, -1, -2/5, 1, 2
Let x = -234 - -83. Let i = 511 + x. Solve 123 - i*f**2 - 19*f**3 - 64*f**3 - 270*f + 12 - 47*f**3 - 15*f**4 = 0 for f.
-3, 1/3
Suppose -20 = 5*g - 210. Let s = -28 + g. Find z, given that 15*z**3 - 275*z + 280*z - 5*z**4 - 5*z**2 - s*z**2 = 0.
0, 1
Factor 9/4*s**4 + 3/8*s**5 + 3*s**2 + 0 + 9/2*s**3 + 0*s.
3*s**2*(s + 2)**3/8
Let s(f) = 19*f**2 - 3*f + 27. Let v be s(5). Let r = v - 487. Factor 9/4*l**4 - 3/2*l**5 + 0 + r*l**3 - 3/4*l**2 + 0*l.
-3*l**2*(l - 1)**2*(2*l + 1)/4
Let j = -1998 + 2003. Suppose 0 = -3*b + 8*b + 5*u + j, -4*b + 3*u = -17. Factor -20*a - 17/4*a**b - 1/4*a**3 - 16.
-(a + 1)*(a + 8)**2/4
Let y be 55*(-540)/(-48114)*27. Factor 16*d**2 + 17/3 + 14/3*d**3 - 1/3*d**4 + y*d.
-(d - 17)*(d + 1)**3/3
Determine t, given that -1062/17*t**2 + 141510/17*t - 140450/17 + 2/17*t**3 = 0.
1, 265
Let n = 4122 + -32733/8. Factor -3/8*q**2 + 27/4*q - n.
-3*(q - 9)**2/8
Let s = -42 + 45. Let d = -31 + 33. Factor 3*c**4 - s*c**4 + 3*c**4 - 10*c**2 - 9*c**3 + 16*c**d.
3*c**2*(c - 2)*(c - 1)
Let x = 113917/12 + -9493. Let d(t) be the third derivative of 0 + 0*t + 0*t**3 - 1/60*t**6 + 0*t**5 + t**2 + x*t**4. Determine i so that d(i) = 0.
-1, 0, 1
Let m(h) be the first derivative of h**4/4 + 113*h**3/3 + 7*h**2/2 - 105*h + 8. Let q(l) = 75*l**2 + 5*l - 70. Let f(r) = 5*m(r) - 8*q(r). Factor f(o).
5*(o - 7)*(o - 1)*(o + 1)
Let u(q) = 19*q - 12. Let h be u(2). Suppose -h = -n - 22. Solve -10 - 4*w**2 + 25*w**3 - n*w - w**2 + 2*w + 15*w**4 - 23*w = 0.
-1, -2/3, 1
Suppose 0 = 7*q - 109 - 31. Find i such that 24*i**2 + i**4 - 6*i**4 + i**4 - q*i**2 + 36*i - 36*i**3 = 0.
-9, -1, 0, 1
Let r = 84355 - 165545/2. Let c = 1620 - r. Suppose -15*p + c + 3/2*p**2 = 0. Calculate p.
5
Let 2/11*o**3 + 1020/11*o**2 + 0 + 130050/11*o = 0. Calculate o.
-255, 0
Factor 2312/3 + 136/3*v + 2/3*v**2.
2*(v + 34)**2/3
Let c(p) be the second derivative of -p**4/12 + 5*p**3/6 - 2*p**2 - 10*p. Let q be c(3). Factor 4*d**3 - 10*d**3 - d**4 + 15*d**3 + 16*d - 24*d**q.
-d*(d - 4)**2*(d - 1)
Suppose 12 = -3*c + 57. Suppose 12*k + 255 = c*k. Factor -38*j**2 - 16 - 43*j**2 + k*j**2.
4*(j - 2)*(j + 2)
Let f(m) be the second derivative of 0*m**2 + 7/120*m**6 + 1 - 11/6*m**4 - 58*m + 5/6*m**3 + 61/80*m**5. Solve f(r) = 0.
-10, 0, 2/7, 1
Let q = 118788 + -118786. Find a, given that 35/2*a + 25 + 5/2*a**q = 0.
-5, -2
Factor -33*u**3 - 5*u**4 - 20*u**3 - 220*u + 83*u**3 - 145*u**2 + 40*u**3.
-5*u*(u - 11)*(u - 4)*(u + 1)
Factor -43808/19 - 2/19*q**2 - 592/19*q.
-2*(q + 148)**2/19
Let u be (-196)/(-49)*(-10)/(-4). Suppose 2 + u = 4*g. Factor -3/7*d**2 + 3/7*d**4 - 3/7*d + 3/7*d**g + 0.
