+ i**6/144 - 4*i**3 - 2*i**2 + 26. Let x(z) be the first derivative of c(z). Factor x(q).
-5*q**2*(q - 1)*(q + 1)/2
Let x(a) be the first derivative of -a**6/8 - a**5/12 - 38*a**3/3 + 2*a + 20. Let t(k) be the third derivative of x(k). Find h, given that t(h) = 0.
-2/9, 0
Factor 604*s**2 + 577*s**2 - 30 - 1798*s**2 - 116*s + 515*s**2 + 8*s**4 + 24*s**3.
2*(s - 3)*(s + 5)*(2*s + 1)**2
Let k(n) be the third derivative of -133*n**2 + 26/3*n**3 - 1/15*n**5 - 2*n**4 + 0 + 0*n. Determine g, given that k(g) = 0.
-13, 1
Let k(y) = y**2 + 869*y + 6892. Let t be k(-8). Factor -16/5*z**2 + 8/5*z**3 + 0*z + 0 - 1/5*z**t.
-z**2*(z - 4)**2/5
Let d be (-261 - -282) + 38/(-2). Let x(p) be the second derivative of 0 + 4*p - 4/3*p**3 - 1/6*p**4 + 0*p**d. Factor x(u).
-2*u*(u + 4)
Suppose -6*b + 13 + 317 = 0. Suppose -4*q + b = 7*q. Factor q*l**2 - 17 - 3 - 5*l**3 + 7*l**2 + 5*l + 8*l**2.
-5*(l - 4)*(l - 1)*(l + 1)
Factor -81403*o**4 - 52*o**3 - 393*o**3 - 302*o**3 + 81404*o**4 - 748*o**2.
o**2*(o - 748)*(o + 1)
Let h = -99 - -111. Factor 9 + 1 + 6*o**3 + 1 - h*o**2 + o**4 - 10*o + 4*o**3.
(o - 1)**2*(o + 1)*(o + 11)
Suppose -i - 369 = 5*f, 42*i - 1 = 41*i. Let a = f + 83. What is k in a*k**2 - 3/2*k**3 - 12 - 3/2*k**4 + 6*k = 0?
-2, 1, 2
Let w(h) be the third derivative of -h**7/504 + 7*h**6/144 - h**4/12 + 8*h**3 - 6*h**2 - 1. Let l(j) be the second derivative of w(j). Factor l(n).
-5*n*(n - 7)
Let s(q) = -q**2 - q - 1. Let i(j) = -2*j**2 + 15*j - 4. Let x(k) = -i(k) + 3*s(k). Let m be x(-18). What is u in 9*u - 5 - 107*u**2 - m + 104*u**2 = 0?
1, 2
Let w(j) be the first derivative of -127 + 6/13*j**2 + 0*j + 2/39*j**3. Factor w(u).
2*u*(u + 6)/13
Let o(t) = -t**3 - 3*t**2 + 7*t + 50. Let z be o(-4). Suppose -49*f**2 - 36*f**2 + 8*f**5 - z*f**4 + 28 + 122*f + 95*f**2 - 130*f**3 = 0. What is f?
-2, -1, -1/4, 1, 7
Let g(o) = -10*o**2 + 1955*o + 13680. Let f(z) = -z**2 + 177*z + 1244. Let u(t) = -45*f(t) + 4*g(t). Let u(c) = 0. Calculate c.
-7, 36
Let q(i) be the first derivative of -7 - 1210*i + 5/4*i**4 + 100/3*i**3 + 385/2*i**2. Determine d so that q(d) = 0.
-11, 2
Let z(b) be the second derivative of b**4/12 - 7*b**3 + 2760*b. Suppose z(q) = 0. What is q?
0, 42
Let q(p) be the first derivative of -14/15*p**5 + 3/40*p**6 - 3*p**3 + 31/8*p**4 + 0*p - 14*p**2 + 18. Let v(b) be the second derivative of q(b). Factor v(z).
(z - 3)**2*(9*z - 2)
Let m(j) be the second derivative of 8*j**7/147 + 94*j**6/105 + 136*j**5/35 - 13*j**4/21 - 460*j**3/21 + 16*j**2 - 6*j - 111. Solve m(n) = 0 for n.
-7, -4, -2, 1/4, 1
What is p in -136/9*p**2 + 4/3*p**4 + 352/9 - 76/9*p**3 + 304/9*p = 0?
-2, -1, 2, 22/3
Let h(z) be the first derivative of -z**4/4 - 4*z**3 - 24*z**2 + 22*z - 37. Let u(g) be the first derivative of h(g). What is p in u(p) = 0?
-4
Let d be 5/(-680)*-18 - (-6)/51. Let n(t) = -t**3 - 23*t**2 + 110*t + 57. Let m be n(-27). Find z such that 1/2*z**m + 0*z + 0 - d*z**2 = 0.
