 such that q(h) = 0.
-1, 0, 1
Suppose 5*t = -0 + 10. Let r(q) = -5*q + q**t - 2 + 2*q + 0. Let b(w) = 2*w**2 - 7*w - 5. Let v(o) = -2*b(o) + 5*r(o). Factor v(x).
x*(x - 1)
Suppose 2*s**3 + 10*s**2 - 48*s**3 - 15*s - 14*s**5 + 21*s + 38*s**4 + 6*s**5 = 0. Calculate s.
-1/4, 0, 1, 3
Let u(j) be the first derivative of -3*j**4/4 - 5*j**3 - 12*j**2 - 12*j - 13. Suppose u(v) = 0. Calculate v.
-2, -1
Suppose -i + 2*i = 0. Suppose 10 = 2*a, -k + i*a - 12 = -3*a. What is b in -2 + 20*b**k + 20*b**2 + 10*b + 2*b**4 + 4 + 8*b**4 + 2*b**5 = 0?
-1
Let c(u) be the third derivative of u**7/10080 - u**6/2880 - u**5/240 - u**4/6 - 4*u**2. Let v(p) be the second derivative of c(p). Factor v(n).
(n - 2)*(n + 1)/4
Let h be 160/(-128) - 1*(0 - 2). Let q(l) be the first derivative of -l - 1/6*l**3 + 2 - h*l**2. Determine m, given that q(m) = 0.
-2, -1
Let r(w) = 9*w - 9. Let s be r(9). What is j in -4 + 1 + 42*j**3 + 53*j**2 - 6*j - 14*j**2 + 72*j**4 + s*j**3 = 0?
-1, -1/2, -1/3, 1/4
Let w be (-4)/32 - 150/(-48). Factor 1/2 + 5/2*u**4 - 1/2*u**5 - 5*u**w - 5/2*u + 5*u**2.
-(u - 1)**5/2
Let i(f) be the first derivative of f**3/15 + 2*f**2/5 + 3*f/5 - 7. Determine q, given that i(q) = 0.
-3, -1
Solve -4 - 14*v**2 - 10*v - 8 + 25*v**2 - 13*v**2 = 0.
-3, -2
Let l(n) be the second derivative of 0 - 1/50*n**6 + 0*n**4 - n + 0*n**3 - 1/50*n**5 + 0*n**2 - 1/210*n**7. Solve l(u) = 0.
-2, -1, 0
Suppose 3*d - 4 = 8. Suppose -24 + d = -5*n. Solve 8*k**3 + 4*k**2 + 2*k**n - k**3 - k**3 = 0.
-2, -1, 0
Let o(s) be the second derivative of -s + 0 + 1/48*s**4 - 1/12*s**3 - 3/8*s**2. Suppose o(m) = 0. Calculate m.
-1, 3
Let o be -2*((-39)/6 - -4). Determine h so that 1/4*h**2 + 0 - 1/4*h**o + 0*h + 1/4*h**3 - 1/4*h**4 = 0.
-1, 0, 1
Let z(v) = 3*v**2 - 8*v - 4. Let f(g) = 7*g**2 - 17*g - 8. Let j(s) = 4*f(s) - 9*z(s). Let j(l) = 0. What is l?
-2
Suppose -2*u + 10 = 4*n, -1 = 4*n - 5. Suppose 3*k = -k + 12. Find c, given that c**5 - c**4 + 0*c**3 - c**k + 2*c**3 + u*c**4 = 0.
-1, 0
Factor 96*g**3 - 96*g**3 + g**4.
g**4
Let y(d) = -3*d - 12. Let u be y(-4). Let c(v) be the third derivative of 1/360*v**6 + 1/210*v**7 + 2*v**2 + u*v**3 + 0*v**5 + 0*v + 0*v**4 + 0. Factor c(i).
i**3*(3*i + 1)/3
Let s = 0 + 4. Factor -1 + 0 + 3*u - s + u**3 + 4 - 3*u**2.
(u - 1)**3
Let y(m) = -430*m**3 - 155*m**2 - 45*m - 45. Let d(n) = -39*n**3 - 14*n**2 - 4*n - 4. Let h(p) = -45*d(p) + 4*y(p). Suppose h(g) = 0. Calculate g.
-2/7, 0
Let h(o) be the first derivative of -3*o**4/4 + 3*o**3 - 9*o**2/2 + 3*o - 6. Suppose h(j) = 0. What is j?
1
Suppose 28 = 3*h - 4*s, s - 4 + 0 = -2*h. Let r be ((-8)/(-6))/h*1. Factor 0 - 2/3*w**2 + 1/3*w**3 + r*w.
w*(w - 1)**2/3
Let j = 55/237 - -8/79. Find w such that -5/6*w**2 - j - 7/6*w = 0.
