r - 2
Suppose m - 12 = 7*m. Let j(c) = 4*c**3 - c**2 - 2. Let o(g) be the third derivative of g**6/24 - g**5/30 - g**3/2 + g**2. What is m*o(l) + 3*j(l)?
2*l**3 + l**2
Let s(m) = -4*m**2 - 3*m - 2. Let k(i) = 2*i**2 + i + 1. Let r(d) = -7*k(d) - 3*s(d). Suppose -q - 4 = -17. Let t(l) = 4*l**2 - 4*l + 2. Give q*r(h) + 6*t(h).
-2*h**2 + 2*h - 1
Let z be ((-15)/20)/(2/(-8)). Let r(y) = -2*y - 5. Let d(n) = 4*n + 11. Determine z*d(t) + 7*r(t).
-2*t - 2
Let g(q) be the third derivative of q**4/8 - 7*q**3/6 - 3*q**2. Let h(j) = -j + 4. Determine -3*g(o) - 5*h(o).
-4*o + 1
Let x(h) = -29*h**3 - 13*h + 4. Let f(k) = 14*k**3 + 6*k - 2. Determine -13*f(z) - 6*x(z).
-8*z**3 + 2
Let y(s) = 15*s. Let q(j) = 7*j. Let v = -85 + 87. Determine v*y(o) - 5*q(o).
-5*o
Let d(p) = 1 - 2 + p + 0. Let q(v) = 7*v - 7. Suppose 4*f - 12 = 8. Suppose 5*h = -0 - f. Determine h*q(i) + 6*d(i).
-i + 1
Let r(j) = 3*j**2 - 8*j - 11. Suppose 3*g = 4*h - 32, -4*g = -3*h - 14 + 38. Let f(c) = c**2 - 3*c - 4. What is h*f(n) - 3*r(n)?
-n**2 + 1
Let k(u) = -6. Let b(d) = -d. Calculate -3*b(t) - k(t).
3*t + 6
Let n(z) = -2*z + 7. Let a(s) = -s + 4. Suppose -5*b = -3 - 12. Suppose 5*x - 5*q = 5, 0*q - b*q = -4*x. Determine x*n(v) + 5*a(v).
v - 1
Let s(z) = 2*z. Let c be s(-3). Let y(l) = -6*l - 21 + 8 - 8*l**2 + 8. Let a(q) = q**2 + q + 1. Determine c*a(v) - y(v).
2*v**2 - 1
Let t(w) = 4 - 2 - 4*w + 1. Let d(i) = -i + 1. Let a be -6*(21/(-6) + 3). Give a*d(c) - t(c).
c
Let c(u) = -4*u - 8. Let g(b) = 5*b + 7. Let m(y) = -2*c(y) - 3*g(y). Let r(a) = 2 - 1 + 9*a - 8*a. What is -m(z) - 6*r(z)?
z - 1
Let b(y) = 6*y**2 + y - 1. Let z(c) = c**2. Give b(h) + z(h).
7*h**2 + h - 1
Let y(t) = -4*t - 3. Let u(w) = -w - 14. Let l be u(-14). Let f(r) = l*r - 5*r + 2*r + 0*r - 2. What is -3*f(p) + 2*y(p)?
p
Let m(c) = -3*c**3 - 4*c**2 - 2*c - 5. Let o(t) = -2*t - 3. Let w be o(4). Let r = -15 - w. Let z(s) = 8*s**3 + 11*s**2 + 6*s + 14. Give r*z(v) - 11*m(v).
v**3 - 2*v - 1
Let d(u) = -3*u. Let l(g) be the third derivative of g**4/24 - g**3/6 + 2*g**2. Determine -d(t) - 2*l(t).
t + 2
Suppose 16*r + 50 + 46 = 0. Let v(g) = 9*g - 2. Let q(z) = -9*z + 3. Let o(f) = -2*q(f) - 3*v(f). Let j(u) = 10*u. Determine r*j(n) - 7*o(n).
3*n
Let b(m) = 2*m - 4. Let r(f) = -f + 2. Determine 2*b(w) + 5*r(w).
-w + 2
Let k(t) = 3. Suppose 2*d - 5*d + 12 = 0. Let a(q) = q - 4. What is d*k(p) + 3*a(p)?
3*p
Let u(y) = y. Let a(k) = k + 1. Give -a(q) - u(q).
-2*q - 1
Let i(z) = 2*z**3 - 9*z**2 - 9*z. Let f(d) be the first derivative of 3 - 1/4*d**4 + 5/2*d**2 + 5/3*d**3 + 0*d. Determine -11*f(j) - 6*i(j).
-j**3 - j**2 - j
Let s(p) = 5*p**3 - 11*p**2. Let b(w) = -24*w**2 + 17*w**2 + 9*w**2 - w**3. Give 11*b(v) + 2*s(v).
