4*a**4 - 11*a - 2*a**5 + 8*a**3 + 0*a + 11*a - o*a**2 = 0.
-2, 0, 2
Suppose 194*f + 20 = 199*f, 16 = -g + 4*f. Suppose 1/4*t**3 - 9/4*t**2 + g - 11/2*t = 0. What is t?
-2, 0, 11
Let b be (-20 + 16 - -5)*-1*6/(-21). Determine n, given that -b*n**5 + 4*n**2 - 10/7*n**4 - 18/7 + 6/7*n - 4/7*n**3 = 0.
-3, -1, 1
Let 122/17*g + 2/17*g**2 + 756/17 = 0. What is g?
-54, -7
Let z be -7 - -2 - 57*((-8)/(-18))/(-4). Let i(t) be the first derivative of 0*t - z*t**3 + 0*t**2 - 10. Factor i(l).
-4*l**2
Let n(x) = x**3 + x**2 - x + 3. Let m(a) = -14*a**3 + 401*a**2 - 291*a + 18. Let t(b) = m(b) - 6*n(b). Let t(p) = 0. What is p?
0, 3/4, 19
Suppose 5*s = 2*u - 5*u + 109, -3*s + 54 = -2*u. Factor 543*f**2 + s - 80*f + 2*f**3 - 478*f**2 - 17*f**3.
-5*(f - 2)**2*(3*f - 1)
Let f = 7822957/9 - 867826. Let w = -1390 + f. Factor 0 + 2/9*p - w*p**3 + 11/9*p**2.
-p*(p - 1)*(13*p + 2)/9
Let n(a) be the third derivative of -a**5/150 - 7*a**4/6 - 1065*a**2 + 2*a. Determine s so that n(s) = 0.
-70, 0
Let n(w) be the third derivative of -w**6/900 + w**5/300 + w**4/30 + 101*w**3/6 + 2*w**2 - 77. Let x(a) be the first derivative of n(a). Factor x(z).
-2*(z - 2)*(z + 1)/5
Let s(f) = -44*f + 181. Let u be s(12). Let c be -4*u/42 + (-60)/(-210). Determine j, given that 22*j**3 - c*j**5 + 0 + 8/3*j**2 - 50/3*j**4 - 8/3*j = 0.
-1, -2/5, 0, 2/5, 1/2
Let l = 4591962587/427 + -10754001. Let n = 68/61 + l. Solve -n*r**3 - 10/7*r**5 - 64/7*r**2 - 4/7 - 26/7*r - 44/7*r**4 = 0 for r.
-1, -2/5
What is n in 0*n - 12/7*n**2 - 19/7*n**3 + 0 - 8/7*n**4 - 1/7*n**5 = 0?
-4, -3, -1, 0
Let x = -6683477/77 - -86809. Let f = x + -60/11. Factor -12*m - 48/7 + 3/7*m**4 + 3/7*m**3 - f*m**2.
3*(m - 4)*(m + 1)*(m + 2)**2/7
Let i = -15 - -31. Factor 0*u**3 - 2*u**3 - 32*u - 2*u**3 + 9650*u**2 + i - 9630*u**2.
-4*(u - 2)**2*(u - 1)
Let w(f) = -26*f + 453. Let z be w(18). Let v(m) = -m**3 - 13*m**2 + 34*m + 62. Let k be v(z). Suppose -16/5 - 52/5*x**k + 64/5*x + 12/5*x**3 = 0. Calculate x.
1/3, 2
Let d(s) = -183*s**2 + 17*s**2 - 44 - 234*s - 453*s**2 + 95*s**2. Let u = -10 + 16. Let x(r) = -175*r**2 - 78*r - 15. Let m(f) = u*d(f) - 17*x(f). Factor m(c).
-(13*c + 3)**2
Let t = 15/2 + -7. Let a = 27787/20829 + -5/6943. Factor -a*s - t + 1/2*s**2.
(s - 3)*(3*s + 1)/6
Suppose 6 + 3/5*r**3 - 3/5*r - 6*r**2 = 0. Calculate r.
-1, 1, 10
Let i be (80/(-152))/((-345)/2622). Find x, given that 0*x + 0 - i*x**3 + 5/2*x**4 + 2*x**2 - 1/2*x**5 = 0.
0, 1, 2
Suppose -89915392/15*w + 2/15*w**4 - 1792/15*w**3 + 200704/5*w**2 + 5035261952/15 = 0. Calculate w.
224
Factor -130*z - z**2 - 768*z + 2010 - 105*z - 4*z**2 + 8*z.
-5*(z - 2)*(z + 201)
Suppose 923 = 395*s - 26*s - 184. Let u(i) be the third derivative of 0 + 17*i**2 - 1/20*i**5 - 18*i**s + 0*i - 3/2*i**4. Let u(x) = 0. What is x?
