 0, 1
Let t(c) be the first derivative of -3*c**5/5 - 3*c**4/4 + c**3 + 3*c**2/2 - 36. Factor t(h).
-3*h*(h - 1)*(h + 1)**2
Let m be (-36)/(-28)*(-249)/(-3). Let t = 107 - m. Suppose -2/7*k**2 + 0*k + t*k**4 + 0*k**3 + 0 = 0. What is k?
-1, 0, 1
Let y(k) be the first derivative of -2*k**6/3 + 12*k**5/5 - 2*k**4 - 5. Determine g so that y(g) = 0.
0, 1, 2
Find u, given that 0*u**3 + 2/3*u**5 + 8/3*u**4 + 0 - 32/3*u - 32/3*u**2 = 0.
-2, 0, 2
Let o(i) = 4*i**4 - 2*i**3 + 5*i - 4. Let s(u) = -5*u**4 + 2*u**3 - u**2 - 4*u + 4. Let v(y) = -4*o(y) - 3*s(y). Factor v(x).
-(x - 2)*(x - 1)**2*(x + 2)
Determine o so that 0*o + 2/15*o**4 + 0 + 0*o**3 + 0*o**2 - 2/15*o**5 = 0.
0, 1
Let m be (1/1)/(35/14). Factor -8/5 - 8/5*y - m*y**2.
-2*(y + 2)**2/5
Let w(a) = 7*a**3 + 7*a**2 + 3*a - 2. Let y(o) = 4*o**3 + 4*o**2 + 2*o - 1. Let z(q) = 6*w(q) - 10*y(q). Solve z(b) = 0 for b.
-1, 1
Solve -3/4*f**4 - 12 + 6*f**2 + 0*f + 0*f**3 = 0.
-2, 2
Let n = -3 - -41. Let q = n - 36. Factor -10/7*a**q - 2*a**3 + 4/7*a + 0.
-2*a*(a + 1)*(7*a - 2)/7
Let n be 2*(1 + 0 + 0). Let p be (-10)/55*(7 + -8). Factor -2/11*f + 0 + 0*f**n + p*f**3.
2*f*(f - 1)*(f + 1)/11
Suppose 3*z + 1 - 4 = 0. Let p be z - 9/(2 + -5). Find l, given that -2*l**3 - l**2 - 3 + l + l**3 + p = 0.
-1, 1
Find y, given that -67*y**2 + 62*y**2 - y - 4*y + 30 = 0.
-3, 2
Suppose 2*f**2 + f**3 + 0*f**3 - f**2 = 0. What is f?
-1, 0
Let r be 6/39 - 8/(-117). Let o = -83 - -749/9. Factor 0 - r*s - o*s**3 - 4/9*s**2.
-2*s*(s + 1)**2/9
What is w in 1/3*w**2 + w - 1/3*w**4 + 0 - w**3 = 0?
-3, -1, 0, 1
Let g(d) be the first derivative of 1/8*d**2 + 1/6*d**3 - 1/24*d**6 + 0*d - 2 - 1/10*d**5 + 0*d**4. Let g(u) = 0. Calculate u.
-1, 0, 1
Let v be (1 - 0/(-5))*-2. Let l(o) = 6*o - 14 + 2*o - 7*o**2 + 1. Let a(f) = -3*f**2 + 4*f - 6. Let x(y) = v*l(y) + 5*a(y). Solve x(g) = 0 for g.
2
Let l = 701/285 - 29/19. Find b, given that -4/15*b + 0 - l*b**2 + 4/15*b**3 + 14/15*b**4 = 0.
-1, -2/7, 0, 1
Let h be (-43)/(-72) + 7/(280/(-15)). Factor -h*t**2 + 0 + 2/3*t.
-2*t*(t - 3)/9
Let u(w) be the third derivative of w**6/192 + 11*w**5/160 + w**4/12 - w**3/4 + 8*w**2. Find q, given that u(q) = 0.
-6, -1, 2/5
Let g = 20 - 13. Let n be 2/(-7) + 51/g. Suppose 2*x**2 - n*x**3 + 3*x**3 + 5*x**4 - 4*x**4 + x**4 = 0. What is x?
0, 1
Let i(r) be the second derivative of r**8/10080 - r**6/2160 + r**3/6 - 3*r. Let q(y) be the second derivative of i(y). Factor q(u).
u**2*(u - 1)*(u + 1)/6
Let o(b) be the second derivative of -b**5/80 + b**4/16 - b**3/8 + b**2/8 - 24*b. Let o(n) = 0. Calculate n.
1
Let y = -20 - -22. Solve 2*o - o**2 + 2*o**2 - 3*o**y + 4 = 0.
-1, 2
Let x(o) = -24*o**3 + 24*o**2 + 16*o + 4. Let s(a) = a**3 - a**2 - 1. Let n(f) = 20*s(f) + x(f). Factor n(r).
