)/(-130). Suppose -28/13*o**2 + b*o + 2/13*o**3 + 256/13 = 0. What is o?
-2, 8
Find r such that 243 - 3/2*r**2 + 153/2*r = 0.
-3, 54
Find m, given that 288/5*m**4 - 6/5*m + 4/5 - 464/5*m**3 - 222/5*m**2 = 0.
-1/4, 1/9, 2
Factor -58 - 46*p**2 - 208*p - 710 + 88*p**2 - 46*p**2.
-4*(p + 4)*(p + 48)
Suppose 44 = 3*w + 11*c - 15*c, 2*c + 22 = 3*w. Suppose -4/3*s - 2*s**2 - 2/3*s**3 + w = 0. What is s?
-2, -1, 0
Let k(m) be the first derivative of 2*m**3/3 - 26*m**2 + 210*m + 319. Factor k(j).
2*(j - 21)*(j - 5)
Let p(x) = x**3 - 3*x**2 + 298*x - 894. Let q be p(3). Factor 1/4*v**2 + 1/2*v + q.
v*(v + 2)/4
Let c be 6 + 2 + -4 + 0. Find o such that -6*o**4 - 19*o**4 - 6*o**3 + 28*o**c = 0.
0, 2
Factor -90*c**2 - 4*c**4 + 13*c**3 + 12*c - 2*c**4 - 52*c**3 + 3*c**4 + 120.
-3*(c - 1)*(c + 2)**2*(c + 10)
Let s(r) be the second derivative of -r**6/5 - 1369*r**5/10 - 26068*r**4 - 17328*r**3 - 23*r - 4. Factor s(h).
-2*h*(h + 228)**2*(3*h + 1)
Let v(f) be the first derivative of 0*f - 2/9*f**3 - 11/2*f**2 - 1/180*f**5 - 13 + 5/72*f**4. Let r(s) be the second derivative of v(s). What is o in r(o) = 0?
1, 4
Let s(h) be the first derivative of 0*h**2 - 23 + 1/48*h**4 + 16*h - 5/24*h**3. Let b(x) be the first derivative of s(x). What is o in b(o) = 0?
0, 5
Suppose -47 + 231 - 3784*h - 396 - 12*h**2 - 1048 = 0. Calculate h.
-315, -1/3
Let m(g) be the third derivative of 0 - 3*g + 12*g**2 + 0*g**6 + 1/105*g**7 + 4*g**3 - 3/10*g**5 - 1/3*g**4. Factor m(q).
2*(q - 3)*(q - 1)*(q + 2)**2
Let y(t) be the third derivative of t**6/480 + 13*t**5/40 + 595*t**4/32 + 1225*t**3/3 - 150*t**2. Solve y(x) = 0 for x.
-35, -8
Suppose 5*u = -3*o + 65, -3*u = u - 3*o - 52. Let q(t) = -t**3 + 12*t**2 + 13*t + 3. Let p be q(u). Let -41*x - 3*x**2 + 8*x**2 + 45*x + x**p = 0. Calculate x.
-4, -1, 0
Let y(c) = 2*c**4 - 20*c**3 - 34*c**2 + 20*c + 22. Suppose 0*g = -5*g + 5. Let p(d) = -2*d**2. Let x(n) = g*y(n) - 5*p(n). Let x(k) = 0. What is k?
-1, 1, 11
Determine p so that -2/19*p**3 + 2/19*p - 20/19*p**2 + 20/19 = 0.
-10, -1, 1
Let o(n) be the first derivative of -4*n**5/5 + 2338*n**4 - 5456884*n**3/3 - 5470920*n**2 - 5475600*n - 5704. Factor o(s).
-4*(s - 1170)**2*(s + 1)**2
Suppose 79*q - 24 = -112*q + 549. Solve 0 + 21/4*h**q - 51/4*h**2 + 6*h**4 + 3/2*h = 0.
-2, 0, 1/8, 1
Let q(r) be the third derivative of -r**7/35 - 13*r**6/60 - r**5/15 + 2*r**4/3 + 5*r**2 + 643. Factor q(u).
-2*u*(u + 1)*(u + 4)*(3*u - 2)
Let v be (((-464)/24)/2)/((-2)/(-30)). Let o be 44/20 + 87/v. Determine y, given that -18/5*y**2 + 2/5*y**4 + 22/5*y + 2/5*y**3 - o = 0.
-4, 1
Suppose 0 = -3*q + 4*i - 56 + 121, 13 = -5*q - 2*i. Solve 0*y**4 - 1/3*y**5 - y + 2/3*y**2 - 2/3 + 4/3*y**q = 0 for y.
