pose -4*t = t - 3*j + 990, 0 = 5*j. Let o = -592/3 - t. Factor 0*r + 1/6*r**2 - o.
(r - 2)*(r + 2)/6
Let k be (-2 - -2) + (-3 - -9) + -2. Find l, given that 5/4*l**2 + 0*l**3 - 5/4*l**k + 0 + 0*l = 0.
-1, 0, 1
Suppose 35*n = -6*n. Let r(i) be the second derivative of 0*i**2 + 1/30*i**3 + 1/150*i**6 - 11*i + 3/100*i**5 + n + 1/20*i**4. Solve r(p) = 0.
-1, 0
Solve 0*p + 2/5*p**3 + 0 - 108/5*p**2 = 0 for p.
0, 54
Let w(v) be the first derivative of 2*v**5/5 - 14*v**3/3 - 6*v**2 + 109. Find g, given that w(g) = 0.
-2, -1, 0, 3
Let j(q) = 7*q**2 + 77*q - 54. Let s(k) = 20*k**2 + 229*k - 164. Let r(d) = 17*j(d) - 6*s(d). Factor r(y).
-(y - 1)*(y + 66)
Let z = -118815/44 + 29712/11. Factor 3/4*g**2 + 0 + 9/4*g - 9/4*g**3 - z*g**4.
-3*g*(g - 1)*(g + 1)*(g + 3)/4
Let p(q) be the third derivative of -q**7/420 - 47*q**6/240 - 51*q**5/8 - 1575*q**4/16 - 1125*q**3/2 + 9*q**2 - 3. Factor p(y).
-(y + 2)*(y + 15)**3/2
Solve 2/3*u + 0 + 0*u**2 - 2/3*u**3 = 0.
-1, 0, 1
Let c(p) be the third derivative of p**7/1365 + p**6/78 + 17*p**5/390 + 2*p**4/39 + 35*p**2 - 1. Find g, given that c(g) = 0.
-8, -1, 0
Let d(a) be the first derivative of 2*a**5/25 - 3*a**4/5 + 2*a**3/15 + 24*a**2/5 + 32*a/5 - 98. Factor d(o).
2*(o - 4)**2*(o + 1)**2/5
Let v(d) = -38*d + 34. Let a(t) = t**2 + t. Let h(f) = 2*a(f) + v(f). Factor h(o).
2*(o - 17)*(o - 1)
Find y such that 79*y - 167*y - 326*y - 2*y**2 + 3*y**2 + 22828 + 20021 = 0.
207
Let v(p) be the third derivative of -1/8*p**4 - 1/120*p**6 - 18*p**2 + 1/6*p**3 + 0 + 1/20*p**5 + 0*p. Factor v(i).
-(i - 1)**3
Let z(i) be the third derivative of i**5/330 + 7*i**4/132 + 10*i**3/33 + i**2 - 9*i. Factor z(q).
2*(q + 2)*(q + 5)/11
Let n = 18 + -22. Let k be ((-2)/n)/(27/90). Factor 1/3*v**4 + 2/3 + 3*v**2 - 7/3*v - k*v**3.
(v - 2)*(v - 1)**3/3
Let x(h) be the second derivative of 3 + 3*h + 9/2*h**2 + 7/4*h**3 - 1/24*h**4 - 1/8*h**5 - 1/60*h**6. Factor x(k).
-(k - 2)*(k + 1)*(k + 3)**2/2
Let k = -1282/15 + 10144/105. Determine h so that 507/7 + 3/7*h**2 - k*h = 0.
13
Let k(q) be the first derivative of -3 - 2/9*q**3 - 1/3*q**2 - 2*q - 1/18*q**4. Let l(t) be the first derivative of k(t). What is y in l(y) = 0?
-1
Let z = -35 - -50. Let r be 16/z + 1/((-9)/6). Find g, given that 2/5*g**2 + 2/5*g**5 + 0*g - r*g**3 - 2/5*g**4 + 0 = 0.
-1, 0, 1
Suppose 716*f - 12 = 710*f. Factor -1/6*m**f + 0 + 1/6*m.
-m*(m - 1)/6
Let t(z) be the third derivative of -z**6/72 + 17*z**5/36 - 35*z**4/8 - 45*z**3/2 - 98*z**2. Factor t(a).
-5*(a - 9)**2*(a + 1)/3
Suppose 75/2*l**3 - 12 - 9/2*l**5 + 15/2*l**4 + 45/2*l**2 - 15*l = 0. Calculate l.
-1, 2/3, 4
Let s = -213/2 - -119. Factor 15/2*v**2 - 5/2*v**4 + 5/2*v**3 - s*v + 5.
-5*(v - 1)**3*(v + 2)/2
Let -4/11*x**2 + 2/11*x**3 - 10/11*x + 12/11 = 0. What is x?
