**5 - g**3 - 3*g**3 = 0.
-1, 0, 1
Let n(s) be the first derivative of s**4/12 + s**3/6 - 3*s**2 + 17*s + 32. Let q(i) be the first derivative of n(i). Factor q(g).
(g - 2)*(g + 3)
What is u in 912/7*u**2 - 30/7*u**3 - 1230/7*u + 348/7 = 0?
2/5, 1, 29
Let k = -48 + 41. Let r = 9 + k. Suppose -24 + u + 12 + 10 - u**3 + 2*u**r = 0. What is u?
-1, 1, 2
Let w = 45 + -43. Suppose 3*r - 16 - w = 0. Factor 5*m**3 + r*m - 6*m**4 + 5*m**5 - 10*m - 9*m**4 + 15*m**2 - 6*m.
5*m*(m - 2)*(m - 1)**2*(m + 1)
Let d(m) be the first derivative of m**4/18 + 2*m**3 + 15*m**2 - 150*m - 833. Factor d(t).
2*(t - 3)*(t + 15)**2/9
Let a(d) be the first derivative of -d**3/3 - 325*d**2 - 105625*d - 224. What is h in a(h) = 0?
-325
Let i(j) = -5*j - 95. Let l be i(-24). Solve 7 - l*r - 20*r**2 - 5*r**3 + 1 + 5 - 23 = 0.
-2, -1
Let s(q) be the first derivative of -q**4/4 + 20*q**3/9 - 13*q**2/2 + 6*q - 1609. Determine j, given that s(j) = 0.
2/3, 3
Factor 12/7*o + 3/7*o**2 - 96/7.
3*(o - 4)*(o + 8)/7
Let q be (-1 - 1)*(-17870)/21280*-8. Let k = q + 315/19. Let -8/7*a + 0 + k*a**2 + 2/7*a**4 + 2/7*a**5 - 18/7*a**3 = 0. Calculate a.
-4, 0, 1
Let p = -620215/6 + 103370. Factor -35/3*s + p*s**2 - 25/2.
5*(s - 15)*(s + 1)/6
Let y(z) be the second derivative of -1/4*z**4 + 3 - 87/2*z**2 - 47*z + 15*z**3. Find a such that y(a) = 0.
1, 29
Let f(t) = -t**2 - 4*t + 6. Let j(i) = i. Suppose 0 = -3*y + l - 14, -5*l + 5 = -2*y - 0*y. Let r(x) = y*f(x) + 5*j(x). Factor r(n).
5*(n - 1)*(n + 6)
Suppose 114*z + 36 = 123*z. Suppose -y - 3 = z*o - 7, -3*y + 12 = -3*o. Find m such that 3/2*m**2 + o + 3/4*m + 3/4*m**3 = 0.
-1, 0
Let g(o) be the first derivative of -o**5/15 + 5*o**4/4 - 22*o**3/3 + 58*o**2/3 - 24*o - 4512. Factor g(h).
-(h - 9)*(h - 2)**3/3
Let x = 7307/5487 + 3/1829. Let c(v) be the first derivative of 15 + 2*v**2 + x*v**3 + 0*v + 1/4*v**4. Factor c(d).
d*(d + 2)**2
Let m(x) be the third derivative of 7/32*x**4 - x + 0 + 1/480*x**6 - 60*x**2 + 5/12*x**3 + 1/20*x**5. Factor m(f).
(f + 1)**2*(f + 10)/4
Let b be (4 + -3)*(27 - 4). Factor 817*g**4 - 42*g**3 - b*g**3 - 812*g**4.
5*g**3*(g - 13)
Let w be (-14 - 1608/(-84)) + 20/(-5). Let g(n) be the first derivative of 4/21*n**3 + 29 + w*n + 1/14*n**4 - n**2. What is u in g(u) = 0?
-4, 1
Let w(l) be the second derivative of l**5/70 - 87*l**4/14 - 25*l**3 - 263*l**2/7 - 18*l - 12. Factor w(z).
2*(z - 263)*(z + 1)**2/7
Factor 292/5*t**3 + 2/5*t**4 + 172*t + 286/5 + 864/5*t**2.
2*(t + 1)**3*(t + 143)/5
Let f(c) = -2*c**2 + 665*c - 32696. Let z be f(60). Let 30*h**2 + 206/7*h + 2/7*h**z + 74/7*h**3 + 68/7 = 0. What is h?
-34, -1
Let t(n) be the first derivative of -n**5/20 - 17*n**4/16 + 19*n**3/4 - 59*n**2/8 + 5*n + 4207. Suppose t(b) = 0. What is b?
