0, 2
Suppose 27 = -6*k + 141. Let g = -15 + k. Factor -12*v**2 + 1 + 4*v**g + 5 + 8*v - 6.
4*v*(v - 1)**2*(v + 2)
Let f(n) be the third derivative of -n**5/135 - 85*n**4/27 - 14450*n**3/27 + 823*n**2. Factor f(s).
-4*(s + 85)**2/9
Let v = 38 + -33. Suppose 0 = -v*w + 3*w. Solve w*f + 0*f - 2*f**3 + 5*f**3 - 3*f**4 = 0 for f.
0, 1
Suppose 3*y + 9 = 12. Let m be -4 - 28/(-4) - y. Solve 1875*q - 1873*q - 4*q**2 + 2 + m*q**5 + 0*q**2 - 4*q**3 + 2*q**4 = 0.
-1, 1
Let q be ((-224)/120)/1 + (12 - 10). Let s(n) be the second derivative of 0 + 39*n + 1/60*n**4 + q*n**3 - 1/2*n**2. What is l in s(l) = 0?
-5, 1
Let n(w) be the first derivative of -2*w**3/7 - 564*w**2/7 - 53016*w/7 + 1028. Suppose n(m) = 0. What is m?
-94
Factor 142 + 150 - 181 - u**2 - 164*u + 390.
-(u - 3)*(u + 167)
Let s(w) be the third derivative of -1/165*w**6 + 0*w + 0*w**3 + 0 + 0*w**4 - 1/165*w**5 - 1/462*w**7 + 76*w**2 - 1/3696*w**8. Factor s(i).
-i**2*(i + 1)*(i + 2)**2/11
Let q = -28751 - -28753. Factor -1/8*w**q - 3/2*w + 0.
-w*(w + 12)/8
Let l be (15 - 17) + 30/5. Find b, given that -b**l - 25*b**3 + 30*b**2 - 2*b**4 - 2*b**3 - 26*b + 26*b = 0.
-10, 0, 1
Let c(k) be the first derivative of -k**5 + 185*k**4/4 - 590*k**3 + 1520*k**2 + 14720*k + 2814. Factor c(x).
-5*(x - 23)*(x - 8)**2*(x + 2)
Solve 1408*c**3 + 440*c - 147178*c**4 - 43064*c + 20736 + 147158*c**4 - 23600*c**2 = 0.
-2, 2/5, 36
Let f be 9204/208 + (-1)/4. Determine a, given that f*a - 80 - 91*a - 3*a**2 + 34*a + 8*a**2 + 43*a = 0.
-8, 2
Let s = 401 + -399. Suppose 2*v**2 - 19 - 3*v**s - 11 + 54 - 20 = 0. What is v?
-2, 2
Let q(u) be the second derivative of -3*u**5/140 + 3*u**4/28 + 7*u**3/2 + 135*u**2/14 + 1202*u. Suppose q(g) = 0. Calculate g.
-5, -1, 9
Let a(o) be the third derivative of o**5/120 + 25*o**4/3 - 401*o**3/12 - 1929*o**2. Solve a(f) = 0 for f.
-401, 1
Let k(x) = x**2 - 107*x - 9794. Let a be k(166). Factor -3*p**2 - 3/5*p**4 + a - 6/5*p - 12/5*p**3.
-3*p*(p + 1)**2*(p + 2)/5
Suppose f = w + 2, 2*f - 10 = w - 3*f. Suppose 4*j - 116 + 108 = w. Factor 441/4*h - 63/4*h**j - 1029/4 + 3/4*h**3.
3*(h - 7)**3/4
Solve -1/3*b**2 + 5/3*b**4 - 4/3 - 1/3*b**5 + 8/3*b - 7/3*b**3 = 0 for b.
-1, 1, 2
Let s be (-104)/(-40) - -3*(-4)/20. Factor 0 - c**4 - 1/2*c**3 + c**s + 0*c + 1/2*c**5.
c**2*(c - 2)*(c - 1)*(c + 1)/2
Let b be (-1620)/(-16740)*(-186)/(-9). Let 87/4 - 45/2*u + 3/4*u**b = 0. Calculate u.
1, 29
Let l(r) be the third derivative of r**5/30 + 165*r**4/4 + 494*r**3/3 + r**2 - 10*r - 15. Factor l(p).
2*(p + 1)*(p + 494)
Suppose 4*k + 469 = 5*b + 253, -5*k = -2*b + 66. Suppose -50*t + 47*t + 12 = 0. What is s in -b + 72*s + 9/4*s**t - 15*s**2 - 12*s**3 + 3/4*s**5 = 0?
-4, 1, 2
Determine s so that -118/13*s**2 - 40/13*s - 114/13*s**3 + 2/13*s**5 + 0 - 34/13*s**4 = 0.
