-2*(a - 3)*(a - 1)*(a + 1)
Let g(z) be the first derivative of -11*z - 2/3*z**3 + 1/3*z**4 - 4*z**2 - 4. Let r(m) be the first derivative of g(m). Factor r(x).
4*(x - 2)*(x + 1)
Let 4*i**3 + 18*i**2 + 0*i + 1/4*i**4 - 108 = 0. Calculate i.
-6, 2
Let k = 18 + -27. Let i(h) = -21*h**2 - 12*h + 15. Let y(q) = -5*q**2 - 3*q + 4. Let f(l) = k*y(l) + 2*i(l). Solve f(d) = 0.
-2, 1
Let l(i) be the third derivative of i**7/560 + i**6/96 + 7*i**5/480 - i**4/48 - i**3/12 - 14*i**2 + 4. Let l(h) = 0. Calculate h.
-2, -1, 2/3
Let o(c) be the second derivative of -c**7/280 + c**6/30 - c**5/8 + c**4/4 + 2*c**3 + 2*c. Let n(q) be the second derivative of o(q). Find g such that n(g) = 0.
1, 2
Let d(p) be the first derivative of 1 + 0*p**3 - 2/7*p**2 + 2/35*p**5 + 1/7*p**4 - 2/7*p. Suppose d(j) = 0. What is j?
-1, 1
Let o = 10 + -1. Let v be (-2)/o*1*-9. Factor -2*m + 101*m**2 - 2*m - 95*m**v - 2*m**3.
-2*m*(m - 2)*(m - 1)
Let l be 5*(-1)/((-10)/4). Suppose 0 = 38*k - 55*k + 85. Factor -k*m**3 - l*m - 4*m**3 + 5*m**3 + 0*m - m**4 - 5*m**2.
-m*(m + 1)**2*(m + 2)
Let j(v) be the second derivative of -v**6/20 + 27*v**5/40 + 5*v**4/4 + 4*v - 5. Factor j(w).
-3*w**2*(w - 10)*(w + 1)/2
Suppose -y - 48 = -7*y. Solve -3*b**3 + 9*b**3 - 3*b**2 + y*b + 19*b**2 = 0 for b.
-2, -2/3, 0
Let c(h) = -2*h**2 + 16*h - 10*h + 4 - 8*h. Let g(i) = -i**2 - 2*i + 3. Let j = -2 - 2. Let r(t) = j*g(t) + 3*c(t). Factor r(l).
-2*l*(l - 1)
Suppose 0 = 8*y + 27 - 67. Let v(p) be the third derivative of -1/10*p**6 - 4*p**2 + 0 - 1/35*p**7 + 1/112*p**8 + 0*p + 0*p**4 + 0*p**3 + 2/5*p**y. Factor v(u).
3*u**2*(u - 2)**2*(u + 2)
Factor 1/3*o**2 + 13/3 - 14/3*o.
(o - 13)*(o - 1)/3
Suppose 0 = -4*a + 5*r - 28, -a = -9*r + 14*r + 7. Let x(s) = s**3 + 6*s**2 - 5*s + 16. Let t be x(a). Determine z so that 4/3 + 4*z + 4*z**t + 4/3*z**3 = 0.
-1
Let i be (4/20)/(2/4)*-5. Let q be i/(-2 - (-3)/2). Factor 2/3*r**3 - 2/3*r**5 + 0*r + 0 - 2/3*r**2 + 2/3*r**q.
-2*r**2*(r - 1)**2*(r + 1)/3
Let x be (2/(-10))/(-22 + 21). Factor 0*k**2 - x*k**5 + 0*k**4 + 0*k**3 + 0*k + 0.
-k**5/5
Suppose -3*t + 4*j + 4 = 0, -245*t + 243*t + j + 6 = 0. Let r be (-4)/(-2*(-3 - -4)). Let 24/7*x**r + 2/7*x**t - 9/7*x + 0 - 13/7*x**3 = 0. What is x?
0, 1/2, 3
Let f be (-5)/((-5)/4) + 0/4. Suppose -10*o**4 + 5*o**f - 4*o + 16*o**2 - 5*o**3 - 20*o**4 = 0. Calculate o.
-1, 0, 2/5
Determine h, given that -85/2*h**2 + 25/2*h**3 - 1/2*h**5 - 18 + 48*h + 1/2*h**4 = 0.
-6, 1, 2, 3
Let x be 12/(-24)*(1 + (-2)/2). Determine y, given that 0 + 8/21*y**3 - 2/21*y**4 - 8/21*y**2 + x*y = 0.
0, 2
Let z(u) be the second derivative of u**4/9 + 10*u**3/9 + 8*u**2/3 - 60*u. Determine o, given that z(o) = 0.
-4, -1
Suppose -5*h + 15 = -4*l + 5*l, -3*h + 11 = l. Let q(t) be the first derivative of 1/4*t**3 + 3/8*t**h + 0*t - 5. Determine s, given that q(s) = 0.
