3)/(-1) - (-87)/(-29). Determine z, given that 0*z + 1/6*z**2 + 0*z**3 - 1/6*z**4 + g = 0.
-1, 0, 1
Let w(l) be the first derivative of l**4/12 + l**3/9 - 4*l**2/3 - 4*l - 28. Let w(b) = 0. What is b?
-2, 3
Let k(a) be the first derivative of -5*a**4/4 - 5*a**3/3 + 5*a**2/2 + 5*a + 5. Factor k(c).
-5*(c - 1)*(c + 1)**2
Let r(j) = j**5 - j**3 - 3*j - 3. Let w(y) = 0*y + y - 3*y - 2. Let g(o) = o**2 + 12*o + 3. Let l be g(-12). Let n(s) = l*w(s) - 2*r(s). Factor n(m).
-2*m**3*(m - 1)*(m + 1)
Let r(x) be the second derivative of -3*x**4/4 + 2*x**3 - 3*x**2/2 + x. Factor r(c).
-3*(c - 1)*(3*c - 1)
Solve 6/7*k**3 - 6/7*k - 3/7*k**2 + 0 + 3/7*k**4 = 0.
-2, -1, 0, 1
Let y be 0 - (-1)/1*-7. Let f(b) = b**2 + 8*b + 8. Let j be f(y). Find l, given that -1 + 0*l + j + 2*l**2 - 6*l + 4 = 0.
1, 2
Let w(u) be the third derivative of -u**8/84 + u**7/21 - 5*u**6/96 - u**5/48 + 5*u**4/96 + u**3/24 + 4*u**2. Suppose w(j) = 0. Calculate j.
-1/4, 1
Let l(a) be the third derivative of a**8/1344 + a**7/420 + a**6/480 - a**2. Factor l(d).
d**3*(d + 1)**2/4
Let l = 111 - 106. Let h(q) be the second derivative of 0 + 0*q**2 - 1/4*q**4 - 1/3*q**3 - q + 1/14*q**7 + 3/20*q**l + 7/30*q**6. Factor h(a).
a*(a + 1)**3*(3*a - 2)
Let h(s) be the second derivative of -3*s**4/22 - 2*s**3/33 - 2*s. Factor h(i).
-2*i*(9*i + 2)/11
Factor -4/5*z**3 + 0 + 2/5*z**2 - 2/5*z**4 + 4/5*z.
-2*z*(z - 1)*(z + 1)*(z + 2)/5
Let y = 11/25 - 6/25. Suppose 0*f + y*f**3 + 0 + 0*f**2 = 0. Calculate f.
0
Let j be (2/(-4))/((-1)/8). Let m = 0 + j. Factor 2*i - 2*i**3 + 0*i**2 + 2*i**2 + 0*i**2 - 2*i**m.
-2*i*(i - 1)*(i + 1)**2
Let o be (-13)/(-26)*4*1. Let h(g) be the second derivative of 0*g**5 + 1/6*g**4 - 1/42*g**7 + 1/6*g**3 + 0*g**o - 1/15*g**6 - 2*g + 0. Factor h(u).
-u*(u - 1)*(u + 1)**3
Let h(n) = n**3 + 4*n**2. Let s be h(-4). Factor 2/3*i - 2/3*i**3 + s + 2/3*i**2 - 2/3*i**4.
-2*i*(i - 1)*(i + 1)**2/3
Let m(c) be the second derivative of c**6/10 - c**4/2 + 3*c**2/2 - 3*c - 1. Let m(k) = 0. Calculate k.
-1, 1
Suppose -o - 5*n - 4 = -3*o, 3*o + n = 6. Let a be o - (-1 - (-1 - 2)). What is y in 3*y**3 + a*y**2 + y - y**2 + 4*y**2 + y**4 = 0?
-1, 0
Let l = -9/23 + 142/69. Find y, given that l*y - 4/3*y**2 + 1/3*y**3 - 2/3 = 0.
1, 2
Let a(n) = n**2 + 2*n. Let g be a(-2). Let u(p) = p**3 - p + 2. Let d be u(g). Factor 2*f**3 - d*f**4 - f**5 - 3*f**3 + 3*f**2 - 3*f**2.
-f**3*(f + 1)**2
Let p be (-2)/(-4)*(5 + -1). Suppose -p*s = 3*s - 10. Factor 0*r**3 + r**5 + s*r**3 + 4*r**4 + r**5.
2*r**3*(r + 1)**2
Let w = -10 + 12. Let u be 14 + w/1 - 2. What is g in 6*g**2 - 48/7*g + 8/7 + u*g**3 = 0?
-1, 2/7
Let p = 13 + -10. Factor 2*m - 4*m**2 - 3*m**3 - 4*m + m**p + 0*m.
-2*m*(m + 1)**2
Let h = 15130/9 + -1676. Solve 4/3*g**2 + 56/9*g - 16/9 - h*g**3 + 14/9*g**4 = 0.
