**2 + 0 + 1/5*d**3 + 427/5*d.
d*(d - 61)*(d - 7)/5
Let c(u) = 7*u**3 - 46*u**2 + 35*u + 92. Let s(h) = -225*h**3 + 1470*h**2 - 1120*h - 2945. Let d(x) = -65*c(x) - 2*s(x). Suppose d(b) = 0. Calculate b.
-1, 2, 9
Factor -81*a + 513/8*a**2 + 81/2 - 3/8*a**5 - 201/8*a**3 + 39/8*a**4.
-3*(a - 3)**3*(a - 2)**2/8
Let m(h) be the third derivative of 0*h**4 + 1/150*h**5 - 3/2*h**3 + 0 + 0*h - 1/900*h**6 - 8*h**2. Let g(p) be the first derivative of m(p). Factor g(q).
-2*q*(q - 2)/5
Let w = 1159274 + -1159256. Solve 128/7 - 2/7*a**4 - 32/7*a**3 + 32/7*a - w*a**2 = 0.
-8, -1, 1
Let i(g) be the third derivative of g**6/30 + g**5/15 - 2*g**4 + 1321*g**2 + 2*g. Find a such that i(a) = 0.
-4, 0, 3
Let s = -20715 + 20715. Factor -12*u + 5/2*u**2 + s + 1/2*u**3.
u*(u - 3)*(u + 8)/2
Let o(b) be the third derivative of -b**6/90 - 22*b**5/5 - 726*b**4 + 7*b**3/3 + 54*b**2. Let g(q) be the first derivative of o(q). Factor g(p).
-4*(p + 66)**2
Let k(i) = 161*i**2 + 135*i - 420. Let x(r) = -188*r**2 - 134*r + 421. Let n(y) = 7*k(y) + 6*x(y). Factor n(w).
-(w - 138)*(w - 3)
Factor -2/7*w**3 - 452/7*w + 62/7*w**2 + 96.
-2*(w - 21)*(w - 8)*(w - 2)/7
Let t be (-6 - 0)/(4/(-16)*7) + (-846)/1974. What is q in -1 + 2*q**t - 39/8*q**4 - 3/4*q + 47/8*q**2 - 5/4*q**5 = 0?
-4, -1, -2/5, 1/2, 1
Let i be (33 - 26)*5/7. Suppose 0 = i*s + 2*z - 37, 0*z = s + 3*z - 10. Factor 4*v**2 + 5*v + v**3 + s*v - 3*v - 5*v.
v*(v + 2)**2
Solve -15*x**2 - 144 + 3*x**4 - 135*x - 83725*x**3 + 36 + 83740*x**3 = 0 for x.
-4, -3, -1, 3
Suppose 180*o = 168*o + 708. Suppose 62 = z + o. Solve -1/2*y**z + 0 + y**2 + 3/2*y = 0.
-1, 0, 3
Let l(z) be the third derivative of -z**5/300 - 583*z**4/60 - 339889*z**3/30 + 1650*z**2. Factor l(m).
-(m + 583)**2/5
Suppose 38*b - 1208 - 3200 = 0. Suppose 0 = -41*v + 89 + b. Factor -2/7*r + 2/7*r**v + 0 + 0*r**3 + 4/7*r**2 - 4/7*r**4.
2*r*(r - 1)**3*(r + 1)/7
Let s(l) = -13*l**2 + 5*l - 546. Let v(i) = -3*i**2 - 2*i - 136. Let t(q) = -2*s(q) + 9*v(q). Factor t(x).
-(x + 6)*(x + 22)
Let r = -257 - -282. Let s = -6 + 8. Factor -70*i + 2 + 7*i**s + r*i + 36*i.
(i - 1)*(7*i - 2)
Suppose -5*u + 2*s = -0*u - 15, -4*s = -u + 3. Factor -6*g**u + 14*g + 0*g**3 - 4*g**2 + 10*g**3 - 38*g.
4*g*(g - 3)*(g + 2)
Let d(a) be the second derivative of -2*a**6/5 + 166*a**5/5 - 2791*a**4/3 + 8672*a**3 - 8064*a**2 - 2*a + 115. Solve d(t) = 0.
1/3, 7, 24
Determine z so that 56/9 - 34/9*z**2 + 16/9*z + 2/3*z**3 = 0.
-1, 2, 14/3
Let v(k) be the first derivative of -k**6/60 - 2*k**5/5 + 13*k**4/12 - 20*k**2 + 2*k - 7. Let q(w) be the second derivative of v(w). Factor q(c).
-2*c*(c - 1)*(c + 13)
Let o(f) be the first derivative of 2/5*f**3 + 0*f**2 - 33/20*f**4 - 48 + 21/10*f**6 + 24/25*f**5 + 0*f. Let o(w) = 0. Calculate w.
