s j?
-1, 0, 1
Let b(f) = -1. Suppose -16 = 5*g + 3*l - 5, -5*l + 3 = 3*g. Let n be -1 + 4 - (-8)/g. Let j(s) = -s**2 - 2*s - 1. Let z(w) = n*b(w) - j(w). Factor z(x).
x*(x + 2)
Suppose 19*w - 21 = 17. Factor 4/9*q**3 - 2/9*q**5 - 2/9*q + 2/9*q**4 - 4/9*q**w + 2/9.
-2*(q - 1)**3*(q + 1)**2/9
Let s = 1 + 1. Suppose 2*h = 3 + 1. Factor -2 + 5 + 1 - 2*c**s + 0*c**2 - h*c.
-2*(c - 1)*(c + 2)
Let h(k) be the second derivative of -k**7/168 - k**6/20 - 7*k**5/40 - k**4/3 - 3*k**3/8 - k**2/4 + 12*k. Solve h(c) = 0.
-2, -1
Let u be (780/378 - 2) + 4/18. Determine y so that 4/7*y**2 - u*y**5 - 2/7*y - 2/7 - 2/7*y**4 + 4/7*y**3 = 0.
-1, 1
Let w(a) be the second derivative of -2/21*a**7 + 2/15*a**6 + 0*a**2 + 2*a + 0*a**3 + 0 + 1/5*a**5 - 1/3*a**4. Factor w(l).
-4*l**2*(l - 1)**2*(l + 1)
Let h = 4 + -2. Let p = h - 0. Factor -10*w**3 + 11*w**4 - 2*w**2 - 4*w**p - 3*w**4 - 2 + 10*w.
2*(w - 1)**2*(w + 1)*(4*w - 1)
Let l = 1695/22 - 77. Let g(v) be the first derivative of 2/11*v + 4 - 2/33*v**3 - l*v**4 + 1/11*v**2. Factor g(a).
-2*(a - 1)*(a + 1)**2/11
Let z(r) be the third derivative of r**8/672 - r**7/168 + r**6/120 - r**5/240 - 10*r**2. Find t such that z(t) = 0.
0, 1/2, 1
Suppose 0 = -4*w - 0*v + 3*v - 36, -5*v = 4*w + 36. Let x = w + 13. Factor -5*n**3 - 4*n**4 + x*n**3 - n**2 + n + 5*n**4.
n*(n - 1)**2*(n + 1)
Let n be (-212)/(-480) - 4/10. Let i(c) be the second derivative of 0 - 2*c - 1/12*c**3 + 1/40*c**5 + 1/60*c**6 - n*c**4 + 0*c**2. Suppose i(m) = 0. What is m?
-1, 0, 1
Suppose 4/5*d**3 - 1/5*d**5 - 18/5 - 4/5*d**4 + 22/5*d**2 - 3/5*d = 0. What is d?
-3, -1, 1, 2
Suppose -6*w + 21*w**2 + 2*w - 3*w - 3*w**5 - 27*w**3 + w + 15*w**4 = 0. What is w?
0, 1, 2
Let l = -3 + 13. Find t such that 9*t**3 - l*t**5 + 0 + 26*t**4 - 27*t**3 - 2*t**2 + 0 + 4*t = 0.
-2/5, 0, 1
Let d(c) = -10*c**4 - 6*c**3 + 8*c**2 - 10. Let b(m) = m**4 + m**3 + 1. Let u(j) = 6*b(j) + d(j). Factor u(k).
-4*(k - 1)**2*(k + 1)**2
Let p(s) be the third derivative of s**6/420 + s**5/105 + 5*s**2. Factor p(q).
2*q**2*(q + 2)/7
Let g = 5 - 9/2. Let l(o) be the second derivative of 0*o**2 + 0 - 3*o - 3/20*o**5 - g*o**3 - 1/2*o**4. Suppose l(x) = 0. What is x?
-1, 0
Let i(k) = k**3 + 5*k - 2. Let f(b) = 3*b**3 + b**2 + 11*b - 5. Let m(o) = 2*f(o) - 5*i(o). Factor m(g).
g*(g - 1)*(g + 3)
Let k = -8 + 14. Let u(y) be the third derivative of -1/84*y**7 - 1/120*y**k + 0*y**4 + 2*y**2 + 0*y**3 + 0*y**5 + 0 + 0*y. Determine q so that u(q) = 0.
-2/5, 0
Let w(b) be the second derivative of -8*b**6/15 + 9*b**5/5 - 2*b**4 + 2*b**3/3 - 16*b. Factor w(d).
-4*d*(d - 1)**2*(4*d - 1)
Let k(w) be the second derivative of 1/140*w**6 - 1/105*w**5 + w**2 - 2*w + 0*w**3 + 0 + 0*w**4. Let a(z) be the first derivative of k(z). Factor a(u).
