 6. What is 11*c(j) + 4*z(j)?
3*j**2 + 5
Let t(d) be the second derivative of -d**5/4 + d**4/4 + 2*d**2 + 488*d. Let q(b) = -b**3 + b**2 + 1. Give 6*q(i) - 2*t(i).
4*i**3 - 2
Let u(a) = -11*a**2 - 5*a - 7. Let f(w) = -6*w**2 - 2*w + 9. Let z(t) = 12*t**2 + 4*t - 22. Let x(p) = 7*f(p) + 3*z(p). What is -3*u(i) + 7*x(i)?
-9*i**2 + i
Let k(g) = 18*g**2 + 7*g + 26. Let u(q) = -5*q**2 - q + 1. What is -k(o) - 4*u(o)?
2*o**2 - 3*o - 30
Let q be -4 - (27/(-12))/(-3)*-4. Let x(r) = -4*r**2 + 3*r + 6. Let j(f) = -f**2 + f - 1. Calculate q*x(a) + 3*j(a).
a**2 - 9
Let l(t) = -8*t**2 + 23*t + 13. Let v(d) = -15*d**2 + 47*d + 25. Give -11*l(w) + 6*v(w).
-2*w**2 + 29*w + 7
Let s(k) = 6*k - 1. Let p(g) = -19*g + 2. Let n = 580 - 563. Suppose -4*o - 5 + n = 0. What is o*p(y) + 8*s(y)?
-9*y - 2
Let y(m) = -m**2 + m - 1. Let x(c) = c**2 - c + 272. Calculate x(w) - y(w).
2*w**2 - 2*w + 273
Let q(n) = -3*n**2 + 10*n - 3. Let d(o) = -23*o + 2 - 8 + 12 + 14*o + 3*o**2 - 4. Determine 3*d(f) + 2*q(f).
3*f**2 - 7*f
Let h(d) = d**3 - 6*d**2 - 49*d + 14. Let b(v) = -v**3 + 7*v - 2. Let c(o) = -6*b(o) - h(o). Let s(p) = 4*p**3 + 5*p**2 + 6*p - 2. What is -3*c(t) + 4*s(t)?
t**3 + 2*t**2 + 3*t - 2
Let q(s) = -15*s + 12. Let n(p) be the first derivative of 7*p**2/2 - 6*p + 1. Suppose d + w = -1, 7*w - 11*w - 58 = -5*d. What is d*q(c) + 13*n(c)?
c - 6
Let b(h) = -9*h**3 + 40*h**2 - 5. Suppose 3*x + 41 = 35. Let g(i) = 4*i**3 - 20*i**2 + 2. Determine x*b(u) - 5*g(u).
-2*u**3 + 20*u**2
Let p(q) = 21*q**3 - q + 55. Let g(r) = -43*r**3 + r**2 + 2*r - 127. Give 2*g(t) + 5*p(t).
19*t**3 + 2*t**2 - t + 21
Let t(w) = 4*w**3 + 1371*w**2 + 3*w + 5. Let v(s) = -6*s**3 - 2056*s**2 - 4*s - 7. What is 7*t(i) + 5*v(i)?
-2*i**3 - 683*i**2 + i
Let q(z) = z. Let p = 53 - 28. Suppose w - v + 5*v + p = 0, 0 = -5*w + 2*v - 147. Let g = w + 27. Let y(c) = -2*c**3 + 2*c. Calculate g*q(a) + y(a).
-2*a**3
Suppose 4*x = -35 - 1. Let j(a) = -127*a**2 - 15*a**3 + 3468*a + 118*a**2 - 3468*a - 9. Let n(h) = -8*h**3 - 5*h**2 - 5. Calculate x*n(r) + 5*j(r).
-3*r**3
Let r(o) = 5*o**3 - 6*o**2 + 6*o. Let t(j) = 9*j**3 - 11*j**2 + 11*j. Let p = -511 - -348. Let v = p + 169. Calculate v*t(l) - 11*r(l).
-l**3
Let p(q) = q. Suppose -3*m - 2*j + 62 - 150 = 0, 3*j - 12 = 0. Let d = 33 + m. Let f(o) = -2*o**2 - 2*o. Give d*f(w) + 2*p(w).
-2*w**2
Let l(w) = -7*w - 2. Let z = 13 - 0. Suppose 132 = z*m + 15. Let d be (-2)/((-5)/(-2) + -2). Let c(v) = -3*v - 1. Determine d*l(q) + m*c(q).
q - 1
Let h(w) = 15*w + 6. Let f(r) be the third derivative of -r**4/3 - r**3/2 + 904*r**2. Give -5*f(v) - 3*h(v).
-5*v - 3
Let b(m) = -m + 1. Let g(z) = 10*z - 1 - 9*z + 3 - 3. Let t(k) = k**2 + 33*k + 34. Let d be t(-32). What is d*b(p) + 4*g(p)?
