 - 3/4*t**z = 0.
-2, -1, 0, 1
Suppose 2*t + 2*i = 4*i + 12, 0 = 5*t + 3*i - 22. Factor 22*d**4 - d**5 - 6*d**3 - 14*d**4 - d**t.
-2*d**3*(d - 3)*(d - 1)
Let m be -32*(2 + 1164/(-576)). Solve -5/3*v**2 - 2/3*v + m*v**4 + 0 - 1/3*v**3 = 0.
-1, -1/2, 0, 2
Suppose -7/5*u + 0 + 1/5*u**2 = 0. Calculate u.
0, 7
Factor 5*q**2 + 25*q**2 + 46415*q**5 - 67*q**3 + 9*q**3 - 46413*q**5 + 26*q**4.
2*q**2*(q - 1)**2*(q + 15)
Suppose 5*y + 25 = 2*g, -73 = 44*g - 49*g + 2*y. Factor -20*r**3 + 2*r**4 - 18*r + g*r + 34*r**2 - 13*r.
2*r*(r - 8)*(r - 1)**2
Let z = 74 - 78. Let m be 189/84 - (-1)/z. Factor 3/2*r**m - 12*r + 24.
3*(r - 4)**2/2
Let m = 184 - 178. Let k(s) = -s**4 - 9*s**3 + 7*s**2 - 3*s + 6. Let l(w) = -w**3 + w**2 - w + 1. Let a(h) = m*l(h) - k(h). Factor a(b).
b*(b - 1)*(b + 1)*(b + 3)
Let j(v) be the first derivative of 4*v**2 + 11/3*v**3 + 63 - 3*v. Factor j(k).
(k + 1)*(11*k - 3)
Suppose 4*h - 4*f + 8 = 0, 0 = -3*h - 10*f + 9*f + 10. Factor -2*b**4 - 2*b - 14*b**2 + 18*b**2 - 2*b**3 + h*b.
-2*b**2*(b - 1)*(b + 2)
Let i(q) be the third derivative of q**7/70 + 2*q**6/5 + 22*q**5/5 + 24*q**4 + 72*q**3 + 39*q**2 - 32. Factor i(c).
3*(c + 2)**2*(c + 6)**2
Let v(p) be the second derivative of 73*p - 1/20*p**6 + 0*p**2 + 0 + 27/40*p**5 + 7/4*p**3 - 15/8*p**4. Suppose v(d) = 0. Calculate d.
0, 1, 7
Factor -8 - 1/4*f**4 - 11/4*f**3 - 16*f - 21/2*f**2.
-(f + 1)*(f + 2)*(f + 4)**2/4
Let m(f) be the first derivative of -f**3/3 - 3*f**2/2 + 10*f + 6. Let y be m(-3). Find x, given that 12*x - 5 - y*x - 12*x - 5*x**2 = 0.
-1
Suppose 0 = 81*m - 104 - 301. Let t be (4/m)/((-15 - -5)/(-50)). Suppose 1/4*s**5 - 11/4*s + 1/4*s**t - 3/2*s**3 - 3/4 - 7/2*s**2 = 0. What is s?
-1, 3
Suppose -133*m**4 + 263*m**3 + m**5 - 131*m**2 - 5407 + 5407 = 0. What is m?
0, 1, 131
Suppose -c - 2*v = -3*v + 3, 0 = -5*c + 2*v. Factor -435*r + 211*r - 12*r**c - 4*r**3 + 240*r.
-4*r*(r - 1)*(r + 4)
Let m be (-13738)/(-4) - 2/4. Suppose -a = 2*a + 15, 0 = 4*c - 2*a - m. Factor 0*n**2 + 860 - c + 6*n**3 + 14*n + 16*n**2.
2*(n + 1)**2*(3*n + 2)
Let l be -11*(-8)/440*21*42/441. Let -l*g**2 - 72/5*g - 648/5 = 0. Calculate g.
-18
Find k such that -6920/13*k + 1200/13 - 70/13*k**5 - 232/13*k**4 + 2634/13*k**3 + 676*k**2 = 0.
-5, 2/7, 2/5, 6
Let b(j) be the first derivative of 37 + 0*j + 0*j**3 - 67/4*j**4 + 2*j**2 + 63/5*j**5. What is x in b(x) = 0?
-2/9, 0, 2/7, 1
Let -24*d**4 + 3*d**3 - 17*d**2 + 9*d**3 + 44*d**2 + 21*d + 53*d**2 - 4*d**5 + 27*d = 0. Calculate d.
-6, -1, 0, 2
Suppose -4*b = 4*v + 2244, 1859 + 976 = -5*b + v. Let m = b - -2864/5. Let -m*f**4 - 6/5 + 8*f**2 + 2*f**3 - 19/5*f + 9/5*f**5 = 0. What is f?
