d(b) be the first derivative of b**3 - 11*b**2/2 + 8*b + 2. Let p(a) = j*d(a) + 2*k(a). Factor p(l).
-3*(l - 2)*(l - 1)
Suppose 32*i = -3*q + 28*i + 32, -5*q + 46 = 3*i. Find h such that -375*h**4 - q - 15*h**2 - 15*h**2 + 387*h**4 + 12*h - 3*h**3 - 3*h**5 + 32 = 0.
-1, 2
Let m be -2 + 104/44 - (-8295)/5775. Factor -m*z**2 + 16/5*z + 4/5.
-(z - 2)*(9*z + 2)/5
Factor 4*c**4 + 15*c**3 - 1135 + 290 - 640*c - 928 + 237 + 45*c**3 + 168*c**2.
4*(c - 3)*(c + 2)*(c + 8)**2
Let q(b) be the second derivative of -b**4/30 + 268*b**3/5 - 161604*b**2/5 - 15*b + 82. Factor q(s).
-2*(s - 402)**2/5
Let x(o) be the first derivative of -2*o**5/15 - 19*o**4/6 - 22*o**3 - 27*o**2 - 4842. Factor x(n).
-2*n*(n + 1)*(n + 9)**2/3
Suppose -3843*g + 5 = r - 3842*g, -4*r - g = -11. Let -1/4*y**2 + 9/4 + r*y = 0. Calculate y.
-1, 9
Suppose 0 = -3*b + 9*l - 4*l + 16, 4*b = l + 44. Solve -8 - 55*v**2 + 56*v**2 + b*v - 8*v + 3*v = 0.
-8, 1
Let f(r) = -r**3 - r**2 + 2*r. Let z(d) = -12*d**3 + 27*d**2 - 9*d - 222. Let y(j) = 22*f(j) - 2*z(j). Factor y(n).
2*(n - 37)*(n - 3)*(n + 2)
Suppose 5*f - 110 + 70 = 5*m, 4*m = -8. Let d(t) be the first derivative of 27 + 0*t**5 + 15/8*t**4 - 5/12*t**f + 0*t + 0*t**2 + 5/3*t**3. Factor d(z).
-5*z**2*(z - 2)*(z + 1)**2/2
Determine g so that -2/9*g**4 + 134/9*g**2 - 20/9*g**3 + 40/3 - 232/9*g = 0.
-15, 1, 2
Let k be -3 + (10/(-22))/5 + (-56)/(-11). Let -2/13*y**k - 6/13*y + 8/13 = 0. Calculate y.
-4, 1
Let z be (22 - 1911/84)*(-25)/3. Let s(f) be the second derivative of 0 + z*f**4 - f + 65/6*f**3 + 5*f**2. Factor s(q).
5*(3*q + 2)*(5*q + 1)
Let k(l) be the third derivative of l**6/270 + 103*l**5/135 - 851*l**2 - 3*l. Determine y, given that k(y) = 0.
-103, 0
Let u be (-49)/(0 - -7) + 2*6. Let d(c) be the first derivative of -4 + u*c - 10/3*c**3 - 5/2*c**2. Solve d(o) = 0.
-1, 1/2
Let f be (0/3)/(-4 - (1 + -9)). Let p(i) be the second derivative of -8*i + 1/4*i**5 + 5/3*i**4 + 0*i**2 + 10/3*i**3 + f. Factor p(k).
5*k*(k + 2)**2
Let d(n) = -n**2 + 5*n + 16. Let w(u) = u - 16. Let i be w(23). Let f be d(i). Factor 5*k + k**f + k**2 + 18*k**2 + 3*k.
4*k*(5*k + 2)
Let g(h) = 6*h**2 - 1. Let a(n) = 29*n**2 + 5*n - 9. Let c be 42 + -43 - (3 + -1). Let t(x) = c*a(x) + 15*g(x). Factor t(u).
3*(u - 4)*(u - 1)
Suppose -5 = -5*n, -21 = -5*v - 5*n + 4. Find j such that j**3 + v*j - 9*j - 4*j + 8*j = 0.
-1, 0, 1
Suppose -o - o + 86 = 0. Suppose g + 3*l = 22, 3*l + 105 = 4*g - 2*l. Solve -23*w**4 - g*w**4 + o*w**4 + 15*w**3 - 22*w + 2*w = 0 for w.
-1, 0, 2
Suppose h = 4*z + 16, 6*h + 23 = 8*h - 5*z. Factor 9*r**2 + 10*r**2 + 5*r**3 - 23*r**2 + 3*r**4 - 4*r**h.
-r**2*(r - 4)*(r - 1)
Let p = 282 + -277. Factor 2*t**2 - p*t + 3*t - 4*t**2 - 2*t.
