(t - 1)*(t + 1)**3
Let x(q) be the second derivative of -q**4/12 - 47*q**3/6 + 24*q**2 - 10*q + 146. Determine o, given that x(o) = 0.
-48, 1
Factor -1032*o - 579*o - 135*o - 9839*o**2 - 254043 + 9836*o**2.
-3*(o + 291)**2
Let w(m) = -15*m**2 - 339*m + 585. Let j(l) = l**2 + 26*l - 45. Suppose 3*b = -6, -2*b = 4*g + 3*b + 2. Let c(t) = g*w(t) + 27*j(t). Factor c(s).
-3*(s - 5)*(s - 3)
Let i(a) be the second derivative of -a**9/3024 + a**8/336 + 11*a**7/504 + a**6/24 - 7*a**4/2 - 2*a - 55. Let o(c) be the third derivative of i(c). Factor o(x).
-5*x*(x - 6)*(x + 1)**2
Let l = 26 - 26. Let j = 108 + -429/4. Let l - 3/4*c**2 + j*c = 0. What is c?
0, 1
Let i(f) be the second derivative of 3*f**5/100 + f**4/2 - 61*f**3/10 - 21*f**2 + 480*f + 2. Factor i(w).
3*(w - 5)*(w + 1)*(w + 14)/5
Let j(g) be the second derivative of -g**7/147 - 44*g**6/105 + 8*g**5 - 57*g**4 + 1467*g**3/7 - 2970*g**2/7 + 1356*g. Find f, given that j(f) = 0.
-55, 2, 3
Let y = -1007 + 1010. Let a be ((-506)/561)/(-2) + (-1)/y. Factor -2/17*b**2 + 0 + a*b.
-2*b*(b - 1)/17
Find w, given that -429/5*w**2 - 3/5*w**4 - 15*w**3 + 0 + 507/5*w = 0.
-13, 0, 1
Let l(d) = 60*d + 72. Let c be l(-6). Let s be (-3)/9*(6 + c/42). Factor -s*p**2 - 2/21*p**3 + 0 - 4/21*p.
-2*p*(p + 1)*(p + 2)/21
Solve 455/3*a + 304 - 1/6*a**2 = 0 for a.
-2, 912
Find k such that -1295/4*k - 1/4*k**4 + 108 + 1293/4*k**2 - 429/4*k**3 = 0.
-432, 1
Suppose k = -2*u + 72, u - 98 = -2*u - 4*k. Let o be 2632/266 + 4/u - 5. Factor -1/5*v**3 - 1/5*v**4 + 1/5*v**2 + 1/5*v**o + 0 + 0*v.
v**2*(v - 1)**2*(v + 1)/5
Suppose 2*p + w + 20 = 0, -4*p - 21 - 19 = -4*w. Let c be -1*(-3)/p*35/(-14). Factor 0*j + 9/4*j**2 - 3 + c*j**3.
3*(j - 1)*(j + 2)**2/4
Suppose -1 = -5*v + 19. Let s(i) = i**3 + 100*i**2 - 170*i - 26628. Let f be s(-99). Suppose 0 - v*m**f - 12/5*m - 4/5*m**4 - 28/5*m**2 = 0. What is m?
-3, -1, 0
Let i(j) be the third derivative of -j**8/2856 + 52*j**7/595 - 77*j**6/170 + 46*j**5/51 - 3*j**4/4 - 49*j**2 + 15. Find z, given that i(z) = 0.
0, 1, 153
Suppose -21*y - 27*y = 101*y + 10*y + 161*y. Find m such that y + 4/5*m**3 + 0*m - 2/5*m**2 - 2/5*m**4 = 0.
0, 1
Factor 0 - 234/5*b**2 + 8/5*b.
-2*b*(117*b - 4)/5
Let v = 930102 - 4650502/5. Let m = -192 + 963/5. Factor -v - 2*s + m*s**2.
(s - 4)*(3*s + 2)/5
Let q(n) = 18*n**3 + 318*n**2 + 224*n + 340. Let d be q(-17). Find f such that -4/5*f**2 + 204/5*f + d = 0.
0, 51
Let o = 572702 - 572698. Let i(v) = -v**3 - v**2 + 2. Let w be i(0). Factor 0*a**3 + 0 + 1/3*a**w - 1/3*a**o - 1/6*a + 1/6*a**5.
a*(a - 1)**3*(a + 1)/6
Suppose 4*h + 525 = 3*j, 2*h + 6 = 4*h. Suppose -27 = -4*i - 3*t, 203 - j = 3*i + t. Factor -3/2*u - 21/2*u**2 + i.