-2, 1, 3
Suppose p - w = 9, 5*p + 5*w = 7*w + 33. Suppose p = u + 3. Suppose 12/5*z**u + 3/5*z**3 + 3*z + 6/5 = 0. Calculate z.
-2, -1
Suppose 9034/3*j**2 + 120 - 154/3*j**4 - 242/3*j**5 - 1264*j + 5162/3*j**3 = 0. Calculate j.
-3, 2/11, 5
Let m(u) be the first derivative of -1/12*u**4 + 4/27*u**3 + 0*u**2 + 0*u + 19. Solve m(y) = 0 for y.
0, 4/3
Let l(c) = c**2 - 20*c + 36. Let g be l(18). Factor 2/11*h**3 + 0*h**2 + 2/11*h**4 + 0 + g*h.
2*h**3*(h + 1)/11
Factor 9/5*l**2 + 1/5*l**4 + 11/5*l - 11/5*l**3 - 2.
(l - 10)*(l - 1)**2*(l + 1)/5
Let s(c) = -4 - 53*c**2 - 48*c**2 + 11*c + 98*c**2. Let d be s(3). Factor -9/2*q - 3/2*q**d - 3.
-3*(q + 1)*(q + 2)/2
Let q(h) be the first derivative of -2/3*h**3 - h**2 - 2*h + 1. Let p(k) = -k**3 + 4*k**2 + 5*k + 5. Let c(w) = -4*p(w) - 10*q(w). Factor c(b).
4*b**2*(b + 1)
Let b(n) = -n**3 - 10*n**2 + 2*n + 22. Let s be b(-10). Solve -s*d + 14*d**2 - 4*d + 6*d**3 - 11*d**2 - 3*d**4 = 0 for d.
-1, 0, 1, 2
Let b(p) = 32*p + 0 + 2 + 2*p**2 - 38*p. Let x be b(4). Factor -7*k**3 - 15 + x*k**3 - 18*k**2 - 9 + 36*k.
3*(k - 2)**3
Let h(d) be the third derivative of 0*d - 19 - 4/3*d**3 + d**2 + 1/6*d**5 + 2/3*d**4. Suppose h(l) = 0. What is l?
-2, 2/5
Let s(k) = 8*k**4 + 317*k**3 + 2927*k**2 + 13*k - 13. Let l(d) = -2*d**4 - 79*d**3 - 731*d**2 - 3*d + 3. Let h(z) = -26*l(z) - 6*s(z). Factor h(c).
4*c**2*(c + 19)**2
Let a(g) be the third derivative of -9*g**2 + 0*g**4 + 0 + 0*g - 2/3*g**3 + 1/60*g**5. Determine z, given that a(z) = 0.
-2, 2
Let y(g) be the first derivative of -g**4 + 8*g - 4 - 8/3*g**3 + 2*g**2. Let y(w) = 0. What is w?
-2, -1, 1
Let q = -14229/4312 - -251/98. Let m = 15/11 + q. Factor -1/8*k**3 - 7/8*k - m*k**2 - 3/8.
-(k + 1)**2*(k + 3)/8
Let y be ((-47)/(11844/112))/(1/(-24)) - 8. Let 0 - 8*p**2 - y*p**4 + 22/3*p**3 + 3*p + 1/3*p**5 = 0. What is p?
0, 1, 3
Let f(b) be the first derivative of 4*b**3/15 + 8*b**2/5 + 16*b/5 - 4. Suppose f(z) = 0. What is z?
-2
Let o be 2/(-4)*4 + 4. Determine l, given that 13 + 2*l - 13 - l**o - l**3 = 0.
-2, 0, 1
Factor -1/3*x**5 - 1/3*x - 1/3*x**4 - 1/3 + 2/3*x**3 + 2/3*x**2.
-(x - 1)**2*(x + 1)**3/3
Suppose 28*s - 31*s = -231. What is y in -s + 72 + y - y**2 + 5*y = 0?
1, 5
Let s(z) be the third derivative of 0 - 11*z**2 + 1/5*z**5 + 8/3*z**3 - z**4 - 1/60*z**6 + 0*z. Let s(k) = 0. What is k?
2
Factor 3/7*b + 0 + 1/7*b**2.
b*(b + 3)/7
Let v(m) be the third derivative of 1/200*m**6 + 0*m**4 + 0 + 1/100*m**5 + 0*m**3 - 4*m**2 + 0*m. Determine j, given that v(j) = 0.
-1, 0
Let g(r) = 2*r**3 - 6*r**2 - 102*r - 110. Let x(q) = q**3 - 4*q**2 - 52*q - 56. Let v(t) = 4*g(t) - 9*x(t). Solve v(b) = 0 for b.
-2, 16
Let d(y) be the second derivative of -3/50*y**5 - 1/6*y**4 - 2/15*y**3 + 0 + 1/105*y**7 + 1/75*y**6 - 8*y + 0*y**2. Factor d(u).
