 -1, 1
Factor -6*o + 3*o**2 - 12 - 7*o**2 - o - 12*o + 3*o.
-4*(o + 1)*(o + 3)
Let 24/5*r**3 - 92/5*r**2 - 2/5*r**4 - 10 + 24*r = 0. What is r?
1, 5
Let v(m) = -81*m - 12065. Let i be v(-149). Solve -1/2*o**5 - 7*o**2 + 7/2 + o**3 - 1/2*o + 7/2*o**i = 0.
-1, 1, 7
Let j(h) be the third derivative of -h**5/12 - 5*h**4/4 + 35*h**3/6 - 97*h**2. What is y in j(y) = 0?
-7, 1
Suppose 2*o = 6 + 2. Let 17 - o*i + 15 - 40 + 4*i**2 = 0. What is i?
-1, 2
Let z(l) be the first derivative of l**6/9 - 4*l**5/5 + 3*l**4/2 - 8*l**3/9 + 15. Factor z(h).
2*h**2*(h - 4)*(h - 1)**2/3
Let o(u) be the first derivative of 2/3*u + 2/9*u**3 - 21 - 2/3*u**2. Factor o(d).
2*(d - 1)**2/3
Let d be ((-16)/20 - 0) + 1/(-5). Let m be (d - 0) + (-209)/(-95). Factor 0 + m*o**2 + 2/5*o**3 + 4/5*o.
2*o*(o + 1)*(o + 2)/5
Let v be (2 + -5)*(0 - 3/36). Let r(h) be the first derivative of 0*h + 1/2*h**3 - v*h**4 + 5 - 1/4*h**2. Factor r(y).
-y*(y - 1)*(2*y - 1)/2
Suppose 3*a + 4*n + 14 = 0, -2*n - 16 = -a - 2*a. Suppose 2*p - 9 = r, -3 = 2*p + r - a. Factor 0 + 2/7*z**p + 4/7*z.
2*z*(z + 2)/7
Let h(y) be the first derivative of -y**6/7 - 418*y**5/105 - 1315*y**4/42 - 650*y**3/21 + 2024*y**2/21 + 968*y/21 + 372. Determine j, given that h(j) = 0.
-11, -2, -2/9, 1
Let q = -46 + 48. Factor -2 + 15 + 2*i + 14*i + 4*i**q + 3.
4*(i + 2)**2
Suppose 2*j + 2 = 2*c, -3 = j - 3*c - 0. Suppose -5*x = k + 5, -k - k - 2 = 2*x. Solve j + 1/3*w**2 + k*w = 0 for w.
0
Let d(i) be the third derivative of 1/12*i**4 + 0*i**3 - 26*i**2 + 0 + 4/15*i**5 + 0*i. Factor d(q).
2*q*(8*q + 1)
Let t = 49459/7 - 7065. Factor -2/7 + 0*s**2 + 2/7*s**4 + 4/7*s**3 - t*s.
2*(s - 1)*(s + 1)**3/7
Determine b, given that -1/2*b**5 - 2*b**2 + 1 - 1/2*b + b**4 + b**3 = 0.
-1, 1, 2
Let y(b) be the third derivative of -b**5/140 - 153*b**4/28 - 23409*b**3/14 - 39*b**2 - 2*b. Find a, given that y(a) = 0.
-153
Let o(l) be the third derivative of -l**5/20 - 5*l**4/8 - 40*l**2. Let o(g) = 0. Calculate g.
-5, 0
Let g(v) be the first derivative of 5 + 2*v + 2*v**2 + 2/3*v**3. What is l in g(l) = 0?
-1
Let k be -7 - (-10)/15*15. Let d(v) be the second derivative of -1/45*v**6 + 2*v + 1/15*v**5 + 0*v**2 - 2/9*v**k + 1/18*v**4 + 0. Suppose d(r) = 0. Calculate r.
-1, 0, 1, 2
Let l = -1827/2 + 914. Factor -5/2*j**2 + j - 1/2*j**5 + 3/2*j**3 + 0 + l*j**4.
-j*(j - 1)**3*(j + 2)/2
Let r be 85/2 - -2 - (-1 + 0). Let y = r + -44. Factor -3/2*d**5 + 3*d**3 - 3/2 - y*d - 3/2*d**4 + 3*d**2.
-3*(d - 1)**2*(d + 1)**3/2
Let w(h) be the first derivative of -2*h**5/25 - 3*h**4/10 + 22*h**3/5 + 11*h**2 - 120*h - 419. Find i, given that w(i) = 0.
-5, 3, 4
Factor -62*s + 18*s**3 + 14*s**2 - 65*s + 191*s - 68*s.