0, 1/2
Let i(v) be the first derivative of v**6/9 + 4*v**5/3 + 7*v**4/2 - 56*v**3/9 - 52*v**2/3 + 32*v + 846. Find y such that i(y) = 0.
-6, -4, -2, 1
Suppose -171*k + 386 = -22*k + 88. Solve -75/2*j**k + 0*j + 3/2 = 0 for j.
-1/5, 1/5
Let t = 45759 + -45756. Factor 8/7*c**4 + 0*c - 12/7*c**t + 0 + 4/7*c**5 + 0*c**2.
4*c**3*(c - 1)*(c + 3)/7
Let q(d) = -17*d**4 + d**3 - 2*d**2 + 1. Let v(u) = 86*u**4 - 215*u**3 - 413*u**2 - 212*u - 5. Let j(x) = -10*q(x) - 2*v(x). Suppose j(h) = 0. What is h?
-1, 0, 212
Let p be 50443/691 - (-3 - -49). Factor 21/2*b**3 + p*b + 12 - 99/2*b**2.
3*(b - 4)*(b - 1)*(7*b + 2)/2
Factor -117/7*w + 162 + 3/7*w**2.
3*(w - 21)*(w - 18)/7
Let g(v) = -2*v**2 - 18*v + 11. Let p be g(-8). Let o = 30 - p. Let l**4 - 4*l**2 - 13*l**3 + 2 + l + l**2 + 22*l**3 - 10*l**o = 0. What is l?
-1, 1, 2
Let g(k) be the second derivative of k**6/45 - 41*k**5/15 - 19*k**4/2 + 28*k**3 + 831*k + 1. Let g(u) = 0. Calculate u.
-3, 0, 1, 84
Let i(z) be the first derivative of z**9/1296 + 37*z**8/5040 + z**7/252 + 44*z**3/3 - 22. Let h(t) be the third derivative of i(t). Factor h(x).
x**3*(x + 5)*(7*x + 2)/3
Let z = -155772 + 155774. Find u, given that 5*u + 0 + 1/2*u**3 + 7/2*u**z = 0.
-5, -2, 0
Let j(z) = 3*z + 30. Let n be j(-12). Let u = 33 + n. Factor 38*i + 3*i**2 - u*i + 363 + 55*i.
3*(i + 11)**2
Let k be (3 - 3) + (8 - (-1 - -1087)). Let z = 1078 + k. Determine f, given that z - 7/4*f - 1/4*f**2 = 0.
-7, 0
Let o = 116887 - 818199/7. Find g such that -o*g + 11/7 - 1/7*g**2 = 0.
-11, 1
Let a be -13 - -4 - (0 - (-3 - -3)). Let z be (10/(-30))/(1/a)*1. Find i, given that -62 + 62 + 6*i + 3*i**z + 7*i**2 + 2*i**2 = 0.
-2, -1, 0
Solve 1632675 - 344389 + 8600781 + 2071*d + 2*d**2 + 6242133 + 9289*d = 0 for d.
-2840
Let z = 590 - 587. Suppose -3*q = z*l + 6, -4*l - 3*q - 1 = 3. Factor -1/5*x**l + 3/5*x**3 + 0 + 1/5*x**4 - 3/5*x.
x*(x - 1)*(x + 1)*(x + 3)/5
Let d(y) be the first derivative of -3*y**4/28 - 1969*y**3/7 + 1689*y**2/2 - 5913*y/7 + 10020. Factor d(r).
-3*(r - 1)**2*(r + 1971)/7
Suppose -2*t - 3*c + 32 = 0, -4*t = -3*c + c - 32. Factor 12*y**2 - 7 - 17 + t + 4*y**3 - 2.
4*(y - 1)*(y + 2)**2
Solve 342*x**2 - 102*x**2 - 121*x**2 - 117*x**2 + 344*x = 0 for x.
-172, 0
Factor 67*k**2 + 860*k + 163*k**2 + 567 + 273 - 8862*k**3 + 8867*k**3.
5*(k + 2)**2*(k + 42)
Factor -6*n**3 + 1536*n**5 + 1523*n**5 + 3*n**4 - 3056*n**5.
3*n**3*(n - 1)*(n + 2)
Factor -176997 + 1714*k - 5*k**2 - 764783 + 874*k + 1752*k.
-5*(k - 434)**2
Let d be 45/(18/24 + (-5)/(-20)). Factor 5*y**2 + 505 - 253 - 10*y - 222 + d*y.
5*(y + 1)*(y + 6)
Let f be -4 - ((-2)/(-2) + (-352)/36). Let g = f + -91/36. Find r, given that g*r - 3/2*r**2 + 0 = 0.
