 + 1
Let k(c) = 11*c**2 + 5. Let j(z) = 56*z**2 + 24. Determine -5*j(q) + 24*k(q).
-16*q**2
Let d(k) = 7*k**3 - 6*k**2 - 5*k + 5. Let g(n) = -n**2 + n - 1. Let s be g(2). Let v(l) = -4*l**3 + 3*l**2 + 3*l - 3. What is s*d(f) - 5*v(f)?
-f**3 + 3*f**2
Let q(o) = -4*o - 4. Let b(k) = 3*k + 3. Suppose 2*l - 2*c - 78 = 6*l, -3*c = 5*l + 99. Suppose 6*f + 65 = -85. Let r = f - l. Determine r*b(w) - 5*q(w).
-w - 1
Let m(f) be the third derivative of -3*f**6/40 - f**5/12 - 5*f**4/24 - 6*f**2. Let d(r) = -8*r**3 - 4*r**2 - 4*r. Calculate 5*d(p) - 4*m(p).
-4*p**3
Suppose -3*c = -2 + 35. Let o(d) = 8*d**3 + 2*d**2. Let b(x) = 3*x**3 + x**2. What is c*b(n) + 4*o(n)?
-n**3 - 3*n**2
Let n(c) = -c**2 - 2*c - 2. Let q(z) be the third derivative of z**5/60 + z**4/24 + z**3/6 + 33*z**2. What is n(p) + 2*q(p)?
p**2
Let y be (-24)/(-14) + 8/28. Let o(i) = 4 + 3 - 6. Let x(w) = -1. Let s(q) = -5*o(q) - 6*x(q). Let k(m) = m**3 + m**2 + 2. What is y*s(v) - k(v)?
-v**3 - v**2
Let h(j) = -15*j**2 - 17*j + 13. Let x(y) = 7*y**2 + 8*y - 6. Suppose a - 12 = 5*a - 4*f, -5*f = 5*a + 45. Give a*h(d) - 13*x(d).
-d**2 - 2*d
Let a(y) = -4*y**2 + 10*y - 14. Let x(r) = -r**2 - r + 1. What is a(p) + 12*x(p)?
-16*p**2 - 2*p - 2
Let g(s) = -3*s - 3. Let h(p) = -2*p - 3. Let k(t) = 3*g(t) - 2*h(t). Let z(c) = -c. What is -k(w) + 4*z(w)?
w + 3
Let p(r) = -4*r - 4. Let d(l) = -3*l - 6 - 4*l + l. Suppose 7 = -7*v + 8*v. Give v*p(x) - 5*d(x).
2*x + 2
Let p(x) = -x**2 + 4*x + 1. Let w be p(3). Suppose 2 = w*t - 2. Let b(v) = t + 5*v - 5*v - 3*v. Let i(z) = z. Calculate b(u) + 4*i(u).
u + 1
Let d(t) = -6*t**2 - 8*t - 1. Let g(b) be the first derivative of -5*b**3/3 - 7*b**2/2 - b + 7. Determine -6*d(u) + 7*g(u).
u**2 - u - 1
Let r(j) = j + 4*j**2 - 2*j**3 - 1 + 0*j**3 - 1. Let z(x) = -x**3 + 3*x**2 + x - 1. Let a be 3 - 4 - (3 - 1). Determine a*r(i) + 4*z(i).
2*i**3 + i + 2
Let j(s) be the first derivative of -5*s**3 - s**2 + 42. Let f(r) be the third derivative of -7*r**5/60 - r**4/24 + r**2. Give 13*f(h) - 6*j(h).
-h**2 - h
Let p(j) = -2*j**3 - 4*j**2 + 7*j + 4. Let c(m) = m**3 + 3*m**2 - 6*m - 4. Calculate -4*c(s) - 3*p(s).
2*s**3 + 3*s + 4
Let j(t) be the first derivative of -t**4/4 - 5*t**3/3 + 5*t - 72. Let l(i) = -14 + 3*i**3 - 7*i**2 + 19*i**2 + 2. Determine -12*j(c) - 5*l(c).
-3*c**3
Let t(l) = 19*l**2 + 6*l - 6. Let x(o) = 20*o**2 + 5*o - 5. Calculate 5*t(s) - 6*x(s).
-25*s**2
Let a(r) = -r**3 + 5*r**2 + r. Let i(x) = x**3 - 8*x**2 - x. Calculate -8*a(t) - 5*i(t).
3*t**3 - 3*t
Let z(u) = -1. Let g(x) = x**2 - 4*x + 3. Calculate -g(y) - z(y).
-y**2 + 4*y - 2
Let b be -4*(4/6)/(24/18). Let y(r) = r + 1. Let d(s) = 16*s + 16. Let n(q) = 145*q + 145. Let f(z) = 55*d(z) - 6*n(z). What is b*f(j) + 22*y(j)?
