, -1/3, 201
Let g(r) = -r**2 + 17*r - 13. Let i be g(16). Suppose -2 = w + c - i, c = -4*w + 13. Factor -w - 54/5*f - 6/5*f**3 - 8*f**2.
-2*(f + 1)*(f + 5)*(3*f + 2)/5
Suppose -2*c + h = -2*h - 20, -2*h = -5*c + 50. Suppose c*r + 12*r - 16*r = 0. Suppose 2/13*j**4 + r + 8/13*j**3 + 10/13*j**2 + 4/13*j = 0. Calculate j.
-2, -1, 0
Let x = 3091/3172 + -178/793. Find n such that -n + x*n**2 + 1/4*n**4 - 1 + n**3 = 0.
-2, -1, 1
Let m be -12 - (-7 - 1430/259). Let t = 51/37 - m. Find f, given that t - 3/7*f**4 - 3/7*f**2 + 9/7*f - 9/7*f**3 = 0.
-2, -1, 1
Let p(x) be the first derivative of -3*x**4 - 3/5*x**5 + 10*x**3 - 292 + 45*x + 42*x**2. Determine h, given that p(h) = 0.
-5, -1, 3
Let s(u) = 4*u**4 - 284*u**3 - 3330*u**2 - 9590*u + 10. Let i(b) = b**4 - 94*b**3 - 1111*b**2 - 3197*b + 3. Let v(x) = -10*i(x) + 3*s(x). Factor v(g).
2*g*(g + 4)*(g + 20)**2
Suppose -6*r + 27 = -17*t + 14*t, 0 = r - 2*t - 9. Factor -688/3*x**4 + 2092/3*x**r - 1321/3*x**2 + 310/3*x - 25/3 + 64/3*x**5.
(x - 5)**2*(4*x - 1)**3/3
Let h(b) = -19*b**2 - 1819*b + 258. Let t(r) = -10*r**2 - 912*r + 134. Let l(y) = -2*h(y) + 5*t(y). Factor l(v).
-2*(v + 77)*(6*v - 1)
Let n = -1783 - -12510/7. Let c = -51/14 + n. Suppose -3/2*k - 6*k**3 + 0 + 5*k**2 - c*k**5 + 3*k**4 = 0. Calculate k.
0, 1, 3
Let a be (-12)/18*(-786)/60. Let f = a - 25/3. Factor -2/15*j**2 - 2/3*j - f + 2/15*j**3.
2*(j - 3)*(j + 1)**2/15
Let h(v) = v**3 + 15*v**2 + 4*v + 62. Suppose -345 = -9*u + 32*u. Let n be h(u). What is o in -36/5*o + 192/5*o**n - 4/5*o**5 + 53/5*o**4 - 41*o**3 + 0 = 0?
0, 1/4, 1, 6
Factor 10*x**2 + 6/5*x**3 + 59/5*x - 7/5*x**4 - 1/5*x**5 + 21/5.
-(x - 3)*(x + 1)**3*(x + 7)/5
Factor 323*g**3 + 10110 - 42702 + 228132*g - 350805*g**2 - 153360*g**2 + 104997*g**2 - 470*g**3.
-3*(g + 2716)*(7*g - 2)**2
Suppose -47*y + 577*y + 353*y - 1870 = -52*y. Factor 0 - 2/11*n**5 + 0*n**3 - 6/11*n**4 + 0*n + 8/11*n**y.
-2*n**2*(n - 1)*(n + 2)**2/11
Let m(k) = -4*k**3 - k**2 - 16*k - 15. Let s be m(-1). Let c(t) be the first derivative of 6 - 40/3*t**3 - 11/2*t**s + 4*t - 7*t**2. Let c(f) = 0. Calculate f.
-1, 2/11
Let i(t) be the second derivative of t**5/150 + t**4/30 + t**3/15 - 49*t**2 - t + 38. Let p(s) be the first derivative of i(s). Solve p(a) = 0.
-1
Let i = -1587/32 - -397/8. Let h(l) be the second derivative of i*l**4 + 1/48*l**3 + 11*l + 0 - 1/240*l**6 - 1/160*l**5 - 1/8*l**2. Solve h(z) = 0 for z.
-2, -1, 1
Let j(i) be the third derivative of i**7/105 - 19*i**6/60 + 31*i**5/30 + 17*i**4/4 - 2*i**2 + 43*i - 1. Factor j(x).
2*x*(x - 17)*(x - 3)*(x + 1)
Let g(k) be the third derivative of 4/15*k**4 - 4/75*k**5 + k**2 + 0*k - 11 + 0*k**3 + 1/300*k**6. Suppose g(v) = 0. What is v?