3*d*(d - 1)*(d + 1)**2/7
Let p be (((-7285)/987)/(-155))/(3/231). Factor 0 - p*z**3 + 49*z - 1/3*z**4 - 7/3*z**2.
-z*(z - 3)*(z + 7)**2/3
Let c(p) be the second derivative of 0*p**2 + 0*p**3 + 145*p + 0 + 1/110*p**5 + 1/33*p**4. Let c(w) = 0. Calculate w.
-2, 0
Let f(z) be the first derivative of -z**3/3 + z**2 - 225. Let p be f(2). Factor 2/7*o**2 + 6/7*o**4 - 6/7*o**3 - 2/7*o**5 + p + 0*o.
-2*o**2*(o - 1)**3/7
Let u(b) be the third derivative of 0*b + 1/160*b**6 + 166*b**2 + 0 + 1/96*b**4 - 1/80*b**5 - 1/840*b**7 + 0*b**3. What is l in u(l) = 0?
0, 1
Suppose 0 = -8*p + 9 + 23. Suppose -12*v - p*v**3 - 1309*v**2 + 642*v**2 + 651*v**2 = 0. What is v?
-3, -1, 0
Factor -90*p - 16*p**3 + 55*p**2 + 38*p**3 - 27*p**3.
-5*p*(p - 9)*(p - 2)
Solve -10*c**3 - 1474*c**2 + c**5 + 844*c**2 + 638*c**2 - 8*c**4 + 9*c = 0.
-1, 0, 1, 9
Suppose 5*w + 3*z + 15 = 0, -w + 9*z + 45 = -2*w. Let t(o) be the first derivative of w*o + 5/4*o**4 - 44 - 5/3*o**3 - 5*o**2. Factor t(l).
5*l*(l - 2)*(l + 1)
Suppose 15*c - 27*c + 11700 = 0. Let b = -4866/5 + c. Factor 1/5*v**3 - 6/5*v**2 + 0 + b*v.
v*(v - 3)**2/5
Let o(l) be the first derivative of l**4/20 - 2*l**3/5 - 247*l**2/10 - 1595. Factor o(x).
x*(x - 19)*(x + 13)/5
Solve 0*v + 3*v**3 + 9/2*v**5 + 0 + 15/2*v**4 + 0*v**2 = 0.
-1, -2/3, 0
Solve 233/2*l**3 + 632*l**2 - 7/2*l**4 + 0 - 190*l = 0.
-5, 0, 2/7, 38
Let t(f) be the third derivative of f**8/42 - 68*f**7/105 - 227*f**6/60 - 127*f**5/15 - 119*f**4/12 - 20*f**3/3 - f**2 + 755. What is k in t(k) = 0?
-1, -1/2, 20
Let r = -5805 - -5805. Factor -1/2*h**4 + r*h - 2*h**2 + 0 + 2*h**3.
-h**2*(h - 2)**2/2
Let b = 3972/11 + -24635/66. Let s = b + 529/42. Determine k so that 2/7 - 9/7*k + 10/7*k**2 - s*k**3 = 0.
1/3, 1, 2
Determine r so that 940*r - 10*r**2 + 686 + 5*r**2 + 561 + 653 = 0.
-2, 190
Determine u so that -975 - 1517*u + 3*u**2 + 401*u + 303*u - 159*u = 0.
-1, 325
Let r be ((-308)/(-539))/((-40)/(-150)). Suppose -18/7*x + r + 3/7*x**2 = 0. What is x?
1, 5
Let h(u) = -3*u**2 + 296*u + 134. Let j(y) = -4*y**2 + 296*y + 132. Let q(v) = 6*h(v) - 7*j(v). Determine b, given that q(b) = 0.
-2/5, 30
Let r = -378 + 382. Solve -4*h - 9*h**3 - r*h + 24*h**2 + 0*h**2 - 6*h**4 + 3*h**5 - 4*h = 0.
-2, 0, 1, 2
Suppose -67*k + 8*k - 15*k = 5*k. Let u(f) be the third derivative of 0*f**3 + 0*f - 1/40*f**5 + k + 0*f**4 - 1/280*f**7 + 3/160*f**6 - 19*f**2. Factor u(s).
-3*s**2*(s - 2)*(s - 1)/4
Let t(m) be the third derivative of -m**6/720 - 49*m**5/360 + 107*m**4/48 - 55*m**3/4 + 14*m**2 + 16*m + 8. Suppose t(n) = 0. Calculate n.
-55, 3
Solve -3/5*r**2 + 1002/5*r + 201 = 0 for r.
-1, 335
Let s(g) be the first derivative of -2/21*g**3 - 9/7*g**2 + 0*g + 61. Solve s(q) = 0.
