 + 8*l/3 - 30. Factor d(g).
(g - 1)**4*(g + 16)/6
Suppose -4*j - 4*y + 28 = 0, -y + 3*y + 6 = 3*j. Factor 2*m**3 - 6*m - 22*m**2 + 8*m**2 + 2*m**3 - 2*m**j - 14*m**3.
-2*m*(m + 1)**2*(m + 3)
Suppose 0*n = 5*n - 15. Determine r, given that -12*r**2 - r + 24*r**n - 28*r**3 - 7*r = 0.
-2, -1, 0
Let m be 0/(((-15)/(270/(-24)))/((-4)/(-6))). Suppose m - 2/9*s + 4/9*s**2 - 2/9*s**3 = 0. Calculate s.
0, 1
Let i(r) be the second derivative of 0 - 1/6*r**4 + 10*r + 3*r**2 + 2/3*r**3. Factor i(p).
-2*(p - 3)*(p + 1)
Factor 0 - 2/3*m + 1/3*m**4 - m**2 + 0*m**3.
m*(m - 2)*(m + 1)**2/3
Let t = -47 - -66. Find u such that 4*u + 0 + 18*u**5 + 232*u**3 + 15*u**4 - 254*u**3 + 4 + 0*u - t*u**2 = 0.
-1, -2/3, 1/2, 1
Let k(j) be the first derivative of 4*j**5/35 + 17*j**4/7 + 268*j**3/21 + 174*j**2/7 + 144*j/7 - 212. Find x such that k(x) = 0.
-12, -3, -1
Let k(x) be the third derivative of -22*x**5/135 - 7*x**4/27 - x**3/9 + 472*x**2. Factor k(o).
-2*(2*o + 1)*(22*o + 3)/9
Let y(p) be the first derivative of p**4/2 + 2*p**3 - 4*p**2 - 698. Solve y(n) = 0.
-4, 0, 1
Let f(d) be the third derivative of 1/60*d**6 + 1/105*d**5 + 0*d + 0 - 2/21*d**3 - 5*d**2 - 1/12*d**4. Factor f(m).
2*(m - 1)*(m + 1)*(7*m + 2)/7
Let j = 1/526 - -4199/4734. Factor -98/9*s**4 + 2/3*s**2 - j - 40/9*s + 140/9*s**3.
-2*(s - 1)**2*(7*s + 2)**2/9
Let j be (-2)/6*6/(-8). Let c = 2155 + -2153. Factor -j*z**4 + 0*z - 1/4*z**5 + 1/4*z**3 + 0 + 1/4*z**c.
-z**2*(z - 1)*(z + 1)**2/4
Suppose 0*i**2 + 0 - 6/13*i**3 - 2/13*i**5 + 8/13*i**4 + 0*i = 0. What is i?
0, 1, 3
Let n = 8552 - 2693878/315. Let l(j) be the third derivative of 0*j + 2/9*j**3 + 0*j**6 + 8*j**2 + 0 + 0*j**4 - 2/45*j**5 + n*j**7. Factor l(z).
4*(z - 1)**2*(z + 1)**2/3
Factor -15*y - 4*y**2 + 10*y + 5*y**4 + 5*y**3 + 0*y - y**2.
5*y*(y - 1)*(y + 1)**2
Let h(l) = -26*l**4 - 70*l**3 + 520*l**2 - 904*l + 464. Let s(c) = -5*c**4 - 14*c**3 + 104*c**2 - 181*c + 93. Let n(i) = -3*h(i) + 16*s(i). Solve n(m) = 0.
-12, 1, 2
Factor 48*m**2 - 1/3*m**5 - 27*m - 46/3*m**3 + 0 - 16/3*m**4.
-m*(m - 1)**2*(m + 9)**2/3
Let o(b) be the first derivative of 1/9*b**6 + 0*b**2 + 0*b**4 + 2/15*b**5 - 6 + 0*b + 0*b**3. Factor o(v).
2*v**4*(v + 1)/3
Let n(w) = -w**3 - 6*w**2 + 16*w + 8. Let x be n(-8). Suppose -2*m**2 - 50*m + 24*m - x - 4*m**2 = 0. Calculate m.
-4, -1/3
Let o(q) = 8*q**2 + 34*q + 32. Let y(u) = u**2. Let g(j) = -o(j) + 6*y(j). Factor g(f).
-2*(f + 1)*(f + 16)
Let u(a) be the first derivative of -a**4/10 - 4*a**3/5 - 9*a**2/5 + 368. Suppose u(w) = 0. Calculate w.
-3, 0
Suppose -17*m - 4*m**2 + 8*m + 9*m + 8*m**3 - 5*m**4 + m**5 = 0. What is m?
0, 1, 2
Let s be ((-6)/4)/(3/(-4)). Let a = -2 - -5. Factor -9 + a - 9*q - 5*q**s + 2*q**2.