-6
Let r(f) be the second derivative of f**6/40 - 17*f**5/60 + 5*f**4/12 - 61*f**2/2 + 51*f. Let o(b) be the first derivative of r(b). Factor o(y).
y*(y - 5)*(3*y - 2)
Let k(a) = 4*a**2 - 4. Let o(z) = -4*z**3 + 40*z**2 - 16*z - 20. Let r(s) = -5*k(s) + o(s). Factor r(n).
-4*n*(n - 4)*(n - 1)
Let r(o) be the first derivative of 52 + 9/2*o**4 - 9*o**3 + 0*o**2 - 3/5*o**5 + 0*o. What is t in r(t) = 0?
0, 3
Factor 478/7 + 2/7*k**2 - 480/7*k.
2*(k - 239)*(k - 1)/7
Let h be (-1 - -5) + (-9 - -43). Suppose h*p = 39*p - 3. Factor -12 - 28*g**3 + 40*g**p + 39*g**2 - 30*g**3.
-3*(g - 2)*(2*g + 1)*(3*g - 2)
Let r(b) = -7*b**4 + 13*b**3 - 42*b**2 + 38*b - 87. Let w(l) = 6*l**4 - 14*l**3 + 42*l**2 - 38*l + 72. Let j(h) = -4*r(h) - 5*w(h). Factor j(f).
-2*(f - 6)*(f - 1)**3
Let z(g) be the first derivative of 2*g**5/85 + 3*g**4/17 - 42*g**3/17 - 392*g**2/17 + 55. What is t in z(t) = 0?
-7, 0, 8
Suppose -5*w = 2021*r - 2018*r - 1, -2*r + r - 3 = 0. Factor -7 + 4*i**4 + 37/2*i - w*i**3 - 1/2*i**5 - 13*i**2.
-(i - 7)*(i - 1)**3*(i + 2)/2
Let n(w) = 37*w + 226. Let z be n(-6). Find s such that 65*s**z + 7222*s**3 - 7036*s**3 + 1 + 7*s**5 - 1 + 32*s + 160*s**2 = 0.
-4, -1, -2/7, 0
Find r, given that 3*r - 11/4*r**4 + 11/4*r**2 + 0 - 13/4*r**3 + 1/4*r**5 = 0.
-1, 0, 1, 12
Let o(m) be the third derivative of 0*m**3 - 1/17*m**4 + 0*m - 2/255*m**5 + 1/340*m**6 - 66*m**2 + 0 + 1/1785*m**7. Factor o(d).
2*d*(d - 2)*(d + 2)*(d + 3)/17
What is f in -362/17*f**3 + 1146/17*f**2 - 800/17*f + 168/17 - 8/17*f**5 - 144/17*f**4 = 0?
-14, -6, 1/2, 1
Let o be (-68)/7 - (-5 + 14 + -19). What is m in 0 + o*m**2 - 2/7*m = 0?
0, 1
Let m(r) be the first derivative of -2*r**3/3 + 324*r**2 - 52488*r - 366. Factor m(v).
-2*(v - 162)**2
Let u(j) be the second derivative of j**5 + 56/3*j**3 - 32*j**2 + 2 - 6*j**4 + j - 1/15*j**6. Factor u(v).
-2*(v - 4)*(v - 2)**3
Let n(j) be the third derivative of -j**6/60 + 701*j**5/90 - 4537*j**4/4 - 1521*j**3 + 4*j**2 - 3*j. Factor n(q).
-2*(q - 117)**2*(3*q + 1)/3
Let y be 451/66 - 3/(-18). What is o in -y*o**2 - 13*o**3 + o**3 + 13*o**2 + 4*o**2 + 2*o**4 + 24*o = 0?
-1, 0, 3, 4
Let s = 7 + -7. Suppose 2*h - 4 - 12 = -3*r, h + 2*r - 8 = s. Suppose -1 + 2 - 20*g + h*g**4 - 23*g**4 + 10*g**2 + 4 + 20*g**3 = 0. Calculate g.
-1, 1/3, 1
Factor 41464*l**4 - 41456*l**4 + 4*l**2 - 14*l**3 + 2*l**3.
4*l**2*(l - 1)*(2*l - 1)
Let -1760*b**4 - 3592*b**5 + 15111*b**4 + 2017*b**4 - 30880*b**2 + 30485*b**2 - 2188*b**5 + 6*b + 6047*b**3 = 0. What is b?
-2/5, 0, 1/34, 3
Let h(v) be the second derivative of 6*v**3 + 91 - 1/14*v**7 + 35/4*v**4 + 0*v**2 + 9/10*v**6 - 2*v + 99/20*v**5. Determine i so that h(i) = 0.
