 - 1/3*r**3 + 3*r + 0*r**2 + 0. Suppose v(x) = 0. Calculate x.
-1, 0, 1
Suppose 4*i**2 - 3 - 3 + 13 - 3 - 8*i = 0. Calculate i.
1
Let u be -1 + (7 + -2 - 2). Factor -27*o**u + 2*o + 3*o - 12 + 19*o + 12*o.
-3*(3*o - 2)**2
Let d(n) be the first derivative of 3 + 1/3*n**4 + 2/9*n**3 + 2/15*n**5 + 0*n + 0*n**2. What is y in d(y) = 0?
-1, 0
Let v be 0/(-2 + 0) - -1. Let h be (5/2)/((-1)/(-2)). Solve -h - 7*t + t + v - 2*t**2 = 0.
-2, -1
Let w(c) be the first derivative of 3*c**5/10 + 5*c**4/8 + c**3/3 + 21. Determine t so that w(t) = 0.
-1, -2/3, 0
Let z be 30/25*80/264. Factor z*r**3 - 2/11*r**2 + 0 - 2/11*r**4 + 0*r.
-2*r**2*(r - 1)**2/11
Let c(s) = -29*s**4 + 5*s**3 + 84*s**2 + 139*s + 72. Let j(x) = -5*x**4 + x**3 + 14*x**2 + 23*x + 12. Let g(v) = -6*c(v) + 34*j(v). Solve g(o) = 0 for o.
-2, -1, 3
Factor -4/5*x**2 + 0*x + 2/5 + 2/5*x**4 + 0*x**3.
2*(x - 1)**2*(x + 1)**2/5
Factor 3/5*b - 6/5 + 3/5*b**2.
3*(b - 1)*(b + 2)/5
Suppose -4*d = -s - 12, -3*s - 28 = -4*d - 8. Suppose 5*i + h = 15, h = d*i - 9 + 3. Factor 2*m**2 + i*m**2 - 4*m**2 + m.
m*(m + 1)
Let x(t) be the second derivative of 1/28*t**4 - 6/7*t**2 + 0 - 7*t - 3/14*t**3. Factor x(a).
3*(a - 4)*(a + 1)/7
Let u(w) be the third derivative of w**8/224 - w**7/28 + 3*w**6/40 + w**5/10 - w**4/2 - 3*w**2. Factor u(x).
3*x*(x - 2)**3*(x + 1)/2
Let v(i) = -i**2 - 1. Let t(m) = 2*m**3 - m**2 + 1. Let f(r) = -2*t(r) - 2*v(r). Let f(c) = 0. What is c?
0, 1
Let i = 1 + -1. Let s be i + -2 + 0 + 4. Determine r so that 2 + 0 - r + s*r - r**2 = 0.
-1, 2
Let s = 3 + -14. Let b be s/(-3) - (-15)/(-5). Let -b*c**2 - 2/3 + 4/3*c = 0. Calculate c.
1
Let d be (-1)/(-2) - 5/10. Suppose 2*a + 2*a - 8 = d. Factor c**5 - 5*c**2 + 12*c**3 + c**5 + 8*c**2 + 2*c + 5*c**a + 8*c**4.
2*c*(c + 1)**4
Let -2/5*s**2 - 32/5 + 16/5*s = 0. Calculate s.
4
Factor 7*w**3 - 4*w**2 + 0*w**2 - 2*w**3 - 6*w**3.
-w**2*(w + 4)
Let f = -3 + 1. Let s be (-2)/f + (-4 - -5). Solve 6*a**3 - s*a**3 - 3*a**3 - a = 0.
-1, 0, 1
Let q(p) be the second derivative of -p**4/24 - p**3/3 - 3*p**2/4 - 5*p. Factor q(n).
-(n + 1)*(n + 3)/2
Let y = 2/303 + 293/1515. Factor -2/5*q**4 + y*q**5 - 7/5*q + 8/5*q**2 - 2/5*q**3 + 2/5.
(q - 1)**4*(q + 2)/5
Find w such that 6/11*w**2 + 0 + 0*w**3 + 4/11*w - 2/11*w**4 = 0.
-1, 0, 2
Let i(o) be the second derivative of o**6/10 - 7*o**5/20 - o**4/12 + 7*o**3/6 - o**2 + 6*o. Suppose i(h) = 0. Calculate h.
-1, 1/3, 1, 2
Let v(k) be the third derivative of 0*k + 0*k**4 - 1/840*k**7 - 2*k**2 + 0*k**3 + 1/120*k**5 + 0 - 1/480*k**6. Determine o, given that v(o) = 0.