-3*(u + 1)*(7*u - 6)/2
Let n(w) be the third derivative of w**7/2940 + w**6/24 - 9*w**5/35 + w**4/4 - w**3/6 + 54*w**2 + 4*w. Let x(s) be the second derivative of n(s). Factor x(d).
6*(d - 1)*(d + 36)/7
Let v(m) be the third derivative of m**8/28 + 44*m**7/105 - 193*m**6/30 - 296*m**5/15 + 10*m**4 + 96*m**3 + 180*m**2 + m. Find h, given that v(h) = 0.
-12, -1, 2/3, 6
Let q(g) be the second derivative of -5*g**7/42 + 4*g**6/3 + 3*g**5/4 - 75*g**4/2 + 1000*g. Suppose q(x) = 0. What is x?
-3, 0, 5, 6
Let w be 32/12 + (-312)/(-936). Find r, given that -4096/3 + 1408*r + 1/3*r**w - 43*r**2 = 0.
1, 64
Let t be ((-166)/(-8134))/(1/21). Find g such that t*g**3 + 6/7*g + 0 - 9/7*g**2 = 0.
0, 1, 2
Suppose 35*x = 32*x + 66. Factor 12*l**2 - x*l**4 - 24*l + 7*l**3 + 7*l**4 + 11*l**3 - l**5 + 4*l**5.
3*l*(l - 2)**3*(l + 1)
Suppose 18*b - 62 = -8. Factor 10*g - 9*g**2 + 4*g**3 + 8 - 14*g - g**2 + 2*g**2 + 0*g**b.
4*(g - 2)*(g - 1)*(g + 1)
Solve 292/3*b**2 + 2/3*b**5 + 92/3*b**4 - 98/3*b + 0 - 96*b**3 = 0.
-49, 0, 1
Let c(l) = -18*l**3 - 161*l**2 - 1339*l - 2747. Let f(w) = 14*w**3 + 160*w**2 + 1340*w + 2748. Let o(d) = 4*c(d) + 5*f(d). Solve o(k) = 0.
-4, 86
Let b be (-1848)/(-83490) - 4/(-46). Let p(f) be the first derivative of -b*f**5 + 0*f**2 + 4/11*f**4 - 9 + 0*f + 2/11*f**3. Factor p(a).
-2*a**2*(a - 3)*(3*a + 1)/11
Let w(o) be the first derivative of o**4/26 + 22*o**3/13 - 153*o**2/13 - 370*o/13 + 981. Factor w(k).
2*(k - 5)*(k + 1)*(k + 37)/13
Let a(i) be the second derivative of 7 + 6*i**2 + 5/4*i**4 + 3/20*i**5 + 4*i**3 - 5*i. Factor a(w).
3*(w + 1)*(w + 2)**2
Factor -c**2 - 16889*c + 0*c**2 + 88 + 16976*c.
-(c - 88)*(c + 1)
Let v = 2674/117 - 2656/117. Factor v*u**3 - 4/13*u**2 + 0 - 6/13*u.
2*u*(u - 3)*(u + 1)/13
Let a(i) = -2*i**3 - 19*i**2 + 7*i - 28. Let q be a(-10). Suppose -3*t - 4*u - 7 = -1, -5*t - 3*u = -1. Determine o so that 6*o + 3 + 1 + 2*o**2 - q + t = 0.
-2, -1
Let g(q) be the second derivative of -22*q**6/15 - 68*q**5/5 - q**4/3 + 664*q**3/3 + 120*q**2 + 2812*q. Find y such that g(y) = 0.
-5, -3, -2/11, 2
Let r(l) be the third derivative of -l**6/280 - l**5/28 + 13*l**4/14 + 16*l**3 - l**2 + 2*l - 2280. Factor r(g).
-3*(g - 7)*(g + 4)*(g + 8)/7
Factor -3/5*f**4 - 321*f - 1611/5*f**2 - 534/5 - 543/5*f**3.
-3*(f + 1)**3*(f + 178)/5
Let w(q) = -q**2 - 12*q - 10. Suppose 5 = 28*d - 29*d. Let u be w(d). Suppose -30 - 5*c**2 + 12*c - 2*c - 10*c + u*c = 0. What is c?
2, 3
Let c(n) be the third derivative of -n**6/90 + 7*n**5/15 - 13*n**4/6 + 62*n**3/3 + n**2 - 91*n. Let f(s) be the first derivative of c(s). What is q in f(q) = 0?
1, 13
Let q(o) = -8*o**2 - 15248*o - 7265582. Let m(f) = 18*f**2 + 34308*f + 16347562. Let a(h) = 9*m(h) + 20*q(h). Factor a(v).