2*p - 2
Let x = 823 + -818. Let j(m) = -4*m**2 - 9*m - 3. Let n(q) = 3*q**2 + 6*q + 2. Determine x*j(r) + 7*n(r).
r**2 - 3*r - 1
Let a(t) = 2*t**2 - t + 3. Let u(o) = -21*o**2 - 15*o + 19. Let x(m) = -17*m**2 - 12*m + 15. Let g(h) = -4*u(h) + 5*x(h). What is -2*a(l) - 5*g(l)?
l**2 + 2*l - 1
Let t(u) = -u. Let g(n) be the second derivative of 1/2*n**2 - 2 + 10*n - 1/6*n**3 + 1/6*n**4. Let s be (-14)/18 - (-2)/(-9). Give s*t(j) + g(j).
2*j**2 + 1
Let b(a) = -1613*a - 4. Let r(l) = 6*l - 1. Calculate b(g) - 6*r(g).
-1649*g + 2
Let n(a) = a**3 - a. Let v(f) be the second derivative of f**5/10 - f**3 + 5*f**2/2 - 4236*f. Determine 6*n(i) - v(i).
4*i**3 - 5
Let d(x) = 3*x**3 - x**2 + 5*x + 44. Let i(u) = -8*u**3 + 3*u**2 - 14*u - 133. Determine -17*d(h) - 6*i(h).
-3*h**3 - h**2 - h + 50
Let m(p) = p - 13. Let t(q) = -2*q + 13. Let r(i) = -4*m(i) - 3*t(i). Let g(d) = d + 7. Let o(s) = 11*s - 305. Let z be o(28). Determine z*r(a) - 5*g(a).
a + 4
Suppose -27 = 5*i + 13. Let s = -28 - -44. Suppose 0 = 4*z - 4 - s. Let b(j) = 7*j**2 + 6*j - 7. Let o(m) = 11*m**2 + 9*m - 11. Give i*b(x) + z*o(x).
-x**2 - 3*x + 1
Let s(g) = 9*g**2 + g - 2. Let f(r) = 1. Suppose -39*x - 39*x - 65*x + 143 = 0. Calculate x*s(t) + 2*f(t).
9*t**2 + t
Let u(f) = f**3 + f**2 + 1. Let h(g) = -5*g**3 - 8*g**2 + 35*g - 8. Determine h(p) + 8*u(p).
3*p**3 + 35*p
Let g(h) = -7. Let y(j) = -23*j - 8. Let u(n) = 3*n + 1. Let o(k) = -15*u(k) - 2*y(k). Determine g(l) + 5*o(l).
5*l - 2
Let c(o) = -2*o + 6. Let p(y) = 60*y + 54*y + 50*y + 49*y + 7 - 216*y. Let q be 3 + 3/(-3) - 6. Let g = -8 - -13. Calculate g*c(m) + q*p(m).
2*m + 2
Let w(v) = -2*v - 4. Let g = -8 - -25. Suppose -14*q = -g*q - 12. Let y(p) = -p - 7. Let t be y(q). Let i(b) = 5*b + 9. Calculate t*i(d) - 7*w(d).
-d + 1
Let l = 277 + -263. Suppose -2*k - 14 = 2*m, m + m + k = -l. Let a = 4 + 1. Let f(d) = 4*d**3 - 1. Let t(s) = 6*s**3 - 1. Calculate a*t(n) + m*f(n).
2*n**3 + 2
Let i(q) = 713*q**2 + 92*q + 92. Let r(b) = -19*b**2 + 7*b - 5. Let d(p) = 17*p**2 - 12*p + 6. Let h(s) = -2*d(s) - 3*r(s). Determine -92*h(g) + 3*i(g).
23*g**2
Let m(f) = -7*f**2 + 13*f. Suppose -4*g + 49 = -5*z, -2*g - 5*z - 8 = -z. Let s(p) = 371*p + p**2 + 364*p - 1107*p + 370*p. What is g*m(x) + 39*s(x)?
-3*x**2
Let w(h) = -2*h - 4. Suppose 7*x = 8*x + 6*p + 31, 3*x = -4*p - 9. Let d(o) = 2*o + 5. Calculate x*d(m) + 6*w(m).
-2*m + 1
Let w(z) be the third derivative of -z**5/60 - z**4/24 - z**3/6 + 14*z**2 + 6. Let x(c) = 30*c**2 + 4*c + 4. What is -4*w(g) - x(g)?
-26*g**2
Suppose 30*q - 28*q = 10. Let k(f) = -2*f**2 - 4*f + 4. Let j be k(1). Let a(i) = 7*i + 5. Let p(c) = 4*c + 2. Give j*a(r) + q*p(r).
6*r
Let w = -6128 - -6132. Let d(p) = -10*p**2 + 13*p + 9. Let v(k) = 5*k**2 - 6*k - 4. What is w*d(z) + 9*v(z)?