-1, 1, 2
Let t(m) be the second derivative of -m**5/5 - 10*m**4 - 166*m**3/3 - 108*m**2 + 1418*m. Factor t(z).
-4*(z + 1)*(z + 2)*(z + 27)
Factor -3*q**2 + 8*q**2 - 1069 - q**2 - 195*q - 281 + q**2.
5*(q - 45)*(q + 6)
Let y(d) be the first derivative of d**4/4 - 164*d**3 + 30258*d**2 - 9493. Suppose y(t) = 0. What is t?
0, 246
Let m be (-612)/2040 + 29/80. Let o(j) be the first derivative of -1/12*j**3 + 1/24*j**6 - m*j**4 + 0*j + 1/20*j**5 + 0*j**2 - 19. Factor o(r).
r**2*(r - 1)*(r + 1)**2/4
Suppose 56*z - 53*z + o = -4, 0 = z - 3*o - 42. What is d in -200/3*d + 38/3*d**z - 160/3*d**2 + 0 - 2/3*d**4 = 0?
-1, 0, 10
Let f(y) = -y**3 + 23*y**2 + 10*y - 236. Let t be f(23). Let g be t/7 - 5472/(-896). Determine l, given that 21/4*l**4 - 3/2*l + 3/2*l**3 - g*l**2 + 0 = 0.
-1, -2/7, 0, 1
Let f be (-488)/1952 + 14*(0 - 10/(-48)). Let s(y) be the first derivative of f*y - 2/9*y**3 + y**2 + 8. Factor s(q).
-2*(q - 4)*(q + 1)/3
Let q(j) be the second derivative of j**4/21 + 2516*j**3/21 - 6*j + 258. Factor q(g).
4*g*(g + 1258)/7
Let i be (13604/98629)/(6/29). Let -58/3*k + 56/3 + i*k**2 = 0. What is k?
1, 28
Determine d so that 372/5*d - 3*d**3 + 108/5 + 249/5*d**2 = 0.
-1, -2/5, 18
Find y, given that 45491 - 2*y + 240*y**2 - 45531 - 2*y = 0.
-2/5, 5/12
Let t = 41844/3731 + -2998/287. Solve 34/13*l**2 - 32/13*l + 38/13*l**3 - 24/13 - 6/13*l**5 - t*l**4 = 0 for l.
-3, -1, -2/3, 1, 2
Let y = 348 - 348. Let q be y + (5 - 287/63). Factor 2/9 + q*c + 2/9*c**2.
2*(c + 1)**2/9
Let t(c) be the third derivative of c**7/945 - 139*c**5/270 - 65*c**4/18 + c**2 - 889*c + 2. What is o in t(o) = 0?
-10, -3, 0, 13
Factor 71697*k**2 + 0*k**5 - 21848*k**3 + 19073*k**2 - 2*k**5 - 91760*k - 7422*k**3 + 30752 - 490*k**4.
-2*(k - 1)**3*(k + 124)**2
Let f be (-8)/21*(2408/84 - 45). Find o, given that 8/9*o + 6*o**4 - 118/9*o**3 + 0*o**2 + f*o**5 + 0 = 0.
-2, -1/4, 0, 2/7, 1
Let r(b) = -30*b**3 - 247*b**2 - 994*b. Let q(h) = -167*h**3 - 1234*h**2 - 4972*h. Let g(m) = -2*q(m) + 11*r(m). Factor g(v).
v*(v - 66)*(4*v + 15)
Let v(c) be the first derivative of c**7/7140 + c**6/3060 + 16*c**3 + c + 203. Let z(m) be the third derivative of v(m). Factor z(s).
2*s**2*(s + 1)/17
Let c(u) be the third derivative of 0*u - 20/3*u**3 + 0 + 1/15*u**5 + 3/2*u**4 + 20*u**2. Factor c(g).
4*(g - 1)*(g + 10)
Suppose 0 = -2*c + 2*h - 464, 4*c + 0*h - 3*h + 929 = 0. Let v = c - -701/3. Solve -2/9*s**4 + 0 + 2/9*s + v*s**3 - 2/3*s**2 = 0 for s.
0, 1
Let r be ((-36)/30)/((10/25)/(-1)). Suppose 4*a - r*i = 2, 4*i = 20 - 12. Determine g so that 2*g**3 + 4/3 - 2/3*g - 8/3*g**a = 0.
-2/3, 1
Let u(g) be the second derivative of 545*g**4/78 + 1634*g**3/39 - 3*g**2/13 + 89*g - 23. Factor u(m).
2*(m + 3)*(545*m - 1)/13
Let p = 6 - -14. Suppose -6*d = -10*d + p. Suppose -7*j**3 - 4*j - 23*j**4 - 12*j**3 - 17*j**2 + 4 + d*j**5 + 54*j**3 = 0. What is j?