-3*(q + 1)*(q + 2)
Let r be 7 + (-2)/2 - (-165)/(-35). Factor -r*y**2 + 3/7*y**3 - 3/7*y + 3/7*y**4 + 6/7.
3*(y - 1)**2*(y + 1)*(y + 2)/7
Let f(z) = 2*z**2 + 5*z - 9. Let k(o) be the first derivative of -2*o**3/3 - 2*o**2 + 10*o - 15. Let g(t) = 4*f(t) + 6*k(t). Find x such that g(x) = 0.
-3, 2
Suppose -3*l = -4*x - 20, -12 = l + x - 7. Let r(a) be the third derivative of -3*a**2 + l*a - 1/15*a**3 - 1/50*a**5 + 0 - 1/20*a**4 - 1/300*a**6. Factor r(d).
-2*(d + 1)**3/5
Let x(a) be the third derivative of -a**6/72 - 53*a**5/180 - 5*a**4/12 + 422*a**2. Factor x(d).
-d*(d + 10)*(5*d + 3)/3
Let r(k) = 10*k**5 - 5*k**3 - 5*k**2 + 5. Let j = 50 - 46. Let v(n) = 9*n**5 - n**4 - 6*n**3 - 4*n**2 + 4. Let b(f) = j*r(f) - 5*v(f). Factor b(i).
-5*i**3*(i - 2)*(i + 1)
Suppose 4*l**3 - 102*l**2 - l**4 + 28*l**2 + 14*l + 51*l**2 + 6*l**3 = 0. Calculate l.
0, 1, 2, 7
Let k = 18949/3 - 6315. Let -4/3*q**5 - 8/3*q**2 + 0*q + k*q**3 + 8/3*q**4 + 0 = 0. What is q?
-1, 0, 1, 2
Let i(y) be the third derivative of y**6/200 + 11*y**5/20 + 783*y**4/40 + 729*y**3/10 - 69*y**2. Suppose i(b) = 0. What is b?
-27, -1
Let a(q) be the second derivative of -154/3*q**3 - 25/6*q**6 - 32*q - 135/2*q**4 + 0 - 155/4*q**5 - 20*q**2. Solve a(w) = 0 for w.
-5, -2/5
Factor -3/5*r**3 - 9/5 - 3*r**2 - 21/5*r.
-3*(r + 1)**2*(r + 3)/5
Let z(p) be the third derivative of 0*p - 1/30*p**5 - 1/2*p**3 - 2*p**2 + 1/12*p**4 + 1/180*p**6 + 0. Let g(h) be the first derivative of z(h). Factor g(a).
2*(a - 1)**2
Factor 0*h**2 + 3 + 29 - 14 + 3*h**2 - 21*h.
3*(h - 6)*(h - 1)
Let i = 2/2401 + 1027/2401. Let 0 + 3/7*l**2 + i*l = 0. Calculate l.
-1, 0
Let s(m) be the third derivative of -125*m**5/3 - 25*m**4/3 - 2*m**3/3 + 73*m**2. Factor s(y).
-4*(25*y + 1)**2
Let z = -57 - -130. Let t = z + -73. Determine s, given that 6/5*s**3 - 2*s**2 - 2/5*s**5 + 2/5*s**4 + 4/5*s + t = 0.
-2, 0, 1
Let b = -601 - -604. Let u(a) be the second derivative of 0*a**2 + 2/15*a**6 + 4*a - 1/3*a**b + 0 + 5/12*a**4 + 11/20*a**5. Find p such that u(p) = 0.
-2, -1, 0, 1/4
Factor 14/3 - 14/3*h**2 - 2/3*h + 2/3*h**3.
2*(h - 7)*(h - 1)*(h + 1)/3
Let f(k) be the second derivative of k**5/15 + k**4/3 + 2*k**3/3 + 9*k**2 + 31*k. Let g(p) be the first derivative of f(p). Determine x so that g(x) = 0.
-1
Let j(k) be the second derivative of k**6/10 + 7*k**5/40 - k**4/24 - k**3/6 - 543*k. Solve j(s) = 0 for s.
-1, -2/3, 0, 1/2
Let d(c) be the first derivative of -1/3*c**3 - 4*c + 5/2*c**2 - 4. Solve d(z) = 0 for z.
1, 4
Let s(w) be the third derivative of w**7/42 - w**6/24 - w**5/3 + 5*w**4/6 - 2*w**2 - 24*w. Suppose s(z) = 0. Calculate z.
-2, 0, 1, 2
Let a = -7803 + 23417/3. Factor -a*u**2 + 2/3*u**3 - 4/3 + 10/3*u.
2*(u - 2)*(u - 1)**2/3
Factor 16*m + 2*m**2 - 78*m - 3*m**2 - 183*m + m - 14884.
