t o(a) = 38*a**3 + 5*a**2 + 6*a + 4. Let v(z) = -38*z**3 - 6*z**2 - 7*z - 5. What is 5*o(t) + 4*v(t)?
38*t**3 + t**2 + 2*t
Let j(q) = -132*q**3 + 106*q**2 - 246*q + 14. Let v(u) = 10*u**3 - 8*u**2 + 19*u - 1. What is -3*j(t) - 40*v(t)?
-4*t**3 + 2*t**2 - 22*t - 2
Let d(r) = 161*r**2 + 49. Let t(z) = -10*z**2 - 3. Let f(m) = 137*m - 49. Let b be f(0). Determine b*t(o) - 3*d(o).
7*o**2
Let l = 11998 + -11872. Let p(b) = -3*b**3 + 21*b. Let t(h) = -h. Give l*t(y) + 6*p(y).
-18*y**3
Let d(t) be the second derivative of -21*t**4/4 + 228*t + 1. Suppose n - 1 = -p, -4*p - 2*n = -3*n + 6. Let z(v) = -v**2. Determine p*d(x) + 54*z(x).
9*x**2
Let n(c) = -2*c - 14. Let q(y) be the first derivative of -y - 752. What is n(x) - 12*q(x)?
-2*x - 2
Let g(z) = -z - 13. Let n(b) = -86*b - 9. Determine 2*g(i) - n(i).
84*i - 17
Let i(o) = -38*o**2 - 18*o + 12162. Let h(w) = -17*w**2 - 8*w + 6081. Determine -9*h(l) + 4*i(l).
l**2 - 6081
Let z(l) be the first derivative of -1 + l**3 - l + 2*l**2 + 3 + 0. Let i(m) = m**2 + m. Let g be 1*(-3 + -39 + 41). What is g*z(q) + 5*i(q)?
2*q**2 + q + 1
Let a(d) = -31*d - 33. Let r(n) = n. What is a(o) + 3*r(o)?
-28*o - 33
Let a(i) = 98*i - 142*i - i**2 + 44*i. Let o(u) = -7*u**2 + 11. Give -5*a(w) + o(w).
-2*w**2 + 11
Let x(y) = -y. Let i(b) = 3*b**2 + 6*b + 2. Let r(n) = -39*n + 4061. Let d be r(104). What is d*x(l) + i(l)?
3*l**2 + l + 2
Let z(d) = -117*d - 17. Let s(r) = -29*r - 4. Suppose -5*b - 48 = 2*h, h = 17*b - 21*b - 33. What is h*s(j) + 2*z(j)?
27*j + 2
Let x(c) = c**2 - c + 1. Let l(w) = 1107*w**3 - 5535*w**2 + 5535*w - 5535. Determine -l(d) - 5535*x(d).
-1107*d**3
Let b(i) = -356*i**3 + 8*i**2 + 16*i - 2. Let v(f) = 1068*f**3 - 26*f**2 - 52*f + 5. Give 13*b(p) + 4*v(p).
-356*p**3 - 6
Let b(t) = 41*t**2 - 5. Let k be (-2)/((36/(-45))/(-11 - -13)). Let w(f) = -1518*f**2 + 184. Give k*w(h) + 184*b(h).
-46*h**2
Let f(c) = -c**3 + 2*c**2 + 4*c - 2. Let l be ((-306)/(-408))/((-6)/16). Let u(p) = -p**3 + p**2 - 1. Give l*u(a) + f(a).
a**3 + 4*a
Let h(v) = 54*v**2 + 25*v - 1. Let f(l) = -50*l**2 - 31*l + 1. Give 2*f(k) + 3*h(k).
62*k**2 + 13*k - 1
Let p(q) = -3185*q**3 + 57*q**2 + 11*q. Let l(n) = 637*n**3 - 10*n**2 - 2*n. Give -11*l(r) - 2*p(r).
-637*r**3 - 4*r**2
Let c(i) be the first derivative of i**2/2 + i + 1. Let u(k) = -3346. Let s(f) = f + 670. Let x(q) = -5*s(q) - u(q). What is 3*c(o) + x(o)?
-2*o - 1
Let j(w) be the first derivative of -7*w**2 + 11*w - 400. Let z = -23 + 25. Let a(u) = -z*u - 4 - 2 + 5*u + 4. Give 11*a(l) + 2*j(l).
5*l
Suppose -101*r - 52*r - 62*r + 215 = 0. Let c(x) = -10*x + 2. Let o(d) = -1. Give r*o(n) + c(n).
-10*n + 1
Let i(s) = 13079*s**2 - 100*s - 10. Let w(h) = 13081*h**2 - 110*h - 11. Give 11*i(j) - 10*w(j).
