 Determine 11*a(q) - 4*p(q).
1747*q
Suppose -4*n + 143 + 97 = 0. Suppose -4*m = 8*m - n. Let i(x) be the second derivative of -x**3 + 3*x**2/2 - x. Let a(r) = -7*r + 4. What is m*a(u) - 6*i(u)?
u + 2
Let t(m) = -4*m**2 - 15*m - 9. Let p(l) = -4*l**2 - 15*l - 11. What is -6*p(v) + 7*t(v)?
-4*v**2 - 15*v + 3
Let b(r) = -4 + 8*r - 4*r + r**2 - 5 + 5. Let q(l) be the first derivative of l**3 + 9*l**2/2 - 9*l + 6. What is 7*b(h) - 3*q(h)?
-2*h**2 + h - 1
Let f(c) = -2*c**2 + 7*c - 9. Let d(y) = 19*y + 18*y - 42*y + 11*y - 8 - 2*y**2. What is -5*d(u) + 4*f(u)?
2*u**2 - 2*u + 4
Let g = 100 + -102. Let q(x) = -8*x + 5. Let k(m) = -3*m + 2. Let y(r) = 11*k(r) - 4*q(r). Let f(w) = w. What is g*f(t) - y(t)?
-t - 2
Let s(z) = 117*z**3 - 2*z**2 + z. Let q(l) = -350*l**3 + 6*l**2 - 3*l. Give -6*q(j) - 17*s(j).
111*j**3 - 2*j**2 + j
Let f = 16 - 10. Let k(p) = 7*p - 1. Let d = -6364 - -6369. Let t(m) = 1 - m - 4*m - m. What is d*k(y) + f*t(y)?
-y + 1
Let z(u) be the second derivative of 0 + 1/3*u**3 + 27*u - 1/3*u**4 - u**2. Let w(x) = -3*x**2 + 3*x - 3. Calculate 2*w(h) - 3*z(h).
6*h**2
Let s(p) = 3*p + 6. Let i(g) = 2*g**2 + 2*g. Let a be i(-2). Let h(w) be the third derivative of w**4/24 + w**3/3 + 2800*w**2. Determine a*s(t) - 11*h(t).
t + 2
Suppose -2*k - 9 = -5*k, 5*k = -3*u - 63. Let h = u - -32. Let z(f) = -4*f**3 - 4*f**2 + 3. Let x(d) = 3*d**3 + 3*d**2 - 2. Give h*x(y) + 4*z(y).
2*y**3 + 2*y**2
Let i(h) = -3. Let a(c) = 46*c + 28. Determine -2*a(g) - 18*i(g).
-92*g - 2
Let h(u) = -15*u**3 - 10*u - 1. Let g(l) = -3 - 3*l**3 - 2761*l + 3 + 2759*l. Let a(i) = -i**3 - 11*i**2 + i. Let x be a(-11). Determine x*g(p) + 2*h(p).
3*p**3 + 2*p - 2
Let n(h) = h**3 - 5*h**2 - 13*h + 10. Let v(p) = 3*p**3 - 21*p**2 - 53*p + 45. Give 9*n(z) - 2*v(z).
3*z**3 - 3*z**2 - 11*z
Let d(q) = 16*q**2 + 24*q - 24. Let o(y) = 14*y - 668. Let r be o(46). Let u(h) = h - 1. Calculate r*u(t) + d(t).
16*t**2
Let v(t) = 2*t**3 - 3*t**2 + 4*t + 5. Let u(g) = -g**2 - 8*g**3 + 8*g**3 + 3*g**3 + g - 2*g**3 + 1. What is -5*u(f) + v(f)?
-3*f**3 + 2*f**2 - f
Let f(j) = -20*j**3 + j - 1. Let l(r) = -r + 1. Determine 6*f(d) + 6*l(d).
-120*d**3
Let a(b) = -3*b**3 - 6*b**2 + b + 11. Let u(d) = 2*d**2 - 2*d. Let z(m) = -a(m) + u(m). Let o(x) = x**3 + 3*x**2 - x - 4. Determine -11*o(g) + 4*z(g).
g**3 - g**2 - g
Let q(c) be the first derivative of -2*c**3/3 + 3*c**2/2 - c + 58. Let o(n) = -4*n**2 + 7*n - 3. What is 3*o(j) - 7*q(j)?
2*j**2 - 2
Let g(k) = k. Let m(h) = -h**3 - 12*h**2 + 29*h + 19. Let v be m(-14). Let j(z) = -7*z - 1. Determine v*g(w) + j(w).
-2*w - 1
Let j(q) = 34*q**2 - 19*q - 5. Let b(i) = -34*i**2 + 16*i + 4. What is -5*b(o) - 4*j(o)?
34*o**2 - 4*o
Let s(f) = -15*f. Let t(o) = 203*o - 105*o - 120*o. Suppose -5*r - 20 = 5*u, -4*r + 0*r = -12. Determine u*s(y) + 5*t(y).