-1, 0, 2/7, 1/3
Factor 160/3 - 344/9*o + 56/9*o**2 - 2/9*o**3.
-2*(o - 20)*(o - 6)*(o - 2)/9
Let f(y) = 2*y**3 - 587*y**2 - 1483*y - 888. Let c(g) = -22*g**3 + 5865*g**2 + 14830*g + 8880. Let m(v) = -2*c(v) - 21*f(v). Factor m(d).
(d + 1)*(d + 296)*(2*d + 3)
Let -11*a**2 - 45*a**2 - 40*a - 10*a**3 - 28*a**4 + 14*a**3 - 18*a**3 + 30*a**4 = 0. Calculate a.
-2, -1, 0, 10
Let -23*r**4 - 108*r**5 - 112*r**5 - 560*r**3 + 216*r**5 + 111*r**4 + 800*r**2 = 0. What is r?
0, 2, 10
Let a(m) be the first derivative of 2*m - 3/2*m**4 + 3*m**2 - 2/3*m**3 + 40. Suppose a(c) = 0. What is c?
-1, -1/3, 1
Let o be 12/6*-2*9/(-3). Factor -3*v**3 + o*v**2 - 578 + 284 + 264 + 21*v.
-3*(v - 5)*(v - 1)*(v + 2)
Let k = -408 - -410. Let m(c) be the second derivative of 0*c**k + 1/15*c**5 + 0*c**3 + 0 + 4/9*c**4 + 9*c. Factor m(r).
4*r**2*(r + 4)/3
Let k(c) be the second derivative of 0*c**5 - 1/21*c**7 + 42 + 1/3*c**3 + 0*c**2 + 2/15*c**6 + 2*c - 1/3*c**4. Suppose k(q) = 0. Calculate q.
-1, 0, 1
Let u(r) = 6*r**3 - 152*r**2 - 1812*r - 5579. Let a(l) = 5*l**3 - 150*l**2 - 1812*l - 5572. Let s(y) = -5*a(y) + 4*u(y). Let s(b) = 0. Calculate b.
-6, 154
Let k be (-46)/(-8) + 32/(-16)*50/20. Factor 57/2*d**2 + k*d**3 + 219/4*d + 27.
3*(d + 1)**2*(d + 36)/4
Let z(m) = -18*m**3 - 6*m**2 + 18*m - 6. Let o(p) = -p**4 + 35*p**3 + 11*p**2 - 35*p + 10. Let i(t) = -3*o(t) - 5*z(t). Let i(k) = 0. Calculate k.
-1, 0, 1, 5
Let n = 91195 - 91191. Find r such that 0*r**2 + 5/2*r**3 + r**n - 5/2*r - 1 = 0.
-2, -1, -1/2, 1
Let v(z) be the first derivative of 0*z + 95 - 1/2*z**6 - 6/5*z**5 + 9/4*z**4 + 4*z**3 - 6*z**2. Determine o so that v(o) = 0.
-2, 0, 1
Let f(o) = -67*o**3 + o. Let h be f(-1). Let h*a**2 - 26*a + 16*a + 21*a**3 + 9*a**2 - 80*a**3 - 76*a**3 = 0. What is a?
0, 2/9, 1/3
Suppose 3*w - 4 + 4 = 0. Suppose -5*z - z + 18 = w. Determine u so that 3*u**5 + 0*u**3 + 6*u**2 + 18*u**4 - 12*u**4 + 6*u**5 - 21*u**z = 0.
-2, 0, 1/3, 1
Let i(t) be the second derivative of 2*t**6/15 + 5*t**5/2 + 41*t**4/3 + 35*t**3/3 - t + 1063. Factor i(m).
2*m*(m + 5)*(m + 7)*(2*m + 1)
Suppose 393*f - 385*f = -32. Let p be f + (-376)/(-78) - 6/9. Factor 4/13 - p*w**2 + 2/13*w.
-2*(w - 2)*(w + 1)/13
Let l(q) be the second derivative of -125*q**3/3 + 1440*q**2 + q + 16. Let d(i) = -i**2 + 248*i - 2880. Let j(s) = -5*d(s) - 4*l(s). Factor j(m).
5*(m - 24)**2
Suppose 0 = 5*y - 20, -2*k - 1 = 2*y - 13. Suppose 5*g + 4*f = -5, -k*f = -7*f - 25. Factor -1 - t - 2*t**g + t**2 - 2*t**3 + 5*t**3.
(t - 1)*(t + 1)**2
Let -27*m**2 + 412*m**4 - 11*m**3 - 229*m**2 - 90*m - 408*m**4 - 550*m + 3*m**3 = 0. What is m?
-4, 0, 10
Determine r, given that -21*r + 82*r**2 + 84*r**2 - 143*r + 83*r**2 - 245*r**2 = 0.
