/5*h**5 - 1/2*h**2. Factor k(g).
-(g - 1)**2*(g + 1)**3
Suppose 0 = 4*w - 2*w. Let m(t) = -t**2 + 3. Let u be m(w). Suppose 8*p + 8*p**2 + 13*p**u + 18*p**4 - 18*p**5 - 67*p**3 + 34*p**4 + 4*p**5 = 0. What is p?
-2/7, 0, 1, 2
Let f be 24/56 - (-1 - (-10)/7). Factor 8/17*c**3 - 2/17*c**4 + 0 + f*c - 8/17*c**2.
-2*c**2*(c - 2)**2/17
Let w(z) be the third derivative of z**9/30240 + z**8/480 + 7*z**7/120 + 343*z**6/360 + z**5/6 - 22*z**2. Let i(d) be the third derivative of w(d). Factor i(y).
2*(y + 7)**3
Let l(i) = 4*i**2 + i - 3. Let n(x) be the second derivative of x**4/3 + x**3/3 - x**2 + 10*x. Let w(z) = 6*l(z) - 5*n(z). Factor w(h).
4*(h - 2)*(h + 1)
Let q(f) be the third derivative of 1/12*f**5 + 0*f + 0 + 5/6*f**4 + 15*f**2 + 5/2*f**3. Factor q(y).
5*(y + 1)*(y + 3)
Let a(n) be the first derivative of n**3/3 - 71*n**2/2 - 72*n - 129. Factor a(g).
(g - 72)*(g + 1)
Solve -6483584/5 + 131424/5*a - 888/5*a**2 + 2/5*a**3 = 0.
148
Let d(g) = 2*g**3 + 3*g**2 - 3*g - 4. Let n be d(-3). Let f be (4/6)/(n/(-99)). Factor 2*l**2 + 0*l**3 + 0*l**f + 0*l**2 + 2*l**3.
2*l**2*(l + 1)
Suppose 2*n + 3*c = 67, 2*c + 11 = n - 19. Factor -n - 8*s - 1/2*s**2.
-(s + 8)**2/2
Let v(i) be the second derivative of 4*i**3/3 - 60*i**2 - 2*i - 23. Let x be v(15). What is p in -2/7*p**3 + x - 2/7*p**2 + 2/7*p + 2/7*p**4 = 0?
-1, 0, 1
Suppose -18*f + 2 = -17*f. Let -8 + 2*p + 6 + 8 - p**3 - 6*p**f - p**3 = 0. Calculate p.
-3, -1, 1
Let l(k) = -15*k**4 - 145*k**3 - 560*k**2 - 250*k + 150. Let s(y) = -y**3 + y**2 - y - 5. Let i(r) = l(r) + 30*s(r). Factor i(u).
-5*u*(u + 4)*(u + 7)*(3*u + 2)
Let y(j) be the first derivative of -2/3*j + j**2 - 8 + 8/9*j**3. Solve y(x) = 0.
-1, 1/4
Find o, given that -12*o + 64*o + 96 + 6983*o**3 - 7135*o**3 - 6*o**4 - 190*o**2 = 0.
-24, -1, 2/3
Let u(v) be the third derivative of -v**7/840 + 7*v**6/960 - v**5/120 - v**4/48 - 3*v**2 + 12. Factor u(x).
-x*(x - 2)**2*(2*x + 1)/8
Let k be 8883/70 + 6/(-15). Let y = -125 + k. Factor 0*l + 0 - y*l**2.
-3*l**2/2
Factor 0 - 3/4*p**2 + 69/4*p.
-3*p*(p - 23)/4
Suppose -4*u + 49 - 1 = 4*w, 5*w - 72 = -u. Suppose -w*y + 3/2*y**2 + 75/2 = 0. Calculate y.
5
Suppose -9 = -4*v + v. What is i in 25*i**4 - 6*i**2 + 10*i + 51*i**2 + 42*i**v + 18*i**3 = 0?
-1, -2/5, 0
Find i, given that 72/7 + 46/7*i + 2/7*i**3 - 24/7*i**2 = 0.
-1, 4, 9
Let f(c) be the third derivative of c**6/30 - 13*c**5/30 + 9*c**4/4 - 6*c**3 + c**2 + 12. Factor f(w).
2*(w - 3)*(w - 2)*(2*w - 3)
Solve -2/5*r - 2/5*r**2 + 12/5 = 0 for r.
-3, 2
Suppose 2*v = 4, 2*t = 7*t - 3*v - 4. Let -3 + 14*x**3 - 3*x + 0 - 3*x**t - 11*x**3 + 6 = 0. Calculate x.
-1, 1
Let z(x) = 4*x - 2. Let s be z(1). Suppose a - 6*a + 10 = s*d, 3*a - 6 = 4*d. Factor -7/2*q**5 + 0*q**a - q**3 + 0 - 9/2*q**4 + 0*q.
