/3, 85
Suppose -8*p = -11*p + 177. Factor -73*c - p*c - 5*c**2 - 41*c + 23*c.
-5*c*(c + 30)
Let f = 37288/93095 + -10/18619. Factor 0*h + f*h**2 + h**3 + 1/5*h**5 + 4/5*h**4 + 0.
h**2*(h + 1)**2*(h + 2)/5
Suppose 8 = -i + 3*c + 3, -5*i = -2*c - 14. Factor 192*h + 19 - 41 + 9 - i*h**3 + 13 - 188*h**2.
-4*h*(h - 1)*(h + 48)
What is f in 504/5*f - 716/5*f**2 + 1296/5 + 74/5*f**3 - 2/5*f**4 = 0?
-1, 2, 18
Let o(q) be the second derivative of 361*q**4/12 + 19*q**3/2 + 9*q**2/8 - 11*q - 62. Find s, given that o(s) = 0.
-3/38
Suppose 33*b = -21 + 120. Find a, given that -19 + 3*a**b - 15*a**2 + 25 + 0*a**3 - 6 = 0.
0, 5
Let l(y) be the second derivative of y**4/3 - y**3/3 + 3*y**2 + 37*y. Let b(o) = -3*o**2 + o - 4. Let r(c) = -3*b(c) - 2*l(c). Suppose r(f) = 0. What is f?
-1, 0
Let r = -420245 - -420247. Solve 6*f + 1/2*f**4 + r + 13/2*f**2 + 3*f**3 = 0 for f.
-2, -1
Let g(f) = -12*f**3 - 160*f**2 + 116*f + 600. Let w(c) = -c**3 + 3*c**2 - 17*c. Let h(i) = -g(i) + 16*w(i). Let h(d) = 0. What is d?
-1, 3, 50
Let v(t) be the third derivative of -5*t**2 - 3/20*t**5 + 0*t**4 - 1/40*t**6 + 0 - 4*t + 2*t**3. Factor v(i).
-3*(i - 1)*(i + 2)**2
Let p = -3805 + 3809. Let o(n) be the second derivative of 54*n**3 + 324*n**2 + 3/20*n**5 + 9/2*n**p + 0 + 18*n. Factor o(q).
3*(q + 6)**3
Let f(x) = -2*x**2 + 10*x - 80. Let q(d) = -2*d**2 + 20*d - 82. Let c(t) = 5*f(t) - 4*q(t). What is w in c(w) = 0?
-12, -3
Suppose -20*o = -9 - 151. Suppose 23 + 9 = o*h. Factor -9*w**h + 8 - 46*w**3 - 49*w**2 - 13*w**2 + 3*w**3 - 20*w.
-(w + 1)*(w + 2)**2*(9*w - 2)
Let -47*q**2 - 63*q - 47*q**3 + 607*q**2 + 163*q - 176*q**4 + 240*q**3 + 20*q**5 + 71*q**3 = 0. What is q?
-1, -1/5, 0, 5
Let z(r) = -23*r + 1198. Let x be z(52). Let g(i) be the third derivative of 0 + 0*i + 25/12*i**3 - 10*i**x + 5/24*i**4 + 1/120*i**5. Factor g(j).
(j + 5)**2/2
Suppose -t + 46 = -470. What is c in 183*c - 534 + 30*c**2 + 33*c**2 + t = 0?
-3, 2/21
Let h(z) be the second derivative of -3*z**5/40 - 133*z**4/8 + z**3 + 399*z**2 - z - 3869. Let h(v) = 0. Calculate v.
-133, -2, 2
Suppose -440*r = -438*r - 428. Suppose 210*c + 12 = r*c. Factor 0*o**2 + 0*o + 1/4*o**c - 7/8*o**5 + 5/8*o**4 + 0.
-o**3*(o - 1)*(7*o + 2)/8
Determine a, given that -20/13*a**4 - 160/13*a + 50/13*a**3 - 128/13 + 2/13*a**5 + 40/13*a**2 = 0.
-1, 4
Let h(r) be the third derivative of 0*r**5 + 1/72*r**6 + 0 + 0*r**4 + 0*r - 11*r**2 + 0*r**3. Factor h(q).
5*q**3/3
Suppose 3*h - 175 = 302. Let k = h + -156. Suppose -2/9*s**5 - 2/9*s**k + 0*s**2 + 0 + 0*s + 4/9*s**4 = 0. What is s?
0, 1
Factor -14432/3*g - 692/3*g**2 + 7744 - 8/3*g**3.
-4*(g + 44)**2*(2*g - 3)/3
Let y = -146600 + 146602. Find o, given that -3/5*o**y + 114/5*o - 1083/5 = 0.