-1, 2/7, 2
Let n(t) be the first derivative of 1/24*t**6 + 1/20*t**5 + 0*t**2 - 1/12*t**3 + 0*t - 1/16*t**4 - 1. Factor n(p).
p**2*(p - 1)*(p + 1)**2/4
Let z = -497 - -37276/75. Let h(y) be the second derivative of 0*y**2 + z*y**6 + 2/5*y**4 - 8/15*y**3 + 0 - 3/25*y**5 + 2*y. Determine v so that h(v) = 0.
0, 2
Let g(a) be the first derivative of -a**5/30 - a**4/12 - a**3/18 - 49. Suppose g(z) = 0. Calculate z.
-1, 0
Let c(h) = -h**3 - 2*h**2 + 2*h + 7. Let t be c(-3). Let i = 21/2 - t. Solve -3/2*z**3 + 3/2*z**4 + 0 - i*z**5 + 0*z + 1/2*z**2 = 0.
0, 1
Let r be (-2)/8 - (-38)/120. Let g(j) be the second derivative of -r*j**6 + 1/3*j**4 + 1/5*j**5 - 1/3*j**3 - 1/21*j**7 - j**2 + 0 - 2*j. Solve g(c) = 0.
-1, 1
Let g be (-69)/9*87/4. Let v = g + 169. Factor -d**2 - 1/2 - v*d.
-(d + 2)*(4*d + 1)/4
Let z(q) = q**3 + 5*q**2 - 8*q - 9. Let y be z(-6). Factor -7*v**2 - 8*v**2 - 3 + 7*v + 9*v**y + 2.
(v - 1)*(3*v - 1)**2
Let q(d) be the second derivative of d**7/840 - d**5/120 + 5*d**3/6 - 2*d. Let u(x) be the second derivative of q(x). Factor u(o).
o*(o - 1)*(o + 1)
Let w(h) be the third derivative of 0 + 0*h - 1/180*h**6 + 0*h**3 - 1/72*h**5 + 3*h**2 - 1/144*h**4. Factor w(g).
-g*(g + 1)*(4*g + 1)/6
Let z = 10 + -8. Determine y, given that -3*y + 69*y**3 - 3*y**2 - 54*y**4 - 3*y - 4*y**z - 2*y**2 = 0.
-2/9, 0, 1/2, 1
Let o(k) = -5*k**4 + 22*k**3 - 37*k**2 + 20*k + 3. Let n(p) = 60*p**4 - 265*p**3 + 445*p**2 - 240*p - 35. Let d(t) = -3*n(t) - 35*o(t). Factor d(a).
-5*a*(a - 2)**2*(a - 1)
Let t(n) = n**4 + n**3 - n**2 - n. Let q(w) = 5*w**5 + 2*w**4 - 48*w**3 + 98*w**2 - 77*w + 20. Let u(a) = -q(a) + 2*t(a). Let u(p) = 0. Calculate p.
-4, 1
Let u(q) be the second derivative of q**4/6 + q**3/3 + 13*q. Factor u(f).
2*f*(f + 1)
Let p be ((-3)/(-6))/((-24)/(-4208)). Let m = p - 87. Factor 0*i + 7/3*i**4 + 0 + m*i**2 + 3*i**3.
i**2*(i + 1)*(7*i + 2)/3
Suppose 9 = u + 2*u. Let m = -1 + u. Determine j so that j**m - 2*j - 3*j**2 - 4 - 2*j + 2 = 0.
-1
Let j = 0 - -16. Suppose -3*d - 4*q + 13 = 0, 3*d - j + 2 = -5*q. Suppose 0*k - k**2 - 1 + k - k**d + 2 = 0. What is k?
-1, 1
Suppose -46 = -4*u + 5*w, 0*u + 3*w - 3 = -u. Suppose 5*c - 2*c - u = 0. Determine s so that 2*s**2 - s**3 - 2 + 2 - s + 0*s**c = 0.
0, 1
Let w(n) be the first derivative of n**7/336 - 7*n**6/720 + n**5/120 + 4*n**3/3 + 3. Let t(x) be the third derivative of w(x). Solve t(m) = 0.
0, 2/5, 1
Suppose 4 + 6 = 2*v. Factor -8*w**4 - 2*w + 10*w**3 - 15*w**2 - 2*w**v + 7*w**2 - 22*w**3.
-2*w*(w + 1)**4
Let v = -6 - -6. Let y(s) be the second derivative of 0*s**5 + 1/12*s**4 + v*s**2 - 1/30*s**6 - s + 0*s**3 + 0. Solve y(f) = 0.
-1, 0, 1
Let l(a) be the second derivative of -a**5/4 + 5*a**3/2 + 5*a**2 + 24*a. Suppose l(t) = 0. Calculate t.
-1, 2
Let f = 310 + -926/3. Factor -8/3*c + 4/3*c**4 + 8/3*c**3 - f + 0*c**2.
