j(b) = b**3 - 24*b**2 + 36*b - 6. Let u(g) = -g**3 + 20*g**2 - 37*g + 5. What is 5*j(y) + 6*u(y)?
-y**3 - 42*y
Let r(i) = 31. Let d(k) = k + 2. Give 3*d(y) + r(y).
3*y + 37
Let n(g) = 2*g**3 - 8 + 9*g**2 + 17*g**2 - 29*g**2. Let w(c) = c**3 - 2*c**2 - 5. Give -5*n(m) + 8*w(m).
-2*m**3 - m**2
Let p(u) = -9*u**2 - 2*u - 2. Let m(k) = -4*k**2 - k - 1. Suppose 62*o - 221 = 45*o. Calculate o*m(h) - 6*p(h).
2*h**2 - h - 1
Let t(c) = 4*c**3 + 2*c**2 - c - 12. Let d(s) = -2*s**3 - s**2 + 6. Determine 5*d(q) + 2*t(q).
-2*q**3 - q**2 - 2*q + 6
Let b(z) be the first derivative of z**4/4 - 7*z**2/2 + 4*z - 1. Let p(o) = -o + 1. Let a be (-56)/(-196)*(-7)/2. What is a*b(i) + 5*p(i)?
-i**3 + 2*i + 1
Let n(z) = 3*z**3 + 2*z**2 - 6*z - 8. Let c be (-12)/(-8) + (-2)/4. Let y(v) = -1 + 0*v + 0 - v + 381*v**3 - 380*v**3. Determine c*n(d) - 6*y(d).
-3*d**3 + 2*d**2 - 2
Let f(t) = 4. Let c(g) = g - 20. Let i(p) = -4*c(p) - 20*f(p). Let j = 44 - 43. Let x(s) = -s + 1 - j. Determine -3*i(q) + 14*x(q).
-2*q
Let q(f) = 228*f + 38. Let u(k) = 152*k + 24. Determine -5*q(r) + 8*u(r).
76*r + 2
Let u(b) = -71*b**3 + 10*b - 10. Let o(s) = -14*s**3 + 2*s - 2. Give 11*o(n) - 2*u(n).
-12*n**3 + 2*n - 2
Let m(h) = h + 11. Let s(o) = -4*o - 50. Let t(d) = 9*m(d) + 2*s(d). Let f(b) = -4*b + 4. Suppose -3*u = -y + 1, 2*y - 4 = -3*u - 47. Determine y*t(n) - 3*f(n).
-2*n + 2
Let f(t) = t**3 - t**2 + 1. Let w(v) = 13*v**3 - v**2 - 1. What is -f(g) + w(g)?
12*g**3 - 2
Let y(p) = 7*p**2 - 11*p. Let x(g) = -15*g**2 + 22*g - 1. Calculate 3*x(u) + 7*y(u).
4*u**2 - 11*u - 3
Let i(f) be the third derivative of 0 - 1/6*f**4 + 1/6*f**3 + 0*f + 7*f**2 + 7/60*f**5. Let h(b) = 4*b**2 - 2*b. What is -5*h(y) + 3*i(y)?
y**2 - 2*y + 3
Let b(w) = 6*w**2 - 1. Let o(x) = 7*x**2 - 1. Let l be 24/(-20)*(-10)/3. Suppose -10*r = -l*r + 30. Give r*o(p) + 6*b(p).
p**2 - 1
Let h = -590 + 585. Let d(l) = 6*l - 3. Let i(r) = 4*r - 2. What is h*d(z) + 8*i(z)?
2*z - 1
Suppose 2*c + 15 - 4 = b, -4*b + 32 = -5*c. Let j(v) = 55*v**3 + 57*v**b + 2*v**2 - 113*v**3. Let d(s) = -s**2. What is 3*d(p) + j(p)?
-p**3 - p**2
Let r(n) = 3*n**3 - 5*n**2 + 386*n. Let k(o) = -4*o**3 + 7*o**2 - 578*o. Give -5*k(p) - 7*r(p).
-p**3 + 188*p
Let t(g) = -135*g + 35. Let z(f) be the first derivative of -15*f**2/2 + 4*f - 883. What is 4*t(k) - 35*z(k)?
-15*k
Let k(m) = 33*m + 4*m**3 - 39*m + 6*m**2 + 3*m**3. Let y(r) = 20*r**3 + 17*r**2 - 17*r. Calculate -17*k(c) + 6*y(c).
c**3
Let k(l) = 3*l. Let s(w) = -172*w - 1. Determine -6*k(q) - s(q).
154*q + 1
Let l(a) = a**3 - 3*a**2 + 2*a - 1. Let j = -5 + 1. Let f(u) be the second derivative of -u**5/20 + u**4/3 - u**3/2 + u**2 - 123*u. What is j*l(d) - 3*f(d)?
-d**3 + d - 2
Let x(r) = 2*r**2 + 4*r + 1. Let o(i) = -81 - 3*i**2 - 80 - 23*i - 8*i**2 + 155. Give -6*o(d) - 34*x(d).
