t w = 12/913 + 4493/5478. Factor -w*p + 1/3 + 1/2*p**3 - 2/3*p**2.
(p - 2)*(p + 1)*(3*p - 1)/6
Let l(w) = -2*w**5 - w**4 - 2*w**3 - 5*w**2 + 5*w. Let o(j) = 9*j**5 + 6*j**4 + 9*j**3 + 24*j**2 - 24*j. Let b(z) = -24*l(z) - 5*o(z). Factor b(d).
3*d**3*(d - 1)**2
Factor 12/5*t**2 - 21/5*t - 1/5*t**3 + 2.
-(t - 10)*(t - 1)**2/5
Let u(d) be the first derivative of 27*d**4/4 + 31*d**3 + 45*d**2 + 24*d + 63. Solve u(y) = 0 for y.
-2, -1, -4/9
Let q(n) = n + 10. Let d be q(-7). Let t = 40 - 38. Factor 5*x**2 - t*x**3 - 2*x**3 + 0*x**d + x**4 - 2*x.
x*(x - 2)*(x - 1)**2
Suppose -13*o + o = -48. Suppose -m + 3*s = o, -5*s + 10 = -0. Factor 0*d + 8/9 - 2/9*d**m.
-2*(d - 2)*(d + 2)/9
Let w(z) = 7*z + 54. Let l be w(-7). Let u(i) be the second derivative of 0 - 6*i**3 + 23/3*i**4 + 2*i**2 + 5*i - 3*i**l. Factor u(p).
-4*(p - 1)*(3*p - 1)*(5*p - 1)
Let -384/5*y + 2/5*y**2 + 18432/5 = 0. Calculate y.
96
Let t(u) be the second derivative of -17*u + 3/8*u**2 + 1/40*u**6 + 0*u**5 + 0 - 1/8*u**4 + 0*u**3. Factor t(q).
3*(q - 1)**2*(q + 1)**2/4
Find r, given that 10*r + 837335 + 65*r**2 - 837335 = 0.
-2/13, 0
Suppose 58/9*z**2 + 272/9*z - 2/9*z**4 - 58/9*z**3 + 160/9 + 2/9*z**5 = 0. Calculate z.
-5, -1, 4
Let l(n) = -2*n - 1. Let q be l(-5). Let d(f) = -f**2 - 3*f + 2. Let t be d(-3). Determine c so that 5*c**2 - 2 - q*c**2 + 14*c**3 - 6*c**4 + t = 0.
0, 1/3, 2
Suppose n - 5 = c, -1 = 5*n + 5*c + 24. Let y = 2/7 - 1/28. Factor y*s**2 + n*s + 0.
s**2/4
Let j(i) be the first derivative of 0*i**2 + 1/2*i**4 + 0*i - 2*i**3 - 21. Factor j(p).
2*p**2*(p - 3)
Suppose 3*d = t - 9, -4*t + 3 = 3*d - 4*d. Suppose 2*y - 6 - 24 = t. Suppose y - 68*w**4 + 24*w - 24*w**3 + 58*w**4 - 7 + 2*w**2 = 0. What is w?
-2, -1, -2/5, 1
Let m = 2240 - 2236. Suppose 0*b**3 + 2 - 16/3*b - 2/3*b**m + 4*b**2 = 0. Calculate b.
-3, 1
Let 175*y + 34*y + 11*y + 4*y**2 + 233 - 17 = 0. What is y?
-54, -1
Let u(t) = -1283*t**2 + 480*t - 42. Let q(b) = 15395*b**2 - 5760*b + 505. Let s(m) = 3*q(m) + 35*u(m). Suppose s(r) = 0. What is r?
3/16
Let s(j) be the first derivative of -36/7*j - 23 + 3*j**2 - 1/21*j**6 + 16/35*j**5 + 20/21*j**3 - 10/7*j**4. Solve s(t) = 0 for t.
-1, 1, 2, 3
Let p(j) = 24*j**4 + 136*j**3 + 344*j**2 + 432*j + 214. Let a(d) = d**5 + d**4 - d**3 - d**2 + 1. Let u(z) = 2*a(z) + p(z). Determine r so that u(r) = 0.
-3, -2
Suppose 256/9*d**3 + 4/9*d**4 + 5120/3*d + 1600 + 4576/9*d**2 = 0. Calculate d.
-30, -2
Let i be -4*(-4)/16*3. Factor 69*z**3 + 1 + 6*z - 73*z**i + 7 - 2*z - 8*z**2.
-4*(z - 1)*(z + 1)*(z + 2)
Let g be ((-38)/42 + 1)/((-115)/276). Let l = -18/385 - g. Suppose -l*c**4 + 0*c**3 + 0 - 2/11*c**5 + 0*c + 0*c**2 = 0. What is c?
-1, 0
Let v = 17 - -36. Solve 4*x**2 - 61*x + 16 - 3*x**2 + v*x = 0.