2*s*(s + 1)*(9*s - 2)
Let q(h) be the third derivative of -4*h**7/35 - 13*h**6/30 + 8*h**5/3 - 17*h**4/6 - 8*h**3/3 - 2*h**2 + 21. Suppose q(c) = 0. What is c?
-4, -1/6, 1
Let q(c) be the second derivative of -12*c**2 + 0 + 1/14*c**7 + 14*c**3 - c - 19/2*c**4 - 4/5*c**6 + 15/4*c**5. Factor q(b).
3*(b - 2)**3*(b - 1)**2
Let o(j) = j**3 - 73*j**2 - 233*j + 382. Let a be o(76). Find b, given that 10/9*b + 2/9*b**a + 4/3 = 0.
-3, -2
Suppose 0 = -4*i + 3*i + 2*l + 14, -l + 20 = 4*i. Let h be ((-24)/15)/(i/(-15)). Let -3*w**4 + 9*w**4 - h*w**4 - 2*w**2 = 0. Calculate w.
-1, 0, 1
Let l(w) be the first derivative of w**6/42 + 4*w**5/35 + w**4/7 - 198. Factor l(r).
r**3*(r + 2)**2/7
Let i = -128 + 128. Let w be i*(-3)/(-18) - 4/(-2). Determine o, given that -16/5*o**w + 4/5*o**3 - 8/5 + 4*o = 0.
1, 2
Let b be ((-42)/4 + 11)*1. Solve -3/2*r - 1/2 - b*r**3 - 3/2*r**2 = 0 for r.
-1
Let o(a) = -7*a**3 - 37*a**2 - 77*a + 73. Let f(g) = 9*g**3 + 35*g**2 + 78*g - 74. Let k(j) = -5*f(j) - 6*o(j). Find y such that k(y) = 0.
-2, 2/3, 17
Let f be 15/(-140)*-6*21/18. Let q(t) be the first derivative of 2 - f*t**4 + 0*t**2 + t**3 + 0*t. Solve q(r) = 0 for r.
0, 1
Let s(l) be the first derivative of 3/4*l**4 - 15/2*l**2 - 9*l - l**3 - 14. Determine q so that s(q) = 0.
-1, 3
Factor -4 - 177*w**3 - 172*w**2 + 25*w**2 + 4 + 174*w**3.
-3*w**2*(w + 49)
Let p = 33 + -18. Suppose 8*w - p = 3*w. Factor -1/3*i**w + 0 - 1/3*i**2 + 0*i.
-i**2*(i + 1)/3
Let m be 2/7 + 57/21. Suppose 9 = 6*q - m. Factor 4*f**3 - 8*f**q + 20*f - 8 + 6*f**2 - 14*f**2.
4*(f - 2)*(f - 1)**2
Let r(t) be the second derivative of -1/4*t**5 - 5/3*t**3 + 0 + 4*t - 5/4*t**4 + 0*t**2. Suppose r(p) = 0. What is p?
-2, -1, 0
Let s = 305272/9 - 33919. Solve -2/3*b**2 + 1/3 - 1/9*b**5 + 1/3*b**4 + 2/9*b**3 - s*b = 0.
-1, 1, 3
Let b(l) be the first derivative of -3 + 2*l**2 - 4/3*l**3 + 0*l. Find p such that b(p) = 0.
0, 1
Suppose 0 = -3*h - z - 4*z, h = z. Suppose h = -y - 3*y + 64. Find f, given that 16*f**2 + y*f - 3*f**5 + 92*f**4 - 12*f**3 - 18*f**5 - 100*f**3 = 0.
-2/7, 0, 2/3, 2
Let f be ((-126)/105)/((-3)/5). Factor 0*h**f + 4*h**2 + 19*h**4 - 4*h**5 - 12*h**3 - 7*h**4.
-4*h**2*(h - 1)**3
Let z(u) = 10*u**3 - 3*u**2 - 6*u + 3. Let m(x) = 30*x**3 - 9*x**2 - 19*x + 9. Let a(o) = 4*m(o) - 11*z(o). Factor a(g).
(g - 1)*(g + 1)*(10*g - 3)
Let c(m) = 149*m**3 + 175*m**2 - 222*m + 48. Let p(d) = -148*d**3 - 174*d**2 + 220*d - 48. Let u(w) = -6*c(w) - 5*p(w). Find q, given that u(q) = 0.
-2, 2/7, 6/11
Let t(v) = -3*v**3 + 8*v**2 - 4*v + 4. Let g(x) = -8*x**3 + 4*x**3 + 9*x**2 + 1 + 4 - x - 4*x. Let q(b) = 4*g(b) - 5*t(b). Factor q(c).
-c**2*(c + 4)
Let p(h) = 9*h**2 - 20*h + 6. Let b be p(6). Let m be (20/b)/((-3)/(-7)). Suppose 2/9*d + 4/3*d**2 - 4/9*d**4 - 4/9 + m*d**3 = 0. What is d?