-1, 0
Let s be (-3)/6 - 27/(-2). Factor 7*g**2 - 8*g**3 - 2*g**4 + 8*g - 18*g**4 + s*g**2.
-4*g*(g - 1)*(g + 1)*(5*g + 2)
Suppose -2*s = -q - 554, -q + 7*s - 6*s - 549 = 0. Let o be ((-306)/q)/((-6)/(-8)). Find w, given that 15/4*w - 9/4 - 3/4*w**2 - o*w**3 = 0.
-3, 1
Let a(i) be the first derivative of i**4/18 - 14*i**3/27 + 14*i**2/9 - 16*i/9 - 23. Solve a(u) = 0 for u.
1, 2, 4
Let r = 9/10 + -29/60. Let q(l) be the first derivative of -1/2*l**2 - 7/9*l**3 + 0*l - 1/15*l**5 + 5 - r*l**4. Find o such that q(o) = 0.
-3, -1, 0
Let s(u) be the third derivative of 81*u**5/100 - 9*u**4 + 40*u**3 - 190*u**2. Factor s(r).
3*(9*r - 20)**2/5
Let g(c) = -c**3 + 5*c**2 + 6*c + 3. Let u be g(6). Factor x**4 - 6*x**2 - 7*x**4 + 4*x - 16*x**u + 0*x**4.
-2*x*(x + 1)*(x + 2)*(3*x - 1)
Let z = 497/24 + -155/8. Factor 4/3 + 4*g**2 + 4*g + z*g**3.
4*(g + 1)**3/3
Let s = 33 + -10. Suppose -2*t - 19 = -s. Find q such that 2/5*q + 0 - 1/5*q**t = 0.
0, 2
Let i(a) be the third derivative of -1/70*a**7 + 0*a + 1/10*a**5 + 0*a**3 + 2*a**2 - 3/56*a**8 + 1/8*a**6 + 0 + 0*a**4. Solve i(v) = 0 for v.
-2/3, -1/2, 0, 1
Let o(a) be the second derivative of 10*a + 1/30*a**4 + 2/5*a**2 + 0 + 1/5*a**3. Factor o(r).
2*(r + 1)*(r + 2)/5
Let r be -1 + ((-36)/(-156))/((-8)/(-52)). Factor -r + 1/4*n**2 - 1/4*n.
(n - 2)*(n + 1)/4
Let l(p) be the second derivative of 7*p**6/90 - 41*p**5/12 + 127*p**4/18 - 28*p**3/9 - 174*p. Factor l(z).
z*(z - 28)*(z - 1)*(7*z - 2)/3
Let s(k) = -k**2 + 10*k + 3. Let p = -39 + 29. Let q(r) = r**2 - 20*r - 5. Let w(f) = p*s(f) - 6*q(f). Find x, given that w(x) = 0.
-5, 0
Let a = -12 - -14. Suppose 1 - a = -f. Factor f - 4 + 4 - x**4 + 4*x**3 + 2*x**4 + 4*x + 6*x**2.
(x + 1)**4
Factor 1115 - 933*m - 224*m + 123*m**2 - 55 - 3*m**3 + 140 - 163*m.
-3*(m - 20)**2*(m - 1)
Let o(l) be the first derivative of -l**6/630 + 13*l**3/3 + 6. Let t(q) be the third derivative of o(q). Factor t(m).
-4*m**2/7
Let z(r) be the first derivative of r**4/10 - 8*r**3/3 + 77*r**2/5 + 484*r/5 + 219. Solve z(t) = 0.
-2, 11
Factor -92*c**2 - 4 - 14*c - 10*c**3 - 2*c**4 - 99*c**2 + 173*c**2.
-2*(c + 1)**3*(c + 2)
Let q(k) = k**2 - 4*k - 7. Suppose -12 = n + 4*n + t, n + 10 = -4*t. Let w be q(n). Let 0*f + 3/4*f**3 + 3/4*f**2 - 3/4*f**w - 3/4*f**4 + 0 = 0. What is f?
-1, 0, 1
Suppose 8*h = 5*h - 3*m - 282, 4*h - 4*m + 392 = 0. Let o be 8/(-10)*32/h. Find b such that o - 8/15*b**2 + 14/15*b = 0.
-1/4, 2
Suppose -4*c = -o - 69, -4*o - 6 + 18 = 0. Let k be (7/(112/12))/(c/80). Solve -4/3*a**4 - k*a**3 + 4/3*a + 0 - 2/3*a**2 = 0 for a.
-2, -1, 0, 1/2
Let m(h) be the second derivative of h**6/50 + 3*h**5/20 - 7*h**4/20 - h**3/2 + 9*h**2/5 + 139*h + 1. Find d such that m(d) = 0.
