Solve s(h) = 0.
-1, 0, 3
Suppose -12/7*c - 36/7*c**3 - 92/7*c**2 + 144/7 - 4/7*c**4 = 0. Calculate c.
-4, -3, 1
Let h(t) = 2*t**3 + 10*t**2 + 6*t. Let r(v) = -6*v - 7*v**2 - 4*v**3 - 4*v**2 + 2*v**3. Let z(p) = -6*h(p) - 4*r(p). Factor z(g).
-4*g*(g + 1)*(g + 3)
Let d(r) be the second derivative of r**4/3 - r**3/3 - 3*r**2 + r + 91. Let d(u) = 0. Calculate u.
-1, 3/2
Suppose 5*c**3 - 9*c**3 - 116*c - 26 - 58 + 56*c**2 - 92 = 0. What is c?
-1, 4, 11
Let g(p) = -p**3 - 12*p**2 - 33*p + 18. Let i be g(-6). Let i + 5/6*c**2 + 5/2*c = 0. What is c?
-3, 0
Let i(c) be the second derivative of -c**8/336 + c**7/28 - c**6/8 + c**3/2 + 13*c. Let u(o) be the second derivative of i(o). Factor u(b).
-5*b**2*(b - 3)**2
Let c(l) = -273*l**5 + 610*l**4 - 386*l**3 + 38*l**2 + 13*l - 4. Let f(a) = a**5 - a**2 - 1. Let s(o) = -c(o) + 2*f(o). Suppose s(b) = 0. What is b?
-2/11, 1/5, 1
Suppose -5*o = -3*y - 31, -2*o + 3*y + 26 = 2*o. Suppose -s = -o*s + 16. Factor -3*m**s - m - 6*m**3 - 9*m**2 + m - 6*m**3.
-3*m**2*(m + 1)*(m + 3)
Let d(r) be the first derivative of r**5/30 - 2*r**4/9 + 5*r**3/9 - 2*r**2/3 + r - 8. Let q(b) be the first derivative of d(b). Let q(g) = 0. What is g?
1, 2
Let m(o) = o**3 - 9*o**2 - 11*o - 3. Let i(k) = -7*k**3 + 55*k**2 + 66*k + 17. Let w(c) = 6*i(c) + 39*m(c). Factor w(n).
-3*(n + 1)**2*(n + 5)
Let c = 2/247 + 701/4940. Let j(v) be the second derivative of -8*v + 0*v**3 + 0*v**2 + c*v**5 - 1/10*v**6 + 0*v**4 + 0 - 1/7*v**7. Factor j(t).
-3*t**3*(t + 1)*(2*t - 1)
Suppose 3*c - r = 14, 114*r = -2*c + 115*r + 12. What is t in 4/3 + 41/3*t**c + 5*t**3 + 8*t = 0?
-2, -2/5, -1/3
Determine x so that -2/7*x**4 - 90/7*x**2 + 0 + 92/7*x**3 + 0*x = 0.
0, 1, 45
Let h(s) be the first derivative of -s**5/20 - s**4/16 + s**3/12 + s**2/8 - 407. Let h(g) = 0. Calculate g.
-1, 0, 1
Let k(t) = t**3 + 8*t**2 - 22*t - 17. Let h be k(-10). Factor 2*d**h - 4*d**4 - 20*d**3 - 21*d**2 + 7*d**4.
3*d**2*(d - 7)*(d + 1)
Let c(m) be the second derivative of -m**7/84 - 3*m**6/20 - 3*m**5/4 - 11*m**4/6 - 2*m**3 - 147*m. Factor c(q).
-q*(q + 2)**3*(q + 3)/2
Suppose 2*d + 2 = 4. Suppose -3*t = 2*v - 11, -5*v = 2*t - 10 - d. Factor 6*z + 0*z**2 + 6*z**2 - t*z + 3*z**3.
3*z*(z + 1)**2
Let a(r) = -r - 6. Let v be a(-6). Let n be ((-27)/(-135))/((-1)/2 - -1). Factor 2/5*l + v*l**2 + 0 - n*l**3.
-2*l*(l - 1)*(l + 1)/5
Let m(s) = -16*s**4 - 13*s**3 - 96*s**2 - 74*s - 41. Let x(b) = 3*b**4 + 3*b**3 + 19*b**2 + 15*b + 8. Let w(i) = -4*m(i) - 22*x(i). Factor w(n).
-2*(n + 1)**2*(n + 2)*(n + 3)
Factor 2/3*x**2 - 4*x + 6.
2*(x - 3)**2/3
Factor -55*p - 3*p**3 - 20*p**2 - 30 + 15*p**3 - 7*p**3.
5*(p - 6)*(p + 1)**2
Let j(f) be the first derivative of f**6/15 - 4*f**5/25 - 7*f**4/10 - 8*f**3/15 - 88. Factor j(y).
