, 0, 1
Let r(c) = -c**2 - 22*c + 4. Suppose q = -y - 21, -3*q = -3 - 0. Let o be r(y). Find u, given that -10*u**2 + 0*u + 0*u + 15*u**3 - 44*u**4 + 39*u**o = 0.
0, 1, 2
Let b(z) = 11*z**2 + 54*z + 58. Let o(n) = 230*n**2 + 1135*n + 1225. Let y(k) = -125*b(k) + 6*o(k). Factor y(h).
5*(h + 2)*(h + 10)
Let j be (-4)/(-1)*12*4/64. Suppose -14*s = -j*s - 55. Factor -s*g**5 + 15*g**4 - 20*g**2 - 1233*g**3 + 1233*g**3.
-5*g**2*(g - 2)**2*(g + 1)
Let v(a) be the first derivative of 180*a + 6*a**4 - 93 - 896/15*a**3 - 12*a**2 - 4/25*a**5. Suppose v(g) = 0. What is g?
-1, 1, 15
Solve -44*i**3 + 656*i**4 - 8*i**3 + 276*i**5 - 18*i**3 - 8 - 648*i**2 - 152*i + 6*i**3 - 60*i = 0 for i.
-2, -1, -1/3, -1/23, 1
Let f(a) be the third derivative of a**5/20 + 10*a**4 + 79*a**3/2 - 446*a**2 + 2. Solve f(s) = 0.
-79, -1
Let m = -110794/21 + 5276. Let q(g) be the first derivative of -1/7*g**4 + 2/35*g**5 + 0*g - m*g**3 + 2/7*g**2 - 6. Factor q(o).
2*o*(o - 2)*(o - 1)*(o + 1)/7
Let j be 0 - (10 - 5 - 7). Let v(s) = -s + 23. Let x be v(11). Factor -x - j*p**3 + 12 + 2*p + 2*p**2 - 2*p**3.
-2*p*(p - 1)*(2*p + 1)
Let s be -1 + 6 + 5 + 6. Let n be 2 + 4/(8/6). Let -s + 56*v + 11*v**2 - 49*v**2 + 43*v**3 - 58*v**2 - 11*v**4 + 23*v**2 + v**n = 0. What is v?
1, 4
Suppose -2*r - 2*y + 16 + 0 = 0, 24 = 4*r + 2*y. Factor -362*w**5 + 360*w**5 - 4*w**4 + 4*w**3 + 2*w**r.
-2*w**3*(w - 1)*(w + 2)
Let p be (-446)/(-1115) + 1/60. Let v(z) be the third derivative of -z**2 - p*z**4 + 0 + 0*z**3 + 1/4*z**5 + 0*z. Find r such that v(r) = 0.
0, 2/3
Factor -73/2*t**3 - 576*t + 1/2*t**4 - 1296 + 683*t**2.
(t - 36)**2*(t - 2)*(t + 1)/2
Find j such that 3*j**3 + 3*j**4 + 52 + 0*j**3 + 24*j - 30*j**2 - 52 = 0.
-4, 0, 1, 2
Let m(v) = 34*v**3 - 418*v**2 - 338*v - 126. Let x(r) = -7*r**3 + 86*r**2 + 68*r + 25. Let d(o) = -5*m(o) - 24*x(o). Suppose d(k) = 0. What is k?
-1, 15
Let j(f) be the first derivative of -2*f - f**2 + 1/2*f**3 + 1/2*f**4 + 1/10*f**5 - 46. What is r in j(r) = 0?
-2, -1, 1
Let x be (41/(-328) - (-29)/(-24))/(5*3/(-18)). Suppose -2/5*o**2 - 2/5*o**4 + 4/3*o**3 + 8/15 - x*o = 0. Calculate o.
-1, 1/3, 2
Suppose -7*w + 55 = 4*w. Let p(q) = q**3 + 6*q**2 + 8*q. Let c be p(-4). Determine x so that 3/4*x**w + 7/4*x**4 - x**2 + c + 0*x**3 + 0*x = 0.
-2, -1, 0, 2/3
Suppose 35 = 4*q + 3*q. Suppose -3*d - w = -6*d + 31, -q*w - 11 = -3*d. Factor 1 - g**2 + 3*g**2 - d*g + 11 + 6.
2*(g - 3)**2
Let g be 17*5 - (-5 - (-9 - -4)). Let b = g + -16. Solve -17*k**2 - 4*k**3 + b*k**3 + 20*k - 39*k**2 - 30*k**4 - 4*k**2 + 5*k**5 = 0.
0, 1, 2
Let k be (-72)/10*(40544/(-18816) + 2/8). Factor 92/7*m**3 + k*m**4 + 18/7*m - 96/7*m**2 + 18/7*m**5 + 0.
