(x) = 4*x**3 - 2*x**2 - 2*x. What is d*n(k) - 2*y(k)?
-2*k**3 + 4*k
Let x(v) = 6245*v**2 - 14988. Let j(t) = t**2 - 2. What is 7494*j(f) - x(f)?
1249*f**2
Suppose 0 = -3*w - 510*p + 509*p - 32, -24 = w + 3*p. Let i(d) be the third derivative of 13*d**4/24 - d**2. Let c(x) = -3*x. Calculate w*c(u) - 2*i(u).
u
Let a(p) = 379*p + 4. Let o(j) = 1140*j + 10. Determine -8*a(x) + 3*o(x).
388*x - 2
Let h(i) = 8*i**2 + 4. Let p(y) be the third derivative of -7*y**5/60 - y**3/2 + 125*y**2. Let v(u) = -u**2 - 7*u + 4. Let t be v(-7). What is t*p(k) + 3*h(k)?
-4*k**2
Let m(r) = -13*r**2 - 7*r - 7. Suppose -231*h + 233*h = -14. Let t(q) = -6*q**2 - 3*q - 3. What is h*t(j) + 3*m(j)?
3*j**2
Let w(o) = -8*o - 5. Let u(m) be the third derivative of m**4/24 + m**3/6 - 5*m**2 - 9. Calculate 5*u(g) + w(g).
-3*g
Let r(b) = -821*b**2 + 16*b - 4. Let g(s) = -820*s**2 + 12*s - 3. What is -4*g(w) + 3*r(w)?
817*w**2
Let s(v) = 2*v - 1. Let m(q) = -4*q + 17*q + 0*q - 12*q. Calculate 7*m(i) - 2*s(i).
3*i + 2
Let r(s) = s**2 - s - 1. Let i(a) be the second derivative of -a**4/2 + 4*a**3/3 + 4*a**2 - 2*a + 75. Determine -i(p) - 8*r(p).
-2*p**2
Let x(v) = -3 - 11*v + v + 2 - 3. Let l(w) = -29*w - 3 - 24*w - 32*w + 78*w. Give 7*l(o) - 5*x(o).
o - 1
Suppose -144 + 134 = -2*c. Let q(l) = -8*l - 2. Let d(b) = 16*b + 5. Calculate c*q(s) + 2*d(s).
-8*s
Let m(k) = 4*k**2 - k + 12. Let v(z) = 9*z**2 - 2*z + 27. Give 13*m(b) - 6*v(b).
-2*b**2 - b - 6
Let x(c) = 3*c**3 - 14*c**2 - 4*c. Let f(w) = -5*w**3 + 14*w**2 + 6*w - 1. Give 2*f(i) + 3*x(i).
-i**3 - 14*i**2 - 2
Let j(x) = -18*x. Let k(i) = -i + 268 - 268. Calculate -2*j(c) + 30*k(c).
6*c
Let d(i) = -2*i**3 + i**2 - i + 9. Let c(s) = 4*s**3 - s**2 + 4*s - 20. What is -2*c(j) - 5*d(j)?
2*j**3 - 3*j**2 - 3*j - 5
Let u(x) = 2*x**2 - 4*x + 5. Let o be u(4). Let d = o - 14. Let a(k) = -k**3 - 4*k**2 + 2*k. Let t(m) = -2*m**3 - 7*m**2 + 3*m. Calculate d*a(h) - 4*t(h).
h**3 + 2*h
Let b(t) = t**2 + 2*t + 7. Let j(r) = -4*r**2 - 13*r - 14. Let n(c) = -2*c**2 - 7*c - 7. Let i(h) = 4*j(h) - 7*n(h). Determine -3*b(a) - 2*i(a).
a**2 - 7
Let n(y) = 8*y**3 + 2*y**2 - 7. Suppose -5*d + 31 = 4*o, 0 = -d - o + 3 + 3. Let k(r) = -7*r**3 - 2*r**2 + 6. Calculate d*k(h) + 6*n(h).
-h**3 - 2*h**2
Let p(s) = s + 2 + 9*s**2 + 4*s - 6*s**2 - 3*s - 4*s**2. Let x(k) = k**2 - 2*k - 2. Calculate 6*p(q) + 5*x(q).
-q**2 + 2*q + 2
Let p(k) = 5*k - 14. Let t(r) = -4*r + 13. Give -3*p(o) - 4*t(o).
o - 10
Let o(r) = 2*r + 1. Let n(h) = -1. Suppose -6*l + 2*l = 3*v - 22, -v = 5*l - 11. Suppose -v*u = 1 + 5. What is u*o(f) - 5*n(f)?
-2*f + 4
Let u(m) = 8*m + 3. Let b(x) = 23*x + 10. Calculate 2*b(v) - 7*u(v).
-10*v - 1
Let h(b) = 3*b**3 - 7*b**2 - 4 + 11 - 7*b + 0*b**2 + 5 - 7. Let a(t) = -t**3 + 3*t**2 + 3*t - 2. Calculate 7*a(n) + 3*h(n).