-2*d**2 + 2*d + 2
Let a(p) = -1211*p. Let f(g) = -403*g. Determine -4*a(n) + 11*f(n).
411*n
Let t(q) = -2*q + 3. Let y be t(4). Let r be -1*(y/3 - (-14)/21). Let j(x) = -x**2 + x - 1. Let m(d) = -6*d**2 + 7*d - 4. Give r*m(s) - 5*j(s).
-s**2 + 2*s + 1
Let q(g) = 7*g**3 - 7*g**2. Let b be 1/(1 - 9/12). Suppose -5*r = 25, 2*y + 3*y + b*r = -25. Let c(x) = x**3 - x**2. Give y*q(d) + 6*c(d).
-d**3 + d**2
Let k(q) = 4*q**2 - 7. Let x(s) = -5*s**2 + 21*s. Let w(y) = 3*y**2 - 12*y. Let j(c) = 7*w(c) + 4*x(c). Calculate -2*j(f) + k(f).
2*f**2 - 7
Let s(u) = 5*u - 9. Let i(t) be the third derivative of -3*t**4/8 + 3*t**3 + 81*t**2 - 2*t. Determine -4*i(d) - 7*s(d).
d - 9
Let x(m) = -33*m + 99. Let v(i) = -7*i + 20. Give -24*v(u) + 5*x(u).
3*u + 15
Let q(w) = 10*w**2 - 5*w. Let r(u) = -u. Let a = -893 + 892. Determine a*q(t) + 5*r(t).
-10*t**2
Let r(v) = 3*v**3 - 5*v + 5. Let s(q) = -3*q**3 + 4*q - 4. Let n be (9 - 0 - -1)/(-2). Give n*s(j) - 4*r(j).
3*j**3
Let n(t) = -5*t**3 - 6*t**2 - 10*t + 6. Let l(h) = 14*h**3 + 17*h**2 + 31*h - 18. Determine -6*l(j) - 17*n(j).
j**3 - 16*j + 6
Let g(z) = -8*z**2 + 14*z + 3. Suppose 3*k = 2*k + 11. Let b = -31 + 33. Let a(w) = 0*w**2 - 9*w**b + 5*w**2 - 1 + 7*w**2 - 5*w. What is k*a(c) + 4*g(c)?
c**2 + c + 1
Let y = 20 + -13. Let i(z) = 5*z**2 + 5*z**3 + y*z**3 + 3 - 2*z - 11*z**3. Let j(b) = -4*b**3 - 16*b**2 + 6*b - 10. Give -10*i(g) - 3*j(g).
2*g**3 - 2*g**2 + 2*g
Let p(j) = j**2 + j + 1. Let s(h) = 7*h**2 + 9*h**2 - 18*h**2 + 14*h**2 + 18*h + 18. Give 36*p(r) - 2*s(r).
12*r**2
Let s(o) = 19*o**2 - 10*o - 8. Let b(i) = -35*i**2 + 19*i + 15. Let k(a) = -4*b(a) - 7*s(a). Let z(h) = -8*h**2 + 7*h + 3. Give 7*k(p) + 6*z(p).
p**2 - 10
Let v(h) = 3*h + 1. Let y(g) = -82*g - 4. What is -6*v(n) - y(n)?
64*n - 2
Suppose 84*g - 147 = -63. Let w be -2*1 + 2 - 1. Let t(p) = 2*p**3 - 3*p - 1. Let y(d) = -d**3 - d - 1. What is g*t(k) + w*y(k)?
3*k**3 - 2*k
Suppose 8 = -0*k + 4*k. Let b(r) = -1. Let u = 18 - 0. Let o(a) = -a**2 + a + 10. Give k*o(c) + u*b(c).
-2*c**2 + 2*c + 2
Let h(i) = 4*i**3 - 5*i + 3. Let q(o) = 6*o**3 - 8*o + 5. Suppose 24*r - 165 = -9*r. What is r*q(m) - 8*h(m)?
-2*m**3 + 1
Let w be (-189)/(-12) - 2/(-8)*1. Let k(n) = 7*n**3 + 5*n**2 - 5*n - 5. Let s(u) = -22*u**3 - 16*u**2 + 16*u + 16. Calculate w*k(v) + 5*s(v).
2*v**3
Let k(y) = 2*y + 2. Let s = -6 - -6. Suppose -i = -3*i + 8. Let b(g) = -9 + i + s*g + 4 - g. What is -14*b(h) - 6*k(h)?
2*h + 2
Let f(w) = 5*w**2 + 5. Let h(z) = -37*z - 255. Let t be h(-7). Let v(k) = 11*k**2 - k + 11. Give t*v(d) - 9*f(d).
-d**2 - 4*d - 1
Let f(i) be the first derivative of 5/3*i**3 + 0*i + 17 + i**2. Let b = -2 + 0. Let x(k) = 66*k**2 + 27*k. Determine b*x(d) + 27*f(d).