-v**3
Let o(b) = 5*b - 4. Suppose -5*q - 1 = -2*g + 10, -9 = -3*q - 4*g. Let p(a) = a. What is q*o(j) + 6*p(j)?
j + 4
Let y(r) = r**2 - r + 1. Suppose -3*x = 7*x - 40. Suppose -n + 0 = -1. Let f(g) = -5*g**2 + 3*g - 4. Calculate n*f(l) + x*y(l).
-l**2 - l
Let u = -78 + 76. Let l(m) = 2*m**2 - m - 2. Let i(r) = 2*r**2 - r - 3. Calculate u*i(c) + 3*l(c).
2*c**2 - c
Let c(v) = -7*v**2 - 5*v + 9. Let y(o) = 2*o**2 + 8*o + 9. Let w(u) = u**2 + 2*u + 1. Let k(j) = 10*w(j) - 2*y(j). Calculate 5*c(z) + 6*k(z).
z**2 - z - 3
Let s(i) = -6*i**2 + 16*i. Let p = 12 - 28. Let x(n) = -n**2 + 3*n. Calculate p*x(a) + 3*s(a).
-2*a**2
Let j(l) = -31*l**2 + 9. Let v(x) = -16*x**2 + 5. Give 3*j(o) - 5*v(o).
-13*o**2 + 2
Let r(k) = 8*k + 2. Let f(z) = -7*z - 3. Determine -2*f(m) - 3*r(m).
-10*m
Let r(t) = -7*t + 13. Let s(q) = q. Determine -r(v) - 5*s(v).
2*v - 13
Suppose 0 = -4*j - j - y + 9, -5*y = -3*j + 11. Let a(z) = 0 + 4 - 5*z + 2*z - j*z. Let f be (-2)/2 + (4 - 9). Let t(m) = m - 1. Determine f*t(h) - a(h).
-h + 2
Let o(k) = -11*k**3 - 2*k**2 - 5*k - 4. Let f(x) = 11*x**3 + x**2 + 4*x + 3. Give 4*f(a) + 3*o(a).
11*a**3 - 2*a**2 + a
Let j(x) = x**3 + 3*x**2 + 7*x - 3. Let l(c) = -c**3 - 4*c**2 - 8*c + 4. Calculate 4*j(g) + 3*l(g).
g**3 + 4*g
Let x(w) = 8*w**3 + 6*w**2 + 8*w + 4. Let c(s) = 16 + 23*s**3 + 23*s + 15*s**2 - 4 + 2*s**2 - 1. Determine 6*c(v) - 17*x(v).
2*v**3 + 2*v - 2
Let a(b) = b**2 + 8*b + 18. Let c be a(-4). Let s(f) = -8*f + 5. Let d(g) = -7*g + 4. Give c*s(z) - 3*d(z).
5*z - 2
Let f(d) = d**3 + d**2. Let k(y) = -9*y**3 - 6*y**2. Give -6*f(u) - k(u).
3*u**3
Let p(z) = z**2 - 2*z - 2. Let t be p(3). Let a(c) = -6 + c + 3 + 3 - t. Let y(u) = -2*u + 3. What is -a(v) - y(v)?
v - 2
Let o(c) = -5*c + 1. Let m = -3 - -5. Let s(q) = -m*q + 2*q + 3*q - 2*q. Calculate -o(r) - 4*s(r).
r - 1
Let g(z) = -3*z**3 - 5*z**2 - 6*z + 3. Let f be ((-10)/3)/(-1)*24/(-16). Let c(m) = m**3 + m**2 + m - 1. Give f*c(a) - g(a).
-2*a**3 + a + 2
Let v(q) = -q. Let i(f) be the third derivative of -1/60*f**5 + 5/24*f**4 + 0 - 7*f**2 + 0*f - 1/6*f**3. Give 2*i(k) + 11*v(k).
-2*k**2 - k - 2
Let a(x) = -x**2 + 3*x - 4. Let g(z) = 2*z**2 - 7*z + 9. Let y(p) = 9*a(p) + 4*g(p). Suppose 3 = 4*t + 7. Let j(w) = 6*w**2 + 3*w. Calculate t*j(l) - 3*y(l).
-3*l**2
Let i(x) = -x - 1. Let j(b) be the second derivative of -5*b**3/3 - 5*b**2 - 12*b. Determine -8*i(c) + j(c).
-2*c - 2
Let n(g) = 3*g**2. Let z(u) = 4*u**2 - 11*u**2 + 6*u**2. Calculate 3*n(w) + 7*z(w).
2*w**2
Let p(u) = 3*u**3 + u**2 + 2*u. Let r(o) = 4*o**3 + o**2 + 3*o - 1. Let k = -89 + 92. What is k*p(m) - 2*r(m)?
m**3 + m**2 + 2
Let x(p) be the third derivative of p**4/8 + 17*p**2. Let t(q) = 6*q. What is 6*t(d) - 11*x(d)?
3*d
Let m(r) = 6*r + 3. Let k(n) = -7*n - 4. What is 3*k(y) + 4*m(y)?
