(h - 1)**2*(h + 1)
Let y be 2*((-9)/6 + 3). Suppose m = -y*m + 8. Factor -24/7*r + 8/7 - 2*r**m.
-2*(r + 2)*(7*r - 2)/7
Let f(u) be the first derivative of u**6/2 - 3*u**5/5 - 3*u**4/2 + 2*u**3 + 3*u**2/2 - 3*u + 24. Factor f(y).
3*(y - 1)**3*(y + 1)**2
Factor 0 - 3/5*y**2 - 6/5*y.
-3*y*(y + 2)/5
Let i(l) be the third derivative of l**5/330 + l**4/44 + 2*l**3/33 + 19*l**2. Solve i(b) = 0.
-2, -1
Let f = -21 + 65/3. Factor 0 + f*j**4 + 0*j + 4/3*j**3 + 2/3*j**2.
2*j**2*(j + 1)**2/3
Let t(w) be the second derivative of w**8/2016 - w**7/420 + w**6/540 - w**3/2 - 3*w. Let r(s) be the second derivative of t(s). Factor r(d).
d**2*(d - 2)*(5*d - 2)/6
Solve 5/3*s**3 - s**2 - 1/3*s**4 + 0 - 3*s = 0.
-1, 0, 3
Let 9*l + l**2 + 3*l**2 - 35*l + 14*l + 8 = 0. What is l?
1, 2
Let n be (-7 + (-2 - -4))/(7/(-2)). Let 2/7*g**3 + 8/7*g**2 + n*g + 4/7 = 0. What is g?
-2, -1
Let r(k) = -k - 8. Suppose -2*y - 10 = 0, -4*z - 4 = -z - 4*y. Let q be r(z). Factor 2/3*x**4 + 0*x + q*x**2 + 0 - 1/3*x**3 - 1/3*x**5.
-x**3*(x - 1)**2/3
Let t = -74 + 372/5. Find m, given that t - 12/5*m**2 + 2*m = 0.
-1/6, 1
Let g = -308/195 + 26/15. Factor 2/13*r**2 + g*r**3 + 0 + 0*r.
2*r**2*(r + 1)/13
Let u(m) = -m**3 + 7*m**2 + m - 3. Let c be u(7). Let o be (2/c)/((-1)/(-6)). Let -6*x**2 + 1 - 2*x + 0*x**o - 1 - 4*x**3 = 0. What is x?
-1, -1/2, 0
Suppose -4*n = -n - 24. Factor -i**3 + 0*i + i**2 - 27*i + 7 + n*i**2 + 20.
-(i - 3)**3
Factor -3*h + 5*h**2 - 1 + 1 - 12*h.
5*h*(h - 3)
Solve 15/2*o - 6*o**2 + 3/2*o**3 - 3 = 0 for o.
1, 2
Suppose -8 = -2*b - 2. Suppose 11*g - 68 = -13. Suppose -3/2*w**b + 1/2*w**4 + 0 + w + 1/2*w**g - 1/2*w**2 = 0. Calculate w.
-2, -1, 0, 1
Suppose 5*r - 12 = -c, 2*r - r - 2*c = 9. Let 0*m + 2/7*m**2 - 6/7*m**r - 2/7*m**5 + 0 + 6/7*m**4 = 0. Calculate m.
0, 1
Factor -9 + 4*a**2 - 4*a**2 - 3*a**2 + 3 + 9*a.
-3*(a - 2)*(a - 1)
Let q(g) be the first derivative of -49*g**4/18 - 14*g**3/9 + 8*g**2/3 - 8*g/9 - 23. Let q(r) = 0. What is r?
-1, 2/7
Let b(a) = -3*a**4 + 6*a**3 + a**2 - 4. Let o(d) be the first derivative of -d**5/5 + d**4/4 - d - 2. Let t(u) = -b(u) + 4*o(u). Factor t(z).
-z**2*(z + 1)**2
Let a(k) = k**3 - 5*k**2 - 4*k + 12. Let s(g) = -g**3 - g**2 + g. Let p(j) = a(j) + 4*s(j). Solve p(w) = 0 for w.
-2, 1
Let g be (9/(-12))/((-18)/16). Let l be ((3 + -2 - 3)/3)/(-1). Determine b so that 4/3*b**3 - 2/3 - g*b**5 - 2/3*b - l*b**4 + 4/3*b**2 = 0.
-1, 1
Determine d, given that 16/15*d**3 + 2*d**2 - 32/15 + 2/15*d**4 - 16/15*d = 0.
-4, -1, 1
Factor 4/17*v - 6/17*v**2 + 2/17*v**4 + 0*v**3 + 0.
2*v*(v - 1)**2*(v + 2)/17
Let k(o) be the second derivative of 3*o**5/50 - 7*o**4/20 + 7*o**3/10 - 3*o**2/5 - o + 18. Suppose k(a) = 0. Calculate a.
