(j + 3)/3
Let i(z) be the first derivative of 2*z**3/9 - 26*z**2 + 1014*z - 46. Factor i(h).
2*(h - 39)**2/3
Suppose 0*o + 9/5*o**3 + 1/5*o**5 + 0 - 4/5*o**2 - 6/5*o**4 = 0. What is o?
0, 1, 4
Let x = -1228 + 1231. Let a(u) be the first derivative of -1/2*u**4 + 4/3*u**x - 3 - u**2 + 0*u. Factor a(k).
-2*k*(k - 1)**2
What is d in -18/7*d**3 - 40/7*d**2 - 4/7 - 26/7*d = 0?
-1, -2/9
Let g(d) be the second derivative of -9/80*d**5 + 1/3*d**3 + 10*d + 1/2*d**2 - 1/16*d**4 + 0. Factor g(j).
-(j - 1)*(3*j + 2)**2/4
Suppose 31*m - 34*m = 48. Let p be 2*3*(-8)/m. Factor -k + k**2 + 0 - 1/4*k**p.
-k*(k - 2)**2/4
Factor 6 + 9*z**3 + 19*z - 6*z**2 - 21*z - 7*z**3.
2*(z - 3)*(z - 1)*(z + 1)
Let r be -3*1/(6/(-148)). Factor -2 - 5*x**2 - r*x + 2 + 64*x.
-5*x*(x + 2)
Let b = -502 + 507. Let h(o) be the third derivative of 0 - 1/36*o**b + 0*o + 2/9*o**3 - 1/9*o**4 - 10*o**2. Factor h(q).
-(q + 2)*(5*q - 2)/3
Let d(a) be the third derivative of a**7/105 - a**6/20 - a**5/30 + a**4/4 - 47*a**2. Factor d(q).
2*q*(q - 3)*(q - 1)*(q + 1)
Let v(j) be the third derivative of j**5/240 - j**4/12 + 2*j**3/3 - 19*j**2. Factor v(p).
(p - 4)**2/4
Let q(k) be the third derivative of 0*k**3 + 1/100*k**5 + k**2 + 0*k + 1/600*k**6 + 0 + 1/60*k**4. Find x such that q(x) = 0.
-2, -1, 0
Let j(b) be the third derivative of b**7/525 + 7*b**6/30 + 423*b**2. Factor j(n).
2*n**3*(n + 70)/5
Suppose 4/7*t**4 + 2/7*t**5 + 0 + 0*t - 6/7*t**3 + 0*t**2 = 0. What is t?
-3, 0, 1
Factor -205*u + 3*u**2 + 2700 + 4*u**2 + 25*u - 4*u**2.
3*(u - 30)**2
Let x(n) be the first derivative of 3/2*n**2 + 0*n + n**3 + 11. Determine v so that x(v) = 0.
-1, 0
Let s(x) be the third derivative of 1/20*x**5 + 3/4*x**4 + 9/2*x**3 + 0 - 5*x**2 + 0*x. Factor s(a).
3*(a + 3)**2
Factor -75 + 6*r - 28*r + 75*r**2 + 17*r + 5*r**3.
5*(r - 1)*(r + 1)*(r + 15)
What is o in o**4 - 7*o - 5*o**2 - 89*o**3 + 20 + 51*o - 16*o**4 + 16*o + 25*o**5 + 4*o**3 = 0?
-1, -2/5, 1, 2
Let n = -15 + 24. Determine i so that -n*i**5 - 6*i**2 - 20*i + 30*i - 9*i**2 + 4*i**5 + 15*i**4 - 5*i**3 = 0.
-1, 0, 1, 2
Suppose -3*q + 9 = -s, 3*q - 7*s = -9*s + 9. Solve -o**4 + 0 - 1/2*o**2 - 5/2*o**q + o = 0.
-2, -1, 0, 1/2
Let r = 36 + -24. Factor 80*j + 133*j**3 - 4 + 234*j**2 + 29*j**3 + r.
2*(j + 1)*(9*j + 2)**2
Suppose -2*o - 12 = -2*n - o, 3*n - 7 = -4*o. Let g = -1 + n. Let -2*v - g*v + 2*v**2 + v**2 = 0. What is v?
0, 2
Let m(n) be the first derivative of -3*n**5/5 + 9*n**4/2 - 13*n**3 + 18*n**2 - 12*n + 223. Factor m(q).
-3*(q - 2)**2*(q - 1)**2
Let o be ((-6)/9)/((-4)/6). Let q(p) be the first derivative of 0 + o - p**3 + 0*p**3 - 7. Factor q(w).
-3*w**2
Suppose 4*z - r + 0 - 5 = 0, 1 = -4*z + 3*r. Let a(i) = 2*i + i + i + 12*i**z + 2. Let f(k) = -k**2. Let s(m) = -a(m) - 10*f(m). Solve s(n) = 0 for n.