19
Let j(w) be the first derivative of w**6/2 - 12*w**5/5 - 45*w**4/4 + 14*w**3 + 42*w**2 - 72*w - 648. Let j(p) = 0. Calculate p.
-2, 1, 6
Suppose -2135*u + 2136*u + 147 = 0. Let w be (2/(-35))/(u/245). Solve 8/21*h**4 + 0*h**2 + w*h**5 + 0*h + 0*h**3 + 0 = 0 for h.
-4, 0
Let i(q) be the first derivative of -6/25*q**5 + 0*q + 2/5*q**3 + 0*q**2 - 38 + 1/15*q**6 - 1/10*q**4. Find l such that i(l) = 0.
-1, 0, 1, 3
Let l(t) be the second derivative of t**5/10 - t**4/3 - 21*t**3 - 2*t - 213. Factor l(x).
2*x*(x - 9)*(x + 7)
Let u = 16 - -54. Factor -40*h**2 + u*h**3 + 0*h**5 - 271*h**4 + 5*h**5 + 236*h**4.
5*h**2*(h - 4)*(h - 2)*(h - 1)
Let d = -10 - -15. Suppose 4*j = -d*x - 53 + 203, -3*x - 169 = -5*j. Solve -5*h**5 - 10 - 10 - 15*h**3 + j*h**2 + 20*h**3 + 0*h**5 - 15*h**4 = 0 for h.
-2, -1, 1
Solve 6*s**5 + 0 - 16/3*s + 40/3*s**2 - 4/3*s**3 - 14*s**4 = 0 for s.
-1, 0, 2/3, 2
Suppose -134 = -3*r + 229. Let s be ((-36)/10)/3*280/(-168). Factor 10*d - 117*d**3 + 7*d**2 + 5*d**2 - s*d + r*d**3.
4*d*(d + 1)*(d + 2)
Suppose 28*l = -38 + 234. Let h be -10 - ((-85)/5 + l). Let 0 + h*q - 2/5*q**2 - 2/15*q**3 + 2/15*q**5 + 2/5*q**4 = 0. What is q?
-3, -1, 0, 1
Let o(r) = r**3 + 2*r**2 + 1. Let x(i) = -i**3 - 22*i**2 - 455*i - 154. Let m(f) = 4*o(f) + x(f). Factor m(t).
(t - 15)*(t + 10)*(3*t + 1)
Let u(r) be the second derivative of 0*r**2 + 0 + 1/4*r**3 + 1/12*r**4 - 1/160*r**5 - 1/240*r**6 - 25*r. Find l, given that u(l) = 0.
-2, 0, 3
Solve -297/4*g - 5/4*g**2 + 45 = 0 for g.
-60, 3/5
Let u(a) = -10*a**2 - 13*a - 3. Let y be 6 - (8 - (1 - 0)). Let s be u(y). Factor 2*q**4 + s*q + 2/3*q**2 - 2/3*q**5 + 0 - 2*q**3.
-2*q**2*(q - 1)**3/3
Find d, given that -38/11*d + 2/11*d**3 - 40/11 + 4/11*d**2 = 0.
-5, -1, 4
Let v = 15563 - 15538. Let d(r) be the third derivative of 0 - 1/60*r**6 + 0*r - v*r**2 + 0*r**4 + 0*r**3 + 1/60*r**5 + 1/210*r**7. Solve d(f) = 0 for f.
0, 1
Let n be 6/(-21) + (-72)/(-7) + -26 + 16. Suppose 0 - 1/11*d**3 - 1/11*d**2 + n*d = 0. Calculate d.
-1, 0
Let k(v) be the third derivative of v**7/5040 - 17*v**6/720 + 289*v**5/240 + 23*v**4/12 + 40*v**2. Let c(f) be the second derivative of k(f). Factor c(a).
(a - 17)**2/2
Let m(l) be the third derivative of l**5/240 + 13*l**4/4 + 1014*l**3 - 74*l**2 - 15*l. Determine w so that m(w) = 0.
-156
Suppose 0 = -28*t + 234 - 38. Let h(b) be the second derivative of 3/50*b**5 + 0*b**2 + 0 + 1/15*b**4 + 2/75*b**6 - 18*b + 1/30*b**3 + 1/210*b**t. Factor h(l).
l*(l + 1)**4/5
Let s(a) be the first derivative of 3*a**3/2 + 665*a**2/2 - 148*a - 12355. Factor s(g).
(g + 148)*(9*g - 2)/2
Suppose -44*u = -35*u - 90. Factor u*m - 15*m**2 + 3*m**3 + 10*m - 38*m.
3*m*(m - 6)*(m + 1)
Let t(a) = -4685*a - 304390. Let p be t(-65). Solve 5/2*l**2 + p - 105/2*l = 0 for l.