-5*y
Let z(o) = 137*o**3 - 5*o**2 + 5*o + 2. Let i(a) = a**3 + a**2 - a - 1. What is 5*i(f) + z(f)?
142*f**3 - 3
Let g(m) = 9*m**2 + 11*m + 6. Let c be (-8)/16 - (-65)/(-10). Let l(r) = 4*r**2 + 5*r + 3. What is c*l(h) + 3*g(h)?
-h**2 - 2*h - 3
Let c(l) = 4*l**2 + 16*l + 6. Let s(t) = t**2 + 7*t + 22. Let n be s(-6). Let y(v) = v + n*v**2 + 3*v + v - 15*v**2 + 2. Calculate 3*c(a) - 10*y(a).
2*a**2 - 2*a - 2
Let r(u) = 6*u**2 - 7*u - 5. Let m(b) be the second derivative of 13*b**4/12 - 5*b**3/2 - 11*b**2/2 - 392*b. What is 4*m(w) - 9*r(w)?
-2*w**2 + 3*w + 1
Let x(t) = -4*t**3 + 9*t**2 + 213*t - 1. Let m(p) = -6*p**3 + 15*p**2 + 426*p - 2. Determine -3*m(f) + 5*x(f).
-2*f**3 - 213*f + 1
Let w(k) = 4*k**2 + 6. Suppose -2*r + 0 = 2. Suppose -5*p - 5*n + 12 = -8, -16 = -3*p - 5*n. Let q(d) = -2 + d**p + 1 + 2. What is r*w(l) + 6*q(l)?
2*l**2
Let z(c) be the first derivative of -1 + 1/3*c**3 - 6*c + 0*c**2. Let d(u) = 2. Suppose -2*r - 18 = -5*k, k + 4 = r + 10. Determine k*z(f) + 7*d(f).
2*f**2 + 2
Let n(r) = 7*r**2 - 3*r + 9. Let a(g) = -3*g**2 + g - 4. Suppose -8*b = 30*b - 152. Determine b*n(p) + 9*a(p).
p**2 - 3*p
Let j(y) = -15*y - 12. Let w(p) = 6*p + 5. Let k(b) = 2*b**2 - 101*b - 168. Let a be k(52). What is a*w(h) - 5*j(h)?
3*h
Let f(i) = -1280 + 2554 - 1272. Suppose 0 = -2*u + 2*j + 4, -u + 5*j = -4*u + 46. Let q(y) = y**2 + 5. Give u*f(c) - 3*q(c).
-3*c**2 - 1
Let k = -811 - -810. Let i(r) = -6*r**3 + 4*r**2 + 2*r. Let u(v) = -v**3 + v**2 + v - 1. Determine k*i(z) + 2*u(z).
4*z**3 - 2*z**2 - 2
Let v(c) = -6*c**3 - 4*c**2 - 4. Let n(k) = -30*k**3 - 21*k**2 - 21. Let p(l) = -l**2 + 30*l - 193. Let h be p(21). Calculate h*n(w) + 21*v(w).
-6*w**3
Let t(k) = -14*k**2 + 9*k - 14. Suppose i - 4 = -4*c, 37 = -3*i + 3*c + 4. Let v(j) = -5*j**2 + 3*j - 5. Calculate i*v(r) + 3*t(r).
-2*r**2 + 3*r - 2
Let s(p) = -5*p**2 + 6*p - 6. Let m(v) = v**2 - v + 1. Let w be (-65)/11 + 18/(-3) + (-715)/(-121). Let o be ((-1)/(-2))/((-3)/6). What is o*s(z) + w*m(z)?
-z**2
Suppose 0 = 1904*y - 2000*y - 384. Let u = 0 - 1. Let a(m) = 3*m + 1. Let c(q) = -q - 1. Calculate u*a(l) + y*c(l).
l + 3
Let q(l) = 8 - 7*l - 2*l + 5 - 2. Suppose -3*k - 3*k - 66 = 0. Let b(h) = -5*h + 6. What is k*b(j) + 6*q(j)?
j
Let w(z) = 8*z**3 - 10*z**2 + 9*z + 4. Let t(v) = 4*v**3 - 6*v**2 + 5*v + 2. Let d(l) = -5*t(l) + 3*w(l). Let s(n) = n**3 - n - 1. Give 2*d(a) + 4*s(a).
12*a**3
Let q(r) = 4*r - 15. Let w(n) = -2*n + 8. Determine -2*q(c) - 5*w(c).
2*c - 10
Suppose 5*q = -3*x + 2*q - 12, -4*x - 24 = -4*q. Let h(z) = z + 2. Let t(n) = -n - 2. Calculate x*t(w) - 6*h(w).
-w - 2
Let f = 5 + -8. Let t(i) = -5*i - 5. Let p be (-5)/((-1)/(0 - 1)). Let v(r) = r + 4. Let x(c) = 2*c + 7. Let g(k) = p*v(k) + 3*x(k). Determine f*g(u) - t(u).