-q**3*(q + 1)*(7*q + 2)/2
Let m(t) = -3*t + 63. Let z be m(0). Let q be (-16)/6*(z/(-70))/3. Suppose 2/5*p + q*p**3 + 6/5*p**2 + 0 = 0. Calculate p.
-1, -1/2, 0
Let g(y) be the first derivative of 12/11*y**2 - 35 - 72/11*y - 2/33*y**3. What is c in g(c) = 0?
6
Let d be 120/(-18)*((-18)/4)/3. Suppose 5*v + d = -4*r, 2 = -v - r - 1. Solve -6/5*o + 0 - 3/5*o**v = 0.
-2, 0
Let x = 24795 - 24793. Factor 1/5*l**x + 2 + 7/5*l.
(l + 2)*(l + 5)/5
Let q be 12/16 - ((-28)/(-16) + -1). Solve q + 12/5*y**2 + 3/5*y**3 + 12/5*y = 0 for y.
-2, 0
Let l(k) be the first derivative of k**8/5880 + k**7/2940 - k**6/315 - k**5/105 - 11*k**3/3 + 6. Let g(c) be the third derivative of l(c). Factor g(h).
2*h*(h - 2)*(h + 1)*(h + 2)/7
Suppose 0 = -3*x - 0*x + 6. Suppose -3*l - x = -5*l + h, -5*h = -20. Factor 163*q + 53*q + 1247*q**2 + l - 275*q**2 + 13 + 1458*q**3.
2*(9*q + 2)**3
Let t(x) be the third derivative of x**7/252 - 7*x**6/180 + 11*x**5/120 - x**4/72 - 2*x**3/9 - 90*x**2. Factor t(j).
(j - 4)*(j - 1)**2*(5*j + 2)/6
Suppose 5*c + 5*a = 4*a + 10, 4*c + 3*a = 8. Suppose -3*d = 2*q - c, -5*q = 2*d + 3*d - 10. Find g such that 1/3*g + g**3 - 1/3*g**q - g**2 + 0 = 0.
0, 1
Let t be -15*((-2)/24 - 4/16). Let l(h) be the second derivative of -1/48*h**4 + 1/80*h**5 + 0 + 0*h**3 + t*h + 0*h**2. What is r in l(r) = 0?
0, 1
Let g be (((-84)/35)/(6/(-15)))/((-42)/(-28)). Factor 12/11*t**3 - 2/11*t**g - 8/11 - 26/11*t**2 + 24/11*t.
-2*(t - 2)**2*(t - 1)**2/11
Let m be 8 + 9 - (-1 + 2). Let w be -3*(4/m)/(20/(-16)). Let 0 - 9/5*f**5 + w*f - 12/5*f**4 + 6/5*f**3 + 12/5*f**2 = 0. Calculate f.
-1, -1/3, 0, 1
Let z(h) be the first derivative of h**6/9 - h**4/6 - 83. Let z(i) = 0. What is i?
-1, 0, 1
Let r(g) = 4*g**2 + 3*g**2 + 4 + 4*g + 4*g**4 + 1 - 6*g**2 - 4*g**3. Let b(k) = -3 + 3 - 2*k**4 + 2*k**3 - 2*k - 2. Let n(h) = 10*b(h) + 4*r(h). Factor n(s).
-4*s*(s - 1)**2*(s + 1)
Let s(h) be the second derivative of 0 + 0*h**2 - 1/8*h**3 - 7/48*h**4 - 44*h. Factor s(y).
-y*(7*y + 3)/4
Let m(z) = -z**3 + 10*z**2 - z. Let y be 23/4 - (-4)/16. Let u(b) = -11*b**2 - 1. Let f be (-3)/(36/(-46)) - 5/(-30). Let j(s) = f*u(s) + y*m(s). Factor j(v).
-2*(v - 2)*(v - 1)*(3*v + 1)
Solve -244*o**3 + 13*o**2 + 241*o**3 + 6*o - 10*o**2 = 0.
-1, 0, 2
Let h = -41 - -46. Factor h + 28*p**2 - 17*p**3 - 64*p**4 - 5 + 49*p**3 + 4*p.
-4*p*(p - 1)*(4*p + 1)**2
Suppose g - 28 = -2*l, -4*g + l - 140 = -9*g. Let u be (-33)/(-36) + g/(-42). Suppose u + 1/4*a - 1/2*a**2 = 0. What is a?
-1/2, 1
Let s(j) = -14*j - 306. Let q be s(-22). Let p(v) be the second derivative of 2*v + 3/2*v**q + 0*v**3 - 1/4*v**4 + 0. Factor p(a).