0, 41
Suppose 332/7*w**3 - 86000/7*w - 118336/7 - 12744/7*w**2 - 2/7*w**4 = 0. What is w?
-4, -2, 86
Determine v, given that 16/3*v**3 + 16/3*v**2 - 2/3*v**4 - 64*v - 96 = 0.
-2, 6
Let b = -107 + 109. Factor 24*j**3 - 13*j**2 + 27*j**2 - 10*j**4 - 46*j**b + 6*j**4.
-4*j**2*(j - 4)*(j - 2)
Determine a so that 504*a - 1/3*a**2 - 190512 = 0.
756
What is j in 2736*j + 2734 + 1/2*j**3 + 1371/2*j**2 = 0?
-1367, -2
Factor 848 - 244*q**2 + 499*q - 249*q**2 + 489*q**2 - 83*q.
-4*(q - 106)*(q + 2)
Suppose 12*y = 13*y + 4. Let o be (-44)/66*18/y. Determine s so that 22/7*s**2 - 24/7*s**o - 4/7*s + 0 = 0.
0, 1/4, 2/3
Let -1255*z + 93*z**2 + 38 - 184*z**2 + 86*z**2 + 1222 = 0. Calculate z.
-252, 1
Let y be -5 - (1 - -3*(-60)/27). Let u(k) be the first derivative of -8*k + y*k**3 - 1/2*k**4 + 4*k**2 - 1. Determine i so that u(i) = 0.
-2, 1, 2
Let s be 1680/552 + (-4)/184*2. Suppose -f + 4*f = 0. Solve 0 + 1/4*h + f*h**2 - 1/4*h**s = 0.
-1, 0, 1
Let t = -26 - 11. Let h = t + 39. Factor 50*g - 25*g + 2 - 21*g - h*g**4 - 4*g**3.
-2*(g - 1)*(g + 1)**3
Let j be (-849)/(-15) + (-5250)/350. What is p in -j*p**2 - 32/5 - 48/5*p**4 - 152/5*p**3 - 4/5*p**5 - 132/5*p = 0?
-8, -1
Let i(u) be the second derivative of -u**6/6 - 19*u**5/4 + 725*u**4/6 - 2*u - 5866. Solve i(w) = 0.
-29, 0, 10
Factor -24 - 2/9*r**2 - 112/9*r.
-2*(r + 2)*(r + 54)/9
Let s = 169 - 135. Factor -15*b**2 - 4*b + s*b**4 + 15*b**3 + 8*b + b - 39*b**4.
-5*b*(b - 1)**3
Let c(b) = 6*b**2 + 4 + 40*b + b**3 - 40*b. Let a be c(-6). Find n, given that -7*n**2 - n**4 + 5*n**2 - 5*n + 4 + a*n**3 - n**2 + n = 0.
-1, 1, 2
Suppose -5*j + 4*u + 35 = 9*u, 4*j = -6*u + 38. Solve j*f**2 - 12*f**2 - 36*f**4 + 8*f**3 - 5*f**5 + 36*f**4 + 7*f**3 = 0.
-2, 0, 1
Let y = -47113 + 141346/3. Factor -y*r**2 + 0*r + 0 + 1/3*r**4 + 2*r**3.
r**2*(r - 1)*(r + 7)/3
Determine j so that -266*j**2 + 2137 - 5917 + 5*j**3 - 4380*j - 284*j**2 - 45*j**2 = 0.
-6, -1, 126
Let m(w) be the third derivative of -5*w**6/12 - 329*w**5/30 + 149*w**4/6 + 56*w**3/3 - 2*w**2 - 573*w. Factor m(q).
-2*(q - 1)*(q + 14)*(25*q + 4)
Let o(a) = -39*a + 1989. Let h be o(51). Determine x so that 2*x**4 + 8/5*x - 48/5*x**3 + h + 6*x**2 = 0.
-1/5, 0, 1, 4
Let z(k) be the first derivative of -k**3/3 + 93*k**2 - 728*k + 4414. Suppose z(c) = 0. What is c?
4, 182
Let n be ((-27)/12 - -3)/((-13)/(-600)). Let p = n + -3137/91. Let -p*y**2 - 1/7 + 2/7*y = 0. What is y?
1
Let j(n) be the first derivative of 26/7*n**2 - 124 + 2/21*n**3 + 50/7*n. Factor j(a).
2*(a + 1)*(a + 25)/7
Factor 5489*k - 6304*k + 35*k**2 + 6420 + 23295*k.
5*(k + 642)*(7*k + 2)
Let r(v) = v**3 - 58*v**2 - 159*v + 228. Let s(u) = -12*u**3 + 636*u**2 + 1749*u - 2508. Let b(f) = 45*r(f) + 4*s(f). Factor b(p).
-3*(p - 1)*(p + 4)*(p + 19)
Let b(v) be the third derivative of -7*v**6/160 + 61*v*