2*u + 2
Let v(y) = 4*y**2 + 11*y. Let j(a) = -a**2 + a. Let t(m) = 4*j(m) - v(m). Let i(s) = 9*s**2 + 8*s. Calculate 5*i(u) + 6*t(u).
-3*u**2 - 2*u
Suppose 0 = 4*q - 0 - 8. Let t(s) = -s**3 - 2*s**2 + 2*s. Let r(a) = -a**3 - 3*a**2 + 3*a. Calculate q*r(b) - 3*t(b).
b**3
Let j(m) = 13*m**2 - m + 3. Let v(g) = -1. Determine j(z) + 2*v(z).
13*z**2 - z + 1
Let h(c) = -25*c**2 - 25*c. Let u(j) = 6*j**2 + 6*j. Let i(x) = 4*h(x) + 15*u(x). Let z(b) = -5*b - 3*b**2 + 5*b**2 - b**2 + 6*b. Give 2*i(p) + 22*z(p).
2*p**2 + 2*p
Let v(h) = 7*h**3 - h**2 + 15*h - 2. Let c(n) = 36*n**3 - 5*n**2 + 78*n - 11. Give -2*c(o) + 11*v(o).
5*o**3 - o**2 + 9*o
Let k(z) = 2*z**2 - 5. Let t(a) = -3*a**2 + 9. Suppose -y = -3*q + 2, -2*y - 93 = 2*y + 5*q. Let x = y - -26. Calculate x*k(j) + 5*t(j).
3*j**2
Suppose -6 = -10*c - 16. Let g(n) = 11*n + 12*n - 32*n - 3 + 10*n. Let w(p) = -2. Let v(b) = 1. Let y(x) = -5*v(x) - 2*w(x). Determine c*g(k) + 2*y(k).
-k + 1
Let i(f) = -2. Let w(g) = -g**3 - 10*g**2 - 11*g - 16. Suppose 36 = m - 6*m + 3*n, m + n = -12. Let u be w(m). Let s(p) = p - 2. Give u*s(o) - 3*i(o).
2*o + 2
Let o(j) = -9*j**2 - 6*j + 6. Let c(v) be the third derivative of 19*v**5/60 + 13*v**4/24 - 13*v**3/6 - 20*v**2 - 4*v. Calculate -4*c(g) - 9*o(g).
5*g**2 + 2*g - 2
Let c(k) = -4*k**3 - 2*k**2 - 2. Let x = -47 + 55. Suppose -6*y = -x*y + 6. Let u(m) = -11*m**3 - 6*m**2 - 5. Give y*u(s) - 8*c(s).
-s**3 - 2*s**2 + 1
Let n(c) = 4*c**2 + 19*c + 9. Let z be 230/26 + (-24)/(-156). Let v(w) = 2*w**2 + 9*w + 4. Determine z*v(p) - 4*n(p).
2*p**2 + 5*p
Let p be (6 + -1)*-1 + 25 + -15. Let r(j) = -4*j**3 + 8*j**2 - 11*j + 3. Let l(d) = -3*d**3 + 5*d**2 - 7*d + 2. Give p*r(u) - 8*l(u).
4*u**3 + u - 1
Let z(i) = -11*i + 62. Let o(b) = 14*b - 63. What is 5*o(r) + 6*z(r)?
4*r + 57
Let v(g) = 10*g + 5*g**2 - 3*g - 12*g. Let k(p) = 16*p**2 - 14*p. What is -4*k(f) + 11*v(f)?
-9*f**2 + f
Let z(c) = 28*c**2 - 16*c - 6. Suppose 4*g + 2*q - 2 = -4, 0 = 2*q + 10. Let v(r) = -r**2 - 3*r**2 + 5*r + g*r**2 + 2 - 7*r**2. Give -16*v(l) - 5*z(l).
4*l**2 - 2
Let x(w) = -14*w**3 + 6*w**2 + 6. Let r(o) = o**3 - o**2 - 1. Let y(i) = i**2 - 27*i + 73. Let z be y(24). What is z*x(s) + 6*r(s)?
-8*s**3
Let j(v) = 4*v**2 + 6*v + 5. Let r be 6*4/8 + 0. Let d be (-10)/4*(5 + r). Let s = d - -14. Let q(w) = -9*w**2 - 13*w - 11. Calculate s*q(c) - 13*j(c).
2*c**2 + 1
Suppose 0 = -4*z + 6 - 2. Let l(p) = 2*p + 4*p + 3*p - 8*p. Let b(m) = 2*m - 2. Determine z*b(a) - 3*l(a).
-a - 2
Let n(o) = 3*o - 2. Let q(j) = 7*j - 3. Give -5*n(f) + 3*q(f).
6*f + 1
Let t(u) = 235*u + 2. Let n(z) = 233*z + 2. Calculate -3*n(a) + 2*t(a).
-229*a - 2
Let l(a) = -a - 2. Let i(g) = g + 1. Let x = 137 