**2*(f - 3)*(f - 1)/3
Suppose -3*z = 6 - 24. Factor 12*i - z*i + i**2 - 5*i**2 + 2*i**2.
-2*i*(i - 3)
Let g(a) = -6*a**2 + 13*a**2 - 15 - 22 - 16*a - 8*a**2. Let o be g(-13). Factor 23*i**o - i**3 - 20*i - 6*i**3 + 11 - 7.
-(i - 2)*(i - 1)*(7*i - 2)
Let s be (-30)/(-1440)*((-9)/(-3) + -1). Let v(m) be the first derivative of -1/8*m**2 + s*m**3 - 5 - 3/8*m. Factor v(i).
(i - 3)*(i + 1)/8
Let h be (-31 + 33)/((-56)/(-42)*42/64). Find s, given that 26/7*s**2 + 2/7 - h*s - 12/7*s**3 = 0.
1/6, 1
Let j(i) be the third derivative of i**8/4480 + 5*i**7/1008 + 7*i**6/240 - i**5/6 - 11*i**4 + 97*i**2. Let b(y) be the second derivative of j(y). Factor b(g).
(g + 4)*(g + 5)*(3*g - 2)/2
Let y be -4 + (-462)/(-119) - 70/(-17). What is c in -757*c**2 + 0*c**3 + 60*c + 2*c**4 + 8*c**y + 657*c**2 + 35*c**3 - 5*c**5 = 0?
-3, 0, 1, 2
Let d(m) be the first derivative of 7*m**4/2 - 676*m**3/3 - 2172*m**2 + 1296*m + 9. Factor d(j).
2*(j - 54)*(j + 6)*(7*j - 2)
Let c(p) be the first derivative of 2/15*p**3 + 24 + 0*p + 0*p**2. Factor c(t).
2*t**2/5
Let -23*b**5 + 35*b - 20*b**3 - 70*b**4 + 91*b**2 - 20 + 35*b**5 - 15*b**5 - 12*b**5 - b**2 = 0. What is b?
-4, -1, 1/3, 1
Let a(h) be the first derivative of 5/2*h**2 - 10/3*h**3 - 113 - 5/4*h**4 + 10*h. Solve a(i) = 0 for i.
-2, -1, 1
Determine q so that 828*q**2 + 824*q**2 - 70*q + 828*q**2 + 251 - 3 - 2478*q**2 = 0.
4, 31
Let u(d) = 35*d**2 + 664*d + 15. Let v(i) = 9*i**2 + 166*i + 5. Let r(n) = -2*u(n) + 9*v(n). Factor r(w).
(w + 15)*(11*w + 1)
Let c(k) = -209*k + 9616. Let n be c(46). Let s(v) be the first derivative of 4/45*v**3 - 1/30*v**4 + 1/15*v**n - 4/15*v + 18. Factor s(y).
-2*(y - 2)*(y - 1)*(y + 1)/15
Let n(z) be the third derivative of -z**6/24 - 47*z**5/4 - 115*z**4/4 + 700*z**3/3 - 3504*z**2. Factor n(i).
-5*(i - 1)*(i + 2)*(i + 140)
Let k(n) be the third derivative of -n**8/252 - 572*n**7/315 - 1136*n**6/5 + 286*n**5/45 + 20449*n**4/18 + 26*n**2 + 7. Find h, given that k(h) = 0.
-143, -1, 0, 1
Let z(p) be the first derivative of -2*p**5/5 + 5*p**4/2 - 14*p**3/3 + 3*p**2 - 204. Factor z(r).
-2*r*(r - 3)*(r - 1)**2
Let r(j) = 9*j**2 - 9*j + 5. Let h(k) = -k - 4. Let y be h(-6). Let z(o) = -74*o**2 + 2*o - 7 + 11*o + 60*o**y. Let m(p) = 7*r(p) + 5*z(p). Factor m(c).
-c*(7*c - 2)
Suppose 2 = 4*m - 3*m. Let z be (-40)/(-18) - m/9. Factor -n + 2*n**2 - 4*n**z - 60 - 6*n + 57.
-(n + 3)*(2*n + 1)
Let f(r) be the second derivative of r**9/52920 - 2*r**7/2205 + 4*r**5/105 - 41*r**4/12 - 13*r. Let m(n) be the third derivative of f(n). Factor m(z).
2*(z - 2)**2*(z + 2)**2/7
Let d(n) be the third derivative of n**6/40 + 419*n**5/20 + 209*n**4/4 + 2*n**2 - 214*n. Suppose d(h) = 0. What is h?
-418, -1, 0
Factor -g**4 - 3*g**4 - 506821*g**3 - 4*g + 3*g**2 + 506825*g**3 + 1.
