ve of g(x). What is p in n(p) = 0?
-2, -1
Let w = 2358037/7 - 336250. Let q = w - 611. Factor 2/7 + q*c + 8/7*c**2.
2*(c + 1)*(4*c + 1)/7
Let y be 18/(-10)*100/(-15). Factor -6*u**3 + u**2 - y*u - 6 - 22*u**2 - 5*u - 4*u.
-3*(u + 1)*(u + 2)*(2*u + 1)
What is i in 8/3*i**5 - 2/3 - 2/3*i**4 - 16/3*i**3 + 4/3*i**2 + 8/3*i = 0?
-1, 1/4, 1
Suppose -15*q - 13 - 17 = 0. Suppose 3 + 0 = 3*n. Let i(b) = 3*b**2 - 3*b. Let m(v) = v**2 - v. Let x(d) = n*i(d) + q*m(d). Factor x(h).
h*(h - 1)
Let v = 59 - 59. Let g(j) be the third derivative of 0 + v*j**5 + 0*j**4 + 0*j**3 - 1/120*j**6 + 0*j - 2*j**2. Let g(w) = 0. What is w?
0
Let o(w) be the third derivative of -5*w**6/24 - 59*w**5/6 - 140*w**4 + 240*w**3 + 3*w**2 - 2*w. Solve o(r) = 0.
-12, 2/5
What is i in 15*i**3 - 186/7*i**2 - 18/7*i**4 - 18/7 + 15*i = 0?
1/3, 1/2, 2, 3
Let u(m) be the second derivative of -m**5/40 - m**4/24 + m**3/12 + m**2/4 + 6*m. Let u(l) = 0. What is l?
-1, 1
Let s = 5 - 19/4. Suppose s*y**2 - 1/4 + 0*y = 0. What is y?
-1, 1
Let s(w) = -w**2 - 4*w + 4. Let o be s(-4). Let d(i) = i**3 + 9*i**2 + 9*i + 8. Let n be d(-8). Solve n*m**2 - m**3 - m**o + 0*m**2 = 0 for m.
-1, 0
Let m = -1/48 - -5/48. Let j(f) be the second derivative of 3*f + m*f**4 + 0 - 1/3*f**3 + 1/2*f**2. Factor j(z).
(z - 1)**2
Let r = -69515/11 + 6325. What is l in 64/11*l**3 + 26/11*l - 32/11*l**4 + 6/11*l**5 - r*l**2 - 4/11 = 0?
1/3, 1, 2
Let k(y) be the first derivative of 1/9*y**3 + 0*y + 1/6*y**2 - 1/15*y**5 - 1/12*y**4 - 6. Factor k(h).
-h*(h - 1)*(h + 1)**2/3
Let z be (8/(-6))/((-13)/(156/56)). Factor 0*n + 0 - 2/7*n**2 + 4/7*n**3 - z*n**4.
-2*n**2*(n - 1)**2/7
Let l(p) be the third derivative of -p**8/315 - p**7/315 + 7*p**6/1080 - p**5/360 + 5*p**3/6 - 9*p**2. Let j(o) be the first derivative of l(o). Factor j(g).
-g*(g + 1)*(4*g - 1)**2/3
Determine x, given that -4*x**5 + 176/7*x + 32/7 - 64/7*x**4 + 68/7*x**3 + 248/7*x**2 = 0.
-2, -1, -2/7, 2
Let g(d) be the first derivative of -4/9*d**3 + 0*d + 2*d**2 - 5. Factor g(y).
-4*y*(y - 3)/3
Let b(t) = -5 - t - t + t**2 - 10 + 3. Let g be b(5). Suppose -4/3*o**2 + 2/3*o**4 + 2/3 + 0*o + 0*o**g = 0. Calculate o.
-1, 1
Let v = 8 + -6. Let r be v/24 + (-13)/(-52). Factor 0*y**3 + 0 + r*y**4 - y**2 - 2/3*y.
y*(y - 2)*(y + 1)**2/3
Let s(z) be the third derivative of z**6/240 - z**5/30 + z**4/12 + 8*z**2. Factor s(n).
n*(n - 2)**2/2
What is p in -p**3 + p - 1 + 1/4*p**4 + 3/4*p**2 = 0?
-1, 1, 2
Let s(m) be the second derivative of -m**5/20 - m**4/12 + m**3/3 + 3*m. Factor s(z).
-z*(z - 1)*(z + 2)
What is u in 3*u**2 - 32*u - 4*u**3 + 9*u**2 + 8*u**2 + 16 = 0?
1, 2
Let d(u) be the first derivative of -u**4/28 - u**3/21 + u**2/7 + 2. Suppose d(w) = 0. Calculate w.
-2, 0, 1
Let q(b) be the second derivative of b**5/10 - b**4/6 - 8*b. Factor q(v).