3, 18
Let s(z) be the second derivative of -z**6/270 + 17*z**5/180 - 25*z**4/54 - 208*z**3/27 + 320*z**2/3 - 8836*z. Find w such that s(w) = 0.
-5, 6, 8
Let n(q) be the first derivative of q**6/60 + q**5/6 - 2*q**4/3 - 4*q**3 + 12*q**2 - 3*q + 19. Let l(u) be the second derivative of n(u). Solve l(m) = 0 for m.
-6, -1, 2
Let b(s) be the first derivative of -s**6/2 - 798*s**5/5 + 1611*s**4/2 - 1616*s**3 + 3237*s**2/2 - 810*s + 11817. Solve b(z) = 0.
-270, 1
Let b(q) = -7*q**5 + 21*q**4 + 13*q**3 + 4*q**2 - 33*q - 16. Let z = 130 - 128. Let k(s) = s**5 - s**4 + s**3 + s. Let j(h) = z*b(h) + 18*k(h). Factor j(m).
4*(m - 1)*(m + 1)*(m + 2)**3
Let w(u) be the first derivative of -5*u**6/6 + 14*u**5 - 345*u**4/4 + 740*u**3/3 - 350*u**2 + 240*u + 1249. Solve w(z) = 0.
1, 2, 4, 6
Factor 115*k + 459/4 + 1/4*k**2.
(k + 1)*(k + 459)/4
Let w be 5/(-15)*(-54)/42. Factor -66/7*n + w*n**2 + 363/7.
3*(n - 11)**2/7
Let n(z) be the first derivative of 3/2*z**2 - 13/12*z**3 + 3/8*z**4 - 57 - 1/20*z**5 - z. Factor n(g).
-(g - 2)**2*(g - 1)**2/4
Let p be (-31)/(-1) + 63495/(-2075). Factor 0 - p*l**2 + 0*l.
-2*l**2/5
Let x(a) = 7*a**2 + 250*a - 6016. Let k be x(-54). Solve -2/7*d**2 - k + 32*d = 0 for d.
56
Let m(x) = -35*x - 167. Let u be m(-35). Suppose 46 - u*r**2 - 34 + 10*r + 1060*r**2 = 0. What is r?
-3, -2
Let k = -617 + 619. Suppose 288 - 2*r**3 - 174*r - 2*r**2 + 8*r**k + 4*r**3 - r**2 + 15*r**2 = 0. Calculate r.
-16, 3
Let d(t) = 38*t - 17. Let u be d(-1). Let c be (-2)/(-8)*(-1188)/u. Let -c*y - 3/5*y**5 + 18/5*y**4 + 48/5*y**2 - 42/5*y**3 + 6/5 = 0. Calculate y.
1, 2
Let b(l) be the second derivative of 0 + 76*l - 6*l**2 - 1/70*l**5 + 4/21*l**4 - 1/21*l**3. Factor b(c).
-2*(c - 7)*(c - 3)*(c + 2)/7
Let b(m) be the first derivative of 5/4*m**4 + 0*m - 5/3*m**3 - 5*m**2 + 37. Determine p so that b(p) = 0.
-1, 0, 2
Let i(b) be the third derivative of b**6/2340 - b**5/780 - b**4/13 - 13*b**3/6 + 28*b**2. Let z(p) be the first derivative of i(p). Let z(t) = 0. Calculate t.
-3, 4
Let a(x) = 2*x**3 + 3*x**2 - 5*x + 4. Let u be a(1). Suppose -56*m + 60*m - 4*v + 12 = 0, 0 = 2*m - u*v + 12. Determine f so that m*f + 0 + 3/4*f**2 = 0.
0
Let a(l) be the first derivative of -48*l**2 - 151 - 10*l**4 + 8/3*l**6 + 36/5*l**5 - 16*l - 140/3*l**3. What is t in a(t) = 0?
-2, -1, -1/4, 2
Let o(k) be the third derivative of 2*k**7/315 + 349*k**6/360 + 1131*k**5/20 + 100079*k**4/72 + 24389*k**3/18 + 2*k**2 + 892. Suppose o(f) = 0. What is f?
-29, -1/4
Factor 2*p**3 - 89*p**2 - 185*p**2 - 270 + 238*p + 453*p - 149*p.
2*(p - 135)*(p - 1)**2
Let r(y) be the third derivative of -y**7/840 - y**6/240 + 7*y**5/20 + 15*y**4/4 - 9*y**2 + 109. Let r(c) = 0. Calculate c.
-6, 0, 10
Let z = 9683/347940 - 1/19330. Let m(v) be the third derivative 