*2 + 2186*u + 4246*u - 859*u**4 + 1280 + 434*u**3 + 868*u**4.
(u + 4)**2*(u + 40)*(9*u + 2)
Let l = -14205 + 14207. Let c(n) be the first derivative of 1/8*n**4 + 1/3*n**3 + 2 - 1/4*n**l - n. Factor c(v).
(v - 1)*(v + 1)*(v + 2)/2
Let i(d) be the first derivative of 5*d**4/4 - 2920*d**3/3 + 5825*d**2/2 - 2910*d + 4187. Let i(o) = 0. Calculate o.
1, 582
Let v(y) be the first derivative of 0*y**2 - 26/3*y**3 - 1/2*y**4 - 6 + 6*y. Let w(n) = -5*n**3 - 79*n**2 + 17. Let l(o) = 17*v(o) - 6*w(o). Factor l(x).
-4*x**2*(x - 8)
Let 15*v + 23*v - 33*v - 640 - 120*v - 4*v**2 - 213*v = 0. Calculate v.
-80, -2
Suppose 206*d + 443*d - 3658 = -2360. Let 25/2*s**d + 3*s**3 + 45/4 + 1/4*s**4 + 21*s = 0. What is s?
-5, -3, -1
Let d(u) be the third derivative of -u**5/36 - 7*u**4/36 - 4*u**3/9 - 61*u**2 - 10. Find q, given that d(q) = 0.
-2, -4/5
Let g(n) be the second derivative of n**5/5 + 89*n**4 - 2168*n**3/3 + 2*n + 932. Factor g(y).
4*y*(y - 4)*(y + 271)
Let p(y) = -66*y**3 + 2115*y**2 - 3390*y - 1260. Let j(r) = 3*r**3 - 2*r**2 - 5*r + 3. Let x(d) = -12*j(d) - p(d). Factor x(o).
3*(o - 68)*(o - 2)*(10*o + 3)
Let o be 24/94*((-700)/63 + 11). Let p = 1148/705 + o. Factor p*z + 12/5 - 4/5*z**2.
-4*(z - 3)*(z + 1)/5
Let d be 40/90 - 46/(-18). Factor -41*m**2 + 9*m - d*m + 38*m**2 - 6*m**3 + 3*m**4.
3*m*(m - 2)*(m - 1)*(m + 1)
Let g(h) be the first derivative of 14/5*h + 2/15*h**3 - 8/5*h**2 - 136. Find q, given that g(q) = 0.
1, 7
Let t be (16 - 180/15)*(5 + (-295)/60). Factor t*h**3 + 16/3*h**2 + 14/3 + 29/3*h.
(h + 1)**2*(h + 14)/3
Let j(n) = n**3 + 426*n**2 + n - 348. Let w(b) = 40*b**2 + b - 1. Let t(y) = j(y) - 2*w(y). Factor t(h).
(h - 1)*(h + 1)*(h + 346)
Solve 431*k**2 + 568*k + 1661*k**2 - 2*k**4 - 29*k**2 - 929*k**2 + 564*k**3 = 0 for k.
-1, 0, 284
Let h = 1099374 + -1099369. What is i in -7/6*i**4 + 17/6*i**3 - 17/6*i**2 + 1/6*i**h + 0 + i = 0?
0, 1, 2, 3
Let r(y) = 8*y + 115. Let d be r(-14). Suppose v = -4*k - 6, 0 = d*v + 5*k - 7 + 11. What is s in -8/5*s - 2/5*s**v + 2 = 0?
-5, 1
Let a be 9/(585/(-754)) - -12. Let n = -167 + 838/5. Determine z so that 3/5*z**2 - n - a*z + 2/5*z**3 = 0.
-3/2, -1, 1
Let c be (-7 + (-520)/(-66))/3. Let a = 4/99 + c. Factor -1/6*y**3 + 0*y + a*y**2 - 1/6*y**4 + 0.
-y**2*(y - 1)*(y + 2)/6
Let l(q) be the second derivative of 40*q**2 + 20*q**3 - 115/12*q**4 - 8*q - 15/4*q**5 - 1/3*q**6 - 2. Find g, given that l(g) = 0.
-4, -1/2, 1
Suppose 3*y - 18 = -h, -460 = 2*h - 2*y - 448. Let q(b) be the second derivative of h - 10*b**2 + 8/3*b**3 - 16*b + 1/3*b**4. Suppose q(k) = 0. What is k?
-5, 1
What is i in 6*i**3 - 125*i - 7*i - 213*i**2 + 95*i**2 + 1040 - 2*i**3 + 70*i**2 = 0?
-5, 4, 13
Let q(x) = x**2 + 14*x - 17. Let v be q(-15). Let f be -2*v/(-25)*-10. Factor -f*b**3 + 0 + 2/5*b**4 + 6/5*b**2 + 0*b.