-1, 1/2, 2
Let r(s) be the third derivative of s**9/665280 + s**8/73920 + 3*s**5/10 + 15*s**2. Let l(i) be the third derivative of r(i). Factor l(f).
f**2*(f + 3)/11
Let a(p) be the second derivative of -1/10*p**6 + 0*p**2 + 0*p**3 - 9/5*p**5 + 0 - 9*p**4 + 5*p. Determine s, given that a(s) = 0.
-6, 0
Suppose -2*a - 4*b + 10 + 4 = 0, 0 = a + 4*b - 11. Let p(y) be the first derivative of -a + 0*y - 1/2*y**2 + 0*y**3 + 1/4*y**4. Factor p(f).
f*(f - 1)*(f + 1)
Let f(w) = -w**2 + 5*w - 5. Let g be f(4). Let r be ((-3)/g)/(-6)*-6. Solve 0*m**3 + m**r - 3*m**5 + 4*m**3 - 2*m**3 = 0.
-1, 0, 1
Let q(p) = p**3 - 7*p**2 + 3*p - 1. Let f be q(7). Factor 22*t**3 + 9 + 0 - 6*t**2 - 1 - f*t**3.
2*(t - 2)**2*(t + 1)
Let h = 659/4012 + -11/236. What is w in 128/17 + h*w**2 + 32/17*w = 0?
-8
Let b(w) = 239*w**3 + 238*w**2 - 476*w + 14. Let u(f) = -240*f**3 - 240*f**2 + 476*f - 16. Let k(y) = -4*b(y) - 3*u(y). What is l in k(l) = 0?
-2, 1/59, 1
Let k(v) be the first derivative of 2*v**3/27 - 17*v**2/9 + 32*v/9 - 60. Factor k(t).
2*(t - 16)*(t - 1)/9
Let p(g) be the third derivative of -g**5/5 + 43*g**4/12 - 7*g**3/3 - 144*g**2. Factor p(j).
-2*(j - 7)*(6*j - 1)
Let s = -74 - -124. Let p be ((-28)/(-70))/(2/s). Find x such that p*x**2 + 4*x + 2*x - 3 - 1 = 0.
-1, 2/5
Let s(n) be the third derivative of 0 - 1/102*n**5 - 27*n**2 + 8/51*n**3 + 0*n - 3/34*n**4. Suppose s(y) = 0. Calculate y.
-4, 2/5
Let v be (6 - (-68)/(-12))/1. Let g(f) be the second derivative of 1/2*f**2 + 1/12*f**4 - f + v*f**3 + 0. What is n in g(n) = 0?
-1
Let a = -51 - -54. Factor 4*t**2 - 1 + 17*t**3 + 1 - 15*t**a.
2*t**2*(t + 2)
Let p be (-3)/(-2) + 21/(-14). Suppose u + u = p. Factor 12*f - 5*f**2 - 7*f**2 - 4 + 4*f**3 + u*f**2.
4*(f - 1)**3
Let t(p) be the third derivative of 5/3*p**3 + 1/24*p**6 + 0*p**5 + p**2 + 0*p - 5/8*p**4 + 0. Suppose t(q) = 0. Calculate q.
-2, 1
Suppose 4 = y - 0. Determine p so that -4*p**2 + y*p**4 + 0*p**3 - 2*p**3 - p**5 + 3*p**5 = 0.
-2, -1, 0, 1
Let -15 + 354*q - 15*q**4 + 7 + 20*q**3 - 10 + 19*q**3 + 33*q**2 - 393*q = 0. What is q?
-1, -2/5, 1, 3
Let p(b) be the second derivative of -b**5/20 - 5*b**4/6 + 5*b**3/6 + 3*b**2/2 - 16*b. Let u(v) = -v**2. Let g(o) = 2*p(o) - 22*u(o). Factor g(w).
-2*(w - 3)*(w + 1)**2
Let b(a) be the second derivative of -a**4/6 - 8*a**3/3 - 7*a**2 + a + 8. Factor b(c).
-2*(c + 1)*(c + 7)
Suppose g - 418 = 2*v, -2*v + 3*g - 43 = 379. Let w = -70 - v. Factor -c**5 - 138*c - 4*c**3 + w*c - 3*c**5 + 8*c**4.
-4*c**3*(c - 1)**2
Let r(j) be the second derivative of 9*j**5/5 + 13*j**4 + 80*j**3/3 + 24*j**2 + 89*j. Suppose r(l) = 0. Calculate l.
-3, -2/3
Let f(r) be the third derivative of -r**9/7560 + r**8/1680 - 2*r**4/3 - 17*r**2. Let x(y) be the second derivative of f(y). Factor x(s).
-2*s**3*(s - 2)
Let m(b) be the fi