0, 4
Let z = -34548784 - -182555781263/5284. Let t = z - 1/2642. Factor -1/4*d**4 - t*d**2 + 7/4*d**3 - 7/4*d + 3/2.
-(d - 6)*(d - 1)**2*(d + 1)/4
Solve 22*k**2 - 529 - 1/2*k**3 - 437/2*k = 0 for k.
-2, 23
Let y(k) be the second derivative of k**5/5 - 14*k**3/3 + 12*k**2 - 2027*k. Factor y(f).
4*(f - 2)*(f - 1)*(f + 3)
Let o(z) be the third derivative of z**7/8820 + z**6/1260 - z**4/12 + 7*z**3/6 - 44*z**2. Let m(f) be the second derivative of o(f). Factor m(y).
2*y*(y + 2)/7
Let n(d) = 34 - 11 + 41 + 15*d. Let z be n(-4). Suppose 1/5*b**3 - 2/5*b**2 + 0*b + 1/5*b**z + 0 = 0. Calculate b.
-2, 0, 1
Let z(g) = -6*g**2 - 13404*g - 11035686. Let u(n) = n**2 + 58*n + 1. Let r(q) = -2*u(q) - z(q). Solve r(a) = 0.
-1661
Let a = -175 + 179. Let g(v) = v + 12. Let f be g(-8). Suppose 10*p**3 - f*p**4 - 3*p**a + 5*p**2 + 12*p**4 = 0. Calculate p.
-1, 0
Let q(w) be the second derivative of -52*w + 3/5*w**2 + 0 + 1/10*w**3 - 1/20*w**4. Solve q(x) = 0.
-1, 2
Factor -56169/5*j - 27/5*j**3 - 493039/5 - 2133/5*j**2.
-(3*j + 79)**3/5
Let i(q) be the second derivative of -q**4/66 - 538*q**3/33 - 72361*q**2/11 - 350*q + 1. Let i(s) = 0. Calculate s.
-269
Let d(s) be the third derivative of 10*s**6/3 + 14*s**5/3 + 11*s**4/6 + s**3/3 - 1529*s**2. Factor d(g).
2*(2*g + 1)*(10*g + 1)**2
Let v(y) be the first derivative of -2/55*y**5 - 81 + 0*y**3 + 2/11*y + 2/11*y**2 - 1/11*y**4. Factor v(h).
-2*(h - 1)*(h + 1)**3/11
Let j(p) = -6*p**2 + 81*p + 69. Let v be 2 + 1 + -4 + 5. Let s(u) = -3*u**2 + 40*u + 35. Let d(y) = v*j(y) - 9*s(y). Factor d(m).
3*(m - 13)*(m + 1)
Factor -46/9*d**2 + 0 - 22/9*d**3 + 70/9*d - 2/9*d**4.
-2*d*(d - 1)*(d + 5)*(d + 7)/9
Suppose 0 = -k - q - 0*q + 5, k + 3 = 3*q. Let v be (9 - 7)*k/21. Factor -v*i**2 - 16/7*i - 32/7.
-2*(i + 4)**2/7
What is s in -2/5*s**4 + 24*s + 0 - 8/5*s**2 - 22/5*s**3 = 0?
-10, -3, 0, 2
Solve -150 - 380*v - 545/2*v**3 - 10*v**4 + 1625/2*v**2 = 0 for v.
-30, -1/4, 1, 2
Let h(r) = -2*r**2 - r + 1. Let u(y) = -2*y**2 + 14*y - 1. Let s = 11 - 4. Let f be u(s). Let b(z) = z + 1. Let x(c) = f*h(c) - b(c). Find d such that x(d) = 0.
-1, 1
Let n = 705/187 + -195/187. What is j in 18/11*j + 0 + 14/11*j**3 + n*j**2 + 2/11*j**4 = 0?
-3, -1, 0
Suppose -12*q = 10*q - 5390. Let a = -241 + q. Suppose -2/7*k**5 - 8/7*k**2 - 8/7*k + 0 + 4/7*k**a + 6/7*k**3 = 0. Calculate k.
-1, 0, 2
Let r(v) = v**5 - 2*v**4 - v**3 - 2*v**2 + 4*v + 1. Let f(h) = -8*h**5 - 28*h**4 - 271*h**3 - 150*h**2 + 1307*h - 857. Let j(i) = -f(i) - 7*r(i). Factor j(c).
(c - 1)**2*(c + 5)**2*(c + 34)
Let o(w) be the first derivative of -2*w**6/3 - 392*w**5/5 + 402*w**4 - 2432*w**3/3 + 814*w**2 - 408*w + 627. Solve o(b) = 0 for b.
-102, 1
Suppose -86/7*w**3 + 2*w**5 - 34/7*w**4 + 22*w**2 - 72/7 + 120/7*w = 0. Calculate w.
