3*j - 3/8*j**5. Factor c(y).
-3*(y + 2)**2*(5*y + 2)/2
Let g = -27585 + 27587. What is m in -2/3*m**3 - 14/15*m**4 + 4/15 + 2/3*m**g - 4/15*m**5 + 14/15*m = 0?
-2, -1, -1/2, 1
Let p(c) = -12*c**4 - 362*c**3 + 1516*c**2 - 2034*c + 858. Let m(w) = w**4 + 33*w**3 - 138*w**2 + 185*w - 78. Let y(f) = -68*m(f) - 6*p(f). Factor y(r).
4*(r - 13)*(r - 3)*(r - 1)**2
Let j(a) = -a**2 - 22*a - 110. Let n be j(-14). Let k(g) be the second derivative of -8*g + 0 + 5/48*g**4 + 5/8*g**3 - 5/2*g**n. Determine l so that k(l) = 0.
-4, 1
Determine h so that -402*h + 2600*h**2 - 180 - 2774*h**2 + 4*h**3 + 45*h - h**3 = 0.
-1, 60
Let r(d) = d**2 + 199*d + 4053. Let y be r(-23). Suppose -5*m + 5 = 0, 2*m - 2 = l + l. Find v such that 0*v**2 + 0 - 4/9*v**3 + 0*v**4 + l*v + 4/9*v**y = 0.
-1, 0, 1
Let b = -4240 + 38210/9. Let u = 20162/9 + -2238. What is t in -2/9*t**2 - b + u*t = 0?
5
Let i(z) = 30*z**2 + 8*z - 7. Let y be i(-4). Suppose 0 = -3*v + 2*j + y, -5*j + 95 = v - 52. Let -39*l**2 - 18*l + v - 49*l - 38*l - 3*l**3 = 0. Calculate l.
-7, 1
Let z be (-90)/(-48)*(0 + 2). Let s be 11 + -3 + (-148)/(-16) + (-330)/22. Determine d, given that -z*d**2 + s + 3/2*d**3 - 3*d = 0.
-1, 1/2, 3
Let x = -20016 - -40035/2. Suppose 0 + 9/2*b**2 + 9/2*b**3 + x*b**4 + 3/2*b = 0. Calculate b.
-1, 0
Let h(o) be the third derivative of o**6/30 - 17*o**5/15 + 28*o**4/3 - 104*o**3/3 - o**2 - 1021*o. What is z in h(z) = 0?
2, 13
Determine m, given that 2/5*m**4 + 401947272/5*m + 1633932/5*m**2 + 2952/5*m**3 + 37079635842/5 = 0.
-369
Let y(c) = 49*c + 171. Let i be y(-3). Suppose -4*d + 5 = -3. Determine l, given that 194*l**2 - 64*l**d + i - 63*l**2 - 28*l - 63*l**2 = 0.
1, 6
Find z such that 0 + 0*z**2 + 0*z**4 - 4/7*z**5 - 16/7*z + 20/7*z**3 = 0.
-2, -1, 0, 1, 2
Let c = -301 + 31. Let y be (2/4)/(c/(-108)). Suppose 4/5*q**2 + y*q**3 + 2/5 + q = 0. What is q?
-2, -1
Let p(y) be the second derivative of y**5/60 - 31*y**4/18 + 13*y**3/2 + 30*y**2 - 5570*y. Factor p(z).
(z - 60)*(z - 3)*(z + 1)/3
Let s(i) be the second derivative of -i**4/15 - 128*i**3/15 - 96*i**2 + 3672*i. Find k, given that s(k) = 0.
-60, -4
Suppose v + 12 = 6*k + 63, 2*v - 5*k = 46. Suppose 1/7*d**v - 10/7*d**2 + 18/7 + d = 0. What is d?
-1, 2, 9
Determine t so that 198 + 4*t**3 + 197 - 234*t + 184*t**2 - 100*t + 205 - 454*t = 0.
-50, 1, 3
Let h(o) = -12*o**2 + 20*o + 8. Let m(r) = 7*r + 1. Let f(s) = h(s) - 4*m(s). Factor f(d).
-4*(d + 1)*(3*d - 1)
Let k(c) = -9*c**2 + 619*c + 2942. Let f(n) = -6*n**2 + 411*n + 1962. Let x(l) = -14*f(l) + 9*k(l). Determine z, given that x(z) = 0.
-5, 66
Let s(q) be the second derivative of -1/4*q**4 - q - 2*q**3 + 0*q**2 + 49. Let s(b) = 0. Calculate b.
-4, 0
Factor 416*v - 219069 - 6*v**3 + 192*v**2 + 219325 + 24*v**3.