-1, -2/5
Let g = -11 - -16. Suppose 4*h = g*h. Factor h - 1/2*p + 1/2*p**2.
p*(p - 1)/2
Let l(n) = n + 1. Let v(f) = 2*f**3 - 5*f**2 - 2*f - 1. Let k(m) = -15*l(m) - 5*v(m). Solve k(g) = 0 for g.
-1/2, 1, 2
Let s(m) be the second derivative of 1/10*m**6 + 3*m + 0*m**5 + 0*m**3 + 0*m**2 + 0*m**4 + 1/14*m**7 + 0. Determine z so that s(z) = 0.
-1, 0
Find w, given that 1/5*w - w**4 + 0 + 3/5*w**3 - 4/5*w**5 + w**2 = 0.
-1, -1/4, 0, 1
Suppose f - 2*f + 3 = 0. Factor -f*h**2 + 3*h**2 + 3*h**3 + 5*h - 1 - 7*h**2.
(h - 1)**2*(3*h - 1)
Suppose 0 = 2*u + 2*h - 16, 16 = 3*u + 4*h - 3*h. Factor -2*b**3 + 5*b - u*b + b**3.
-b*(b - 1)*(b + 1)
Let y(u) be the second derivative of u**3/3 + 2*u. Let t be y(2). Determine x, given that 11*x**3 + x**t - 10*x**3 + x**5 - 3*x**4 = 0.
0, 1
Factor -12 - 1/3*p**4 + 20*p - 10/3*p**3 - 13/3*p**2.
-(p - 1)**2*(p + 6)**2/3
Let h be (-1 - 9)/((-3)/(-6)). Let d be (4/h)/((-2)/10). Factor d + 1/4*y**2 - y.
(y - 2)**2/4
Factor -1/3*g**2 + 14/3*g - 49/3.
-(g - 7)**2/3
Let 0 + 2/3*l**4 - 1/6*l**2 + 0*l - 1/2*l**3 = 0. Calculate l.
-1/4, 0, 1
Let w(h) = -8*h**4 + 14*h**2 - 2. Let f(a) = a**2. Let c be 4*(-3)/(-1 - 2). Let x(g) = c*f(g) - w(g). What is y in x(y) = 0?
-1, -1/2, 1/2, 1
Let b(g) be the second derivative of 0*g**3 + 0*g**2 - 1/20*g**5 - 2*g + 0 - 1/60*g**6 - 1/24*g**4. Factor b(d).
-d**2*(d + 1)**2/2
Let w = 74 - 70. What is y in 0*y - 1/3*y**w + 1/3*y**3 + 2/3*y**2 + 0 = 0?
-1, 0, 2
Let t(k) be the second derivative of -5*k**6/42 + 4*k**5/7 + 19*k**4/21 + 8*k**3/21 + 9*k. Factor t(a).
-a*(a - 4)*(5*a + 2)**2/7
Let n(k) be the first derivative of 3*k**4/4 - 3*k**2/2 + 1. Factor n(q).
3*q*(q - 1)*(q + 1)
Let g(h) = h - 4. Let p be (7 - -1) + -6 + 5. Let j be g(p). Factor 2*z**3 + z**2 + z + j*z**2 + 4*z**4 + z**5 + 4*z**3.
z*(z + 1)**4
Let h be 5/(-90)*6*-6. Determine o, given that 2/11*o**h + 32/11 - 16/11*o = 0.
4
Let w be (-2)/(-2)*(2 - -2). Factor -h**2 + 2*h**2 - h**4 + 3*h**w - h**3 + h**5 - 3*h**4.
h**2*(h - 1)**2*(h + 1)
Let o(a) = -11*a**3 + 20*a**2 + 6*a. Let q(c) = 65*c**3 - 120*c**2 - 35*c. Let i(h) = 35*o(h) + 6*q(h). Solve i(v) = 0 for v.
0, 4
Suppose -5*y = 2*s + 5, -s + 0 = 2*y + 1. Suppose u = 0, -f - s*u + 1 + 1 = 0. Factor 0 - 1/3*t**f - 1/3*t**3 + 1/3*t**4 + 1/3*t.
t*(t - 1)**2*(t + 1)/3
Let j(p) be the first derivative of p**5/180 - p**4/72 - p**3/9 - 2*p**2 - 3. Let q(h) be the second derivative of j(h). Suppose q(g) = 0. Calculate g.
-1, 2
Factor 0 + 1/8*s + 1/8*s**3 + 1/4*s**2.
s*(s + 1)**2/8
Let r(n) be the second derivative of 31/54*n**4 + 0 + 4*n + 56/27*n**3 - 16/9*n**2 + 2/45*n**5. Suppose r(m) = 0. What is m?
-4, 1/4
Let h(q) be the third derivative of 3*q**5/20 - 11*q**4/24 + q**3/3 + 7*q**2. Suppose h(p) = 0. What is p?