-(m + 122)**2
Suppose 5*i - 21 = -5*x + x, 5*x - 48 = i. Suppose 13 + r**3 - 3*r - x + r + r**3 - 4*r**2 = 0. Calculate r.
-1, 1, 2
Suppose y + 2*y = 15. Suppose 9 = y*l - 1. Factor -9 + 2*p - 2*p**l + 9.
-2*p*(p - 1)
Let m(b) be the second derivative of 5/2*b**3 - 3/4*b**4 - 6*b - 7/2*b**2 + 1/20*b**5 - 3. What is x in m(x) = 0?
1, 7
Let d be 5 - 20/5 - -3. Let -30*n**5 - 29*n**4 + 9*n - 6 + 33*n**2 - d*n**4 - 30*n**4 - 15*n**3 = 0. What is n?
-1, 2/5, 1/2
Let n(y) be the second derivative of 2*y**7/21 + 2*y**6/5 - y**5/5 - y**4 + 28*y. Factor n(m).
4*m**2*(m - 1)*(m + 1)*(m + 3)
Let x(n) be the third derivative of n**6/150 - n**5/15 - 7*n**4/15 + 2*n**2 + 230*n. Factor x(g).
4*g*(g - 7)*(g + 2)/5
Suppose v + 1/5*v**2 + 4/5 = 0. Calculate v.
-4, -1
Let i = -244 + 314. Let s = 352/5 - i. Solve -1/5*b**5 - 1/5*b**3 + 0*b**2 + s*b**4 + 0*b + 0 = 0 for b.
0, 1
Let l be -20*(-6)/4*(-8)/(-12). Find v such that 64 - 60*v**3 + 45*v**4 - 31 + l*v**2 - 33 - 10*v**5 = 0.
0, 1/2, 2
Let r(c) be the third derivative of -c**5/30 + c**4/4 - 2*c**3/3 + 2*c**2 - 2*c. Factor r(q).
-2*(q - 2)*(q - 1)
Let y(l) be the third derivative of l**5/66 - 97*l**4/132 + 38*l**3/33 - 142*l**2 + 1. Factor y(n).
2*(n - 19)*(5*n - 2)/11
Let b(t) be the first derivative of -t**9/3024 + t**7/280 + t**6/180 + 20*t**3/3 - 2. Let k(g) be the third derivative of b(g). Suppose k(a) = 0. Calculate a.
-1, 0, 2
Let d(p) be the first derivative of -3*p - 1/21*p**4 - 4/7*p**3 + 9 - 18/7*p**2. Let z(k) be the first derivative of d(k). Factor z(o).
-4*(o + 3)**2/7
Let p = 54 + -26. Factor -9*z**3 + 8*z**4 - 32*z**2 + 15*z**5 - 11*z**5 + z**3 - 8 - p*z.
4*(z - 2)*(z + 1)**4
Let u(g) be the second derivative of -3*g**5/20 - g**4/2 + 11*g**3/2 + 18*g**2 + 5*g - 29. Factor u(d).
-3*(d - 3)*(d + 1)*(d + 4)
Let l(o) be the first derivative of -14/3*o**3 + 6 - o**2 + 0*o. Factor l(m).
-2*m*(7*m + 1)
Suppose -2*v + 37 - 37 = 0. Suppose -4*o + v*z + 2 = 2*z, -z + 1 = 5*o. Factor o + 4/11*p**2 - 2/11*p**3 - 2/11*p.
-2*p*(p - 1)**2/11
Let f(m) be the second derivative of -1/180*m**5 - 5/108*m**4 + 27*m - 1/18*m**3 + 0 + 1/2*m**2. Determine w so that f(w) = 0.
-3, 1
Factor 0 + 1/2*f**4 + 2*f**3 - 1/2*f**2 - 2*f.
f*(f - 1)*(f + 1)*(f + 4)/2
Let a(c) be the second derivative of -c**4/42 - 2*c**3/7 + 16*c**2/7 - 3*c - 10. Factor a(w).
-2*(w - 2)*(w + 8)/7
Let o(a) be the first derivative of 330*a**2 + 385*a**4 - 2630/3*a**3 - 49*a**5 + 1 - 45*a. Determine d, given that o(d) = 0.
1/7, 3
Let d be 4 + 66/(-18) + 3/(-9). Suppose d = 98*k - 101*k. Let k - 4*h**5 + 20/3*h**3 - 8/3*h + 4/3*h**2 - 4/3*h**4 = 0. What is h?
-1, 0, 2/3, 1
Let v(l) = -11*l**3 + 25*l**2 - 122*l + 108. Let g(d) = -18*d**3 + 38*d**2 - 182*d + 162. Let f(m) = 5*g(m) - 8*v(m). Factor f(s).
-2*(s - 3)*(s 