2*b**2*(b - 3)*(b - 1)/5
Let r(v) = 14*v - 683. Let h be r(49). Let t(u) be the first derivative of 16/7*u - 10/7*u**2 + 4/21*u**h - 8. Determine c, given that t(c) = 0.
1, 4
Determine v, given that 16/3*v**4 - 868/3*v**3 + 0 + 0*v + 72*v**2 = 0.
0, 1/4, 54
Let u(s) be the third derivative of -s**7/630 - 119*s**6/90 - 79*s**5/10 - 355*s**4/18 - 473*s**3/18 - 1403*s**2. What is h in u(h) = 0?
-473, -1
Let m(t) be the second derivative of 51*t**5/40 + 53*t**4/24 - 76*t**3/3 - 3*t**2 - 7*t - 15. Factor m(n).
(n - 2)*(n + 3)*(51*n + 2)/2
Let g be (4/(-3) + (-448)/24 + 18)/(-60). Let y(a) be the third derivative of 22*a**2 + 0*a + 0 - 2/15*a**5 + 0*a**3 + g*a**6 - 1/2*a**4. What is v in y(v) = 0?
-1, 0, 3
Let c(i) = -357*i**2 - 377*i - 27. Let m be (-2)/4 + (-270)/(-36). Let r(w) = -178*w**2 - 188*w - 13. Let t(q) = m*r(q) - 3*c(q). Suppose t(d) = 0. Calculate d.
-1, -2/35
Determine b, given that -20/3 + 1/12*b**2 - 19/6*b = 0.
-2, 40
Let s be 1*2 - 77/35 - 341/(-55). Let l(f) be the first derivative of 5/2*f**s + 5/2*f**2 + 11 - 10/3*f**3 + 0*f - 5*f**4 + 2*f**5. Let l(h) = 0. What is h?
-1, 0, 1/3, 1
Let s = 182606 - 182408. Factor 324 + 1/2*q**3 + s*q + 19*q**2.
(q + 2)*(q + 18)**2/2
Let t(o) be the second derivative of o**4 - 724*o**3/3 + 480*o**2 + 5911*o. Factor t(z).
4*(z - 120)*(3*z - 2)
Let k(m) = -8*m**3 + 8*m**2 - 5*m. Let c(p) = p**3 - p**2 + p. Suppose -25 = -5*l, -3*g - 2*l - 50 - 45 = 0. Let n(u) = g*c(u) - 5*k(u). What is b in n(b) = 0?
-1, 0, 2
Let m be -5 - (-8 + (-36)/(-16)) - (-1)/20. Let l(h) be the second derivative of -2/15*h**6 + 16*h - m*h**5 + 2/3*h**4 - 18*h**2 + 8*h**3 + 0. Factor l(y).
-4*(y - 1)**2*(y + 3)**2
Factor 3/5*m**3 - 66/5*m + 48/5 + 3*m**2.
3*(m - 2)*(m - 1)*(m + 8)/5
Let p(g) be the third derivative of -g**8/504 - 31*g**7/315 - 23*g**6/30 - 106*g**5/45 - 26*g**4/9 + 114*g**2 + 2. Solve p(f) = 0 for f.
-26, -2, -1, 0
Suppose -w - m - 23 = 3*m, -4*m = 3*w + 45. Let g(o) = 2*o + 25. Let t be g(w). Solve 24*i**2 + t*i**3 + 0*i**3 - 14*i**2 - 7*i**2 = 0 for i.
-1, 0
Let t(b) be the second derivative of -1/231*b**7 + 1/3*b**3 - 2/55*b**6 + 6/11*b**2 + 0*b**4 + 0 - 1/11*b**5 + 43*b. What is g in t(g) = 0?
-3, -2, -1, 1
Let i(o) be the first derivative of -o**4/3 + 34*o**3/9 + 122*o**2/3 - 130*o/3 - 1397. Let i(q) = 0. What is q?
-5, 1/2, 13
Let v(y) be the second derivative of y**4/6 - 470*y**3/3 + 55225*y**2 - 2544*y. Factor v(d).
2*(d - 235)**2
Suppose 3*q - 11*q = 40. Let n be 15 + 0*q/(-25). What is d in 47*d + 20*d + 28*d - n*d**2 + 70 = 0?
-2/3, 7
Let o(c) be the third derivative of 0 + 1/12*c**5 + 25/12*c**4 + 63*c**2 + 0*c**3 + 0*c. Factor o(r).
5*r*(r + 10)
Let h(p) = -p**4 - p**2 + 2*p + 2. Let b(q) = q**4 - 160*q**3 - 4781*q**2 - 63366*q - 313638. Let z(g) = -b(g) - 3*h(g). Solve z(a) = 0 for a.