2*(v + 953)**2
Let d(n) be the second derivative of -1/12*n**3 - 5*n + 1/48*n**4 - 8 + 1/8*n**2. Factor d(j).
(j - 1)**2/4
Let s(r) be the first derivative of r**5/15 - 5*r**4/2 + 28*r**3 - 65*r**2/3 - 1183*r + 3066. Determine p so that s(p) = 0.
-3, 7, 13
Let u(f) be the second derivative of f**9/3780 - f**8/1680 - f**7/315 - 29*f**4/12 + f**3/3 + 136*f. Let p(b) be the third derivative of u(b). Factor p(w).
4*w**2*(w - 2)*(w + 1)
What is q in 89/2*q + q**2 + 87/2 = 0?
-87/2, -1
Suppose 0 = -3*z + 3, -3*g + z = -4*z + 5. Let b = -431337 - -431339. Solve 0 - 3/7*q**3 + g*q + 3/7*q**b = 0.
0, 1
Suppose b + 16 = 2*a - 4*a, -3*a + 15 = 0. Let s = b - -28. Determine m, given that -16*m + 13*m**2 + 29*m**s + 18*m**4 - 12*m**3 + 14*m**2 - 48*m**3 = 0.
0, 2/3, 2
Suppose -86*n + 189*n + 168*n = 0. Let j(z) be the second derivative of 1/3*z**3 - 1/10*z**5 + z**2 + n - 1/6*z**4 + 8*z. Let j(i) = 0. What is i?
-1, 1
Let h(u) be the third derivative of -18225*u**6/8 + 1215*u**5/2 - 135*u**4/2 + 4*u**3 - 682*u**2. Factor h(y).
-3*(45*y - 2)**3
Solve 530*a**2 + 238*a**3 - 75*a - 433*a**4 + 7*a**5 + 383*a**4 - 266*a**3 = 0 for a.
-3, 0, 1/7, 5
Find p such that -15*p**2 + 1641 + 795 + 9145*p + 614 = 0.
-1/3, 610
Solve 800 - 5649*y**4 + 11278*y**4 + 748*y**3 + 2640*y - 5665*y**4 - 4152*y**2 = 0.
-2/9, 1, 10
Let a(n) be the third derivative of -n**7/80 + n**6 + 23*n**5/40 - 690*n**2. Factor a(k).
-3*k**2*(k - 46)*(7*k + 2)/8
Let -64 - 68/13*k**2 - 2/13*k**3 - 448/13*k = 0. What is k?
-26, -4
Let v = 7103 - 7098. Let x(w) be the first derivative of -1/12*w**3 - v - 36*w - 3*w**2. Factor x(i).
-(i + 12)**2/4
Suppose 17*p + 187 = -221. Let r(f) = -12*f**2 - 38*f + 80. Let y(d) = -57*d**2 - 189*d + 402. Let n(o) = p*r(o) + 5*y(o). Determine u so that n(u) = 0.
5, 6
Factor -72/11*c + 1/11*c**3 + 0 - 14/11*c**2.
c*(c - 18)*(c + 4)/11
Let y = 89/507 + 35/5577. Determine i so that -2/11*i**3 + 0 + 0*i**2 + y*i = 0.
-1, 0, 1
Find i such that -45/2*i**4 - 174*i + 0 + 90*i**2 + 2607/2*i**3 = 0.
-2/5, 0, 1/3, 58
Let s = -112934/7 + 112940/7. Factor 18/7*n + 24 - s*n**2.
-6*(n - 7)*(n + 4)/7
Let q(y) be the second derivative of y**5/30 + 68*y**4/9 + 1285*y**3/9 + 1050*y**2 + 4027*y. What is p in q(p) = 0?
-126, -5
Let v be 122/488 - (-20)/16. Solve 6*o**2 + v*o**4 - 9*o**3 + 9*o - 15/2 = 0 for o.
-1, 1, 5
Let u(w) = -12*w - 40. Let a be u(-7). Solve -4*g**5 + 14*g + 5*g**4 + 34*g - 125*g**3 + 3*g**5 + 129*g**3 - a*g**2 = 0.
-3, 0, 2, 4
Let a(r) be the second derivative of -r**5/4 - 95*r**4/3 - 9145*r**3/6 - 33635*r**2 + 325*r. Factor a(n).
-5*(n + 14)*(n + 31)**2
Let l(x) = -260*x**2 + 1920*x - 1916. Let n(p) = -488*p**2 + 3840*p - 3832. Let f(z) = -15*l(z) + 8*n(z). Let f(g) = 0. What is g?
1, 479
Let l(o) = -129*o + 10580. Let h be l(82). Factor -1/3*b**h - 20/3*b - 100/3.
-(b + 10)**2/3
Let f(v) be the secon