*2 + 0 + 1/15*x**5 - 11/60*x**4 + 1/15*x**3 + 0*x. Factor b(g).
2*(g - 1)*(10*g - 1)/5
Let u(b) be the first derivative of 2*b**5/5 + 14*b**4 - 20*b**3 - 28*b**2 + 58*b - 2232. Determine s, given that u(s) = 0.
-29, -1, 1
Factor -216*h + 4*h**4 - 2*h**4 + 29 + 144*h**2 - 30*h**3 - 26 - 3.
2*h*(h - 6)**2*(h - 3)
Let w(n) be the first derivative of 2645*n - 115*n**2 + 1 + 5/3*n**3. Determine u so that w(u) = 0.
23
Let l(k) be the third derivative of k**6/12 + 1491*k**5/10 - 895*k**4/6 + 1325*k**2. Factor l(h).
2*h*(h + 895)*(5*h - 2)
Let j be 1/(28/(1 + -5))*0. Let i(f) be the third derivative of j*f**5 + 1/120*f**4 + 0 - 1/600*f**6 + 0*f - 9*f**2 + 0*f**3. Find k, given that i(k) = 0.
-1, 0, 1
Let d(i) = -2*i**5 + 24*i**3 + 43*i**2 - 11*i. Let l(t) = -t**2 + t. Let q be (-52)/39*(-3)/2. Let x(m) = q*d(m) + 22*l(m). Determine v so that x(v) = 0.
-2, 0, 4
Let h(b) be the third derivative of -9/20*b**5 - 2*b - 4*b**3 + 17*b**2 + 0 + 11/4*b**4. Determine u, given that h(u) = 0.
4/9, 2
Let s(t) = t**3 + 6*t**2 + t - 3. Let x be s(-5). Suppose -3*v**4 - 52*v + x*v + 20*v + 9 - 6*v**2 + 18*v**3 - 3*v**5 = 0. What is v?
-3, -1, 1
Let w(x) be the second derivative of 0*x**2 + 4/9*x**3 + 0 - 1/9*x**4 - 186*x. Factor w(n).
-4*n*(n - 2)/3
Let m = 369 - -699. Let p = m + -1068. Suppose 24/17*x + p - 2/17*x**2 = 0. What is x?
0, 12
Let h(u) = -u**2 + u + 1. Let v = 3 + -2. Let i(a) = 1 - 4877*a**2 - 8*a + 19*a + 4871*a**2. Let p(l) = v*i(l) - h(l). Determine n, given that p(n) = 0.
0, 2
Suppose 21*a + 9 = 19*c + 20*a, 5*c - a = 9. What is j in -1/4*j**5 + 0*j**2 - 1/2*j**4 + c*j - 1/4*j**3 + 0 = 0?
-1, 0
Let w(v) be the third derivative of -v**8/294 - 13*v**7/105 - 121*v**6/84 - 1319*v**5/210 - 27*v**4/4 + 78*v**3/7 + 6313*v**2. Let w(d) = 0. Calculate d.
-13, -6, -3, -1, 1/4
Suppose 3814 = 3*d - 3*g + 3787, -5*d - g = 9. Factor 0*i + 2/17*i**4 + 36/17*i**3 + 0 + d*i**2.
2*i**3*(i + 18)/17
Suppose 106/17*k**3 + 1182/17*k - 746/17*k**2 - 2/17*k**4 - 540/17 = 0. Calculate k.
1, 6, 45
Let i(o) be the first derivative of -2*o**3/3 + 89*o**2/6 + 5*o + 722. Suppose i(b) = 0. What is b?
-1/6, 15
Let i(q) be the third derivative of -2*q**7/105 + 293*q**6/15 - 28616*q**5/5 - 293*q**4/3 + 171698*q**3/3 - 73*q**2 - 23. Find g, given that i(g) = 0.
-1, 1, 293
Suppose -16 = -67*t + 63*t. Factor -t*s**2 + 290*s + 1 - 302*s + 1 - 2.
-4*s*(s + 3)
Let u(y) be the third derivative of -17*y**5/80 - 33*y**4/16 + y**3 - 1261*y**2. Factor u(k).
-3*(k + 4)*(17*k - 2)/4
Let s(w) = w**2 - 15*w - 44. Let v(c) = -2*c**2 + 15*c + 48. Let l(m) = 3*s(m) + 2*v(m). Factor l(f).
-(f + 3)*(f + 12)
Let b(o) be the third derivative of 49/80*o**5 + 0*o - 7/80*o**6 + 0*o**4 + 0 + 25*o**2 + 0*o**3 + 1/280*o**7. What is x in b(x) = 0?
