**4 + 16*l**2 - 32*l**4 - u*l**3 = 0.
-2, 0, 2/5
Suppose 6*u = u + 4*j - 6, -j + 4 = 0. Factor 0*o**3 - 2*o**u + o**3 - 13*o**3 - 4*o**4 - 6*o**2.
-4*o**2*(o + 1)*(o + 2)
Let -9/4*z**5 - 39/2*z**4 - 225/4*z - 87*z**2 - 123/2*z**3 - 27/2 = 0. Calculate z.
-3, -1, -2/3
Let k(m) be the second derivative of -2*m + 1/3*m**3 - 1/4*m**2 - 1/6*m**4 + 0. Factor k(z).
-(2*z - 1)**2/2
Let w be (-21)/(-14)*2 - (-5)/(-2). Let 0*t + 3/2*t**4 + w*t**5 + 1/2*t**2 + 0 + 3/2*t**3 = 0. What is t?
-1, 0
Suppose h**2 - 26*h**2 + 2*h**3 - 7*h**3 = 0. Calculate h.
-5, 0
Determine r, given that 0*r - 1/2*r**2 + 3/4*r**3 + 0 - 1/4*r**4 = 0.
0, 1, 2
Let i be (1 - 3)/(-2) - 4. Let u be (-4)/(-6) + 1/i. Factor 0*k - u*k**2 + 0.
-k**2/3
Let p(h) be the first derivative of -1/5*h**3 - 2*h - 1/5*h**2 - 1/15*h**4 - 1. Let c(g) be the first derivative of p(g). Factor c(y).
-2*(y + 1)*(2*y + 1)/5
Let c = -4700/39 + 362/3. Solve c + 0*u - 2/13*u**2 = 0.
-1, 1
Factor -9 - 12 - 15 - 4*z**3 - 12*z + 12*z**2 + 8*z**2.
-4*(z - 3)**2*(z + 1)
Suppose 0*t - 3 = -t, 4*t = 3*u. Determine d so that -5*d**2 + 0*d**u + 3*d**2 + 2*d**4 + 0*d**2 = 0.
-1, 0, 1
Let z = 115 - 71. Let t = z + -130/3. Find d such that -2/3*d**2 + 0 + t*d = 0.
0, 1
Let -16*u**4 + 8/7*u**2 + 22/7*u - 32/7*u**5 - 4/7 - 14*u**3 = 0. Calculate u.
-2, -1, 1/4
Suppose -h = -0*h. Let r(a) be the third derivative of h*a - 1/30*a**5 + 0*a**3 + 1/12*a**4 - a**2 + 0. Solve r(x) = 0 for x.
0, 1
Let g be -6*(-9)/9 - 3. Solve 2/5*x**2 - 2/5*x**4 + 0*x + 2/5*x**g - 2/5*x**5 + 0 = 0 for x.
-1, 0, 1
Let d(v) = -3*v - 4. Let f = 26 - 28. Let u be d(f). Factor -1/2 - 5/2*q - u*q**2.
-(q + 1)*(4*q + 1)/2
Let u(b) = 7*b**4 - 4*b**3 - 11*b**2 + 16*b - 8. Let p(l) = 3*l**4 - 2*l**3 - 5*l**2 + 8*l - 4. Let v(z) = -5*p(z) + 2*u(z). Factor v(q).
-(q - 2)*(q - 1)**2*(q + 2)
Suppose 0 = -0*j + 2*j. Suppose j*p = -5*p. What is i in 1/2*i + 0*i**3 + i**2 - i**4 + p - 1/2*i**5 = 0?
-1, 0, 1
Suppose 2*x - 10 - 10 = 0. Factor 8 + 14*d**4 + 2*d**5 + 28*d**3 + 0 + 50*d**2 + 0*d**5 + 32*d + x*d**3.
2*(d + 1)**3*(d + 2)**2
Let x(q) = -q**3 + 3*q**2 + 2. Let g be x(3). Suppose 0 = -2*p - n + 5, -2*n = g - 0. Let 6*c**2 - 6 + c**3 + 0*c**p - 3*c + 2*c**3 = 0. What is c?
-2, -1, 1
Let b be (2/(-5))/((-1)/15). Suppose -b*l + 2*l + 4 = 3*h, 5*h - l = 22. Factor 4*t - 15*t**4 - 15*t**h + 27*t**3 + 16*t**3 - 24*t**2 + 7*t**5.
t*(t - 2)*(t - 1)**2*(7*t - 2)
Let o(w) be the third derivative of -w**11/831600 + w**9/75600 - w**7/12600 - 2*w**5/15 + 6*w**2. Let n(t) be the third derivative of o(t). Factor n(g).
-2*g*(g - 1)**2*(g + 1)**2/5
Let c(i) = 0*i - 4*i - 2*i**2 + 0*i**2 + 2. Let w(o) = o - 1. Suppose -7*v = -2*v + 2*t + 1, -10 = 2*v - 4*t. Let l(z) = v*c(z) - 2*w(z). Factor l(a).
