**4 + j - 1 = 0 for j.
-1, 1
Suppose -28*u + u**2 - 16*u**2 + 5*u**2 + 8*u**2 - 98 = 0. Calculate u.
-7
Let l(f) be the first derivative of f**5/5 + 93*f**4/4 + 705*f**3 - 2209*f**2/2 - 232. Factor l(v).
v*(v - 1)*(v + 47)**2
Let j(o) be the first derivative of -o**5/90 - o**4/18 - o**3/9 + 4*o**2 + 3. Let s(z) be the second derivative of j(z). Solve s(i) = 0.
-1
Suppose 4/7*j**4 - 10/7*j + 10/7*j**3 - 10/7*j**2 + 6/7 = 0. What is j?
-3, -1, 1/2, 1
Let y be 28/6 - (-4)/12. Let g be ((-304)/10)/(90/(-75)). Suppose -28/3*f + g*f**3 + 28/3*f**4 + 8/3 - 12*f**2 - 16*f**y = 0. Calculate f.
-1, -2/3, 1/4, 1
Let r(a) be the third derivative of 17*a**6/420 - 10*a**5/21 + 73*a**4/84 + 10*a**3/21 + 3*a**2 - 23. Factor r(o).
2*(o - 5)*(o - 1)*(17*o + 2)/7
Determine k so that 384 - 576*k + 12*k**3 + 3/2*k**5 + 192*k**2 - 27/2*k**4 = 0.
-4, 1, 4
Let h(s) be the third derivative of 1/1176*s**8 + 0*s - 1/105*s**5 + 0 + 1/21*s**3 + 1/84*s**4 - 17*s**2 + 1/735*s**7 - 1/210*s**6. Factor h(m).
2*(m - 1)**2*(m + 1)**3/7
Find f such that -21*f**2 - 10*f + 21*f**3 + 36*f**2 + 24*f**2 - 59*f**3 = 0.
0, 1/2, 10/19
Let s be 144/(3/(4 + -1)). Factor -48*o + o**2 - 3*o**2 - o**2 - o**2 - s.
-4*(o + 6)**2
Suppose 4*x = -5*k - 22126, -3*x + 3*k - 18433 + 1825 = 0. Let o = -49756/9 - x. Determine m, given that 20/9*m + o + 2/9*m**2 = 0.
-5
Let b(g) be the third derivative of g**6/160 - 7*g**5/20 + 49*g**4/8 - 30*g**2 - 1. Factor b(z).
3*z*(z - 14)**2/4
Find w such that -225/4 - 1/4*w**2 - 15/2*w = 0.
-15
Let m(f) be the third derivative of f**5/15 - 2*f**3/3 + 198*f**2. Factor m(k).
4*(k - 1)*(k + 1)
Let q = -62627/6 + 10438. Factor 0 - q*z - 2/3*z**2.
-z*(4*z + 1)/6
Suppose 2/11*d - 26/11 - 2/11*d**3 + 26/11*d**2 = 0. What is d?
-1, 1, 13
Let y(x) = x**3 + 10*x**2 + 11*x + 2. Let h be y(-9). Let b be 33/9 - h/(-24). Factor -2*z**2 - b*z + 0 - z + 6.
-2*(z - 1)*(z + 3)
Suppose 15 = s - 12. Let l = s + -12. Factor 3*a**5 + l*a + 8*a**4 + 8*a**3 + 13*a - 32*a**2 - 8 - 7*a**5.
-4*(a - 1)**4*(a + 2)
Let b(w) be the first derivative of -5*w**4/4 + 5*w**3 - 5*w**2 - 21. Find x, given that b(x) = 0.
0, 1, 2
Suppose 56*u - 55*u - 5 = 0. Let d(o) be the second derivative of 1/24*o**4 + 1/20*o**u + 0 + 1/60*o**6 + 0*o**2 + 0*o**3 + o. What is y in d(y) = 0?
-1, 0
Let z = 4/161 - -310/483. Suppose 11/3*l**2 + 7*l**3 + z*l + 5/3*l**5 + 17/3*l**4 + 0 = 0. What is l?
-1, -2/5, 0
Suppose -i = -4*d + 44, -72 = 3*i - 0*d + 3*d. Let q = i - -28. Factor -6/7*h - 2/7*h**2 + q.
-2*h*(h + 3)/7
Determine t, given that 6*t**2 + 0*t**2 - 18*t - t**3 + 10*t**2 - 4*t**2 - t**3 = 0.
0, 3
Let k(a) be the second derivative of 2*a**6/15 + 14*a**5/5 + 20*a**4 + 208*a**3/3 + 128*a**2 + 3*a - 51. Factor k(z).