2/9, 1
Suppose 3*p + 10 = 5*b, p = 5*b - 0*p - 10. Let d be (1/b)/((-2)/(-12)). Find a, given that -a**3 - 4*a**3 + 3*a**d - 2*a**2 = 0.
-1, 0
Let r be (-6)/21 + 10/35 + 0. Factor -2/7*v**5 + 0*v**4 + r*v + 0*v**3 + 0 + 0*v**2.
-2*v**5/7
Suppose -47 = -5*m + 8. Factor -t - 6*t**2 - m*t - 8 - 22*t**3 + 21*t**3.
-(t + 2)**3
Let z(x) be the third derivative of -x**6/60 - x**5/30 + x**4/6 + 11*x**2. Factor z(y).
-2*y*(y - 1)*(y + 2)
Suppose -4*j - 10 - 14 = 0. Let q = j + 6. Factor q - 1/2*o - 1/2*o**2.
-o*(o + 1)/2
Let t(p) be the third derivative of p**5/90 + p**4/9 - 5*p**3/9 + 16*p**2. Factor t(c).
2*(c - 1)*(c + 5)/3
Suppose 0 = 2*w - o + 5, o - 5*o - 25 = w. Let d = 5 + w. Factor 2/5*g**4 + 0*g + 0 + d*g**2 - 2/5*g**3.
2*g**3*(g - 1)/5
Find w, given that -14/13*w**2 + 0 - 6/13*w - 10/13*w**3 - 2/13*w**4 = 0.
-3, -1, 0
Let p(d) be the second derivative of d**6/150 - 2*d**5/25 + 23*d**4/60 - 14*d**3/15 + 6*d**2/5 + 51*d. Find r such that p(r) = 0.
1, 2, 3
Suppose 14*t - 11*t - 5*t**2 - 13*t = 0. What is t?
-2, 0
Suppose -5*q + 12*q = -42. Let x(j) = -4*j**2 - 4*j - 4. Let g(k) = 1 - k + 5*k + 2 + 3*k**2. Let l(u) = q*g(u) - 5*x(u). Factor l(m).
2*(m - 1)**2
Let j(d) be the first derivative of 3*d**5/5 - 24*d**4 + 384*d**3 - 3072*d**2 + 12288*d + 24. Suppose j(x) = 0. What is x?
8
Let a be (10/25)/(2/10). Factor 9*d**3 + a*d + 6*d**2 - 2*d.
3*d**2*(3*d + 2)
Factor -5*o - 10*o**2 + 36*o**3 - 913*o**4 + 893*o**4 - o**3.
-5*o*(o - 1)**2*(4*o + 1)
Suppose 3*y**2 + 7 - y**2 + 11 + 9*y + 3*y = 0. Calculate y.
-3
Let a(b) = -b**3 - 5*b**2 - 5*b - 3. Let c be a(-4). Factor 0*d - 2*d**2 - c + 4 - 4*d + 3.
-2*(d - 1)*(d + 3)
Suppose -4*a + 39 = -5*i - 19, a - 5*i - 22 = 0. Let x = 14 - a. Suppose 1/4 + 0*y - 1/4*y**x = 0. What is y?
-1, 1
Let y(p) be the second derivative of -1/10*p**5 - 1/2*p**2 - 1/10*p**6 + 1/3*p**4 + p + 1/3*p**3 + 0. Factor y(x).
-(x - 1)*(x + 1)**2*(3*x - 1)
Determine f, given that 4/9 + 4/9*f**2 + 8/9*f = 0.
-1
Let f(o) be the second derivative of o**4/6 + 10*o**3 + 225*o**2 + o. Factor f(g).
2*(g + 15)**2
Let f = 26 + -24. Solve f*p - 2 - 1/2*p**2 = 0 for p.
2
Factor -12*a**3 + 5*a**2 + 22*a**5 + 3*a**2 - 45*a**5 + 27*a**5.
4*a**2*(a - 1)**2*(a + 2)
Let g(t) be the third derivative of 5*t**8/336 + t**7/7 + 13*t**6/24 + t**5 + 5*t**4/6 - 23*t**2. Factor g(j).
5*j*(j + 1)**2*(j + 2)**2
Let g(j) = -3*j**3 - 3*j**2 - 3*j - 1. Let i(o) be the first derivative of o**4/4 + 1. Let q(h) = -g(h) - 2*i(h). Determine m, given that q(m) = 0.
-1
Suppose j - 5*j + 8 = 0. Factor -4*l**j + 5 - 5 - 4 - 3*l**2 - 16*l.
-(l + 2)*(7*l + 2)
Let m(w) = 2*w**3 - 22*w**2 + 2*w - 19. Let o be m(11). Suppose -4/9*u**2 + 8/9*u + 16/9 - 2/9*u**o = 0. What is u?
-2, 2
Let m = -3 + 8. Suppose -m*x - 5*a = 0, 2*x + 0*a - a = 