4
Suppose 2*z**2 + 408 + 64*z - 336 - 208 = 0. What is z?
-34, 2
Let p(b) = -3*b + 12. Let w be p(4). Suppose w = -26*c + 8 + 70. Factor -10/3*z + 2 + 2/3*z**2 + 2/3*z**c.
2*(z - 1)**2*(z + 3)/3
Solve -4*h**2 - 15*h - 7*h**4 + 11*h**3 - 3*h**4 + 14*h**3 + 24*h**2 = 0 for h.
-1, 0, 1/2, 3
Let u(t) be the second derivative of t**6/120 - 7*t**5/80 + 5*t**4/16 - 13*t**3/24 + t**2/2 - 85*t. Factor u(h).
(h - 4)*(h - 1)**3/4
Let c(g) be the third derivative of g**7/1470 + g**6/35 + 11*g**5/28 + 121*g**4/84 - 43*g**2. Suppose c(h) = 0. What is h?
-11, -2, 0
Determine a, given that -24/5 - 2/5*a**2 + 14/5*a = 0.
3, 4
Let r be (-26)/(-10) - (-2)/5. Let p be (-478)/(-287) + (-30)/(-615). Factor p*z**r + 6/7*z + 0 + 15/7*z**2 + 3/7*z**4.
3*z*(z + 1)**2*(z + 2)/7
Let -2*z**3 + 16/3*z + 2/9*z**5 + 8 + 2/3*z**4 - 46/9*z**2 = 0. Calculate z.
-3, -1, 2
Factor -10*u**2 + 10*u**3 - 642*u**5 + 0*u**3 - 5*u + 4 - 640*u**5 + 1277*u**5 + 1 + 5*u**4.
-5*(u - 1)**3*(u + 1)**2
Suppose 130 - 466 = -4*j. Suppose -5*g + 7 = -w, 0*g + 2*w = 4*g - 2. Factor 211*z**3 - 254*z**3 - 89*z**2 - 205*z**g - 8 - 300*z**3 - j*z.
-(7*z + 2)**3
Let y(o) = -2*o**4 + o**3 - o + 1. Let z(r) = -4*r**4 - 41*r**3 + 38*r**2 + 81*r + 3. Let k(j) = 6*y(j) - 2*z(j). Determine a, given that k(a) = 0.
-1, 0, 2, 21
Factor 12*c**2 - 90133*c**5 + 12*c**4 + 0*c**3 + 22*c**3 + 90135*c**5.
2*c**2*(c + 1)*(c + 2)*(c + 3)
Let b(a) be the first derivative of 0*a**3 - 2 + 0*a + 1/36*a**4 + 2/45*a**5 + 5/2*a**2. Let r(l) be the second derivative of b(l). Find y such that r(y) = 0.
-1/4, 0
Let k(h) be the third derivative of -h**7/315 + 7*h**6/90 + h**5/6 - 88*h**2. Suppose k(f) = 0. Calculate f.
-1, 0, 15
Let l(p) be the third derivative of 7/180*p**5 + 0 - 1/36*p**4 + 0*p**3 + 0*p - 35*p**2. Factor l(a).
a*(7*a - 2)/3
Let w(d) be the second derivative of -d**7/42 - d**6/24 + d**5/12 + 5*d**4/24 + 8*d**2 - 15*d. Let q(g) be the first derivative of w(g). Factor q(u).
-5*u*(u - 1)*(u + 1)**2
Let c(d) be the first derivative of -3*d**5/20 - 45*d**4/8 - 225*d**3/4 - 86. Factor c(s).
-3*s**2*(s + 15)**2/4
Suppose 0 = 2*l + 5*j - 9 + 21, 0 = 4*l - 5*j - 36. Suppose 5*c + 20 = 0, -s + 6*c - l*c = -10. Factor -27*r**s + 35 + 9*r**4 - 5*r + 3*r**3 + 14*r - 29.
3*(r - 1)**2*(r + 2)*(3*r + 1)
Let w(t) be the second derivative of t**4/30 + t**3/15 - 6*t**2/5 - 23*t. Factor w(m).
2*(m - 2)*(m + 3)/5
Suppose 51*i - 765 = -34*i. Factor -i*h + 27/2 + 3/2*h**2.
3*(h - 3)**2/2
Let l(g) be the first derivative of -g**3 + 3*g**2 - 3*g + 128. Factor l(n).
-3*(n - 1)**2
Let u(x) be the third derivative of 1/35*x**7 + 0 - 3/20*x**5 + 1/2*x**3 + 7/16*x**4 + 0*x + 8*x**2 - 7/80*x**6. Find r such that u(r) = 0.
-1, -1/4, 1, 2
Suppose -3*a - 2*a + 4*h = -50, -5*a = 5*h - 50. Factor -12*p + 32*p**2 - 20*p**3 + a - 1 - 9.
