 2
Let g = 6 - 4. Let w be (-2 - 17) + 6/g. Let b(h) = -26*h. Let p(j) = -5*j. Determine w*p(o) + 3*b(o).
2*o
Let h = -2 - -1. Let n(l) = 1. Suppose 3*c + 8 = -7, 2*s + 17 = -c. Let v(k) = k**2 - 2*k - 7. Determine h*v(w) + s*n(w).
-w**2 + 2*w + 1
Let h(j) = 7*j**3 + 4*j**2 - 4*j - 4. Let b(m) be the second derivative of -13*m**5/20 - 7*m**4/12 + 7*m**3/6 + 7*m**2/2 + 3*m. Give 4*b(f) + 7*h(f).
-3*f**3
Let v(r) = -r. Let y(f) = -2*f + 21. What is 4*v(a) - y(a)?
-2*a - 21
Let c(n) = -2*n**2 - 5*n + 12. Let k(t) = -t**2 - 4*t + 11. Calculate 3*c(o) - 4*k(o).
-2*o**2 + o - 8
Let z(u) be the first derivative of 4*u**2 + u - 14. Let s(r) = 15*r + 2. Give -4*s(v) + 7*z(v).
-4*v - 1
Let x(q) = -q**2 - q - 1. Let t(f) = -21*f**3 + 4*f**2 + 31*f + 4. Let z(v) = -t(v) - 4*x(v). Let y(m) = -3*m**3 + 4*m. Give 27*y(k) + 4*z(k).
3*k**3
Let u(v) = -21*v - 39. Let q(z) = -32*z - 58. Let s(m) = 5*q(m) - 7*u(m). Let w(j) = 3*j + 4. Give -2*s(t) - 9*w(t).
-t - 2
Let u(i) = -4*i - 7*i**2 + 1 + 0*i**2 + 3 + 1. Suppose 3*k = -4*h + 11, -k - h - 1 = -2*h. Let j(q) = q**2 + q - 1. Give k*u(p) + 6*j(p).
-p**2 + 2*p - 1
Let v(b) = 4*b**2 + 5*b - 2. Let t be ((-6)/(-9))/(2/18). Let l be (-2)/8 + (-42)/24. Let w be 5/3*(l + 5). Let a(r) = -5*r**2 - 6*r + 2. Give t*v(m) + w*a(m).
-m**2 - 2
Let k(a) = -4*a + 4. Let b be (4/(-3))/(4/(-12)). Let u(r) = 0*r - r + 5 - 4*r. Determine b*k(c) - 3*u(c).
-c + 1
Let k(x) be the third derivative of -x**5/120 + x**4/24 + 5*x**3/6 - 4*x**2. Let z(s) be the first derivative of k(s). Let l(v) = 4*v - 2. Give -l(t) - 3*z(t).
-t - 1
Let v(l) be the second derivative of -l**3 + 23*l**2/2 + l. Let j(o) = 3*o**2 + 2*o - 1. Let r be j(-2). Let b(h) = 1 + r - 3*h + h. Give -17*b(m) + 6*v(m).
-2*m + 2
Let g(t) = 2*t**2 + 2*t. Let j(v) = v**3 - 5*v**2 - 5*v. Suppose -4*p - i + 5*i + 12 = 0, 4*p = -4*i + 28. Give p*g(y) + 2*j(y).
2*y**3
Let q(p) be the second derivative of 7*p**4/6 - p**3 - 5*p**2/2 + 2*p. Let g(u) = -3*u - 2*u + 5*u**2 - 2 + 3*u + 0*u. Determine 8*g(a) - 3*q(a).
-2*a**2 + 2*a - 1
Let w(j) = 4*j**3 + 2*j**2 + 3*j + 2. Let t(x) = x**2 + 1. Determine 2*t(o) - w(o).
-4*o**3 - 3*o
Let t(w) = -3*w**2 - 2. Suppose 2*o = 42 - 54. Let n(k) = 7*k**2 + 5. Determine o*n(i) - 15*t(i).
3*i**2
Suppose -2*m + 3*l = -6*m - 7, 2 = -3*m + l. Let b(d) = -d + 1. Let y(u) = -7*u + 2. Let s(q) = 13*q - 4. Let f(k) = -4*s(k) - 7*y(k). What is m*f(o) + 4*b(o)?
-o + 2
Let m(b) = 9*b + 7. Let o(c) = -10*c - 8. Give -6*m(l) - 5*o(l).
-4*l - 2
Let m(c) = -4*c**2 + 36. Let s(j) = -j**2 + 7. What is 3*m(d) - 16*s(d)?
4*d**2 - 4
Let d(h) = -h - 1. Let g(r) = -2*r - 1. Determine 3*d(m) - g(m).