2*u*(u - 2)*(u + 1)**3/5
Suppose -4*v**2 + 10/7*v**3 + 6/7*v**4 + 16/7 - 40/7*v = 0. What is v?
-2, 1/3, 2
Suppose -21/5*b**2 + 3*b**3 + 0 - 18/5*b + 21/5*b**4 + 3/5*b**5 = 0. What is b?
-6, -1, 0, 1
Let k(z) = -4*z**2 - 4. Suppose -3*n + 5*n - 8 = 0. Let w(p) = p**4 + p**3 - 5*p**2 - 3. Let a(c) = n*w(c) - 3*k(c). Factor a(b).
4*b**2*(b - 1)*(b + 2)
Suppose 5 = b - 3*t - 9, 0 = -4*b - 3*t + 41. Let g be b - 11 - (-4)/6. Factor -g*a**3 + 0 - 2/9*a**2 + 4/9*a.
-2*a*(a + 1)*(3*a - 2)/9
Suppose -5*y = -8*r + 5*r - 8, -y = 2*r - 12. Let c(u) be the second derivative of 0 - 1/36*u**y + 0*u**2 + 5*u + 1/9*u**3. Determine o, given that c(o) = 0.
0, 2
Suppose -138 = -28*l - 18*l. Let p(z) be the first derivative of -5 + 0*z**3 + 4*z + 1/2*z**4 - l*z**2. Find a, given that p(a) = 0.
-2, 1
Suppose -2*x + 10 = -3*z, x - 4*x + 15 = 3*z. Let 5*p**4 - 3*p**5 - p**4 + 7*p**x - 8*p**3 = 0. Calculate p.
-2, 0, 1
Factor 0*t + 6/25*t**2 - 8/25 + 2/25*t**3.
2*(t - 1)*(t + 2)**2/25
Suppose 0 = -8*f + 5*f + 66. Suppose 2 - f = -4*b + 4*x, -9 = -b + 3*x. Factor 0 + 0*t - 3/5*t**2 + 3/5*t**b.
3*t**2*(t - 1)/5
Let i(s) be the third derivative of 5/3*s**4 + 0 + 0*s - 1/4*s**5 - 4*s**2 - 3/8*s**6 + 10/3*s**3. What is c in i(c) = 0?
-2/3, 1
Let m(t) = t**3 + 4*t**2 - 6*t - 20. Let s be m(-4). Let a(b) be the first derivative of 7 - 1/10*b**2 + 1/20*b**s - 2/5*b + 2/15*b**3. Factor a(l).
(l - 1)*(l + 1)*(l + 2)/5
What is p in 0*p + 2401/2*p**2 + 1/2*p**4 + 0 - 49*p**3 = 0?
0, 49
Let u(g) = -4*g + 50. Let l be u(9). Suppose -5 + 47 = l*z. Factor -z - 3/2*m**2 + 9/2*m.
-3*(m - 2)*(m - 1)/2
Let t(j) be the first derivative of 9*j - 1/14*j**4 + 2 + 1/70*j**5 - 1/7*j**2 + 1/7*j**3. Let h(c) be the first derivative of t(c). Solve h(z) = 0.
1
Let t = -7034 + 49241/7. Factor -t*s**3 - 6/7 + 3/7*s + 6/7*s**2.
-3*(s - 2)*(s - 1)*(s + 1)/7
Let v(t) be the second derivative of -t**4/6 - 178*t**3/3 - 7921*t**2 + 4*t + 11. Factor v(i).
-2*(i + 89)**2
What is j in 153*j + 134*j - 64*j**3 - 14*j**2 - 6*j**2 - 4*j**4 - 2420 + 2177*j + 44*j**2 = 0?
-11, 1, 5
Factor 24*v + 4/5*v**2 + 180.
4*(v + 15)**2/5
Find w such that 206/9*w - 10609/9 - 1/9*w**2 = 0.
103
Let l = 1963/2868 - 17/956. Let -4/5*h + 2/3*h**2 + 0 + 2/15*h**5 + l*h**3 - 2/3*h**4 = 0. What is h?
-1, 0, 1, 2, 3
Factor 88*i - 5594/5*i**2 - 8/5 - 2508*i**3 - 6498/5*i**4.
-2*(i + 1)**2*(57*i - 2)**2/5
Let o be ((-165)/(-40) - 9)*-4. What is b in 0 - 9*b + 33/2*b**3 - 39/2*b**4 + o*b**2 - 15/2*b**5 = 0?
-3, -1, 0, 2/5, 1
Let n be (((-27)/5)/1)/((-99)/33). Let y(c) be the first derivative of -1/3*c**6 - n*c**5 + 0*c + 0*c**2 - 3*c**4 - 4/3*c**3 - 6. Find m, given that y(m) = 0.
-2, -1/2, 0
Find t such that -3 + 27 - 44*t - 8601*t**2 + 1