/10*g**3 + 1/20*g**4 + 4*g**r. Factor s(v).
3*(v + 1)**2/5
Let f(d) be the second derivative of -d**6/24 - d**5/4 + 5*d**4/4 + 20*d**3/3 + 11*d**2 - 33*d. Let x(c) be the first derivative of f(c). Factor x(p).
-5*(p - 2)*(p + 1)*(p + 4)
Let h = 10 + -5. Suppose 28 = h*z + 4*r, -z = -6*z - 2*r + 24. Factor 0*l**z - 4*l**4 - 3*l**2 + 4*l**2 + 3*l**4.
-l**2*(l - 1)*(l + 1)
Factor 2/3*j**2 - 1/3*j - 2/3*j**4 + 1/3*j**5 + 0 + 0*j**3.
j*(j - 1)**3*(j + 1)/3
Let h(a) be the third derivative of a**8/1344 - a**6/240 + a**4/96 + 26*a**2 + 4. Factor h(u).
u*(u - 1)**2*(u + 1)**2/4
Let u be (2/(-8))/(31/(-248)). Let f(s) be the third derivative of -1/30*s**5 + 0 + 0*s + 1/180*s**6 + 4/9*s**3 - 2*s**u + 0*s**4. What is d in f(d) = 0?
-1, 2
Let q(t) be the second derivative of -t**7/21 - 4*t**6/15 + 9*t**5/10 + 8*t**4/3 - 20*t**3/3 - 18*t - 2. Solve q(y) = 0.
-5, -2, 0, 1, 2
Let b = -629 + 3775/6. Let d(m) be the first derivative of -2/3*m**2 + 3 + 0*m - 2/9*m**3 + b*m**4. Factor d(q).
2*q*(q - 2)*(q + 1)/3
Let d = -1020 + 1024. Let p(w) be the first derivative of 3*w**2 - 8 - 4*w + 2/3*w**3 + 2/5*w**5 - 3/2*w**d. Suppose p(b) = 0. What is b?
-1, 1, 2
Determine i so that 9*i - 37/4 + 1/4*i**2 = 0.
-37, 1
Let i(s) = 2*s + 49. Let l be i(-22). Solve 5*d**4 + l*d**3 - 5 + d - 11*d + 5*d**3 = 0 for d.
-1, 1
Let p(c) be the second derivative of c**7/21 + 2*c**6/5 + 4*c**5/5 - c**4/3 - 3*c**3 - 4*c**2 - c - 13. Factor p(b).
2*(b - 1)*(b + 1)**3*(b + 4)
Let m(d) be the second derivative of 11*d + 1/7*d**7 + 33/40*d**5 - 13/20*d**6 + 0*d**2 + 0*d**3 - 1/4*d**4 + 0. Find u such that m(u) = 0.
0, 1/4, 1, 2
What is o in -4/3*o**3 - 4 - 4/3*o**2 + 20/3*o = 0?
-3, 1
Let c be -7*((-1)/(-3))/(14/(-42)). Find j, given that c*j + 2 + 7 + j**2 - 17 = 0.
-8, 1
Let x be -1 + (-10)/(-3) + (62 - 64). Let f(q) be the second derivative of q**2 + 5/6*q**3 + 1/20*q**5 + 0 + x*q**4 - 4*q. Factor f(o).
(o + 1)**2*(o + 2)
Suppose 0 - 2*d**4 - 56/5*d**3 + 94/5*d**2 - 28/5*d = 0. What is d?
-7, 0, 2/5, 1
Let w be (-38)/(-589) - (-19)/186. Let o be ((-2)/(-6))/((-1)/(-6)). Determine u so that 1/6 - w*u**3 + 1/6*u - 1/6*u**o = 0.
-1, 1
Let d = 15745/6 + -2624. Factor 1/3*y**2 + 0*y + 0 - 1/2*y**3 + d*y**4.
y**2*(y - 2)*(y - 1)/6
Let g = 1887/2 + -943. Factor -1 + g*s + 1/2*s**2.
(s - 1)*(s + 2)/2
Let a(h) = 3*h**2 - 30*h + 4. Let n(d) = 1. Let b(i) = -a(i) + 4*n(i). Factor b(y).
-3*y*(y - 10)
Let a be (-2)/(-4) - 10/(-4). Let o be (-1)/a*0 + 24. Solve -4*h**3 + 0*h**2 + o*h**4 - 19*h**4 + 5*h**2 - 6*h**3 = 0.
0, 1
Let y(g) be the second derivative of -24*g + 0*g**3 + 2/21*g**7 + 0*g**4 + 0*g**6 + 0 + 0*g**5 + 0*g**2. Factor y(r).