-20, 1
Let c(y) = 1011*y + 127386. Let z be c(-126). Factor -8/17*m**2 + z + 6/17*m + 2/17*m**3.
2*m*(m - 3)*(m - 1)/17
Let d(y) be the second derivative of y**5/42 - 857*y**4/126 + 38*y**3/7 + 793*y. Factor d(i).
2*i*(i - 171)*(5*i - 2)/21
Let x(y) = y**3 + 16*y**2 - 58*y - 17. Let p be x(-19). Factor -39/2*k - 9/4*k**p - 12.
-3*(k + 8)*(3*k + 2)/4
Let u(b) be the third derivative of b**7/140 + 19*b**6/360 - b**5/360 - 19*b**4/72 - 2*b**3/9 + 2*b**2 - 945. Find t, given that u(t) = 0.
-4, -1, -2/9, 1
Let b(q) be the second derivative of -q**4/12 - 40*q**3/3 - 231*q**2/2 - 2046*q. Suppose b(i) = 0. Calculate i.
-77, -3
Let z(s) be the first derivative of s**6/3 + 96*s**5/25 - 7*s**4/2 - 308*s**3/15 - 36*s**2/5 + 16*s + 1726. Solve z(v) = 0.
-10, -1, 2/5, 2
Let b(m) be the third derivative of -m**5/12 - 415*m**4/24 + 425*m**3/3 + 793*m**2. Factor b(u).
-5*(u - 2)*(u + 85)
Let t(d) be the second derivative of d**5/210 + 2*d**4/9 - 20*d**3/21 + 9*d - 66. What is a in t(a) = 0?
-30, 0, 2
Let m(k) = k**3 - k + 2. Let d be (-2)/(-7) - 30/(-42). Let x be m(d). Find j such that 323*j + 2*j**x - 319*j - 1 + 3 = 0.
-1
Let p be 24/(-9)*3/(-2). Let j be (14 - (-4220)/(-300))*-11 + (-6)/(-10). Determine u, given that 1/3*u**5 + 4/3*u**p + 2*u**3 + 1/3*u + 0 + j*u**2 = 0.
-1, 0
Let z(i) = -7*i**3 - 139*i**2 - 4772*i + 4936. Let u(l) = -6*l**3 - 139*l**2 - 4770*l + 4930. Let h(f) = -6*u(f) + 5*z(f). Solve h(r) = 0 for r.
-70, 1
Let v(y) be the first derivative of -y**3/3 + 1447*y**2 - 2093809*y - 1062. Solve v(i) = 0 for i.
1447
Let r(c) be the second derivative of -c**7/168 - c**6/120 + 17*c**5/40 - 7*c**4/6 - 2570*c. Let r(x) = 0. Calculate x.
-7, 0, 2, 4
Let k be 13 + ((-3)/(-7) - ((-22661)/(-903) + -13)). Determine n, given that 2*n**3 - 1/3*n**4 - k - 13/3*n**2 + 4*n = 0.
1, 2
Let d = 174932 + -174929. Factor -135/8*b - 9/2*b**2 - 3/8*b**d - 81/4.
-3*(b + 3)**2*(b + 6)/8
Factor -3277 + 469*a**2 - 4122 + 6531*a - 472*a**2 - 1375 + 2246.
-3*(a - 2176)*(a - 1)
Let z(l) be the second derivative of -l**6/30 - 3*l**5/5 + 33*l**4/4 - 79*l**3/3 + 36*l**2 - 1305*l. Factor z(c).
-(c - 4)*(c - 1)**2*(c + 18)
What is q in -164/3*q**2 + 0 - 36*q**3 - 80/3*q - 1/3*q**5 - 25/3*q**4 = 0?
-20, -2, -1, 0
Let c = 456 + -444. Let n be (c/2 + (9 - 15))*1. Suppose 0 + n*b - 8/5*b**2 + 2/5*b**3 = 0. What is b?
0, 4
Let x(t) be the second derivative of -1/165*t**6 - 17/33*t**3 - 6/11*t**2 - 5*t - 7 - 7/110*t**5 - 17/66*t**4. What is a in x(a) = 0?
-3, -2, -1
Let i(q) be the first derivative of -8/17*q**2 + 32/17*q + 30 - 2/17*q**3. Factor i(r).
-2*(r + 4)*(3*r - 4)/17
Let s(t) be the third derivative of 361/6*t**3 - 2*t**2 + 19/24*t**4 + 1/240*t**5 - 4*t + 0. Factor s(k).
(k + 38)**2/4
Let o = 153068/7 + -764983/35. Factor o*f - 3/5*f**2 + 114/5.
