1, 3/2
Let w(o) be the first derivative of 0*o - 1/6*o**4 + 2/3*o**3 - 2/3*o**2 - 14. Factor w(r).
-2*r*(r - 2)*(r - 1)/3
Let y(u) be the first derivative of -u**3/4 + 21*u**2/2 + 49. Factor y(q).
-3*q*(q - 28)/4
Find f such that 2*f**2 - 77*f - 20 - 95*f + 190*f = 0.
-10, 1
Suppose 35*v = 192 - 52. Let u(z) be the third derivative of 1/1155*z**7 + 0*z**v + z**2 + 0*z + 0 + 0*z**3 + 0*z**6 - 1/330*z**5. Factor u(q).
2*q**2*(q - 1)*(q + 1)/11
Solve 3*x**4 + 165*x**3 + 0*x**2 + 3*x + 0*x**4 - 168*x**3 - 3*x**2 = 0 for x.
-1, 0, 1
Let f(t) be the second derivative of 2*t**7/147 + 8*t**6/35 + t**5 - 4*t**4/7 - 24*t**3/7 + 562*t. Let f(j) = 0. Calculate j.
-6, -1, 0, 1
Suppose -5*t = -3*j - 27, -2*t - j - 14 = 4*j. Factor 18*b**5 + 12*b**4 - 3*b + 12*b**2 - 32*b**5 - 18*b**t + 11*b**5.
-3*b*(b - 1)**4
Let -187/7*y - 1/7*y**2 - 186/7 = 0. Calculate y.
-186, -1
Suppose 5*n + 108 = 8*n. Let a be n/32*((-14)/(-6) + -1). Factor 12 - 21/2*t**3 + 27*t**2 - 30*t + a*t**4.
3*(t - 2)**3*(t - 1)/2
Let s(j) be the third derivative of -j**5/180 + 37*j**4/36 - 3*j**2 - 38. Determine o, given that s(o) = 0.
0, 74
Suppose -2*x - 1/3*x**4 - 2*x**3 - 11/3*x**2 + 0 = 0. Calculate x.
-3, -2, -1, 0
Suppose 292 = 140*q - 84*q + 12. Factor -3/7*m**q + 6/7*m**4 + 0*m**2 + 0 + 0*m + 0*m**3.
-3*m**4*(m - 2)/7
Factor -18*q**2 + 21*q + 0*q - 2 - 24*q**2 - 12*q**2 + 0.
-(6*q - 1)*(9*q - 2)
What is v in -3/4*v**4 + 0*v**2 + 0 - 21/4*v**3 + 0*v = 0?
-7, 0
Let t(y) be the third derivative of -y**8/560 - y**7/105 - y**6/45 - y**5/15 - 15*y**2. Let d(z) be the third derivative of t(z). Let d(h) = 0. What is h?
-2/3
Let m be 345/90 - 1/(-6). Let x(z) be the first derivative of 1/16*z**m - 1/12*z**3 + 8 + 0*z + 0*z**2. Solve x(p) = 0 for p.
0, 1
Let n(m) = 2*m**2 + 3*m - 1. Let g be n(1). Factor 16*i**4 - 12*i**3 - 24*i + g - 36*i**3 + 20*i**2 + 32*i**2.
4*(i - 1)**2*(2*i - 1)**2
Let q(m) be the third derivative of m**6/280 - m**5/20 + m**4/7 + 8*m**3/7 + 57*m**2 + m. Find h such that q(h) = 0.
-1, 4
Let k(p) be the second derivative of -p**4/6 + 26*p**3/3 - 29*p + 2. Determine r, given that k(r) = 0.
0, 26
Let a = 75/608 - -1/608. Solve -1/8*w**2 - a + 1/4*w = 0.
1
Suppose 5*u = -u + 18. Factor 74*o**u + 9*o**4 + 56*o**2 + 11*o**5 - 2*o**4 + 2 + 39*o**4 + 19*o.
(o + 1)**4*(11*o + 2)
Let u = -3267/28 + 822/7. Let -3/4*v**3 - u*v**4 + 0*v + 3/4*v**2 + 3/4*v**5 + 0 = 0. What is v?
-1, 0, 1
Let g = 15943 - 111557/7. Solve -g*n**3 + 4/7*n**4 + 4/7 - 8/7*n**2 + 22/7*n**5 + 22/7*n = 0 for n.
-1, -2/11, 1
Let x(p) = 6*p**3 + 20*p**2 + 44*p + 36. Let y = 87 + -91. Let g(n) = -n**3 - n**2 - n - 1. Let c(h) = y*g(h) - x(h). Factor c(m).
-2*(m + 2)**2*(m + 4)
Let v(u) = -160*u**3 + 2*u**2 - 4*u + 2. Let q be v(1). Let n = 484/3 + q. Factor 0*p**2 - 2*p + 2/3*p**3 - n.