-4*p*(p - 1)*(5*p - 3)
Let m(k) = k**2 - k + 1. Let d(t) = 16*t**2 - 52*t + 19. Let l(q) = -d(q) + m(q). Factor l(j).
-3*(j - 3)*(5*j - 2)
Let h(y) be the second derivative of -2*y**6/45 + 5*y**5/9 - 56*y**4/27 + 32*y**3/27 + 2*y + 61. Solve h(z) = 0 for z.
0, 1/3, 4
Let i(p) be the first derivative of -1/5*p**5 - 5/4*p**4 - 6*p + 5/2*p**2 + 21 + 7/3*p**3. Factor i(f).
-(f - 1)**2*(f + 1)*(f + 6)
Let a(w) be the first derivative of 0*w - 11 - 1/3*w**3 - 1/4*w**4 - 1/6*w**2 - 1/15*w**5. Determine j, given that a(j) = 0.
-1, 0
Suppose -k + 316 = 3*l - 530, 0 = -4*l - 3*k + 1128. What is v in l*v + 3*v**2 + 3*v**2 - 5*v**3 - 272*v - v**2 = 0?
-1, 0, 2
Determine k so that 24/5*k + 22/5 + 2/5*k**2 = 0.
-11, -1
Factor -58/17*g - 24/17*g**2 - 36/17 - 2/17*g**3.
-2*(g + 1)*(g + 2)*(g + 9)/17
Let z be ((-1)/3)/(1/(-9)). Suppose 5*t - 86 - 29 = -z*l, -t - 5 = -5*l. Solve -8 - 4*j**3 + 0*j**3 - 14*j**2 + 2*j**3 + t*j + 5*j**3 = 0.
2/3, 2
Let x(i) = 5*i + 4. Let p be x(0). Factor 4*v**3 + v**3 + 16 + 17*v + 7*v + 9*v**2 - p*v**3.
(v + 1)*(v + 4)**2
Let y(s) = -s**3 - 2*s**2 - s + 3. Let f be y(-2). Suppose f*k + 8 = 9*k. Factor r**2 - 10*r**2 + 4*r**k.
-5*r**2
Let j = -8969 + 8972. Find n, given that 1/5*n**5 + 7/10*n**4 + 9/10*n**j + 0 + 1/2*n**2 + 1/10*n = 0.
-1, -1/2, 0
Let w(g) = 9*g - 12. Let h be w(1). Let j be h*5/4 + 4. Find v such that -1/4*v**4 + 3/4*v**3 - j*v**5 + 0 + 1/4*v**2 - 1/2*v = 0.
-2, -1, 0, 1
Let p(u) = u**2 + 14*u + 49. Let m be p(-9). Let j(n) be the second derivative of 0 + 0*n**2 - 6*n + 1/6*n**m + 2/3*n**3. Factor j(l).
2*l*(l + 2)
Let a be 48/(-24)*(2*1 - 21/6). Let 18/5*d**2 + 54/5 + 54/5*d + 2/5*d**a = 0. Calculate d.
-3
Let i(a) be the third derivative of a**5/160 - a**4/32 + a**3/16 - 228*a**2. Factor i(z).
3*(z - 1)**2/8
Let k(l) = 25*l**2 + 25*l. Let i(c) = 2*c**2 - 7*c - 9. Let r(d) = d**2 - 3*d - 4. Let x(m) = -4*i(m) + 9*r(m). Let q(p) = k(p) - 20*x(p). Factor q(a).
5*a*(a + 1)
Let x = -37 + 16. Let z = 23 + x. Determine n, given that -n**2 - 4*n**3 - 4 + 0*n**z + 5 + 3*n + n**3 = 0.
-1, -1/3, 1
Let t = 19996 - 99978/5. Solve t - o**3 + 9/5*o**2 + 1/5*o**4 - 7/5*o = 0.
1, 2
Let z be 4/(-10)*(-350)/210. Let q(n) be the first derivative of 4*n**2 + z*n**4 - 1/15*n**5 - 6 - 3*n - 22/9*n**3. What is t in q(t) = 0?
1, 3
Let b(g) be the second derivative of g**8/700 + 4*g**7/525 + 7*g**6/450 + g**5/75 + 5*g**3 + 25*g. Let m(n) be the second derivative of b(n). Factor m(f).
4*f*(f + 1)**2*(3*f + 2)/5
Let j be -3*2/(-12)*31. Let m = j - 13. Suppose 5/4*a**4 - 5/2*a**3 + m*a**2 - 1/4*a**5 - 5/4*a + 1/4 = 0. Calculate a.
1
Let n(z) = -2*z**4 - 5*z**3 - 3*z**2 - 3*z - 3. Let l(g) = -4*g**4 - 11*g**3 - 7*g**2 - 5*g - 5. Let p(f) = 3*l(f) 