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Let k(f) = -1 - 2 + 2. Let w(j) = -2*j - 12. Suppose -6 - 30 = 3*s. Suppose -3 = -2*h - 1. Give h*w(m) + s*k(m).
-2*m
Let c(y) = 23*y**2 - 46*y. Let s(n) = -n**2 + n. What is -c(v) - 46*s(v)?
23*v**2
Let d(a) = -a**3 + 11*a**2 + 5*a + 7. Let g(t) = t**3 - 6*t**2 - 3*t - 4. Give -3*d(u) - 5*g(u).
-2*u**3 - 3*u**2 - 1
Let d(i) = 6*i**3 - 17*i**2 + 17*i + 11. Let c(s) = -2*s**3 + 6*s**2 - 6*s - 4. Suppose -5*v = -2*v - 3*a - 51, -85 = -5*v - a. What is v*c(p) + 6*d(p)?
2*p**3 - 2
Let j(i) = 67*i**2 + 5*i + 5. Let l(g) = 872*g**2 + 64*g + 64. What is 64*j(a) - 5*l(a)?
-72*a**2
Suppose 13*b = 5*b + 40. Let h(p) be the second derivative of -p**3/3 + 5*p**2/2 + 3*p. Let i(n) = -n + 2. What is b*i(w) - 2*h(w)?
-w
Let y(h) = -5*h**2 - h - 3. Let x(k) = k + 1. Give -3*x(b) - y(b).
5*b**2 - 2*b
Let k(l) = -3*l**2 + 8*l - 8. Let x(p) = -p**2 + p - 1. What is -3*k(g) + 24*x(g)?
-15*g**2
Let l(p) = -2*p + 3. Let j(v) be the second derivative of -v**3/2 + 2*v**2 - 7*v. Give -4*j(s) + 5*l(s).
2*s - 1
Let v(o) = -o + 1. Let q(i) = 4*i - 7. What is -q(b) - 5*v(b)?
b + 2
Let z(g) = 29*g + 4. Let j(x) = -7*x - 1. Calculate 9*j(h) + 2*z(h).
-5*h - 1
Let z(r) = -r**2 - 2*r - 3. Let p(n) = 5*n**2 + 9*n + 13. Let g(j) = j**3 + 5*j**2 + j + 1. Let l be g(-5). What is l*p(t) - 18*z(t)?
-2*t**2 + 2
Let b(s) = -35*s**3 - 5*s**2 + 7*s - 7. Let j(t) = -52*t**3 - 7*t**2 + 10*t - 10. Determine -7*b(m) + 5*j(m).
-15*m**3 + m - 1
Suppose 2*v + 3*v - 165 = 0. Let q(s) = 81*s**2 + 33*s. Let w(d) = -15*d**2 - 9*d. Let z(i) = 7*i**2 + 4*i. Let m(y) = 2*w(y) + 5*z(y). What is v*m(p) - 2*q(p)?
3*p**2
Let w(y) = -5*y**3 - 3*y + 1. Let c(j) = 129 - 4*j - 11*j**3 - 3*j - 127. What is -4*c(b) + 9*w(b)?
-b**3 + b + 1
Let q(a) be the third derivative of a**6/120 + a**5/60 - a**4/24 - a**3/6 - a**2. Let r(v) = 7*v**3 + 6*v**2 - 6*v - 6. Give 6*q(l) - r(l).
-l**3
Let s(m) = 6*m**2 + 10*m + 13. Let v(t) = -2*t**2 - 3*t - 4. Let o = 2 + -4. Determine o*s(g) - 7*v(g).
2*g**2 + g + 2
Let n(c) = -11*c**2 - 2*c + 11. Let t(k) = -4*k**2 - k + 4. Calculate 3*n(m) - 8*t(m).
-m**2 + 2*m + 1
Let v = 121 + -128. Let g(p) = -2*p**2 + 7*p + 8. Let a(d) = -2*d**2 + 6*d + 7. What is v*a(t) + 6*g(t)?
2*t**2 - 1
Let m(q) = -10*q**2 - q + 1. Let t(w) = -11*w**2 - w + 1. Calculate -5*m(n) + 4*t(n).
6*n**2 + n - 1
Let p(b) = -b - 1. Let u(v) = 1. Let l(s) = s**3 + 3*s**2 - 28*s - 3. Let t be l(-7). Give t*u(c) - 3*p(c).
3*c
Suppose -h + 5*h = -2*z + 18, -z + 3*h - 6 = 0. Let q(d) = d + z*d - 4 - d. Let v = -3 - -7. Let s(w) = w - 1. What is v*s(y) - q(y)?
y
Let h(l) = -4*l + 3 - 5 + 3*l**2 + l**3 + 3. Let g(y) = -y**2. Let c(p) = 6*p**3 + 19*p**2 - 23*p + 6. Let f(j) = c(j) + 2*g(j). What is -6*f(k) + 34*h(k)?
