*4*(q + 1)
Suppose -5*s - 5*z = -5, 4*z + 4 = 2*z. Factor -s*d - 2*d**3 - 10*d**2 + 5*d + 0 + 6*d**4 + 4.
2*(d - 1)**2*(d + 1)*(3*d + 2)
Let k = 5/19 - -23/57. Let c be (-3)/(4/(32/(-36))). Suppose 2/3*w + k*w**4 + 0 - 2/3*w**3 - c*w**2 = 0. What is w?
-1, 0, 1
Let t(p) be the first derivative of 2*p**3/57 - 2*p/19 + 10. Factor t(z).
2*(z - 1)*(z + 1)/19
Let a(t) be the first derivative of t**6/180 + t**5/30 + t**4/18 - t**2/2 + 2. Let q(x) be the second derivative of a(x). Find b such that q(b) = 0.
-2, -1, 0
Let z(y) be the third derivative of 8/3*y**4 + 2*y**2 + 4/5*y**5 + 1/105*y**7 + 16/3*y**3 + 2/15*y**6 + 0 + 0*y. Find g, given that z(g) = 0.
-2
Let v(f) = 9*f**2 - 24*f + 36. Let b(h) = -5*h**2 + 12*h - 18. Let w(y) = -5*b(y) - 3*v(y). What is u in w(u) = 0?
3
Let u = 94 + -656/7. Let n be 6/(9 - (0 - -2)). Determine a so that -n*a**2 + 0 + u*a = 0.
0, 1/3
Let y(r) be the second derivative of -r**7/2100 + r**6/450 - r**5/300 - r**3/6 - 4*r. Let t(c) be the second derivative of y(c). Factor t(b).
-2*b*(b - 1)**2/5
Let k(m) = 6*m**2 - 10*m + 8. Let r(g) = -5*g**2 + 9*g - 7. Let l(s) = -3*k(s) - 4*r(s). Factor l(z).
2*(z - 2)*(z - 1)
Find x, given that 48*x**2 - 1 + 10*x - 2 + 1 = 0.
-1/3, 1/8
Let w(j) = -9*j**2 + 9*j. Let m(l) = -5*l**2 + 5*l. Let k be (-3)/(-12) - (-25)/(-4). Let b(c) = k*w(c) + 11*m(c). Factor b(x).
-x*(x - 1)
Let k = 1437 + -1434. Factor 2/3 - 2/3*i**2 - 8/3*i**k + 8/3*i.
-2*(i - 1)*(i + 1)*(4*i + 1)/3
Let q be 5 - (3/(-2))/((-21)/28). Factor -3/2*d**4 + 3/2*d**2 + 3*d - q*d**3 + 0.
-3*d*(d - 1)*(d + 1)*(d + 2)/2
Let z be (-2)/(28/(-6))*301/172. What is f in 0 + 0*f - 9/4*f**3 - 3/2*f**2 - z*f**4 = 0?
-2, -1, 0
Let u(t) = -13*t**2 + 5*t + 2. Let j(l) = 168*l**2 - 66*l - 27. Let q(d) = 2*j(d) + 27*u(d). Find b such that q(b) = 0.
0, 1/5
Let i(b) be the first derivative of b**7/168 - b**6/120 - b**5/80 + b**4/48 - 6*b + 2. Let z(a) be the first derivative of i(a). Factor z(y).
y**2*(y - 1)**2*(y + 1)/4
Let o = 12/259 - -30/37. Factor -o*m**2 - 6/7*m - 2/7*m**3 - 2/7.
-2*(m + 1)**3/7
Find z, given that 0 + 0*z + 2/3*z**4 - 1/3*z**3 + 1/3*z**5 - 2/3*z**2 = 0.
-2, -1, 0, 1
Let k(v) be the first derivative of -v**6/660 + 3*v**2 + 5. Let h(b) be the second derivative of k(b). Factor h(d).
-2*d**3/11
Let y = 943/4 + -217. Suppose 21/4*h**4 + 3 - 3/4*h**5 - 57/4*h**3 - 12*h + y*h**2 = 0. What is h?
1, 2
Let o(c) be the first derivative of c - 1/30*c**3 + 0*c**2 + 0*c**4 + 1/100*c**5 - 3. Let i(u) be the first derivative of o(u). Factor i(z).
z*(z - 1)*(z + 1)/5
Let l(y) be the first derivative of 1/9*y**2 - 2/27*y**3 + 2 + 0*y. Solve l(b) = 0.
0, 1
Let b(k) be the first derivative of -k**6/12 - k**5/15 + k**2 - 2. Let o(s) be the second derivative of b(s). Factor o(x).
-2*x**2*(5*x + 2)
Factor 86 - 2*q**4 - 48 - 38 + 6*q**3 - 4*q**2.