2*n**3 + 1
Suppose 25 = -6*z + z + 4*n, 3*z - 2*n + 15 = 0. Let i(h) = -7*h**2 + 6*h + 8. Let q(m) = m**2 - m - 1. Give z*q(s) - i(s).
2*s**2 - s - 3
Let i(z) = 5*z - 5. Suppose 16*y - 19*y + 59 = 4*a, 2*y + 4*a - 42 = 0. Let m(j) = -15*j + 14. Determine y*i(o) + 6*m(o).
-5*o - 1
Let c(f) = -6*f**2 + 5*f + 81. Let z(v) = -5*v**2 + 4*v + 80. Give 4*c(o) - 5*z(o).
o**2 - 76
Let g(r) = -14*r**3 + r**2 - 5*r + 3. Let p(v) = 13*v**3 + 4*v - 2. What is 3*g(k) + 4*p(k)?
10*k**3 + 3*k**2 + k + 1
Let u(h) = -26*h**3 + 8*h**2 - 22*h - 8. Let r(s) = 9*s**3 - 3*s**2 + 7*s + 3. Give 8*r(g) + 3*u(g).
-6*g**3 - 10*g
Let a(o) = 84*o**3 + 3*o**2 + 9*o - 24. Let g(r) = -42*r**3 - 2*r**2 - 5*r + 13. What is 6*a(w) + 11*g(w)?
42*w**3 - 4*w**2 - w - 1
Let b(v) = -4*v + 95 + 2*v**2 - 48 - v**3 - 42. Let n(r) = -4*r**3 + 7*r**2 - 13*r + 16. Determine -7*b(m) + 2*n(m).
-m**3 + 2*m - 3
Let t(r) = -r - 80. Let j(z) = z. Give 2*j(d) - t(d).
3*d + 80
Let y(p) = -48*p. Let f(w) = 335*w. What is 3*f(d) + 20*y(d)?
45*d
Suppose 28*t = 25*t - 18. Let y = -6 + 11. Let g(p) = -7*p**3 + 6*p - 4. Let m(v) = -6*v**3 + 5*v - 4. Give t*m(h) + y*g(h).
h**3 + 4
Let q(t) be the second derivative of 3*t**5/20 + 11*t**4/12 - 11*t**3/6 + t**2 + t - 8. Let c(f) = f**3 + 4*f**2 - 4*f + 1. Calculate -11*c(y) + 4*q(y).
y**3 - 3
Let p = 10 - 7. Let r(c) = c. Let b(d) = -d. Let x = -8 + 3. Let f(m) = 3*m. Let u(h) = x*f(h) - 12*b(h). Calculate p*u(q) + 12*r(q).
3*q
Let i(f) = f**3. Let q(v) = -8*v**3 + 5*v**2 - 5*v. Let t(k) = -6*i(k) - q(k). Let p(h) = h**3 - 2*h**2 + 2*h. Give 15*p(z) - 6*t(z).
3*z**3
Let m(n) be the third derivative of -n**4/24 + 5*n**2 - 8*n. Let t(a) = -a**3 + 3*a + 1. What is 4*m(c) + t(c)?
-c**3 - c + 1
Let k(z) = 10*z**3 - 10*z**2 + z + 9. Let h(g) be the second derivative of g**5/20 - g**4/12 + g**2/2 - 779*g. Determine -18*h(a) + 2*k(a).
2*a**3 - 2*a**2 + 2*a
Let f(l) be the second derivative of -8*l**3/3 - l**2/2 + 62*l. Let i(z) = 5*z. Determine -2*f(q) - 7*i(q).
-3*q + 2
Suppose 0 = -5*d + 3*d - 10. Let p(o) = -o - 7. Let j(v) = v + 4. Suppose 0*w - w = 3. Determine d*j(g) + w*p(g).
-2*g + 1
Let i(o) = -o**3 - 7*o**2 - 2*o - 4. Let n be i(-6). Let t(f) = -f**2 - 1. Let p(j) = -7*j**3 - 28*j**2 - 28. Determine n*t(k) + p(k).
-7*k**3
Suppose 0 = 18*w - 0 - 36. Let f(x) = -3*x**3 + 2*x. Let n(v) = -8*v**3 + 7*v. Give w*n(u) - 7*f(u).
5*u**3
Let w = 5 - 0. Let a(s) = -7*s**2 - 6*s + 3. Let k(n) = 9*n + 25 + n**2 - 26 - 8*n. What is w*k(t) + a(t)?
-2*t**2 - t - 2
Let m(z) = 2*z**2 - 4*z - 154. Let s(d) = 2*d**2 - 5*d - 156. What is 7*m(q) - 6*s(q)?
2*q**2 + 2*q - 142
Let b(t) = 2*t. Let v(n) = -3*n - 35. Calculate -4*b(w) - 2*v(w).