0, 7
Suppose -9*r = 3*r - 72. Factor 311*c + 5*c**2 - 4*c**2 - r - 299*c + 42.
(c + 6)**2
Let -38/5*t + 2/5*t**2 + 176/5 = 0. Calculate t.
8, 11
Let r(q) be the first derivative of q**6/6 - 4*q**5/5 + q**4 + 2*q**3/3 - 5*q**2/2 + 2*q - 372. What is c in r(c) = 0?
-1, 1, 2
Let r(n) = -n + 19. Let f be r(10). Suppose 24 = -3*c + f*c. Factor -c*v**2 + 7*v**3 + 10*v**3 - 2*v + 4*v**4 - 17*v**3 + 2*v**5.
2*v*(v - 1)*(v + 1)**3
Let z(q) = -q**3 - 5*q**2 + 35*q - 7. Let l be z(-9). Suppose -4*y - 10 = -6, 3*t - 8 = -4*y. Factor 2/9*c + 0 + 2/9*c**t + 2/3*c**l + 2/3*c**3.
2*c*(c + 1)**3/9
Let k = -244101/4 - -61104. Let p = -852 - -1753/2. Determine w so that -p + 24*w**2 + 7/4*w**3 + k*w = 0.
-7, 2/7
Let x(s) be the third derivative of -19*s**8/2520 + 37*s**7/2520 + s**6/1080 - 193*s**3/6 + 58*s**2. Let w(c) be the first derivative of x(c). Factor w(z).
-z**2*(z - 1)*(38*z + 1)/3
Find q, given that 81*q**2 - 1581*q**2 + 813*q**3 - 1045*q**3 - 2304*q + 4*q**4 = 0.
-3, 0, 64
Let q(z) be the first derivative of 224/27*z**3 - 4/3*z**5 + 16*z**2 - 4/9*z**4 - 7/27*z**6 + 10 + 64/9*z. Determine d so that q(d) = 0.
-2, -2/7, 2
Let p be 856/749 - (-104)/(-91). Let v be (-6)/4*(-1)/6. Factor v*s**3 + 3/4*s + p + s**2.
s*(s + 1)*(s + 3)/4
Let a(m) = -m + 1. Let q(p) = 4*p**3 - 20*p**2 - 14*p + 30. Let n(v) = 4*v - 18. Let t be n(7). Let y(j) = t*a(j) - q(j). Determine u, given that y(u) = 0.
-1, 1, 5
Let k(q) = 6*q + 134. Let b be k(-22). Let u(w) = 44*w - 88. Let l be u(b). Determine f so that -10/9*f**2 + l + 8/9*f + 2/9*f**3 = 0.
0, 1, 4
Let p(h) be the second derivative of h**5/25 + 7*h**4/5 + 12*h**3/5 - 16*h**2 + 126*h. Factor p(a).
4*(a - 1)*(a + 2)*(a + 20)/5
Let q(i) = 3*i + 78. Let t be q(-9). Let n be (-350)/(-952) + (-6)/t. Factor -1/4*d**4 + 1/4*d**2 + 1/4*d - n*d**3 + 0.
-d*(d - 1)*(d + 1)**2/4
Let d(m) be the first derivative of 5*m**4/4 + 400*m**3 - 2415*m**2/2 + 1210*m - 645. Factor d(y).
5*(y - 1)**2*(y + 242)
Let p(u) be the third derivative of -u**7/70 - 81*u**6/8 - 13566*u**5/5 - 293624*u**4 + 3773184*u**3 + 9297*u**2. Factor p(s).
-3*(s - 3)*(s + 136)**3
Let q(m) = -m**2 + 8*m - 10. Let k = 490 - 484. Let c be q(k). Let -g - c - 1/8*g**2 = 0. What is g?
-4
Let t(x) be the second derivative of 2 + 68/3*x**3 + 2*x - 578*x**2 + 2/15*x**6 - 34/5*x**5 + 96*x**4. What is s in t(s) = 0?
-1, 1, 17
Let r = 380 + -348. Let 4*o**3 + 53*o**4 - 11*o**2 - 17*o**2 + r*o - 52*o**4 = 0. What is o?
-8, 0, 2
Let s = -335019/28 - -83760/7. Let 0 - 3/4*n**3 - 1/4*n**4 + s*n + 1/4*n**2 = 0. What is n?
-3, -1, 0, 1
Factor 220*w - 2*w**2 + 63 + 167 - 213 - 34*w + 559.
-2*(w - 96)*(w + 3)
Let n(l) be the third derivative of 2*l**7/105 - l**6/10 - 3*l**5/5 + 23*l**4/6 - 8*l**3 - 982*l**2. Factor n(u).