-2, 0, 1
Let l be (-12585)/6300 - (-2 + 0). Let b(c) be the third derivative of l*c**7 + 1/40*c**5 + 0 + 0*c + 2*c**2 + 0*c**3 - 1/48*c**4 - 1/80*c**6. Factor b(z).
z*(z - 1)**3/2
Let v(d) be the third derivative of d**8/2240 - d**7/420 - d**6/240 + d**5/20 - 5*d**4/24 + 2*d**2. Let c(k) be the second derivative of v(k). Solve c(x) = 0.
-1, 1, 2
Suppose 2*r = -5*c + 31, 5*r - 10 = c - 0*c. Let -2*x**2 + 0 - 2/3*x**4 + 2*x**r + 2/3*x = 0. Calculate x.
0, 1
Let u(l) = -l + 4. Let s be u(4). Find t, given that 0 + 0*t**2 + s*t + 2/3*t**3 = 0.
0
Let q(l) be the second derivative of l**4/54 + l**3/27 - 3*l. Factor q(i).
2*i*(i + 1)/9
Factor 1/3*p**5 - 1/3*p**4 + 0 - 2/3*p**3 + 0*p**2 + 0*p.
p**3*(p - 2)*(p + 1)/3
Let t(k) be the first derivative of -k**7/420 - k**6/180 + k**5/60 + k**4/12 + k**3 + 1. Let a(i) be the third derivative of t(i). Factor a(u).
-2*(u - 1)*(u + 1)**2
Let j(i) be the third derivative of -7*i**6/80 - 11*i**5/10 - 17*i**4/4 - 4*i**3 - 2*i**2 - 11. What is h in j(h) = 0?
-4, -2, -2/7
Let n(u) be the third derivative of -u**10/7560 - u**9/1890 - u**8/1344 - u**7/2520 + u**4/24 - 4*u**2. Let v(a) be the second derivative of n(a). Factor v(j).
-j**2*(j + 1)*(2*j + 1)**2
Let n(f) = f**5 - f**3 + f**2 + f. Let p(u) = -u**5 - 4*u**4 + 9*u**3 + 7*u**2 - 5*u. Let h(d) = -3*n(d) + p(d). Find z such that h(z) = 0.
-2, -1, 0, 1
Let o(c) be the first derivative of c**4/12 + c**3/3 + c**2/2 - 4*c - 1. Let f(d) be the first derivative of o(d). Factor f(g).
(g + 1)**2
Let o be (3/(-2))/((-3)/(-4)). Let m be o + (11 - (-1 - -2)). Factor u**4 - 2*u - u**4 + 8*u**4 + 0*u**2 + 2*u**3 - m*u**2.
2*u*(u - 1)*(u + 1)*(4*u + 1)
Let c(m) be the first derivative of m**5/120 + 5*m**4/72 + 2*m**3/9 + m**2/3 + 9*m + 9. Let h(v) be the first derivative of c(v). Suppose h(u) = 0. What is u?
-2, -1
Let c = 141 - 138. Let o be 1/(-14) + (-12)/(-8). Factor -2/7*j**c - o*j + 8/7*j**2 + 4/7.
-2*(j - 2)*(j - 1)**2/7
Let t(h) be the second derivative of 0*h**4 + 0*h**3 + 0 - 1/75*h**6 + 1/105*h**7 - 9*h + 0*h**2 + 0*h**5. Factor t(g).
2*g**4*(g - 1)/5
Let x(f) = -f**3 + 3*f**2 + f + 1. Let t(j) = -8*j**3 + 25*j**2 + 8*j + 9. Let h(k) = 6*t(k) - 51*x(k). Suppose h(s) = 0. What is s?
-1, 1
Find k such that -257*k - k**2 + 4*k**2 + 243 + 311*k = 0.
-9
Let k = -13 - -26. Determine v so that 3*v - 5*v**2 - 3*v**3 - 10 + 2*v**2 + k = 0.
-1, 1
Let u = 444/73 - 65766/803. Let c = u + 76. Factor 2/11*d**2 - c - 2/11*d + 2/11*d**3.
2*(d - 1)*(d + 1)**2/11
Let z(x) be the second derivative of x**5/10 + 25*x. Factor z(j).
2*j**3
Let v(c) be the third derivative of c**9/12096 - c**7/3360 - c**3/3 + 5*c**2. Let l(x) be the first derivative of v(x). What is h in l(h) = 0?
-1, 0, 1
Let p(x) = x**2 - x. Suppose -13 = l + 2*l - 2*j, 3*j = 4*l + 19. Let b(i) = -i**3 + 4*i**2 - 5*i. Let q(n) = l*b(n) + 5*p(n). What is y in q(y) = 0?
-1, 0
Let q be (-12)/(-8)*20/12. Factor 1/4 + 5/4*y**4 - 5/2*y**3 + q*y**2 - 1/4*y**5 - 5/4*y.
