ctor 12*c**3 - 10*c**3 - 5*c**3 - 3*c**r.
-3*c**2*(c + 1)
Let f(q) be the second derivative of q**4/90 - 17*q**3/9 + 82*q**2/5 + 9*q + 14. Factor f(x).
2*(x - 82)*(x - 3)/15
Let l(x) be the second derivative of -x**5/60 + 125*x**4/6 - 31250*x**3/3 + 7812500*x**2/3 + 7*x - 19. Determine k so that l(k) = 0.
250
Let o(k) = 19*k**2 + 6*k. Suppose -i - 4*n = 0, -6*n - 12 = -2*n. Let r(t) = t. Let z(m) = i*r(m) - 3*o(m). Factor z(f).
-3*f*(19*f + 2)
Let d = -396521 + 566889. Find b, given that 412*b**2 - 148*b**2 + 0*b**3 - 2*b**3 + 4*b**3 + 13179*b + d - 1563*b = 0.
-44
Suppose -7*o + 5*c = -2*o, 0 = 2*o + 3*c. Suppose o = -4*s + 8*s - 128. Let -s*t**2 - 20*t - 5*t**3 - 11*t**2 + 68*t**2 = 0. What is t?
0, 1, 4
Suppose 0 = 3*m, 3*x - 209 = -3*m + 298. Suppose 93 + 50 = 3*h + p, -x = -4*h + 3*p. Suppose 7*u - h*u**2 + 2 + 48*u**2 - 3*u = 0. What is u?
-1
Suppose 3*w + 4*x = -748, -3*x = w + w + 497. Let p = -106 - w. Determine f, given that -38*f**2 + 3*f**2 - 21 + p*f - 19 = 0.
2/7, 4
Factor 562429509125/2*o + 2246405*o**3 + 1/2*o**5 + 1296673925*o**2 + 3461/2*o**4 + 559840650625/2.
(o + 1)*(o + 865)**4/2
Let y = 108057 + -108052. Factor 13/11*v - 7/11*v**4 + 18/11*v**3 - 2*v**2 + 1/11*v**y - 3/11.
(v - 3)*(v - 1)**4/11
Let h(x) be the first derivative of -x**3 - 69*x**2/2 - 378*x + 902. Factor h(a).
-3*(a + 9)*(a + 14)
Let j(a) be the second derivative of a**4/4 - 22*a**3 + 430*a. Let j(c) = 0. Calculate c.
0, 44
Let k(q) be the third derivative of -q**7/3150 - q**6/150 - q**5/30 - 5*q**4/24 - 11*q**3/6 - 58*q**2. Let o(z) be the second derivative of k(z). Factor o(p).
-4*(p + 1)*(p + 5)/5
Factor 57*p**3 - 3140 - 3271 + 1167*p + 6273 + 1362*p**2.
3*(p + 1)*(p + 23)*(19*p - 2)
Let k be (-8 - 1)/(-3) - -642. Let b = 645 - k. Factor b*w - 2/5*w**2 + 0 + 3/5*w**3 + w**4.
w**2*(w + 1)*(5*w - 2)/5
Let p(k) = -19*k**3 - 376*k**2 - 36872*k - 72200. Let g(w) = 3*w**3 - w**2 + 2*w. Let f(n) = 6*g(n) + p(n). Solve f(u) = 0 for u.
-190, -2
Let j be ((-14)/42)/((-2)/1218). Find a such that -8*a**2 + j*a**3 + 162*a**4 + 53*a**2 - 53*a**3 - 37*a**4 = 0.
-3/5, 0
Suppose -4*w - 3*l = -291 + 264, -4*w = 4*l - 32. Factor 4*g**2 - 1/2*g**w - 10*g + 8.
-(g - 4)*(g - 2)**2/2
Let i(n) be the third derivative of -1/126*n**7 + 0*n**3 + 0*n**4 + 0 - 50*n**2 + 1/15*n**5 + 0*n - 1/1008*n**8 + 1/45*n**6. Determine a so that i(a) = 0.
-6, -1, 0, 2
Let o be (-2)/(-3) + ((-1624)/87 - -34 - 14). Factor -4/3 - o*v**2 - 10/3*v + 2/3*v**4 + 2/3*v**3.
2*(v - 2)*(v + 1)**3/3
Solve 1952/5*v + 2/5*v**2 + 476288/5 = 0.
-488
Suppose -9*f + 2*f = -70. Let l be (-6)/15 + 164/f. Determine m so that 13*m**3 - 30*m**3 - m - 2*m**2 + l*m**3 = 0.
-1, 0
Suppose 6*k = 11*k - 20. Factor -6*y**2 - 4*y**k - 64*y**3 - 2*y**4 + 84*y**3.