4*(u - 4)*(u - 1)**2*(u + 3)
Suppose 95 = 7*m - 2*m. Suppose 20*d - 3 = m*d. Suppose -10*u**2 - 9 - 17*u + d*u**2 + 4*u**3 - 3*u**3 = 0. Calculate u.
-1, 9
Let k(t) be the second derivative of -t**5/20 - 37*t**4/6 + 155*t**3/6 + 114*t**2 - 168*t - 4. Factor k(m).
-(m - 3)*(m + 1)*(m + 76)
Let a(h) be the second derivative of -h**6/30 + h**5/3 - h**4/2 - 6*h**3 + 42*h**2 - 10*h + 3. Let c(p) be the first derivative of a(p). Factor c(k).
-4*(k - 3)**2*(k + 1)
Suppose 5*q - r = 28, 2 + 2 = -q - 3*r. Let 21*x**5 - x**4 + 3*x**2 + x**q - 2*x**4 - 25*x**5 + 3*x**3 = 0. What is x?
-1, 0, 1
Suppose 218 - 228 = a. Let k(s) = -9*s**2 - 15*s. Let u(p) = 2*p**2. Let q(l) = a*u(l) - 2*k(l). Find h such that q(h) = 0.
0, 15
Find q such that 0 + 100/3*q - 2/9*q**4 - 104/9*q**3 - 194/9*q**2 = 0.
-50, -3, 0, 1
Let w be ((-238)/(-833))/(3/(-7)) - -1. Factor -1/3*u**2 - w + 2/3*u.
-(u - 1)**2/3
Suppose 313 = 22*a + 93. Suppose -2*u + r + 24 = 3*r, 0 = 4*u + 5*r - 52. Find w, given that u - 8 + 15*w**3 - 10*w**5 + a*w**4 + 5*w**5 = 0.
-1, 0, 3
Let p = 619/3 - 4897/24. Let t(i) be the second derivative of -5/8*i**5 + 14/3*i**3 + 17*i + p*i**4 + 0 + 3*i**2. What is j in t(j) = 0?
-2/5, 3
Let x = 48928 - 342487/7. Suppose -3*d + 5 = -1. Find v, given that 9/7*v - x*v**3 + 0 - 24/7*v**d = 0.
-3, 0, 1/3
Let b(l) be the second derivative of 0 + 5/24*l**3 + 1/96*l**4 + 81*l + 9/16*l**2. What is q in b(q) = 0?
-9, -1
Suppose -2*g - z = 2, 4*z = 5*g - 0*z - 21. Suppose g = -6*x + 19. Find c, given that 5*c**3 + 11*c**2 - c**3 - 4 + 8*c + c**3 - 2*c**x = 0.
-2, 1/3
Let p(g) be the third derivative of g**7/420 - 2*g**6/15 + 47*g**5/20 - 15*g**4/2 - 225*g**3/4 - 6138*g**2. Let p(s) = 0. What is s?
-1, 3, 15
Let x(t) be the third derivative of -t**7/70 + 7*t**5/20 + 3*t**4/4 + t**2 - 365. Find w such that x(w) = 0.
-2, -1, 0, 3
Suppose -1458/5 - 2/5*u**3 - 486/5*u - 54/5*u**2 = 0. What is u?
-9
Suppose w = -13*w - 56. Let m be (3/w)/(15/(-40)). Factor -30*s**m + 25*s - 5*s**3 - 29*s - 40 - 11*s - 45*s.
-5*(s + 2)**3
Find k such that -3/4*k**3 + 567/4*k + 279/4*k**2 + 285/4 = 0.
-1, 95
Let w = 32 + -4. Let p = w - 26. Determine c, given that 2*c + 0 + 4 + 2*c**2 + 2*c**p + 6*c = 0.
-1
Let w(i) be the third derivative of i**5/30 - i**4/12 - 2*i**3 + 6*i**2 - 32*i. Factor w(n).
2*(n - 3)*(n + 2)
Let f(u) = -25*u**2 + 15*u - 2. Let p(t) be the second derivative of -1/2*t**2 - 1/6*t**4 + 0*t**3 + 0 - 30*t. Let m(y) = f(y) - 4*p(y). Solve m(k) = 0.
-2/17, 1
Let t = 66808/367565 - -2/33415. What is x in 32/11*x + t*x**3 + 0 - 16/11*x**2 = 0?
0, 4
Factor -12*k - 7*k + 390*k**2 + 220*k**3 + 4*k + 168*k**2 + 97*k**2.
5*k*(k + 3)*(44*k - 1)
Suppose 23*v + 7969 = 8429. Factor -24*u - 8 + v*u**3 + 27/2*u**4 + 5/2*u**5 - 4*u**2.
(u 