
Let o be (1 + -3)/(99/22 - 4). Let v be 16/8 + o + 0 + 2. Solve d - d**2 + 1/4*d**4 + v - 1/4*d**3 = 0.
-2, 0, 1, 2
Suppose 0 = 55*y - 47*y - 4704. Let t = -584 + y. Let 10/17*u**3 + 14/17*u + 18/17*u**2 + 2/17*u**t + 4/17 = 0. Calculate u.
-2, -1
Let v = -519333 + 519387. Find j, given that 4/3 + 76*j**2 - 70/3*j - v*j**3 = 0.
2/27, 1/3, 1
Let g(b) be the second derivative of 1/40*b**5 - 29*b + 9*b**2 - 1/4*b**3 + 0 - 1/32*b**4 + 1/160*b**6. Let u(j) be the first derivative of g(j). Factor u(w).
3*(w - 1)*(w + 1)*(w + 2)/4
Let q(a) = -2*a**2 + 16*a - 9. Let b be q(11). Let v = b - -159. Solve 4*z**4 + 32*z**3 + 72*z + v*z**2 - 36 + 17 + 19 = 0 for z.
-3, -2, 0
Let d(h) = 10*h - 48. Let m be d(5). Factor -13*a**m - 16 + a + 7*a**2 + 3*a + 8*a**2.
2*(a - 2)*(a + 4)
Suppose 6 = 2*s - 0. Suppose -s*k - 6 = -15. Factor -2*c**5 + 2*c**4 + 4*c**3 - 4*c**2 + 8*c + 2 - 7*c - k*c.
-2*(c - 1)**3*(c + 1)**2
Let j(d) be the first derivative of 11*d**2 + 0*d - 40 + 0*d**3 - 1/20*d**5 - 5/8*d**4. Let r(c) be the second derivative of j(c). Solve r(b) = 0 for b.
-5, 0
Suppose -219*w - 197*w - 45*w**2 + 228*w - 4*w**3 + 237*w**2 = 0. Calculate w.
0, 1, 47
Let w be (-572)/(-195) + 4/60. Suppose 190*f + 62*f**2 + 78*f**2 - 78*f**3 - 50*f - 80 + 103*f**w = 0. What is f?
-4, -2, 2/5
Factor 64/5 + 88/5*l**2 + 132/5*l + 21/5*l**3 + 1/5*l**4.
(l + 1)*(l + 2)**2*(l + 16)/5
What is y in 6/13*y**3 + 1120/13 - 166/13*y**2 - 1572/13*y = 0?
-8, 2/3, 35
Let d(g) be the third derivative of g**8/168 + g**7/105 - g**6/20 - g**5/30 + g**4/6 - 11*g**2 - 2. Solve d(v) = 0 for v.
-2, -1, 0, 1
Let z(s) be the second derivative of 7*s + 3/140*s**5 - 2/7*s**4 + 27/7*s**2 + 4 + 9/14*s**3. Suppose z(l) = 0. Calculate l.
-1, 3, 6
Solve -129*m - 1/5*m**3 - 54/5*m**2 - 592/5 = 0 for m.
-37, -16, -1
Suppose 216*y = 39*y. Solve -2/11*l**5 + 0 + 6/11*l**4 + 2/11*l**2 - 6/11*l**3 + y*l = 0 for l.
0, 1
Let s(z) be the third derivative of z**5/150 + 16*z**4/15 + 333*z**3/5 + 6*z**2 + 242*z. Factor s(c).
2*(c + 27)*(c + 37)/5
Let v(l) be the third derivative of -13*l**7/84 - l**6/72 - 4*l**3/3 - 6*l**2 + 2*l. Let c(n) be the first derivative of v(n). Solve c(r) = 0 for r.
-1/26, 0
Suppose -775 = -8*o - 535. Solve -24 - 24 - 22 + 74 - o*g**2 - 26*g = 0 for g.
-1, 2/15
Let s(y) be the third derivative of -y**6/40 + 44*y**5/5 - 349*y**4/8 + 87*y**3 + 11*y**2 - 2. Factor s(x).
-3*(x - 174)*(x - 1)**2
Find f such that 312500 + 4/5*f**2 - 1000*f = 0.
625
Find t, given that 704/17*t - 61952/17 - 2/17*t**2 = 0.
176
Let i = 129083/258238 - -18/129119. Factor i*v**4 - 5/2*v**2 + 1/2*v**3 + 3/2*v + 0.
v*(v - 1)**2*(v + 3)/2
Let l = -40142 - -40142. Let v be (-2)/8 - (-14)/4. Determine d, given that l - 3/2*d**4 + d + 1/4*d**5 + v*d**3 - 3*d**2 = 0.