-3*(f - 19)*(f + 2)/5
Let y(o) = 9*o**3 - 23*o**2 + o + 23. Let q(m) be the second derivative of -m**5/5 + m**4 - 6*m**2 - 26*m. Let x(f) = 5*q(f) + 2*y(f). Factor x(c).
-2*(c - 7)*(c - 1)*(c + 1)
Let l(t) = -23*t**2 + 84*t - 41. Let h be l(3). Determine i, given that 0*i - 4/7*i**3 + 34/21*i**h - 10/21*i**5 + 0 + 0*i**2 = 0.
0, 2/5, 3
Let a(g) be the third derivative of -g**6/960 + g**5/40 + 3*g**4/4 + 20*g**3/3 - g**2 - 18*g. Factor a(q).
-(q - 20)*(q + 4)**2/8
Let r(u) be the first derivative of -u**6/2 + 12*u**4 + 16*u**3 - 72*u**2 - 192*u + 2289. Factor r(b).
-3*(b - 4)*(b - 2)*(b + 2)**3
Let z be 2 + -125 + 0 + 1 + 3. Let y = 122 + z. Factor -6*b + 6*b - 12*b - y*b**2 - 63 + 78.
-3*(b - 1)*(b + 5)
Let c = 4430 + -2807. Let v = c + -1620. Let 49/3*l**5 - 42*l**4 + 76/3*l**2 - 29*l**v - 4*l + 0 = 0. What is l?
-1, 0, 2/7, 3
Let i(w) = -w**2 + 10*w - 12. Let r be i(6). Suppose 2*n = -n + r. Factor 4*g + 3*g + 3 - n*g + 4*g**3 - 3*g**2 - 7*g**3.
-3*(g - 1)*(g + 1)**2
Let i(o) be the second derivative of 0*o**3 + 1/42*o**4 + 0*o**2 - 21*o + 1/70*o**5 + 0. Factor i(u).
2*u**2*(u + 1)/7
Factor w**5 + 1992*w**2 + 2018*w**2 + 40*w**3 - 3962*w**2 + 11*w**4.
w**2*(w + 3)*(w + 4)**2
Suppose -7*h = 51 - 79. Factor -31*i**3 + 18*i**h + 58*i**3 + 12*i**2 + 0*i**5 - 2*i**5 + 5*i**5.
3*i**2*(i + 1)**2*(i + 4)
Let g(b) be the third derivative of -b**7/630 - 7*b**6/90 - 109*b**5/90 - 65*b**4/18 + 169*b**3/6 + 2297*b**2. Factor g(s).
-(s - 1)*(s + 3)*(s + 13)**2/3
Let -2*c**2 - 3676*c - 1868*c - 1276802 + 4170*c - 1822*c = 0. What is c?
-799
Let p(z) be the third derivative of z**6/30 + 83*z**5/15 + 163*z**4/6 + 54*z**3 - 535*z**2. Factor p(b).
4*(b + 1)**2*(b + 81)
Let c = 242 + -242. Let z(t) be the third derivative of -1/24*t**3 + c*t + 1/160*t**5 + 0 - 1/192*t**4 + 14*t**2. Factor z(j).
(j - 1)*(3*j + 2)/8
Let t(y) be the first derivative of -y**5/330 + 17*y**4/132 - 16*y**3/33 - y**2/2 + 18*y + 42. Let m(k) be the second derivative of t(k). Factor m(w).
-2*(w - 16)*(w - 1)/11
Let g(x) be the third derivative of -1/8*x**6 + 25/6*x**4 + 0*x - 19*x**2 + 10*x**3 + 1/12*x**5 + 0. Find z such that g(z) = 0.
-2, -2/3, 3
Let f(j) be the first derivative of 0*j + 0*j**2 - 49/2*j**6 + 92 - 8*j**3 - 45*j**4 - 378/5*j**5. Factor f(v).
-3*v**2*(v + 2)*(7*v + 2)**2
Let d(q) be the third derivative of q**7/490 - q**6/30 + 11*q**5/140 - q**4/21 + 2934*q**2. Determine h so that d(h) = 0.
0, 1/3, 1, 8
Let u = 86640 + -86636. Factor 0*l**2 + 0*l - 5*l**u + 5/2*l**3 + 5/2*l**5 + 0.
5*l**3*(l - 1)**2/2
Let n be 6/9*(-3)/(-4)*0/77. Let o(r) be the first derivative of -1/10*r**4 + n*r**2 + 4/15*r**3 + 0*r - 9. Factor o(g).
-2*g**2*(g - 2)/5
Let v be (2/(-15) - (-128)/60) + 1. Solve v - 1 + 23*c**2 + 0 - 930