-1
Let j be -28*4/(-7) + -12. Suppose 1/2*q**5 - 2*q + 3/2*q**3 - 2*q**j + 0 + 2*q**2 = 0. Calculate q.
-1, 0, 1, 2
Let q(d) = 7*d**3 - 5*d**2 + 3*d + 5. Let i(s) = -4*s**3 + 3*s**2 - 2*s - 3. Let y = 11 + -8. Let m(h) = y*q(h) + 5*i(h). Solve m(l) = 0 for l.
-1, 0, 1
Factor 38/5*d**3 + 32/5 + 2/5*d**4 + 98/5*d + 102/5*d**2.
2*(d + 1)**3*(d + 16)/5
Let q be 40*-2*(-3)/12. Let y = 25 - q. Factor -3*o**4 + 5*o**y - 7*o**5 + o**5 - 2*o**5.
-3*o**4*(o + 1)
Let m = -16207/20 - -1609/2. Let f = -28/5 - m. What is w in 0*w**2 + 0 - 1/4*w + 0*w**4 + 1/2*w**3 - f*w**5 = 0?
-1, 0, 1
Let w(i) be the third derivative of 0*i - 1/112*i**8 - 1/5*i**5 + 0*i**3 + 3/70*i**7 + 0*i**6 + i**2 + 0 + 0*i**4. Factor w(u).
-3*u**2*(u - 2)**2*(u + 1)
Let w = 37/76 + 5/19. Let t = 2979/1652 + -22/413. Let -7/4*x**4 + t*x**2 + 0 - w*x**3 + 5/4*x**5 - 1/2*x = 0. Calculate x.
-1, 0, 2/5, 1
Let x be 1/6*(1524/300 - 5). Let f(o) be the third derivative of 0*o**3 + 0 + x*o**5 - 3*o**2 - 1/300*o**6 - 1/60*o**4 + 0*o. Factor f(q).
-2*q*(q - 1)**2/5
Let b be 4 + -4 - (14 + -15)*(-4)/(-7). Determine d so that -8/7*d**2 + 4/7*d**4 + b*d**3 + 0*d + 0 = 0.
-2, 0, 1
Let q(t) be the third derivative of -t**7/560 - t**6/320 + t**5/80 + t**2 - 103. Factor q(x).
-3*x**2*(x - 1)*(x + 2)/8
Let g be (-258)/54 + (-20)/90 + 7. Factor -4/3*m**3 - 16/3 - 32/3*m - 20/3*m**g.
-4*(m + 1)*(m + 2)**2/3
Suppose -2*p - 48 + 54 = 0. Suppose 2*g - 7 = -5*r + 3, 6 = p*r + g. Let 0*o + 3/2*o**2 - r*o**3 + 0 = 0. What is o?
0, 3/4
Let i(z) be the second derivative of z**6/10 - 3*z**5/20 + 126*z. Suppose i(w) = 0. What is w?
0, 1
Let c = 1194 - 1194. Find q such that 2/3*q - 2/3*q**2 + c = 0.
0, 1
Let l = -10970 + 10972. Suppose 4 - 14/3*g + 2/3*g**3 + 0*g**l = 0. What is g?
-3, 1, 2
Let a(r) be the second derivative of -r**6/105 + r**5/7 - 4*r**4/21 - 10*r**3/21 + 9*r**2/7 - 10*r + 4. Let a(i) = 0. What is i?
-1, 1, 9
Let x be (2 - 0)/(14/189). Suppose t = 4*t - x. Find l, given that -4*l**2 + 17*l**2 + t*l - 3*l + 20*l**2 = 0.
-2/11, 0
Let g(d) be the first derivative of -9 - 27/22*d**4 - 4/11*d**2 - 12/11*d**3 + 2*d. Let t(b) be the first derivative of g(b). Factor t(w).
-2*(9*w + 2)**2/11
Let j(q) = q**2 - q - 7. Let s(n) = -36*n**2 + 177*n + 153. Let t(p) = -15*j(p) - s(p). Factor t(z).
3*(z - 8)*(7*z + 2)
Suppose -28 = -5*t - 4*y, -7*y + 3*y - 8 = -4*t. Suppose -m - 15 = -o - t*m, -2*o + 3*m = 15. Factor 2/7*f**2 + o - 2/7*f.
2*f*(f - 1)/7
Suppose -5*p + 4 = 4*g, 3*g + g = p - 20. Find s such that p - 2*s - 1 - s**2 + 6*s - 2*s = 0.
-1, 3
Let n = -5718/19 + 22929/76. Let -n*t**4 + 27/4*t**2 - 9 + 0*t**3 + 3*t = 0. Calculate t.
-2, 1, 3
Determine u, given that -2/11*u**4 - 8/11*u + 14/11*u**3 + 32/11 - 24/11*u**2 = 0.