4*(z + 2)**3*(z + 8)
Let h(b) be the third derivative of 1/100*b**5 + 3/350*b**7 + 1/560*b**8 + 6*b**2 + 0*b + 0 + 0*b**3 + 3/200*b**6 + 0*b**4. Factor h(p).
3*p**2*(p + 1)**3/5
Suppose 8 = a - 3*a, 0 = 3*u - 3*a - 12. Suppose u = 19*x - 13*x - 30. Factor 0 - 1/4*k**4 + 0*k + 1/4*k**3 - 1/4*k**x + 1/4*k**2.
-k**2*(k - 1)*(k + 1)**2/4
Determine c so that 121/3*c + 1331/9 + 1/9*c**3 + 11/3*c**2 = 0.
-11
Find g, given that -60/11*g + 6/11*g**2 - 6 = 0.
-1, 11
Let g = 14 + -10. Suppose 16*i**5 - 21*i**2 - 4 - 24*i + 45*i**g - i**3 - 20*i**2 + 9*i**5 = 0. Calculate i.
-1, -2/5, 1
Let n(b) be the first derivative of 7*b**6/15 + 4*b**5/25 - 253. Factor n(l).
2*l**4*(7*l + 2)/5
Let p be 33/6 - 210/40. Factor 3/2 + p*k + 18*k**3 + 7/4*k**5 - 10*k**4 - 23/2*k**2.
(k - 3)*(k - 1)**3*(7*k + 2)/4
Let c = -2/1087 + 6536/7609. Find u such that -4/7*u + 0 + 0*u**3 + 2/7*u**4 - c*u**2 = 0.
-1, 0, 2
Let v = 1541/33 + -257/11. Let d = -23 + v. Solve -h + d*h**2 + 2/3 = 0.
1, 2
Let o(y) be the third derivative of -y**5/210 - y**4/42 - 60*y**2 + 2*y. Let o(k) = 0. Calculate k.
-2, 0
Let m(s) be the first derivative of 1/2*s**2 + 1/4*s**4 + 7 + 2/3*s**3 + 0*s. Factor m(n).
n*(n + 1)**2
Let u(y) be the first derivative of 4 + 0*y**2 + 0*y - 1/9*y**3. Factor u(s).
-s**2/3
Let w(p) be the first derivative of -8/5*p**5 + 0*p + 0*p**4 - 2/3*p**6 + 0*p**3 - 8 + 0*p**2. Factor w(m).
-4*m**4*(m + 2)
Suppose 6*n + 6 = 8*n. Let v be 2/28*-4*n/(-2). Suppose 0 + v*d - 1/7*d**2 = 0. Calculate d.
0, 3
Let f(p) = 8*p**5 + 49*p**4 + 89*p**3 + 21*p**2. Let o(x) = 4*x**5 + 25*x**4 + 45*x**3 + 9*x**2. Let r(u) = 3*f(u) - 7*o(u). What is q in r(q) = 0?
-4, -3, 0
Let w be 8 - 8 - (-25)/(2/(-2)). Let i be 4*(2/50)/((-20)/w). Factor i*g**2 + 2/5*g**3 + 0 + 0*g + 1/5*g**4.
g**2*(g + 1)**2/5
Suppose 0 = 5*i + 7*i - 60. Factor -i - 6 + 0 - 21*x**2 - 33*x - 4 - 3*x**3.
-3*(x + 1)**2*(x + 5)
Let w(y) be the second derivative of 4/9*y**2 + 8/27*y**3 + 3*y - 19/54*y**4 + 7/90*y**5 + 0. Factor w(s).
2*(s - 2)*(s - 1)*(7*s + 2)/9
Let j(m) be the first derivative of -m**6/8 - 3*m**5/5 - 15*m**4/16 - m**3/2 + 45. Factor j(o).
-3*o**2*(o + 1)**2*(o + 2)/4
Let v(n) be the third derivative of -1/120*n**4 + 0 + 0*n + 1/600*n**6 + 1/150*n**5 - 1/15*n**3 - n**2. Let v(q) = 0. What is q?
-2, -1, 1
Let a = -217 + 633. Factor -a*z**4 - 4*z**2 + 428*z**4 + 5*z**5 + 3*z**5.
4*z**2*(z + 1)**2*(2*z - 1)
Let u(w) = -2*w**2 + 3*w - 21. Let x be u(-9). Let b be (-2)/5 + x/(-275). Suppose -48/11*s**2 + 30/11*s - b - 32/11*s**3 = 0. Calculate s.
-2, 1/4
Suppose -395*b = -411*b. Factor 0 - 3/2*z**3 - 3*z**2 + b*z.
-3*z**2*(z + 2)/2
Let g(b) = 31*b**2 - 100*b + 11. Let i = -72 - -74. Let j(p) = -6*p**2 + 20*p - 2. Let o(r) = i*g(r) + 11*j(r). Find f such that o(f) = 0.