13059*j**2
Let g(r) = -217*r**3 - 35*r**2 - 35*r - 35. Let o(n) be the third derivative of -3*n**6/20 - n**5/20 - n**4/8 - n**3/2 - 429*n**2 + 2. Give -3*g(a) + 35*o(a).
21*a**3
Suppose -2043*q = -2054*q - 66. Let a(c) = 4*c**3 + 7*c + 2. Let g(b) = b**3 + 2*b + 1. Determine q*a(j) + 21*g(j).
-3*j**3 + 9
Let h(x) = 582*x**3 - 41*x**2 + 11*x - 4. Let o(t) = -1163*t**3 + 96*t**2 - 27*t + 9. Calculate 7*h(r) + 3*o(r).
585*r**3 + r**2 - 4*r - 1
Let n(v) = -v + 1. Let j(q) = q - 8. Let t be -10 + (10 + -1 - -10*6/(-12)). Give t*n(w) - j(w).
5*w + 2
Let d(k) = -9*k - 422. Let r be d(-47). Let w(z) = 1. Let h(u) = -3*u - 2. Calculate r*h(n) + w(n).
-3*n - 1
Let d(u) = -5*u + 3*u + 5*u**2 - 78*u**3 + 51131 + 7*u - 51131 + 84*u**3. Let m(q) = 5*q**3 + 4*q**2 + 4*q. Suppose 12 + 0 = 3*n. What is n*d(f) - 5*m(f)?
-f**3
Let b(u) = 5*u - 7. Let k(g) = -26*g + 8. Let x(v) = -20*v + 7. Let n(y) = -3*k(y) + 4*x(y). Give 6*b(t) + 10*n(t).
10*t - 2
Let b(i) = i + 1. Let x be -1 + 12/3 + 2. Suppose -4*f = -x*u - 16 - 13, 23 = 3*f - 5*u. Suppose 0 = f*n + n + 7. Let c(q) = -4*q - 2. Give n*c(v) - 3*b(v).
v - 1
Let q(r) = -12*r - 15. Let b(w) = -35*w - 50. What is -6*b(f) + 21*q(f)?
-42*f - 15
Let t(v) = 2*v - 1. Let m(l) = -l. Let h(u) be the second derivative of 3*u**5/10 - u**4/6 + u**3/2 - u**2 + 64*u. Let s be h(1). Calculate s*m(g) + 2*t(g).
-g - 2
Let k(x) = -x. Let g(w) = -w**2 - w. Let a(v) = 3*v**2 + 2*v. Let i(c) = -4*a(c) - 7*g(c). Let n(h) = -272*h + 2993. Let p be n(11). Give p*i(d) - k(d).
-5*d**2
Let s(y) = 3*y**3 + 4*y**2 + 184*y - 4. Let d(i) = -6*i**3 - 9*i**2 - 345*i + 9. What is 4*d(l) + 9*s(l)?
3*l**3 + 276*l
Let y(f) = 8*f - 6 - 1 + 11*f**2 + 6*f - 1. Let v(j) = -4*j**2 - 5*j + 3. Suppose 24*g + 59 - 203 = 0. Calculate g*y(p) + 17*v(p).
-2*p**2 - p + 3
Let j(w) = 17*w**3 + 2. Let c(g) be the first derivative of -9*g**4/4 - g - 176. Determine 5*c(i) + 3*j(i).
6*i**3 + 1
Let m(b) be the second derivative of -13*b**4/12 - b**3/3 + 3*b**2/2 - 42*b. Let r(g) = 6*g**2 + g - 1. Calculate 2*m(p) + 5*r(p).
4*p**2 + p + 1
Let w(b) = -17*b**3 - 25*b**2 - 4*b + 9. Let h(g) = -g**2 + 6*g + 189. Let k be h(-11). Let s(j) = 4*j**3 + 6*j**2 + j - 2. Determine k*w(n) + 9*s(n).
2*n**3 + 4*n**2 + n
Let t(u) = -u**2 - 3*u + 1. Let d(c) = 9*c**2 + 45*c - 4. Calculate -d(a) - 4*t(a).
-5*a**2 - 33*a
Let v(w) = 24*w**2 - 8*w - 8. Let y = -10414 + 10413. Let a(j) = -j**2 + j + 1. Give y*v(t) - 8*a(t).
-16*t**2
Let k(m) = -4*m**2 + 2*m - 2. Let s(w) = 38*w - 567. Let z be s(15). Let r(t) = 5*t**2 - 3*t + 3. What is z*k(d) + 2*r(d)?
-2*d**2
Suppose -q + 4*k = -39 + 10, -11 = 3*q + 2*k. Let b(i) = -6*i + 1. Let j(x) = x. What is q*b(f) + 2*j(f)?
-4*f + 1
Let d(y) = -y + 1. Suppose 0 = -2*b - 2 - 0. Let l(w) = 2*w - 24. Let a(v) = 9*v - 140. Let g(r) = a(r) - 6*l(r). Determine b*d(q) + g(q).