2*(v + 8)*(3*v + 4)**2
Let a(w) be the third derivative of w**7/560 + 369*w**6/80 + 408483*w**5/80 + 50243409*w**4/16 + 18539817921*w**3/16 - 1568*w**2. Factor a(b).
3*(b + 369)**4/8
Suppose -43*v + 1901 - 138 = 0. Suppose v*i + 28 = 110. Factor 2/7*w**4 + 2/7*w**3 + 0 - 2/7*w - 2/7*w**i.
2*w*(w - 1)*(w + 1)**2/7
Let -284/9 + 286/9*v - 2/9*v**2 = 0. Calculate v.
1, 142
Let w(u) be the first derivative of u**6/40 - 61*u**5/20 + 120*u**4 - 450*u**3 - 207*u**2/2 - 185. Let d(j) be the second derivative of w(j). Factor d(h).
3*(h - 30)**2*(h - 1)
Let m(c) be the first derivative of -2*c**5/55 + 95*c**4/22 - 2100*c**3/11 + 40500*c**2/11 - 270000*c/11 + 2882. Factor m(o).
-2*(o - 30)**3*(o - 5)/11
Let d(a) be the second derivative of a**4/3 + 14*a**3 - 260*a**2 - 2065*a. Let d(b) = 0. Calculate b.
-26, 5
Suppose -74 = 63*g - 60*g - 5*f, 3*f = 48. Find b such that -14/3*b**g + 16/3 + 4*b**3 - 4*b - 2/3*b**4 = 0.
-1, 1, 2, 4
Suppose 4627*y - 7*y**4 + 13*y**4 - 945*y**2 - 9*y**4 + 165*y**3 - 486 - 6*y**4 - 2872*y = 0. Calculate y.
1/3, 3, 6, 9
Let n(o) be the first derivative of 0*o**2 - 27 + 0*o**4 + 1/40*o**5 + 0*o**3 + 37*o. Let q(t) be the first derivative of n(t). Factor q(b).
b**3/2
Let n(l) be the third derivative of -47*l + 7/1140*l**6 + 8/285*l**5 + 0*l**3 + 0 - l**2 + 1/57*l**4. Let n(u) = 0. What is u?
-2, -2/7, 0
Let f(u) be the first derivative of -12*u**5/5 + 8*u**4 + 860*u**3/3 + 128*u**2 - 560*u + 1214. Let f(q) = 0. What is q?
-7, -1, 2/3, 10
Let r(h) be the second derivative of 19/4*h**4 + 3/20*h**5 + 0 + 243/2*h**2 + 67*h + 99/2*h**3. Factor r(k).
3*(k + 1)*(k + 9)**2
Suppose b = 2*t - 10, 3*t + 8*b - 10*b - 14 = 0. Let l be (1/t)/((-76)/40 + 2). Determine m, given that 5/3*m**2 + l*m + 0 = 0.
-1, 0
Suppose 2*l - 11*r - 16 = -7*r, l + 2*r + 4 = 0. Suppose -3 = u, b = 5*b - l*u - 22. Let -2*o - 2/3 + 4/3*o**3 + 2*o**b + 2/3*o**5 - 4/3*o**2 = 0. Calculate o.
-1, 1
Suppose -12 - 18 = -10*n. Suppose -92 = -n*a + 2*u - 81, -5*a + 14 = u. Find d such that -3/8*d**5 + 0*d + 0 + 0*d**2 + 3/8*d**a + 0*d**4 = 0.
-1, 0, 1
Let c(t) be the second derivative of -1/40*t**6 - 273/80*t**5 - 2697/16*t**4 + 0 - 24025/8*t**3 + 89373/4*t**2 - 250*t. Factor c(v).
-3*(v - 2)*(v + 31)**3/4
Let v be -11 - (62/(-248))/(1/54). Let w be (-7)/(-4) - (-2)/8. Factor -2 - 1/2*c**3 - v*c**w - 4*c.
-(c + 1)*(c + 2)**2/2
Factor -1/3*r**3 + 415/3*r - 34/3*r**2 - 1100/3.
-(r - 5)**2*(r + 44)/3
Let k be (-12)/(-3)*(-567)/(-3402). Factor 0 - k*f**2 - 2*f.
-2*f*(f + 3)/3
Let y(l) be the third derivative of -l**5/12 - 255*l**4/4 + 1545*l**3/2 + 798*l**2. Factor y(j).
-5*(j - 3)*(j + 309)
Let j(a) be the second derivative of 2*a**6/15 + 24*a**5/5 + 55*a**4 + 484*a**3/3 - a - 2657. Factor j(p).