0, 5
Let s(m) be the second derivative of -5/6*m**3 - 5/12*m**4 + 0 + 0*m**2 - 15*m. Let s(o) = 0. Calculate o.
-1, 0
Let o(i) be the third derivative of i**7/350 + 13*i**6/100 + 213*i**5/100 + 143*i**4/10 + 242*i**3/5 - 9*i**2 + 11. Factor o(k).
3*(k + 2)**2*(k + 11)**2/5
Suppose -5*c + 170 = 10. Let t = c + -29. Determine i, given that i**3 - 5*i**3 + 3*i**4 - 4*i**2 - 2*i**t + i**4 = 0.
-1/2, 0, 2
Suppose -4*q + 22 = 5*k, -20 = -5*k - 8*q + 3*q. Let x(j) be the first derivative of 2*j**2 - 1/2*j**4 + k - 2/3*j**3 + 0*j. Factor x(d).
-2*d*(d - 1)*(d + 2)
Let l(s) be the first derivative of s**6/1440 + 11*s**5/480 + 5*s**4/48 + 28*s**3/3 + 9. Let q(r) be the third derivative of l(r). Suppose q(v) = 0. What is v?
-10, -1
Let r(y) = y**3 - y**2 + y. Let v(x) = 8*x**3 - 113*x**2 + 5*x. Let k(p) = -5*r(p) + v(p). Factor k(z).
3*z**2*(z - 36)
Factor 10/7*z**2 + 18/7*z - 4/7.
2*(z + 2)*(5*z - 1)/7
Let l be (1 + ((77/(-14))/11)/1)*0. What is x in -4/5*x + l - 22/5*x**3 + 26/5*x**2 = 0?
0, 2/11, 1
Let g = -20 + 23. Suppose j = -2, -4*j - 11 = -g*k + 2*k. Factor 0*l**k + 4 + 10*l + l**2 + 7*l**2 - 2*l**2 - 2*l**4 - 2*l**3.
-2*(l - 2)*(l + 1)**3
Let d = -8 - -10. Let f = -10 + 12. Factor 7*x**3 - 4*x**3 - 4*x**f - 2*x**d.
3*x**2*(x - 2)
Suppose 5/3*k**5 + 0*k**4 + 140/3*k - 55/3*k**3 - 40 + 10*k**2 = 0. What is k?
-3, -2, 1, 2
Let c(w) be the third derivative of w**8/1344 + w**7/504 - w**6/144 - w**5/24 - 7*w**4/24 + 9*w**2. Let l(t) be the second derivative of c(t). Factor l(g).
5*(g - 1)*(g + 1)**2
Let p(a) = 4*a**2 + 18*a + 30. Let k = -9 - -4. Let l(b) = -4*b**2 - 19*b - 31. Let s(y) = k*p(y) - 6*l(y). Factor s(m).
4*(m + 3)**2
Let a(v) be the second derivative of v**5/170 + v**4/51 - v**3/17 + 206*v. Factor a(m).
2*m*(m - 1)*(m + 3)/17
Let a(i) be the first derivative of 0*i**2 + 0*i**3 + 3*i - 1/30*i**5 - 1/18*i**4 - 9. Let z(n) be the first derivative of a(n). Let z(r) = 0. What is r?
-1, 0
Let n = 69 - 66. Factor 3*y**4 + 2*y**n - 5*y**3 + y**2 + 2*y - y**5 - 4*y**2 + 2*y**3.
-y*(y - 2)*(y - 1)**2*(y + 1)
Let k(m) be the first derivative of 3*m**4/4 + 2*m**3 - 30*m**2 + 72*m + 99. Factor k(d).
3*(d - 2)**2*(d + 6)
Let l be (3/3)/(1/7). Suppose -12*x + l*x = 0. Suppose -26*v - 6 - 40*v**2 + 3 - 1 + x = 0. What is v?
-2/5, -1/4
Suppose 0 = 2*b - b - 18. Factor 20*g**3 - b*g**4 - 24*g**2 + 32 + 14*g**4 - 7*g - 9*g.
-4*(g - 2)**3*(g + 1)
Let r(j) = -26*j**2 - 50*j - 10. Let w(g) = -9*g**2 - 17*g - 3. Let l(h) = -5*r(h) + 14*w(h). Factor l(q).
4*(q + 1)*(q + 2)
Determine d so that -d + 3*d**3 + 49662 - 49662 - 2*d**2 = 0.
-1/3, 0, 1
Let v = 48 + -49. Let m(x) = -4*x**3 - 16*x**2 + 20*x. Let j(u) = -u**2 + u. Let l(f) = v*m(f) + 8*j(f). Solve l(o) = 0 for o.
-3, 0, 1
Let q(b) be the third derivative of 5*b**9/302