0, 1, 2
Factor -258/5*r**2 + 315*r - 2376/5 - 1/5*r**3.
-(r - 3)**2*(r + 264)/5
Let n(o) be the third derivative of o**7/840 - o**6/48 + 3*o**5/20 + 7*o**4/2 + o**2 - 122*o. Let y(f) be the second derivative of n(f). Factor y(a).
3*(a - 3)*(a - 2)
Let t = -11634 + 244315/21. Let y(f) be the second derivative of t*f**7 + 0*f**2 - 7/10*f**5 + 6*f**3 + 0 + 22*f - 1/5*f**6 + 5/2*f**4. What is c in y(c) = 0?
-2, -1, 0, 3
Let x = 35531 + -35531. Factor 0 + x*t**2 + 3/2*t**4 + 0*t + 33/2*t**3.
3*t**3*(t + 11)/2
Let f(o) be the first derivative of 675/2*o**2 + 15*o**3 + 3375*o - 76 + 1/4*o**4. Let f(v) = 0. What is v?
-15
Let i(w) be the third derivative of w**8/42 + 11*w**7/60 + 27*w**6/80 - 3*w**5/20 + w**2 + 1718*w - 1. Solve i(t) = 0.
-3, -2, 0, 3/16
Let q = 1085188/9 + -120572. Suppose 4/3 - 4*z**2 + q*z - 16/9*z**3 = 0. What is z?
-3, -1/4, 1
Let a(q) be the first derivative of q**3/3 + 31*q**2/2 + 30*q - 322. Factor a(h).
(h + 1)*(h + 30)
Let d = 1651/51 + -522/17. What is m in -1/3*m**2 + 2 + d*m = 0?
-1, 6
Let d(p) be the second derivative of 7/12*p**3 + 1/60*p**6 + 3/8*p**4 - 15*p + 2 + 1/8*p**5 + 1/2*p**2. Suppose d(b) = 0. What is b?
-2, -1
Let 0*i - 72/5*i**2 + 0 - 12/5*i**3 + 2*i**4 - 1/5*i**5 = 0. What is i?
-2, 0, 6
Let p(i) be the first derivative of -1/90*i**5 + 0*i + 1/6*i**4 + 7/9*i**3 - 7*i**2 - 26. Let v(g) be the second derivative of p(g). Solve v(a) = 0 for a.
-1, 7
Let q(t) be the first derivative of -35/2*t**2 + 0*t + 160 + 50/3*t**3. Let q(y) = 0. What is y?
0, 7/10
Factor b**2 - 565/2*b + 843/2.
(b - 281)*(2*b - 3)/2
Let m(v) = -3*v**2 - 33*v - 6. Let q be m(-11). Let z be (184/(-30) - q) + 1772/690. Determine g so that z + 384/23*g - 98/23*g**3 + 630/23*g**2 = 0.
-2/7, 7
Let i(n) be the second derivative of -n**4/48 - 9*n**3/4 - 85*n**2 - 190*n + 5. Determine t so that i(t) = 0.
-34, -20
Factor 4/3*c**2 + 392 - 140/3*c.
4*(c - 21)*(c - 14)/3
Factor -6*h**3 - 120*h + 121/3*h**2 + 400/3 + 1/3*h**4.
(h - 5)**2*(h - 4)**2/3
Factor -4/5*n**2 - 126736/5 + 1424/5*n.
-4*(n - 178)**2/5
Let z(l) be the third derivative of -l**7/945 - l**6/15 - 323*l**5/270 + l**4/3 + 12*l**3 - 3130*l**2. Determine o so that z(o) = 0.
-18, -1, 1
Let r(u) be the first derivative of u**5/70 + 4*u**4/21 + u**3 + 18*u**2/7 + 45*u - 59. Let t(m) be the first derivative of r(m). Factor t(b).
2*(b + 2)*(b + 3)**2/7
Suppose -4*l - 76*o = -71*o + 4, -4*o = 3*l + 4. Suppose -128/3*r + 16/3*r**l + 976/9*r**2 + 2/9*r**5 + 382/9*r**3 - 1024/9 = 0. What is r?
-8, -1, 1
Let o be 2290/42 + 1/3. Suppose -8*v + 51*v + 124 = 105*v. Factor 2592/7*a**5 + 864/7*a**4 - 46/7*a + o*a**v + 2/7 - 1296/7*a**3.
2*(a + 1)*(6*a - 1)**4/7
Let t = 875 - -11. Let l = t + -884. Factor 1/2*s**3 - 3*s**l + 3 - 1/2*s.