2*u**2*(3*u - 2)/7
Factor 2/21*y**4 + 2/21*y**3 - 2/21*y**2 - 2/21*y + 0.
2*y*(y - 1)*(y + 1)**2/21
Let u be (-13)/(-10) + (-3)/(-9). Let d(p) be the third derivative of 0*p + 0 - 7/3*p**4 + 4/3*p**3 - 2*p**2 + u*p**5. Determine o, given that d(o) = 0.
2/7
Suppose -1 = -d + 1. Find o such that -2*o + d*o**2 - 5*o**2 - 6*o - 4 - o**2 = 0.
-1
Factor -375*o + 152 - 5*o**3 - 38*o**2 - 37*o**2 - 777.
-5*(o + 5)**3
Solve -3*d**3 + 0*d**3 + d - 49*d + 21*d - 18*d**2 - 12 = 0 for d.
-4, -1
Let d(p) = -p**3 - 8*p**2 + 9*p - 6. Let t be d(-9). Let l(u) = u**3 + 5*u**2 - 5*u + 8. Let w be l(t). Factor -w*v**2 - 4*v + 2*v + 4*v**2 - 4*v**2.
-2*v*(v + 1)
Let f(r) be the second derivative of 3*r**5/50 - 7*r**4/20 + 7*r**3/10 - 3*r**2/5 - 7*r. Factor f(u).
3*(u - 2)*(u - 1)*(2*u - 1)/5
Let b(f) = -36*f**3 - 84*f**2 - 78*f + 15. Let m(q) = -5*q**3 - 12*q**2 - 11*q + 2. Let k(o) = -2*b(o) + 15*m(o). Find h, given that k(h) = 0.
-3, -1, 0
Let l(j) be the first derivative of 2*j + 1/6*j**4 + 0*j**3 + 0*j**2 - 1. Let i(h) be the first derivative of l(h). Factor i(b).
2*b**2
Let s(p) be the second derivative of 9/20*p**5 + 0 - p + 0*p**2 - 1/4*p**4 + 0*p**3 - 3/10*p**6 + 1/14*p**7. Solve s(q) = 0 for q.
0, 1
Let s be (4/6)/((-12)/(-9)). Let w - 1 - s*w**3 + 3/4*w**2 - 1/4*w**4 = 0. What is w?
-2, 1
Suppose 0 = 5*o - 5*l - 5, 7 = -o - 0*l + 3*l. Suppose 1 - 8*h - 7 - 2*h**4 - o*h**2 + 4*h**3 - 2 + 11*h**2 = 0. What is h?
-1, 2
Factor 0 + 1/4*l**2 + 0*l.
l**2/4
Let m(z) be the second derivative of 0 + 2*z + 0*z**2 - 2/15*z**3 + 1/75*z**6 + 1/6*z**4 - 2/25*z**5. Factor m(q).
2*q*(q - 2)*(q - 1)**2/5
Let 8*n - 11*n**3 - 4*n**2 + 3*n**3 + 2*n**4 + 2*n**4 = 0. What is n?
-1, 0, 1, 2
Let a(q) be the first derivative of 1/5*q**2 + 0*q**3 - 1/5*q - 7 + 1/25*q**5 - 1/10*q**4. Let a(f) = 0. What is f?
-1, 1
Solve 21/2*u + 147/4 + 3/4*u**2 = 0.
-7
Let y(s) be the second derivative of -s**7/630 + s**5/90 - s**3/18 - 3*s**2/2 - 3*s. Let x(z) be the first derivative of y(z). Determine g, given that x(g) = 0.
-1, 1
Suppose m = 2 - 0. Let r(y) = y - 1. Let o(q) = -25*q**2 + 15*q + 1. Let n be 10/(-4)*8/(-2). Let s(u) = m*o(u) + n*r(u). Determine a, given that s(a) = 0.
2/5
Let b(a) be the first derivative of -2/5*a**5 - 2*a + 1/3*a**6 - 2 + 4/3*a**3 + a**2 - a**4. Determine v so that b(v) = 0.
-1, 1
Factor z**5 + 3*z**3 - 3*z**3 + 7*z**2 - z**3 - 3*z**4 + 0*z**5 - 4.
(z - 2)**2*(z - 1)*(z + 1)**2
Let f be (-4)/(-8)*(-1 - -7). Factor -2*o**2 + 0 - o + 1 + o**2 - 6*o**f + 7*o**3.
(o - 1)**2*(o + 1)
Let d(a) be the third derivative of a**7/140 + a**6/90 - a**5/60 - a**3/2 - 3*a**2. Let j(v) be the first derivative of d(v). Factor j(g).
2*g*(g + 1)*(3*g - 1)
Let i(m) be the second derivative of 3*m + 0 + 0*m**3 - 1/30*m**5 + 1/45*m**6 + 0*m**4 + 0*m**2. Factor i(s).