-22, -18
Let v = -18 - -19. Let s = 5 - v. Factor -16*g**3 - 24*g**2 + 6*g**4 - 11*g**4 + g**s - 4 - 16*g.
-4*(g + 1)**4
Let r be (201/268)/(8 - 217/28). Factor -6/11*g**r + 18/11*g**2 - 12/11*g + 0.
-6*g*(g - 2)*(g - 1)/11
Let y(x) be the second derivative of 1/270*x**5 + 0 + 1/27*x**4 + 10*x + 4/27*x**3 + 23/2*x**2. Let h(j) be the first derivative of y(j). Factor h(o).
2*(o + 2)**2/9
Let f(o) = 22*o**2 - 955*o + 1011. Let w(p) = 25*p + 1. Let j(z) = f(z) - 3*w(z). Factor j(i).
2*(i - 1)*(11*i - 504)
Let z(j) be the first derivative of j**6/39 + 54*j**5/65 - 125*j**4/26 - 10*j**3/13 + 484*j**2/13 - 744*j/13 + 6729. What is x in z(x) = 0?
-31, -2, 1, 2, 3
Let c be ((-2)/13)/((4636/247)/(-61)). Factor -c*w**2 - 3*w + 0.
-w*(w + 6)/2
Suppose 38 = 25*o + 438. Let j be ((-65)/(-52))/((-10)/o). Suppose 1/4*x - 1/2*x**j + 0 + 1/4*x**3 = 0. What is x?
0, 1
Let t(i) = i**3 + 3175*i**2 + 627257*i - 630433. Let d(x) = -x**3 - 6351*x**2 - 1254513*x + 1260865. Let b(o) = -3*d(o) - 7*t(o). Let b(a) = 0. Calculate a.
-397, 1
Suppose -14*u + 25*u - 101 = -43*u + 61. Factor -12/7*v**4 + 8/7*v**u + 4/7 - 12/7*v + 8/7*v**2 + 4/7*v**5.
4*(v - 1)**4*(v + 1)/7
Suppose 41*h - 27 = 219. Let q(g) be the third derivative of -h*g**2 + 0*g - 1/30*g**5 - 1/60*g**6 + 1/3*g**3 + 0 + 1/12*g**4. Factor q(y).
-2*(y - 1)*(y + 1)**2
Factor -61/2*d**2 - 119/2*d - 59/2 - 1/2*d**3.
-(d + 1)**2*(d + 59)/2
Let y(u) = 2*u**3 - 22*u**2 + 36*u + 2. Let f be 0*(-6)/36*3 + 9. Let v be y(f). Suppose -2*g**v + 2/5*g + 4/5 + 4/5*g**3 = 0. Calculate g.
-1/2, 1, 2
Let u be (-115)/(-25) - 4 - 6097/(-21105). Let u*w**3 - 2/3*w**4 - 2/9*w**5 + 0*w**2 + 0*w + 0 = 0. What is w?
-4, 0, 1
Let g(p) be the second derivative of 0 + 0*p**2 + 113*p - 1/5*p**5 - 2/21*p**7 + 0*p**3 + 0*p**4 + 4/15*p**6. Factor g(t).
-4*t**3*(t - 1)**2
Let k(p) = 3*p**4 - 2*p**3 + p**2 - p + 1. Let m(i) = -11*i**4 - 656*i**3 - 22427*i**2 - 42248*i - 2. Let n(o) = -2*k(o) - m(o). Determine w so that n(w) = 0.
-65, -2, 0
Factor 1072 + 580 + 9010*g + 4508*g**2 + 11*g**3 + 14*g**3 + 2852 - 23*g**3.
2*(g + 1)**2*(g + 2252)
Suppose 4*j + 2132 = 4*t, 79*j + 2*t = 80*j + 538. Let l be (10/14)/(8*(-55)/j). Factor 0 + l*b**3 - 6/7*b**2 + 0*b.
6*b**2*(b - 1)/7
Factor -927*j**2 + 482*j**2 + 432 + 135*j + 442*j**2.
-3*(j - 48)*(j + 3)
Let t(m) be the third derivative of -m**6/780 + 46*m**5/65 + 188*m**4/13 + 4544*m**3/39 + 2*m**2 + 353*m. Factor t(n).
-2*(n - 284)*(n + 4)**2/13
Let l(u) be the second derivative of u**3/3 - 4*u. Let a(v) = 2*v**2 - 32*v + 8. Let x = -21 - -23. Let y(d) = x*a(d) + 22*l(d). Factor y(c).
4*(c - 4)*(c - 1)
Let q(l) be the third derivative of -l + 0 +