?
-1, 0, 1
Let k = -3 - -6. Let i be k + 66/(-14) + 2. Let -20/7*f**2 - 20/7*f**3 - i - 10/7*f**4 - 10/7*f - 2/7*f**5 = 0. What is f?
-1
Let j(k) be the first derivative of k**3/24 - 3*k**2/16 - k/2 - 50. Factor j(r).
(r - 4)*(r + 1)/8
Find z such that 10*z**3 + z**5 + 3*z**2 - 28*z**3 - 13*z**5 + 16*z**4 + 11*z**4 = 0.
0, 1/4, 1
Suppose -2/7*v**2 - 2/7*v + 0 = 0. Calculate v.
-1, 0
Let b = 7 + -3. Suppose 0*i = b*i. Solve i*p**2 + 3*p**2 + 5*p + p = 0.
-2, 0
Let w(h) be the second derivative of -h**6/15 + h**5/10 + h**4/2 - h**3/3 - 2*h**2 + 5*h. Factor w(q).
-2*(q - 2)*(q - 1)*(q + 1)**2
Let j(q) be the third derivative of 125*q**5/6 + 25*q**4/3 + 4*q**3/3 + 21*q**2. Factor j(v).
2*(25*v + 2)**2
Let i be 1/((-2)/(-3)) + -1. Suppose -w + n = -5, 21*w = 24*w + 5*n + 9. Let -1/2 - 1/2*x**5 - i*x - 1/2*x**4 + x**3 + x**w = 0. What is x?
-1, 1
Let z(k) = -29*k**3 + 7*k**3 + 3*k**4 - 8*k**2 - 23*k**4. Let m(w) = 5 - w**3 - 3 + w**4 - 2. Let y(g) = 2*m(g) + z(g). Factor y(h).
-2*h**2*(3*h + 2)**2
Let k(p) be the first derivative of p**6/15 - 12*p**5/25 + 7*p**4/5 - 32*p**3/15 + 9*p**2/5 - 4*p/5 + 10. Factor k(y).
2*(y - 2)*(y - 1)**4/5
Let 108/7 - 36/7*s + 3/7*s**2 = 0. Calculate s.
6
Let c(a) be the first derivative of -a**6/180 - a**5/60 + a**3/18 + a**2/12 - 2*a - 2. Let s(r) be the first derivative of c(r). Suppose s(q) = 0. Calculate q.
-1, 1
Let o(d) be the first derivative of -d**5/45 + d**4/18 - d**2/9 + 7*d + 8. Let w(x) be the first derivative of o(x). Suppose w(y) = 0. What is y?
-1/2, 1
Let x(r) be the second derivative of -r**7/1260 + r**6/270 - r**5/180 - r**3/3 - 7*r. Let c(i) be the second derivative of x(i). Find m, given that c(m) = 0.
0, 1
Let g(r) be the first derivative of r**4 + 4*r**3/3 - 2*r**2 - 4*r - 8. Factor g(k).
4*(k - 1)*(k + 1)**2
Suppose 6*i - 8*i + 4 = 0. Let b(m) = -m**3 + m + 1. Let y(l) = -7*l**3 + 6*l**2 + 15*l + 11. Let w(x) = i*y(x) - 18*b(x). Factor w(v).
4*(v + 1)**3
Let f = 26 + -21. Let n(t) be the first derivative of 1/14*t**4 - 1 - 1/7*t**2 + 0*t + 2/21*t**3 - 2/35*t**f. Find y, given that n(y) = 0.
-1, 0, 1
Suppose 13*h - 5*h = 4*h. Find k such that -1/4*k**4 + h*k + 1/2*k**2 + 0*k**3 - 1/4 = 0.
-1, 1
Let t be -1 - 7/(7/(-6)). Factor m**4 - 4*m**4 - 2*m**t + m**4.
-2*m**4*(m + 1)
Let g(s) be the third derivative of 0*s**7 - 1/1008*s**8 + 1/180*s**6 + 0*s**3 + 0 + 0*s**5 + 0*s - 1/72*s**4 + s**2. Factor g(a).
-a*(a - 1)**2*(a + 1)**2/3
Let f be (6/(-9))/(6/(-9)). Suppose y + 7 = a, 0*a - 2*a = y + f. Factor -a*g - g**3 - 2*g + 5*g.
-g*(g - 1)*(g + 1)
Suppose -2*z = -3*s + 13, -11 = 5*z - 1. Let 4/3*r**s + 2/3 + 0*r**2 - 2/3*r**4 - 4/3*r = 0. Calculate r.
-1, 1
Suppose 0 = -2*s - 3*g - 1, -s + g - 11 = 4*s. Let d be (-2 - s)/2 + 0. Factor 2*t + 5*t**2 + d*t**2 - 4*t**2 - t**3.
