Let x be 1 - -2 - (0 + 1). Suppose 1 - 131*j**x + 133*j**h + 3*j**3 - 1 = 0. Calculate j.
-2/3, 0
Let g(c) = -5*c**3 - 350*c**2 - 30623*c - 59862. Let y(n) = -17*n**3 - 1051*n**2 - 91870*n - 179588. Let f(l) = -7*g(l) + 2*y(l). Factor f(t).
(t + 2)*(t + 173)**2
Let x be (-3)/(-2)*16/6. Let z = 598918 + -598915. Determine o, given that -9/2*o**x - z*o + 3/2*o**5 + 3/2*o**3 + 9/2*o**2 + 0 = 0.
-1, 0, 1, 2
Let r(y) be the third derivative of 212*y**2 - 3/4*y**6 - 127/12*y**4 - 1/105*y**7 + 0*y - 14*y**3 + 0 - 43/10*y**5. Find a such that r(a) = 0.
-42, -1
Let u(t) be the first derivative of -t**6/240 + t**5/20 - t**4/4 + 2*t**3/3 + t**2/2 - 11. Let a(d) be the third derivative of u(d). Factor a(n).
-3*(n - 2)**2/2
Factor -1/3*o + 2/3*o**2 + 0 - 1/3*o**3.
-o*(o - 1)**2/3
Factor -12*f**2 + 7584*f - 1153529 + 15*f**2 - 6036103 - 5*f**2.
-2*(f - 1896)**2
Let w(f) be the second derivative of -f**5/40 - 295*f**4/24 + 74*f**3/3 - 571*f. Suppose w(s) = 0. What is s?
-296, 0, 1
Let h = 9824034/8029 - 8565/7. Let i = h + 1156/3441. Suppose -1/3*g + 0*g**2 + i*g**3 + 0 = 0. What is g?
-1, 0, 1
Let a be (-2)/(-9) - (-41722)/32652. What is r in 0 - a*r**2 + 9*r = 0?
0, 6
Let j(b) be the first derivative of -b**3/9 - 26*b**2/3 + 36*b - 729. Solve j(l) = 0.
-54, 2
Let d = 2316/77 + -14554/1001. Let 48/13 + 2/13*u**5 - 102/13*u**3 - 164/13*u + d*u**2 + 14/13*u**4 = 0. What is u?
-12, 1, 2
Factor 395/2 + 73/2*r**2 - 469/2*r + 1/2*r**3.
(r - 5)*(r - 1)*(r + 79)/2
What is m in 2/3*m**2 - 230/3 + 12*m = 0?
-23, 5
Let s = 1281/299 - 67/13. Let m = -54/115 - s. Factor -1/5*q**2 + 3/5*q - m.
-(q - 2)*(q - 1)/5
Factor 11484/5*n + 9801/5 + 1/5*n**4 + 1758/5*n**2 + 76/5*n**3.
(n + 1)*(n + 9)*(n + 33)**2/5
Let -6*z**2 - 2*z**3 + 0 + 10/3*z - 4*z**5 + 26/3*z**4 = 0. Calculate z.
-5/6, 0, 1
Let f = 410 + -408. Factor 48*c - 43 - 8*c**2 + 17*c**f + c**3 + 9*c**2 + c**3 + 75.
2*(c + 1)*(c + 4)**2
Suppose 8*w - 6 = 6*w. Let n(d) = w*d - 9*d - 14*d + 3*d**2 + 6*d. Let z(b) = b**2. Let m(x) = 2*n(x) - 10*z(x). Factor m(u).
-4*u*(u + 7)
Let o(d) = -2*d**3 + 6*d**2 + 2*d + 6. Let y(q) = -10*q**3 + 32*q**2 + 4*q + 31. Let a(b) = 19*o(b) - 4*y(b). Factor a(j).
2*(j - 5)*(j - 1)**2
Let k = 87176 + -87173. Factor 0 - 2/11*f**k + 16/11*f - 4/11*f**2.
-2*f*(f - 2)*(f + 4)/11
Let w be (24/(-15))/((-4)/(-200)). Let g be w/(-48) + (-2)/3 + 1. Factor 1 - 46*n**2 + 2 + 43*n**g.
-3*(n - 1)*(n + 1)
Factor -14/5*q**3 + 0*q - 2/5*q**5 - 2*q**4 - 6/5*q**2 + 0.
-2*q**2*(q + 1)**2*(q + 3)/5
Suppose 803*d - 64 = 787*d. Let a(i) be the first derivative of -7 - 8/21*i**3 - 10/21*i**6 + 0*i**2 + 5/7*i**d + 8/35*i**5 + 0*i. Solve a(z) = 0 for z.