-1, 2, 4
Let r = 6676 - 46726/7. Let w = -564/7 + 81. Solve -w*g**2 + 9/7 + r*g = 0.
-1, 3
Let f(d) be the third derivative of d**6/30 + 21*d**5/20 + 10*d**4 - 32*d**3/3 - 168*d**2. Factor f(z).
(z + 8)**2*(4*z - 1)
Let p(w) be the first derivative of 0*w**5 - w**2 + 0*w**3 + 3 + 0*w - 1/3*w**6 + w**4. Suppose p(s) = 0. Calculate s.
-1, 0, 1
Factor -1300/7*p**3 + 1296/7*p - 864/7 + 360/7*p**2 + 500/7*p**4.
4*(p + 1)*(5*p - 6)**3/7
Let a(c) be the second derivative of 4*c + 2/65*c**6 + 0*c**2 + 0 - 6/65*c**5 + 0*c**3 + 4/39*c**4 - 1/273*c**7. Factor a(o).
-2*o**2*(o - 2)**3/13
Let v be ((-2)/6)/((-2)/12). Let g be (-4)/(-3) - (-372)/(-279). Suppose -2/7*p**v + g - 2/7*p = 0. What is p?
-1, 0
Suppose 665*g**3 + 492*g**3 + 49*g + 71*g - 945*g**4 + 270*g**5 + 13*g**3 - 620*g**2 = 0. What is g?
0, 2/3, 3/2
Let z = -92 - -105. Suppose 0 = 3*m + 2*f - 22, -2*m - f = -0*m - z. Let -3*k**3 + 3*k**2 + 0 + 0*k + 3/4*k**m = 0. What is k?
0, 2
Determine m, given that -20 - 7*m**2 + 22*m + 1/2*m**3 = 0.
2, 10
Let q(o) be the second derivative of 2*o**6/15 + 12*o**5/5 + 4*o**4/3 - 128*o**3 + 512*o**2 + 207*o. Factor q(f).
4*(f - 2)**2*(f + 8)**2
Let l = -171 + 1389/8. Let m = l + -17/8. Factor 0 - i**2 - 1/2*i - m*i**3.
-i*(i + 1)**2/2
Solve 36*p - 5*p**3 + 27*p**4 - 3*p**5 + 118*p**3 + 95*p**2 - 14*p**3 + 10*p**2 = 0.
-1, 0, 12
Let p be ((-30)/40)/((-6)/16). Suppose -5*z + 5*x = -50, 3*z + 2*x = z. Factor -24 - 12*n + 2*n**2 + z*n**2 + 3*n**3 - n**p.
3*(n - 2)*(n + 2)**2
Factor -76/9 - 62/3*a + 10/9*a**2.
2*(a - 19)*(5*a + 2)/9
Let z(m) be the first derivative of -m**4/46 + 14*m**3/23 - 135*m**2/23 + 486*m/23 - 141. Find l such that z(l) = 0.
3, 9
Let q be -4*((-6)/20 - (-1)/(-5)). Let 37 - 78 - 6*d + 38 - 3*d**q = 0. Calculate d.
-1
Let b(y) be the third derivative of y**7/294 - 11*y**6/420 + y**5/140 + 11*y**4/84 - 4*y**3/21 - 3*y**2 - 29. Determine d so that b(d) = 0.
-1, 2/5, 1, 4
Let y(n) be the first derivative of -n**7/7140 - n**6/765 - n**5/204 - n**4/102 + n**3 - 8. Let u(m) be the third derivative of y(m). Factor u(i).
-2*(i + 1)**2*(i + 2)/17
Let w(f) = 2*f**3 + 20*f**2 + 3. Let s be w(-10). Suppose -s*x = -2*x + 4, -2*o - 3*x = 4. Solve -3*i**2 + 1/2*i**4 - 3/2 + 0*i**3 + o*i = 0.
-3, 1
Factor 2/7*l**5 + 0 - 164/7*l**2 - 60/7*l**4 + 54/7*l + 24*l**3.
2*l*(l - 27)*(l - 1)**3/7
Let d(f) be the third derivative of 0*f + 1/140*f**7 + 0*f**3 + 0*f**4 + 1/224*f**8 - 1/40*f**5 - 1/80*f**6 + 36*f**2 + 0. Factor d(h).
3*h**2*(h - 1)*(h + 1)**2/2
Let p be 4/40*(5 + -10)*(-8)/26. Factor -p - 2/13*v + 2/13*v**3 + 2/13*v**2.
2*(v - 1)*(v + 1)**2/13
Let d(m) be the second derivative of -1/6*m**4 - 49*m**2 - 14/3*m**3 + 0 - 9*m. Let d(o) = 0. Calculate o.
-7
Let p = 3/994 - -241/2485. Let g(a) be