-t*(t - 2)*(t + 1)
Solve -7/12*n**3 + 1/3*n**4 + 7/12*n - 1/4 - 1/12*n**2 = 0 for n.
-1, 3/4, 1
Let o(m) be the first derivative of m**4/32 - 5*m**3/24 + 7*m**2/16 - 3*m/8 + 29. Factor o(x).
(x - 3)*(x - 1)**2/8
Suppose -25 = -4*i + 4*j - 5, -10 = -4*i + 2*j. Factor -2/9*a**2 + i*a + 2/9.
-2*(a - 1)*(a + 1)/9
Let a(h) be the second derivative of -1/30*h**6 + 0*h**2 - 3*h + 0 + 1/6*h**3 + 1/12*h**4 - 1/20*h**5. Factor a(o).
-o*(o - 1)*(o + 1)**2
Suppose 0 = 6*p - 3*p - 171. Let t = -284/5 + p. Factor 0 + t*r**3 + 0*r + 2/5*r**2.
r**2*(r + 2)/5
Suppose -5*j = 0, -2*f + 0*f + 3*j + 14 = 0. Let q(u) = -u**3 + 6*u**2 + 6*u + 10. Let c be q(f). Factor 0*d + 2/5*d**2 + 0 - 2/5*d**c.
-2*d**2*(d - 1)/5
Suppose 2*n - 3*i + 17 = 3*n, -15 = -3*i. Let j(z) be the first derivative of 2/35*z**5 + 0*z**n + 3 - 3/14*z**4 + 4/21*z**3 + 0*z. Factor j(m).
2*m**2*(m - 2)*(m - 1)/7
Let u = 5 + 0. Solve -q + 3 + 2*q**2 - 2*q + u*q - 7 = 0.
-2, 1
Factor -2/7*j + 0 + 2/7*j**2.
2*j*(j - 1)/7
Suppose -4*p + 4 = -3*p. Let r(a) be the third derivative of 0*a + 0*a**3 + 0*a**p - 2*a**2 + 0 + 0*a**5 - 1/120*a**6 - 1/210*a**7. Factor r(v).
-v**3*(v + 1)
Let z(r) be the first derivative of -4*r**3/7 + 3*r**2/14 + 11. Let z(g) = 0. What is g?
0, 1/4
Suppose 4*b + 12 = -12. Let c be 2/b + 10/3. Factor 4*q - 2 + 4 + q**2 + 4*q**2 + c*q.
(q + 1)*(5*q + 2)
Let a(w) be the second derivative of w**5/20 - 2*w**3/3 - 4*w. What is z in a(z) = 0?
-2, 0, 2
Let m(j) = -5*j + 59. Let l be m(11). Solve 0 - 1/2*z**2 - z**l + 0*z - 3/2*z**3 = 0.
-1, -1/2, 0
Let p(r) be the third derivative of -1/20*r**5 - 1/210*r**7 - 2*r**2 - 1/30*r**6 + 2/3*r**3 + 1/6*r**4 + 0 + 0*r. Factor p(v).
-(v - 1)*(v + 1)*(v + 2)**2
Factor -6/7*w**2 + 4/7*w + 0.
-2*w*(3*w - 2)/7
Let x be 0/(1/(1/2)). Factor c**2 + x + 1 - 2*c**2.
-(c - 1)*(c + 1)
Let w = -51 + 51. Factor -1/5*a**2 + 3/5*a**4 + 2/5*a**3 + w + 0*a.
a**2*(a + 1)*(3*a - 1)/5
Factor 0 - 21/5*x - 3/5*x**2.
-3*x*(x + 7)/5
Let g(t) = t**3 + 10*t**2 + 8*t + 2. Let q = 14 + -23. Let u be g(q). Let -54*c - u + 15 - 2*c**3 - 18*c**2 - 58 = 0. Calculate c.
-3
Solve -17*a + 2*a**3 + 6*a**2 + 20*a + a**3 = 0 for a.
-1, 0
Let c(i) be the first derivative of -2*i**3/15 - 8*i**2/5 - 32*i/5 - 4. Factor c(r).
-2*(r + 4)**2/5
Let w(v) be the first derivative of -v**3 - 3*v**2/2 + 6*v - 5. Suppose w(c) = 0. Calculate c.
-2, 1
Let m(y) be the third derivative of y**5/480 + y**4/96 + 6*y**2. Find l such that m(l) = 0.
-2, 0
Let t(j) be the third derivative of 1/90*j**5 + 0*j**4 + 0*j - j**2 - 1/9*j**3 + 0. Factor t(v).
2*(v - 1)*(v + 1)/3
Let y(t) be the first derivative of 0*t**2 + 7 + 2/21*t**6 + 1/7*t**4 - 2/7*t**5 + 0*t + 0*t**3. Factor y(o).