(s - 6)*(s - 1)*(s + 1)/2
Let h(l) = 25*l**2 - 1373*l + 651. Let x(n) = -8*n**2 + 458*n - 218. Let s(r) = 4*h(r) + 13*x(r). Solve s(y) = 0.
1/2, 115
Let x(k) = k. Let h be x(6). Suppose -25 = 3*w + 5*b, -10 = 2*w - h*w + 2*b. Determine m, given that 0 - 1/2*m**5 - m**4 + 1/2*m + w*m**3 + m**2 = 0.
-1, 0, 1
Suppose -65*u = -67*u + 50. Let x(i) = -9*i**2 + 53*i - 92. Let k(b) = 110*b**2 - 635*b + 1105. Let f(g) = u*x(g) + 2*k(g). Factor f(q).
-5*(q - 9)*(q - 2)
Suppose 2*h = 9*h - 623. Suppose 14 - h = -3*c. Factor 5*f**3 + 2*f**2 + f**5 + c*f**4 - 6*f**4 - 15*f**4.
f**2*(f + 1)**2*(f + 2)
Solve -1/6*d**5 + 191/6*d**2 + 62/3 - 21/2*d**4 + 52*d - 59/6*d**3 = 0 for d.
-62, -1, 2
Suppose 111*h = 115*h - 8. Factor -17*o + 4*o**3 - 2*o**3 + h*o**2 - 47*o + 24*o.
2*o*(o - 4)*(o + 5)
Let i(w) be the second derivative of 0 - 13/4*w**3 - 87*w - 37/16*w**4 + 1/40*w**6 - 3/8*w**5 + 0*w**2. Factor i(j).
3*j*(j - 13)*(j + 1)*(j + 2)/4
Let p = 3729728/3108115 - -2/621623. Factor 3/5*r**3 + 11/5*r + 4*r**2 - p.
(r + 1)*(r + 6)*(3*r - 1)/5
Let n(j) be the first derivative of 125 + 0*j + 80*j**2 + 4/3*j**3. Factor n(g).
4*g*(g + 40)
Let g be 1/(((-3)/4)/(-3)). Suppose 1071*u - 1019*u - 208 = 0. Factor 6*c**3 - c**4 + c**3 - 10*c**2 + g*c + c**3 - c**u.
-2*c*(c - 2)*(c - 1)**2
Let n(i) be the second derivative of i**6/30 - 3*i**5/4 + 29*i**4/12 + 69*i**3/2 + 81*i**2 + 1168*i. Factor n(l).
(l - 9)**2*(l + 1)*(l + 2)
Solve -15/4*p**2 - 21/4*p**3 + 9/2 + 21/4*p - 3/4*p**4 = 0.
-6, -1, 1
Let h(r) = r**3 + 7*r**2 + 7*r + 18. Let z be h(-6). Suppose -z - 3*a**2 - 23*a + 42*a - 31*a = 0. What is a?
-2
Let f(t) be the third derivative of t**7/210 + 2*t**6/15 - 11*t**5/15 - 6*t**4 - 323*t**2 - t + 4. What is b in f(b) = 0?
-18, -2, 0, 4
Let t(p) be the third derivative of p**6/2340 + 3*p**5/260 + 2*p**4/39 - 155*p**3/6 - 50*p**2. Let u(h) be the first derivative of t(h). Solve u(n) = 0 for n.
-8, -1
Suppose 0 = -11*j + 659 + 507. Factor 7*u**2 + 5*u**2 - j*u**3 - 16*u + 110*u**3.
4*u*(u - 1)*(u + 4)
Let c(z) be the first derivative of z**5/60 + z**4/18 + z**3/18 - 20*z**2 - 95. Let w(j) be the second derivative of c(j). Factor w(p).
(p + 1)*(3*p + 1)/3
Suppose -5*t + 281 = 147*t - 23. Factor 28/5*k**3 - 16/5*k + 0 - 12/5*k**t.
4*k*(k - 1)*(7*k + 4)/5
Suppose 0 = -5*p - 3*v - 3916, 2*p + 3*v = -1907 + 337. Let h = 8612/11 + p. Factor 8/11*w**2 + h*w + 2/11*w**3 + 4/11.
2*(w + 1)**2*(w + 2)/11
Let c(f) be the third derivative of -f**8/112 + 13*f**7/70 - 7*f**6/10 - 44*f**5/5 + 88*f**4 - 256*f**3 + 12*f**2 - 3*f - 2. Solve c(v) = 0 for v.
-4, 1, 4, 8
Let i(q) be the second derivative of -4 - 3/80*q**5 + 1/8*q**3 - 6*q + 1/16*q**4 - 3/8*q**2. Factor i(m).
-3*(m - 1)**2*(m + 1)/4
Let c(w) be the third derivative of w**8