-6, -1, 1
Let r(a) = a**2 - 5*a + 3. Let d be r(5). Factor -128*n**4 - 2*n + 26*n**d - 3*n**2 - 21*n**2 - 122*n**3.
-2*n*(4*n + 1)**3
Let r(c) be the third derivative of -c**8/896 - c**7/112 - 7*c**6/320 - 3*c**5/160 + 88*c**2. Factor r(m).
-3*m**2*(m + 1)**2*(m + 3)/8
Let g(l) = 2*l**2 - 31*l + 15. Let x be g(15). Let p(t) be the first derivative of x*t**2 - 2*t + 2/3*t**3 + 1. Factor p(y).
2*(y - 1)*(y + 1)
Let z be -4*(-12)/(-216)*(-2)/24. Let k(c) be the second derivative of 0 - 1/9*c**3 + 5*c - 2/9*c**2 - z*c**4. Factor k(f).
-2*(f + 1)*(f + 2)/9
Suppose -a + 8 = 2*k - 2, a = -4*k + 18. Factor -36*f**4 + 33*f**3 + 4*f**a - 3*f**3 + 20*f**5 - 18*f**3.
4*f**2*(f - 1)**2*(5*f + 1)
Let f(i) be the third derivative of 1/84*i**8 - 4/105*i**7 + 0*i**4 + 0*i**3 + 0*i**5 + 10*i**2 + 0 + 1/30*i**6 + 0*i. Factor f(d).
4*d**3*(d - 1)**2
Let m(j) = -590*j**3 + 3640*j**2 + 1910*j + 260. Let b(q) = 84*q**3 - 520*q**2 - 273*q - 37. Let r(l) = -15*b(l) - 2*m(l). Let r(d) = 0. What is d?
-1/4, 7
What is x in 0*x - 3/5*x**4 + 9/5*x**5 + 0 + 3/5*x**2 - 9/5*x**3 = 0?
-1, 0, 1/3, 1
Let c be 3/(-12) - 39/(-12). Let l be 1*c - (7 + -8). What is d in 5 - 8*d**3 - 1 - 2 + 8*d - 4*d**2 + 8*d**2 - 6*d**l = 0?
-1, -1/3, 1
Suppose 18 = 7*g - 8 - 2. Determine f, given that 2/5*f**3 + 0*f**g - 3/10*f + 1/5 - 1/10*f**5 - 1/5*f**2 = 0.
-2, -1, 1
Let w(q) = -88*q**2 - 253*q - 256. Let j(n) = 38*n**2 + 127*n + 128. Let r(p) = -7*j(p) - 3*w(p). Let r(a) = 0. What is a?
-64, -1
Let s(f) be the first derivative of 5*f**7/56 + 3*f**6/8 + 3*f**5/5 + f**4/2 + 29*f**3/3 - 39. Let h(w) be the third derivative of s(w). Factor h(c).
3*(c + 1)*(5*c + 2)**2
Factor -2/9*x**4 + 0 - 2*x**3 - 22/9*x**2 + 2/9*x**5 - 8/9*x.
2*x*(x - 4)*(x + 1)**3/9
Find s, given that -35*s + 25*s - 16*s + 25 - s**2 + 2*s**2 = 0.
1, 25
Let a(t) = -1. Let l(w) = -w**2 + 78*w - 1523. Let n(s) = -2*a(s) + l(s). Factor n(x).
-(x - 39)**2
Suppose -s - 9 = -3*p, 0*s + 19 = s + 4*p. What is r in -12*r + s + r**2 - 3 - 4 + 3*r**3 = 0?
-2, -1/3, 2
Let k(d) = d**3 + 7. Let s(n) = 6*n**3 + 14*n**2 - 29*n + 5. Let a(u) = -35*k(u) + 5*s(u). Factor a(x).
-5*(x - 11)*(x - 4)*(x + 1)
Let b(z) = 6*z + 30. Let c(w) = -12*w - 59. Let o(t) = -5*b(t) - 2*c(t). Let n be o(-6). Factor -2/11*q**2 - 6/11*q**n - 2/11*q**5 + 0*q + 0 - 6/11*q**3.
-2*q**2*(q + 1)**3/11
Factor 18/5*g**2 + 8/5*g**4 + 0*g + 1/5*g**5 + 21/5*g**3 + 0.
g**2*(g + 2)*(g + 3)**2/5
Let l(v) be the first derivative of 38*v**5/15 - 6*v**4 + 10*v**3/3 + 2*v**2/3 + 47. Factor l(s).
2*s*(s - 1)**2*(19*s + 2)/3
Suppose 4*f - 3*f - 11 = 0. Let a = f + -6. Determine k, given that 0*k - 6/5*k**3 + 0*k**2 + 3/5*k**4 + 3/5*k**a + 0 = 0.
-2, 0, 1
Let g(m) be the first derivative of -4*m**3/27 