4*p*(p + 2)*(p + 11)**2
Let m(r) be the first derivative of -r**5/30 + r**4 - 11*r**3/3 + 18*r**2 + 75. Let p(a) be the second derivative of m(a). Factor p(c).
-2*(c - 11)*(c - 1)
Let x = 387/22 - 2897/165. Let k(f) be the second derivative of 0 + 3*f**2 - 11/6*f**3 + 1/4*f**4 - x*f**6 + 3/20*f**5 + 25*f. Determine z, given that k(z) = 0.
-2, 1, 3
Let f(j) = -4*j**2 + 714*j - 750. Let n(i) = -17*i**2 + 2857*i - 3020. Let d(l) = -9*f(l) + 2*n(l). Solve d(s) = 0 for s.
1, 355
Let k(y) = -7*y**2 + 7*y + 54. Let h(c) = 4*c**2 - 4*c - 26. Let m(d) = 5*h(d) + 3*k(d). Let a be m(6). Factor 1/9*g**3 + 0*g**a - 1/3*g - 2/9.
(g - 2)*(g + 1)**2/9
Let h(x) be the second derivative of -x**4/42 - 716*x**3/21 - 128164*x**2/7 + 310*x. Suppose h(a) = 0. Calculate a.
-358
Let x(d) be the first derivative of 0*d**2 - 2/39*d**3 + 1/26*d**4 - 1/195*d**6 + 0*d**5 - 30*d - 48. Let y(l) be the first derivative of x(l). Factor y(k).
-2*k*(k - 1)**2*(k + 2)/13
Let p be (-3 - -5)*2/5. Let q be 5/(10/(-3))*24/(-60). Suppose -q*c**2 + p - 4/5*c = 0. What is c?
-2, 2/3
Let y = 731 - 682. Let s be 2/(-16) - 5*y/(-840). Suppose 16/3*c + s*c**4 - 64/3 + 4*c**2 - 5/3*c**3 = 0. What is c?
-2, 4
Let p = 90680 - 90680. Factor 4/13*m - 2/13*m**2 + p.
-2*m*(m - 2)/13
Let n be (-1)/(2*7/(-84)). Factor 100*z**3 - 300*z - 910*z + 385*z**2 + n*z**4 - z**4.
5*z*(z - 2)*(z + 11)**2
Let y(p) be the first derivative of -p**4/2 - p**3 + 2*p**2 + 8*p - 58. Let m be y(-2). Solve -75*w**3 + 125/3*w**m - 130*w**2 - 8 - 172/3*w = 0 for w.
-2/5, 3
Factor 7804480000*k**3 + 20184000*k**2 - 34 + 9941*k - 32 + 7459*k + 71.
5*(1160*k + 1)**3
Let s = -1710559/15 + 114045. Factor 1682/15 + 2/15*q**2 - s*q.
2*(q - 29)**2/15
Let n be (-898)/(-60) - 44952/9365. Factor n*h**3 + 6*h + 0 - 7/3*h**4 - 14*h**2 + 1/6*h**5.
h*(h - 6)**2*(h - 1)**2/6
Let x(t) be the first derivative of 0*t**5 + 0*t**2 - 2/15*t**3 + 0*t - 101 - 3/20*t**4 + 1/30*t**6. Factor x(o).
o**2*(o - 2)*(o + 1)**2/5
Suppose 299 + 241 = 18*w. Factor -3*a**5 - 269 - w*a**4 - 75*a**3 + 269.
-3*a**3*(a + 5)**2
Factor -1896/7*n**2 + 2/7 - 944/7*n.
-2*(2*n + 1)*(474*n - 1)/7
Let z(p) = p**2 - 7*p + 11. Let s be z(6). Suppose -75 = -3*n - s*c, n = -3*c - 0 + 25. Let 6*d + 2 + 23*d**3 + 2 - n*d**3 = 0. What is d?
-1, 2
Let g(x) be the third derivative of -x**6/15 - 167*x**5/15 - 122*x**4/3 + 328*x**3/3 - 82*x**2 - 2*x - 3. Factor g(f).
-4*(f + 2)*(f + 82)*(2*f - 1)
Solve 37*c + 15 + 6*c**3 + 86/3*c**2 - c**4 - 1/3*c**5 = 0 for c.
-3, -1, 5
Suppose 3*a - 2*l = -0*l - 332, 0 = -2*l + 2. Let n = a - -188. Solve 36 - 30*r - 3*r**2 - n - 33 = 0 for r.
-5
Let d(r) be the first derivative of -3/2*r**2 + 0*r + 2/27*r**4 - 1/270*r**5 + 7 + 1/3*r**3. Let o(z) be the second derivative of d(z). Factor o(t).
-2*(t - 9)*(t +