-4*(r - 2)*(r - 1)*(r + 2)
Let j = 48/5 + -177/20. Let q(n) be the third derivative of -9/20*n**6 - j*n**4 + 9/10*n**5 + 0*n + 0 + 1/3*n**3 - 2*n**2. Factor q(x).
-2*(3*x - 1)**3
Let l = -1/79 - -161/237. What is q in 10*q + l + 250/3*q**3 + 50*q**2 = 0?
-1/5
Let a be ((-17)/(-6) + -3)/(15/(-1)). Let d(q) be the third derivative of 0 + 0*q - 1/9*q**4 - 2*q**2 + a*q**5 + 4/9*q**3. Factor d(f).
2*(f - 2)**2/3
Solve 0*d + 16*d**5 + 20*d**2 - 32*d**4 + 4*d**3 + 0*d + 2*d - 6*d - 4 = 0 for d.
-1/2, 1
Let y = 8 - 3. Suppose 4*z + 11 = y*r - 9, -2*r + 8 = 2*z. Suppose -2 - 4*o - 5*o**2 - o**4 + z*o**3 - o**2 - 4*o**3 + 1 = 0. What is o?
-1
Let s(i) be the second derivative of 0 + 1/54*i**4 - 1/9*i**2 - 2*i + 0*i**3. Factor s(p).
2*(p - 1)*(p + 1)/9
Let d be (8 - 8)/((-4)/(-1)). Let z(a) be the third derivative of -1/240*a**5 + 1/24*a**3 - a**2 + 0 + 1/96*a**4 + d*a - 1/480*a**6. Find g such that z(g) = 0.
-1, 1
Let w be (-33)/(-9) + 3/9. Find f such that -2*f**3 - 3*f**4 - w*f**3 + f**4 + 4*f**3 = 0.
-1, 0
Let g = -2/5 + 3/5. Let z(d) be the first derivative of 6/5*d + 2 + 3/10*d**2 - g*d**3. Factor z(t).
-3*(t - 2)*(t + 1)/5
Let j = -83789/105 - -798. Let d(i) be the third derivative of 0*i**4 + 0*i**5 + i**2 + 0*i**3 + 1/60*i**6 - j*i**7 + 0 + 0*i. Factor d(o).
-2*o**3*(o - 1)
Let c be 8/28*5/5. Factor c*q**3 + 0 - 8/7*q**2 + 8/7*q.
2*q*(q - 2)**2/7
Suppose 0 = 3*f + 15, i - 6 = 2*f + 6. Suppose 0*n = -4*v + 2*n + 8, -i*v - 4 = 3*n. Factor q**2 - v + 0 + 3*q + 3.
(q + 1)*(q + 2)
Let l(p) be the third derivative of 2/5*p**5 + 0*p + 1/3*p**4 + 0 + 3/20*p**6 + 0*p**3 + 2*p**2. Factor l(w).
2*w*(3*w + 2)**2
Let v(w) be the second derivative of -w**5/60 + w**3/6 + w**2/3 + 6*w + 2. Factor v(s).
-(s - 2)*(s + 1)**2/3
Let s(i) be the third derivative of i**7/210 - 4*i**2. What is m in s(m) = 0?
0
Factor -4*i - 3 - 2 + 1 - i**2.
-(i + 2)**2
Let u be (-2)/(-11) + 4/11*5. Let a be (-2)/(-3) - 70/(-21). Factor 4/3*v**3 - 1/3 + 4/3*v - 1/3*v**a - u*v**2.
-(v - 1)**4/3
Determine c, given that -2400*c**3 + 20*c - 22*c + 640*c**2 - 35*c**5 + 2*c + 570*c**4 = 0.
0, 2/7, 8
Factor 1/3*r**4 + 0*r**2 + 2/3*r**3 - 1/3 - 2/3*r.
(r - 1)*(r + 1)**3/3
Determine m, given that -m**2 - 5*m + 10 - m**2 - 12 + m = 0.
-1
Let j(t) = -t**3 - 7*t**2 - 7*t - 4. Let v be j(-6). Factor 0*a**4 + 2*a**4 - a - 4*a**5 + 0*a**4 - 2*a**v + 5*a**5.
a*(a - 1)*(a + 1)**3
Let p(s) = 2*s**2 - 9*s - 7. Let v(i) = -i**2 + 5*i + 4. Let a(b) = -4*p(b) - 7*v(b). Factor a(r).
-r*(r - 1)
Let d(p) be the first derivative of 14*p**5/5 + 8*p**4 + 22*p**3/3 + 2*p**2 + 63. Factor d(k).
2*k*(k + 1)**2*(7*k + 2)
Let p(f) = -6*f**2 + 6*f. Let k(v) be the third derivative of v**5/12 - 5*v**4/24 - 3*v**2. Let o(g) = 4*k(g) + 3*p(g). Factor o(l).