4*r**5
Let f = 49483/40 - 1237. Let u(w) be the second derivative of f*w**5 + 14*w + 3*w**2 - 1/4*w**3 + 0 - 1/2*w**4. Find h such that u(h) = 0.
-1, 1, 4
Let c(l) = 5*l**2 + 35*l + 57. Let g(r) = 2*r**2 + 17*r + 29. Let p(o) = -3*c(o) + 7*g(o). Find f, given that p(f) = 0.
-2, 16
Suppose 0 = 3*l - 4*r - 19 - 1, -5*r + 45 = 5*l. Let z be (35/14)/(10/l). Factor -6/11*w - 2/11*w**z - 4/11.
-2*(w + 1)*(w + 2)/11
Let l(j) be the second derivative of -j**6/15 + j**4 + 8*j**3/3 + 3*j**2 + 616*j. Solve l(p) = 0 for p.
-1, 3
Let g(c) be the second derivative of c**4/24 + 2*c**3/3 + 55*c. Factor g(j).
j*(j + 8)/2
Let w(f) be the first derivative of f**3/24 + 147*f**2/8 + 21609*f/8 - 158. Factor w(m).
(m + 147)**2/8
Suppose 242*z - 244*z + 4 = 0. Let t(y) be the second derivative of 1/105*y**6 + 0*y**2 + 1/70*y**5 - 1/42*y**4 - 1/21*y**3 - z*y + 0. Factor t(j).
2*j*(j - 1)*(j + 1)**2/7
Let u = 0 + 2. Let n(x) = -19*x**3 - 2*x**2 + 3*x + 4. Let y be n(-1). Factor w**2 + u*w + y*w - 6*w**2.
-5*w*(w - 4)
Let k(n) be the second derivative of n**7/126 + n**6/18 + 7*n**5/60 + n**4/12 + 16*n + 3. Factor k(t).
t**2*(t + 1)**2*(t + 3)/3
Let s(o) = -3*o - 16. Let r be s(-7). Let x be 3*8/(r + -1). Solve 6*z**3 + 2*z**3 + 8*z - x*z**2 + 14*z**2 + 2 + 4*z**2 + 2*z**4 = 0.
-1
Let y(c) = 5*c**5 - 14*c**4 + 2*c**3 + 54*c**2 + 23*c - 10. Let k(o) = o**5 + o**4 + o**2 + 2*o + 1. Let t(s) = -2*k(s) + y(s). Suppose t(a) = 0. Calculate a.
-1, 1/3, 3, 4
Let n(h) be the third derivative of -h**5/12 + 185*h**4/12 - 6845*h**3/6 + 162*h**2. Factor n(v).
-5*(v - 37)**2
Let r = 174 - 521/3. Let s = 503/3 + -167. Factor -1/6*d**4 - 2/3*d**3 + s*d + 1/2 - r*d**2.
-(d - 1)*(d + 1)**2*(d + 3)/6
Suppose -22*o + 11 + 33 = 0. Let b(f) be the first derivative of 1/5*f**5 + 0*f**o + 0*f - 1/3*f**3 + 0*f**4 - 7. Factor b(p).
p**2*(p - 1)*(p + 1)
Suppose -6*m = -m - 15. Solve 13 + 3 - 33*j**3 - 16*j + 37*j**m - j**2 - 3*j**2 = 0 for j.
-2, 1, 2
Suppose -5*v + 70 = -280. Let s = v - 67. Factor -4/7*n + 0 + 0*n**2 + 4/7*n**s.
4*n*(n - 1)*(n + 1)/7
Suppose -3*k - 3*y = 0, 3*k - 7 - 5 = y. Factor -k*i**3 - 56*i - 10*i**2 + 56*i - 2*i**3.
-5*i**2*(i + 2)
Suppose 234 + 468 = 13*u. Let t be (-294)/(-135) - 2 - (-12)/u. Factor 4/5*s**3 - 4/5*s**2 + 6/5*s**4 - t - 6/5*s + 2/5*s**5.
2*(s - 1)*(s + 1)**4/5
Let q(o) be the second derivative of 0*o**2 - 3/20*o**5 + 1/30*o**6 + 0*o**3 + 0 - 6*o + 1/6*o**4. Let q(k) = 0. Calculate k.
0, 1, 2
Let x(f) be the second derivative of f + 4/45*f**6 + 1/5*f**5 + 2/9*f**4 + 1/9*f**3 + 1/63*f**7 + 0 + 0*f**2. Find g such that x(g) = 0.
-1, 0
Let a(d) be the first derivative of d**4/96 + d**3/16 + d**2/8 - 10*d - 16. Let j(z) be the first derivative of a(z). Factor j(f).
(f + 1)*(f + 2)/8
Determine f so that -158*f**2 - 151*f**2 + 72*f**3 - 154*f**2 + 614*f**2 - 72*f + 4*f**4 - 155*f**2 = 0.