-1, 0, 20
Suppose 125*u = 118*u. Let j be 0 - 24/8*(-1 - u). Suppose 0*i + 0 - 1/2*i**j + i**2 = 0. What is i?
0, 2
Let s(g) be the second derivative of 11/6*g**3 + 0*g**2 + 22*g - 7/660*g**5 + 0 - 1/1980*g**6 + 0*g**4. Let b(x) be the second derivative of s(x). Factor b(k).
-2*k*(k + 7)/11
Let l = -1749094/3 - -583034. Factor 2*w**2 + 50/3*w + 4 - l*w**3.
-2*(w - 3)*(w + 2)*(4*w + 1)/3
Solve -2/9*l**5 - 14/3*l**4 + 136/9 - 142/9*l**3 - 94/9*l**2 + 16*l = 0 for l.
-17, -2, -1, 1
Let r be (-294)/539 - 2/924*-254. Let q(y) be the second derivative of -1/10*y**5 - r*y**7 - 2/55*y**6 - 18*y + 0 + 0*y**2 - 1/11*y**4 + 0*y**3. Solve q(s) = 0.
-3, -2, -1, 0
Let v(b) = b**3 - 29*b**2 + 2*b - 55. Let c be v(29). Factor 3*o**4 + o**3 - 21 + 8*o**3 + 10*o**c + 60*o - 7*o**3 - 54*o**2.
3*(o - 1)**3*(o + 7)
Let x be (0 - -1) + 2/10. Let w(n) = -n**2 - 430*n - 17999. Let v be w(-47). Factor x + 4/5*h + 2/15*h**v.
2*(h + 3)**2/15
Let g be (1*-4)/(222 + -224). Let f(m) be the third derivative of 0*m - 1/6*m**5 - 2*m**3 - 14*m**g + 0 - 17/12*m**4. Solve f(u) = 0.
-3, -2/5
Let t be 32 - (127840/(-611))/(-17). Factor -68/13*d**3 - 192/13*d - 240/13*d**2 + t - 6/13*d**4.
-2*(d + 4)**3*(3*d - 2)/13
Let k(x) be the third derivative of x**7/420 - x**6/48 - 11*x**5/15 - 13*x**4/3 - 70*x**2 + 8. Factor k(w).
w*(w - 13)*(w + 4)**2/2
Let v(q) be the first derivative of -25*q**5 - 12675*q**4/2 - 423315*q**3 + 775710*q**2 - 468180*q + 3295. Find s, given that v(s) = 0.
-102, 3/5
Let c(l) be the third derivative of -44/9*l**3 + 1/90*l**5 - 5/9*l**4 + 0*l - 193*l**2 + 0. Factor c(s).
2*(s - 22)*(s + 2)/3
Let m be (-2)/3*(-9)/30. Let x be 0*(12 + (-138)/12). Suppose 0*j + x + 3/5*j**4 + 0*j**3 - m*j**5 - 4/5*j**2 = 0. Calculate j.
-1, 0, 2
Suppose 4*f - 2*w - 2 = w, 0 = w - 2. Factor -f - 292*q**3 + 259*q**3 + q**4 + 5 - 34*q**2 - 3.
q**2*(q - 34)*(q + 1)
Let z(b) = -6*b**2 - 24*b + 30. Let w(v) be the first derivative of v**3/3 + 5*v**2/2 - 6*v + 237. Let m(q) = 22*w(q) + 4*z(q). Factor m(s).
-2*(s - 6)*(s - 1)
Suppose 2*x = -3*i + 24, -22*i - x = -19*i - 21. Suppose 2*c - i = 5*s, -14*s + 19*s = 4*c - 12. Factor -1/7*m**5 - 1/7*m + 2/7*m**3 + 0*m**4 + s + 0*m**2.
-m*(m - 1)**2*(m + 1)**2/7
Let a(n) be the first derivative of -6/11*n**3 - 8/11*n + 2/55*n**5 + 28 - 1/22*n**4 - n**2. Factor a(h).
2*(h - 4)*(h + 1)**3/11
Suppose 8 = 4*i, 2*r - 5*i = -2*i + 2. Let o(k) = -k**3 + 6*k**2 + 2*k - 8. Let l be o(6). Factor -18*p**3 - 39*p**2 - 14*p + 7*p + r*p**l - 12 - 7*p**4 - 29*p.
-3*(p + 1)**2*(p + 2)**2
Let j(g) be the third derivative of -g**5/360 - 223*g**4/72 + 149*g**3/12 - 1403*g**2. Factor j(s).
-(s - 1)*(s + 447)/6
Let k = 166/29 - 129/58. What is i in -3*i + 1/2*i**2 - k = 0?