5*z**2 - 2*z
Let h(n) = n**3 + 2*n**2 + 8*n - 2. Let b = -1539 + 1537. Let i(w) = 15*w**3 + 33*w**2 + 129*w - 33. Give b*i(a) + 33*h(a).
3*a**3 + 6*a
Let v(c) = 2*c**2 - 2*c + 2. Let t(d) = -34*d**2 - 8*d + 8. Calculate t(b) - 3*v(b).
-40*b**2 - 2*b + 2
Let u(h) = -h**3 + 4164*h**2 - 15*h. Let a(d) = d**3 - d**2 + 5*d. What is -3*a(g) - u(g)?
-2*g**3 - 4161*g**2
Let a(b) = b**2 + 1 - 9 - 4 - 362937*b + 362934*b. Let i(v) = 2*v**2 - 5*v - 23. Calculate 10*a(c) - 6*i(c).
-2*c**2 + 18
Let w be (-6)/(-33) - (-268)/(-22). Suppose -3*g - 3*z = -g + 2, 0 = 4*g + z + 4. Let m(d) = 18*d. Let f(j) = -j. Give g*m(v) + w*f(v).
-6*v
Let s(n) = 3*n**3 - 4*n**2 - 5*n. Let j(h) be the third derivative of -h**6/120 + h**5/30 + h**4/8 + 20*h**2 - 2*h + 2. What is -5*j(t) - 3*s(t)?
-4*t**3 + 2*t**2
Let f(k) = -1. Let u = 12 + -2. Suppose 5*w + 16 + 24 = 0. Let a(r) = -2*r - 40. Let s(h) = -h - 14. Let y(p) = w*s(p) + 3*a(p). Determine u*f(m) - y(m).
-2*m - 2
Let k(f) be the first derivative of 34*f**3/3 - 11*f**2/2 + 1089. Let i(q) = -17*q**2 + 6*q. Calculate -11*i(y) - 6*k(y).
-17*y**2
Let f(y) = -4*y**2 - 2*y - 2. Let l(d) = d**3 - 19*d**2 - 11*d - 11. Suppose 5*v + 2*p = 51, -9*v - 175 = 2*p - 270. Determine v*f(s) - 2*l(s).
-2*s**3 - 6*s**2
Let p(r) = -r**2 - 77*r - 2. Let i(t) = t**2 + 91*t + 3. Give 6*i(z) + 7*p(z).
-z**2 + 7*z + 4
Let o(i) = -14274*i**3 + 45*i**2 - 360*i + 45. Let m(f) = -f**3 - f**2 + 8*f - 1. Give -45*m(b) - o(b).
14319*b**3
Let b(l) = -4*l**2 + 2*l + 1. Let z(i) = 5*i**2 - 2*i - 1. Let a = 41 - 47. Suppose -11*r - 149 + 72 = 0. Determine a*z(f) + r*b(f).
-2*f**2 - 2*f - 1
Suppose 4*c = -2*t + 706, -4*c + 4*t - 59 = -759. Let f be (-1540)/c - 2/8. Let m(j) = 5*j - 9. Let z(k) = -3*k + 4. Determine f*z(h) - 4*m(h).
7*h
Suppose 0 = 2*s - 4*z - 36, -4*z = 16. Suppose 5*o = 20 + s. Let n(h) = 2*h**2 + 8*h + 5. Let x(a) = 4 - 9*a + 2*a**2 - 4*a + 20*a. Determine o*x(p) - 5*n(p).
2*p**2 + 2*p - 1
Let g(k) = 4*k**2 - 5*k + 8. Let w(q) be the third derivative of q**4/24 - q**3/6 + 103*q**2. Determine g(l) + 5*w(l).
4*l**2 + 3
Let m = -349 + 370. Let d(q) = 16*q - q - 6 - m*q - 2*q**2. Let o(b) = -2*b**2 - 5*b - 5. Let l = 22 + -16. Determine l*o(h) - 5*d(h).
-2*h**2
Let d(a) = -4*a**2 + 2*a - 1. Let r(b) = -6*b**2 + b - 1. Let i(p) = -21*p**2 + 7*p - 4. Let c(q) = -i(q) + 2*r(q). Give 4*c(t) + 10*d(t).
-4*t**2 - 2
Let q(p) = -6*p**3 + 12*p**2 + 23*p - 6. Let o(v) = v**2 + 4*v - 1. Give -5*o(s) + q(s).
-6*s**3 + 7*s**2 + 3*s - 1
Let c(g) be the first derivative of -g**2/2 - 4*g - 2636. Let o(k) = -k**2 - k - 1. Give c(t) - 4*o(t).
4*t**2 + 3*t
Let k(f) = 9*f - 11. Let h(c) = -172 + 61 + 64 + 52 - 4*c. What is 14*h(g) + 6*k(g)?
-2*g + 4
Let v(t) = -35*t**2 + 34*t + 8. Let u(f) = 8*f**2 -