-2*q**2*(q - 2)*(q - 1)
Let l(r) be the second derivative of -r**8/1680 + r**7/1890 + r**4/6 + r. Let v(t) be the third derivative of l(t). Find i such that v(i) = 0.
0, 1/3
Let s = -95 - -97. Factor -1/4*z**s + 0*z + 1/4.
-(z - 1)*(z + 1)/4
Let t = 11 - 10. Let l be (0/(-3 - 0))/t. Determine q so that 2/7*q**4 + 0*q + l + 2/7*q**2 - 4/7*q**3 = 0.
0, 1
Let h be (-1 - 26/(-24))/((-111)/(-296)). Determine d, given that 0 - h*d**2 + 0*d = 0.
0
Suppose 0 = u + 4*z - 26, -5*u = z + z - 40. Let m - m + 6 + 3*m - 3*m**2 - u*m = 0. What is m?
-2, 1
Let q be (-2)/3*1/(-2). Let u(g) be the second derivative of g + 2*g**2 + 0 + 1/15*g**6 - 1/2*g**4 + q*g**3 - 1/10*g**5. Factor u(v).
2*(v - 2)*(v - 1)*(v + 1)**2
Suppose 8*g**4 - 52*g**3 + 24 + 32*g - 8 + 20*g**4 + 20*g**5 - 44*g**2 = 0. What is g?
-2, -1, -2/5, 1
Let a be (-11)/((-231)/(-18))*(-35)/10. Factor 2/15 + 2/15*l**4 + 0*l**a - 4/15*l**2 + 0*l.
2*(l - 1)**2*(l + 1)**2/15
Let u(i) be the third derivative of 3/20*i**6 + 2/5*i**5 + 0*i - 2*i**2 + 2/3*i**3 - 11/12*i**4 + 0. Factor u(r).
2*(r + 2)*(3*r - 1)**2
Suppose 4*r + l = -1, -4*r = -5*l + 9 - 14. Find m such that r + 0*m + 1/2*m**3 + m**2 = 0.
-2, 0
Factor -1/2*t**3 - 6*t + 0 - 1/4*t**4 + 5*t**2.
-t*(t - 2)**2*(t + 6)/4
Let x(j) = -j + 1. Let r(d) = 3*d**3 + 3*d**2 + 3*d - 9. Let f(y) = r(y) + 6*x(y). Find n such that f(n) = 0.
-1, 1
Factor -15*x**2 + 9*x + 4*x - 7*x - 6*x**3 + 15*x**4.
3*x*(x - 1)*(x + 1)*(5*x - 2)
Let q(b) be the second derivative of -3*b**5/40 + b**4/4 + b**3/4 - 3*b**2/2 + 6*b. Factor q(o).
-3*(o - 2)*(o - 1)*(o + 1)/2
Let d(a) = -19*a**4 - 331*a**3 - 3969*a**2 - 16931*a - 13310. Let v(c) = 9*c**4 + 166*c**3 + 1984*c**2 + 8466*c + 6655. Let m(h) = 4*d(h) + 9*v(h). Factor m(j).
5*(j + 1)*(j + 11)**3
What is j in -44/5*j**3 - 6/5*j**4 - 14/5 + 2/5*j**5 - 54/5*j - 76/5*j**2 = 0?
-1, 7
Let y = 4 + -10. Let o be (-8)/y*(-12)/(-8). Let i**3 + i**4 + 7*i**o - 7*i**2 = 0. What is i?
-1, 0
Let i(b) = 3*b**2 - 2 - 2*b + 4*b**2 + 2*b**3 + 2*b**2. Let s be (4/3)/((-2)/9). Let d(o) = o**3 + 4*o**2 - o - 1. Let w(n) = s*i(n) + 14*d(n). Factor w(y).
2*(y - 1)*(y + 1)**2
Let l be ((-7)/((-35)/(-2)))/((-27)/45). Suppose 2*w - 3 - 1 = 0. Determine g, given that -1/3*g**5 + 0*g**4 + l*g**3 + 0 + 0*g**w - 1/3*g = 0.
-1, 0, 1
Let p(o) be the first derivative of o**6/60 + 3*o**5/50 + o**4/20 - o**3/15 - 3*o**2/20 - o/10 - 13. Let p(t) = 0. What is t?
-1, 1
Let x = -3 - -5. Factor -3*y**3 + y - 3*y**4 - 9*y**x + 12*y**3 + 2*y.
-3*y*(y - 1)**3
Let k(p) be the first derivative of -3*p**5/5 + 3*p**3 - 3*p**2 - 8. Factor k(t).
-3*t*(t - 1)**2*(t + 2)
Find k such that 8/3*k + 2/3*k**2 + 8/3 = 0.