2*j + 2
Let n(t) = 2*t. Let q(z) = z**2 - 11*z + 17. Let l be q(9). Let u(w) = 3*w - 3*w - w. What is l*n(r) - u(r)?
-r
Let x(u) = -u**2 + 2*u - 2. Suppose -d = 2*d - 6. Let h(l) = l**d - 2 + 2. Give -h(m) + x(m).
-2*m**2 + 2*m - 2
Let u(t) = -3*t**3 - 9*t**2 + 6*t + 7. Let i(j) = -j**3 - 4*j**2 + 3*j + 3. Give -7*i(m) + 3*u(m).
-2*m**3 + m**2 - 3*m
Let w(m) be the first derivative of 5*m**3/3 - 2*m**2 - 3*m - 45. Let g(y) = 6*y**2 - 4*y - 4. Give 3*g(d) - 4*w(d).
-2*d**2 + 4*d
Let w(y) = -3*y - 5. Let u = 5 - 4. Let b(h) = 1. Let q(v) = u*w(v) + 5*b(v). Let f(x) be the third derivative of x**4/12 - 2*x**2. Give 4*f(r) + 3*q(r).
-r
Suppose 4*o - 17 + 1 = 0. Let c(d) = 3*d - 3. Let k(a) = 10*a - 10. Suppose -h + 4*n = 22, 4*h - 3*n = h - 48. Calculate h*c(x) + o*k(x).
-2*x + 2
Let n be 2 + 2 - (-3)/1. Let x(i) = i**2 + 0*i + 2*i**3 + 4*i - 3 + 0*i - n*i**2. Let z(v) = 3*v**3 - 11*v**2 + 7*v - 5. What is 7*x(b) - 4*z(b)?
2*b**3 + 2*b**2 - 1
Let b(q) = q**2 - q + 1. Let o(u) be the first derivative of 2*u**3/3 + u**2/2 - 11. Determine b(c) - o(c).
-c**2 - 2*c + 1
Let t(g) = 2*g**2 + 2*g - 4. Let i(a) = a**2 + a - 1. Determine 3*i(p) - t(p).
p**2 + p + 1
Let z(u) = u + 3. Let d(j) = -4*j + 10. Let f(x) = -7*x + 19. Let q(o) = 11*d(o) - 6*f(o). Let s = -10 + 7. Determine s*q(v) - 4*z(v).
2*v
Let c(r) = -2*r - 12. Let d(t) = t + 4. Calculate -2*c(j) - 7*d(j).
-3*j - 4
Let o(f) be the second derivative of -1/4*f**4 - 3/2*f**2 + 1/4*f**5 + f + 0 + 0*f**3. Let y(p) = -6*p**3 + 4*p**2 + 4. Give 4*o(g) + 3*y(g).
2*g**3
Let t(p) = 4*p + 4. Let a(s) = -7*s - 7. Let b be (6 - (-1 + 4)) + 0 - -2. Calculate b*t(d) + 3*a(d).
-d - 1
Let w(l) = 14*l**2 + 3*l - 14. Let u(t) = -5*t**2 - t + 5. What is -17*u(h) - 6*w(h)?
h**2 - h - 1
Let z(a) = -13*a**2 - 5*a - 2. Let u(t) = -20*t**2 - 8*t - 3. What is -5*u(d) + 8*z(d)?
-4*d**2 - 1
Suppose -2*z + 3 = -3*z, 2*t - z = 9. Let p(x) = 6*x + 4. Let c(v) = -5*v - 3. Determine t*p(w) + 4*c(w).
-2*w
Let y(o) = 2*o**2 - 6. Let j(z) = 0 - 3 + 2. Suppose -2*g = -18 + 6. What is g*j(w) - y(w)?
-2*w**2
Let x(a) = 4*a - 3*a + 0*a. Let l(m) = -4*m - 2. Calculate -l(f) - 3*x(f).
f + 2
Let r(b) = -2*b**3 + 4*b**2 + 10. Let n(x) = 2*x**3 - 3*x**2 - 10. Give 4*n(p) + 3*r(p).
2*p**3 - 10
Let s(i) = -i**2 - i. Let m(l) = 8*l**2 - 33*l + 1. Give -m(j) - 6*s(j).
-2*j**2 + 39*j - 1
Let y(v) = -5*v**3 - 8*v**2 - 8*v + 5. Let u(o) = -8*o**2 + 2 - 2*o**3 + 5*o**2 + 4*o - 7*o. Calculate 8*u(x) - 3*y(x).
-x**3 + 1
Let u(d) = 12 + 2*d - 5*d - 10. Let z(b) = 16*b - 11. Let x(i) = -i - 8. Let o be x(-6). What is o*z(c) - 11*u(c)?
c
Let f(i) be the second derivative of -2*i**3/3 + i**2 + i. Let z(v) = v. Let m = -28 - -31. Calculate m*z(g) + f(g).
-g + 2
Let w be (-2)/(-3) - (-48)/(-18). Let y(u) = u**2 - u + 2. Let s(c) = 5*c**2 - 5*c + 9. Calculate w*s(l) + 9*y(l).