-2*y**2*(y - 3)*(3*y - 1)
Let l(p) be the first derivative of -2*p**6/3 - 48*p**5/5 - 29*p**4 + 136*p**3/3 + 144*p**2 - 256*p - 957. Let l(n) = 0. What is n?
-8, -4, -2, 1
Determine k, given that k**5 - 13*k**4 + 122*k**3 + 80 + 39*k**4 + k**5 - 176*k + 254*k**2 + 456*k - 44*k = 0.
-5, -4, -2, -1
Suppose 326*h - 164*h = 156*h + 24. Let f(u) be the third derivative of 0*u + 1/48*u**3 + 1/48*u**h + 0 + 15*u**2 + 1/160*u**5. Let f(j) = 0. What is j?
-1, -1/3
Let i(j) be the third derivative of -j**6/16 + 19*j**5/20 - 51*j**4/16 + 9*j**3/2 - 4*j**2 + 69. Factor i(o).
-3*(o - 6)*(o - 1)*(5*o - 3)/2
Let v be 92/(-6) + 19 - (-64)/12. Factor 15/2*p**2 + v*p**3 + 3/2*p**4 + 0*p + 0.
3*p**2*(p + 1)*(p + 5)/2
Suppose 0 = 19*i + 8*i - 135. Suppose -2*g + i*r = -0*g - 24, 2*g - 16 = 3*r. Determine t, given that 4/5*t + 0 - 6/5*t**3 + 2/5*t**5 + 2/5*t**g - 2/5*t**4 = 0.
-1, 0, 1, 2
Solve 894*k + 37*k**2 - 137*k**2 - 910*k = 0.
-4/25, 0
Factor -2/3*x**3 + 956/3 + 482/3*x - 476/3*x**2.
-2*(x - 2)*(x + 1)*(x + 239)/3
Let u = 985 + -982. Let t = 9 - 7. Solve 4*m**t + 7 + 2*m - 2*m**4 - 5 - 3*m**5 - 4 + 5*m**5 - 4*m**u = 0.
-1, 1
Let l(t) be the third derivative of 1/300*t**5 + 0 - 10*t**2 + 24/5*t**3 + 0*t + 1/5*t**4. Solve l(y) = 0.
-12
Let a(s) = 28*s**2 + 1888*s - 412. Let n(o) = 30*o**2 + 1882*o - 413. Let r(c) = -3*a(c) + 4*n(c). Factor r(x).
4*(x + 52)*(9*x - 2)
Let j = 20830 - 20826. Let u(a) be the third derivative of 0*a**3 + 0*a**5 + 0*a + 1/40*a**6 - 19*a**2 + 0*a**j + 0. Factor u(b).
3*b**3
Let x(w) be the first derivative of w**4/2 + 4*w**3/9 - 7*w**2/3 + 4*w/3 + 2875. Factor x(r).
2*(r - 1)*(r + 2)*(3*r - 1)/3
Factor -98757 + 735*v**2 + 99537 + 11*v**3 - 2240*v - 36*v**3.
-5*(v - 26)*(v - 3)*(5*v - 2)
Let -2/3*n**3 - 44/3*n**2 + 218/3*n + 260/3 = 0. What is n?
-26, -1, 5
Let r = 70 + -76. Let i be (-96)/(-18)*r*(-3)/8. Factor -9*c**2 + 6 - 22*c**3 + i*c**3 + 7*c**3 + 3*c**4 + 3*c.
3*(c - 2)*(c - 1)*(c + 1)**2
Let f(y) be the first derivative of 2*y**3/3 - 917*y**2 - 1836*y + 6547. Factor f(u).
2*(u - 918)*(u + 1)
Let n(m) = 67*m**2 + 4783*m + 1251. Let f(q) = 32*q**2 + 2392*q + 630. Let u(j) = -13*f(j) + 6*n(j). Suppose u(l) = 0. Calculate l.
-171, -2/7
Let k(t) be the second derivative of -4*t - 1/60*t**4 + 7/10*t**2 + 1/5*t**3 + 13. What is b in k(b) = 0?
-1, 7
Let b = -759 - -769. Let r be b - 4 - (-4 - 192/(-20)). Determine k, given that 28/5*k**2 - 22/5*k + r*k**5 - 12/5*k**3 + 6/5 - 2/5*k**4 = 0.
-3, 1
Let c(i) be the third derivative of i**8/1344 + 23*i**7/840 + 131*i**6/480 - 23*i**5/240 - 11*i**4/8 + 5521*i**2. Let c(x) = 0. What is x?
-12, -11, -1, 0, 1
Let b be (8/5)/(26/195). Let k be (-95)/(-2)*(-25 + 27). Factor 2*t**2 - b*t**2 + 5*t + 10*t**4 + k*t**5 - 100*t**5.