-1, 7
Find v, given that -5/4*v**3 + 1535/4*v**2 + 1515 - 1520*v = 0.
2, 303
Let a(p) = -15*p + 2. Let w be a(0). Suppose -w*m = -2*n - 8, 0 = -4*n + 80 - 88. Suppose -2/3*j**m + 4/9 - 10/9*j = 0. What is j?
-2, 1/3
Let d(f) = 4*f**3 + 28*f**2 - 611*f + 561. Let w(s) = -4*s**3 - 32*s**2 + 612*s - 560. Let t(g) = -8*d(g) - 9*w(g). Factor t(r).
4*(r - 6)*(r - 1)*(r + 23)
Solve 1304/9*k - 434/3 - 2/9*k**2 = 0 for k.
1, 651
Let s(i) be the third derivative of i**8/168 - i**7 + 1351*i**6/30 + 1457*i**5/15 - 901*i**4/4 - 2809*i**3/3 - 587*i**2. Determine r so that s(r) = 0.
-1, 1, 53
Let g be (-33 - -6)*2/(-9). Let b(v) be the third derivative of 0*v - 2/105*v**7 + 0*v**4 - 1/15*v**g - 11*v**2 - 1/15*v**5 + 0*v**3 + 0. Factor b(o).
-4*o**2*(o + 1)**2
Let v(g) be the third derivative of g**7/210 + 13*g**6/96 + g**5/20 - 65*g**4/96 - 2*g**3/3 - g**2 + 56. Determine o so that v(o) = 0.
-16, -1, -1/4, 1
Let i be ((-34)/(-3) - 12)/(1428/(-1008)). Solve 0 - 2/17*z**3 + 0*z - 2/17*z**5 + 12/17*z**2 - i*z**4 = 0.
-3, -2, 0, 1
Let o(x) be the second derivative of x**7/28 + 7*x**6/10 + 18*x**5/5 - 7*x**4/4 - 49*x**3/4 + 54*x - 9. Let o(p) = 0. What is p?
-7, -1, 0, 1
Let p(u) be the first derivative of u**5/25 + u**4/5 + 1009. Factor p(o).
o**3*(o + 4)/5
Let q(k) be the third derivative of k**6/80 - 2*k**5/3 + 143*k**4/16 + 38*k**3/3 + 4992*k**2. Factor q(a).
(a - 19)*(a - 8)*(3*a + 1)/2
Let d(s) be the third derivative of 0 + 22/525*s**7 + 1/10*s**6 + 13*s - 38/15*s**4 - 7/15*s**5 + 1/420*s**8 - 24/5*s**3 - 4*s**2. Find y, given that d(y) = 0.
-9, -2, -1, 2
Let w(n) = -n**3 + 26*n**2 - 26*n + 27. Let v be w(25). Factor 78 + 60*q + 946 + 4*q**v + 68*q.
4*(q + 16)**2
Suppose 2*k - k = 27. Let r = -24 + k. Determine x so that -9*x**r + 5*x**2 + 0*x + 4*x - x + x**2 = 0.
-1/3, 0, 1
Let f(l) = -6*l**2 + 5*l - 3. Suppose 0 = 2*k - 6*k. Suppose k = 6*t - 5 - 37. Let n(z) = -5*z**2 + 4*z - 3. Let i(m) = t*n(m) - 6*f(m). Factor i(h).
(h - 3)*(h + 1)
Let q(l) be the second derivative of l**5/110 + 31*l**4/22 + 30*l**3/11 - 184*l**2/11 - 85*l - 2. Solve q(g) = 0 for g.
-92, -2, 1
Suppose 3*f = 5*f + 7*f. Solve -3*s**3 + f*s**3 + 3*s**4 - 12*s + 6*s**3 + 6*s**3 = 0 for s.
-2, 0, 1
Suppose -3*n + 3*v + 17 = -37, -20 = -5*v. Let o be n/63 + (-82)/(-861). Solve -o*j**2 + 0*j + 0 - 4/9*j**3 = 0.
-1, 0
Let h be ((-208)/195 + (-6)/10)*(-12)/5. Let v(z) be the third derivative of 20*z**2 + 1/60*z**5 + 0*z + 0 + 0*z**3 - 1/8*z**h. Factor v(u).
u*(u - 3)
Let k(x) = 701*x - 49067. Let c be k(70). Factor -8/3*s**2 + 2/3*s + 8/3 - 2/3*s**c.
-2*(s - 1)*(s + 1)*(s + 4)/3
Let t be (-9*(-11)/(-594))/(10/(-15)). Solve -4 - t*z**2 - 2*z = 0.
-4
Let k(f) be the first derivative of 229 - 2/45*f**5 + 0*f**2 + 0*f + 0*f**3 + 1/9*f**4. Factor 