-1, 0, 2/5, 1
Let h be (-12)/(-3) + (14 - 16). Let p = 467/132 + 23/12. Factor -36/11 - 10/11*w**3 - 13/11*w**h - 1/11*w**4 + p*w.
-(w - 1)**2*(w + 6)**2/11
Let g(o) be the second derivative of 2*o**6/135 - o**5/45 - 10*o**4/9 - 152*o**3/27 - 112*o**2/9 - 579*o + 2. Factor g(w).
4*(w - 7)*(w + 2)**3/9
Suppose 12*i + 1355 - 1391 = 0. Let z(a) be the third derivative of -1/5*a**5 - 37*a**2 + 1/3*a**4 + 0*a + 0*a**i + 0 - 1/6*a**6. Find f such that z(f) = 0.
-1, 0, 2/5
Let c(k) be the third derivative of 0*k + 0*k**4 - 1/20*k**5 + 2*k**3 + 0 - 33*k**2. Factor c(f).
-3*(f - 2)*(f + 2)
Let o(h) be the third derivative of h**8/3360 + h**7/630 - 7*h**4/24 - h**3/2 - 57*h**2. Let x(j) be the second derivative of o(j). Solve x(t) = 0 for t.
-2, 0
Suppose r - 19 = 3*p, r = 5*p + 30 + 5. Let l be 6/p*(-5 + 1). Factor -132*x**2 - 38*x**3 - 104*x - 121*x + 65*x - 2*x**l - 4*x**4 - 64.
-4*(x + 1)**2*(x + 4)**2
Factor 2/15*u**5 + 0*u + 40/3*u**4 - 430/3*u**3 + 1100/3*u**2 + 0.
2*u**2*(u - 5)**2*(u + 110)/15
Let t(x) be the second derivative of x**8/560 + 26*x**7/315 + 17*x**6/180 - 19*x**4/4 + 49*x. Let h(u) be the third derivative of t(u). Factor h(w).
4*w*(w + 17)*(3*w + 1)
Let l = 15/4 + -149/44. Let y be (99/(-3267))/(1/(-6)). Factor -y - 2/11*x**2 + l*x.
-2*(x - 1)**2/11
Let a be 2*9/(-1035)*-7. Let l = 9/115 + a. Suppose 1/5*f**3 - 1/5*f - l*f**4 + 0 + 1/5*f**2 = 0. What is f?
-1, 0, 1
Suppose -1/5*f**2 - 10*f - 96/5 = 0. Calculate f.
-48, -2
Let r be ((30/(-66))/(-5))/(55/5 - 5). Let l(k) be the second derivative of -1/33*k**3 + 0 - r*k**4 + 2/11*k**2 - 18*k. Factor l(d).
-2*(d - 1)*(d + 2)/11
Let o(s) be the second derivative of s**7/504 + s**6/12 + 3*s**5/2 + 15*s**4 + 10*s**3 + 46*s - 2. Let z(i) be the second derivative of o(i). Factor z(j).
5*(j + 6)**3/3
Factor 4/3 + 79/3*z - 20/3*z**2.
-(z - 4)*(20*z + 1)/3
Let c(m) be the third derivative of 8 + 1/60*m**6 + 0*m - 1/3*m**4 + 0*m**5 - m**2 + 0*m**3. Factor c(p).
2*p*(p - 2)*(p + 2)
Let b be 6 - 519*(-6 + 3138/522). Let j = 107/261 + b. Factor 2/9*y**4 - j*y**2 + 0 + 0*y + 2/9*y**3.
2*y**2*(y - 1)*(y + 2)/9
Let l(f) = 5*f**2 - 33*f - 294. Let j(g) = 29*g**2 - 196*g - 1767. Let v(w) = -4*j(w) + 23*l(w). Solve v(r) = 0 for r.
-9, 34
Determine t, given that -76*t**2 - t**4 + 918600 - 108*t - 918600 + 24*t**2 + 55*t**3 = 0.
-1, 0, 2, 54
Let d(p) = p**2 + 18*p + 76. Let h be d(-7). Let g be h - 76/(-68) - 18/(-136). Let 3/4*i + 1/4*i**3 + g + 3/4*i**2 = 0. What is i?
-1
Let p(v) = 8*v**3 - 200*v**2 + 1817*v - 2727. Let c(l) = 3*l**3 - 100*l**2 + 907*l - 1362. Let d(m) = 9*c(m) - 4*p(m). Factor d(n).
-5*(n - 5)*(n - 2)*(n + 27)
Factor -50*l + 120 - 10896*l**2 + 21785*l**2 - 10884*l**2.
5*(l - 6)*(l - 4)
Let d = 265452 + -265448. Find x such that -2/11*x**5 + 2/11*x**3 + 0 + 6/11*x**d + 0*x - 6/11*x**2 = 0.
