121*x**2 + 55398*x - 36534781. Let g(w) = -18*w**2 + 7914*w - 5219253. Let s(p) = 20*g(p) - 3*t(p). Factor s(i).
3*(i - 1319)**2
Let s be ((-145)/(-15) + -9)/(5 + -4). Let x be (-3 - 1) + (8 - 2). Factor -2/3*y**4 + s*y + x*y**3 - 2*y**2 + 0.
-2*y*(y - 1)**3/3
Suppose -62 = -2*l - 56. Suppose l*d + 1053 = 1062. Find h such that 1/4*h - 1/4*h**d + 3/8 + 1/8*h**4 - 1/2*h**2 = 0.
-1, 1, 3
Let t(i) = 10*i + 88. Let a(n) = 4*n + 45. Let v(x) = -14*a(x) + 6*t(x). Let j be v(26). Let 0 - 2/7*w**3 - 8/7*w**j - 6/7*w = 0. What is w?
-3, -1, 0
Let l(g) be the second derivative of -g**7/126 + 7*g**6/45 - 9*g**5/10 - g**4/9 + 215*g**3/18 + 25*g**2 - 2*g - 20. Suppose l(v) = 0. What is v?
-1, 5, 6
Let v(c) be the second derivative of -339/35*c**5 + 8/15*c**6 + 14/3*c**4 + 5*c + 40/3*c**3 + 48/7*c**2 + 2/3*c**7 - 11. What is b in v(b) = 0?
-3, -2/7, 1, 2
Let i(n) be the first derivative of -n**6/5 - 292*n**5/25 - 231*n**4/10 + 128*n**3/5 + 188*n**2/5 + 3678. Find g such that i(g) = 0.
-47, -2, -2/3, 0, 1
Let d = -922021/13 + 70925. Factor -d*n**2 - 2/13*n + 4/13 + 2/13*n**3.
2*(n - 2)*(n - 1)*(n + 1)/13
Solve -58/7*u**3 - 2/7*u**4 + 0 + 186/7*u + 130/7*u**2 = 0 for u.
-31, -1, 0, 3
Let x(o) be the first derivative of -5*o**4/4 - 20*o**3/3 - 15*o**2/2 + 63. Factor x(b).
-5*b*(b + 1)*(b + 3)
What is g in -38*g**3 - 46*g**3 - 456*g - 2640*g**2 + 886 - 3*g**4 + 122 + 2175*g**2 = 0?
-21, -4, 1
Suppose -8 = -4*l - 0. Suppose -529 = -28*k + 703. Let -d + l*d**2 - 5*d**3 + 6*d + k*d**2 - 40 - 6*d**2 = 0. Calculate d.
-1, 1, 8
Let j(g) = g + 12. Let y be j(-10). Suppose 3*x - 2 = y*b, -4*b + 2 = -2*x - x. What is s in -6*s - x*s + 0*s - s**2 - s**2 = 0?
-4, 0
Let y(p) be the first derivative of -4/3*p**2 + 1/9*p**3 + 7/3*p + 46. Let y(g) = 0. What is g?
1, 7
Factor -4*r**2 - 8*r**2 - 240 - 68*r - 11*r**2 + 30*r**2 - 11*r**2.
-4*(r + 5)*(r + 12)
Determine o so that 18/5*o**2 - 52/5*o + 32/5 = 0.
8/9, 2
Let y(t) be the third derivative of t**7/70 - 53*t**6/20 + 751*t**5/5 - 4947*t**4/4 - 13005*t**3/2 + 16*t**2 + 4*t - 1. Suppose y(d) = 0. Calculate d.
-1, 5, 51
Suppose 12 - 52 = -20*m. Factor 70*h - 110*h**3 - 21*h**2 - 5*h**4 + 9*h**m + 40*h + 17*h**2.
-5*h*(h - 1)*(h + 1)*(h + 22)
Suppose -n + 3 = -2. Let r be -4 - ((-4)/(-4) + -4 - n). Solve 15/4*j**5 - 3/2 + 33/2*j**3 + 6*j**2 + 27/2*j**r - 9/4*j = 0.
-1, 2/5
Suppose 9*t = 7*t + 4. Determine y, given that 3*y**2 - 192*y + 2*y**t + 189*y - 4*y**2 = 0.
0, 3
Let a(t) be the first derivative of 5*t**6/12 - 37*t**5/15 + 115*t**4/24 - 26*t**3/9 - t**2/3 + 4806. Let a(i) = 0. Calculate i.
-1/15, 0, 1, 2
Let j(m) be the first derivative of 42 - 3*m**3 + 11/8*m**2 + 5*m**5 - 185/16*m**4 + 1/2*m. Suppose j(o) = 0. What is o?