3*y
Let d(m) = 3*m**2. Let o(n) = n**2. Suppose 4*l - 80 = 40. Suppose k + 4*k = -l. What is k*o(z) + d(z)?
-3*z**2
Let m(r) = r**2 - 2*r - 3. Let s(t) = t**2 - 2*t - 3. What is -6*m(c) + 7*s(c)?
c**2 - 2*c - 3
Let v(t) = -9*t**2 + 3*t + 2. Let f(m) = 9*m**2 - 2*m - 2. What is 4*f(n) + 3*v(n)?
9*n**2 + n - 2
Suppose 0 = -3*c + c + 2. Let s be -3 - (-2*2 + c). Let y(r) = s + r + 1 + r**2 - 2. Let o(v) = -2*v**2 - 2*v + 4. Determine -o(m) - 3*y(m).
-m**2 - m - 1
Let u(a) = 11*a**3 - 4. Let w(s) = 1. Give -u(y) - 4*w(y).
-11*y**3
Let j(g) = 5*g - 4. Let o(m) = -5*m + 5. Give 7*j(h) + 6*o(h).
5*h + 2
Let i(q) = -5*q**2 - 2*q + 5. Let g(r) = 4*r**2 + 1 - 5*r**2 - r + 0*r. Let y(p) = -2*g(p) + i(p). Let w(f) = -f**2 + 1. Determine 7*w(u) - 2*y(u).
-u**2 + 1
Let m(c) = -3*c**2 - 2*c. Let y(d) = -10*d**2 - 11*d + 4. Let b(t) = -t + 1. Let k(s) = 4*b(s) - y(s). What is 2*k(h) + 7*m(h)?
-h**2
Let x(h) = -4*h - 3 + 0 + 7 + 0*h - 3*h**3. Let c(l) be the second derivative of 2*l**5/5 + 11*l**3/6 - 11*l**2/2 + 3*l. Give -4*c(r) - 11*x(r).
r**3
Let g(j) = -694*j**2 - j + 693*j**2 - 4 + 2. Let x(n) = n**2 + n + 1. Calculate g(u) + 2*x(u).
u**2 + u
Let y(n) = -1. Let r(i) = 2*i + 8. Let p(j) = -r(j) - 5*y(j). Let h(w) = 4*w + 7. Calculate -2*h(u) - 5*p(u).
2*u + 1
Let t = 4 - -12. Let i(f) = 10*f + 6. Let m(o) = -o - 1. Let w(p) = 5*p + 4. Let a(y) = -2*m(y) - w(y). Give t*a(v) + 5*i(v).
2*v - 2
Let b(y) = 4 - 3*y + 2*y - 3 - y**2 + 0. Let o(z) = -z**3 - 6*z**2 - 6*z + 7. What is 6*b(v) - o(v)?
v**3 - 1
Let s(h) = 19*h + 6. Let g(q) = 37*q + 11. What is -4*g(d) + 7*s(d)?
-15*d - 2
Let z(j) = 6*j**3 + 4*j**2 - 4*j + 4. Let t(c) = -5*c**3 - 3*c**2 + 3*c - 3. Let p = 1 - -2. Determine p*z(l) + 4*t(l).
-2*l**3
Let r(z) = -z**3 + 1. Let i(p) = 4*p**3 - 5. Suppose -4*x + 10 = -5*x. What is x*r(d) - 2*i(d)?
2*d**3
Let x(q) = -6*q**2 - 11*q + 5. Let l(b) = -2*b**2 - 4*b + 2. Let j(a) = a**3 - a**2 - 11. Let n be j(0). Calculate n*l(t) + 4*x(t).
-2*t**2 - 2
Let v(l) = -l**3 + 4*l**2 + l + 2. Let x be v(4). Suppose -t + 3 = 1. Let a(c) = c**2 + 2*c**t + 5*c - c**2 + x. Let w(b) = -b - 1. Calculate -a(s) - 5*w(s).
-2*s**2 - 1
Let g(w) = -15386*w**2 + 392. Let l(m) = -196*m**2 + 5. Calculate -5*g(j) + 392*l(j).
98*j**2
Let w be -3*(12/(-9))/2. Let y(t) = 5 + t - 2 - 4*t**w + 3*t + 3*t**3 - 1. Let j(p) = 2*p**3 - 3*p**2 + 3*p + 1. Calculate -4*j(q) + 3*y(q).
q**3 + 2
Let w(r) be the third derivative of -r**5/60 - r**4/24 + r**3/6 - r**2 - 12*r. Let j(a) = -2*a**2 + 2*a - 2. Calculate -j(x) - 2*w(x).
4*x**2
Let t(m) = -m**3 + 2*m**2 - m - 3. Let v(o) = -o**2 + o + 1. Suppose 0 = 2*j + 27 - 25. Give j*t(g) - v(g).
g**3 - g**2 + 2
Let p(z) = 2*z**3 + 6*z**2 + 3*z. Let t(b) = 3*b**3 + 12*b**2 + 7*b. Calculate 9*p(m) - 4*t(