e 59*l - 27*l**4 + 90*l**2 - 15*l**3 + 141*l + 22*l**4 = 0. What is l?
-5, -2, 0, 4
Let c(h) = 6*h**2 - h - 2. Let t(y) = -53*y**2 - 1298*y - 2600. Let g(w) = -45*c(w) - 5*t(w). Factor g(f).
-5*(f - 1309)*(f + 2)
Suppose -27*h + 8 = -25*h. Suppose h*g = 12 - 0. Solve -10*b**2 + 89*b**g + 15*b - 94*b**3 + 0*b = 0 for b.
-3, 0, 1
Let m(i) = -2*i**3 + 22*i**2 + 1076*i + 6194. Let g(q) = -2*q**3 + 22*q**2 + 1082*q + 6193. Let x(f) = -6*g(f) + 7*m(f). Factor x(j).
-2*(j - 31)*(j + 10)**2
Let m = 927995/7 + -130834. Let a = m + -1731. Factor -a*p**3 - 4/7*p**4 + 0 + 0*p - 100/7*p**2.
-4*p**2*(p + 5)**2/7
Factor -3/7*h**3 + 3/7*h + 39/7 - 39/7*h**2.
-3*(h - 1)*(h + 1)*(h + 13)/7
Let m(a) = -9*a**2 - 745*a - 731. Let o(x) = 5*x**2 + 373*x + 365. Let f(i) = -3*m(i) - 5*o(i). Solve f(l) = 0.
-184, -1
Let l be 3/(-19) - (-696150)/27132. Solve 27 - l*n - 3/2*n**2 = 0.
-18, 1
Let c(o) be the first derivative of o**6/6 + 7*o**5/5 - 30*o**4 - 181. Factor c(l).
l**3*(l - 8)*(l + 15)
Let m = 161 - 161. Let c be -7 - (m - 2) - (-545)/25. Find t such that 164/5*t**4 - 196/5*t**3 + c*t**2 + 4/5*t - 8/5 - 48/5*t**5 = 0.
-1/4, 2/3, 1
Suppose 5*p = 4*i - 60, -5*p = -28*i + 23*i + 70. Let w(u) be the first derivative of 15*u + 5/3*u**3 + i*u**2 + 27. Solve w(h) = 0.
-3, -1
Let t(m) be the third derivative of -m**5/12 - 1075*m**4/24 - 535*m**3/3 + 101*m**2 + 18. Factor t(v).
-5*(v + 1)*(v + 214)
Find s such that -1814/3*s - 260 - 342*s**2 + 8/3*s**3 = 0.
-1, -3/4, 130
Factor -109*x**2 - 1697*x + 269*x - 86*x**3 - 1692 + 94*x**2 + 83*x**3 - 282*x**2.
-3*(x + 2)*(x + 3)*(x + 94)
Suppose 2*h = -3*s + 1966, 18*s - 22*s = h - 988. Let c = h + -3919/4. Factor c*j - 9/8*j**2 + 0.
-j*(9*j - 2)/8
Let r(t) be the first derivative of -t**6/6 - 5*t**5/4 + 5*t**4/12 + 25*t**3/6 + 26*t + 15. Let p(w) be the first derivative of r(w). Factor p(q).
-5*q*(q - 1)*(q + 1)*(q + 5)
Let m(v) be the first derivative of -v**7/1120 + v**6/40 + v**5/40 - 3*v**4/2 - v**3 + 7*v**2/2 + 41. Let z(r) be the third derivative of m(r). Factor z(u).
-3*(u - 12)*(u - 2)*(u + 2)/4
Let s(v) be the third derivative of -256/21*v**4 + 4 - 8/15*v**6 + 0*v - 1/588*v**8 + 352/105*v**5 + 7*v**2 + 512/21*v**3 + 34/735*v**7. What is q in s(q) = 0?
1, 4
Let y(h) be the first derivative of 50*h**3/21 + 349*h**2/7 - 4*h + 1205. Suppose y(n) = 0. What is n?
-14, 1/25
Let x(q) = 2*q**2 + 9*q - 1. Let j(r) = 4*r**3 - 124*r**2 - 676*r - 164. Let w(y) = -j(y) - 60*x(y). Suppose w(p) = 0. Calculate p.
-4, -2, 7
Let k(c) = -2*c**2 + 4*c - 2. Let m be k(2). Let o be ((-5)/15)/(m/24). Factor 2*p**4 - 5*p**3 + 15*p**3 + 2*p**o - 9*p**4.
-5*p**3*(p - 2)
Let i(u) = u**2 - 2481*u + 24712. Let z be i(10). Determine m so that 2/5*m**z - 16/5*m - 18/5 = 0.
