 j(h) = -7*m(h) + 2*x(h). Factor j(q).
q*(q - 1)*(q + 1)**2
Let t(l) = l**2 - 4*l + 2. Let j be 1 - (-2 + 2) - -5. Let z(k) = k**2 - 5*k + 3. Let q(c) = j*t(c) - 4*z(c). What is u in q(u) = 0?
0, 2
Factor 0 - 3*x + 9/2*x**2 + 15/2*x**3.
3*x*(x + 1)*(5*x - 2)/2
Let j = 67/142 + 2/71. Find d, given that j - 9/4*d + 5/2*d**2 - 3/4*d**3 = 0.
1/3, 1, 2
Suppose r + 6 = 6. Let p(i) be the first derivative of -1 - 1/15*i**5 + r*i + 1/18*i**6 + 0*i**2 + 1/9*i**3 - 1/12*i**4. What is s in p(s) = 0?
-1, 0, 1
Let g(s) = 14*s**3 + s**2 - 1. Let z be g(1). Determine c, given that 16*c**2 - c**5 + 3*c**5 + z*c**3 + 18*c**3 + 20*c**4 + 2*c**5 = 0.
-2, -1, 0
Find n such that 16/3*n**3 - 56/3*n**2 + 16/3*n + 4*n**4 + 4 = 0.
-3, -1/3, 1
Let p(y) = -6*y**4 - 34*y**3 - 74*y**2 - 70*y - 24. Let z(d) = -d**4 - d**3 + d**2 + d. Let k(a) = p(a) - 4*z(a). Determine n, given that k(n) = 0.
-12, -1
Let a(c) be the third derivative of 5*c**2 + 0 + 1/315*c**7 + 0*c - 2/9*c**3 - 1/12*c**4 + 1/90*c**5 + 1/60*c**6. Let a(n) = 0. Calculate n.
-2, -1, 1
Let g(s) be the first derivative of -5*s**3 + 5*s**2/2 + 10*s + 42. Solve g(b) = 0 for b.
-2/3, 1
Let m = 161/195 + -1/39. Suppose -2*b + 5*j = -13 - 12, j + 5 = -3*b. Factor b + 4/5*q**2 + 1/5*q**3 + m*q.
q*(q + 2)**2/5
Let k(r) be the third derivative of -13*r**5/60 - r**4/2 - r**2. Let f(x) = 9*x**2 + 8*x. Let l(g) = 7*f(g) + 5*k(g). Determine n so that l(n) = 0.
-2, 0
Let y be (310/(-217))/(5/7 + -2). Factor y*g**2 + 16/9*g - 8/9.
2*(g + 2)*(5*g - 2)/9
Let j = 3/20 + 11/60. Let f(r) be the first derivative of -j*r**3 + 2*r - 1/2*r**2 + 2. Factor f(i).
-(i - 1)*(i + 2)
Let u(v) = 7*v**5 + 2*v**4 - 6*v**3 - 15*v**2 - 4*v - 5. Let n(j) = j**5 - j**2 - 1. Let m be 3/(-1)*(-50)/(-15). Let c(s) = m*n(s) + 2*u(s). Solve c(x) = 0.
-1, 0, 2
Suppose 0 = b + 3*b - 32. Let v be (2/b)/(7/140). Factor 0*q**2 + 0*q**4 + 0*q - 1/2*q**3 + 0 + 1/2*q**v.
q**3*(q - 1)*(q + 1)/2
Let c(k) be the first derivative of 0*k + 1/13*k**2 - 2/65*k**5 + 2/39*k**3 - 1 - 1/26*k**4. Determine o so that c(o) = 0.
-1, 0, 1
Let h(m) be the third derivative of -m**6/480 - m**5/40 - m**4/8 + m**3 - 2*m**2. Let a(l) be the first derivative of h(l). Factor a(g).
-3*(g + 2)**2/4
Let o(m) = m**2 + m - 1. Suppose 8*c - 5*c = 0. Let f be 8/(-6)*(c - -3). Let r(x) = -6*x**2 - 8*x + 4. Let a(z) = f*o(z) - r(z). Factor a(q).
2*q*(q + 2)
Let c(u) be the third derivative of 0 + 0*u**4 + 1/15*u**5 + 0*u - 4*u**2 + 0*u**3 + 7/60*u**6. Suppose c(i) = 0. Calculate i.
-2/7, 0
Let z = 19 - 9. Let h = -8 + z. Factor m**2 - 2*m**h + 3*m**2 + 5*m**3 - m**3.
2*m**2*(2*m + 1)
Let d be ((-9)/14)/(12/(-42)). Determine q, given that q - 11/4*q**3 + d*q**5 + 3/2*q**4 + 0 - q**2 = 0.
-1, 0, 2/3
Let t(w) = 8*w + 1. Let p be t(-7). Let z = p - -167/3. Solve 2/3*a + 0 - z*a**2 = 0.