-1/5, 1/4, 2
Let a(p) be the third derivative of 1/21*p**5 + 0*p**3 - 3/20*p**6 + 0 + 102*p**2 + 2/21*p**4 + 0*p. Determine f, given that a(f) = 0.
-2/7, 0, 4/9
Let m(t) be the third derivative of 0*t**4 + 0 - 1/24*t**6 + 2*t**2 + 22*t + 0*t**3 - 1/210*t**7 + 0*t**5. Let m(l) = 0. What is l?
-5, 0
Let r(a) be the first derivative of 1/6*a**3 - 2*a**2 + 15/2*a - 5. Factor r(u).
(u - 5)*(u - 3)/2
Let y(v) be the first derivative of 1/15*v**3 + 44 - 4/5*v**2 + 7/5*v. Factor y(h).
(h - 7)*(h - 1)/5
Let l = 56261/97 - 580. Let o = l - -871/194. Solve 0 - 3/2*y**4 - 9/2*y**3 - o*y**2 - 3/2*y = 0.
-1, 0
Let z(k) be the third derivative of 3*k**5/20 + 7*k**4/2 + 31*k**3/6 - 2*k**2 - 47. Let l be z(-9). Solve 0*b + 0*b**2 - 2/5*b**3 + 0 - 2/5*b**l = 0.
-1, 0
Let d(a) = a**2 + 2. Let n(j) = 16*j**2 - 16*j - 14. Let x(u) = -12*d(u) + n(u). Let z(r) = 4*r**2 - 16*r - 40. Let f(g) = -4*x(g) + 5*z(g). Factor f(y).
4*(y - 6)*(y + 2)
Let h(p) be the second derivative of -p**5/50 - 2*p**4/15 + 13*p**3/5 - 54*p**2/5 + 5299*p. Factor h(n).
-2*(n - 3)*(n - 2)*(n + 9)/5
Let i(o) be the first derivative of -27/32*o**4 + 3/4*o + 3/2*o**3 - 63 + 33/16*o**2. Factor i(m).
-3*(m - 2)*(3*m + 1)**2/8
Suppose -2*l - 5*t + 3*t = 4, 0 = 3*l - 3*t - 24. Factor 20*j + 15*j**2 + 9*j**3 + l*j**3 - 2*j**3 - 15*j**3.
-5*j*(j - 4)*(j + 1)
Determine p so that 78/5*p**2 + 15066/5 + 2862/5*p - 6/5*p**3 = 0.
-9, 31
Let a(b) = -2*b**2 + b + 2. Let g(u) = 545 - 127*u - 11*u**2 + 598 + 41*u + 338 + 647. Let f(q) = 6*a(q) - g(q). Factor f(o).
-(o - 46)**2
Let o(n) be the first derivative of 49*n**6/6 + 394*n**5/5 + 449*n**4/2 + 12*n**3 - 1323*n**2/2 - 54*n - 3479. Factor o(b).
(b - 1)*(b + 3)**3*(49*b + 2)
Determine b, given that -4082 + 2398 + 6810*b + 2*b**2 - 4*b**2 - 5121 - 3*b**2 = 0.
1, 1361
Suppose -229*i = -56*i - 256 - 90. Let d(q) be the second derivative of 2*q - 2/35*q**5 + 1/105*q**6 + 0*q**i + 0 + 5/42*q**4 - 2/21*q**3. Factor d(f).
2*f*(f - 2)*(f - 1)**2/7
Let o = 143 - 137. Suppose -2*n - 5*l + 24 = 0, -n - 4*l = -6*n - o. Find g, given that -1/3*g**n + 2*g - 5/3 = 0.
1, 5
Let 200*b - 828 - 4*b**2 + 135*b + 404*b + 93*b = 0. What is b?
1, 207
Suppose 161 - 76 = 54*n - 239. Let p(z) be the second derivative of -1/8*z**5 + 0 - 12*z + 0*z**4 + 0*z**n + 0*z**3 + 5/84*z**7 + 0*z**2. Factor p(j).
5*j**3*(j - 1)*(j + 1)/2
Let g be -392 + 384 + -1 + 1 + 17. Let y(x) be the first derivative of -4/3*x + g - 5/9*x**3 - 2*x**2 + 3/5*x**5 + x**4. Solve y(d) = 0.
-1, -2/3, 1
Let p(m) be the third derivative of 4/15*m**5 + 0*m**4 - 11 + 0*m**3 - 2*m**2 + 0*m + 4/15*m**6 + 2/35*m**7. Factor p(k).
4*k**2*(k + 2)*(3*k + 2)
Suppose -3*s + 2*c + 2 = 0, -2*s - 3*c = 3*s - 35. Let b = -117867 - -117870. Factor b*x**2 - 3/2 + 0*x - 3/2*x**s + 0*x**3.