-2*k**3 + 2*k - 2
Let o(q) = -2*q**2 + 1 + 0*q**2 + q + 3*q**2. Let a(x) = 3. Let j be 4/(-6)*(-7 - -4). Calculate j*o(r) - a(r).
2*r**2 + 2*r - 1
Let t = -1 - -3. Let o(l) = -l**2 + 9*l - 3. Let f be o(8). Let a(i) = -t - i + 0*i + f. Let d(v) = -v + 2. Give 4*a(c) - 5*d(c).
c + 2
Let d(t) = t**2 - 1. Let a(w) = -w**2 + 8*w - 8. Let x be a(7). Let z(g) = -4*g**3 + 5*g**2 - 4. Give x*z(c) + 5*d(c).
4*c**3 - 1
Suppose 9*z - 6*z - 39 = 0. Let v(q) = z*q**2 + 13*q - q + 3*q + 15 + 5*q**2. Let t(j) = -j**2 - j - 1. Calculate 15*t(b) + v(b).
3*b**2
Let p(h) = h**2 + 1. Let u(c) = 4*c**2 - 4*c + 2. Let k(j) = -6*p(j) + u(j). Let w = 10 + -17. Let y(a) = a**2 + 2*a + 2. Calculate w*y(l) - 3*k(l).
-l**2 - 2*l - 2
Let j(x) = -2*x - 2. Let v(i) = -6*i - 6. What is -16*j(d) + 5*v(d)?
2*d + 2
Let x(j) be the second derivative of 5*j**3/6 + j**2/2 - 4*j. Let s(g) = 1 + g + 6 - 4 - 2. Give 3*s(k) - x(k).
-2*k + 2
Let z(x) = -7*x + 7. Let w(o) = -o - 1. What is -4*w(s) - z(s)?
11*s - 3
Let g(r) = 2*r - 7. Let b(y) = y - 6. Determine -4*b(k) + 3*g(k).
2*k + 3
Let m(w) = 4. Let q(c) = 3. Let y(g) = -2*m(g) + 3*q(g). Let r(a) = -a**2 - a - 1. Calculate -r(t) - 5*y(t).
t**2 + t - 4
Let m(f) = -3*f**3 + 17*f**2 - 8*f + 8. Let y(i) = 2*i**3 - 11*i**2 + 5*i - 5. What is -5*m(h) - 8*y(h)?
-h**3 + 3*h**2
Let z(j) = -23*j**3 + 5*j**2 + 5*j - 4. Let t(y) = 12*y**3 - 3*y**2 - 3*y + 2. What is 5*t(n) + 3*z(n)?
-9*n**3 - 2
Let i(u) = -9*u**2 + u - 9. Let o(t) = -t**2 - 1. Give -2*i(s) + 22*o(s).
-4*s**2 - 2*s - 4
Let v(n) = -7*n + 4. Let w(m) = -m + 1. Suppose -j = -2*l + 15, 0 = -2*l - j + 5. Let q = l + -10. Give q*w(g) + v(g).
-2*g - 1
Let x(i) = -3*i**3 + 14*i**2 + 6*i. Let p(t) = -3*t**3 + 15*t**2 + 7*t. What is 6*p(m) - 7*x(m)?
3*m**3 - 8*m**2
Suppose -30 = -5*h - 0*h. Let g(z) = -20*z**3 + 23*z - 14. Let i(u) = 7*u**3 - 8*u + 5. Give h*g(l) + 17*i(l).
-l**3 + 2*l + 1
Let p(f) = 2*f**2 - 3*f - 4. Suppose -13 = -2*h + 2*n - 3*n, 0 = 3*h - 5*n + 13. Let i(c) = -3*c**2 + 4*c + 5. Calculate h*i(q) + 5*p(q).
-2*q**2 + q
Let m(o) = o - 3. Let j be m(5). Let p(r) = -r**3 + r**2 + 2. Let d be p(0). Let k(n) = 2 + j - 6*n + d*n - n. Let s(a) = 14*a - 11. Give -17*k(v) - 6*s(v).
v - 2
Let t(b) = -8*b**2 - 7. Let p(n) be the third derivative of 0 - 3*n**2 + 0*n + 4/3*n**3 + 0*n**4 + 3/20*n**5. What is 6*p(v) + 7*t(v)?
-2*v**2 - 1
Let o(v) = -3*v**2 + 3*v + 2. Let p(m) = m + 13. Let g be p(-9). Let u(d) = -d. Let r(j) = g*u(j) + o(j). Let k(z) = 7*z**2 + 3*z - 5. What is -2*k(l) - 5*r(l)?
l**2 - l
Let q = 1 + 1. Let v(o) = -2*o + q*o**2 + 3*o**2 - 4*o**2. Let d be 85/(-40) - 3/(-24) - 0. Let i(n) = 2*n**2 - 5*n. Give d*i(h) + 5*v(h).
h**2
Let h(t) = -2806*t**2 - 184*t. Let p(n) = -46*n**2 - 3*n. Calculate -3*h(g) + 184*p(g).