2*m*(m + 3)**2*(3*m - 1)**2/7
Let c(a) be the second derivative of -3/10*a**5 - 1/10*a**6 + 1/14*a**7 + 1/2*a**4 + 0 - 184*a - 3/2*a**2 + 1/2*a**3. Factor c(h).
3*(h - 1)**3*(h + 1)**2
Let j be -4 - ((-87)/2 + 23 - -4). Let -190*a + 348*a**2 - 355/2*a**3 + 32 - j*a**4 = 0. What is a?
-16, 2/5, 1
Let n(t) be the first derivative of 28*t**3/9 - 11056*t**2/3 - 6320*t/3 + 6982. Factor n(p).
4*(p - 790)*(7*p + 2)/3
Let i = -600921/20 + 122517/4. Factor 594/5*x**2 - 486*x - 58/5*x**3 + i + 2/5*x**4.
2*(x - 9)**3*(x - 2)/5
Let h = 5679/22696 - 5/22696. Factor 0 - h*y**3 + 3/2*y**2 + 0*y.
-y**2*(y - 6)/4
Suppose -2*i = -2*a + 6307 - 6325, 4*i + a - 1 = 0. Let 2*j + 3 + 1/4*j**i = 0. What is j?
-6, -2
Let m = 158183 + -790912/5. Factor m*y + 6/5*y**2 + 3/5*y**3 + 0.
3*y*(y + 1)**2/5
Let g(b) = 134 + 27*b + 10 - 18*b - 10*b - 11*b. Let x be g(12). Determine u, given that x - 10/3*u**3 + 4/3*u - 2*u**2 = 0.
-1, 0, 2/5
Let c(z) be the third derivative of 0*z**3 + 0*z + 2 - 21/100*z**6 + 2/105*z**7 + 49/75*z**5 + 343/120*z**4 + 5*z**2 - 1/1680*z**8. Factor c(q).
-q*(q - 7)**3*(q + 1)/5
Let p be 14691/19116 - 1/(-2)*(-18)/12. Let t(g) be the second derivative of -1/9*g**2 - p*g**4 + 0 - 2/27*g**3 + 16*g. Solve t(r) = 0.
-1
Let l(g) be the second derivative of 114*g + 35/2*g**2 + 5*g**3 + 2 - 5/12*g**4. Factor l(p).
-5*(p - 7)*(p + 1)
Factor -9674*w**3 - 288*w**2 + 292 - 44*w**4 + 40*w**4 + 9970*w**3 - 296*w.
-4*(w - 73)*(w - 1)**2*(w + 1)
Factor -46*d + 55 + 121*d + 5*d**2 - 3*d**2 - 135*d + 3*d**2.
5*(d - 11)*(d - 1)
Let o be ((-78)/4)/((-48)/160). Factor 4*y**3 + 15*y**2 + 113 - 64*y - 3*y**2 - o.
4*(y - 2)*(y - 1)*(y + 6)
Let t = 248 - 245. Let y be 18/4 + (-1)/(-2). Factor -6*g**3 - y*g + 9*g**3 + 2*g**t.
5*g*(g - 1)*(g + 1)
Let t = -30 + 24. Let n be (t/(-18))/(28/48). Factor -8/7*p**3 - 10/7*p**2 - 2/7*p**4 - n*p + 0.
-2*p*(p + 1)**2*(p + 2)/7
Let f be 2/((-42)/(-1809)) - (-12)/(-84). What is s in -10*s**4 + 12*s**2 - 81*s**5 - 20*s + 28*s**2 - 6*s**3 + f*s**5 - 9*s**3 = 0?
-2, 0, 1, 2
Let k = 50 - 51. Let o(n) = -n**2 + 1. Let u(j) = 171*j**2 + 312*j + 142. Let x(c) = k*u(c) - 2*o(c). Factor x(y).
-(13*y + 12)**2
Let y(c) be the second derivative of c**5/15 + 9*c**4 + 486*c**3 + 123*c**2/2 + 61*c. Let a(n) be the first derivative of y(n). Factor a(s).
4*(s + 27)**2
Let q(g) be the third derivative of -g**6/180 + 16*g**5/45 - 31*g**4/36 - 1208*g**2. Factor q(x).
-2*x*(x - 31)*(x - 1)/3
Let b be (28/234 - (-78)/(-338))/(2/(-84)). Find i, given that -16/3*i - b*i**3 - 28/3*i**2 - 2/3*i**4 + 0 = 0.
-4, -2, -1, 0
Suppose 431*f - 637 - 3242 = 0. Determine v so that f*v**3 - 4*v**4 - 3*v + 0 - 1/2*v**2 = 0.
-1/2, 0, 3/4, 2
Let h(n) be the second derivative of -n**6/30 - 11*n**5/60 + n**4/6 + 13*n**3 - 94*n. Let x(r) be the second derivative of h(r). Factor x(v).
