*4 = 0. What is d?
-1, 0, 1, 2
Let f be (-4)/(-4) + ((-4)/(-1) - 5). Factor f*v + 2 - 3 - 2*v + 2*v**2 - 3.
2*(v - 2)*(v + 1)
Let o = 6486808/9 - 720756. Solve 0 + o*g**3 - 16/9*g**2 + 0*g + 2/9*g**4 = 0 for g.
-4, 0, 2
Suppose -10*b + 150*b - 283 = -3. Let r(l) be the second derivative of 1/4*l**b + 1/120*l**5 + 7/36*l**3 + 0 + 16*l + 5/72*l**4. Find h such that r(h) = 0.
-3, -1
Let q(l) be the second derivative of l**6/10 - 39*l**5/2 - 541*l**4/4 + 335*l**3 - 65*l - 9. Solve q(p) = 0 for p.
-5, 0, 1, 134
Let p = -2/8999 + 9009/44995. Let n(r) be the first derivative of 1/20*r**4 - 13 + 3/10*r**2 + 1/5*r + p*r**3. Suppose n(l) = 0. Calculate l.
-1
Suppose -2160 = -40*i + 13*i. Suppose i = 69*x - 58. Factor -2/5*f**3 - 2/5*f**x + 2/5*f + 2/5.
-2*(f - 1)*(f + 1)**2/5
Let l(g) be the third derivative of -1/24*g**6 + 25/12*g**4 + 0 + 0*g - 72*g**2 + 0*g**3 - 1/4*g**5. Suppose l(d) = 0. What is d?
-5, 0, 2
Let f(v) be the third derivative of -v**5/300 + 193*v**4/120 + 97*v**3/15 - 866*v**2. Solve f(o) = 0.
-1, 194
Let k be (8/84 - 0)*((-5143)/(-74) + -29). Solve k*l**3 + 0*l**2 + 3/7*l**5 + 0 + 0*l - 18/7*l**4 = 0.
0, 3
Suppose -31*v + 37*v + 48 = 0. Let m be (v/(-28))/((-4)/(-28)). Factor 116*d + 2*d**3 + 16*d**m - 116*d.
2*d**2*(d + 8)
Solve -38*h**2 - 45*h + 3*h**4 + 212*h**2 + 120 + 240*h + 41*h**3 + 4*h**3 + 57*h = 0 for h.
-10, -2, -1
Let i(j) = 5*j + 38. Let z be i(-5). Factor 15*q - 2*q + 19 + q - 18 - z - 2*q**2.
-2*(q - 6)*(q - 1)
Suppose l - 4 = 310*o - 313*o, 2*o - l = 6. Let j(r) be the first derivative of -2/21*r**3 + 11 + 0*r**o - 1/21*r**6 + 0*r + 1/14*r**4 + 2/35*r**5. Factor j(b).
-2*b**2*(b - 1)**2*(b + 1)/7
Factor 10584/5*w**3 + 777924/5*w + 0 + 4/5*w**5 + 148176/5*w**2 + 336/5*w**4.
4*w*(w + 21)**4/5
Let v(w) be the third derivative of 17*w**6/360 - 257*w**5/180 - 137*w**4/18 + 34*w**3/9 + 9*w**2 + 16*w. Factor v(n).
(n - 17)*(n + 2)*(17*n - 2)/3
Let q be -5*(-3 + 1176/(-20)). Let u = -306 + q. Factor 0 + 1/4*p**u + 0*p**2 + 0*p - 1/4*p**5 + 0*p**4.
-p**3*(p - 1)*(p + 1)/4
Factor -12/5*u + 0 - 1/5*u**3 - 13/5*u**2.
-u*(u + 1)*(u + 12)/5
Let l = 502808 + -502803. Solve 1/3*a**l + 0*a - 2/3*a**2 + 2/3*a**4 - 1/3*a**3 + 0 = 0 for a.
-2, -1, 0, 1
Suppose 0 = 85*m - 24*m - 122. Let w = 515/2 - 253. Factor l - w*l**m - l**3 + 9/2*l**4 + 0.
l*(l - 1)*(l + 1)*(9*l - 2)/2
Determine g, given that 169*g**2 - 675769 - 1287*g - 126098 + 164*g**2 - 1815*g - 336*g**2 = 0.
-517
Let r be ((-73)/6 - 225/270) + 15. Factor 4/7*s**r + 0*s - 36/7.
4*(s - 3)*(s + 3)/7
Let y be 252/(-210) + (-176)/(-55). Solve -20/7 - 1/7*m**y - 3*m = 0.
-20, -1
Factor 28/15*b + 2/5*b**2 + 32/15.
2*(b + 2)*(3*b + 8)/15
Factor 26*n + 2*n**2 - 78*n + 278 - 72*n - 107*n - 49*n.