-1, -2/9, 1, 3
Suppose -8 - 18 = -3*o - 4*c, -2*o + 9 = c. Solve 10*t - 7 - 79*t**2 - 21*t**o + 19 = 0 for t.
-3/10, 2/5
Let m(j) be the second derivative of 5*j**4/12 + 655*j**3/3 + 85805*j**2/2 + 794*j. Let m(n) = 0. What is n?
-131
Suppose 0 = -60*c + 58*c + 1274. Let u = c - 3179/5. Determine g so that 9/5*g + 0 - 3/5*g**3 + u*g**2 = 0.
-1, 0, 3
Let z(y) = 482*y**2 + 6*y - 5. Let i be z(1). Let n = -483 + i. Solve n - 1/4*o + o**2 = 0.
0, 1/4
Suppose -3151 = 41*l + 42*l - 15352. Let h(r) be the first derivative of -686*r + l*r**2 - 14*r**3 + 1/2*r**4 - 12. Factor h(k).
2*(k - 7)**3
Suppose 257*s - 57 = -263*s + 2023. Let t(f) be the first derivative of -10*f - 14/3*f**3 - 1/2*f**s - 11*f**2 + 19. Find a such that t(a) = 0.
-5, -1
Let b(p) = 3*p**2 - 24*p + 184. Let u be b(6). Suppose 31*w + u = 303. Find r such that 0 + 0*r - 5/2*r**3 - 1/2*r**w - 2*r**4 - r**2 = 0.
-2, -1, 0
Let t(q) be the second derivative of -11/12*q**4 - 1/30*q**6 + q + 0*q**3 + 3/5*q**5 + 33 + 0*q**2. Factor t(n).
-n**2*(n - 11)*(n - 1)
Let a(j) be the third derivative of -j**6/1320 + j**5/60 + 13*j**4/132 + j**2 - 36. Solve a(n) = 0.
-2, 0, 13
Let z(h) = -h**2 + 5*h - 1. Let a be z(1). Let b(u) be the third derivative of 0*u**6 + 0*u + 0*u**5 + 0*u**a + 0 + 27*u**2 + 0*u**4 + 1/210*u**7. Factor b(n).
n**4
Let a(t) = 5*t**2 + 2*t - 2. Let v(r) = 49*r**2 + 44*r - 48. Let s(w) = -40*a(w) + 5*v(w). Determine q, given that s(q) = 0.
-4, 8/9
Determine w, given that -144*w - 1/6*w**2 + 865/6 = 0.
-865, 1
Let k = 21021 - 21017. Let f(r) be the first derivative of -2*r**2 + 0*r + 3 + 3*r**3 - 3/2*r**k + 1/5*r**5. Factor f(s).
s*(s - 4)*(s - 1)**2
Solve 1/2*z**2 - 7*z + 13/2 = 0 for z.
1, 13
Let p(j) = -13*j**2 - 19*j - 35. Let i be p(7). Let n = i + 809. Solve 1/3*k**5 + 0 - 4/3*k**4 - 2/3*k**3 + 3*k + n*k**2 = 0 for k.
-1, 0, 3
Suppose 2*q + 5*l - 3*l - 184 = 0, 0 = -5*l + 10. Let r be (-5)/q*20*(-12)/10. Factor r*u**3 + 16/3*u**2 + 16/3*u + 0.
4*u*(u + 2)**2/3
Let i = 7324141/4185228 + 2/1046307. Solve -2*g + i*g**3 + 1/4*g**5 - 5/4*g**4 + 1/4*g**2 + 1 = 0.
-1, 1, 2
What is a in -207/8 - 129/8*a + 75/8*a**2 - 3/8*a**3 = 0?
-1, 3, 23
Let x(j) be the third derivative of -j**8/1848 + 6*j**7/385 - 4*j**6/165 - 3*j**5/55 + 17*j**4/132 - 121*j**2 - 1. Solve x(o) = 0.
-1, 0, 1, 17
Let u be (-6 - -2) + 50/2. Suppose -3*s - 4*k + 8 = -10, 0 = 3*s + 5*k - u. Solve -5*y + 22*y**2 + 21*y**2 - 60*y**s + 22*y**2 = 0 for y.
0, 1
Let s(f) be the second derivative of 7*f**4/16 - 65*f**3/4 - 75*f**2 + 34*f + 53. Factor s(h).
3*(h - 20)*(7*h + 10)/4
Let r be 84/1848 - (-18)/(-396). What is w in -2/7*w**3 + 0 + r*w**2 - 2/7*w**4 + 0*w = 0?
-1, 0
Let f = 406 + -392. Let g(l) = 2*l**2 - 39*l - 44. Let o(z) = -10*z**2 + 194*z + 218. Let i(n) = f*g(n) + 3*o(n). Determine d so that i(d) = 0.
-1, 19
Let i(t) be the first derivative of -t**3 + 1/8*t**4 - 15/4*t**2 + 15 - 4*t. Let i(b) = 0. Calculate b.