-5*t*(t - 1)**3*(t + 1)
Let c(w) be the third derivative of -w**7/525 + 14*w**6/15 - 9659*w**5/75 - 658*w**4 - 6627*w**3/5 - w**2 - 54*w + 11. Factor c(k).
-2*(k - 141)**2*(k + 1)**2/5
Let q = 7759 - 7757. Let l(n) be the second derivative of 0 - 1/2*n**6 - 15/4*n**4 - 5/3*n**3 - 5/2*n**5 + 16*n + 0*n**q. Factor l(w).
-5*w*(w + 1)*(w + 2)*(3*w + 1)
Let s(y) be the third derivative of 1/5*y**4 + 44*y**2 - 1/150*y**6 + 1/25*y**5 + 0*y - 16/15*y**3 + 0. Solve s(u) = 0.
-2, 1, 4
Let k(g) = 11316500*g**2 - 13456*g + 24. Let o(w) = 11316499*w**2 - 13456*w + 19. Let t(z) = -3*k(z) + 4*o(z). What is c in t(c) = 0?
1/1682
Let z be 4*(9/(-24) - (-500)/1280). Let r(h) be the third derivative of -1/80*h**5 + 0 - z*h**4 - 20*h**2 + 0*h + 3/8*h**3. Factor r(f).
-3*(f - 1)*(f + 3)/4
Let k(i) be the third derivative of 0*i - 1/24*i**6 + 1/42*i**7 - 1/6*i**5 + 0*i**4 + 0*i**3 + 0 - 21*i**2. Factor k(p).
5*p**2*(p - 2)*(p + 1)
Determine s so that 0 - 108*s - 1/4*s**2 = 0.
-432, 0
Let u = -769 + 780. Let q(m) be the second derivative of -1/2*m**6 + 3/10*m**5 + 0*m**4 + 0*m**2 + 0 + 0*m**3 + 3/14*m**7 + u*m. Suppose q(w) = 0. Calculate w.
0, 2/3, 1
Suppose 0 = 89*c - 30*c - 35*c - 29*c. Let x(w) be the third derivative of 4*w**3 - w**4 + c*w - 1/160*w**6 + 20*w**2 + 0 + 1/8*w**5. Factor x(m).
-3*(m - 4)**2*(m - 2)/4
Let i(h) be the second derivative of -h**5/20 + 13*h**4/2 - 338*h**3 - 111*h**2/2 - 50*h. Let r(g) be the first derivative of i(g). Factor r(m).
-3*(m - 26)**2
Solve 0 + 4/5*t + 36*t**2 = 0.
-1/45, 0
Let f(z) be the third derivative of z**8/1512 + 2*z**7/315 + z**6/270 - 8*z**5/135 - z**4/36 + 10*z**3/27 + 1065*z**2. Solve f(n) = 0.
-5, -2, -1, 1
Suppose 4*p = 2*p + w + 6, 2*w = -3*p + 23. Let n(v) be the second derivative of 0*v**2 + 0 - 9*v - 4/9*v**3 + 1/6*v**4 + 1/30*v**p. Factor n(k).
2*k*(k - 1)*(k + 4)/3
Let t(f) = f**2 + 13*f - 230. Let l be t(10). Let x(m) be the second derivative of 3/10*m**5 - 7/6*m**4 + l + 10*m + 5/3*m**3 - m**2. Let x(u) = 0. Calculate u.
1/3, 1
Let a(t) be the first derivative of 15*t + 1/2*t**5 + 35/2*t**3 + 95/4*t**2 + 45/8*t**4 - 192. Factor a(h).
5*(h + 1)**3*(h + 6)/2
Let s(k) be the first derivative of -k**3/3 - 205*k**2/2 - 606*k - 3586. Factor s(y).
-(y + 3)*(y + 202)
Let c(v) be the second derivative of -v**5/70 + 73*v**4/14 + 74*v**3/7 - 440*v**2/7 + 2504*v. Solve c(z) = 0.
-2, 1, 220
Let x be (1920/(-1344))/(5/(-42)) - 192/44. Factor 2352/11*i + 1/11*i**3 + 21952/11 + x*i**2.
(i + 28)**3/11
Factor 3/2*z**4 + 5/2*z - 23/6*z**3 - 17/6*z**2 + 0.
z*(z - 3)*(z + 1)*(9*z - 5)/6
Let u(t) be the first derivative of 2*t**6/3 + 16*t**5/5 + 5*t**4 + 8*t**3/3 + 1984. Factor u(a).
4*a**2*(a + 1)**2*(a + 2)
Let o(i) be the third derivative of i**7/315 + 17*i**6/270 - 38*i**5