2*v**2*(v - 1)
Let t(g) be the first derivative of 3*g**4/32 - g**3/4 - 3*g**2/16 + 3*g/4 - 18. Let t(u) = 0. Calculate u.
-1, 1, 2
Factor 0 - 1/2*p**3 + 5/6*p**4 - 5/6*p**2 + 1/2*p.
p*(p - 1)*(p + 1)*(5*p - 3)/6
Let j(t) be the third derivative of t**8/20160 + t**7/2520 + t**6/720 + t**5/360 - t**4/12 + 4*t**2. Let z(i) be the second derivative of j(i). Factor z(v).
(v + 1)**3/3
Determine b, given that -3/5*b**3 - 3/5*b - 6/5*b**2 + 0 = 0.
-1, 0
Let g be (-8)/6*9/(-6). Solve -18*n - 5 + 5 + 8*n**g + 4 = 0.
1/4, 2
Let q(z) be the third derivative of z**5/20 - 5*z**4 + 200*z**3 + 6*z**2 - 2*z. Determine v so that q(v) = 0.
20
Let l be 1/1 + (-3)/(-6)*-1. Solve -p - 1/2*p**2 - l = 0.
-1
Let k be -2 - (-5)/3 - 4/(-12). Let 2/9*b + k - 2/9*b**2 = 0. What is b?
0, 1
Let q(j) be the first derivative of 20*j**5 + 60*j**4 + 64*j**3/3 - 96*j**2/5 - 64*j/5 - 32. Suppose q(b) = 0. Calculate b.
-2, -2/5, 2/5
Factor -22/3*d - 8/3*d**3 + 4/3 + 26/3*d**2.
-2*(d - 2)*(d - 1)*(4*d - 1)/3
Let a = -933/5 + 187. Let -2/5*v**4 - 1/5*v**5 + 8/5*v**2 + a*v**3 + 7/5*v + 2/5 = 0. Calculate v.
-1, 2
Let b = -8 - -14. Let j(l) = -13 + 17*l**3 + 17*l**2 - 3*l + 3*l. Let k(d) = -8*d**3 - 8*d**2 + 6. Let u(x) = b*j(x) + 13*k(x). Let u(v) = 0. Calculate v.
-1, 0
Let v(a) be the first derivative of -a**4/28 - a**3/7 - a**2/7 + 42. Factor v(u).
-u*(u + 1)*(u + 2)/7
Let t(o) be the first derivative of -o**6/16 - 3*o**5/4 - 99*o**4/32 - 5*o**3 - 3*o**2 - 31. Determine a, given that t(a) = 0.
-4, -1, 0
Let c(g) be the second derivative of -1/30*g**4 - 1/5*g**3 - 11*g + 0 + 3/50*g**5 + 1/5*g**2. Factor c(j).
2*(j - 1)*(j + 1)*(3*j - 1)/5
Factor 0 - 14/9*m**2 - 4/9*m - 16/9*m**3 - 2/3*m**4.
-2*m*(m + 1)**2*(3*m + 2)/9
Let y be (-8)/2*(3 - 7). Suppose -x = 3*x - y. Factor 9*u**2 + u**5 + 4*u**5 + 2*u**2 + 2*u + 17*u**x + 17*u**3 + 4*u**3.
u*(u + 1)**3*(5*u + 2)
Let b = 7 - 4. Suppose 0 = -4*u - u + 10. Suppose 3*g**4 - 2*g**4 + 3*g**5 + 2 - g**u - 2 - b*g**3 = 0. Calculate g.
-1, -1/3, 0, 1
Factor 15*k - k**2 + 3*k**2 - 3*k**2 - 14.
-(k - 14)*(k - 1)
Factor -2/13*u**4 + 4/13*u**2 - 2/13*u + 4/13*u**3 - 2/13 - 2/13*u**5.
-2*(u - 1)**2*(u + 1)**3/13
Let l = 50 + -199/4. Factor -3/4*c**4 + 0 - 5/4*c**3 - 1/4*c**2 + l*c.
-c*(c + 1)**2*(3*c - 1)/4
Determine h, given that 0 + 9/5*h**4 + 0*h - 6/5*h**3 - 3/5*h**2 = 0.
-1/3, 0, 1
Let k(s) be the first derivative of 7*s**4/6 - 32*s**3/9 + 11*s**2/3 - 4*s/3 - 6. Factor k(q).
2*(q - 1)**2*(7*q - 2)/3
Let k = -18091/3 + 6091. Let g = -60 + k. Determine n so that 8/3 + g*n**2 + 8/3*n = 0.
-2
Let t(q) = -19*q**3 + 15*q**2 - 3*q. Let u(s) = s**3 + 2*s**3 + s - 7*s**2 + 6*s**3 + 0*s**3. Let n(m) = 6*t(m) + 14*u(m). Factor n(p).