-m - 2
Let j(n) be the third derivative of 0*n + 2/3*n**3 + 0 + 1/24*n**4 - n**2. Let w(h) = 3*h + 11. Suppose 22 = -b - b. Give b*j(z) + 4*w(z).
z
Let g(l) = l - 1. Suppose -2*u + 4 = -j, 5*u - 5*j - 13 = -3. Let f(y) = y - 4. Give u*g(x) - f(x).
x + 2
Let i(l) = 20*l**2 + 20*l - 6. Let w(v) = 7*v**2 + 7*v - 2. What is 3*i(n) - 8*w(n)?
4*n**2 + 4*n - 2
Let n(h) = -26*h**2 - 3*h - 3. Let u(y) = -25*y**2 - 4*y - 4. Give -4*n(g) + 3*u(g).
29*g**2
Let u(s) = -5*s**2 + 3*s - 7. Let x(p) = -3*p**2 + 2*p - 4. Suppose 2*z - 36 = z. Let d = -15 + z. Suppose 3*f - d = -0*f. Give f*x(i) - 4*u(i).
-i**2 + 2*i
Let q be (-2)/(-7) - 18/14. Let o(h) = -4*h. Suppose -4*t + 5*k = -0*t - 21, -3 = -2*t + k. Let j be (9/15)/(t/5). Let a(f) = f. Give j*a(p) + q*o(p).
p
Let n(z) be the first derivative of -5*z**4 - 17*z**2/2 + 1. Let i(o) = -7*o**3 - 6*o. Give -17*i(t) + 6*n(t).
-t**3
Let h(u) = 4*u**3 + 19*u**2. Let p(x) = -9*x**3 - 39*x**2. Give -13*h(c) - 6*p(c).
2*c**3 - 13*c**2
Let w(r) = 10*r**2 + 11*r + 5. Let z = 2 - 4. Suppose 61 = 5*t - 3*m, -2*m - m = -t + 17. Let f(i) = 2*i**2 + i + 1 - 12*i + 13*i. Give t*f(x) + z*w(x).
2*x**2 + 1
Let j = -14 + 27. Let q = 8 - j. Let w(v) = v - 1. Let s(z) = 3*z - 3. What is q*w(r) + 2*s(r)?
r - 1
Let c(g) = -4*g**2 - 28*g. Let w(f) = 17*f**2 + 112*f. What is 9*c(y) + 2*w(y)?
-2*y**2 - 28*y
Let d = 9 + -4. Let y(n) = 0*n - 3*n + d*n**3 + 7*n**2 - 4*n**2. Let j(x) = -6*x**3 - 4*x**2 + 4*x. Calculate -3*j(g) - 4*y(g).
-2*g**3
Let l(n) = -2*n + 26. Let k(z) = z - 13. What is -5*k(c) - 2*l(c)?
-c + 13
Let n(l) = 2*l - 11. Let f be n(7). Let i(k) = k**2 + 4*k. Let x(w) = -2*w**2 - 9*w. Calculate f*x(c) + 7*i(c).
c**2 + c
Let a(u) = 5*u**2 - 4*u. Let m(p) be the first derivative of -p**4/4 + p**3/3 - p**2/2 + 7. Calculate -a(i) + 2*m(i).
-2*i**3 - 3*i**2 + 2*i
Suppose -s - 3*s - 12 = 0. Let m(p) = -3*p**2 + 2*p**2 + 2*p**2 + 2*p + 1 + 0*p**2. Let b(l) = -l**2 - 2*l - 2. Give s*m(n) - 2*b(n).
-n**2 - 2*n + 1
Let f(n) = -15*n. Let h(a) = -16*a + 1. Give 3*f(k) - 2*h(k).
-13*k - 2
Let r(t) = -14*t + 128. Let i(z) = -5*z + 43. What is -11*i(c) + 4*r(c)?
-c + 39
Let p(h) = h + 6. Let o(r) = 1. Determine -2*o(g) + p(g).
g + 4
Let g(m) = 7*m**3 + 3*m**2 - m. Let h(l) = -8*l**3 - 4*l**2 + l + 1. Give 4*g(v) + 3*h(v).
4*v**3 - v + 3
Let l(c) = 7 - 5 - 5*c + 0*c + 6. Let a(i) = -3*i + 1. Let d be a(2). Let u(v) = -4*v + 7. Calculate d*l(x) + 6*u(x).
x + 2
Let a(t) = -8*t**2 + 3*t + 2. Let v(x) = -9*x**2 + 4*x + 3. What is 6*a(o) - 5*v(o)?
-3*o**2 - 2*o - 3
Let q = -3 - -4. Let j(r) = 2*r**3 - 1. Let d = 3 - 2. Let n(w) = -3 - 2*w**2 + 3*w**2 + 4. What is d*n(a) + q*j(a)?
2*a**3 + a**2
Suppose -3*f = 2*z + 7, f + 5*z + 21 = -3*f. Let k = 5 - f. Let w(n) = 2*n**2 - n - 3. Let c(p) = -p**2 + p + 2. Calculate k*w(d) + 6*c(d).
2*d**2 + 2*d
Let m(x) = x**2 + x + 6. Let j(v) = -v + 1. What is j(h) - m(h)?