-1, 0, 1, 3
Suppose -48433*m - 15115*m + 13680 + 20*m**2 + 16*m**2 + 440 = 0. Calculate m.
2/9, 1765
Solve 0*w + 0 - 248/7*w**3 + 2/7*w**4 - 250/7*w**2 = 0 for w.
-1, 0, 125
Let i(n) = 2*n**2 + n - 28. Let k be i(-7). Factor 12*w + 4*w**3 - 24 + 6 - 45*w**2 - 13*w**3 - k*w + 3*w**4.
3*(w - 6)*(w + 1)**3
Determine j so that -822/5*j**2 - 3336/5 - 3/5*j**3 + 3324/5*j = 0.
-278, 2
Let n = 3221/4300 - -1/1075. Let p(h) be the first derivative of -1/8*h**3 + n*h**2 + 15/8*h + 8. Factor p(r).
-3*(r - 5)*(r + 1)/8
Let i(h) be the third derivative of -41*h**2 - 17/108*h**4 + 1/10*h**5 - 1/135*h**6 + 0*h + 1 - 2/9*h**3. Solve i(v) = 0 for v.
-1/4, 1, 6
Let v(k) = k**2 + k. Let m(s) = 34 - 58*s**2 - 5*s**2 - 10*s - 10 - 27*s**2. Let u(h) = m(h) - 10*v(h). Factor u(j).
-4*(5*j - 2)*(5*j + 3)
Suppose -9*w + 5*u + 6 = 3*u, -3*u = -2*w + 9. Let z(y) be the second derivative of -y**3 - 1/2*y**4 - 17*y - y**2 - 1/10*y**5 + w. Factor z(g).
-2*(g + 1)**3
Let s = 26/33 + -5/11. Let a = -684311/12 + 57026. Factor 0*o + s - a*o**2.
-(o - 2)*(o + 2)/12
Let l(q) = q**3 - 20*q**2 - 2*q + 40. Let t be l(20). Factor 18599*j**2 - 18589*j**2 + t*j + 20*j**4 - 35*j**3 + 5*j.
5*j*(j - 1)**2*(4*j + 1)
Let j = 46871/40 - 5857/5. Factor -57/4*s**4 + 894*s**2 + 2046*s + 87*s**3 + j*s**5 + 1452.
3*(s - 22)**2*(s + 2)**3/8
Let p(y) be the first derivative of -26/9*y**3 + 43 + 0*y**2 - 1/18*y**6 + 17/4*y**4 - 8/5*y**5 + 0*y. Factor p(n).
-n**2*(n - 1)**2*(n + 26)/3
Let j(r) be the third derivative of -r**6/30 + 8*r**5/3 - 437*r**4/6 + 1444*r**3/3 - 2172*r**2. Factor j(o).
-4*(o - 19)**2*(o - 2)
Determine k so that 45*k**2 + 0*k - 1/4*k**5 - 131/4*k**3 + 0 - 12*k**4 = 0.
-45, -4, 0, 1
Let u(l) be the second derivative of -l**5/10 - 5*l**4/2 - 50*l**3/3 - 1956*l. Solve u(i) = 0.
-10, -5, 0
Let l(j) = -j**3 - 15*j**2 - 19*j - 13. Let k = -4 - 10. Let m be l(k). Determine f, given that m*f**3 + 9*f**2 - 54*f**3 - f + f = 0.
-3, 0
Let g be (21/(-12))/(36575/(-11400)). Factor 12/11*k + g*k**2 - 18/11.
6*(k - 1)*(k + 3)/11
Let g(b) = 2*b**3 + 20974*b**2 + 73290146*b + 85383024748. Let l(m) = -2*m**2 + 2*m + 1. Let t(c) = 2*g(c) + 4*l(c). Factor t(i).
4*(i + 3495)**3
Let m = 2874 + -2870. Let o(i) be the second derivative of 0 - 1/84*i**m + 9*i + 0*i**2 + 2/21*i**3. Factor o(p).
-p*(p - 4)/7
Let p(f) be the third derivative of 0*f - 71/132*f**4 + 23/330*f**5 + 2*f**2 - 16 + 2/11*f**3. Factor p(b).
2*(b - 3)*(23*b - 2)/11
Let q be ((-24)/21)/(196/(-686)). Let 0 + 29/7*o**q - 78/7*o**3 - 3/7*o**5 + 0*o + 40/7*o**2 = 0. Calculate o.
0, 2/3, 4, 5
Let s(w) = 2*w**2 - 2*w + 22. Let l(x) = -5*x**2 + 808*x - 869. Let k(y) = l(y) + 3*s(y). Factor k(r).
(r - 1)*(r + 803)
Let g be 1 - 5 - (-56 + 50). Determine x, given that 7*x + x**g + 5*x + x**2 + 8 - 4*x = 0.
-2
Let 