2*l*(l - 1)
Let b be 3/14 - (-2)/7. Let n(r) = r**3 + 10*r**2 + 8*r - 7. Let t be n(-9). Factor -b - 1/2*v**t - v.
-(v + 1)**2/2
Let t(v) = 8*v**2 - 12*v - 4. Let f(k) = 7*k**2 - 11*k - 3. Let h(l) = 4*f(l) - 3*t(l). Find s such that h(s) = 0.
0, 2
Let d(k) = 5*k**2 - k + k**2 + 0*k**2 - 1 - 5*k**2 - 3*k**3. Let l(t) = t**3 - t + 1. Let y(q) = 3*d(q) + 12*l(q). Factor y(c).
3*(c - 1)**2*(c + 3)
Let y be ((-2)/(-18))/(25/100). Let z(t) be the first derivative of 3 - y*t - 1/3*t**2 - 2/27*t**3. Let z(f) = 0. Calculate f.
-2, -1
Let v(g) be the first derivative of 1/2*g**3 + 5 - 3/2*g**2 + 3/2*g. Factor v(p).
3*(p - 1)**2/2
Let h be 0 - (1 - 15/(0 + 5)). Factor 2*l**h + 2/5 + 12/5*l.
2*(l + 1)*(5*l + 1)/5
Let x(q) = -q - 4. Let v be x(-4). Suppose -l = -2 - 0. Factor 14/9*r**l - 4/9*r + v - 10/9*r**3.
-2*r*(r - 1)*(5*r - 2)/9
Factor 2/13*t**2 + 6/13 - 8/13*t.
2*(t - 3)*(t - 1)/13
Let -1 - 1/4*i**3 + 1/4*i**2 + i = 0. What is i?
-2, 1, 2
Let u(n) = 64*n**2 + 320*n + 260. Let t(a) = -a**3 - 65*a**2 - 320*a - 259. Let y(c) = -4*t(c) - 3*u(c). Factor y(h).
4*(h + 1)*(h + 8)**2
Let p(s) be the second derivative of -3*s - 1/4*s**2 + 1/6*s**3 + 0 - 1/24*s**4. Find j such that p(j) = 0.
1
Let x = 7 + 0. Suppose x*v**2 + 3*v + 4*v - 3*v**2 + v = 0. What is v?
-2, 0
Let t = 10 - 5. Let u = -2 - -2. Solve 1 - 3*b + 2*b**2 - 5*b**4 + u*b**4 + b**t + 2*b**3 + 2*b**4 = 0 for b.
-1, 1
Suppose -1/3*z + 1/3*z**4 + z**2 + 0 - z**3 = 0. Calculate z.
0, 1
Let s be 3/(-36) - (-4)/16. Let y(c) be the second derivative of -c - s*c**3 + 0 + 0*c**2 + 1/12*c**4. Factor y(k).
k*(k - 1)
Let o = 4 - -12. Suppose -4*s - 8 = 0, -3*s + o = 3*c - 5*s. Let -2*n**2 - 7*n**3 + c*n - 25*n**3 - 14*n**5 - 38*n**4 + 2*n**3 = 0. What is n?
-1, 0, 2/7
Let j = 921/2 - 435. Factor -15/2*x**4 - 63/2*x**2 + j*x**3 - 3 + 33/2*x.
-3*(x - 1)**3*(5*x - 2)/2
Let w(z) be the first derivative of -3 + 1/4*z - 1/12*z**3 - 1/8*z**2 + 1/16*z**4. Find h, given that w(h) = 0.
-1, 1
Let f = -4 - -7. Solve -6*k**2 + k - f*k**3 + 0*k**3 - k = 0.
-2, 0
Let i be (-1620)/(-25) - 2/5. Let a = -64 + i. Find h such that 2/5*h**2 - 2/5*h**3 + a*h - 2/5 = 0.
-1, 1
Let u(o) be the second derivative of -o**5/5 + 8*o**4/3 - 32*o**3/3 + 34*o + 2. Let u(x) = 0. Calculate x.
0, 4
Let k be (2/12)/((-15)/(-30)). Determine c so that k*c**2 - 1/6*c - 1/6*c**3 + 0 = 0.
0, 1
Let y(l) be the third derivative of l**8/30240 - l**6/1080 + l**5/270 + l**4/24 - 3*l**2. Let n(h) be the second derivative of y(h). Factor n(q).
2*(q - 1)**2*(q + 2)/9
Find q such that 3/7*q**5 + 18/7*q**3 - 12/7*q**2 - 12/7*q**4 + 0 + 3/7*q = 0.
0, 1
Let l(u) be the third derivative of 0*u**3 - 1/240*u**6 + 0*u + 1/48*u**4 + 0 + 1/120*u**5 - 1/420*u**7 - 3*u**2. Let l(i) = 0. What is i?
-1, 0, 1
Let o = 218