-1, 0, 12
Let a = 15487/41192 - 5/5149. Factor -3/4*v**3 + 0*v**2 + 0 + 0*v - a*v**4.
-3*v**3*(v + 2)/8
Let z(l) be the first derivative of -22*l**3/27 + 106*l**2/9 + 80*l/9 + 560. Determine n, given that z(n) = 0.
-4/11, 10
Let q(u) be the second derivative of u + 0*u**2 - 7/15*u**5 + 10/27*u**4 - 2/189*u**7 + 0*u**3 + 8/45*u**6 - 19. Factor q(l).
-4*l**2*(l - 10)*(l - 1)**2/9
Let 3*n**5 - 104*n**2 + n - 85*n + 43*n**4 + 112 + 128*n**3 - 40*n - 7*n**5 - 51*n**4 = 0. Calculate n.
-7, -1, 1, 4
Let x(d) = 2*d**2 + 241*d - 756. Let w be x(-124). Determine s so that -w*s - 4/3*s**3 + 320/3 + 32*s**2 = 0.
2, 20
Let m(t) = 8*t**2 + 362*t + 16934. Let y be 420/56*(-8)/(-10). Let b(k) = -7*k**2 - 363*k - 16933. Let a(j) = y*b(j) + 5*m(j). Factor a(l).
-2*(l + 92)**2
Let q be (16 + -16)*((-10)/75 - 22/60). Let p(a) be the second derivative of a**2 + q - 63/20*a**5 + 7/6*a**3 - 3/2*a**4 + 23*a. What is d in p(d) = 0?
-1/3, -2/7, 1/3
Let r(a) be the first derivative of -69 - 84*a**4 - 108/5*a**5 - 4/3*a**6 + 0*a + 196/3*a**3 + 0*a**2. Factor r(m).
-4*m**2*(m + 7)**2*(2*m - 1)
Let l(d) = -13*d**2 - 324*d - 16. Let n(z) = 2*z**2 + z + 4. Let u(w) = -l(w) - 4*n(w). Factor u(a).
5*a*(a + 64)
Let q(l) be the first derivative of 7*l**4 - 16*l**3/3 - 4*l**2 - 12*l - 30. Let m(c) = 2*c**3 - c**2 + c. Let n(d) = 12*m(d) - q(d). Factor n(t).
-4*(t - 3)*(t + 1)**2
Let o(f) = 20*f**2 + 56*f + 44. Suppose 0 = -20*b + 15*b + 10. Let k(g) = -17*g + 29 + 0 + 8*g**2 + 5*g**b + 54*g. Let z(y) = -8*k(y) + 5*o(y). Factor z(d).
-4*(d + 1)*(d + 3)
Let b(p) be the third derivative of -p**8/336 + p**7/35 + 17*p**6/120 - p**5/10 - 2*p**4/3 + 867*p**2. Find q such that b(q) = 0.
-2, -1, 0, 1, 8
Suppose -129*a = 84*a - 426. Determine p, given that -28/5*p**3 - 16/5*p - 8*p**a + 0 - 6/5*p**4 = 0.
-2, -2/3, 0
Let o(h) = -15*h**3 - h**2 - h + 3. Let q be o(1). Let p be (-4)/28 - (-3 + (-38)/q). Factor 1/7*a**2 - 2/7*a**3 + p*a**4 + 0 + 0*a.
a**2*(a - 1)**2/7
Let x(z) be the second derivative of 1/3*z**3 - 1/30*z**4 + 0 + 0*z**2 - 196*z. Factor x(v).
-2*v*(v - 5)/5
Let i = -68300/17 - -341551/85. What is t in 9*t + 42/5 + i*t**2 = 0?
-14, -1
Determine q, given that -3063/7 + 6129/7*q - 3069/7*q**2 + 3/7*q**3 = 0.
1, 1021
Let f(p) be the third derivative of p**8/168 - p**7/5 + 49*p**6/30 + 4*p**5 + 3423*p**2. What is a in f(a) = 0?
-1, 0, 10, 12
Let j = -1/789117 + -141026470/8680287. Let y = 115/7 + j. Factor -4/11*i - y*i**2 - 2/11.
-2*(i + 1)**2/11
Let y(w) = -1 - 5 + 7 + w**2. Let o be y(-1). Factor 3*m**o - 65*m**4 + 4*m**2 + m**2 + 77*m**4 - 20*m**3.
4*m**2*(m - 1)*(3*m - 2)
Suppose -3*r - 13 = -6*r - 4*x, x + 5 = 2*r. Solve 0*m**3 + 12*m**r - 14*m**3 + 8*m = 0 for m.
-2, 0, 2
Let z(h) be the third derivative of -h**7/630 + 7*h**6/360 - h**5/20 - 7*h**4/72 + 5*h**3/9 + 74*h**2 + 6*h. Let 