-2*w + 70
Let t(x) = 2*x**2 - 13*x. Let f(g) = -3*g**2 + 20*g. What is 5*f(d) + 7*t(d)?
-d**2 + 9*d
Let b(m) = 2*m**2 - 4*m - 8. Let n = -8 - -2. Let a(w) = -6*w**2 + 11*w + 23. Suppose 36*x + 3*q - 76 = 41*x, 2*q = -5*x - 91. What is n*a(c) + x*b(c)?
2*c**2 + 2*c - 2
Let p = 20 - 19. Let i(l) be the first derivative of -l**3/3 - l**2/2 - l + 59. Let j(m) = m**2 - m - 1. Determine p*j(t) - i(t).
2*t**2
Let y(j) be the second derivative of -1/2*j**3 + 1/10*j**5 + 5*j + 0*j**2 + 0 + 0*j**4. Let z = 24 + -16. Let a(u) = -5*u**3 + 8*u. Calculate z*y(h) + 3*a(h).
h**3
Let d(q) = q**2 - 11. Let w(o) = -3*o**2 + 23. Let l be (6 + (-3 - -1))/((-8)/(-4)). What is l*w(f) + 5*d(f)?
-f**2 - 9
Let v(h) = -3*h**3 - 5*h**2 - 2*h. Let g(i) = i - 1. Let a(j) = 3*g(j) + v(j). Let f(t) = t**3 + 3*t**2 - t + 2. Give 3*a(d) + 5*f(d).
-4*d**3 - 2*d + 1
Let n(j) = 5*j**2 - 8*j. Suppose 2*y + 2*y = 8. Let u be 3/(y/2 + -2). Let b(k) be the second derivative of -k**4/6 + k**3/2 - k. Determine u*n(r) - 8*b(r).
r**2
Let j(m) = -2*m**3 + 3*m**2 + 3. Let p(f) = f**3 - f**2 - 1. Let y = -8 + 14. Suppose -y*k - 3 = 3. Calculate k*j(h) - 3*p(h).
-h**3
Let h(y) = -5*y**2 - 2*y + 5. Let b(g) = -g**2 + g. Let u(i) = -2*b(i) - h(i). Let a be (2*3/12)/((-5)/50). Let q(v) = -3*v**2 + 2. Determine a*q(z) - 2*u(z).
z**2
Let b(u) = -5*u. Suppose 0*q - 63 = 3*q. Let w(f) = -51*f. Let m be (-36)/45*(0 + (-5)/2). Determine m*w(i) + q*b(i).
3*i
Let c(d) = -8*d**3 - 6*d**2 - 6*d - 9. Let v(r) = -r**3 - r - 20 - 19*r**2 + 10*r**2 + 8*r**2 + 19. Calculate -c(s) + 6*v(s).
2*s**3 + 3
Let q(u) be the second derivative of u**4/2 - 5*u**3/6 - 5*u**2/2 + 35*u - 3. Let d(y) = -7*y**2 + 6*y + 6. What is -5*d(f) - 6*q(f)?
-f**2
Let u(z) = -5499*z + 21. Let a(t) = 1100*t - 4. Calculate 11*a(k) + 2*u(k).
1102*k - 2
Let p(g) = 4*g**2 + 31*g - 71. Let k(f) = -2*f**2 - 10*f + 24. Let r(s) = 11*k(s) + 4*p(s). Let w(y) = -2*y**2 + 5*y - 7. Give -6*r(o) + 17*w(o).
2*o**2 + o + 1
Let f(w) = -8*w**2. Let a(i) = -i**3 + 22*i**2 - 20*i - 26. Let o be (-6 + 7)/((-3)/(-63)). Let z be a(o). Let l(m) = 7*m**2. What is z*f(k) - 6*l(k)?
-2*k**2
Let d(u) = -u - 1. Let a(o) = -o**2 + 2 + 0*o**2 - 7*o + 8*o. Suppose 5*b - b = 12. Give b*d(j) + 2*a(j).
-2*j**2 - j + 1
Let q(g) = 7*g**2 - 5*g + 11. Let y(b) be the third derivative of -b**5/6 + 7*b**4/24 - 8*b**3/3 - 23*b**2 + 4*b. Determine 7*q(j) + 5*y(j).
-j**2 - 3
Let o(k) = k**2 + 11*k - 12. Let g be o(-11). Let q be -1 - (1 - 3)*g/8. Let w = -12 + 6. Let x(t) = 2*t - 3. Let j(h) = -h + 2. Determine q*x(r) + w*j(r).
-2*r
Let n(c) = c - 2. Let g be n(7). Let t(h) be the first derivative of -2*h**2 + 2 - 10 + g*h + 1. Let z(v) = -2*v + 2. Determine -3*t(s) + 7*z(s).
-2*s - 1
Let r(z) = -3*z**3 + 7*z**2 - 17*z + 2. Let s(h) be the first derivative of h*