-(g - 1)*(g + 1)*(2*g - 1)**2
Let o be 0/(-1) + -3 + (-45)/(-5). Suppose 5*y - o = -3*n + 5, y - 7 = n. Factor -3 + 87*c**3 + 5*c - 9*c**2 + y*c - 84*c**3.
3*(c - 1)**3
Let i = 3661/1578 + 142/789. Factor -i*b + 1/2*b**3 + 1/2*b**2 + 3/2.
(b - 1)**2*(b + 3)/2
Let c be (-8 - (-119)/(-14))*-2. Suppose -14*l + 23 = -c. Let -3/8*z**2 - 3/4*z + 3/4*z**3 + 0 + 3/8*z**l = 0. What is z?
-2, -1, 0, 1
Let l(d) be the second derivative of d**6/135 + 8*d**5/45 + 47*d**4/54 - 136*d**3/27 - 176*d**2/3 + 10*d - 49. Suppose l(k) = 0. Calculate k.
-11, -4, 3
Let j(t) be the third derivative of -t**6/36 + t**5/20 + t**4/6 - 16*t**3/3 + 47*t**2. Let o(v) be the first derivative of j(v). Suppose o(d) = 0. What is d?
-2/5, 1
Let q(r) = -8*r**4 + 22*r**3 + 35*r**2 + 10*r. Let h(s) = 9*s**4 - 21*s**3 - 36*s**2 - 12*s. Let p(f) = 5*h(f) + 6*q(f). Find o, given that p(o) = 0.
-1, 0, 10
Let w(y) be the first derivative of -4*y**5/5 - 10*y**4 - 52*y**3/3 + 48*y**2 - 829. Factor w(b).
-4*b*(b - 1)*(b + 3)*(b + 8)
Factor 3/2*q**2 + 174*q - 351/2.
3*(q - 1)*(q + 117)/2
Let p(q) be the third derivative of -q**7/245 + 29*q**6/420 + 47*q**5/210 - 29*q**4/84 - 44*q**3/21 + 7261*q**2. Find r such that p(r) = 0.
-4/3, -1, 1, 11
Factor s - 23 + 2*s**3 + 650*s**2 - 4*s - 627 + 4*s - 3*s.
2*(s - 1)*(s + 1)*(s + 325)
Let b(y) = -4*y**2 + 1543*y + 598971. Let c(r) = -r**2 - r - 21. Let i(x) = b(x) - 5*c(x). Factor i(u).
(u + 774)**2
Factor 18*n**2 + 504 + 1/3*n**3 + 180*n.
(n + 6)**2*(n + 42)/3
Suppose -7*k + 80 - 66 = 0. What is p in -24*p + 19*p**k - 31*p + 11*p + 17*p**2 - 38*p**2 - 242 = 0?
-11
Let 2/11*m**5 + 30080/11*m**2 + 294912/11 + 120/11*m**4 + 2760/11*m**3 + 153600/11*m = 0. What is m?
-16, -6
Suppose 2 - 1 = o, 0 = -j - 5*o - 34. Let u = 47 + j. Factor -4*d**3 + 4*d - 5*d**2 - d**4 + 2*d - u*d.
-d*(d + 1)**2*(d + 2)
Let r(h) = -h**3 - 36*h**2 + 4860*h. Let u be r(-90). Factor -5/3*w**4 - 25*w**2 + 35/3*w**3 + 15*w + u.
-5*w*(w - 3)**2*(w - 1)/3
Let x(g) be the first derivative of -35*g**4/32 + 391*g**3/24 + 171*g**2/8 + 9*g - 9734. Solve x(a) = 0 for a.
-3/7, -2/5, 12
Let k(z) be the first derivative of -6*z + 3/4*z**4 + 2*z**3 - 3/2*z**2 + 38. Factor k(v).
3*(v - 1)*(v + 1)*(v + 2)
Solve -3*t + t - 150832*t**3 + 150853*t**3 - 4*t + 39*t**2 = 0 for t.
-2, 0, 1/7
Let i(h) = -5*h**2 + 33*h - 6. Let l(a) = 3*a**2 - 35*a + 6. Let r be -1*(3 + -5 + 0). Let k(b) = r*l(b) + 3*i(b). Factor k(m).
-(m - 3)*(9*m - 2)
Factor 163490 - 2*x**3 + 24646 + 108025*x + 2*x**3 + 22114 + 5*x**3 + 1460*x**2.
5*(x + 2)*(x + 145)**2
Let m = 47 - 39. Let n(t) = t**3 - 9*t**2 + 10*t - 12. Let z be n(m). Let -v**3 - z*v**3 + 2*v**2 + 0*v**2 + v**3 = 0. What is v?