-46*g**2
Let f(o) = o**3 + o**2 + 3*o + 1. Let v(w) be the third derivative of w**6/60 + w**5/60 + 5*w**4/24 + w**3/3 - 51*w**2. Give 5*f(z) - 3*v(z).
-z**3 + 2*z**2 - 1
Let g(v) = 43*v + 1. Let i(r) = r. What is g(w) - 2*i(w)?
41*w + 1
Suppose -4*l + 2 = 6. Let z(u) = -4*u**2 - u. Let v(c) = c**2. Let p(b) = -b**3 + 10*b**2 + b - 13. Let a be p(10). What is a*v(f) + l*z(f)?
f**2 + f
Suppose a = 2*c + 3*a + 4, -3*a + 4 = c. Suppose -3 = 2*p + 11. Let h(x) = 7*x - 5. Let v(f) = -10*f + 7. What is c*v(w) + p*h(w)?
w
Let d be ((-28)/(-21))/(2/(-3)). Let l(a) = -7. Let j(c) = 57. Let p(f) = 4*j(f) + 33*l(f). Let k(n) = n - 1. Determine d*k(r) + p(r).
-2*r - 1
Suppose 0 = 12*h + 3 + 81. Let t(k) = 14*k**3 - 7*k**2 + 7. Let r(y) = 7*y**3 - 4*y**2 + 4. What is h*r(z) + 4*t(z)?
7*z**3
Let a(k) = -7*k + 4. Suppose 4*y - y = -3*h - 36, -3*y + 13 = -4*h. Let l(d) = -13*d + 7. What is h*a(n) + 4*l(n)?
-3*n
Let r(n) = n**2 + 5*n + 5. Let c(d) = -2*d**2 - 7*d - 7. Let u(k) = -3 - 45*k + 0 + 50*k. Let h be u(2). Give h*r(y) + 5*c(y).
-3*y**2
Let c(i) = -2*i + 0 + 4 - 7. Let l be c(-4). Let t(s) = s**3 - s**2 + 1. Let r(y) = -7*y**3 + 5*y**2 - 5. Let w = 2 + -1. Determine l*t(x) + w*r(x).
-2*x**3
Let l(d) = -4*d - 5. Let z(u) = 5*u + 6. Suppose f = 3*f - 10. Let k(m) = f*z(m) + 6*l(m). Let a = -20 + 24. Let r(o) = -3*o - 1. What is a*k(p) + r(p)?
p - 1
Let v(q) = q**3 + q**2 + q. Let d(m) = m**3 + 10*m**2 + 10*m. Let a(x) = -d(x) + 6*v(x). Let s(b) = 14*b**3 - 11*b**2 - 11*b. What is -11*a(w) + 4*s(w)?
w**3
Suppose -2*a - 7 - 15 = 0. Let w(q) = -14*q - 8. Let x(r) = 72*r - 143*r + 76*r + 3. Let z(m) = a*x(m) - 4*w(m). Let f(h) = 5*h - 8. What is f(b) - 6*z(b)?
-b - 2
Let c(j) = -j**2 + 3*j + 2. Suppose -12 = -3*x - x. Let d be c(x). Let p(a) = -a**3. Let w(n) be the first derivative of -3*n**4/2 + 2. Give d*w(q) - 10*p(q).
-2*q**3
Let h(g) = -g - 1. Let t(z) = -19*z**2 - 3*z - 3. What is -6*h(o) + 2*t(o)?
-38*o**2
Suppose 0 = -o + 9*o - 16. Let t(c) be the first derivative of 0*c**o + c + 1/3*c**3 - 1/4*c**4 - 3. Let y(r) = -5*r**3 + 6*r**2 + r + 7. Give 6*t(u) - y(u).
-u**3 - u - 1
Let u(n) = -22 - 4*n**2 + 8 + 15 - 2*n. Let a(z) = -z**3 + z**2 + z - 2. Let j be a(0). Let k(b) = -b**2 - b. Calculate j*k(w) + u(w).
-2*w**2 + 1
Let r(t) = -t**2 - t. Let p = 16 + -25. Let j = p - -14. Let u(f) = -f**2 + 5*f + 1. Let z be u(j). Let a(i) = i**3 + i**2 + 3*i. What is z*a(q) + r(q)?
q**3 + 2*q
Let n(p) = p**2 + p. Let f(r) = 2*r**2 + 12*r. Calculate f(x) - 3*n(x).
-x**2 + 9*x
Let d(l) = l - 5. Let j(r) = 1. Let m(z) = d(z) + j(z). Let k(i) = -i + 1. Calculate -2*k(s) - m(s).
s + 2
Let d(a) = 21*a**2 + a - 12. Let p(l) = -10*l**2 + 6. Let k(z) = 6*d(z) + 13*p(z). Let j(t) = -3*t**2 + 5*t + 5. Determine 5*j(h) - 4*k(h).
h**2 + h + 1
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