-2*(v + 2)*(6*v - 1)
Let p = 388 + -389. Let d(x) = -44*x**3 + 16*x**2 - 64*x - 16. Let c(f) = 3*f**3 + f + 1. Let j(g) = p*d(g) - 16*c(g). Let j(r) = 0. Calculate r.
-6, 0, 2
Let x(f) be the second derivative of f**5/80 + 5*f**4/16 + 13*f**3/12 - 223*f. Factor x(d).
d*(d + 2)*(d + 13)/4
Let s = -2366 - -2368. Let h = -21483 + 150742/7. Factor h*w**s + 4/7 + 76/7*w.
(19*w + 2)**2/7
Let y = 1/22846 - -1165141/114230. Factor 24/5 + 3/5*b**3 + 6*b**2 + y*b.
3*(b + 1)**2*(b + 8)/5
Let -2/5*o**3 - 158*o**2 - 77618/5 - 78406/5*o = 0. What is o?
-197, -1
Let i(s) = -s**3 - 24*s**2 - 2*s - 45. Let w be i(-24). Suppose -12*v**w + 40*v**2 + 26*v**2 - 36*v**4 - 62*v + 21*v**5 + 53*v - 24*v**2 - 6 = 0. What is v?
-1, -2/7, 1
Let u = 584 + -21. Find m such that -559 - u + 1122 - 3*m**5 - 108*m**3 + 36*m**4 = 0.
0, 6
Factor 6*l**4 + 4*l**4 + l**3 + l**4 - 4 + 24*l**2 - 17*l**2 - l**5 - 14*l**4.
-(l - 1)**2*(l + 1)*(l + 2)**2
Let t(m) be the third derivative of -4/15*m**5 + 100*m**2 + 0*m + 0 - 98/3*m**3 + 14/3*m**4. Solve t(o) = 0.
7/2
Let t be 375691/430 - 1/15*3. Let u = 874 - t. Determine d, given that u*d**3 + 0*d**2 - 3/2*d + 1 = 0.
-2, 1
Let q = 844 + -772. Let f be 4/4*4*6/q. Suppose f*c - 1/3*c**4 + 1/3*c**2 - 1/3*c**3 + 0 = 0. Calculate c.
-1, 0, 1
Factor 9*w**3 + 7*w**3 + 79*w**2 + 21*w**2 - 1069 - 17718*w + 16150*w + 4717.
4*(w - 4)**2*(4*w + 57)
Let u(f) = -3*f**4 + 113*f**3 - 2905*f**2 - 9741*f - 2. Let i(m) = -25*m**4 + 905*m**3 - 23239*m**2 - 77925*m - 17. Let k(l) = -6*i(l) + 51*u(l). Factor k(q).
-3*q*(q - 57)**2*(q + 3)
Let o(i) = i + 2. Let v(r) = -19*r**2 + 40*r + 12. Let y(m) = 4*o(m) - v(m). Factor y(c).
(c - 2)*(19*c + 2)
Let j = 57659 + -57657. Factor -2/3*c**j + 3*c**3 + 0*c + 0.
c**2*(9*c - 2)/3
Let f(x) = -7*x - 58. Let o be f(-11). Suppose 5*l**3 - 10 - o*l + 14*l - 3*l**4 - 2*l**4 + 15*l**2 = 0. Calculate l.
-1, 1, 2
Suppose 2/9*n**2 + 105800 + 920/3*n = 0. What is n?
-690
Let h = -413 + 416. Let l(p) = -p**2 + 9*p - 18. Let u be l(h). Suppose 3/7*z**3 + 3/7*z**2 + 0*z + u = 0. Calculate z.
-1, 0
Let k(o) be the first derivative of 49*o**3/9 + 112*o**2/3 + 256*o/3 + 1024. Suppose k(y) = 0. What is y?
-16/7
Solve 9/2*d**4 - 744 + 507/2*d**3 + 2034*d - 1548*d**2 = 0 for d.
-62, 2/3, 1, 4
Let s(w) be the first derivative of w**5/25 + 2*w**4/15 - 2*w**3/5 + 58*w + 57. Let d(h) be the first derivative of s(h). Find r, given that d(r) = 0.
-3, 0, 1
Let n be ((-2)/(-4))/((-1)/(-6)). Suppose -c - 4*u = 28 - 38, -8 = -3*c - u. Determine q so that 29*q**2 - q + 46*q + q**c + 5*q**n = 0.
-3, 0
Let r(v) be the second derivative of -v**7/1890 - 23*v**6/540 + v**4/4 - 5*v**3/3 - 2*v + 25. Let i(b) be the third derivative of r(b). Solve i(q) = 0 for q.
-23, 0
Solve 62*f**2 - 12*f + 90*f**4 - 114*f**3 - 26*