 + 47711 - h**3 + 47627 + 620*h**2 + 3747*h.
-(h - 626)*(h + 3)**2
Suppose 3*z + 96 = 6*p, 0 = 5*z + 768*p - 769*p + 7. Factor 0*r**z + 0 + r**4 + 0*r + 2/3*r**3 + 1/3*r**5.
r**3*(r + 1)*(r + 2)/3
Let n be 244118/13818 - (0 - -9). Factor -8/3*o**2 + n + 34*o.
-2*(o - 13)*(4*o + 1)/3
Let a be -3*(0 + (-544)/(-20)). Let u = a + 2916/35. Find w such that 0 + u*w**2 + 0*w - 3/7*w**3 = 0.
0, 4
Let z(f) be the first derivative of f**3/3 - 430*f**2 - 3798. Determine r, given that z(r) = 0.
0, 860
Suppose -2890 - 55/4*q**5 - 15335/4*q**3 - 465*q**4 + 5165/2*q**2 + 15555*q = 0. What is q?
-17, -2, 2/11, 2
Suppose 1/8*r**5 - 3/4*r**4 - 7/8*r**3 + 0*r**2 + 0*r + 0 = 0. What is r?
-1, 0, 7
Let v(u) = -u**3 + 14*u**2 - 10*u - 37. Let b be v(13). Determine k so that -10 + 17*k**b - 32*k - 14 - 4 - 21*k**2 = 0.
-7, -1
Find k such that 419*k**2 + 400*k - 840*k**2 + 125 + 279 + 417*k**2 = 0.
-1, 101
Let j(h) be the first derivative of -h**6/360 + h**5/45 + 11*h**4/72 + h**3/3 + 77*h**2/2 + 25. Let r(p) be the second derivative of j(p). Factor r(a).
-(a - 6)*(a + 1)**2/3
Suppose 5*n - 2*l - 72 = 0, -2*l + 0*l + 24 = n. Suppose -12 = 4*q - x - n, 0 = 2*q + 5*x - 24. Factor -3/8*b - 3/4*b**q + 3/8.
-3*(b + 1)*(2*b - 1)/8
Let o be (-324)/(-270)*30/(-27) + ((-470)/75 - -8). Factor -24/5*s**3 + o*s - 22/5*s**2 + 0.
-2*s*(s + 1)*(12*s - 1)/5
Suppose z + 4*j = 2*z - 34, 3*z - j = 124. Let t = z + -39. Factor -4*m**t - 26*m**2 + 18*m**2 + m**4 + 3*m**4.
4*m**2*(m - 2)*(m + 1)
Let m(p) = 35*p**2 + 180*p + 145. Let q = -381 - -377. Let j(u) = -9*u**2 - 45*u - 36. Let x(n) = q*m(n) - 15*j(n). Factor x(g).
-5*(g + 1)*(g + 8)
Let l(u) = 14*u**2 - 548*u + 128. Let b(s) = -5*s**2 + 183*s - 43. Suppose 52*h - 35*h = 51. Let t(a) = h*l(a) + 10*b(a). Suppose t(j) = 0. Calculate j.
1/4, 23
Let o(d) be the first derivative of d**6/6 + 2*d**5 + 39*d**4/4 + 74*d**3/3 + 34*d**2 + 24*d + 3983. Find g, given that o(g) = 0.
-3, -2, -1
Let g = -6/1907 + 3832/5721. What is j in 512/3*j + g*j**3 + 0 - 64/3*j**2 = 0?
0, 16
Let f = -41/29 + 485/261. Let u(c) be the second derivative of -2/135*c**6 - 5*c + 14/27*c**3 + 0 - 1/3*c**4 - f*c**2 + 1/9*c**5. Factor u(t).
-4*(t - 2)*(t - 1)**3/9
Let y(o) be the first derivative of -80/3*o**2 + 38/9*o**3 - 20 - 200/3*o - 1/6*o**4. What is i in y(i) = 0?
-1, 10
Factor 1/2*x**2 + 2 + 2*x.
(x + 2)**2/2
Let m(o) be the first derivative of -o**4/18 - 14*o**3/9 - 15*o**2 - 189*o - 47. Let l(g) be the first derivative of m(g). Suppose l(f) = 0. What is f?
-9, -5
Let t(n) = -161*n**3 - 116*n**2 + 9*n - 4. Let x(i) = -173*i**3 - 117*i**2 + 11*i - 5. Let l(o) = -5*t(o) + 4*x(o). Factor l(z).
z*(z + 1)*(113*z - 1)
Let k(y) = 12*y**2 - 15*y + 50. Let g(q) = -5*q**2 + 8*q - 25. Let c(t) = 14*t + 10. Let o be c(-7). Let h = o + 83. Let u(i) = h*g(i) - 2*k(i). Factor u(l).