3*d**2
Let n be (1/(-8)*-4)/((-3)/(-6)). Let y(q) = 5*q**3 + q**3 + 0 - 5*q**3 + n - q. Let l = -4 + 2. Let m(b) = 2*b - 2. Give l*y(f) - m(f).
-2*f**3
Let s(v) be the third derivative of -v**6/60 + v**5/30 + v**4/6 + 13*v**2. Let m(w) = 5*w - 6*w**3 + 3*w**2 - 1 + 0*w**3 + 4*w**3. Calculate 2*m(y) - 3*s(y).
2*y**3 - 2*y - 2
Let u(j) = 4*j**2 + 3*j. Let c(d) = 3*d**2 + 2*d. Suppose 5*s - 9*s + 92 = 0. Suppose -z = -2*x - 2 - 3, -5*x = z + s. What is z*c(o) + 2*u(o)?
-o**2
Let y(s) = 4*s**2 + 2*s - 2. Let j = -230 - -238. Let u(c) = -c**2 - c + 1. What is j*u(q) + 4*y(q)?
8*q**2
Let d(k) = -10*k. Let l(v) = -v + 3. Let z be l(-3). Let j(p) = -z*p - 10*p + 13*p - 8*p. Give -7*d(u) + 6*j(u).
4*u
Let b(o) = 7*o**2 + o + 199. Let y(j) = 3*j**2 + 99. Determine -2*b(l) + 5*y(l).
l**2 - 2*l + 97
Let c = -3 - -2. Let v(l) = 8*l**2 + 5*l - 5. Let t(n) be the second derivative of -19*n + 0 + 1/12*n**4 - 1/2*n**2 + 1/6*n**3. What is c*v(w) + 5*t(w)?
-3*w**2
Let k(w) = -w - 1. Let y(g) = -12*g - 8. Let n(i) = -2*i - 1. Let t(d) = -3*n(d) + y(d). Let p = -3 - -5. What is p*t(q) - 11*k(q)?
-q + 1
Let m(k) = -k**2 - 2*k - 4. Let p(x) be the second derivative of -x**4/3 - 5*x**3/6 - 11*x**2/2 - 14*x. What is -8*m(z) + 3*p(z)?
-4*z**2 + z - 1
Suppose 12*f + 20 = 92. Let v(n) = 2*n + 4. Let y(l) = 2*l + 3. Let g(j) = -j**3 + 4*j**2 - 2*j + 3. Let w be g(4). Determine f*y(p) + w*v(p).
2*p - 2
Let n(h) = 12*h**2 + 13. Let k(q) = 24*q**2 + 28. Determine -6*k(a) + 13*n(a).
12*a**2 + 1
Let k(d) = 1. Let i = 155 + -115. Let v(l) = -2 - 3 + 2*l**2 + i*l - 40*l. Calculate 2*k(b) + v(b).
2*b**2 - 3
Let t(h) be the second derivative of -h**4/2 + 2*h**3/3 - 2*h**2 + 27*h - 3. Let m(d) = -6*d**2 + 3*d - 3. What is 4*m(a) - 3*t(a)?
-6*a**2
Let q be 0 + 2 - (-2)/(-2). Let z(n) = -2 + 6 - 1 + q. Let w(p) = 7*p - 1. Let a(o) = -15*o + 3. Let i(y) = -6*a(y) - 13*w(y). Calculate -4*i(t) - 5*z(t).
4*t
Let y(x) = 4*x + 5. Let n(l) be the first derivative of 3*l**2/2 + 4*l + 12. Let b(u) = -u + 5. Let g be b(0). Suppose g*o + 11 = 36. What is o*y(d) - 6*n(d)?
2*d + 1
Let u(r) = 21*r**3 - 42*r**2 - 15. Let v(f) = -4*f**3 + 8*f**2 + 3. Let s(j) = -2*u(j) - 11*v(j). Let a(q) = 6*q**3 - 11*q**2 - 8. Calculate 4*a(w) - 11*s(w).
2*w**3 + 1
Let a(u) = 5635*u + 46. Let c(n) = 867*n + 7. Calculate -7*a(m) + 46*c(m).
437*m
Let g(d) = -d**2 + 3*d - 3. Let f(w) = 2*w**2 - 8*w + 7. Give 2*f(r) + 5*g(r).
-r**2 - r - 1
Let g(i) = 7*i**3 - 3*i**2 - 3. Let b be 4/3 - (-404)/12. Let y(d) = -85*d**3 + 35*d**2 + 35. Determine b*g(w) + 3*y(w).
-10*w**3
Let j(f) = 4*f**2 + 2*f - 3. Let u(o) = -17*o**2 - 9*o + 11. Suppose -9*y + 14*y - 26 = -4*r, -r = -4. What is y*u(q) + 9*j(q)?
2*q**2 - 5
Let d(o) = o + 42. Let r(f) = -2*f - 91. Let h