-(y - 1)**5/4
Let h(k) be the second derivative of k**4/30 - 8*k**3/15 + 7*k**2/5 - 22*k + 2. Find p, given that h(p) = 0.
1, 7
Let 6*r - 4/3 + 22/3*r**2 = 0. Calculate r.
-1, 2/11
Let q(g) be the third derivative of 1/3*g**4 - 6*g**2 + 0*g + 1/30*g**5 + 0 + 4/3*g**3. Determine k, given that q(k) = 0.
-2
Let w(m) = -5*m**5 + 2*m**4 + 7*m**3 - 3*m. Let l(v) = -4*v**5 + 2*v**4 + 6*v**3 - 2*v. Suppose 6*s + 15 = s. Let g(p) = s*l(p) + 2*w(p). Factor g(h).
2*h**3*(h - 2)*(h + 1)
Determine r, given that 2/15*r**3 + 2/15*r**5 + 0*r**2 + 0*r - 4/15*r**4 + 0 = 0.
0, 1
Suppose -5*l - 16 = -w - 10*l, 5*w = 4*l + 167. Let x = w - 31. What is c in x*c**2 - 1/2 - c**3 + c + 1/2*c**4 = 0?
-1, 1
Let f(r) = r - 14. Let h be f(16). Suppose 3*n + v = -h*n + 15, -4*n = -2*v + 2. Suppose -147/4*t**n - 3 + 21*t = 0. What is t?
2/7
Let u = -3 + 9. Let z**2 - z**2 + u*z + 2*z + 8 + 2*z**2 = 0. Calculate z.
-2
Let u(x) be the first derivative of -x**4 + 2*x**2 - 9. Factor u(p).
-4*p*(p - 1)*(p + 1)
Let w = -857/2 + 429. Factor 5/6*k**2 - 1/6*k**5 + w*k**3 + 0 - 1/6*k**4 + 1/3*k.
-k*(k - 2)*(k + 1)**3/6
Let i = -39 - -42. Factor 1/2 - 1/2*w**4 + 0*w**2 - w + w**i.
-(w - 1)**3*(w + 1)/2
Let c = 809/5174 - 1/398. Factor -c*q**3 + 0*q - 6/13*q**2 + 8/13.
-2*(q - 1)*(q + 2)**2/13
What is a in -1/2*a + 5/4*a**2 - a**3 + 1/4*a**4 + 0 = 0?
0, 1, 2
Let k = 11 - 8. Factor 2*u**3 - k*u + 5*u - 4*u.
2*u*(u - 1)*(u + 1)
Let w(k) be the first derivative of -k**4/18 + k**2/3 - 2*k - 1. Let x(s) be the first derivative of w(s). Suppose x(n) = 0. Calculate n.
-1, 1
Let t(o) be the third derivative of o**11/1164240 + o**10/529200 - o**5/10 + 5*o**2. Let r(w) be the third derivative of t(w). Determine s so that r(s) = 0.
-1, 0
Let v(w) be the second derivative of w**5/30 - 7*w**4/18 + 5*w**3/3 - 3*w**2 + 30*w. Factor v(k).
2*(k - 3)**2*(k - 1)/3
Let t = -2369/2 - -1185. Factor 1 - t*c - 1/2*c**2.
-(c - 1)*(c + 2)/2
Let u(h) be the first derivative of -h**8/504 + 2*h**7/315 - h**6/180 - 3*h**2/2 - 2. Let k(g) be the second derivative of u(g). Factor k(c).
-2*c**3*(c - 1)**2/3
Let w(f) = -2*f - 8. Let s(d) = -3*d + 6. Let i be s(4). Let z be w(i). Factor 5*o - 2*o**3 - 3*o + z + 0*o**3 - 4*o**2.
-2*(o - 1)*(o + 1)*(o + 2)
Factor 11*v**4 - 5*v - 5*v - 5*v**2 + 10*v**3 + 7*v**4 - 13*v**4.
5*v*(v - 1)*(v + 1)*(v + 2)
Let b(m) be the first derivative of m**2 - 1 + 0*m**3 + 0*m**5 - m**4 + 0*m + 1/3*m**6. Let b(f) = 0. Calculate f.
-1, 0, 1
Factor -6*c + 6*c**2 - 5*c**2 + 4 + c**2.
2*(c - 2)*(c - 1)
Factor 4/9*b**2 + 2/3*b + 2/9.
2*(b + 1)*(2*b + 1)/9
Let q(b) be the first derivative of -5*b**6/6 - 2*b**5 - 5*b**4/4 - 52. Solve q(t) = 0 for t.
-1, 0
Suppose 2*f + 3*f - 30 = -4*q, -f - 13 = -3*q. Let n(j) be the third d