-2/5, 1, 2
Suppose u - 6 = h, u = -3*h - h - 14. Suppose -2*x + 12 = u*x. Suppose -23*q**3 - 12*q**5 - 21*q**2 - 39*q**4 - 3*q + 3*q**x - 25*q**3 = 0. What is q?
-1, -1/4, 0
Factor 13 - 22*z + 107*z**2 - 109*z**2 - 23 - 15 - 35.
-2*(z + 5)*(z + 6)
Let p(n) = n**2 - 3*n - 6. Let g(j) = -25*j - 12 - 14*j + 34*j + 2*j**2. Let a(v) = -2*g(v) + 5*p(v). Factor a(y).
(y - 6)*(y + 1)
Let l(w) be the first derivative of w**5/20 - 27*w**4/2 + 3124*w**3/3 - 11232*w**2 + 43264*w - 3464. Factor l(m).
(m - 104)**2*(m - 4)**2/4
Let f(c) = 7*c**2 - 1546*c + 210675. Let x(s) = -8*s**2 + 1535*s - 210675. Let t(k) = 5*f(k) + 4*x(k). Determine y, given that t(y) = 0.
265
Let t = 38573/24 + -1607. Let g(z) be the second derivative of 1/120*z**6 + 1/168*z**7 + 8*z - 3/8*z**2 + t*z**3 + 1/24*z**4 + 0 - 3/40*z**5. Factor g(k).
(k - 1)**3*(k + 1)*(k + 3)/4
Determine f, given that -64/13*f**3 + 62/13*f + 2/13*f**5 - 4/13*f**2 + 32/13 - 28/13*f**4 = 0.
-1, 1, 16
Let n(z) be the second derivative of 1/2*z**2 + 50*z + 0 - 7/12*z**3 - 1/6*z**4. Factor n(r).
-(r + 2)*(4*r - 1)/2
Let j(d) be the third derivative of -d**5/60 + 21*d**4/4 - 125*d**3/6 + 551*d**2. Factor j(k).
-(k - 125)*(k - 1)
Factor -3339/2*r**2 - 49/2*r**3 - 27588*r + 29282.
-(r - 1)*(7*r + 242)**2/2
Let i(o) be the third derivative of -2*o - 4/69*o**4 - 1/1380*o**6 - 1/69*o**5 + 0*o**3 + 0 - 58*o**2. Factor i(w).
-2*w*(w + 2)*(w + 8)/23
Let k be (-3)/6 - 65/(-10). Suppose 5*i = -2*t + k, -5*t = 5*i - 6*i + 12. Factor 2/7*u**i + 2/7*u - 4/7.
2*(u - 1)*(u + 2)/7
Let l(p) = -28*p**3 - 32*p**2 - 434*p - 736. Let i(o) = 61*o**3 + 65*o**2 + 869*o + 1472. Let h(t) = -6*i(t) - 13*l(t). Factor h(r).
-2*(r - 23)*(r + 2)*(r + 8)
Let w(l) = 11*l**3 - 29*l**2 + 5*l + 32. Let v(r) = 2*r**3 - 2*r**2 - r - 4. Let d(h) = 7*v(h) - w(h). Factor d(s).
3*(s - 2)*(s + 2)*(s + 5)
Let d = -19317 + 965851/50. Let r(v) be the second derivative of 0 - d*v**6 + 9*v + 0*v**2 + 3/50*v**5 + 0*v**3 + 0*v**4. Factor r(n).
-3*n**3*(n - 2)/5
Let c(o) be the second derivative of o**4/3 + 19*o**3/3 + 15*o**2 + 18*o. Let m(v) = 4*v**2 + 39*v + 29. Let r(x) = -3*c(x) + 2*m(x). Factor r(n).
-4*(n + 1)*(n + 8)
Let m = 404536 - 404536. Let l = 10 - 8. Factor 0*x - 2/7*x**3 - 4/7*x**l + m.
-2*x**2*(x + 2)/7
Let u be 1240/(-92) - (-30 - 3 - -19). Factor 26/23 + 14/23*a - u*a**2.
-2*(a + 1)*(6*a - 13)/23
Let k(w) = -w**4 - 6*w**3 + 2*w. Let v(j) = 4*j**4 + 30*j**3 + 13*j**2 - 22*j. Let s(b) = 5*k(b) + v(b). Determine q so that s(q) = 0.
-4, 0, 1, 3
Let h(l) be the third derivative of l**6/90 - l**5/3 + 25*l**4/6 - 37*l**3/2 - 4*l**2. Let v(n) be the first derivative of h(n). Factor v(a).
4*(a - 5)**2
Suppose 4 = -r - 5*d, 655*r + 5*d = 653