, 0, 1
Solve -2/11*h**4 - 64/11*h**2 - 68/11*h**3 + 6 + 68/11*h = 0.
-33, -1, 1
Suppose -17*s = -399 + 246. Let h(o) be the first derivative of -s - 36/5*o + 43/5*o**2 + 2/3*o**3. Determine k so that h(k) = 0.
-9, 2/5
Let a(z) be the first derivative of -z**7/5040 - 7*z**6/270 - 49*z**5/45 - 4*z**3/3 - z + 31. Let x(c) be the third derivative of a(c). Factor x(w).
-w*(w + 28)**2/6
Let c be (-2 - 63/(-30))*4/68. Let z(b) be the second derivative of 1/255*b**6 + 0 + c*b**5 - 1/51*b**4 + 0*b**2 - 15*b + 0*b**3. Determine k so that z(k) = 0.
-2, 0, 1
What is d in 27*d**5 - 64*d - 725*d**4 + 661*d**4 - 15*d**5 + 96*d**3 = 0?
-2/3, 0, 2
Let r be -154 + 164 - ((-3)/(-5))/(0 + (-15)/(-20)). Factor 52/5*z - 16/5 + r*z**2 + 8/5*z**3.
2*(z + 2)*(z + 4)*(4*z - 1)/5
Factor 5701*f + 286*f**2 + 1157*f - 2*f**4 - 98*f**3 - 693*f**2 - 519*f**2 - 5832.
-2*(f - 4)*(f - 1)*(f + 27)**2
Factor 29/5*l**4 + 132/5*l**2 + 98/5*l**3 - 32/5 + 3/5*l**5 + 8*l.
(l + 2)**3*(l + 4)*(3*l - 1)/5
Let 3/2*i**3 - 72*i**2 - 783/2*i - 318 = 0. Calculate i.
-4, -1, 53
Let l(d) be the first derivative of d**7/42 + d**6/10 - d**5/4 - d**4/4 + 2*d**3/3 - 202*d - 187. Let y(q) be the first derivative of l(q). Factor y(s).
s*(s - 1)**2*(s + 1)*(s + 4)
Let i(b) be the second derivative of -b**5/40 - 7*b**4/16 - 3*b**3/2 - 26*b**2 + 2*b - 26. Let u(h) be the first derivative of i(h). Factor u(m).
-3*(m + 1)*(m + 6)/2
Let o(k) = -832*k - 184702. Let g be o(-222). Factor 2/3*j + 2/9*j**g - 4.
2*(j - 3)*(j + 6)/9
Let t(p) be the first derivative of 0*p**4 + 1/10*p**6 + 0*p**3 - 2/25*p**5 + 0*p**2 + 96 + 0*p. Factor t(g).
g**4*(3*g - 2)/5
Let r(v) be the second derivative of 4 - 7/20*v**5 + 1/10*v**6 + v - 3/4*v**3 + 1/2*v**2 + 2/3*v**4 - 1/84*v**7. Factor r(k).
-(k - 2)*(k - 1)**4/2
Let t(y) be the second derivative of -y**6/90 - y**5/6 + 13*y**4/36 + 11*y**3/9 + 389*y. Factor t(c).
-c*(c - 2)*(c + 1)*(c + 11)/3
Let b = 1787/4268 + -180/1067. Factor 1 - p + b*p**2.
(p - 2)**2/4
Factor -3/8*d**5 - 1326151875/8 - 188355/4*d**3 + 1737/8*d**4 - 1289568375/8*d + 18102525/4*d**2.
-3*(d - 145)**4*(d + 1)/8
Suppose w + 3*w - 12 = 0, h + 3*w - 54 = 0. Let u = 49 - h. Factor u*p - 13*p + 18*p**2 - 15*p**2.
3*p*(p - 3)
Let -3340*g + 66*g**2 - 61*g**2 - 715*g = 0. What is g?
0, 811
Factor 0 + 482*d**3 + 602/5*d**4 + 8/5*d + 2416/5*d**2.
2*d*(d + 2)**2*(301*d + 1)/5
Suppose 320*h**4 - 54*h**4 - 3*h**3 + 490 - 490 + 334*h**4 = 0. What is h?
0, 1/200
Let j = 2512459/11 - 228405. Factor -j*o**2 + 2/11*o - 2/11*o**3 + 4/11.
-2*(o - 1)*(o + 1)*(o + 2)/11
Let i be 12 - (1 - 3/(-3)). Suppose -3*h = 2*h - i. Solve 14*v - 4*v**2 - 22*v + 2*v**h = 0.
-4, 0
Let i(a) be the first derivative of -4*a**5/5 + 1598*a**4 - 2553604*a**3/3 - 3721. Solve i(o) = 0.