4*(c - 1)*(c + 1)**3/3
Let m be 2/(3/9*-1). Let i be m/4*(-2)/1. Factor -2 - 6*u**2 - 5*u + u**3 - 2*u - 3*u**i + u.
-2*(u + 1)**3
Let c(m) be the first derivative of -1/12*m**4 + 0*m**2 + 1/18*m**3 + 0*m + 1/30*m**5 + 3. Factor c(n).
n**2*(n - 1)**2/6
Let i be 6/(-21) + 111/21. Let x be 0 + i - (0 - -1). Factor 6*p**x + 4*p**3 + 6 - 6.
2*p**3*(3*p + 2)
Let k(i) be the first derivative of -1/21*i**6 + 0*i + 0*i**2 + 2/35*i**5 - 6 + 0*i**3 + 0*i**4. Factor k(u).
-2*u**4*(u - 1)/7
Let z(v) be the first derivative of 0*v**2 + 1/10*v**4 - 2/15*v**3 + 0*v - 2. Suppose z(f) = 0. Calculate f.
0, 1
Suppose -9*a**3 + 16 - 6*a**2 - 16 = 0. What is a?
-2/3, 0
What is h in 2 + 0 + 2*h**2 - 1 + 1 + 4*h = 0?
-1
Let l(v) be the first derivative of -1/6*v**6 + 2 + 5/6*v**2 + 2/3*v**3 - 1/6*v**4 - 7/15*v**5 + 1/3*v. Determine i, given that l(i) = 0.
-1, -1/3, 1
Factor 9*t**4 + 2*t**2 - 3*t**2 - 9*t**3 + 4*t**2 + 0*t**5 - 3*t**5.
-3*t**2*(t - 1)**3
Let y(p) = p**3 - p**2. Let t(o) = 3*o**4 + 3*o**3 - 9*o**2 + 3*o. Let r(a) = t(a) - 6*y(a). Factor r(c).
3*c*(c - 1)**2*(c + 1)
Suppose 0 = -j - 4*k - 38, -k + 3*k + 154 = -5*j. Let x be (j/25)/(9/(-40)). Factor -4/3 - 7/3*p**2 + x*p.
-(p - 2)*(7*p - 2)/3
Let r(b) = 2*b**2 + 11*b - 76. Let y be r(4). Find g, given that 2/11*g**3 + 2/11*g - 4/11*g**2 + y = 0.
0, 1
Let q = -5 + 10. Let r(d) = 3*d**3 + d**2 + 3*d - 5. Let b(o) = -4*o**3 - 2*o**2 - 4*o + 6. Let v(s) = q*b(s) + 6*r(s). Solve v(t) = 0.
-1, 0
Let v = 185 + -182. Factor 0 - 2/5*q - 1/5*q**2 + 1/5*q**v.
q*(q - 2)*(q + 1)/5
Let d = 1 - -4. Find b such that -8*b**5 + 0*b + 5*b**4 + d*b**4 + 2*b - 10*b**2 + 6*b**3 = 0.
-1, 0, 1/4, 1
Suppose -4*s + 4*o = 316, 252 = -3*s - 4*o + 2*o. Let r = 248/3 + s. Factor -1/3*f**5 + r*f**2 - 2/3*f**4 + 1/3*f + 0*f**3 + 0.
-f*(f - 1)*(f + 1)**3/3
Let d = 2 + 0. Let r = 169/2 - 83. Factor -3/2*y - r*y**d + 0.
-3*y*(y + 1)/2
Let y = -6 + 9. Factor 12*m**y + 114*m**2 - 4*m**4 - 118*m**2 - 4*m**3.
-4*m**2*(m - 1)**2
Let n(i) = -3*i**4 + 3*i**3 - i**2 + 5*i + 4. Let c(v) = 3*v**4 - 2*v**3 - 4*v - 3. Let l(m) = 4*c(m) + 3*n(m). Suppose l(x) = 0. What is x?
-1, -1/3, 0, 1
Let c = -2 - -5. Factor -w**3 - 3*w**c + 2*w**2 + 6*w**3 - 2*w**5 - 2*w**4.
-2*w**2*(w - 1)*(w + 1)**2
Let l(x) = 15*x**2 + 70*x - 10. Let d(u) = u - 1. Let q(b) = -30*d(b) + l(b). Suppose q(y) = 0. What is y?
-2, -2/3
Find k such that 72/5*k - 16/5*k**3 + 12/5*k**2 - 4/5*k**4 + 0 = 0.
-3, 0, 2
Let a(q) be the third derivative of q**6/420 + q**5/105 + q**4/84 - 2*q**2. Factor a(s).
2*s*(s + 1)**2/7
Let t(b) = 6*b**2 + 3*b - 3. Let q be t(-3). Let d = q + -81/2. Determine p so that 9/2*p**2 - 9/2*p**4 +