6/5*p**3 + 8/5*p**2 - z*p**4 - 6/5*p.
-(p - 7)*(p - 1)*(p + 1)**2/5
Suppose -468 = b - 249. Let k = -1527/7 - b. Suppose -k*h**2 + 0 + 0*h + 2/7*h**3 = 0. What is h?
0, 3
Suppose -3*b - 9 = 0, 5*b + 1 + 14 = 7*j - 3*j. Solve 1/3*u**5 - 2*u**3 + 0*u**2 + 0*u + j + 5/3*u**4 = 0 for u.
-6, 0, 1
Let j(s) be the third derivative of s**5/12 + 25*s**4/3 + 330*s**3 + 2*s**2 + 44. Find k, given that j(k) = 0.
-22, -18
Suppose 70*u = 275 - 135. Let m(d) be the third derivative of 0 + 7/150*d**5 - 10*d**u + 0*d**3 - 1/30*d**4 - 1/60*d**6 + 0*d. Factor m(q).
-2*q*(q - 1)*(5*q - 2)/5
Let o(b) = b**3 + 9*b**2 + 9*b + 13. Suppose -7 = 2*i + 9. Let c be o(i). Factor 32*a**2 - 5 + c - 34*a**2.
-2*a**2
Let o be (-11)/77*(5 + -5). Let n(r) be the second derivative of 16*r + 7/120*r**5 - 1/2*r**2 + 13/36*r**4 + o + 13/36*r**3. Let n(z) = 0. What is z?
-3, -1, 2/7
Factor -47*z**3 + 4*z - 2*z**2 - 23 - 8*z + 25*z**2 + 3*z + 48*z**3.
(z - 1)*(z + 1)*(z + 23)
Suppose -3*i + 5*m + 18 = -8, 9 = 2*i + 5*m. Factor -32*f + 44 + 0*f**2 + 84 - i*f**2 + f**2 + 2*f**3 - 2*f**2.
2*(f - 4)**2*(f + 4)
Factor -4320*n**2 - 4321*n**2 + 8128*n - 4129024 + 8637*n**2.
-4*(n - 1016)**2
Let t(r) be the second derivative of -r**4/18 - 349*r**3/9 - 116*r**2 + 440*r - 1. Factor t(l).
-2*(l + 1)*(l + 348)/3
Let w be 1 - (-142)/(-266) - (-258)/193629*79. Solve -4/7*a**4 + w + 16/7*a**2 - 4/7*a**3 - 2*a + 2/7*a**5 = 0 for a.
-2, 1
Let r = -892891 - -892895. Find m such that -2/3*m**r + 0 + 26/9*m**3 + 8*m - 2/9*m**5 + 34/3*m**2 = 0.
-3, -1, 0, 4
Let 834*n**4 + 270 + 6096*n**2 + 619*n + 1540*n + 2996*n**3 + 69*n**5 + 526*n**3 + 1450*n = 0. What is n?
-5, -3, -1, -2/23
Let i(s) = 96*s - 49. Let l be i(-6). Let o = -623 - l. Factor -3/2*a - 3/2*a**o + 3.
-3*(a - 1)*(a + 2)/2
Let n = 79739/6 - 13286. Factor 0 + n*f**2 + 2/3*f - f**3.
-f*(f - 4)*(6*f + 1)/6
Let s(d) be the second derivative of d**6/120 + 49*d**5/40 + 947*d**4/16 + 2695*d**3/3 + 6050*d**2 + 5758*d. Suppose s(l) = 0. What is l?
-44, -5
Let o(f) be the first derivative of f**6/720 + f**5/400 - f**4/120 - 31*f**3 - 29. Let l(r) be the third derivative of o(r). Factor l(k).
(k + 1)*(5*k - 2)/10
Let o(b) be the second derivative of 5*b**4/36 + 11*b**3/3 + 51*b**2/2 - 567*b. Factor o(n).
(n + 3)*(5*n + 51)/3
Let g(t) be the first derivative of 0*t - t**4 + 90 + 12*t**2 - 4/3*t**3. Factor g(u).
-4*u*(u - 2)*(u + 3)
Solve 968/3*w**3 + 50*w + 3 + 748/3*w**2 = 0 for w.
-1/2, -3/22
Let a(g) be the first derivative of 6*g**4 + 468*g**2 - 167/2*g**3 - 3/20*g**5 - 4563/4*g + 154. Find s such that a(s) = 0.
3, 13
Let f be ((32/72)/(6/(-36)))/(2/(-3)). Let v(d) be the second derivative of -1/12*d**f - 19*d - 11/9*d**3 - 7/6*d**2 + 0. Factor v(j).
-(j + 7)*(3*j + 1)/3
Determine o so that -117 + 10*o - 402*o + 35*o**2 - 152*o**2 - 108*o + 2*o + 12*o**3 = 0.