0, 799
Let d(i) = -3*i - 46. Let t be d(-17). Suppose -a = f - 6, 5*f - 3*f = t*a - 9. Solve 8*s**a + 88 - 90 + 8*s - 3*s**4 + s**4 + 4*s**2 - 16*s**2 = 0 for s.
1
Suppose 0 - 224/9*n**2 - 50/9*n**3 + 2/9*n**4 - 232/9*n = 0. What is n?
-2, 0, 29
Let n(d) be the third derivative of d**5/180 + 647*d**4/36 + 418609*d**3/18 + 1950*d**2 + 2. Determine t, given that n(t) = 0.
-647
Let o(g) be the second derivative of g**4/10 + 22*g**3/15 - 48*g**2 + g - 1174. Factor o(w).
2*(w - 6)*(3*w + 40)/5
Let q(y) be the first derivative of 10*y**6/3 - 22*y**5/5 - 9*y**4 + 40*y**3/3 + 8*y**2 - 18*y - 1908. Find k, given that q(k) = 0.
-1, -9/10, 1
Let k(u) = 5*u - 12. Suppose -11 = -6*a + 13. Let d be k(a). Factor -56*o**3 + 72*o**3 - 2*o**2 - 18*o**2 + d*o - 4*o**4.
-4*o*(o - 2)*(o - 1)**2
Let z(h) be the first derivative of -25/2*h**2 - 1/5*h**5 - 8*h - 32 - 9*h**3 - 11/4*h**4. Suppose z(r) = 0. Calculate r.
-8, -1
Let b(m) be the second derivative of -m**4/3 + 6*m**3 + 44*m**2 - 6*m - 9. Determine o, given that b(o) = 0.
-2, 11
Let m(c) be the second derivative of c**7/49 + 3*c**6/7 - 15*c**5/14 - 155*c**4/14 - 180*c**3/7 - 192*c**2/7 + 5*c - 137. Let m(u) = 0. What is u?
-16, -1, 4
Let u(o) = -48*o - 5182. Let w be u(-108). Factor 3/4*q**w + 6 + 9/2*q.
3*(q + 2)*(q + 4)/4
Let d(n) be the third derivative of -n**6/420 + 13*n**5/210 + 10*n**4/21 - 100*n**3/3 + 6108*n**2. What is g in d(g) = 0?
-7, 10
Find o such that -42*o**4 + 744/5*o + 184/5 - 106/5*o**2 - 8/5*o**5 - 604/5*o**3 = 0.
-23, -2, -1/4, 1
Let h(s) = -78*s**2 - 140*s + 32. Let i be h(-2). Find j such that 2/3*j**3 + i - 1/3*j + 7/6*j**2 = 0.
-2, 0, 1/4
Let k(b) be the second derivative of -3*b**4/4 + 8*b**3 + 2208*b. Suppose k(c) = 0. Calculate c.
0, 16/3
Let b(f) be the first derivative of 2*f**3/9 - 610*f**2/3 + 1214*f + 8867. Factor b(w).
2*(w - 607)*(w - 3)/3
Let y(d) be the first derivative of -d**6/6 + 67*d**5/5 - 639*d**4/2 + 5242*d**3/3 - 6913*d**2/2 + 2883*d - 7338. Find x such that y(x) = 0.
1, 3, 31
Let g be (-5247)/(-18285) + (-2)/(6 - -4). Determine l so that 0*l - 4/23*l**2 + g*l**4 + 2/23 + 0*l**3 = 0.
-1, 1
Let x(h) be the third derivative of -h**5/240 + 11*h**4/96 - h**3 - 2*h**2 - 1060. Factor x(y).
-(y - 8)*(y - 3)/4
Suppose 312*a + 2*a**5 + 86*a**2 - 50*a**4 - 718*a**2 + 356*a**3 - 38*a**4 + 50*a**3 = 0. What is a?
0, 1, 2, 39
Let d(q) be the third derivative of -q**8/420 + 58*q**7/525 + 11*q**6/50 - 89*q**5/75 - 16*q**4/15 + 8*q**3 - 5*q**2 - 129. Let d(g) = 0. What is g?
-2, -1, 1, 30
Find h such that -16*h**2 - 34*h**2 + 48 + 10*h**3 + 124*h + 2*h**4 - 56*h**3 - 78*h = 0.
-1, 1, 24
Let y(j) be the first derivative of j**4/4 - 25*j**3/3 - 43*j**2 + 60*j + 225. Let u be y(28). Factor -1/6*r**u + 0 + 1/6*r + 1/6*r**2 - 1/6*r**3.