2*(p - 2)*(p + 1)**2/3
Let t(k) be the second derivative of k**8/26880 + k**7/2016 + k**6/960 - 3*k**5/160 + 3*k**4/4 - 20*k. Let h(y) be the third derivative of t(y). Factor h(u).
(u - 1)*(u + 3)**2/4
Let z be 4*-1 + 3/(-27)*(-97 + 5). Factor -76/9*g**2 + 50/9*g**3 - 16/9 - 16/9*g**4 + 2/9*g**5 + z*g.
2*(g - 2)**3*(g - 1)**2/9
Factor -372/5*n + 11532/5 + 3/5*n**2.
3*(n - 62)**2/5
Let y(w) = w - 1. Suppose 4*v + 4*a + 28 = 0, a + 3*a + 8 = 0. Let c(q) = q**2 - 6*q + 5. Let k(d) = v*c(d) - 10*y(d). Factor k(j).
-5*(j - 3)*(j - 1)
Let w(s) = 30*s**3 - 303*s**2 - 210*s - 33. Let c(n) = n**3 + n**2 + n + 1. Suppose 0*a - z = 3*a - 6, 3*z + 6 = -a. Let j(i) = a*c(i) - w(i). Factor j(r).
-3*(r - 12)*(3*r + 1)**2
Let h = 238 + -229. Let m(p) be the third derivative of 1/12*p**3 + 0*p + 1/40*p**5 + 1/16*p**4 + 1/240*p**6 + h*p**2 + 0. Solve m(n) = 0 for n.
-1
Suppose 2*t - t = 5. Determine y, given that 18*y**5 - 27*y**4 - 23*y**5 + 22*y**4 + 5*y**2 + t*y**3 = 0.
-1, 0, 1
Suppose -8*q + 60 = -4*q. Let o be (15/125)/(2 - 27/q). Factor 0 + 9/5*a**3 + 3/5*a + o*a**4 + 9/5*a**2.
3*a*(a + 1)**3/5
Suppose -5*z + 3*f + 37 = 0, -8 = -5*z + 4*f + 33. Find s, given that -10*s**4 - 2*s**2 + 361*s**5 + 2*s**2 - 366*s**z - 5*s**3 = 0.
-1, 0
Factor 2/3*g**3 + 0 - 2/3*g + 0*g**2.
2*g*(g - 1)*(g + 1)/3
Factor -6/5*q**3 - 63/5 + 3/5*q**4 - 84/5*q**2 - 138/5*q.
3*(q - 7)*(q + 1)**2*(q + 3)/5
Suppose 116*p = 117*p + 2. Let v be (24/14)/(p/(-7)). Factor -2/5*i**3 + 14/5*i**2 - v*i + 18/5.
-2*(i - 3)**2*(i - 1)/5
Suppose 3*i - 10 = 5*q, 242*q = -7*i + 246*q + 8. Determine x so that 2/17*x**4 + i*x**2 + 0 + 4/17*x**3 + 0*x - 2/17*x**5 = 0.
-1, 0, 2
Let v(o) = -o - 6. Suppose 0 = -5*k - 18 - 32. Let j be v(k). Solve t**j - 5*t**3 + 2*t**3 + 0*t**5 + 5*t**4 - 3*t**5 = 0 for t.
0, 1
Let j(g) = g**4 - g**3 - 2*g. Let y(k) = 6*k**4 + 42*k**3 + 42*k**2 - 6*k - 24. Let l(s) = 3*j(s) + y(s). Factor l(v).
3*(v + 1)*(v + 2)**2*(3*v - 2)
Let f(c) = -8*c**2 - 9*c + 11 - 3 + 7*c**2. Let m(a) = a**2 + a + 1. Let u(d) = -2*f(d) - 4*m(d). Let u(j) = 0. What is j?
2, 5
Let m = 1560 - 1556. Let n(y) be the third derivative of 10*y**2 + 0*y**3 + 1/54*y**m + 0*y + 0 + 1/270*y**5. Find j such that n(j) = 0.
-2, 0
Let k be ((-15)/(-6))/(20/16). Let z be ((-165)/78 - -2)/(6/(-16)). Factor z + 2/13*x**k + 6/13*x.
2*(x + 1)*(x + 2)/13
What is l in -1561*l**2 + 1825754 - 7680595 - 23*l**2 + l**3 + 209088*l + 3*l**3 - 3345031 = 0?
132
Let k be 3 + -5 + (1 + -1 - -10). Let m be k*((-2)/1)/(-36). Factor 8/3*u**3 - m*u - 2/3*u**2 + 0 - 14/9*u**4.
-2*u*(u - 1)**2*(7*u + 2)/9
Let r be (-1)/6 - 57/(-18). Suppose r*l = -5*l. Factor -1/4*s**4 - 1/4*s**3 + l + 0*s + 1/2*s**2.