-1, 8
Let b(c) be the third derivative of 2*c**5/85 + 19*c**4/204 - 10*c**3/51 + 173*c**2 + 1. Suppose b(w) = 0. What is w?
-2, 5/12
Let a(x) = -9*x**2 - 133*x - 109. Let q(z) = -5*z**2 - 67*z - 53. Let s(h) = 3*a(h) - 5*q(h). Factor s(k).
-2*(k + 1)*(k + 31)
Let l(h) be the first derivative of -3*h**4/8 - 1237*h**3/2 - 287370*h**2 - 572886*h + 901. Factor l(n).
-3*(n + 1)*(n + 618)**2/2
Suppose -3*c + 9 = 0, q + 2*c = -q + 10. Let 18*t + 27*t**4 - 29*t**4 - 14*t**3 - 9*t**q + 14*t - 7*t**2 = 0. What is t?
-4, 0, 1
Let b be (40/(-30))/(2/(-3)). Determine u so that -16*u**b - 6*u - 20*u**4 + 17*u**4 + 7*u**4 - 6*u**3 + 0*u = 0.
-1, -1/2, 0, 3
Let k(w) = -4*w**4 - 733*w**3 - 33124*w**2 + 5*w. Let c(l) = -2*l**4 - 367*l**3 - 16562*l**2 + 3*l. Let r(a) = -5*c(a) + 3*k(a). Factor r(y).
-2*y**2*(y + 91)**2
Let r(h) be the first derivative of 2*h**3/9 + 155*h**2/3 + 304*h - 3605. Factor r(v).
2*(v + 3)*(v + 152)/3
Let p(z) be the second derivative of 1/30*z**4 + 2/5*z**2 + 44*z + 1/5*z**3 + 0. Solve p(m) = 0.
-2, -1
Let r(g) be the second derivative of g**4/4 - 621*g**3/2 - 933*g**2 + 6*g + 442. Suppose r(i) = 0. Calculate i.
-1, 622
Let r(l) be the third derivative of -8/3*l**4 - 17/15*l**5 + 0*l - 1/30*l**6 + 0 + 54*l**2 + 0*l**3. Factor r(y).
-4*y*(y + 1)*(y + 16)
Let g be 7*(1 + -3)/(-2). Suppose -r + 48 = g*r. What is c in 15*c**4 - 2*c**3 + 20*c + c**3 + r*c**3 - 26*c**2 - 14*c**2 = 0?
-2, 0, 2/3, 1
Suppose -30*z + 87*z = 14991. Let q = 529/2 - z. Factor 1/4*v + 1/4*v**2 - q.
(v - 2)*(v + 3)/4
Factor -858 + 133*a**3 - 404*a**3 + 1715*a - 856*a**2 + 135*a**3 + 135*a**3.
-(a - 1)**2*(a + 858)
Let x(g) = -14*g**3 + 2*g**2 + 3*g + 2. Let a be x(-1). Suppose a*c = 10*c + 45. Factor c*p**3 - 3*p**3 - p**3.
5*p**3
Let a(y) = 4*y**5 - y**4 - 2*y**3 + 3*y + 2. Let b(c) = -33*c**5 + 14*c**4 + 187*c**3 + 760*c**2 + 876*c - 16. Let p(j) = -8*a(j) - b(j). Solve p(x) = 0 for x.
-5, -2, 0, 18
Let i(r) = -r**4 - 11*r**3 - 17*r**2 - 5*r. Let c(o) = 6*o**4 + 65*o**3 + 99*o**2 + 27*o. Let h(u) = -4*c(u) - 26*i(u). Factor h(s).
2*s*(s + 1)**2*(s + 11)
Let a(m) be the third derivative of -63*m**2 - 1/24*m**4 + 0*m - 1/336*m**8 + 0 + 1/105*m**7 + 1/3*m**3 - 1/15*m**5 + 1/60*m**6. Suppose a(n) = 0. What is n?
-1, 1, 2
Factor -20/3*d**3 + 164*d + 0 - 808/3*d**2.
-4*d*(d + 41)*(5*d - 3)/3
Let l be (0 - -2) + 9/(-3). Let g = 27 + l. Factor -12*y**4 - 15*y**3 + 10 - 5*y**2 + g*y**4 - 19*y**4 + 15*y.
-5*(y - 1)*(y + 1)**2*(y + 2)
Let l(r) = -r**4 + 11*r**3 + 61*r**2 - 83*r - 6. Let a(z) = 6*z**4 - 52*z**3 - 304*z**2 + 416*z + 33. Let d(i) = -2*a(i) - 11*l(i). Factor d(m).
-m*(m - 1)*(m + 9)**2
Suppose -18*t + 2644 = 17116. Let q = 7244/9 + t. Factor -2/9*s**4 +