1/2, 1, 2
Let l(d) be the first derivative of 3/5*d**5 - 2 - 1/2*d**4 - 1/6*d**6 - 2/3*d**3 - d + 3/2*d**2. Determine w, given that l(w) = 0.
-1, 1
Find q such that 97*q + 0*q**2 - 106*q + 3*q**2 = 0.
0, 3
Let m(a) be the second derivative of a**7/126 - a**6/15 + 2*a**5/15 + a**4/6 - a**3/2 + 2*a + 32. Factor m(i).
i*(i - 3)**2*(i - 1)*(i + 1)/3
Factor 9021*f**3 + 40 + 1862*f**2 + 660*f - 2366*f**3 + 1768*f**2.
5*(11*f + 2)**3
Let k be (-8)/(-3)*(-12)/(-8). Determine y so that -y**4 - 3*y**3 - 2*y**2 - 2*y**2 - 1 - 2*y**2 - y**3 - k*y = 0.
-1
Let d(m) = -2*m - 10. Let l be d(-7). Determine k, given that -24*k**3 + 22*k**3 + 50*k**3 - 3*k - k**2 - 48*k**4 + l*k**2 = 0.
-1/4, 0, 1/4, 1
Let y(i) = 42*i**3 + 30*i**2 - 88*i + 24. Let d(o) = -14*o**3 - 10*o**2 + 29*o - 8. Let q = 1 - -2. Let j(p) = q*y(p) + 8*d(p). Factor j(s).
2*(s - 1)*(s + 2)*(7*s - 2)
What is z in 0*z**2 + 0*z - 3/4*z**5 + 0 + 3/4*z**4 + 0*z**3 = 0?
0, 1
Let l be (12/(-3 - 0))/(1 + -3). Determine w so that -2/5 + 2/5*w**4 + 0*w**l - 4/5*w + 4/5*w**3 = 0.
-1, 1
Determine x so that -42*x - 3 - 59 - 3*x**2 - 85 = 0.
-7
Suppose 0 = -4*r + 2 + 38. Suppose 2*n + 4*u + 20 = 0, 4*n = 2*n - 2*u - r. Let 2*g**3 + 4/3*g + 10/3*g**2 + n = 0. What is g?
-1, -2/3, 0
Suppose 0 = d + 2*b - 1 - 2, 13 = -3*d + 5*b. Let v be (-14)/(-8) + d/(-4). Suppose -3/2*z - 1/2*z**3 + 1/2 + 3/2*z**v = 0. What is z?
1
Let r(a) be the first derivative of a**5/10 - a**4/4 + a**3/6 + 3. Factor r(n).
n**2*(n - 1)**2/2
Let v be 90/20*(-2)/(-18). Determine p so that -p**4 + 0 + p**2 + 0*p**3 + 1/2*p - v*p**5 = 0.
-1, 0, 1
Let r(c) be the first derivative of c**4/4 + 7*c**3/3 - 9*c**2/2 - 4*c - 5. Let y be r(-8). What is u in 2/7*u**3 + 0 + 2/7*u**2 - 2/7*u**y - 2/7*u = 0?
-1, 0, 1
Let m = -180 + 902/5. Factor -1/5*a**3 + 0 - 3/5*a**2 - m*a.
-a*(a + 1)*(a + 2)/5
Determine b so that -3*b**2 + 36 - 34 + b**2 - 3*b + 3*b**2 = 0.
1, 2
Let q = 449/588 + -2/147. Let -3/4 + 3/4*k - q*k**3 + 3/4*k**2 = 0. Calculate k.
-1, 1
Let m = 781/5 + -156. Factor -m*j + 0*j**2 + 0 - 1/5*j**5 + 2/5*j**3 + 0*j**4.
-j*(j - 1)**2*(j + 1)**2/5
Let 14*h**2 + h**3 + 16 + 28*h + h**3 + 0*h**3 = 0. What is h?
-4, -2, -1
Let d be 6/9 - 12/(-9). Factor w + 1/4*w**d + 1.
(w + 2)**2/4
Let t(h) be the first derivative of 3*h**5/10 - 3*h**4/4 + 3*h**2/2 - 3*h/2 - 5. Determine p so that t(p) = 0.
-1, 1
Let m = 173 - 173. Let y(k) be the second derivative of m + 0*k**3 + 0*k**2 + k + 0*k**4 + 3/20*k**5 + 1/10*k**6. Let y(d) = 0. Calculate d.
-1, 0
Let u(c) be the second derivative of -c**7/630 + c**6/180 - 5*c**4/12 + 3*c. Let s(r) be the third derivative of u(r). Let s(k) = 0. Calculate k.