-2, -1, 3/7, 2, 3
Let q be ((-4)/(-5))/((-238)/(-595)). Suppose 4*n + 0*n - 35 = -3*w, 0 = 5*w - n - 89. Factor -9*k + w*k - 15*k**q + 14*k**2.
-k*(k - 8)
Suppose -232 = 3*i - 241. Let b(a) be the second derivative of 0*a**i + 1/66*a**4 - 1/11*a**2 + 0 + 7*a. Factor b(g).
2*(g - 1)*(g + 1)/11
Let d = 422 + -420. Determine t so that 0*t**d - 68*t - 11236 - 356*t - 4*t**2 = 0.
-53
Suppose 0 = 3*i + 4*g + 4523 - 4524, 1 = i + g. Find v such that -22/13*v**i + 38/13*v**2 + 76/13*v + 32/13 + 2/13*v**5 - 14/13*v**4 = 0.
-1, 2, 8
Let f(y) = -y**2 + 5*y + 3. Let u be f(5). Let z = 46976 - 46976. Factor -2/7*o**u - 2/7*o**5 + 0*o + z*o**2 - 4/7*o**4 + 0.
-2*o**3*(o + 1)**2/7
Suppose -29140*o = -29228*o + 176. Factor 9/2*f**o - 9/2 + 12*f.
3*(f + 3)*(3*f - 1)/2
Solve 17*j + 10 - 23230*j**2 - j**3 + 23236*j**2 - 2 - 2*j = 0 for j.
-1, 8
Let s be 6/(-21) + (-1472)/(-56) + -1. Suppose 44*t = 39*t + s. Factor 8/3*w**2 - 7/3*w**3 - 1/6*w**t - 3/2*w + w**4 + 1/3.
-(w - 2)*(w - 1)**4/6
Suppose -4 = 3*r + 2*x, 393*r = 397*r - x - 24. Factor -2/13*k**r + 12/13*k**3 - 18/13*k**2 + 0*k + 0.
-2*k**2*(k - 3)**2/13
Factor -4/3*n + 2/3*n**2 + 2/3.
2*(n - 1)**2/3
Let a(k) = k**2 - 4*k - 2. Let i(o) = 16*o**2 - 796*o + 680. Let w(j) = 20*a(j) - i(j). Factor w(y).
4*(y - 1)*(y + 180)
Suppose 0 = -6*j - j - 252. Let p = j - -38. Factor -12*m - m**2 + 0*m**4 + 9*m**p + 12 - 17*m**2 + 3*m**4 + 6*m**3.
3*(m - 1)**2*(m + 2)**2
Let c(k) be the first derivative of -k**6/72 + 7*k**5/24 + k**3/3 - 20*k**2 + 52. Let u(r) be the third derivative of c(r). Find x such that u(x) = 0.
0, 7
Let r = -4/1891 - -5705/15128. Let j(v) be the first derivative of 1/20*v**5 + 7/12*v**3 - r*v**2 + 0*v - 18 - 5/16*v**4. Determine x so that j(x) = 0.
0, 1, 3
Let r(h) be the third derivative of 35*h**2 + 147/10*h**3 + 1/300*h**5 - 7/20*h**4 + 0 + 0*h. Let r(x) = 0. What is x?
21
Find z, given that -393/4*z - 48*z**2 + 3/4*z**3 - 99/2 = 0.
-1, 66
Suppose 260*l + 36 = 261*l. Let q be ((-135)/81)/((25/l)/(-5)). Let -81/2*f**3 + 57/2*f**2 + q*f**4 + 6*f**5 + 0 - 6*f = 0. Calculate f.
-4, 0, 1/2, 1
Suppose -20 = 5*x + 3*u, 2*x - 19*u = -14*u + 54. Let 94/5*p**x - 4/5*p**3 + 10*p - 48/5 = 0. Calculate p.
-1, 1/2, 24
Let y be (-318*(-5)/50)/(10/50). Let d be y/(-15)*-1 - 6 - -2. Solve -22/5*b**4 - 4*b**2 + d*b**3 + 0 + b**5 + 4/5*b = 0.
0, 2/5, 1, 2
Let z(d) be the third derivative of -d**9/2268 + d**7/210 - d**6/135 - 9*d**3 - 81*d**2. Let a(i) be the first derivative of z(i). Factor a(r).
-4*r**2*(r - 1)**2*(r + 2)/3
Let v(h) be the first derivative of 3*h**5/10 + 3*h**4 + 15*h**3/2 + 673. Determine g, given that v(g) = 0.
-5, -3, 0
Let u(z) be the second derivative of -z**9/7560 - z**8/3360 + z**7/630 + 9*z**4/4 - z**2/2 + 21*z. Let d(a) be the third derivative of u(a). Factor d(g).
