*2/11 + 506*i. Factor y(q).
2*(q + 6)*(q + 19)/11
Let h(x) = -7*x**3 + 5*x**2 - 2*x - 2. Let q(b) = -2*b**3 + b**2 - b - 1. Suppose -4*c - 3*g = 10, -5*c + g = -3*c. Let t(m) = c*h(m) + 2*q(m). Factor t(w).
3*w**2*(w - 1)
Let i(a) be the second derivative of -a**6/24 + a**5/12 + 5*a**4/24 - 5*a**3/6 + 52*a**2 - a - 9. Let x(c) be the first derivative of i(c). Factor x(t).
-5*(t - 1)**2*(t + 1)
Let u be 70/(-168) - 3*(-5)/30. Let d(l) be the second derivative of 0 + 8*l + 8*l**2 + u*l**4 + 4/3*l**3. Let d(f) = 0. What is f?
-4
Suppose 36 = w - 22. Suppose -w = -10*b + 12. What is v in 2*v + v**2 + 6 - b + 2 = 0?
-1
Suppose -65/3 - 185/3*p - 40*p**2 = 0. Calculate p.
-1, -13/24
Let n be (8/28)/(1062/(-189) + 6). Let x(q) be the first derivative of -n*q**4 - 33 - 729/2*q**2 + 2187*q + 27*q**3. Factor x(u).
-3*(u - 9)**3
Let x(l) = 12*l**2 + l + 10. Let k be x(-10). Let t be (-4)/3*k/(-32). Let -35*j + 44*j**2 - 89*j**2 + 40*j**2 - t = 0. What is j?
-5, -2
Suppose 9*x - 21 = 2*x. Let p(i) = -i**2 - 2*i**3 + x*i**3 - 11 + 10. Let j(h) = h**4 - h**2 + 2. Let t(s) = j(s) + 2*p(s). Factor t(l).
l**2*(l - 1)*(l + 3)
Let l = 352/47 - 7298/987. Let v(z) be the second derivative of 17*z + l*z**3 - 1/21*z**6 - 1/6*z**4 + 0 + 1/147*z**7 + 0*z**2 + 9/70*z**5. Factor v(u).
2*u*(u - 2)*(u - 1)**3/7
Let r(n) be the second derivative of n**6/3 + 101*n**5/4 - 265*n**4/12 - 505*n**3/6 + 255*n**2/2 - n + 7412. Suppose r(i) = 0. What is i?
-51, -1, 1/2, 1
Find s such that 128*s**3 - 180*s + 217*s**2 - 5*s**4 - 76*s**3 - 37*s**2 - 47*s**3 = 0.
-6, 0, 1, 6
Let g(h) be the first derivative of h**6/1800 - h**5/100 + 220*h**3/3 - 131. Let m(n) be the third derivative of g(n). Factor m(w).
w*(w - 6)/5
Let q(w) = 2*w**4 - 4*w**3 + 6*w**2 + 4*w - 4. Let l(k) = 3 - 7*k**3 - 5*k - 10*k**3 + 20*k**3 - 6*k**2 - 2*k**4 + 2. Let m(p) = -4*l(p) - 5*q(p). Factor m(d).
-2*d**2*(d - 3)*(d - 1)
Let m(h) be the third derivative of 0 + 0*h**3 + 0*h + 0*h**4 + 1/55*h**5 + 1/660*h**6 - 73*h**2. Let m(n) = 0. Calculate n.
-6, 0
Let j(s) be the first derivative of 0*s - 3/2*s**2 - 32/285*s**5 - 1/57*s**3 - 4/57*s**4 + 23. Let c(v) be the second derivative of j(v). Factor c(p).
-2*(8*p + 1)**2/19
Let p = -8733 + 8737. Let x(v) be the third derivative of 0*v**3 - 4/315*v**7 + 0*v + 0*v**p + 0*v**5 + 0 + 1/168*v**8 + 1/180*v**6 + 12*v**2. Factor x(j).
2*j**3*(j - 1)*(3*j - 1)/3
Find p, given that 1/4*p**5 - 359/4*p**2 + 187/4*p**3 + 121 - 25/4*p**4 - 22*p = 0.
-1, 2, 11
Suppose 0 = -4*b + 4, u - 5*u = -2*b + 46. Let o be u/(-4) + 3/(-4). Factor 11*j**o + 4 - j**2 + 62*j - 12*j - 36*j.
2*(j + 1)*(5*j + 2)
Factor 891*g + 1411 - 508 - 1502 - 3*g**3 + 5*g**2 - 4504 - 14*g**2.
-3*(g - 9)**2*(g + 21)
Let j = -651 + 630. Let z(n) = 4*n**2 + 18*n + 62. Let l(k) = -k**2 - 6*k - 20. Let h(c) = j*l(c) - 6*z(c). Factor h(x).