2*o**3*(o - 2)*(2*o - 1)/7
Let z(m) be the third derivative of -m**6/270 + m**4/18 + 4*m**3/27 - 9*m**2. Factor z(j).
-4*(j - 2)*(j + 1)**2/9
Let z = 27/8 - 15/8. Let b(y) be the second derivative of 2*y + 0 - y**3 + 1/4*y**4 + z*y**2. Determine o so that b(o) = 0.
1
Let w(c) = 9*c**2 - 7*c + 4. Let z be 5*((-3)/(-1))/(-3). Let r(b) = -17*b**2 + 14*b - 7. Let p(u) = z*w(u) - 3*r(u). Factor p(f).
(f - 1)*(6*f - 1)
Let k be (-8)/117 + 2 + 80/(-45). Find w such that -4/13*w + k*w**3 + 0 - 2/13*w**2 = 0.
-1, 0, 2
Let u(s) be the second derivative of s**4/18 + 2*s**3/9 + s**2/3 - 7*s - 2. Factor u(k).
2*(k + 1)**2/3
Let v(d) be the third derivative of d**10/15120 - d**9/7560 - d**8/3360 + d**7/1260 + d**4/8 - 2*d**2. Let c(u) be the second derivative of v(u). Factor c(l).
2*l**2*(l - 1)**2*(l + 1)
Let i be 2/6 - 40/(-6). Suppose -3*c + 2 = -i. Let -5*w - 3/2*w**2 - 2 + 9/4*w**c = 0. What is w?
-2/3, 2
Let s(w) be the third derivative of -w**5/240 + w**4/32 - 15*w**2. Factor s(n).
-n*(n - 3)/4
Factor -4/3*i**2 - 2/3*i + 0.
-2*i*(2*i + 1)/3
Factor 2/7*x**2 + 2 + 16/7*x.
2*(x + 1)*(x + 7)/7
Let i(f) be the second derivative of f**7/126 + f**6/45 - f**5/20 - f**4/9 + 2*f**3/9 - 4*f. Factor i(h).
h*(h - 1)**2*(h + 2)**2/3
Let d(c) be the first derivative of -4/3*c**3 - 4 + 6*c**2 + 0*c. Solve d(j) = 0.
0, 3
Let g = 17 - 15. Let j(x) be the first derivative of -1 - 4*x**g - 2*x**4 + 2*x + 2/5*x**5 + 4*x**3. What is t in j(t) = 0?
1
Find k such that 79*k**2 + 36*k**3 - 18 - 25*k + 14*k**2 - 26*k = 0.
-3, -1/4, 2/3
Let t be 15/12*(87/15 - 4). Let a(p) be the first derivative of t*p**2 + 0*p**3 - 3*p - 4 - 3/8*p**4. Factor a(m).
-3*(m - 1)**2*(m + 2)/2
Let w(m) be the first derivative of 3*m**7/140 - 2*m**6/15 + 13*m**5/60 - m**4/6 - 4*m**3/3 + 1. Let y(s) be the third derivative of w(s). Factor y(q).
2*(q - 2)*(3*q - 1)**2
Let w = -6 + 11. Let -7*y**5 + y**5 + 2*y**w + 4*y**4 + 8*y**3 = 0. Calculate y.
-1, 0, 2
Let v = -49 - -49. Determine u so that 2/11*u**4 - 4/11*u**3 + 0 + v*u + 2/11*u**2 = 0.
0, 1
Let n(v) = 16*v**5 - 40*v**4 + 120*v**2 - 140*v + 64. Let s(j) = -j**5 + j**4 + j**3 - j**2 - j. Let g(x) = -n(x) - 20*s(x). Factor g(d).
4*(d - 1)**3*(d + 4)**2
Let i(y) be the second derivative of 5*y**4/12 + 10*y**3/3 + 15*y**2/2 + 2*y. Factor i(m).
5*(m + 1)*(m + 3)
What is w in -4/9 + 2*w**2 - 14/9*w = 0?
-2/9, 1
Let o(b) be the first derivative of -b**3 - 3*b**2 - 3*b - 24. Let o(y) = 0. What is y?
-1
Let s(n) = 5*n**2 - 14*n - 25. Let q(k) = 70*k**2 - 195*k - 350. Let g(c) = -6*q(c) + 85*s(c). Factor g(p).
5*(p - 5)*(p + 1)
Let q(v) = -4*v**2 - 2*v - 4. Suppose 2*x - 4*c = -3*c, x + 18 = -4*c. Let t(w) = 21*w**2 + 9*w + 21. Let o(s) = x*t(s) - 11*q(s). Factor o(r).
2*(r + 1)**2
Let k be 2*(-1)/(-2)*5. Suppose y + 1 = k. F