-18, -1, 0, 1
Let u be 4/(-18)*1 + 220/(-60) + 4. Factor 1/9*w - 2/9 + u*w**2.
(w - 1)*(w + 2)/9
Let w = 1999 + -1999. Factor 6/5*g + w + 2/5*g**2.
2*g*(g + 3)/5
What is a in -8/9*a**3 + 2*a - 2*a**2 + 0 = 0?
-3, 0, 3/4
Let l(q) be the first derivative of 2*q**3/21 - 12*q**2/7 + 22*q/7 - 245. Suppose l(r) = 0. Calculate r.
1, 11
Let u = -374 + 377. Let d(k) be the third derivative of -1/240*k**5 + 13*k**2 + 0*k + 0 - 5/48*k**4 - 25/24*k**u. Solve d(j) = 0.
-5
Let b(a) be the second derivative of -a**4/54 - 17*a**3/27 - 16*a**2/9 + 282*a. Factor b(q).
-2*(q + 1)*(q + 16)/9
Let u be -1*(-2*5 + 0). Let r(b) = 122*b + 491. Let t be r(-4). Determine o so that -35*o - 2*o**2 + 5*o**5 - 1 - 17*o**2 - 9 + 10*o**4 - 21*o**2 - u*o**t = 0.
-1, 2
Suppose -107*s + 100*s = -21. Let u(k) be the first derivative of -48*k**2 + 88/3*k**s + 4/5*k**5 - 5 - 8*k**4 + 36*k. What is r in u(r) = 0?
1, 3
Suppose -3*h = -12*h + 171. Let u(r) = r**3 - 18*r**2 - 19*r. Let k be u(h). Factor -2/7*t + k + 2/7*t**2.
2*t*(t - 1)/7
Let c(v) be the second derivative of -v**4/54 - 2*v**3/9 - v**2 + 185*v. Find i, given that c(i) = 0.
-3
Let h(x) be the third derivative of -x**5/15 + 10*x**4/3 + 14*x**3 + x**2 + 148. Determine f, given that h(f) = 0.
-1, 21
Suppose 12*n = 28*n. Let u(i) be the third derivative of i**2 + 0*i + 0*i**6 - 1/840*i**7 + n*i**3 + 0*i**4 + 0*i**5 + 0. Factor u(s).
-s**4/4
Let z(i) be the second derivative of 5*i**4/12 - 20*i**3/3 - 65*i. Factor z(b).
5*b*(b - 8)
Suppose -22 + 46 = 8*w. Let a(g) be the first derivative of -2/13*g**w + 4 + 1/26*g**4 + 3/13*g**2 - 2/13*g. Solve a(z) = 0.
1
Let z be (-74)/(-71) - 22/33. Let h = z + -3/71. Factor h*p**2 - 1/2*p + 0 + 5/6*p**3.
p*(p + 1)*(5*p - 3)/6
Let x be (855/(-20))/9*-1 + -4. Factor 0 + 0*z - x*z**4 + 3/2*z**3 + 0*z**2.
-3*z**3*(z - 2)/4
Find d, given that -1 + 5*d**4 - 60*d**2 + 3 + 5 + 1 + 70*d - 33 + 10*d**3 = 0.
-5, 1
Let z(h) be the third derivative of 0 + 0*h**3 + 0*h + 1/320*h**6 - 38*h**2 - 1/80*h**5 + 1/64*h**4. Find i, given that z(i) = 0.
0, 1
Let p = 14/59 + 110/531. Let v be (6/(-5))/((-42)/1155*11). Factor 2/3*f**v + p*f**2 - 2/3*f - 4/9.
2*(f - 1)*(f + 1)*(3*f + 2)/9
Suppose -3*z + 5*z + 8 = 0. Let y be (0 - 36)/(3 + z). Factor -147*d**3 - 53*d**2 + y*d**2 - 67*d**2 + 156*d - 24 - 126*d**2.
-3*(d + 2)*(7*d - 2)**2
Let y(f) be the first derivative of -f**4/14 - 26*f**3/21 + 30*f**2/7 - 27. Factor y(u).
-2*u*(u - 2)*(u + 15)/7
Let y(c) be the first derivative of -c**5/12 - 5*c**4/6 - 6*c**2 + 31. Let k(o) be the second derivative of y(o). Factor k(r).
-5*r*(r + 4)
Factor 1/5*v**4 + 23/5*v**2 - 28/5*v - 8/5*v**3 + 12/5.
(v - 3)*(v - 2)**2*(v - 1)/5
Let d(i) be the third derivative of 0 - 22*i**2 + 0*i**4 - 1/15*i**5 + 0*i**3 + 1/30*i**6 + 0*i. F