-1, 9
Suppose -41*x + 154 - 53 = -22. Factor 1/2*z**2 + 0*z - 3/4*z**x - 5/4*z**4 + 0.
-z**2*(z + 1)*(5*z - 2)/4
Suppose 5*v - 13 = 4*m, -4*m + 1 = -3*v + 4. What is i in 2*i**5 + i**m + 13*i - 16*i**2 + 5 + 11*i**4 - 5*i**3 - 17*i + 6*i**3 = 0?
-5, -1, 1/2, 1
Let x = -261129 - -261131. Factor 2*j**x + 50/3*j + 16/3.
2*(j + 8)*(3*j + 1)/3
Find t, given that -2/3*t**2 + 468 - 1402/3*t = 0.
-702, 1
Let j(t) be the first derivative of t**8/3192 - t**6/570 + t**4/228 - t**2/2 + t - 1. Let d(q) be the second derivative of j(q). Find c, given that d(c) = 0.
-1, 0, 1
Let i be (-9333)/(-204) - 43 - (-2)/(-8). Solve 0 - 1/2*l**3 - i*l**2 - 2*l = 0.
-4, -1, 0
Solve 129*w - 3*w**3 - 128*w**2 + 25 + 561*w - 25 + w**3 = 0 for w.
-69, 0, 5
Let r(y) be the second derivative of y**7/112 + 63*y**6/40 + 372*y**5/5 - 63*y**4/16 - 3969*y**3/16 - 1833*y. Let r(j) = 0. Calculate j.
-63, -1, 0, 1
Let w(c) be the second derivative of 0 + 1/2*c**2 + 13*c + 25/36*c**3 + 5/72*c**4 + 1/360*c**5. Let m(h) be the first derivative of w(h). Factor m(n).
(n + 5)**2/6
Let q(k) be the first derivative of -10*k**3/9 - 5125*k**2/12 - 640*k/3 - 1131. What is b in q(b) = 0?
-256, -1/4
Suppose -51*w = -59*w + 104. Let n be -4 + w + (-48)/8. Suppose 4/5*c**n + 16/5 - 4/5*c**2 - 16/5*c = 0. What is c?
-2, 1, 2
Let l(f) be the third derivative of f**7/630 + 79*f**6/360 + 479*f**5/60 - 4879*f**4/72 + 1681*f**3/9 + 23*f**2 - 2. Solve l(d) = 0.
-41, 1, 2
Let -237 - 4*g**2 - 76 + 1280*g - 815 - 148 = 0. What is g?
1, 319
Let -15/2*m - 18*m**2 + 3*m**4 - 13*m**3 - 1 + 9/2*m**5 = 0. Calculate m.
-1, -1/3, 2
Let m(p) be the first derivative of -p**5/20 + p**4 - 15*p**3/2 + 25*p**2 - 74*p - 57. Let b(d) be the first derivative of m(d). Factor b(l).
-(l - 5)**2*(l - 2)
Let v(f) = 53*f - 845. Let m be v(16). Let k(a) be the second derivative of -4/21*a**m + 0*a**2 + 2*a - 1/21*a**4 + 0. Factor k(j).
-4*j*(j + 2)/7
Let j(v) be the third derivative of -v**5/390 + 41*v**4/156 + 44*v**3/13 - 41*v**2 + 13*v. Determine a so that j(a) = 0.
-3, 44
Let g(i) = -552*i**2 + 1682*i - 1124. Let h(c) = 2*c**3 - 552*c**2 + 1681*c - 1122. Let r(w) = -3*g(w) + 2*h(w). Factor r(z).
4*(z - 2)*(z - 1)*(z + 141)
Let a(t) be the first derivative of t**3/12 - 81*t/4 - 951. Factor a(r).
(r - 9)*(r + 9)/4
Let a(j) = 2*j**3 - j**2 + 6. Let h(u) = 10*u**3 + 46*u**2 - 52*u + 24. Let w(n) = 4*a(n) - h(n). Factor w(k).
-2*k*(k - 1)*(k + 26)
Suppose -4*j + 111 = -5*w - 83, -3*w - j - 113 = 0. Let z be (-4)/(-16) - (w/8 - 0). Factor 45*s**2 + 12*s**4 - 7*s**z + 40*s**2 - 87*s**2 - 3*s**3.
-s**2*(s - 1)**2*(7*s + 2)
Let q(i) be the first derivative of -3*i**6/40 + i**5/10 + 5*i**4/8 - i**2/2 + 22*i + 102. Let t(k) be the second derivative of q(k). Factor t(j).
-3*j*(j + 1)*(3*j - 5)
Let f(c) be the third derivative of c**10/22680 + c**9/11340 - c**8/840 - 2*c**4/3 - 7*c**2 - 3*c. Let r(g) be the second derivative of f(g). Factor r(v).