0, 3/2
Let t = -15562 + 15564. Let 2/5*o**t - 18/5 + 1/5*o**3 - 9/5*o = 0. Calculate o.
-3, -2, 3
Let o(s) = 2*s**2 - 56*s - 50 + 3*s**2 + 71*s. Let m(j) = 15*j**2 + 45*j - 150. Let c(d) = 4*m(d) - 11*o(d). Determine y so that c(y) = 0.
-5, 2
Suppose 24*g - 160 = -8*g. Factor -r**5 + 4*r - 4 + 578*r**4 + 0*r**5 - 11*r**3 + 4*r**g - 579*r**4 + 9*r**2.
(r - 1)**3*(r + 2)*(3*r + 2)
Let d(s) = 5*s**2 + 8*s + 5. Suppose 4 = 2*h + 3*t, -2*h - 17 = -t - 13. Let w be d(h). Factor 0*c - 1/2*c**5 + 0 + 0*c**w + 3/4*c**4 + 1/2*c**3.
-c**3*(c - 2)*(2*c + 1)/4
Factor -1995*i - 75*i + 4*i**2 - 3517 - 1370*i - 3379.
4*(i - 862)*(i + 2)
Let m(v) = -16*v - 34. Let x be m(-4). Factor -8*i + x - 3*i**2 - 14*i + 47*i - 16*i.
-3*(i - 5)*(i + 2)
Let l = 232 + -191. Factor -l*j + 0*j**2 - 50*j - 5*j**2 + 101*j.
-5*j*(j - 2)
Let c = -686330/3 + 228778. Solve 2/3*r**5 - c*r**2 + 0 - 8/3*r**3 + 0*r + 1/3*r**4 = 0.
-2, -1/2, 0, 2
Let x be ((-63)/12)/7 - (357/(-28) - -10). Suppose 5/3*k**x - 10 - 25/3*k = 0. What is k?
-1, 6
Let c(j) be the second derivative of j**7/630 - j**6/180 - j**5/180 + j**4/36 - 49*j**2 + 75*j - 1. Let l(y) be the first derivative of c(y). Solve l(p) = 0.
-1, 0, 1, 2
Suppose -69*f - 28 = -83*f. Let r(x) be the second derivative of 0 - 2*x**f - 1/12*x**4 + 5/6*x**3 + 11*x. Find d such that r(d) = 0.
1, 4
Suppose 4*w = -b + 11, 0 = -4*w + 3*b - 6 + 5. Solve 11*x + 43*x**w - 1 + 43*x**2 - 96*x**2 = 0.
1/10, 1
Let d = 4/5797 + 4212/5797. Suppose 6/11*i**2 + d*i + 0 - 2/11*i**3 = 0. Calculate i.
-1, 0, 4
Let b(m) be the first derivative of 3/5*m**5 + 2*m**3 + 9/4*m**4 - 78 + 0*m**2 + 0*m. What is h in b(h) = 0?
-2, -1, 0
Suppose 0 = 3*u + 2*u + 30. Let a be 5/1 - (0 - 27/u). Factor -1/2*k - a*k**2 + 0.
-k*(k + 1)/2
Let a(k) be the first derivative of -5*k**4/4 - 650*k**3/3 + 1985*k**2/2 - 1330*k + 6621. Find m such that a(m) = 0.
-133, 1, 2
Let z(u) be the third derivative of -u**7/70 + 19*u**6/120 + 41*u**5/180 + 7*u**4/72 + 9*u**2 - 6. Factor z(r).
-r*(r - 7)*(3*r + 1)**2/3
Suppose 399 = 2*t - 395. Let z = t - 395. Determine b so that -6/5*b + 9/5 - 3/5*b**z = 0.
-3, 1
Determine d, given that 11*d**2 + 7/3*d**5 + 0 + 10/3*d - 17/3*d**3 - 11*d**4 = 0.
-1, -2/7, 0, 1, 5
Let w(k) be the third derivative of 0 - 5/1008*k**8 + 0*k**3 - 1/120*k**6 + 0*k - 1/70*k**7 + 1/180*k**5 + 0*k**4 - 14*k**2. Solve w(l) = 0 for l.
-1, 0, 1/5
Suppose -56*v - 74 = -70*v + 4*q, -5*v = -4*q - 47. What is r in -16/3*r**4 + 52/3 - 124*r**2 + 236/3*r**v + 100/3*r = 0?
-1/4, 1, 13
Let 2/7*a**2 + 430/7*a - 432/7 = 0. What is a?
-216, 1
Let h = 14 - 10. Suppose -297*g = 22*g. Let 4/7*m**3 + 2/7*m**2 - 4/7*m - 2/7*m