-h**2 - 2*h - 5
Let a(j) = -3*j**3 - 2*j**2 - 2*j - 2. Let g(i) = 7*i**3 + 5*i**2 + 5*i + 5. What is -5*a(m) - 2*g(m)?
m**3
Let n(m) = 145*m - m**3 - 131*m - 14*m**2 - 9*m**3 - 14. Let a(r) = -2*r**3 - 3*r**2 + 3*r - 3. Give -14*a(p) + 3*n(p).
-2*p**3
Let r be (-3 - -2*5)*2. Let l(f) = -3*f**2 - 5*f + 5. Let z(n) = -8*n**2 - 14*n + 14. What is r*l(w) - 5*z(w)?
-2*w**2
Let z(i) = -i + 1. Let j(g) = 3*g + 1. Give -j(f) - 4*z(f).
f - 5
Let c(b) = 4*b**3 - 14. Let a(h) = 3*h**3 - 9. What is 7*a(u) - 5*c(u)?
u**3 + 7
Let p(r) = -r. Let f(t) = -21*t - 3. What is -f(v) + 6*p(v)?
15*v + 3
Let p(t) = t + 1. Let u(k) = -7*k - 2. What is 5*p(x) + u(x)?
-2*x + 3
Suppose 2*l + 5 = -3, 3*q - l + 2 = 0. Let y(s) = 2*s**3 - s**2 + 3*s. Let f(o) = 2*o**3 + 4*o. Give q*f(x) + 3*y(x).
2*x**3 - 3*x**2 + x
Let t(r) = -r. Let y(p) = 13*p + 2. Determine 5*t(s) + y(s).
8*s + 2
Let b(l) = -24*l**2 - 4. Let z(w) = 48*w**2 + 7. Determine -7*b(j) - 4*z(j).
-24*j**2
Let a(w) = -w**2 - 3*w - 2*w + 0*w**3 + 4 + 3*w**2 - 2*w**3. Suppose 9 + 6 = -5*q. Let z(r) = -2*r**3 + r**2 - 4*r + 3. Calculate q*a(s) + 4*z(s).
-2*s**3 - 2*s**2 - s
Let j = 22 + -16. Let q(h) = -5 - 3 + j - 3 - h**2 - 2*h. Let u(g) = 2*g**2 + g**2 + 5*g + 6 - 2*g**2 - 2*g. Give -5*q(r) - 4*u(r).
r**2 - 2*r + 1
Let o(z) = z**3 + 2*z + 2. Let j(g) = 463 - 462 + 4*g**3 + g - 3*g**3. Let t be (-2 + 0)*1*-3. Suppose 2*q = 2*l + t, q + 13 = -4*l + 6*q. Give l*j(p) + o(p).
-p**3
Let g = 113 + -112. Let i(a) = -3*a**3 + 4*a**2 - 1. Let p(l) = l**3 - l**2. Determine g*i(y) + 4*p(y).
y**3 - 1
Let g(l) = 1. Let s(f) = -3*f**2 + 7*f + 2. Let x be s(3). Let y(z) = -z - 4. Calculate x*g(j) - y(j).
j
Suppose f - 18 = -f. Let c(x) = 2*x**3 + 2*x**2 + 9*x. Let l(h) be the second derivative of -h**5/20 - h**4/12 - 2*h**3/3 - 8*h. Give f*l(r) + 4*c(r).
-r**3 - r**2
Let k(a) = 71*a**2 + 2*a + 2. Let l(p) = 12567*p**2 + 355*p + 355. Calculate -355*k(q) + 2*l(q).
-71*q**2
Let q(f) = 14*f**3 - f**2 + f - 17. Let a(d) = -5*d**3 + 6. Let x(v) = 8*a(v) + 3*q(v). Let u(m) = m**3 - m**2 + m - 1. What is -6*u(c) + 2*x(c)?
-2*c**3
Let n(f) = 4*f**3 + 2*f**2 + 7*f - 5. Let k(w) = 3*w**3 + w**2 + 6*w - 4. Determine -5*k(u) + 4*n(u).
u**3 + 3*u**2 - 2*u
Let f(a) = -6*a**3 - 2*a**2 + 11. Let x(w) = w**2 - 9*w + 13. Let c = 19 + -13. Let z be x(c). Let n(s) = 4*s**3 + s**2 - 7. Determine z*f(v) - 8*n(v).
-2*v**3 + 2*v**2 + 1
Suppose 27 = -9*x + 36. Let p(v) = v**3 + v**2 - 3*v - 1. Let w(o) = 3*o**2 + o**2 - 5*o**2 + o. Calculate x*p(u) + 3*w(u).
u**3 - 2*u**2 - 1
Let o(t) = -t**2 - t. Let p(n) = 4 + 4*n - 13 + 5*n**2 + 8. Give 4*o(f) + p(f).
f**2 - 1
Let t(z) = 5*z. Let g(c) = -3*c. Suppose -8*k + 4*k = 2*i - 4, -3*i = 3*k. Let p(l) = -l**3 - 4*l**2. Let a be p