-2*t*(t + 2)
Let k(a) be the second derivative of -5*a**6/14 + 189*a**5/4 + 444*a**4/7 + 178*a**3/7 - 450*a. Factor k(g).
-3*g*(g - 89)*(5*g + 2)**2/7
Let a(p) be the first derivative of -p**4/16 + 65*p**3/4 + 49*p**2/2 - 2331. Factor a(b).
-b*(b - 196)*(b + 1)/4
Suppose 1944/5*y + 4/5*y**5 + 84/5*y**4 + 548/5*y**3 + 1548/5*y**2 + 864/5 = 0. Calculate y.
-12, -3, -2, -1
Suppose -14*y + 64 = 2*y. Let v(c) = 2 + 8*c**3 + 14*c - 10*c**2 - 14*c. Let q(n) = n - 1. Let z(b) = y*q(b) + 2*v(b). Factor z(u).
4*u*(u - 1)*(4*u - 1)
Factor 0 + 2574/5*b**2 + 6534/5*b + 138/5*b**3 + 2/5*b**4.
2*b*(b + 3)*(b + 33)**2/5
Suppose 482 + 62 = 17*m. Factor 2681*p + 71*p**3 + 54*p**3 - 25*p**4 + 30*p**3 - 2493*p + 336*p**2 + m.
-(p - 8)*(p + 1)*(5*p + 2)**2
Let m(d) = 6*d**2 + 12*d + 5. Suppose 50*u - 52*u + 6 = 0. Let j(n) = 3*n**2 + 6*n + 3. Let l(z) = u*m(z) - 5*j(z). Factor l(c).
3*c*(c + 2)
Let h = 1018933 - 1018929. What is o in 0*o + 0 - 87/5*o**3 + 3/5*o**h + 0*o**2 = 0?
0, 29
Let f = 326 - 319. Let j(t) be the second derivative of -t + 0*t**2 + 1/15*t**6 + 0*t**4 + 1/20*t**5 + 0 + 1/42*t**f + 0*t**3. Find x, given that j(x) = 0.
-1, 0
Let k(v) be the third derivative of 94*v**7/175 - 703*v**6/150 + 413*v**5/75 + 85*v**4/2 + 12*v**3/5 - 430*v**2. Suppose k(m) = 0. What is m?
-1, -2/141, 3
Let n(y) = 9*y**2 + 16*y + 31. Let c(z) = -2*z**2 + 1. Let t(v) = -5*c(v) - n(v). Let t(w) = 0. Calculate w.
-2, 18
Let w(i) be the third derivative of -5*i**2 - 41/48*i**4 + 20*i + 0 + 1/20*i**5 - 7/12*i**3. Factor w(s).
(s - 7)*(6*s + 1)/2
Solve -47*s**2 + 100*s**2 + s**4 + 2*s**4 - 23*s**2 - 33*s**3 = 0.
0, 1, 10
Solve -2139*a**4 + 35 + 48 + 173 + 2*a**5 - 100*a**3 - 2095*a**4 + 368*a + 40*a**2 + 4208*a**4 = 0 for a.
-2, -1, 2, 16
Let a(p) = 17*p**4 + 100*p**3 + 629*p**2 + 956*p + 425. Let y(o) = 7*o**4 + 50*o**3 + 314*o**2 + 478*o + 213. Let z(v) = 4*a(v) - 10*y(v). Factor z(w).
-2*(w + 1)**2*(w + 5)*(w + 43)
Suppose -5 - 28 = -2*o + 5*o, 5*b = -6*o - 56. Suppose 21/5*i**3 + 27/5*i**b - 4/5*i**4 + 12/5 - 56/5*i = 0. What is i?
-2, 1/4, 1, 6
Let r be 6015/859 - (-44 - -51). Let t = 1712/2577 + r. Factor -14/3*g + 2 + 10/3*g**2 - t*g**3.
-2*(g - 3)*(g - 1)**2/3
Let f(i) be the second derivative of -i**5/180 - 35*i**4/36 - 1225*i**3/18 + 101*i**2/2 - 31*i. Let x(q) be the first derivative of f(q). Factor x(g).
-(g + 35)**2/3
Let 2 - 11/3*r + 2*r**2 - 1/3*r**3 = 0. What is r?
1, 2, 3
Let a = -9195 - -9195. Let u(x) be the first derivative of 1/18*x**3 + 0*x**2 + a*x + 15. Factor u(n).
n**2/6
Let p(v) be the first derivative of -v**6/60 - v**5/5 - 31*v**4/40 - 11*v**3/15 + 8*v**2/5 + 16*v/5 + 1759. Find j, given that p(j) = 0.
-4, -2, -1, 1
Let l be 1*(6 - 4)*(-12)/8. Let n(x) = -2*x**3 - 5*x**2 + 15*x + 55. Let p(t) = t**3 + 3*t**2 - 7*t - 27. Let s(i) = l*n(i) - 7*p(i). Factor s(d).
