u*s**4 - 1/2*s = 0 for s.
-1, 0, 2
Suppose 4*a + 14 = 2*q, -3*q + 3*a = 1 - 37. Suppose -j + 17 = q. Determine s, given that -1/3*s**3 - s**2 + j + 0*s = 0.
-3, 0
Suppose 0 = 75*p + 5 - 155. Determine n, given that 6*n**4 + 3*n**p - 3/2*n**5 - 15/2*n**3 + 0*n + 0 = 0.
0, 1, 2
Let w(h) be the first derivative of 2*h**3/33 - 34*h**2/11 - 144*h/11 - 388. Let w(r) = 0. Calculate r.
-2, 36
Let f be 7/(-6)*(-1304)/2282. Solve 4/9*y**2 + 2/3*y**5 - f*y**3 + 0 + 0*y - 4/9*y**4 = 0 for y.
-1, 0, 2/3, 1
Let p(s) = 5*s**3 + 3*s**2 + 4. Let q(k) = 4 + 2*k + 5 - 2*k + 7*k**2 + 11*k**3. Let t(n) = -9*p(n) + 4*q(n). Factor t(f).
-f**2*(f - 1)
Let g(t) be the third derivative of -t**8/672 - t**7/210 + t**5/60 + t**4/48 + 136*t**2. Factor g(f).
-f*(f - 1)*(f + 1)**3/2
Let r = -42 - -44. Determine p, given that 6*p**2 - 63*p**4 + 7*p**4 - 2*p**r + 2*p**3 = 0.
-1/4, 0, 2/7
Let q(h) be the second derivative of -h**6/105 - 12*h**5/35 + 9*h**4/14 + 50*h**3/21 + h - 27. Solve q(y) = 0 for y.
-25, -1, 0, 2
Let k(n) = 33*n**2 + 85*n + 18. Let g(f) = -17*f**2 - 42*f - 8. Let u(d) = 5*g(d) + 2*k(d). Factor u(t).
-(t + 2)*(19*t + 2)
Let k = 2375 + -2372. Factor 3/4*v**4 + 0*v**2 + 3/8*v**k + 0 + 0*v + 3/8*v**5.
3*v**3*(v + 1)**2/8
Suppose 4*j - 4*n = 4, 2007*j - 4*n + 14 = 2012*j. Factor -135/2*z**j - 729/10 - 243/2*z - 25/2*z**3.
-(5*z + 9)**3/10
Suppose -11*u = -24*u + 39. Suppose 3*n - 5*b + 2*b = 6, -n + 6 = -u*b. Factor -3*y**2 - 15/4*y**4 + 3/4*y**5 + 6*y**3 + 0*y + n.
3*y**2*(y - 2)**2*(y - 1)/4
Let u = -75 - -77. What is g in 5*g**5 - 20*g**u + 23*g**2 - 2*g**5 - 9*g**3 + 6*g - 3*g**4 = 0?
-1, 0, 1, 2
Let a be 2/(-6)*((-600)/16)/25. Let 1/3*d**3 + a - 1/3*d - 2/3*d**2 + 1/6*d**4 = 0. What is d?
-3, -1, 1
Factor -15*l + 63/4 - 3/4*l**2.
-3*(l - 1)*(l + 21)/4
Let h(v) be the second derivative of -6/5*v**5 - 4/3*v**4 - 8/15*v**6 + 0*v**2 - 2/3*v**3 - 11*v - 2/21*v**7 + 0. Suppose h(b) = 0. What is b?
-1, 0
Suppose -f + 28 = 3*f. Suppose 3 = -2*q + f. What is t in -2*t**3 + 14*t**2 - 3*t - 6*t**q - 5*t = 0?
0, 2
Let t be 0 - (1 + 0) - (2 - 15). Let b be (1/t)/((-203)/(-63) - 3). Solve b*z**3 + 21/8*z + 15/8*z**2 + 9/8 = 0.
-3, -1
Let r(f) = 23*f + 163. Let s be r(-7). Solve -5/2*b**s - 5*b - 5/2 = 0 for b.
-1
Suppose 262 = 4*f + t, 32 = -2*f - 3*t + 168. Suppose f = 3*o - 4*v, 0 = -6*o + 4*o - 2*v + 20. Determine n so that -21*n**2 + 1 + o*n - 3 - 8 + 16 = 0.
-2/7, 1
Let a(q) be the second derivative of q**4/6 - 31*q**3/9 + 10*q**2/3 - 4*q - 6. What is i in a(i) = 0?
1/3, 10
What is n in -5438/7*n**3 - 5508/7*n**5 - 16/7 + 8*n + 10062/7*n**4 + 844/7*n**2 = 0?
-2/17, 2/9, 1/2, 1
Let k(z) be the third derivative of z**10/7560 - z**8/840 + z**6/180 - z**4/3 - 9*z**2. Let g(f) be the second derivative of k(f). Factor g(j).