(l - 5)**2
Let y(i) = -2*i**3 - 60*i**2 - 90*i - 20. Let z(f) = -5*f**3 + f**2 - f - 1. Let a(b) = y(b) - 2*z(b). Determine w so that a(w) = 0.
-1, -1/4, 9
Solve 0 - 353/4*m**2 + 0*m - 88*m**3 + 1/4*m**4 = 0.
-1, 0, 353
Let r be (-15)/((-135)/(-117)) - -16. Let w(h) be the second derivative of 0 - 1/12*h**4 + h**2 + 1/6*h**r - 14*h. Factor w(m).
-(m - 2)*(m + 1)
Let z(h) be the second derivative of -h**7/2940 - h**6/420 + h**3/2 - 6*h**2 - 84*h. Let s(q) be the second derivative of z(q). Factor s(t).
-2*t**2*(t + 3)/7
Let x(g) = -2*g**4 - 3. Let s(l) = 5*l**5 - 131*l**4 + 315*l**3 + 1055*l**2 + 600*l + 6. Let c(q) = s(q) + 2*x(q). Let c(i) = 0. Calculate i.
-1, 0, 5, 24
Suppose 20*a + 5239 = 7*a. Let x = -401 - a. Factor -2/15*o + 4/15*o**x + 2/15*o**3 - 4/15.
2*(o - 1)*(o + 1)*(o + 2)/15
Let -49*c**3 + 60*c**2 - 11604*c - 18*c**3 + 13364*c + 5*c**4 - 8*c**3 = 0. Calculate c.
-4, 0, 8, 11
Find k, given that 6*k**2 + 16*k**2 - 375*k**3 - 84967*k**4 + 5*k**5 + 500*k + 85077*k**4 - 2*k**2 = 0.
-25, -1, 0, 2
Let n = 23277 - 23272. Let o(t) be the second derivative of 19/9*t**3 + 2*t**2 - 20*t + 0 + 16/27*t**4 + 1/18*t**n. Factor o(k).
2*(k + 3)**2*(5*k + 2)/9
Factor -208/7 - 2/7*b**3 + 44*b - 14*b**2.
-2*(b - 2)*(b - 1)*(b + 52)/7
Suppose 1352/11 + 2/11*x**3 - 1344/11*x + 30*x**2 = 0. Calculate x.
-169, 2
Let f(o) = 2*o**3 - o - 1. Let v(t) = 70*t**2 + 52 - 24 - 5*t**3 + 37 + 130*t. Let r(c) = 5*f(c) + v(c). Suppose r(q) = 0. Calculate q.
-12, -1
Let b(z) = 46*z + 370. Suppose 4 = p - 3*d, 5*p = -d + 4*d - 28. Let u be b(p). Factor 5/4*j**u + 1 - 4*j + 7/4*j**3.
(j - 1)*(j + 2)*(7*j - 2)/4
Suppose 0 = -100*u + 109*u + 180. Let a be 12/(-24)*u/5. Find g such that 0 + 1/3*g**a + 4/3*g = 0.
-4, 0
Suppose 0 = -4*n + 12*n + 17*n - 100. Let s(b) be the first derivative of 3/5*b**5 - 3/2*b**2 + 0*b - b**3 - 6 + 3/4*b**n. Factor s(p).
3*p*(p - 1)*(p + 1)**2
Let n(v) be the third derivative of -v**5/20 - 37*v**4 - 295*v**3/2 + 14*v**2 - 64*v. Determine y, given that n(y) = 0.
-295, -1
Suppose 3*x = s + 13, -36 = 6*s - 66. Suppose 3*i - x = -3*g, -3*g + 5*i - 7 = 3. Solve 0*h - 4/7*h**4 + 4/7*h**3 + 0*h**2 + g - 8/7*h**5 = 0 for h.
-1, 0, 1/2
Let v = -10513 - -10513. Let s(f) be the second derivative of v*f**2 + 14*f + 0 + 1/18*f**4 - 8/9*f**3. Factor s(o).
2*o*(o - 8)/3
Let c(w) be the first derivative of -121*w**7/560 + 11*w**6/60 - w**5/20 + 2*w**3/3 + 30. Let d(m) be the third derivative of c(m). Factor d(o).
-3*o*(11*o - 2)**2/2
Let i(f) be the first derivative of -5*f**4/12 - 10*f**3 + 65*f**2/2 + 104*f + 79. Let s(v) be the first derivative of i(v). Factor s(t).