-(d - 2)*(d + 2)*(d + 6)
Let w(f) be the second derivative of -f**7/210 - 11*f**6/75 - 39*f**5/100 + 437*f**4/30 - 994*f**3/15 + 588*f**2/5 - f + 30. Let w(j) = 0. What is j?
-14, 1, 2, 3
Let s(v) = v**3 - 26*v**2 - 33*v + 186. Let k be s(27). Determine u so that -72/7*u - 6/7*u**5 + 48/7*u**4 + 0 + k*u**2 - 138/7*u**3 = 0.
0, 1, 2, 3
Let m(u) = 20*u**2 + 2510*u + 2520. Let v(t) = 23*t**2 + 2510*t + 2523. Let r(h) = -6*m(h) + 5*v(h). Factor r(x).
-5*(x + 1)*(x + 501)
Suppose -6/7*w**5 + 2404/7*w - 5606/7*w**3 + 2414/7*w**4 - 1600/7 + 342*w**2 = 0. What is w?
-2/3, 1, 400
Factor 0 + 57*g**2 + 0*g - 1/3*g**3.
-g**2*(g - 171)/3
Let a be 0/((5 - 2)/3). Suppose a = 6*s + 3 - 381. Factor -29 - 24*i**2 - 27 + 3*i**3 + s*i + 2.
3*(i - 3)**2*(i - 2)
Let v(j) be the second derivative of -7/8*j**4 + 15/4*j**3 + 0 - 70*j + 3/40*j**5 - 27/4*j**2. Factor v(t).
3*(t - 3)**2*(t - 1)/2
Suppose 19*c = -12*c + 124. Factor 0*w**2 + c - w**2 - 4 + 25*w.
-w*(w - 25)
Let s be 264550/(-24420) + 11/(-1 + 2). Factor -7/3 - s*m**2 - 3/2*m.
-(m + 2)*(m + 7)/6
What is s in 96/7*s + 108 + 3/7*s**2 = 0?
-18, -14
Let 3*w**4 + 12*w**4 - 120*w + 548*w**3 + 372*w**2 - 366*w**3 - 368*w**3 = 0. What is w?
0, 2/5, 2, 10
Let q(z) = -3*z**3 - 30*z**2 - 51*z + 24. Let p(b) = 10*b**3 + 98*b**2 + 152*b - 72. Let d(l) = -6*p(l) - 17*q(l). Factor d(t).
-3*(t + 1)*(t + 8)*(3*t - 1)
Determine t so that -969/5*t - 192*t**2 - 243/5 + 12/5*t**3 = 0.
-1/2, 81
Let h be -2 - (-34 + 9 + -4). Let h*k + 45/2*k**2 + 1/4*k**4 + 17/4*k**3 - 54 = 0. Calculate k.
-6, 1
Let d = 12326 + -5179. Factor d*a + 2*a**2 - 5*a**2 - 36 - 7186*a.
-3*(a + 1)*(a + 12)
Let l be (169/(-26))/((-2)/28). Let t(s) = -s**2 + 11*s - 9. Let h be t(8). What is n in 33*n**2 - 97 + l - 10*n + 0*n**3 + 30*n**5 - 63*n**4 + h*n**3 + n = 0?
-1/2, -2/5, 1
Suppose -90/13*s**3 + 298/13*s**2 + 192/13 - 98/13*s**4 - 2/13*s**5 + 484/13*s = 0. Calculate s.
-48, -1, 2
Let k(o) be the third derivative of -o**5/15 - 41*o**4/6 - 80*o**3/3 - 22*o**2 + 1. Factor k(x).
-4*(x + 1)*(x + 40)
Let t(b) = 2*b**3 - 140*b**2 + 2446*b + 2594. Let y(n) = -8*n**3 + 559*n**2 - 9783*n - 10377. Let g(q) = 18*t(q) + 4*y(q). Factor g(k).
4*(k - 36)**2*(k + 1)
Let t(f) be the second derivative of 11*f**6/30 + f**5 - 5*f**4/4 - 10*f**3/3 + 2*f**2 + 184*f + 1. Let t(n) = 0. What is n?
-2, -1, 2/11, 1
Let m(q) be the second derivative of -q**4/3 - 3704*q**3 - 15434568*q**2 + 15867*q. Find w, given that m(w) = 0.
-2778
Let p(j) be the third derivative of j**5/150 + 9*j**4/4 - 136*j**3/15 + 48*j**2 + 4*j. Find m, given that p(m) = 0.
-136, 1
Let t be 132 + 1/(-2)*30/(-5). Factor 23*u + t + 11*u + 13*u + 5*u**2 + 13*u.
5*(u + 3)*(u + 9)
Factor 396/7 - 2/7*j**2 + 54/7*j.
-2*(j - 33)*(j 