2*a*(a + 1)
Let g(x) = 2*x**3 + x**2. Let d(c) = -11*c**3 - 4*c**2 - 7*c + 4. Let o(v) = -5*d(v) - 30*g(v). Factor o(b).
-5*(b - 1)**2*(b + 4)
Let c(a) = a**2 - a - 1. Let s(p) = -4*p**2 + p + 9. Let n(k) = -5*c(k) - s(k). Solve n(g) = 0.
2
Let w(p) be the second derivative of 0*p**2 - 1/120*p**6 + 0 - 3/80*p**5 - 1/16*p**4 - 1/24*p**3 - 4*p. Determine k, given that w(k) = 0.
-1, 0
Let m(h) = -3*h**3 - 12*h**2 - 5*h. Let z(c) = -65*c**3 - 265*c**2 - 110*c. Let v(b) = -45*m(b) + 2*z(b). Factor v(g).
5*g*(g + 1)**2
Let x = -59 - -62. Let q(m) be the second derivative of 13/6*m**x - 9/2*m**6 + m**2 + 0 - 81/20*m**5 + m + 3/4*m**4. Factor q(z).
-(3*z + 1)**3*(5*z - 2)
Suppose -2*h + 4 = 5*q, -3*q - 3*h - 1 = q. Factor 0*i**q + 2*i**2 - 8*i + 2*i**2.
4*i*(i - 2)
Let h(c) be the first derivative of 1/12*c**4 + 0*c**3 + 2 + 1/20*c**5 + 0*c**2 + 2*c. Let b(o) be the first derivative of h(o). Solve b(d) = 0 for d.
-1, 0
Let g = -3 - -7. Let l(z) = -z**3 + 4*z**2 + z - 4. Let r be l(g). Factor 1/2*p**3 + 1/2*p**2 + r + 0*p.
p**2*(p + 1)/2
Let h = 129/3380 + 2/169. Let n(k) be the third derivative of -h*k**6 + 0*k**3 + 1/70*k**7 + 0 - 1/20*k**5 - 3*k**2 + 1/4*k**4 + 0*k. Let n(s) = 0. What is s?
-1, 0, 1, 2
Let w be (-8)/20*(-2 + (-12)/9). Let a(q) be the first derivative of -q**2 + 2 - 1/2*q**4 + 0*q - w*q**3. Let a(k) = 0. What is k?
-1, 0
Let d = 163 + -487/3. Let o(l) be the first derivative of 4 - d*l**2 + 0*l + 2/9*l**3. Determine h so that o(h) = 0.
0, 2
Let n(r) = 4*r**2 + 6*r + 2. Let o be n(-2). Factor 2*u**2 - u + u**2 - 3 - o*u**2 + 7*u.
-3*(u - 1)**2
Suppose -6*v = -3*v - 6. Factor 0*j**v - 3/4*j + 1/2 + 1/4*j**3.
(j - 1)**2*(j + 2)/4
Let p = 5 + -1. Factor 6 - 2*a + p*a + 4*a - 3*a - 3*a**3 - 6*a**2.
-3*(a - 1)*(a + 1)*(a + 2)
Suppose -4*q - q = -300. Let w be ((-1)/5)/((-8)/q). Factor 0 + 1/2*g**3 + w*g**2 + g.
g*(g + 1)*(g + 2)/2
Let j(s) = -s**3 - 18*s**2 - 17*s + 3. Let y be j(-17). Let h(q) be the first derivative of 2/3*q**y + 1/2*q**2 - 2 + 0*q. Factor h(m).
m*(2*m + 1)
Suppose 0 = 3*j - j - 4. Find g, given that -g**4 - g**j + 3*g**4 - g**2 = 0.
-1, 0, 1
Find r such that 2 - 1/2*r**2 + 0*r = 0.
-2, 2
Suppose r + t = 0, -2*r + 7 = -4*t - 5. Let f(v) = 4 - 3 - 2*v - 2 + 3*v**2. Let j(d) = -d**2 + d. Let a(c) = r*j(c) + f(c). Factor a(z).
(z - 1)*(z + 1)
Determine s, given that 3/2*s - 3/2 + 3/2*s**2 - 3/2*s**3 = 0.
-1, 1
Let o(c) = -c**3 + 2*c**2 + 9*c - 6. Let f(j) = 2*j**3 - 4*j**2 - 17*j + 11. Let n(u) = 6*f(u) + 11*o(u). Let n(z) = 0. What is z?
-1, 0, 3
Let x(f) = -29*f**5 - 40*f**4 + 31*f**3 + 44*f**2 + f - 1. Let m(v) = 28*v**5 + 40*v**4 - 32*v**3 - 44*v**2. Let s(y) = -3*m(y) - 4*x(y). Solve s(a) = 0.