4*p*(p - 1)*(3*p + 1)
Suppose 0 = 5*i - 7*i. Let y(q) be the third derivative of -1/45*q**5 - q**2 + 1/36*q**4 + 0*q + i + 0*q**3. Determine t, given that y(t) = 0.
0, 1/2
Factor -2/3 - 8/3*w**2 + 10/3*w.
-2*(w - 1)*(4*w - 1)/3
Let y(t) = -t**2 + 12*t + 2. Let j be y(12). Find s such that -24*s**3 + 0*s**2 - 32*s - 4*s**4 - 15*s**j - 33*s**2 = 0.
-2, 0
Let s(c) be the second derivative of -c**7/420 + c**6/45 - c**5/12 + c**4/6 + c**3/3 - 2*c. Let l(f) be the second derivative of s(f). Factor l(i).
-2*(i - 2)*(i - 1)**2
Solve -4*v**2 + 25*v**2 - 24*v**4 - 9 + 12*v**4 + 33*v**3 - 33*v = 0 for v.
-1, -1/4, 1, 3
Solve 112/5*a**4 + 0 + 38/5*a**2 + 4/5*a + 32/5*a**5 + 114/5*a**3 = 0.
-2, -1, -1/4, 0
Suppose -2*b = -3*i - 10 - 2, 3*b + 5*i = -1. Factor 16*x**3 + 16 + 2*x**b - 6*x**2 - 12*x**4 + 2*x**2 + 4*x**3 - 24*x + 2*x**5.
2*(x - 2)**3*(x - 1)*(x + 1)
Let x(u) be the first derivative of u**4/12 - u**2/2 - 2*u + 3. Let d(g) be the first derivative of x(g). Factor d(q).
(q - 1)*(q + 1)
Find l such that 30*l**4 - 70*l**3 - 48*l + 10 - 23*l**2 + 15*l + 103*l**2 - 12*l - 5*l**5 = 0.
1, 2
Let f = -74 + 40. Let j = f - -34. Factor j + 10/7*t**3 - 4/7*t**4 + 2/7*t - 8/7*t**2.
-2*t*(t - 1)**2*(2*t - 1)/7
Let v(l) be the first derivative of 2*l**6/15 - 12*l**5/25 + 2*l**4/5 + 8*l**3/15 - 6*l**2/5 + 4*l/5 - 42. Solve v(s) = 0 for s.
-1, 1
Let -1743*f + 4*f**2 + 1703*f + 35 + f**2 = 0. Calculate f.
1, 7
Suppose 2 = p - 9*q + 12*q, 3*p + 3*q = 6. Factor 4/5*i + 2/5*i**p + 2/5.
2*(i + 1)**2/5
Factor -2/11*t**3 - 2/11*t**2 + 2/11 + 2/11*t.
-2*(t - 1)*(t + 1)**2/11
Let w(y) be the second derivative of 5*y**7/21 - 5*y**6/6 + 3*y**5/4 + 5*y**4/12 - 5*y**3/6 - 26*y. Factor w(j).
5*j*(j - 1)**3*(2*j + 1)
Let h(b) = 23*b**3 + 143*b**2 + 413*b + 405. Let d(s) = 8*s**3 + 48*s**2 + 138*s + 135. Let y(u) = -8*d(u) + 3*h(u). Suppose y(t) = 0. Calculate t.
-3
Let v(x) = -3*x**2 + 4*x. Let z(s) = 3*s**2 - 5*s. Let q(o) = 4*v(o) + 5*z(o). Suppose q(m) = 0. Calculate m.
0, 3
Let j(p) be the second derivative of p**8/420 - p**7/105 - p**6/90 + p**5/15 - 5*p**3/6 + 6*p. Let y(t) be the second derivative of j(t). Factor y(o).
4*o*(o - 2)*(o - 1)*(o + 1)
Let n be 2 + 1 - 2/2. Let y(j) be the third derivative of 1/270*j**5 + 0*j + 0 - 2/27*j**3 - n*j**2 + 1/108*j**4. Factor y(u).
2*(u - 1)*(u + 2)/9
Let k be (-1)/5 + 42/180. Let n(l) be the second derivative of -3*l - 1/15*l**3 + 1/50*l**5 - k*l**4 + 1/5*l**2 + 0. Find t such that n(t) = 0.
-1, 1
Let p be (-16)/(-52)*6 + 6/39. Let r(a) be the first derivative of 4 + 0*a + 0*a**p + 1/20*a**5 + 1/12*a**3 - 1/8*a**4. Factor r(f).
f**2*(f - 1)**2/4
Let h = 4 + -1. Let o = 102 - 100. Factor -h*l**o + 5/3*l**3 + 2/3 + 7/3*l**4 - 5/3*l.
(l - 1)*(l + 1)**2*(7*l - 2)/3
Let d(g) = -g**5 - g**3 + g**