2*y**2*(y - 4)*(y + 1)**2/5
Let y be 144/66 + (-36)/198. Factor -2*j**4 - 2/7*j - 38/7*j**3 - 30/7*j**y + 4/7.
-2*(j + 1)**3*(7*j - 2)/7
Suppose 17*d + 700 = 87*d. Let w(i) be the first derivative of 2/5*i**3 + 0*i**4 + 0*i - 1/10*i**6 + 3/10*i**2 - d - 6/25*i**5. Factor w(y).
-3*y*(y - 1)*(y + 1)**3/5
Suppose -24*p + 19*p + 30 = 0. Factor g**3 + 0*g**2 + 2*g + p*g**2 + 5*g**3 + 2*g**4.
2*g*(g + 1)**3
Let n(y) be the first derivative of -4 + 0*y + 5/3*y**3 - 1/1440*y**6 + 0*y**2 + 1/480*y**5 + 1/48*y**4. Let l(w) be the third derivative of n(w). Factor l(s).
-(s - 2)*(s + 1)/4
Let z(v) be the third derivative of 0*v - 39/40*v**5 + 507/16*v**4 - 4*v**2 + 1/80*v**6 + 0 - 2197/4*v**3. Factor z(m).
3*(m - 13)**3/2
Let x(h) be the third derivative of -37*h**2 + 1/210*h**7 + 0 - 1/12*h**4 - 1/30*h**6 + 0*h**3 + 0*h + 1/12*h**5. Let x(o) = 0. What is o?
0, 1, 2
Suppose -2*h + 12 = -2*x, -h - 10 = -6*h + x. Let d be (h/((-1)/(-2)))/7. What is m in -2/7*m**5 + 0 + 2/7*m**4 + 0*m + 2/7*m**3 - d*m**2 = 0?
-1, 0, 1
Let o(d) be the first derivative of 3/5*d**5 + 12*d - 18*d**2 - 9/2*d**4 + 32 + 13*d**3. Factor o(i).
3*(i - 2)**2*(i - 1)**2
Let t(m) = -3*m**5 - 208*m**4 + 1341*m**3 - 22*m**2 - 11*m. Let r(d) = -2*d**5 - 104*d**4 + 670*d**3 - 12*d**2 - 6*d. Let w(u) = 11*r(u) - 6*t(u). Factor w(f).
-4*f**3*(f - 13)**2
Let r(g) = -3*g**2 + 101*g + 140. Let o be r(35). Let j(k) be the third derivative of 0*k + 0 - 2/3*k**4 + o*k**3 - k**2 - 1/5*k**5. Factor j(w).
-4*w*(3*w + 4)
Factor 0*l**4 + 12 - 3*l**3 - 3*l**3 - 4*l**4 + 6*l**4 - 6*l**2 + 14*l.
2*(l - 3)*(l - 2)*(l + 1)**2
Find k such that 3*k**2 - 70 + 135*k - k**2 - 36*k - 31*k = 0.
-35, 1
Let r(b) be the first derivative of b**5/25 - 9*b**4/20 + 7*b**3/5 - 19*b**2/10 + 6*b/5 - 30. Factor r(o).
(o - 6)*(o - 1)**3/5
Suppose -8*n - n + 18 = 0. Let x(i) be the first derivative of -1/9*i**3 - 3*i - 4 - i**n. Factor x(s).
-(s + 3)**2/3
Suppose 0 - 92*g**2 - 24*g**3 - 208/3*g - 4/3*g**4 = 0. What is g?
-13, -4, -1, 0
Let v = -101 - -85. Let f be ((-2)/(-5))/((-11)/(1144/v)). Factor -1/5*b**5 - 6/5*b**4 + 0 - f*b**3 - 4/5*b - 12/5*b**2.
-b*(b + 1)**2*(b + 2)**2/5
Let o(n) = -5*n**3 + 40*n**2 + 15*n. Let d = -72 + 57. Let c(r) = -r**3 + 10*r**2 + 4*r. Let b(w) = d*c(w) + 4*o(w). Find a, given that b(a) = 0.
0, 2
Let t(q) be the second derivative of 964/9*q**4 + 896/9*q**3 + 0 - 170/9*q**6 - 9*q + 125/63*q**7 + 86/3*q**5 + 128/3*q**2. Suppose t(n) = 0. Calculate n.
-2/5, 4
Determine k, given that -5/4*k**2 - 1/4*k**4 + 0 - k**3 - 1/2*k = 0.
-2, -1, 0
Let y(h) be the third derivative of h**6/30 - h**5/15 - h**4/6 - h**3/6 - 25*h**2. Let t(r) = r**2. Let l(c) = -5*t(c) - y(c). Factor l(z).