-1, -1/2, 1/4, 1
Let a(v) be the third derivative of 0*v + 1/15*v**5 + 1/60*v**6 + 0*v**3 + 0 - v**2 + 0*v**4. Factor a(p).
2*p**2*(p + 2)
Determine w, given that 0 + 2/7*w + 8/7*w**2 = 0.
-1/4, 0
Let j(d) be the second derivative of -d**6/70 + 3*d**5/70 - d**3/7 + 3*d**2/14 + d. Factor j(r).
-3*(r - 1)**3*(r + 1)/7
Let q(d) be the first derivative of d**9/9072 + d**8/5040 - d**7/2520 - d**6/1080 - 2*d**3/3 - 1. Let n(h) be the third derivative of q(h). Factor n(t).
t**2*(t - 1)*(t + 1)**2/3
Let y(m) = 3*m - 2. Let b be y(2). Suppose 7*c**3 - c**b - 4*c**3 - 2*c**3 = 0. What is c?
0, 1
Let q be (-1)/15*(-195)/(-12). Let r = q + 7/4. Solve r*v**2 + 8/3 + 8/3*v = 0.
-2
Let o be -1686*(-6)/(-28) + -1. Let z = -360 - o. Let 90/7*h**2 + z*h - 8/7 - 28*h**3 + 14*h**4 = 0. What is h?
-2/7, 2/7, 1
Suppose 0 = -l + 3 - 1. Determine j, given that -l - 2*j**2 - 2*j - 3*j + j = 0.
-1
Let n = -269 - -1619/6. Factor -1/3*o**2 + 5/6*o**3 + 1/3 - n*o.
(o - 1)*(o + 1)*(5*o - 2)/6
Let j = 10 - 7. Let f = 2 - -3. Factor j*k**f - k**3 - k**5 - 2*k**4 - k**3 + 2*k**2.
2*k**2*(k - 1)**2*(k + 1)
Let r(m) be the second derivative of m**5/25 + 2*m**4/15 + 2*m**3/15 - 16*m. Factor r(a).
4*a*(a + 1)**2/5
Let c = -5 - -9. Factor -1 + c*h + h - 5*h + h**2.
(h - 1)*(h + 1)
Let y(v) = v + 10. Let j be y(-6). Let g(o) be the third derivative of -1/90*o**6 + 0*o + 2*o**2 + 0 + 0*o**3 + 0*o**5 + 0*o**j + 1/105*o**7. Factor g(w).
2*w**3*(3*w - 2)/3
Suppose 3*h = -5*z + 34, 3*z = -4*h + 29 - 2. Determine n, given that -21*n**h + n**5 + 2*n**2 + 6*n**4 + 15*n**3 - 3*n**5 = 0.
0, 1
Let b = -14 + 12. Let i be b/(-1) + (-16)/10. Let i*z**2 + 2/5*z - 4/5 = 0. What is z?
-2, 1
Find r such that 2/3*r + 0 + 2/3*r**3 + 4/3*r**2 = 0.
-1, 0
Let s(z) = 3*z**2 + 5*z + 2. Let v(r) = -8*r**2 - 14*r - 6. Let i(n) = -7*s(n) - 2*v(n). Solve i(x) = 0 for x.
-1, -2/5
Factor 0 + 4/9*j**2 + 0*j - 2/9*j**3.
-2*j**2*(j - 2)/9
Let u(q) be the first derivative of 0*q**3 + 0*q - 1/18*q**4 + 0*q**2 - 3. Solve u(r) = 0 for r.
0
Let n be 3/1 - (1 - 0). Let b(v) = -v**3 + 17*v**2 + 19*v - 13. Let o be b(18). Factor r**4 - r**3 - o*r**2 + 14*r**n + 2 - 4*r**3 - 7*r + 0*r**3.
(r - 2)*(r - 1)**3
Let x(i) = -7*i**5 - i**4 + 7*i**3 + i**2 - 6. Let s(l) = -15*l**5 - 2*l**4 + 15*l**3 + 2*l**2 - 13. Let v(m) = 6*s(m) - 13*x(m). Solve v(g) = 0.
-1, 0, 1
Determine q so that -7*q + 23*q - 10*q - 3*q**2 = 0.
0, 2
Let l(g) be the second derivative of 3/40*g**5 + 1/60*g**6 + 0*g**2 + 1/8*g**4 + 0 - g + 1/12*g**3. Find m, given that l(m) = 0.
-1, 0
Let n(p) be the third derivative of -p**8/168 + 4*p**7/105 + p**6/30 - 2*p**5/5 - 3*p**4/4 - 2*p**2. Factor n(l).
-2*l*(l - 3)**2*(l + 1)**2
Let z(i) be the first derivative of -i**5/80 - i**4/12 - 5*i**3/24 - i**2/4 - 4*i - 3. Let p(c) be the first derivative of z(c). Factor p(l).
-(l + 1)**2*(l 