-9, 0
Let i be (-8 + 12)*35/(-28). Let j be ((-140)/(-18))/i*(-48)/56. Suppose -2/9*a**2 - j*a**3 + 2/9*a**4 + 0 + 4/3*a = 0. Calculate a.
-1, 0, 1, 6
Let y(n) = -n**3 - 20*n**2 - 59*n + 4. Let m be y(-18). Factor m*w + 1234*w - 273 - 3*w**4 - 644*w - 759*w**2 + 828*w - 102*w**3 - 699.
-3*(w - 1)**2*(w + 18)**2
Let r(n) be the first derivative of 2*n**3/15 + 688*n**2/5 + 236672*n/5 - 1995. Determine d, given that r(d) = 0.
-344
Let l(w) be the third derivative of -w**6/240 + 137*w**5/60 + w**4/48 - 137*w**3/6 + 1173*w**2. Determine a so that l(a) = 0.
-1, 1, 274
Suppose 2*u - 34*z + 35*z = 1349, 2*z = 6. Let k = u + -671. Suppose -2/3*c**4 - 2/3*c + 0 + 2/3*c**k + 2/3*c**3 = 0. What is c?
-1, 0, 1
Let z(b) be the third derivative of b**7/1155 + b**6/55 + 8*b**5/165 - 4*b**4/11 - 80*b**3/33 - 3*b**2 - 145*b. Solve z(w) = 0.
-10, -2, 2
Let g(w) be the third derivative of 11*w**6/12 - 9*w**5/4 - 85*w**4/12 - 4218*w**2. Let g(r) = 0. What is r?
-17/22, 0, 2
Let n(u) be the first derivative of 35 + 1/3*u**2 + 0*u + 0*u**3 - 1/6*u**4. Suppose n(c) = 0. Calculate c.
-1, 0, 1
Let s(x) = -x**2 + 7*x + 30. Let d be s(9). Suppose -d = -4*a + 24. Factor -81*n - 100*n**2 + 20*n - a + n.
-(10*n + 3)**2
Let k = -33/953 - -4864/2859. Let l(d) be the second derivative of 0 + 1/24*d**4 - 23*d + k*d**3 + 25*d**2. Find t, given that l(t) = 0.
-10
Let j(c) be the first derivative of -c**5/240 + c**4/8 + 7*c**3/6 + 3*c**2/2 + 14*c + 227. Let g(z) be the second derivative of j(z). Factor g(b).
-(b - 14)*(b + 2)/4
Suppose 0 = -161*r + 2*r - 7 + 325. Let m(o) be the second derivative of -40/3*o**3 - 7/5*o**5 + 0 + 17*o - 23/3*o**4 - 8*o**r. Let m(n) = 0. What is n?
-2, -1, -2/7
Let m(f) = -20*f**2 + 48772*f + 98901860. Let k(h) = -9*h**2 + 24384*h + 49450920. Let s(p) = -13*k(p) + 6*m(p). Solve s(w) = 0 for w.
-4060
Let y(a) be the first derivative of a**6/30 + 3*a**5/100 - a**4/30 - 34*a + 33. Let i(u) be the first derivative of y(u). Find s such that i(s) = 0.
-1, 0, 2/5
Factor 10 - 16*b + 30 + 88 - 4*b**2 + 0*b**2.
-4*(b - 4)*(b + 8)
Let u = -621 - -626. Let t(o) be the first derivative of 0*o**2 + 5/12*o**4 + 0*o + u + 2/9*o**3. Factor t(y).
y**2*(5*y + 2)/3
Let t(m) be the third derivative of -7/60*m**4 + 1/600*m**6 - 329*m**2 + 0*m + 0 + 0*m**3 + 1/60*m**5. Factor t(o).
o*(o - 2)*(o + 7)/5
Let y(c) = 5*c**2 + 25*c - 5. Let v(h) = h**3 + 5*h**2 + 24*h - 6. Suppose -19 + 25 = q. Let b(o) = q*y(o) - 5*v(o). Factor b(x).
-5*x*(x - 3)*(x + 2)
Factor -k**2 - 116900 - 88448 - 111621 + 281*k + 845*k.
-(k - 563)**2
Let z(k) = 7*k**3 + 180*k**2 + 7725*k - 33889. Let g(j) = -9*j**3 - 180*j**2 - 7724*j + 33900. Let m(y) = 3*g(y) + 4*z(y). Factor m(d).
(d - 4)*(d + 92)**2
Let a be 0 + (-10 - -14)*(-3)/(-30). Let g(j) be the first derivative of -3/20*j**4 + a*j**3 + 0*j + 14 - 3/10*j**2. Determine d so that g(d) = 0.
0, 1
Suppose 0 = -5*a - 5*f - 52 + 32, 5*f + 47 = 4*a. Factor -18/11*l*