-(z - 1)*(z + 1)*(4*z + 1)
Let h(m) be the second derivative of -m**7/210 + m**5/30 - m**3/6 + 9*m**2/2 - 11*m. Let y(j) be the first derivative of h(j). Find f such that y(f) = 0.
-1, 1
Let h = -288 + 288. Let z(c) be the second derivative of -1/42*c**4 + 0 - 7*c + h*c**3 + 0*c**2 + 1/35*c**5 - 1/105*c**6. Factor z(r).
-2*r**2*(r - 1)**2/7
Suppose -1509 = -6*i - 1467. Let j(p) be the third derivative of 0*p**i + 0 + 3*p**2 + 1/20*p**6 + 0*p**4 - 1/168*p**8 + 0*p - 1/15*p**5 + 0*p**3. Factor j(d).
-2*d**2*(d - 1)**2*(d + 2)
Let y(n) be the third derivative of -n**5/510 - n**4/204 + 2*n**3/51 + 81*n**2 - 3*n. What is w in y(w) = 0?
-2, 1
Let p(o) be the second derivative of -6*o**6/5 + 17*o**5/20 - o**4/6 - 345*o. Factor p(l).
-l**2*(4*l - 1)*(9*l - 2)
Let x(l) be the first derivative of l**8/1920 - l**7/420 + 11*l**6/2880 - l**5/480 - 13*l**3/3 - 18. Let d(o) be the third derivative of x(o). Factor d(a).
a*(a - 1)**2*(7*a - 2)/8
Let f(s) be the first derivative of 2/3*s - 2/27*s**3 - 19 - 2/9*s**2. Solve f(u) = 0.
-3, 1
Suppose -15 = -c - 12. Let 12*r**4 + 8 + 8*r**c - 36*r**2 + 3 + 5 = 0. Calculate r.
-2, -2/3, 1
Suppose 11*f - 35 = 64. Let m(b) be the first derivative of -b**4 + 2*b**2 - f - 2/5*b**5 + 2*b + 0*b**3. Factor m(k).
-2*(k - 1)*(k + 1)**3
Let z be (-1428)/(-357)*(-2)/(-4). Find o, given that 216/11*o + 162/11 + 24/11*o**3 + 2/11*o**4 + 108/11*o**z = 0.
-3
Suppose -2*s = h - 6, -26 = -2*s - 2*h + 6*h. Factor -4*q**4 + 2*q**4 + 4*q**s + 4*q**3 - 6*q**4.
4*q**3*(q - 1)**2
Let s = 592/3 + -1175/6. Factor s*q**2 - 15/2*q + 6.
3*(q - 4)*(q - 1)/2
Let m(p) be the third derivative of p**8/84 - 32*p**7/105 - 19*p**6/30 + 34*p**5/15 + 3*p**2 + 36. Solve m(d) = 0.
-2, 0, 1, 17
Find r, given that -12 + 2*r + 1/4*r**4 + 29/4*r**2 + 5/2*r**3 = 0.
-4, -3, 1
Let s(o) = o + 4. Let b be s(-6). Let h be b - (1 + -2) - -14. Determine k so that -k**2 + 4*k**2 + h*k - 16*k = 0.
0, 1
Find g, given that 6*g**2 + 0 + 2/9*g**3 + 0*g = 0.
-27, 0
Let g(s) = 20*s**3 + 17*s**2 - 9*s - 23. Let q(u) = -7*u**3 - 6*u**2 + 3*u + 8. Let x(i) = -6*g(i) - 17*q(i). Factor x(w).
-(w - 2)*(w + 1)**2
Let r(f) be the third derivative of 5*f**8/336 - f**7/42 - f**6/12 + f**5/6 + 5*f**4/24 - 5*f**3/6 - 206*f**2. Factor r(v).
5*(v - 1)**3*(v + 1)**2
Let z(k) = -2*k**2 + 15*k + 1. Let y be z(7). Factor p**2 + 2 + y*p - 3*p**2 - 2 - 6.
-2*(p - 3)*(p - 1)
Let p = -253 + 457. Let u = p - 204. Factor u*l + 2*l**4 + 8/7*l**2 - 32/7*l**3 + 0.
2*l**2*(l - 2)*(7*l - 2)/7
Let o(l) be the first derivative of -l**4/12 + 4*l**3/9 + 5*l**2/6 + 277. Factor o(f).
-f*(f - 5)*(f + 1)/3
Let z(j) be the second derivative of 0*j**4 + 0 + 1/4*j**5 - 9*j + 0*j**2 + 0*j**3 - 1/6*j**6. Determine g so that z(g) = 0.
0, 1
Let g be (-64)/(-80) - (368/(-70))/(-8). Determine k so that 0 + g*k**3 + 1/7*k**2 + 0*k 