-s**2*(s - 1)*(s + 2)/4
Let 56*r**2 + 15*r + 55*r**2 + 58*r**2 - 164*r**2 + 10 = 0. What is r?
-2, -1
Let o(i) be the second derivative of -1/168*i**7 + 0*i**3 - 1/48*i**4 + 0 + 0*i**2 - 3/80*i**5 - 1/40*i**6 + 3*i. Solve o(t) = 0.
-1, 0
Let a = -19350 - -19354. Let -6561/5*j - 1/5*j**5 - 486/5*j**3 - 36/5*j**a + 0 - 2916/5*j**2 = 0. What is j?
-9, 0
Let c(o) be the second derivative of -8*o + 3*o**2 + 1/3*o**4 + 1/15*o**5 - 2*o**3 + 0. Let k(m) be the first derivative of c(m). Solve k(g) = 0.
-3, 1
Let f(n) be the first derivative of -n**3/4 - 3*n**2/8 + 15*n - 146. Determine k, given that f(k) = 0.
-5, 4
Let o(j) be the first derivative of -j**5 + 35*j**4/4 - 10*j**3 + 378. Suppose o(t) = 0. Calculate t.
0, 1, 6
Let x(t) be the first derivative of -t**6/120 - t**5/20 + 3*t**4/8 - 13*t**3/3 - 9. Let m(z) be the third derivative of x(z). Let m(k) = 0. What is k?
-3, 1
Suppose -274*p + 299*p - 75 = 0. Factor -276/5*b - 96/5 - 36*b**2 + 27/5*b**p.
3*(b - 8)*(3*b + 2)**2/5
Let y(o) = -24*o**5 + 14*o**4 + 26*o**3 - 28*o**2 + 14*o + 14. Let k(b) = b**5 - 2*b**4 - b**3 + 2*b**2 - b - 1. Let i(v) = 28*k(v) + 2*y(v). Factor i(z).
-4*z**3*(z + 2)*(5*z - 3)
Let l(i) be the second derivative of i**4/132 - 43*i**3/66 + i + 313. Factor l(z).
z*(z - 43)/11
Let x(i) be the first derivative of -i**6/30 - 8*i**5/25 + 21*i**4/10 - 68*i**3/15 + 47*i**2/10 - 12*i/5 - 206. Factor x(n).
-(n - 1)**4*(n + 12)/5
Let q(k) = -6*k**4 + 12*k**3 + 3*k**2 + 8*k - 7. Let w(f) = -f**4 + 2*f**3 + f**2 - 1. Let p(s) = -5*q(s) + 35*w(s). Factor p(z).
-5*z*(z - 2)**2*(z + 2)
Let p(q) = -q**5 - 16*q**4 - 61*q**3 - 84*q**2 - 38*q - 2. Let i(w) = -w**4 - w - 1. Let u(j) = 2*i(j) - p(j). Find m such that u(m) = 0.
-6, -1, 0
Let p(b) be the third derivative of -b**7/315 - 4*b**6/45 + 2*b**5/45 + 16*b**4/9 - 25*b**2. Solve p(t) = 0 for t.
-16, -2, 0, 2
Let h(i) be the first derivative of -30*i + 6*i**3 + 31 - 9/2*i**2 - 3/4*i**4. Factor h(n).
-3*(n - 5)*(n - 2)*(n + 1)
Let z(d) = -1 + 4 - 4*d**2 - 6 + 7*d**2. Let w(b) = 2*b**2 - 2. Let v(c) = -4*w(c) + 3*z(c). Factor v(a).
(a - 1)*(a + 1)
Let q(x) be the third derivative of 0 + 0*x + 1/30*x**5 - x**3 + 1/6*x**4 - 5*x**2. Factor q(u).
2*(u - 1)*(u + 3)
Suppose 5*b = 9*b - 176. Factor -59*u**3 - b*u**2 - 15*u + 3*u + 52*u**3.
-u*(u + 6)*(7*u + 2)
Let d be 1*15/(-35) + (-126)/(-98). Suppose 4 = -4*q, 7*g - 3*g = -4*q + 4. Factor -3/7 + d*h - 3/7*h**g.
-3*(h - 1)**2/7
Let z be -5 - 18/(-4) - (49/(-14))/7. Suppose z*v - 8/5*v**2 + 4/5*v**3 + 0 = 0. Calculate v.
0, 2
Let h be 3 + 25/(-9) - (-4)/(-18). Let d(c) be the first derivative of h*c - 10/3*c**3 - 2*c**2 - 2/5*c**5 - 1 - 2*c**4. Factor d(w).
-2*w*(w + 1)**2*(w + 2)
Let r(q) = -q - 25. Let h be r(-27). Suppose h*i + 4 = -4*y, 2*i = 6*y - 5*y - 4. Factor -1/2*z*