-3*(x - 8)*(x + 2)
Suppose -22*z + 10 = -21*z. Let p be (z/48)/((-50)/(-300)). Factor 0 - 1/4*g**3 - 3/2*g - p*g**2.
-g*(g + 2)*(g + 3)/4
Let u(k) be the first derivative of -k**6/36 - 5*k**5/6 - 61*k**4/8 - 275*k**3/18 + 121*k**2/3 + 9513. Suppose u(p) = 0. What is p?
-11, -4, 0, 1
Suppose 9*u - 68 + 23 = 0. Factor 5*i**2 - 3*i**3 + 4*i**3 - i**u - 2*i**2 - 4*i - 3*i**4 + 4*i**3.
-i*(i - 1)**2*(i + 1)*(i + 4)
Let x(v) be the third derivative of 1/60*v**6 + 0*v**4 + 0*v**5 - 18*v**2 + 0*v**3 - 1/21*v**7 + 0*v + 1/42*v**8 + 0. Factor x(l).
2*l**3*(l - 1)*(4*l - 1)
Let l(g) be the first derivative of 3*g**4/4 - 162*g**2 + 1296*g - 682. Factor l(z).
3*(z - 6)**2*(z + 12)
Suppose -4*q**2 + 3*q**4 + 12*q**3 - 12*q - q**2 - q**4 + 14 - 11*q**2 = 0. Calculate q.
-7, -1, 1
Let p(a) be the first derivative of -4/5*a**5 - 184*a**2 + 191 - 13*a**4 - 72*a**3 - 224*a. Find q such that p(q) = 0.
-7, -2
Let g = 130/267 + 16/89. Find t, given that 5/3*t**2 + t - g = 0.
-1, 2/5
Let s(d) be the third derivative of 73*d**2 + 23/100*d**5 + 7/200*d**6 + 2/5*d**3 + 0*d + 0 + 1/2*d**4. Factor s(l).
3*(l + 1)*(l + 2)*(7*l + 2)/5
Let l(n) be the first derivative of 37*n**4 + 29 - 1292/3*n**3 - 722*n**2 + 0*n - 4/5*n**5. Solve l(v) = 0 for v.
-1, 0, 19
Let a be (140/(-1260))/((-3)/36). Let u(b) be the first derivative of a*b**3 - 42 + 1/5*b**5 + 0*b**2 - b**4 + 0*b. Factor u(l).
l**2*(l - 2)**2
Suppose 0 - 1/5*o**4 - 1/5*o + 1/5*o**2 + 1/5*o**3 = 0. What is o?
-1, 0, 1
What is i in 0*i + 0 + 2/11*i**5 + 90/11*i**4 - 386/11*i**3 + 294/11*i**2 = 0?
-49, 0, 1, 3
Let u(s) = 11*s**2 + 103*s - 248. Let n(a) = -3*a**2 - 34*a + 82. Let v(g) = 10*n(g) + 3*u(g). Factor v(b).
(b - 4)*(3*b - 19)
Let z(p) = -p**2 + p. Suppose -95*j + 5 = -100*j. Let l be (-10)/(-4)*8/10. Let w(h) = 3*h**2 - 18*h - 25. Let g(v) = j*w(v) + l*z(v). Solve g(u) = 0.
-1, 5
Suppose -4*y - 3 = -5*h + 10, -2*y = -2*h + 6. Let n be (-3)/(-1) - (1 - 2)*h. Factor -4 + 4 - 4*c**3 + 205*c**2 - 197*c**2 - n*c**4.
-4*c**2*(c - 1)*(c + 2)
Factor 432/17*b + 2/17*b**5 + 26/17*b**4 + 216/17 + 342/17*b**2 + 134/17*b**3.
2*(b + 2)**2*(b + 3)**3/17
Let f(s) be the first derivative of 0*s + 1/2*s**6 + 0*s**2 - s**3 + 9/4*s**4 + 55 - 9/5*s**5. Let f(p) = 0. What is p?
0, 1
Let q be 12/21*(-168)/(-48). Find p such that -440*p**4 - 6*p**q - 3*p**5 + 108*p**4 - 3*p + 3 + 108*p**4 + 112*p**4 + 115*p**4 + 6*p**3 = 0.
-1, 1
Let o(l) = 695*l - 16678. Let k be o(24). Factor 0 - 12/5*b - 14/5*b**k - 2/5*b**3.
-2*b*(b + 1)*(b + 6)/5
Suppose 23*o - 168 = 2*o. Solve 777*s**3 - o*s - 386*s**3 - 389*s**3 = 0.
-2, 0, 2
Let z = 10386453/596920 - 9/119384. Factor z*b**2 + 117*b + 3/5*b**3 - 135.