2*s**3*(s - 1)/3
Let c(f) be the second derivative of -f**7/147 - 2*f**6/105 - f**5/70 + 12*f. Let c(a) = 0. What is a?
-1, 0
Factor 10*c + 3 + 3*c**2 + 11*c - 3 + 18.
3*(c + 1)*(c + 6)
Let q(s) = s**3 + 4*s**2 + 4*s + 2. Let w be q(-2). Suppose 3*h = -w*h. What is n in -2/7*n + 2/7*n**2 + h = 0?
0, 1
Let o = -209 + 214. Solve 1/3*i - 1/3*i**4 - 1/3 - 2/3*i**3 + 1/3*i**o + 2/3*i**2 = 0 for i.
-1, 1
Let w(m) = m**5 - m**2 - 1. Let v(r) = 3*r**5 + 4*r**4 - 2*r**3 - 8*r**2 + 3*r - 4. Let u(k) = -v(k) + 4*w(k). Factor u(x).
x*(x - 3)*(x - 1)**2*(x + 1)
Let p(b) be the second derivative of 1/27*b**4 - 1/18*b**5 + 0*b**2 + 4*b + 0 - 7/135*b**6 + 0*b**3. Factor p(o).
-2*o**2*(o + 1)*(7*o - 2)/9
Let t(w) = 6*w**2 - 24*w + 29. Let n(m) = -4*m - 3. Let u be n(-2). Let a(c) = -3*c**2 + 12*c - 14. Let l(d) = u*a(d) + 2*t(d). Suppose l(f) = 0. What is f?
2
Let d(m) = 5*m + 3. Let w be d(-1). Let o be 18/(-5) + 6 + w. Determine p so that 8/5*p + 0*p**2 + o*p**4 + 0 - 6/5*p**3 = 0.
-1, 0, 2
Let b(u) be the first derivative of -u**6/10 + 9*u**5/25 - 3*u**4/10 - 17. Factor b(d).
-3*d**3*(d - 2)*(d - 1)/5
Let w(h) be the second derivative of h**5/80 - h**4/48 - h**3/24 + h**2/8 - 9*h. Factor w(s).
(s - 1)**2*(s + 1)/4
Suppose -13*r**2 - 4*r**3 - 67 - 2*r**3 - r**4 + 63 - 12*r = 0. What is r?
-2, -1
Let w = -25 - -25. Let g = 1/5 + w. Solve 0 + 0*y - g*y**2 = 0 for y.
0
Let h(o) = -5*o**5 - 95*o**4 - 65*o**3 + 15*o**2 + 15. Let l(d) = d**5 + 24*d**4 + 16*d**3 - 4*d**2 - 4. Let r(z) = 4*h(z) + 15*l(z). Factor r(x).
-5*x**3*(x + 2)**2
Let i(c) be the first derivative of c**6/30 - c**5/5 - c**2/2 + 2. Let x(v) be the second derivative of i(v). Let x(s) = 0. What is s?
0, 3
Determine j so that 2/3*j**2 + 0*j + 2*j**4 - 2/3*j**5 - 2*j**3 + 0 = 0.
0, 1
Let y(p) = -3*p - 3*p + p + 2*p - p**2. Let f(l) = -2*l**2 - 5*l. Let b = 4 - 9. Let z(u) = b*y(u) + 3*f(u). Factor z(o).
-o**2
Let m = -7 - -19. Suppose -5*v + 3 = -m. Suppose 5*n**4 - 3*n**2 + 5*n + 7*n - 7*n**v - 4*n - 2 - n = 0. What is n?
-1, 2/5, 1
Suppose -5*n + 5 = 2*a + 1, 3*n = -a + 3. What is x in 12*x**2 + 6*x**5 - 2*x - n + x**3 - 6*x**3 - 10*x**4 + x**3 = 0?
-1, -1/3, 1
Let h(l) = -7*l**5 - 19*l**3 + 18*l**2 - 10*l - 6. Let b(o) = 6*o**5 - o**4 + 18*o**3 - 17*o**2 + 9*o + 5. Let d(c) = 6*b(c) + 5*h(c). Let d(q) = 0. What is q?
0, 1, 2
Let y = -2997/10 + 300. Let i(n) be the second derivative of n - y*n**4 - 1/5*n**2 + 0 - 2/5*n**3. Suppose i(s) = 0. What is s?
-1/3
Solve 1/4 + 1/2*o**2 + 3/4*o = 0 for o.
-1, -1/2
Suppose -2*q - q + 57 = 0. Suppose 5 + q = 3*m. Solve -2*g**3 - 2*g - 10*g**4 + g**3 + 10*g**2 + m*g**5 - 6*g**3 + g**3 = 0 for g.
-1, 0, 1/4, 1
Suppose 0 = -3*w - 2 + 5. Let c be ((-18)/(-135))/(w/5). 