4*j*(j - 1)**2*(j + 1)**2
Suppose -5*q = -q - 16. Suppose 7*k**2 + 8*k + 12*k - q - 2*k - 6*k = 0. Calculate k.
-2, 2/7
Let c(y) be the second derivative of y**6/90 + y**5/10 + 13*y**4/36 + 2*y**3/3 + 2*y**2/3 + 2*y + 23. Factor c(h).
(h + 1)**2*(h + 2)**2/3
Let l(g) be the first derivative of g**5 - 5*g**4/4 - 5*g**3 + 5*g**2/2 + 10*g + 52. Factor l(p).
5*(p - 2)*(p - 1)*(p + 1)**2
Let d(s) = 159*s**2 + 66*s - 9. Let f(z) = -32*z**2 - 13*z + 2. Let p(l) = -5*d(l) - 24*f(l). Factor p(n).
-3*(3*n + 1)**2
Factor -2/3 + 2/3*f**2 - 16/9*f.
2*(f - 3)*(3*f + 1)/9
Determine z so that 1/2*z**5 + 2*z**2 + 1/2*z**4 + 0 + 8*z - 6*z**3 = 0.
-4, -1, 0, 2
Let h(c) = 2*c - 8. Let s be h(7). Let w be 35/11 - 0 - (-2)/(-11). Factor -d**3 + s*d**w + 3*d - 10 - 18*d.
5*(d - 2)*(d + 1)**2
Let -8*r - 40*r**4 + 5*r**5 - 105*r**3 + 40*r**2 + 277*r - 169*r = 0. Calculate r.
-2, -1, 0, 1, 10
Let t be 1*24/(-12) - -4. Suppose 2/17*a**t + 2/17*a + 0 = 0. What is a?
-1, 0
Let x(d) = -3*d - 7. Suppose -12*g = -10*g + 6. Let r be x(g). Factor 4/5*k**r + 2*k**3 + 0*k + 0.
2*k**2*(5*k + 2)/5
Let u be (10 - 6) + (-50)/(-30) + -4. Factor -u + 10/3*g - 5/3*g**2.
-5*(g - 1)**2/3
Let u = 30451/32300 + -3/1900. Factor 2/17*m**5 - 16/17 - 76/17*m**2 + 50/17*m**3 - u*m**4 + 56/17*m.
2*(m - 2)**3*(m - 1)**2/17
Let q(g) be the third derivative of -9/4*g**4 + 0 - 1/240*g**6 - 4*g + g**2 - 18*g**3 - 3/20*g**5. Factor q(i).
-(i + 6)**3/2
Let n be 6/9*((-5670)/(-20))/21. Let x(p) be the second derivative of n*p - 7/20*p**5 - 3/4*p**4 + 0 + 0*p**2 - 1/3*p**3. Factor x(a).
-a*(a + 1)*(7*a + 2)
Let y be (-1224)/(-119) + 1 + -9. Suppose -120/7*g - 36/7*g**2 + 32/7 + y*g**3 = 0. What is g?
-2, 1/4, 4
Let -10*n**2 + 68*n**4 - 26*n**4 + 5*n**3 - 37*n**4 = 0. Calculate n.
-2, 0, 1
Let f be (-1)/(-3) + (-15314)/114. Let z = f + 136. Factor 0 - 1/4*s**3 + 1/2*s - 1/4*s**z.
-s*(s - 1)*(s + 2)/4
Let z(m) be the first derivative of -2*m**6/3 - 7*m**5/5 + 15*m**4/4 + 7*m**3/3 - 11*m**2/2 + 200. Determine y so that z(y) = 0.
-11/4, -1, 0, 1
Let u(b) be the second derivative of b**6/15 + 3*b**5/5 + 4*b**4/3 - 2*b**3 - 9*b**2 - 11*b. Suppose u(j) = 0. Calculate j.
-3, -1, 1
Let c(k) = 2*k - 12. Let z be c(9). Suppose d - z*p = -11*p - 23, 5*d - 35 = 5*p. Factor 8/7*x**d - 2/7*x + 6/7*x**3 - 4/7.
2*(x + 1)**2*(3*x - 2)/7
Let x be ((-391)/69 + 4)*(2/20 - 1). Let x*g**2 + 11/2*g - 2 = 0. What is g?
-4, 1/3
Let g = 110/527 - 26149/158100. Let s(l) be the third derivative of 0*l - 1/1050*l**7 - g*l**5 - 2/15*l**3 + 4*l**2 - 1/10*l**4 - 1/100*l**6 + 0. Factor s(k).
-(k + 1)**2*(k + 2)**2/5
Let p be 6*(-3*6/9)/(-6). Factor -10 + 10 + 6*m + 2*m**p + 4.