-5*(t - 1)*(t + 13)
Let r(a) = -a**3 - 7*a**2 - 14*a - 12. Let p be r(-5). What is t in 8*t - 5*t**4 + 36*t**2 - 8*t**4 - p*t**3 - 10*t**4 - 32 + 19*t**4 = 0?
-4, -1, 1, 2
Let g(z) = 120*z - 6120. Let j be g(51). Solve -10/9*h**3 + 2/9*h**4 - 2/3*h + j + 14/9*h**2 = 0.
0, 1, 3
Let p(s) be the third derivative of s**5/15 + 17*s**4/3 + 62*s**3 + 3393*s**2. Find f such that p(f) = 0.
-31, -3
Suppose -5004/7*d + 21060/7 + 332/7*d**2 - 4/7*d**3 = 0. Calculate d.
9, 65
Let l(n) be the third derivative of -n**7/105 + n**6/2 - 14*n**5/5 + 41*n**4/6 - 9*n**3 - 5*n**2 - 80. Factor l(o).
-2*(o - 27)*(o - 1)**3
Let b(y) be the third derivative of y**6/40 + y**5/60 + 13*y**4/12 + y**3 - 73*y**2. Let h(c) = c**3 + 9*c + 2. Let w(t) = -4*b(t) + 11*h(t). Solve w(r) = 0.
-2, -1
Let s = 635 + -9511/15. Let j(h) = -h**2 - 7*h + 82. Let z be j(-13). Suppose s*p - 2/15*p**5 - 4/5*p**3 - 4/15*p**2 - 2/5 + 2/3*p**z = 0. Calculate p.
-1, 1, 3
Let m(j) be the second derivative of j**5/80 + 13*j**4/6 - 107*j**3/24 - 105*j**2/4 + 148*j. Solve m(k) = 0.
-105, -1, 2
Let d(o) be the third derivative of -o**6/360 + 5*o**5/18 - 275*o**4/24 + 250*o**3 + 3744*o**2. Factor d(y).
-(y - 20)*(y - 15)**2/3
Find r such that -71*r**4 - 139*r**4 + 192*r**4 + 60*r**2 + 108*r - 3*r**5 - 42*r**4 - 105*r**3 = 0.
-18, -2, -1, 0, 1
Let a(w) be the third derivative of -2/3*w**4 + 12*w**3 + 2*w**2 + 14 - 77/270*w**5 - 1/945*w**7 + 0*w + 1/30*w**6. Let a(m) = 0. Calculate m.
-2, 2, 9
Let k(o) be the second derivative of -2/5*o**6 + 0 + 0*o**3 + 1/14*o**7 - 45*o - 1/2*o**4 + 0*o**2 + 3/4*o**5. Find q such that k(q) = 0.
0, 1, 2
Let i(g) = 147*g**2 + 1728*g + 188. Let q(z) = 99*z**2 + 1152*z + 125. Let a(m) = 5*i(m) - 8*q(m). Let a(o) = 0. What is o?
-10, -2/19
Let v(m) be the third derivative of -20 + 1/480*m**6 + 0*m**3 + 0*m + 5/96*m**4 + 3*m**2 - 1/40*m**5. Find u, given that v(u) = 0.
0, 1, 5
Let q = 1159153 - 1159149. Let 0 + 2*g**3 + 16/3*g + 68/3*g**2 - 38/3*g**q + 8/3*g**5 = 0. Calculate g.
-1, -1/4, 0, 2, 4
Let m(j) be the first derivative of 4/5*j**5 + 4*j**3 - 5*j**4 + 10*j**2 - 44 - 16*j. Find b, given that m(b) = 0.
-1, 1, 4
Let p = -46 - -154. Suppose -2*g - 4*g + p = 0. What is z in 66*z**3 - g*z**3 + 17*z**2 + 4 - 48*z**5 + 52*z**4 - 18*z**2 - 55*z**2 = 0?
-1, -1/4, 1/3, 1
Let m(v) be the second derivative of v**4/6 + 20*v**3/3 + 19*v**2 - 3520*v. Suppose m(x) = 0. What is x?
-19, -1
Suppose 358 = 2*a - 2*v, 0 = 14*a - 12*a + 5*v - 330. Let w = -172 + a. Factor 1/2*j**w - 1 - 3/2*j + 0*j**2.
(j - 2)*(j + 1)**2/2
Let u be 1/(-40)*(-100)/30*(-28)/(-70). Let y(b) be the third derivative of 0*b**3 - u*b**5 - 1/105*b**7 + 0*b + 0 + 0*b**4 + 24*b**2 - 1/30*b**6. Factor y(m).
-2*m**2*(m + 1)**2
Let c(k) be the first derivative of 2*k**3/15 - 12*k**2/5 - 56*k/5 - 701. Determine s, gi