3*(b - 1)*(b + 15)**2/5
Let u(q) be the first derivative of -13 - 1/21*q**3 - 1/70*q**5 + 1/21*q**4 - 12*q + 0*q**2. Let h(t) be the first derivative of u(t). Factor h(b).
-2*b*(b - 1)**2/7
What is q in 118*q**2 - 200*q**2 - 2171*q**3 + 2173*q**3 + 660*q = 0?
0, 11, 30
Suppose j + a - 6 = 2*a, 5*j + 2 = -3*a. Let h be 44/(-3)*33*(-74)/40293. Determine v, given that -2/9*v**j + 2/3*v + h = 0.
-1, 4
Let c = 41 + -4. Let x = 48 - c. Factor -12*l + x - 1 + 3*l**2 - 1 + 0.
3*(l - 3)*(l - 1)
Let f(c) be the first derivative of 1/54*c**4 + 2/9*c**2 + 5 + 1/9*c**3 + 21*c. Let l(k) be the first derivative of f(k). Let l(i) = 0. What is i?
-2, -1
Let s be 363/(-968) - (35/(-12))/((-4)/(-6)). Factor 130/3*a**2 + 0 + 2/9*a**s + 58/9*a**3 - 50*a.
2*a*(a - 1)*(a + 15)**2/9
Solve 1688 - 1551*o + 50*o**4 + 10640*o**3 + 472*o + 19038*o**2 + 9071*o + 2144*o = 0 for o.
-211, -1, -2/5
Factor -2611*a - 2*a**2 + 6*a**2 + a**2 + 3155 - 549*a.
5*(a - 631)*(a - 1)
Suppose 0 = 146*q - 144*q + 60. Let i be (1 + 3)*q/(-35). What is z in -12/7 - 6/7*z - 6/7*z**5 - 12/7*z**4 + i*z**2 + 12/7*z**3 = 0?
-2, -1, 1
Let m = 238/6717 - -25202/47019. Factor -m*t**5 + 16/7*t**4 - 48/7*t**2 + 8/7*t**3 - 36/7*t + 0.
-4*t*(t - 3)**2*(t + 1)**2/7
Let n(t) = 167*t**2 - 5*t + 23. Let l be n(0). Factor -573/4*z**2 - l*z - 253/2*z**3 - 1 - 121/4*z**4.
-(z + 2)**2*(11*z + 1)**2/4
Let r(q) be the first derivative of 1/6*q**4 + 1/2*q**2 - 9*q + 0*q**5 + 4/9*q**3 - 2 - 1/90*q**6. Let i(t) be the first derivative of r(t). Factor i(o).
-(o - 3)*(o + 1)**3/3
Suppose -2/7*z**2 + 248/7*z - 488/7 = 0. What is z?
2, 122
Let v(h) be the first derivative of 0*h + 4/3*h**3 + 174 + 16*h**2. Factor v(y).
4*y*(y + 8)
Suppose -11 = -7*z + 129. Factor 159*j**2 + z - 3*j**3 - 36*j - 141*j**2 + 4.
-3*(j - 2)**3
Let w = 74203/38 - 36104/19. Find l, given that -3*l**2 + 207/2*l + w = 0.
-1/2, 35
Let q be 62/18 + (-148)/333. Factor 6*z + 6*z**q + 9*z**3 - 3*z - 18*z**3.
-3*z*(z - 1)*(z + 1)
Let l be (-2107)/1505*(-5)/175*0. Let q = 20 + -79/4. Factor 3/2*m + q*m**2 - 3*m**3 + l + 5/4*m**4.
m*(m - 2)*(m - 1)*(5*m + 3)/4
Let t(i) = -9 + 6*i - 20*i + 37. Let d(p) = -p**2 - 12*p + 28. Let l(r) = -2*d(r) + 3*t(r). Factor l(w).
2*(w - 7)*(w - 2)
Let y be 14/(756/(-269)) - -5. Let l(i) be the second derivative of y*i**4 - 9*i + 2/9*i**2 + 0 - 1/9*i**3. Determine d, given that l(d) = 0.
1, 2
Let p(h) be the third derivative of h**8/896 + 3*h**7/56 + 53*h**6/320 - 11*h**5/20 - 27*h**4/16 + 7*h**3 + 2617*h**2 - 2*h. Let p(t) = 0. What is t?
-28, -2, 1
Let z be (5*7/(-35))/(-2 + -1). Let o(j) be the first derivative of 0*j - 3/2*j**2 - z*j**3 - 13. Factor o(w).
-w*(w + 3)
Let y(a) be the second derivative of a**6/70 - 3*a**5/140 - a**4/4 + 13*a**3/14 - 9*a**2/7 - 6