2*(m + 1)*(m + 2)
Let q be (8/18*(-4)/6)/((-37)/111). Factor -10/9*z**3 - 32/9*z - q - 34/9*z**2.
-2*(z + 1)*(z + 2)*(5*z + 2)/9
Let v(t) be the first derivative of -17/3*t**2 + 27 + 1/3*t**6 - 28/15*t**5 + 16/9*t**3 + 4*t + 7/3*t**4. Suppose v(q) = 0. Calculate q.
-1, 2/3, 1, 3
Let s(g) be the second derivative of 45*g + 1/252*g**7 + 1/24*g**4 + 1/180*g**6 + 0 + 0*g**2 + 0*g**3 - 1/24*g**5. Solve s(r) = 0.
-3, 0, 1
Let y(a) be the second derivative of -a**4/90 + 22*a**3/45 - a - 92. Solve y(o) = 0 for o.
0, 22
Let k(f) be the first derivative of f**5/10 + 5*f**4/8 + f**3/2 - 9*f**2/4 + 11. Let k(w) = 0. What is w?
-3, 0, 1
Let z = -197 + 297. Let b = z + -100. Factor 0 - 2/3*y**4 + b*y + 8/3*y**3 - 8/3*y**2.
-2*y**2*(y - 2)**2/3
Let k(d) be the first derivative of -d**6/20 - 3*d**5/40 + 3*d**4/8 + 5*d**3/4 + 3*d**2/2 - d - 19. Let n(o) be the first derivative of k(o). Factor n(l).
-3*(l - 2)*(l + 1)**3/2
Let w(n) be the first derivative of -n**3/33 + 7*n**2/22 - 315. Determine q so that w(q) = 0.
0, 7
Let r(k) be the first derivative of -8 - 2/21*k**3 + 4/7*k**2 - 6/7*k. Factor r(z).
-2*(z - 3)*(z - 1)/7
Let m(t) be the second derivative of t**4/4 - 17*t**3 + 867*t**2/2 - t - 188. Suppose m(j) = 0. What is j?
17
Factor 9/4*f + 12*f**2 + 9/4*f**3 - 15/2.
3*(f + 1)*(f + 5)*(3*f - 2)/4
Let f = -7483 - -7486. Factor 0*n + 1/3*n**4 + 1/3 - 2/3*n**2 + 0*n**f.
(n - 1)**2*(n + 1)**2/3
Let z(v) be the third derivative of -5*v**8/1344 - v**7/42 - 5*v**6/96 - v**5/24 - 94*v**2 + 3*v. Let z(h) = 0. Calculate h.
-2, -1, 0
Suppose 0 = -4*g + 4, 94 = -5*p - 2*g + 6*g. Let t(b) = -b. Let x(k) = 10*k**2 - 7*k + 0*k - 6*k. Let l(z) = p*t(z) + 2*x(z). Factor l(u).
4*u*(5*u - 2)
What is h in -2/21*h**5 + 0*h**3 + 8/21*h**4 + 4/7 - 20/21*h**2 + 2/21*h = 0?
-1, 1, 2, 3
Let h(i) be the third derivative of i**5/300 - 7*i**4/15 + 392*i**3/15 - i**2 - i. Factor h(p).
(p - 28)**2/5
Let z(i) be the second derivative of -i**6/6 - 5*i**5/4 + 55*i**4/4 + 385*i**3/6 + 100*i**2 - 385*i. Factor z(q).
-5*(q - 5)*(q + 1)**2*(q + 8)
Let z(i) = -i**2 - i + 1. Let f(v) be the third derivative of 7*v**5/60 + 5*v**4/12 - 13*v**3/6 - v**2. Let b(h) = -f(h) - 4*z(h). Factor b(p).
-3*(p - 1)*(p + 3)
Let j(p) be the third derivative of -3*p**2 + 0*p**7 + 0 - 1/360*p**6 + 0*p**3 + 0*p + 0*p**5 + 1/144*p**4 + 1/2016*p**8. Factor j(n).
n*(n - 1)**2*(n + 1)**2/6
Suppose -15 = -3*i - 3*f, -5*i - 5*f + 6*f + 37 = 0. Determine o, given that 3 - 9*o**4 + 0 - 12*o + 12*o**3 - o**2 + i*o**2 = 0.
-1, 1/3, 1
Let z(h) be the third derivative of 0 + 0*h + 0*h**3 + h**2 + 1/39*h**4 + 0*h**5 - 1/780*h**6. What is q in z(q) = 0?
-2, 0, 2
Let 8*y**3 + 1871*y**2 - 3*y**3 - 1896*y**2 = 0. Calculate y.
0, 5
Solve -146*y**2 + 8*y + 147*y**2 + 5 + 7 = 0.
-6, -2
Let q be (4 - 0)/((4 - -6)/5). Let f(k) be the first derivative of 0*k**q 