0, 1
Suppose 2*p = -7*p - 2*p. Factor 1/5*a**2 + 0*a + p.
a**2/5
Let v(q) be the first derivative of -5/9*q**3 - 5 - 4/3*q - 1/12*q**4 - 4/3*q**2. Solve v(r) = 0 for r.
-2, -1
Let n(p) be the first derivative of 0*p - 3/8*p**2 - 1/4*p**3 - 4 + 3/16*p**4 + 3/20*p**5. Factor n(f).
3*f*(f - 1)*(f + 1)**2/4
Let b(y) = -y**2 - 12*y + 32. Let w be b(-14). Let c(z) be the second derivative of 0*z**2 - 1/24*z**w + 0 + 0*z**3 + 4*z. Let c(i) = 0. What is i?
0
Let g(y) = 4*y. Let u be g(1). Let f(d) be the second derivative of 0*d**2 + 0*d**u + 3*d + 0*d**3 - 1/15*d**6 - 1/10*d**5 + 0. Suppose f(x) = 0. What is x?
-1, 0
Let t(r) = 15*r**4 + r**3 + 37*r**2 - 20*r + 19. Let f(o) = -7*o**4 - 18*o**2 + 10*o - 9. Let n(m) = -13*f(m) - 6*t(m). Factor n(w).
(w - 3)*(w - 1)**3
Let x = -10 - -11. Let h be (-756)/(-14)*x/10. Find y such that -21/5*y**2 - h*y**3 - 3/5*y**5 - 3*y**4 - 6/5*y + 0 = 0.
-2, -1, 0
Let s(h) be the second derivative of 0*h**3 - h + 1/210*h**5 - 1/420*h**6 + 0*h**4 + 0 - h**2. Let m(x) be the first derivative of s(x). What is g in m(g) = 0?
0, 1
Factor 0*l**2 + 0 - 2/7*l**3 + 0*l - 2/7*l**4.
-2*l**3*(l + 1)/7
Let j = -2 - -3. Let h be 1 - 0 - (-2)/j. What is p in -p**h + 0 - 1 + 1 - p**2 = 0?
-1, 0
Factor -3/4*s + 1/4*s**2 + 1/2.
(s - 2)*(s - 1)/4
Suppose 2*c = 2*l, -5*l = 5*c - l - 18. Factor 3*m**5 - 4*m**5 - 2*m**4 - m**c + 3*m**2 + m.
-m*(m - 1)*(m + 1)**3
Let m(i) = -i**2 + 5*i - 3. Let b be m(4). Let f = b - -2. Factor -2/3*v**2 + 1/3*v + 1/3*v**f + 0.
v*(v - 1)**2/3
Let b(q) be the second derivative of 5*q**4/12 + q**3/3 - 14*q. Solve b(d) = 0.
-2/5, 0
Let s(i) be the third derivative of i**7/420 - i**5/60 + 4*i**3/3 + 7*i**2. Let d(a) be the first derivative of s(a). Suppose d(r) = 0. Calculate r.
-1, 0, 1
What is i in 3/2*i**2 + 0*i + 1/2*i**4 + 0 - 2*i**3 = 0?
0, 1, 3
Let x(w) be the first derivative of w**4/10 + 4*w**3/15 + w**2/5 - 16. Find u, given that x(u) = 0.
-1, 0
Let q(o) be the second derivative of -o**6/90 + o**4/18 - o**2/6 - 6*o - 4. Factor q(y).
-(y - 1)**2*(y + 1)**2/3
Let q(m) be the first derivative of -4*m**3/15 + 22*m**2/5 - 72*m/5 + 6. Solve q(j) = 0.
2, 9
Let r = -1 + 5. Factor -4*b**2 + 2*b**3 + 4*b**4 + 2*b**r + 0*b**3.
2*b**2*(b + 1)*(3*b - 2)
Let i be (2/(-140))/((-18)/18). Let x(t) be the second derivative of t - 1/21*t**3 + 1/42*t**4 + i*t**5 + 0 - 1/7*t**2. Determine o, given that x(o) = 0.
-1, 1
Let o(j) = j**5 + j**3 + j**2 - j - 1. Let y(d) = -4*d**2 + 6*d + 0*d**2 + d**5 - 3*d**3 - 5*d + 1 + 3*d**2. Let z(l) = o(l) + y(l). Find a such that z(a) = 0.
-1, 0, 1
Let m(p) be the second derivative of -p**5/20 - 5*p**4/12 - p**3/2 + 9*p**2/2 - 32*p. Factor m(l).
-(l - 1)*(l + 3)**2
Let x(v) be the second derivative of -v**6/45 + v**4/18 - 43*v. Find d, given that x(d) = 0.
-1, 0, 1
Let o(u) be the first derivative of u**6/4 - 6*u**5/5 + 15*u**4/8 - u**3 - 5. Suppose o(q) = 0. What is q?
0, 1, 2
Let z