2*(n - 139)*(n - 1)
Let t(i) = -2*i**3 - 3368*i**2 + 705578*i + 1424666. Let o(d) = -d**3 - 3368*d**2 + 705579*d + 1424667. Let k(g) = 6*o(g) - 5*t(g). Factor k(c).
4*(c - 422)**2*(c + 2)
Let k(q) be the third derivative of -3*q + 3/4*q**3 + 1/720*q**6 - 1/120*q**5 - q**2 + 0 - 1/16*q**4. Factor k(n).
(n - 3)**2*(n + 3)/6
Let c(g) = -g**2 - 67*g - 1029. Let k be c(-43). Let v(x) be the first derivative of -18*x + 15/2*x**2 - x**k + 20. Find j such that v(j) = 0.
2, 3
Factor 0 + 31/3*j**3 - 1/3*j**4 + 0*j + 0*j**2.
-j**3*(j - 31)/3
Let s = -19491824/17 - -1146578. Factor -s*f**3 - 384/17 - 38/17*f**2 - 224/17*f.
-2*(f + 3)*(f + 8)**2/17
Suppose 10*v + 24 = 4*b + 6*v, 5*b = -5*v. Let i be ((-2)/(-5))/((3/(-1))/(-15)). Factor -2/9*c**i - 4/9*c + 2/9*c**b + 0.
2*c*(c - 2)*(c + 1)/9
Let r = 189/2671 - -1348/18697. Factor -3/7*b**2 - r*b**3 - 5/7 + 9/7*b.
-(b - 1)**2*(b + 5)/7
Let o(m) be the third derivative of 0 + 0*m**3 + 0*m - 1/20*m**5 + 0*m**4 + 7/240*m**6 - 113*m**2 - 1/420*m**7. Factor o(p).
-p**2*(p - 6)*(p - 1)/2
Suppose -5*y = -6*y - 5*x + 12, -4*y + 5*x - 2 = 0. Suppose y*h - 5*i = 9, -4*i + 7 - 17 = -3*h. Suppose -8/7 - 2/7*f**h - 8/7*f = 0. What is f?
-2
Factor -3 + 1/6*p**4 - 31/6*p**2 - 43/6*p - 5/6*p**3.
(p - 9)*(p + 1)**2*(p + 2)/6
Let l(x) be the third derivative of -x**2 - 53/120*x**6 - 32/3*x**3 + 3/140*x**7 + 17/5*x**5 - 10*x**4 - 30*x + 0. Factor l(f).
(f - 4)**3*(9*f + 2)/2
Solve 42/5*v**3 + 3/5*v**5 + 0*v - 24/5*v**2 - 21/5*v**4 + 0 = 0 for v.
0, 1, 2, 4
Let c be ((23/92)/((-171)/(-152)))/(8/90). Factor 45 + 45/2*d + c*d**2.
5*(d + 3)*(d + 6)/2
Let s = 1913/295 - -113/59. Solve 18/5*d**4 - 3/5*d**5 + 6/5 + 48/5*d**2 - 27/5*d - s*d**3 = 0.
1, 2
Let a(s) be the first derivative of -85 + 63/20*s**5 - 9/4*s**3 + 9/16*s**6 - 231/32*s**4 - 9*s + 51/4*s**2. Determine q so that a(q) = 0.
-6, -1, 2/3, 1
Let x = 2886838/3 - 962275. Factor -14/3*z**4 - x*z**3 + 0*z + 0 + 0*z**2 - 1/3*z**5.
-z**3*(z + 1)*(z + 13)/3
Let l(s) be the third derivative of -s**5/30 + 551*s**4/12 - 366*s**3 - 11664*s**2. Factor l(m).
-2*(m - 549)*(m - 2)
Let l = 67 - 935/14. Let d = 5/7 - l. Let 1/2*f**2 - d*f + 0 = 0. Calculate f.
0, 1
Suppose 3*d = -k - 4*k + 42, -5*k + 5*d + 50 = 0. Suppose 0 = 3*u - 6*u + k. Find t, given that -2/11*t**u + 2/11 - 6/11*t + 6/11*t**2 = 0.
1
Let h(n) be the third derivative of 2*n**7/105 - 49*n**6/150 + 2*n**5 - 64*n**4/15 - 64*n**3/15 + 1005*n**2 + n. Find g such that h(g) = 0.
-1/5, 2, 4
Let m(w) be the first derivative of 2*w**5 - 245*w**4/4 + 40*w**3 + 1263. Let m(l) = 0. What is l?
0, 1/2, 24
Let b(l) = -2*l - 10. Let c(x) = 4*x + 20. Let u(t) = -5*b(t) - 2*c(t). Let z be u(-4). Factor -4*r**4 + 9*r**4 + 3*r**2 - 2*r**z - 6*r**2.