-3*(x - 1)**2*(x + 1)**2/2
Find h, given that -24*h**4 - 2/3*h**5 + 896*h - 1820/3*h**2 + 3072 - 254*h**3 = 0.
-16, -3, 2
Determine q, given that -4/7*q**2 + 0 - 68*q = 0.
-119, 0
Let o(c) be the third derivative of 3025*c**8/672 - 99*c**7/7 + 1403*c**6/120 + 9*c**5/10 + c**4/48 - 30*c**2 + 1. Let o(f) = 0. Calculate f.
-1/55, 0, 1
Let q(p) be the first derivative of 3/32*p**4 - 9/8*p**2 + 0*p + 142 + 5/8*p**3. Factor q(s).
3*s*(s - 1)*(s + 6)/8
Suppose -3*l + 16 = -2*t, -l = -0*l + 3*t + 13. Determine f so that 4*f - 27*f + 3*f**l + 7*f + 7*f = 0.
0, 3
Determine p, given that 0 - 48*p**4 + 0*p**2 - 1798/5*p**5 + 0*p - 8/5*p**3 = 0.
-2/29, -2/31, 0
Let m(f) = f**3 - 17*f**2 + 27*f + 6. Let q be m(13). Let r be -4 - (3 + -4)/((-77)/q). Factor -10/7*d**2 + 10/7*d**3 + r*d**5 + 5/7*d - 5/7*d**4 - 1/7.
(d - 1)**5/7
Let w = 6 + -3. Suppose 0 = -11*v + 14*v - 4*c + 12, 5*c = 4*v + 14. Factor 2*h + 6*h**2 - 69*h**4 + v*h**w - h**2 + 70*h**4.
h*(h + 1)**2*(h + 2)
Let n = 8 - 14. Let v(q) = -q**2 - 10*q - 15. Let t be v(n). Determine m so that -9*m - 27 + 6*m**2 - t*m - 9*m**2 = 0.
-3
Let r(c) be the second derivative of c**4/4 + 76*c**3 + 8664*c**2 - 151*c - 9. Find a such that r(a) = 0.
-76
Solve 1/4*w**5 - 105/4*w**3 + 171/4*w**2 + 13/4*w**4 + 0 + 0*w = 0 for w.
-19, 0, 3
Let o(z) = -z. Let h(s) = 2*s**4 + 13666*s**3 + 31122036*s**2 + 23611242194*s - 23642377904. Let i(d) = -h(d) + 6*o(d). Determine m so that i(m) = 0.
-2278, 1
Suppose 4*n = q + 21, 0 = 2*n + 2*n + 3*q - 1. What is c in -n*c - 8*c + 6*c + 2*c**2 + 3 + c**2 = 0?
1
Suppose 10*z - 4661 = 13*z - 4*c, 0 = z - c + 1554. Let o = 1560 + z. Determine i, given that -9/2*i + 2*i**4 + i**3 - 6*i**2 + 0 - 1/2*i**o = 0.
-1, 0, 3
Let n(k) be the third derivative of k**8/1260 - k**7/315 - k**6/25 + 59*k**5/450 - k**4/9 - 2*k**2 + 928*k. Suppose n(x) = 0. What is x?
-4, 0, 1/2, 1, 5
Let l(g) be the third derivative of -g**6/150 - 4*g**5/25 - 9*g**4/10 + 16*g**3/3 + 2317*g**2. What is c in l(c) = 0?
-8, -5, 1
Let s(w) be the first derivative of w**7/35 + 12*w**6/5 + 54*w**5 - 224*w + 166. Let c(g) be the first derivative of s(g). Factor c(l).
6*l**3*(l + 30)**2/5
Let a(l) = 1728 + 1769 - 3594 - 33*l. Let z be a(-3). Factor 1/5*p**3 + 0*p + 0 + 2/5*p**z.
p**2*(p + 2)/5
Let c(n) be the first derivative of 2*n**3/21 + 13*n**2/7 + 24*n/7 + 286. Factor c(g).
2*(g + 1)*(g + 12)/7
Let y(i) be the third derivative of -7*i**5/150 + 409*i**4/20 - 70*i**3/3 - 36*i**2 - 5*i + 2. Determine f, given that y(f) = 0.
2/7, 175
Let n be (77 + 22)*(-1 - -2). Suppose 0 = 5*y - n + 89. Factor -344/7*o**y + 48/7*o + 0 - 14*o**4 + 92*o**3.
-2*o*(o - 6)*(7*o - 2)**2/7
Factor 8*d**2 - 2/3*d**3 + 62/3*d - 28.
-2*(d - 14)*(d - 1)*(d + 3)/3
Let z = 1094 - 1050. Let n be (6/4)/(z/88). Factor