-2
Let a(k) be the first derivative of k**7/210 + k**6/90 - 5*k**3/3 + 6. Let h(s) be the third derivative of a(s). Factor h(p).
4*p**2*(p + 1)
Suppose 3 = 4*v - 9. Let x(f) = 2*f**5 + 2*f**4 - 8*f**3 - 2*f - 6. Let i(r) = 2*r**5 + r**4 - 7*r**3 + r**2 - r - 5. Let k(m) = v*x(m) - 4*i(m). Factor k(p).
-2*(p - 1)**3*(p + 1)**2
Solve -2 + 5 - 6*p**2 - p + 9*p**2 + 7*p = 0.
-1
Let l(s) be the second derivative of -s**7/420 + 7*s**6/180 - s**5/4 + 3*s**4/4 + s**3/2 - 7*s. Let j(b) be the second derivative of l(b). Solve j(z) = 0.
1, 3
Let 12*v**3 - 3*v - 2*v**4 + 6*v**4 + 12*v**2 + 2*v**4 - 9*v**5 - 18*v**2 = 0. What is v?
-1, -1/3, 0, 1
Suppose -2*n = -7*n + p - 18, -5*p + 24 = -3*n. Let r be (-1)/((n/(-1))/(-12)). Solve -6/7*c**2 + 0 + 0*c**3 - 4/7*c + 2/7*c**r = 0 for c.
-1, 0, 2
Factor -3*m - 12*m**2 + 1 - 4 + 18*m.
-3*(m - 1)*(4*m - 1)
Let d(z) be the first derivative of z**3/6 - 3*z**2/4 + z + 7. Factor d(b).
(b - 2)*(b - 1)/2
Suppose 2*o = 6*o + 132. Let i = o - -101/3. Suppose -i - 2/3*j**2 - 4/3*j = 0. What is j?
-1
Let f be (-2)/14 - (-112)/441. Let w(b) be the second derivative of 1/9*b**4 + b + 1/30*b**5 + 0*b**2 + f*b**3 + 0. Factor w(j).
2*j*(j + 1)**2/3
Let l(q) be the third derivative of -q**8/3024 + q**6/540 - q**4/216 + 13*q**2. Factor l(z).
-z*(z - 1)**2*(z + 1)**2/9
Let o be (-2)/9 + (-9822)/27. Let n = 2556/7 + o. Suppose 8/7*c - 2/7*c**2 - n = 0. What is c?
2
Suppose 7*x - 3*x - 5*i + 12 = 0, -4*x + i + 4 = 0. Suppose -x*d - 3*d = 0. Solve 2*z**2 + d - 2/3*z**4 + 0*z**3 + 4/3*z = 0.
-1, 0, 2
Let o(i) be the first derivative of -i**5/330 - i**4/132 - 5*i**2/2 + 5. Let j(l) be the second derivative of o(l). Solve j(a) = 0.
-1, 0
Factor 2698*l - 21*l**5 - 2698*l + 6*l**4.
-3*l**4*(7*l - 2)
Let p(y) be the second derivative of 1/30*y**5 + 1/9*y**3 + 0*y**2 - 1/9*y**4 + 0 - 4*y. Solve p(s) = 0 for s.
0, 1
Suppose 0 = 3*z + 5*q - 73, -59 = -3*z + 5*q - 3*q. Find g, given that g**3 - 7*g**3 - 2*g**4 + 17*g**4 + z*g**5 = 0.
-1, 0, 2/7
Let a = -23/1281 - -4/61. Let w(z) be the second derivative of 1/70*z**5 + 0*z**4 + 0*z**2 - a*z**3 + 2*z + 0. What is d in w(d) = 0?
-1, 0, 1
Let r(w) = -4*w**4 - 10*w**3 + 2*w**2 - 6. Let o(q) = q**4 + q**3 + 1. Let k be (-2)/(1 + 1) - -2. Let y(n) = k*r(n) + 6*o(n). Find a, given that y(a) = 0.
0, 1
Let n be 1/(2/(-4) - -1). Let l(m) be the second derivative of 0 + 1/3*m**2 + n*m - 1/9*m**3 - 5/18*m**4 - 1/10*m**5. Determine z so that l(z) = 0.
-1, 1/3
Let s be ((-2)/10)/(192/40 + -5). Suppose -9/2*x - 2*x**2 - s = 0. What is x?
-2, -1/4
Let b(k) = k**2 + 30*k + 41. Let l(o) = 5*o**2 + 120*o + 165. Let n(s) = 15*b(s) - 4*l(s). Determine z so that n(z) = 0.
-3
Determine p so that -p + 2/3 + 1/3*p**3 + 0*p**2 = 0.
-2, 1
Factor 0 - 2/7*z + z**2 - 5/7*z**3.
-z*(z - 1)*(5