5*r**2*(r - 1)*(r + 1)
Suppose 3*r - 11 = -2*x, 0 = 3*r + 3*x + 4 - 13. Let y(v) be the first derivative of 0*v + 0*v**3 - 4 - 1/6*v**6 - 3/5*v**r + 0*v**2 + 0*v**4. Factor y(m).
-m**4*(m + 3)
Solve 4096/3*i + 3*i**3 - 1364/3 - 1027*i**2 = 0 for i.
2/3, 341
Let o(k) be the first derivative of k**5/20 + k**4/16 - 4*k**3/3 - 2*k**2 + 777. Factor o(p).
p*(p - 4)*(p + 1)*(p + 4)/4
Let b be (-45)/((-16335)/66) + 3*2/33. Suppose 2/11*q**2 + b - 6/11*q = 0. What is q?
1, 2
Let j = -18 - -20. Suppose i + 31 = 3*g + 6*i, -3*i = -j*g - 11. Determine l so that 0*l**5 + 6*l**4 + l**5 + g*l**3 + l**3 - 2*l**4 = 0.
-3, -1, 0
Let g(h) be the second derivative of -22*h**2 + 4*h**4 - 2/15*h**6 + 0 - 2*h**5 + 102*h + 20/3*h**3. Factor g(s).
-4*(s - 1)**2*(s + 1)*(s + 11)
Suppose 5*k + 31 + 119 = -5*p, p - k + 34 = 0. Let u be 9 - (-3 + (-228)/p). Determine h, given that -3/2 - 9/2*h - u*h**2 - 9/4*h**3 - 3/8*h**4 = 0.
-2, -1
Find q, given that 118/3*q**2 - 46/3*q + 2/3*q**4 + 46/3*q**3 - 40 = 0.
-20, -3, -1, 1
Determine q so that -21*q**3 - 170*q**4 - 10*q + 341*q**4 - 45*q**2 - 170*q**4 - 13*q = 0.
-1, 0, 23
Let n(b) be the first derivative of 11*b**4/16 + 58*b**3/3 + 431*b**2/8 + 105*b/2 + 2887. Factor n(k).
(k + 1)**2*(11*k + 210)/4
Suppose -8*f + 9*f - 4*t = -379, -5*f + 2*t - 1859 = 0. Let b be 2/(-4)*f + 2 + 0. Factor 225/2*c + 45/2*c**2 + b + 3/2*c**3.
3*(c + 5)**3/2
Let t(x) = -8*x + 19. Let z be t(3). Let w(s) = -s**2. Let c(k) = -10*k**2 - 70*k + 160. Let r(h) = z*w(h) + c(h). Solve r(y) = 0.
-16, 2
Let a(n) = n**3 + n + 1. Let s(u) = -4*u**3 + 32*u**2 + 90*u - 6. Let v(c) = -6*a(c) - s(c). Factor v(i).
-2*i*(i + 4)*(i + 12)
Let c = 76065/448 - 10647/64. Let k = -17 - -35. Find r such that 156/7*r - 39/7*r**3 + 33/7*r**4 - k*r**2 - c = 0.
-2, 2/11, 1, 2
Let y = 103 + -73. Suppose 18 = 3*w + 3*o, -w - 4*w - o = -y. Determine j so that -2 + 2 - w*j + 2*j**3 + 10*j + 6*j**2 = 0.
-2, -1, 0
Let b be (-265)/(-20) - (-13)/((-65)/35). Let w(q) be the first derivative of b*q**4 + 10*q**2 - q**5 + 0*q - 40/3*q**3 + 6. Solve w(h) = 0 for h.
0, 1, 2
Solve 2/13*z**3 - 2/13*z - 10/13*z**2 + 10/13 = 0.
-1, 1, 5
Let x be 4*21594/(-72) - 4/(-6). Let s = x + 1203. Suppose 0*v**s + 1/5*v**3 + 0 - 1/10*v**5 - 1/10*v + 0*v**2 = 0. Calculate v.
-1, 0, 1
Suppose 72*h = 34*h + 28*h + 40. Let x(y) be the second derivative of 12*y + 0 - y**3 + 1/3*y**h + y**2. Find s, given that x(s) = 0.
1/2, 1
Let w be (-30)/(-50) + ((-834)/(-10) - 2). Let t = w - -27. Suppose -4*p**2 - t - p**2 - 3*p + 104 - 7*p = 0. What is p?
-1
Let h(z) be the first derivative of 0*z + 11/10*z**2 - 1/20*z**4 - 2/3*z**3 + 54. What is i in h(i) = 0?
-11, 0, 1
Let k(a) = a**2 - 9*a + 7. Let z(n) = -9*n. Let r be z(-1). Let v be k(r). Factor 11*l - v*l**2 + 2*l**2 + 6 - 36 + 14*l.
-5*(l - 3)*(l - 2)
Let x(w)