0, 1
Let c(a) be the second derivative of a**6/285 + a**5/38 + 3*a**4/38 + 7*a**3/57 + 2*a**2/19 - 7*a. Factor c(h).
2*(h + 1)**3*(h + 2)/19
Let x(t) = 7*t**5 + 7*t**4 - 6*t**3 - 10*t**2 - t - 1. Let c(k) = -20*k**5 - 20*k**4 + 18*k**3 + 29*k**2 + 2*k + 2. Let n(g) = 4*c(g) + 11*x(g). Factor n(w).
-3*(w - 1)**2*(w + 1)**3
Let m be 7 - (7 + -3 - 0). Determine f so that 0 - 3/7*f**4 + 3/7*f**2 + 0*f**m + 0*f = 0.
-1, 0, 1
Suppose -5*g + 5*k = -35, 5*g - k - 25 = 22. Suppose z + 7 = x, -5*x + z = g - 25. Find q, given that -2 + 11*q**2 - 6*q**4 + 4*q**4 - 7*q**x = 0.
-1, 1
Let c = -258/5 + 52. Solve c - 11/5*h - 4/5*h**4 + 12/5*h**2 + 1/5*h**3 = 0 for h.
-2, 1/4, 1
Suppose -3*y = 3*n - 24, 3*y - 28 = 3*n - 4*n. Suppose 2*f - 2*i = 4 + y, 2*i = -8. Solve -g**2 + 2*g**2 + 3*g**2 - 2*g**f + 0*g - 2*g = 0 for g.
0, 1
Factor 0*p + 8/9*p**5 + 10/9*p**3 + 2/9*p**2 + 16/9*p**4 + 0.
2*p**2*(p + 1)*(2*p + 1)**2/9
Let q(t) = -t**5 + t**2 - 1. Let p(c) = 4*c**4 - 8*c**3 - 14*c**2 - 2. Let s(x) = -p(x) + 2*q(x). Factor s(m).
-2*m**2*(m - 2)*(m + 2)**2
Let c be 6/(-144) + 2/16. Let h(p) be the second derivative of 4*p + 0 - 1/40*p**5 + c*p**3 - 1/4*p**2 + 1/24*p**4. Solve h(o) = 0 for o.
-1, 1
Let j(p) be the first derivative of p**3 - 15*p**2/2 - 18*p + 31. Suppose j(o) = 0. Calculate o.
-1, 6
Suppose i = -4*i + 35. Let u be i + -6 + (-2)/4. Solve 0 - u*k**3 - 2*k - 2*k**2 = 0 for k.
-2, 0
Let b(x) be the first derivative of -x**5 + 15*x**4/4 - 5*x**3/3 - 15*x**2/2 + 10*x + 5. Factor b(r).
-5*(r - 2)*(r - 1)**2*(r + 1)
Let o(z) = -2*z**3 + z**2 + z. Let t be o(-1). Solve -2*g**3 - 3*g**2 + 0*g**3 - g**2 + 2*g**t = 0 for g.
-1, 0
What is h in 3/4*h - 1/4*h**5 + 0*h**4 + 3/2*h**3 + 0 - 2*h**2 = 0?
-3, 0, 1
Let i be -1 + -1 + (12 - 0). Let v = i - 4. Factor 0*h**4 - 2*h**3 - 4*h + h**4 - 2*h**3 + v*h**2 + 0*h**3 + 1.
(h - 1)**4
Solve 9*r**3 - 36*r**3 - 87*r**2 - 7 - 5 - 72*r = 0.
-2, -1, -2/9
Suppose -1 = -3*o + 5. Solve 4*n + 6*n**o + n**3 + 2*n**3 - n**3 = 0.
-2, -1, 0
Let s be (-1)/3 + (-19)/(-3). Suppose -2*m + s = m. Let 2 - 1 - t**m - 5 + 4*t = 0. Calculate t.
2
Let l = -176 + 274. Let n = 205/2 - l. Solve 6*t + 3*t**4 + 0 - n*t**3 - 6*t**2 + 3/2*t**5 = 0.
-2, 0, 1
Suppose 2 = b - 0. Suppose -4*n + n = -6. Let d**5 - d + 3*d + 0*d**b - d**n + d**4 - 3*d**3 = 0. What is d?
-2, -1, 0, 1
Suppose 5*v - 24 = 1. Suppose -3 + 5 = a - v*n, 0 = a + 2*n - 2. What is c in 0 + 1/5*c + 1/5*c**a - 1/5*c**3 - 1/5*c**4 = 0?
-1, 0, 1
Let m(t) be the first derivative of 2*t**3/3 + t**2 + 2. Suppose m(p) = 0. What is p?
-1, 0
Let s(n) = -4*n**3 + 9*n + 9. Suppose 5*o + 0 = -30. Let m be s(o). Find l such that 667*l**2 + 1608*l**3 + 147*l**5 + 653*l**2 + 19 + 432*l + 29 + m*l**4 = 0.