-r*(r - 1)*(r + 1)**2/6
Let m(f) = 37*f**2 - 201*f + 3266. Let q(s) = -7*s**2 + 36*s - 653. Let t(z) = 4*m(z) + 21*q(z). Factor t(y).
(y - 59)*(y + 11)
Let y(h) = 7*h**3 + 573*h**2 + 81793*h + 81223. Let u(j) = -17*j**3 - 1147*j**2 - 163585*j - 162445. Let m(p) = 2*u(p) + 5*y(p). Find z such that m(z) = 0.
-285, -1
Factor 1/3*g**2 + 350/3 - 13*g.
(g - 25)*(g - 14)/3
Let o(t) be the first derivative of t**6/15 - t**4/10 + 1318. Factor o(u).
2*u**3*(u - 1)*(u + 1)/5
Let r(q) = 13*q**3 - 21*q**2 - 17*q + 9. Let d(z) = -2*z**3 + 3*z**2 - 3. Let c(n) = -20*d(n) - 5*r(n). Determine y so that c(y) = 0.
-1, -1/5, 3
Let i(j) be the first derivative of j**5/30 - j**4/6 - 11*j**3/9 + j**2/3 + 7*j/2 - 384. Solve i(n) = 0 for n.
-3, -1, 1, 7
Let u(c) be the third derivative of 0*c**3 + 139*c**2 + 0*c - 5/8*c**4 + 1/6*c**5 + 0 + 1/24*c**6. Factor u(w).
5*w*(w - 1)*(w + 3)
Let q(k) be the third derivative of k**6/540 + 11*k**5/90 - 79*k**4/27 + 164*k**3/9 - 9*k**2 - 609. Factor q(u).
2*(u - 6)*(u - 2)*(u + 41)/9
Factor 4/5*j**2 - 8064/5*j + 4064256/5.
4*(j - 1008)**2/5
Factor 152/5*h**2 + 156/5 - 2/5*h**3 + 62*h.
-2*(h - 78)*(h + 1)**2/5
Let b(w) be the third derivative of w**6/72 - 5*w**5/6 + 125*w**4/6 + 157*w**3/6 + 10*w**2. Let s(j) be the first derivative of b(j). Let s(y) = 0. What is y?
10
Suppose 46 - 11*m + 5*m**2 - 116*m - 446 - 63*m = 0. What is m?
-2, 40
Let u(k) be the first derivative of k**6/21 - 8*k**5/35 + 20*k**3/21 - k**2/7 - 12*k/7 + 1171. Find l, given that u(l) = 0.
-1, 1, 2, 3
Factor 440/7 - 4/7*s**3 - 440/7*s**2 + 4/7*s.
-4*(s - 1)*(s + 1)*(s + 110)/7
Let l = -134 + 158. Let o(f) = 93*f**3 - 54*f**2 - 21*f + 6. Let a(j) = -19*j**3 + 11*j**2 + 4*j - 1. Let t(h) = l*a(h) + 5*o(h). What is q in t(q) = 0?
-1, 2/3, 1
Let w = 8967 - 8964. Factor 0*g + 15/7*g**w + 0*g**2 - 3/7*g**5 - 12/7*g**4 + 0.
-3*g**3*(g - 1)*(g + 5)/7
Let x = 114 - 152. Let p = 41 + x. Factor -49/3*l**p + 7*l**2 + 4/3 + 8*l.
-(l - 1)*(7*l + 2)**2/3
Let w be 2 - (-66)/(-27) - (11 - 682/36). Let 6*z + 0 + w*z**4 + 37/2*z**2 + 1/2*z**5 + 39/2*z**3 = 0. What is z?
-12, -1, 0
Let p(o) be the first derivative of -o**8/560 + 11*o**7/280 - o**6/15 - o**5/2 - o**3 - 6*o + 67. Let w(u) be the third derivative of p(u). Solve w(c) = 0.
-1, 0, 2, 10
Let h(w) be the third derivative of -151*w**6/40 + 29*w**5/4 + 3*w**4/4 - 10*w**2 - 287*w. Find n, given that h(n) = 0.
-6/151, 0, 1
Factor 0*m + 32/11*m**4 + 0 - 578/11*m**2 + 1/11*m**5 + 221/11*m**3.
m**2*(m - 2)*(m + 17)**2/11
Let w(z) = 114*z**2 + 5*z + 7. Let r be w(-2). Let p = -453 + r. Factor -8/5*d**2 + 12/5*d + 8/5 - 16/5*d**3 + p*d**4 + 4/5*d**5.
4*(d - 2)*(d - 1)*(d + 1)**3/5
Factor 1/2*r**2 + 259081/2 - 509*r.
(r - 509)**2/2
Let c(d) = 682 - 6*d**2 - 