0, 1/2
Let d(q) be the third derivative of 0*q - 2 - 1/5*q**5 - 59*q**2 + 0*q**3 - 3/8*q**4. Find r such that d(r) = 0.
-3/4, 0
Let t(m) = 21*m**4 - 72*m**3 - 30*m**2 + 11*m - 13. Let o(x) = 2*x**4 - x**3 + x**2 - 1. Let g(b) = 52*o(b) - 4*t(b). Factor g(w).
4*w*(w + 1)*(w + 11)*(5*w - 1)
Let g = 458 + -458. Suppose 0 = 3*w - 5*w + 4*j, 3*w + 5*j - 11 = g. Factor -2/3*m**w - 8*m - 24.
-2*(m + 6)**2/3
Let w(p) = -p**3 + 5*p**2 - 5*p + 3. Let k be w(3). Suppose 0 = k*l - 15*l. Solve -2 + 12*g + l*g - 13 + 3*g**2 = 0 for g.
-5, 1
Suppose 24*c = -5*c + 24 + 34. Let s(v) be the second derivative of -7*v + 1/4*v**4 + 0 + 0*v**c + v**3. Factor s(q).
3*q*(q + 2)
Let r(t) be the first derivative of 4*t**5/5 + 122*t**4/5 - 276*t**3/5 + 56*t**2/5 + 208*t/5 - 930. Solve r(p) = 0.
-26, -2/5, 1
Let d(o) be the second derivative of -o**6/75 - 9*o**5/25 - 2*o**4 + 40*o**3/3 - 2*o + 1194. Factor d(w).
-2*w*(w - 2)*(w + 10)**2/5
Suppose -1/2*w**2 - 207/2 - 16*w = 0. Calculate w.
-23, -9
Determine u, given that 13/7*u**2 - 1/7*u**3 + 214/7*u + 368/7 = 0.
-8, -2, 23
Suppose 819*p + 2572 - 32875 = 0. Let -13/2 - 51/2*x + 1/2*x**5 - p*x**2 - 23*x**3 - 9/2*x**4 = 0. Calculate x.
-1, 13
Let x = 14373/11 + -1308. Let q = x + 89/33. Factor 2/3*l**2 + 0 - q*l.
2*l*(l - 2)/3
Factor -15/2*v + 3/2*v**2 + 9.
3*(v - 3)*(v - 2)/2
Let q(n) = 8*n**3 + 32*n**2 + 27*n + 14. Let v(w) be the second derivative of w**5/20 + w**4/12 - w**2 + 32*w. Let t(y) = -q(y) - 4*v(y). Factor t(j).
-3*(j + 2)*(2*j + 1)**2
Let k(r) be the second derivative of 0*r**3 + 7*r - 1/12*r**5 + 0*r**4 + 0 + 7/2*r**2. Let n(v) be the first derivative of k(v). Suppose n(i) = 0. What is i?
0
Let r(b) be the second derivative of b**6/720 + 31*b**5/360 + 85*b**4/48 + 25*b**3/4 - 25*b**2 - 28*b. Let w(o) be the first derivative of r(o). Factor w(h).
(h + 1)*(h + 15)**2/6
Let j(g) be the third derivative of -3025/6*g**3 + 55/12*g**4 - 50*g**2 + 0 - 1/60*g**5 + 2*g. Factor j(m).
-(m - 55)**2
Let t(s) = -65*s**2 - 4 - 4 + 7 + 63*s**2. Let u(h) = -16*h**2 - 7*h - 9. Let f(k) = 6*t(k) - u(k). Solve f(y) = 0.
-1, -3/4
Let i = -144541/7 + 20649. Let p(l) be the first derivative of 30 + i*l + 1/21*l**3 - 3/14*l**2. Factor p(v).
(v - 2)*(v - 1)/7
Let g(j) be the third derivative of 0*j - 1/380*j**6 - 1/114*j**5 + 0 + 0*j**3 - 60*j**2 - 1/114*j**4 + 1/1995*j**7 + 1/3192*j**8. Factor g(q).
2*q*(q - 2)*(q + 1)**3/19
Let h(p) be the third derivative of -5/6*p**3 + 21*p**2 + 0*p**6 + 1/6*p**5 + 0*p + 0*p**4 - 1/42*p**7 + 2. Find b, given that h(b) = 0.
-1, 1
Determine h, given that 1/8*h**4 + 15/8*h - 13/8*h**2 - 3/8*h**3 + 0 = 0.
-3, 0, 1, 5
Let v = 632 + -605. Let j be (-2 + (-237)/(-117))*(v + -21). Determine u, given that -112/13*u**2 + j*u**5 + 64/13*u**3 - 18/13*u**4 + 96/13*u - 32/13 = 0.
1, 2
Let i(j) = -j**3 + 35*