-2*q + 3
Let m = -62380 - -62387. Let o(b) = -9*b**2 - 2*b + 2. Let n(g) = -1 + 7*g + 16*g**2 - 6 + 12*g**2. Calculate m*o(r) + 2*n(r).
-7*r**2
Let x(d) = 3*d**3 + 6*d + 2. Let h(j) be the third derivative of j**6/30 + j**4/4 + j**3/2 + j**2. Suppose 71*c + 119642 = 119855. Calculate c*x(v) - 2*h(v).
v**3 + 6*v
Let x(d) = 5*d**3 - 4*d**2 - 4*d + 2. Let f(s) = -4*s + 4 + 4*s - 2*s + 3*s. Let k be f(-1). Let c(p) = 4*p**3 - 3*p**2 - 3*p + 2. Calculate k*x(w) - 4*c(w).
-w**3 - 2
Let x(t) = -t**2 - t + 1. Let d be 0 - 4 - (10 - 6)*-2. Let q(r) = 5*r - d*r - 1 - 2*r**2 + r**2 + 1 + 3. What is -q(w) + 2*x(w)?
-w**2 - 3*w - 1
Let q(d) = 69 - 2203*d**2 - 9 + 58 + 363*d**2 + 43. Let w(c) = 23*c**2 - 2. Calculate 2*q(n) + 161*w(n).
23*n**2
Let k(d) = 2*d**3 + d**2 - 11*d. Let w(j) = -j**3 - j**2 + 7*j. Let l = -2510 + 2518. Determine l*w(i) + 5*k(i).
2*i**3 - 3*i**2 + i
Let h(o) = -o + 3. Let n be (190/(-10) + 12)*(4 - 5). Let p(a) = -3*a + 9. Suppose 8 - 2 = 3*x. Suppose -x*k = -4*k - 4. Give k*p(t) + n*h(t).
-t + 3
Let s(p) = -11*p**2 + 98*p - 6. Let v(r) = -12*r**2 + 109*r - 8. What is -4*s(b) + 3*v(b)?
8*b**2 - 65*b
Let t(p) = -159*p - 15. Let r(w) = -712*w - 61. Let b(j) = 2*r(j) - 9*t(j). Let g(f) be the second derivative of -2*f**3/3 - 7*f**2/2 - f. Give 3*b(s) + 5*g(s).
s + 4
Let s(f) = -10*f**3 + 48*f**2 + 3. Let p(h) = -31*h**3 + 139*h**2 + 8. Determine -4*p(j) + 11*s(j).
14*j**3 - 28*j**2 + 1
Let x(y) = -1859*y**2 - y + 6. Let t(g) = -1860*g**2 - g + 4. Calculate 3*t(s) - 2*x(s).
-1862*s**2 - s
Let c(m) = 3*m**3 - 9*m**2 - m - 18. Let t(i) = -6*i**3 + 16*i**2 + 4*i + 35. What is -5*c(f) - 3*t(f)?
3*f**3 - 3*f**2 - 7*f - 15
Suppose -35*k = 32*k - 66*k - 5. Let b(p) = -p. Let m(t) = 3*t**2 - 6*t + 10. Calculate k*b(j) - m(j).
-3*j**2 + j - 10
Let k(x) = -12*x**2 + 36*x - 9. Let u(z) = 4*z**2 - 13*z + 3. Calculate 4*k(s) + 11*u(s).
-4*s**2 + s - 3
Suppose -z = 2*k - 10, -6 + 28 = z - 4*k. Let l(p) = 74*p - 24. Let s(m) = 15*m - 5. Determine z*s(w) - 3*l(w).
-12*w + 2
Let t(p) = -4*p - 3. Let w(a) = 3*a**2 + 3*a + 5. Let y be w(-8). Let v(h) = -3*h - y - 10*h + 2*h + 164. What is 8*t(q) - 3*v(q)?
q + 3
Let a(u) = 7*u**3 + 68*u - 335. Let j(q) = q**3 + 22*q - 1. What is a(x) - 3*j(x)?
4*x**3 + 2*x - 332
Suppose -51 = -6*m - 11*m. Let d(a) = -5*a**m - 347*a**2 - 5*a**3 + 167*a**2 + 173*a**2. Let x(w) = -w**3 - w**2. Determine -2*d(l) + 14*x(l).
6*l**3
Let n(s) be the second derivative of s**4/12 + s**3/6 + s**2/2 + 114*s. Let x(u) = 2*u**2 + 4*u + 10. Calculate 4*n(z) - x(z).
2*z**2 - 6
Let b(y) = -11*y**3 - y**2 - 5*y + 3. Let s(m) = 6*m**3 + 3*m - 2. Let g(u) = b(u) + 2*s(u). Let h(v) = 42*v**3 - 4*v**2 + 4*v - 2. Giv