-3*(a - 1)*(a + 1)
Let b(q) be the second derivative of 3*q**5/20 + q**4/6 - q**3/6 - 2*q**2 - 4*q. Let v(s) = -3*s**3 - s**2 + 2*s + 5. Let u(z) = -5*b(z) - 4*v(z). Factor u(c).
-3*c*(c + 1)**2
Let k be ((-12)/60*-1)/((-1)/(-10)). Let j(g) be the first derivative of -1/4*g**4 - 1/3*g**3 + g + 1/2*g**k + 7. Factor j(a).
-(a - 1)*(a + 1)**2
Suppose 13*p = 23*p - 20. Factor -2/7*d**p - 6/7*d + 8/7.
-2*(d - 1)*(d + 4)/7
Let l = -41/17 + 1388/357. Let r = -4/3 + l. Find x, given that 0 - 1/7*x**3 - r*x**2 + 2/7*x = 0.
-2, 0, 1
Solve 4/19 - 6/19*y + 2/19*y**3 + 0*y**2 = 0 for y.
-2, 1
Let g(y) be the second derivative of -y**4/3 - 8*y**3/3 + 24*y**2 - 54*y. Factor g(d).
-4*(d - 2)*(d + 6)
Let r(f) be the first derivative of 256*f**5/5 + 272*f**4 + 1028*f**3/3 + 104*f**2 + 12*f + 49. Factor r(v).
4*(v + 1)*(v + 3)*(8*v + 1)**2
Solve -72/13*d + 648/13 + 2/13*d**2 = 0.
18
Suppose -2*i = 4*d - 7 - 5, 2*i = 5*d + 3. Let t = 80 + -78. Find h, given that 10*h - 30*h - 16*h**4 + 8*h**t + 14*h**2 - i*h**3 + 26*h**2 - 8 = 0.
-2, -1/4, 1
Suppose 15*c - 14*c = -3*y - 3, -5*y = 2*c + 6. Let m(j) be the first derivative of y*j**2 + 0*j - j**5 + 5/3*j**3 + 5/6*j**6 - 2 - 5/4*j**4. Factor m(z).
5*z**2*(z - 1)**2*(z + 1)
Suppose -2*m = -3*v - 4, 0*v + 5*v - 2*m = 0. Let y = 4 - v. Let -8*x - 2*x**4 + 16 - 8*x**3 - 29 + 11 - 12*x**y = 0. Calculate x.
-1
Let i(g) = g**2 - 4*g + 6. Let x be i(2). Factor -8*q**x - 4*q**2 + 3*q**3 - 3*q + 4 + 8.
3*(q - 4)*(q - 1)*(q + 1)
Let w(f) be the third derivative of -f**6/1020 + f**4/68 + 2*f**3/51 - 34*f**2 + 1. Solve w(d) = 0 for d.
-1, 2
Let k(r) = 4*r**4 - 73*r**3 - 329*r**2 - 624*r - 320. Let q(i) = i**4 - 18*i**3 - 83*i**2 - 156*i - 80. Let u(o) = -6*k(o) + 26*q(o). Factor u(d).
2*(d - 20)*(d + 1)*(d + 2)**2
Let h(u) be the third derivative of -u**8/672 - u**7/15 - 73*u**6/60 - 172*u**5/15 - 176*u**4/3 - 512*u**3/3 - 216*u**2. Factor h(n).
-(n + 2)**2*(n + 8)**3/2
Let l(z) be the first derivative of -2*z**6/3 + 28*z**5/5 + 17*z**4 + 12*z**3 + 118. Factor l(a).
-4*a**2*(a - 9)*(a + 1)**2
Let r(h) be the third derivative of 5*h**6/6 - 16*h**5/3 - 38*h**4/3 - 32*h**3/3 - 81*h**2. Factor r(y).
4*(y - 4)*(5*y + 2)**2
Let k = -18 - -20. Solve 20 + 30*n**3 + 85*n**k + 220/3*n = 0 for n.
-3/2, -2/3
Let b(s) = -s**2 + 12*s + 12. Let o(w) = -13*w - 35*w - 2*w**2 - 48 + 5*w**2. Let k(r) = 15*b(r) + 4*o(r). Find d, given that k(d) = 0.
-2
Find w such that 8/17 - 14/17*w + 4/17*w**2 + 2/17*w**3 = 0.
-4, 1
Let n(z) be the first derivative of 5*z**4/4 - 20*z**3 + 105*z**2/2 - 50*z + 251. Find k, given that n(k) = 0.
1, 10
Let o = -14574 - -14574. Let 1/5*g**3 + o*g**2 + 0*g + 0 = 0. Calculate g.
0
Let n = 5525/12 + -460. Let m(c) be the second derivative of 5*c**2 - 8*c - 5/2*c**3 + 0 + n*c**4. What is v in m(v) = 0?
1, 2
Let p(i) be the first derivative of i**6/10 + 3*i**5/10 - 2*i**4 - 16*i - 22. 