-2, -1, -2/7
Let n = -153 - -156. Factor 10/7*u**n + 4/7*u**2 + 2/7*u**5 + 8/7*u**4 + 0*u + 0.
2*u**2*(u + 1)**2*(u + 2)/7
Suppose 5*z - 6*g + g = 35, -3*z + 5*g = -31. Suppose -2*j - 4*j - 2*j**2 + 6*j + z = 0. Calculate j.
-1, 1
Let j(m) be the first derivative of m**6/24 + 7*m**5/20 + 9*m**4/8 + 5*m**3/3 + m**2 - 5. Factor j(c).
c*(c + 1)*(c + 2)**3/4
Suppose -3*c - 9 = 0, 4*l + 5*c - c + 4 = 0. Factor l*f**3 - 2 - 4*f + 2*f**3 - 2*f**4 + 4.
-2*(f - 1)**3*(f + 1)
Determine l so that -36*l**2 - 24 - 3/2*l**4 - 48*l - 12*l**3 = 0.
-2
Let o = 288 + -286. Let t be ((-58)/(-5))/2 + -1. Factor -12/5*a**o - t*a - 2/5*a**3 - 16/5.
-2*(a + 2)**3/5
Solve -k**2 - 2*k**2 + 2*k**2 + 3*k**2 = 0.
0
Let y(d) be the third derivative of d**6/210 + 8*d**5/105 + d**4/2 + 12*d**3/7 + 8*d**2. Factor y(a).
4*(a + 2)*(a + 3)**2/7
Let k(n) be the third derivative of -n**6/40 + n**5/20 - 14*n**2. Let k(d) = 0. Calculate d.
0, 1
Let y(m) be the first derivative of 1/12*m**3 - 3/4*m**2 + 9/4*m + 4. Let y(v) = 0. What is v?
3
Factor -15*y + 14*y + y**3 + 0*y**3.
y*(y - 1)*(y + 1)
Let y = -8 + 13. Find x such that 0*x**2 - 6 + x**2 + y = 0.
-1, 1
Let z be 0 - (-1 - (-13)/15). Let v = z + 1/5. Find g such that 1/3*g**2 + v - 2/3*g = 0.
1
What is s in 4*s - 2*s**2 - 2 + s**2 - s**2 = 0?
1
Let n(j) be the first derivative of j**4/10 - 2*j**3/5 - 9*j**2/5 - 2*j + 26. Factor n(l).
2*(l - 5)*(l + 1)**2/5
Let d(l) = 0*l**2 - 3*l**2 - 8 + l**2 - 11*l. Let z be d(-4). What is i in 0 + i - 3/2*i**z + 4*i**3 - 7/2*i**2 = 0?
0, 2/3, 1
Let g(d) be the first derivative of -2*d**6/27 + 8*d**5/45 + d**4/9 - 8*d**3/27 + 9. Suppose g(j) = 0. What is j?
-1, 0, 1, 2
Let k(f) be the second derivative of 0 + 0*f**2 - 1/6*f**4 - f - 1/3*f**3. What is i in k(i) = 0?
-1, 0
Suppose 3*a - a - 6 = 0. Factor 0*w + 1/5*w**2 + 1/5*w**4 - 2/5*w**a + 0.
w**2*(w - 1)**2/5
Let g(q) = 48*q**2 + 111*q - 78. Let c(i) = 7*i**2 + 16*i - 11. Let m(h) = -27*c(h) + 4*g(h). Factor m(o).
3*(o - 1)*(o + 5)
Let z(h) be the third derivative of h**6/180 + 2*h**2. Factor z(t).
2*t**3/3
Let p = 383/8925 - -2/425. Let w(l) be the second derivative of -p*l**3 + l + 1/105*l**6 + 0 - 3/70*l**5 + 1/14*l**4 + 0*l**2. Factor w(s).
2*s*(s - 1)**3/7
Let x(s) be the third derivative of -s**5/510 + s**4/51 - 4*s**3/51 - 10*s**2. Factor x(k).
-2*(k - 2)**2/17
Let s(x) = -x**3 - x**2 - 1. Let b(i) = 6*i**3 + 16*i**2 - 27*i + 34. Let f(c) = -4*b(c) - 28*s(c). Let f(h) = 0. Calculate h.
3
Factor -34*s + 34*s - s**2 - s**4 + 2*s**3.
-s**2*(s - 1)**2
Determine t, given that 58/9*t - 2/3*t**2 + 20/9 = 0.
-1/3, 10
Suppose 5*c = -4*p - p + 25, 20 = c - 4*p. Let g(i) be the first derivative of -3/2*i**4 + 21/5*i**5 - 4 - 3*i**2 + 3*i - c*i**3 + 2*i**6. Factor 