-3, -1/4, 13
Let k(b) be the first derivative of -56 - 36*b - 8*b**3 + 3/4*b**4 + 57/2*b**2. Let k(w) = 0. Calculate w.
1, 3, 4
Let a = -21910 + 21913. Suppose -2/3*c**a - 4/3*c**2 + 0*c + 0 = 0. What is c?
-2, 0
Let w(l) = l**2 - 32*l - 420. Let j be w(42). Suppose 52*q + q - 212 = j. Find a, given that 10/9*a**2 - 2/9*a**q - 2/3*a + 2/3*a**3 - 8/9 = 0.
-1, 1, 4
Let j = 988204 + -3952803/4. Factor j*c + 1/4*c**2 + 3.
(c + 1)*(c + 12)/4
Let p(o) be the third derivative of -8*o + 527/15*o**5 - 8*o**4 + 0 + o**2 + o**3 - 1922/27*o**6 + 29791/945*o**7. Factor p(t).
2*(t - 1)*(31*t - 3)**3/9
Let c(z) be the third derivative of -z**6/90 - 8*z**5/15 + 17*z**4/6 + 13*z**3/6 - 59*z**2. Let u(h) be the first derivative of c(h). Solve u(x) = 0 for x.
-17, 1
Let r(z) be the first derivative of 182*z**2 - 69 + 184*z + 176/3*z**3 - z**4. Let r(a) = 0. Calculate a.
-1, 46
Let i = 588 + -587. Suppose 2*c + 12 = 4*x, 5*c - 5*x + i = -14. Factor -4/5*j**3 + 0*j + 8/5*j**4 - 4/5*j**5 + 0 + c*j**2.
-4*j**3*(j - 1)**2/5
What is q in -228 - 3/2*q**2 - 117*q = 0?
-76, -2
Let b = 6996064/5 + -1399184. Suppose 128/5 + 4/5*i**3 + 48/5*i**2 + b*i = 0. Calculate i.
-8, -2
Determine k so that -32*k + 5*k**3 - 160*k**2 + 124*k + 1736*k**4 + 52*k - 4*k**5 - 25*k**3 - 1696*k**4 = 0.
-2, 0, 1, 2, 9
Let i = -40 - -42. Suppose -2*f - 137 = -4*s + f, -i*s + 75 = 5*f. Factor -8*u - u - 6*u - s*u**2.
-5*u*(7*u + 3)
Let r(q) be the first derivative of -3*q**4/4 + 3*q**2/2 - 435. Solve r(v) = 0 for v.
-1, 0, 1
Factor 14/17*j**2 + 132/17 - 314/17*j.
2*(j - 22)*(7*j - 3)/17
Determine c, given that -684/5*c**3 + 1008/5 + 4176/5*c + 16/5*c**4 + 404/5*c**2 = 0.
-2, -1/4, 3, 42
Suppose -s - 7*m - 5 = -5*m, 3*s + 5*m + 11 = 0. Factor 3*o + s*o + 19 - 46*o**2 + 5 + 43*o**2.
-3*(o - 4)*(o + 2)
Let d be ((-172)/(-36) - 5) + (-40)/(-180). Let c(h) be the third derivative of d*h + 20/3*h**3 + 6*h**2 + 0 + 35/12*h**5 + 85/12*h**4. Factor c(g).
5*(5*g + 2)*(7*g + 4)
Let l = 471 + -468. Let s(r) be the third derivative of r**2 - 1/360*r**6 + 0*r + 1/60*r**5 - 1/630*r**7 + 0 - 1/9*r**l + 1/72*r**4. Find f such that s(f) = 0.
-2, -1, 1
Let u = 139193 - 139191. Factor -2/5*n**3 + 64/5*n - 2*n**u - 72/5.
-2*(n - 2)**2*(n + 9)/5
Suppose 5*n = c + 23, -3*n - n - 32 = 2*c. Let m be (-616)/(-12) + 6/c. Factor -41*y**2 + m*y**2 - 7*y**3 + 2*y**3.
-5*y**2*(y - 2)
Suppose -40*v - 102*v = -34*v. Factor -15/7*m**4 + v + 66/7*m**3 - 12*m**2 + 24/7*m.
-3*m*(m - 2)**2*(5*m - 2)/7
Suppose 369/4 + 1/4*b**2 + 185/2*b = 0. Calculate b.
-369, -1
Let y(h) = -2*h**3 - 64*h**2 - 60*h + 65. Let t be y(-31). Let m(x) be the first derivative of 1/32*x**4 - 125/8*x - 11 + 75/16*x**2 - 5/8*x**t. Factor m(q).
(q - 5)**3/8
Suppose 1/4*f**2 + 15/4*f + 25/2 = 0. What is f?