-l**2 + l
Let p be 1 + -1 + 2 - 6. Let f(x) = 16*x**2 - 11. Let i(d) = 3*d**2 - 2. Let s = 30 + -70. Let g = 62 + s. Give g*i(y) + p*f(y).
2*y**2
Let q(m) = -5*m**2 - 6. Let v(o) = -2*o**3 - o**2 - o - 1. Let z be v(-1). Suppose 8*p - 30 = 3*p. Let c(a) = a**2 + 1. What is p*c(l) + z*q(l)?
l**2
Let k(c) = -1. Let w(x) = x - 16. Give 10*k(h) - 2*w(h).
-2*h + 22
Let o(q) = 11*q**2 - 6*q. Let j(n) = 32*n**2 - 17*n. Determine 6*j(a) - 17*o(a).
5*a**2
Let c(p) = 31*p**2 + 24*p - 49. Let x(b) = 8*b**2 + 6*b - 12. Let s(o) = 2*c(o) - 9*x(o). Let y(u) = 3*u**2 + 2*u - 3. Give 2*s(z) + 7*y(z).
z**2 + 2*z - 1
Let c(g) = -111*g**2 - 5. Let r(i) = -1166*i**2 - 53. Calculate 53*c(h) - 5*r(h).
-53*h**2
Let j(t) = -2*t**3 - 5*t**2 - 2*t + 3. Let r(n) = n**2 + n - 1. What is -j(i) - 3*r(i)?
2*i**3 + 2*i**2 - i
Let a(d) = -924*d**2 - 66*d. Let j(z) = 71*z**2 + 5*z. Determine -5*a(f) - 66*j(f).
-66*f**2
Let u = -2 - -2. Suppose 3*h + 5 + 4 = u. Let x(t) = 2*t**2 - 2. Let g(j) = j**3 + 3*j**2 - 3. Let q be 2 + (-2 + 2)/1. What is h*x(r) + q*g(r)?
2*r**3
Let b(l) = 2*l**3 + 4*l + 4. Suppose -3*k - 16 = k. Let j(r) = 6*r**3 + 7*r - 1. Let d(f) = f**3 + f - 1. Let m(y) = 4*d(y) - j(y). Calculate k*m(t) - 3*b(t).
2*t**3
Let t = -47 + 50. Let f(m) = 4. Let p(d) = d + 5. Determine t*f(g) - 2*p(g).
-2*g + 2
Let d(u) = -u. Suppose -3*g + 4 - 7 = 0. Let m(k) be the third derivative of k**6/60 - k**5/30 - k**4/24 + 8*k**2. Calculate g*m(w) + 2*d(w).
-2*w**3 + 2*w**2 - w
Let u(h) = -7*h**3 + 5*h**2 + 7*h + 5. Let x = -9 - -4. Let d be (-2)/(4/x)*-2. Let r(o) = -3*o**3 + 2*o**2 + 3*o + 2. Determine d*r(z) + 2*u(z).
z**3 - z
Let z(i) = 3*i**3 - 4*i - 4. Let p = 387 - 386. Let f(c) = -5*c**3 - 3*c - 3. Let d(x) = 3*x**3 + 2*x + 2. Let v(r) = 8*d(r) + 5*f(r). Give p*z(q) + 4*v(q).
-q**3
Let w(t) = -12*t**3 + 4*t + 4. Let r(o) = -o - 1. Determine 4*r(j) + w(j).
-12*j**3
Let d(f) = 13*f + 1. Let j(n) = 3*n - 2. Let r be ((-2)/4)/(3/(-42)). Let l(u) = -2*u + r - 2*u - 5*u. Let b(t) = -7*j(t) - 2*l(t). Give 9*b(s) + 2*d(s).
-s + 2
Let h(d) = 5*d**2 - 6*d + 4. Let z(a) = -5*a**2 + 4*a - 3. Let i(q) = -3*h(q) - 4*z(q). Let b = -3 + 1. Let g(w) = w**2 + w. What is b*g(j) + i(j)?
3*j**2
Let x(w) be the third derivative of w**6/60 - w**5/20 + w**4/6 + w**3/3 - 6*w**2 + 3. Let y(q) = -2*q**2 - 2 + 3*q - 2 + 6 + q**3. What is -3*x(z) + 4*y(z)?
-2*z**3 + z**2 + 2
Let w(t) = -t**2 - 2*t + 2. Let n = -6 + 15. Let p(a) = -7*a**2 - 7*a + 9. Let i(k) = -k**2 + k. Let d(u) = -2*i(u) + p(u). Determine n*w(h) - 2*d(h).
h**2
Let q(z) = 4*z**2 + z. Let i be q(1). Let h(d) = 3*d - 1. Let m(u) = -2 + 5*u - 5 + 5. Give i*m(b) - 8*h(b).
b - 2
Suppose 5*h + 3*i = -65, 0*h - 4*h +