4*v**3*(v - 2)*(v + 3)/3
Let h(p) be the first derivative of -p**4/22 - 38*p**3/33 + 30*p**2 - 1833. Factor h(u).
-2*u*(u - 11)*(u + 30)/11
Let u(q) = q**2 - 14*q - 5. Let n be u(15). Suppose 15 + 3*l**2 + 3*l**2 - 4*l**2 - 7*l**2 + n*l = 0. Calculate l.
-1, 3
Let g = 110739 - 1663867/15. Let d = 186 + g. Find r such that 2/15*r**2 - 8/5*r**3 + 8/5*r + d - 2/3*r**4 = 0.
-2, -1, -2/5, 1
Let r(t) = 14*t**2 + 228*t + 2174. Let n(v) = -5*v**2 - 76*v - 725. Let l = 19 + -22. Let c(d) = l*r(d) - 8*n(d). Factor c(h).
-2*(h + 19)**2
Let j be (-9)/27 - (-1 + (-7)/3). Factor 100*q**4 + 13 + 3072*q + 178 + 4576*q**2 + 1280*q**j + 385.
4*(q + 6)**2*(5*q + 2)**2
Let 0*m + 0 + 8/3*m**3 - 4/3*m**4 + 64*m**2 = 0. Calculate m.
-6, 0, 8
Let p(n) be the second derivative of -24/7*n**2 + 1/14*n**5 + 46/21*n**3 - 8*n + 0 + 11/14*n**4. Suppose p(i) = 0. What is i?
-4, -3, 2/5
Let s = 340 + -335. Factor 10*n + n**4 + 0 + 0 - 46*n**5 + n**3 + 45*n**s + 14*n**3 + 23*n**2.
-n*(n - 5)*(n + 1)**2*(n + 2)
Let 2*w**3 + 0 + 20/3*w**2 - 16*w - 2/3*w**4 = 0. Calculate w.
-3, 0, 2, 4
Let r(q) = -6*q + 27. Let l be r(4). Suppose 0 = 5*w + 5, 5*a + 0*w - 3*w = l. Suppose 0 - 1/3*j**3 + j**2 + a*j = 0. What is j?
0, 3
Solve -56/3*v - 16/3*v**4 - 16/3 - 2/3*v**5 - 76/3*v**2 - 50/3*v**3 = 0 for v.
-2, -1
Factor 1/5*m**3 - 4/5*m - 34/5*m**2 + 136/5.
(m - 34)*(m - 2)*(m + 2)/5
Let h be 1 - (6/1359)/((-8)/(-2452)). Let q = -3/151 - h. Factor 0 + 2/3*r**2 + 1/3*r**5 - q*r + 0*r**3 - 2/3*r**4.
r*(r - 1)**3*(r + 1)/3
Suppose -69*l + 79*l - 60 = 0. Let -96*n + 196*n - 15 - l*n**2 - 81 + 2*n**2 = 0. Calculate n.
1, 24
Factor -3/5*o**2 - 1/5*o**3 - 3/5*o - 1/5.
-(o + 1)**3/5
Let v(l) be the first derivative of l**5/30 - l**4/3 + 17*l**3/18 - 5*l**2/6 + 3149. Suppose v(a) = 0. Calculate a.
0, 1, 2, 5
Determine a so that 73 - 13 - 312*a + 474*a**3 - 162*a**5 - 110567459*a**4 + 110567306*a**4 + 93*a**2 = 0.
-2, -1, 2/9, 5/6, 1
Let l(i) be the second derivative of -3*i**5/80 - 72*i**4 - 55296*i**3 - 21233664*i**2 + 27*i + 11. Factor l(u).
-3*(u + 384)**3/4
Let b = -351 - -354. Factor 3*d**4 - 18056*d**b + 205*d + 160 + 2*d**4 + 18031*d**3 - 45*d - 30*d**2.
5*(d - 4)**2*(d + 1)*(d + 2)
Let x(h) = -18*h**3 + 2756*h**2 - 1280648*h + 197222264. Let z(p) = -2*p**3 - 2*p**2 + 2*p + 1. Let t(u) = x(u) - 8*z(u). Factor t(f).
-2*(f - 462)**3
Suppose -80 = -7*v + 3*v + 4*s, -5*v - 2*s = -86. Let f(m) = -6*m**3 + 6*m**2 - 3*m - 3. Let o be f(-1). Let 0 - z**2 - v - 21 + 3 - o*z = 0. Calculate z.
-6
Let p be (-1 - (-1504)/40)*115/207. Factor p*j + 5/6*j**2 + 8.
(j + 24)*(5*j + 2)/6
Let g(k) = -