-10, -5
Suppose -648*i + 2*t = -653*i - 10, -4*i - 3*t = 15. Find j, given that 4/3*j**2 + 0*j - 8/3*j**3 + i + 4/3*j**4 = 0.
0, 1
Let i(w) = -3*w**2 - 3247*w - 32138. Let q be i(-10). Factor -768 - 1/3*f**2 + q*f.
-(f - 48)**2/3
Factor 297 - 509 + 486*w - 201*w - 217*w + 4*w**2 - 460.
4*(w - 7)*(w + 24)
Let d = 14/2061 - -1921/20610. Let q(m) be the second derivative of -m**2 - d*m**3 + 0 + 1/60*m**4 + m. Factor q(n).
(n - 5)*(n + 2)/5
Suppose -2*w - 3*w + 20 = 0. Let o be (42/119)/((-48)/(-272)). Let -2/7*a**w + 10/7*a**3 - 4/7 + o*a - 18/7*a**2 = 0. What is a?
1, 2
Let r(l) = -2*l**3 + l**2 - 4. Let b(u) = 11*u**3 + 311*u**2 + 629*u + 334. Let z(a) = -b(a) - 5*r(a). Factor z(h).
-(h + 1)**2*(h + 314)
Suppose -25/2*w + 60 - 5/2*w**2 = 0. Calculate w.
-8, 3
Let k(q) be the third derivative of -3*q - 1/1680*q**7 + 1/240*q**6 - 1/96*q**5 + 2*q**2 + 0 + 1/96*q**4 + 0*q**3. Solve k(v) = 0 for v.
0, 1, 2
Let m(w) = w**3 + 2*w**2 + 4. Let l be m(2). Suppose -l = 6*n - 10*n. Suppose s**2 - 40*s + 44 + 4*s**2 + n - 14 = 0. Calculate s.
1, 7
Let k(u) be the first derivative of u**5/20 + 131*u**4/16 - 265*u**3/12 + 133*u**2/8 - 1033. What is v in k(v) = 0?
-133, 0, 1
Solve 256/3 - 64/3*i**2 + 8/3*i - 2/3*i**3 = 0 for i.
-32, -2, 2
Let d(f) = -f - 11. Let o be d(-11). Let r = 7334/7 + -1046. Factor -4/7*h**2 + o + 16/7*h**3 + 0*h - r*h**4.
-4*h**2*(h - 1)*(3*h - 1)/7
Let y be 33 - 38 - (-17 - 0). Find t, given that 18*t**2 - 13*t**2 - 2*t**2 - 5*t**2 - y - 10*t = 0.
-3, -2
Let n = 677 + -665. Suppose -n*v - 32*v + 132 = 0. Factor -25/3*f - 1/3*f**v + 0 + 10/3*f**2.
-f*(f - 5)**2/3
Let t(o) be the second derivative of -o**5/50 + 122*o**4/15 - 3025*o**3/3 + 29282*o**2/5 + 1282*o. Factor t(c).
-2*(c - 121)**2*(c - 2)/5
Let t(u) = -72*u**5 + 339*u**4 - 591*u**3 + 264*u**2 - 24*u + 12. Let h(d) = 2*d**4 + 4*d**2 + d - 1. Let q(v) = -12*h(v) - t(v). Determine p so that q(p) = 0.
0, 1/24, 1, 2
Let s = 44424 - 88845/2. Factor 3*l**3 + s*l**4 - 3*l - 6*l**2 + 9/2.
3*(l - 1)**2*(l + 1)*(l + 3)/2
Suppose 1/5*x**2 - 26/5*x - 731/5 = 0. What is x?
-17, 43
Let -4/9*l + 2/9*l**4 + 16/9 + 4/9*l**3 - 2*l**2 = 0. Calculate l.
-4, -1, 1, 2
Solve -192*l + 448 - 108/7*l**2 - 2/7*l**3 = 0.
-28, 2
Let t(a) be the second derivative of -a**7/273 + 24*a**6/65 - 683*a**5/65 + 420*a**4/13 - 1225*a**3/39 - 2*a + 164. Solve t(w) = 0 for w.
0, 1, 35
Let z be (0 + -4)*6*(-10)/16. Let t be (20 - -1)*(1 - (-5)/z). Factor -t*o**4 + 8*o**4 - 30*o**3 + 2*o**5 - 5*o - 4*o**5 - 3*o**5 - 20*o**2.
-5*o*(o + 1)**4
Factor 35*k**3 + 5*k**2 - 4940881*k + 4940881*k.
5*k**2*(7*k + 1)
Let 420 + 5*l + 0*l - 8*l + 5*l - 3*l**2 - 14*l = 0. What is l?
-14, 10
Let n(w) 