0.
-1, 0, 1
Let a(x) be the third derivative of 1/15*x**5 - x**2 + 0*x + 0*x**4 + 0 + 0*x**3 - 1/15*x**6. Factor a(v).
-4*v**2*(2*v - 1)
Let c(z) = z**4 + 13*z**3 + 9*z**2 - 8*z + 5. Let y(w) = 6*w**3 + 4*w**2 - 4*w + 2. Let q(l) = 2*c(l) - 5*y(l). Factor q(i).
2*i*(i - 2)*(i - 1)*(i + 1)
Let g(j) = -j**3 + 5*j**2 - 5. Let u be g(5). Let p be -1*1 + (-15)/u. Suppose 1/4*k**5 + 9/4*k**3 + 0 + 1/2*k + 7/4*k**p + 5/4*k**4 = 0. Calculate k.
-2, -1, 0
Let r = 10 - 8. Solve v**r - 4 - 12*v + 36*v**3 + 6 - 27*v**4 + 5*v**2 - 5 = 0 for v.
-1/3, 1
Suppose a - 4 = 1. Let r(o) be the first derivative of -2/5*o**a - 3 - 3/2*o**4 + 0*o - 4/3*o**3 + 0*o**2. What is c in r(c) = 0?
-2, -1, 0
Let j be (15/6)/(1/2). Factor -8*r + j*r**3 - 16*r + 4*r**2 - 16 + 17*r**3 + 20*r**4 - 8*r**4 + 2*r**5.
2*(r - 1)*(r + 1)*(r + 2)**3
Let t(v) be the second derivative of v**5/12 - 17*v**4/36 + 8*v**3/9 - 2*v**2/3 - v. Determine k, given that t(k) = 0.
2/5, 1, 2
Let s = 15 - 15. Let z = -4 + 7. Factor s - 2/9*y + 0*y**2 + 2/9*y**z.
2*y*(y - 1)*(y + 1)/9
Let n(r) be the first derivative of -2*r**3/33 - 2*r**2/11 - 12. Solve n(l) = 0 for l.
-2, 0
Let z be ((-9)/24)/(39/(-12) + 3). Find a, given that 3/2*a**3 + 9/2*a**4 - 9/2*a**2 + 0 + z*a**5 - 3*a = 0.
-2, -1, 0, 1
Let x(h) be the second derivative of -h**6/120 + h**5/15 - h**4/6 - 7*h**2/2 - 3*h. Let u(g) be the first derivative of x(g). Factor u(s).
-s*(s - 2)**2
Let q(h) be the third derivative of -25*h**8/672 + h**7/6 - 19*h**6/240 - 31*h**5/60 + 11*h**4/12 - 2*h**3/3 + 48*h**2. Determine t, given that q(t) = 0.
-1, 2/5, 1, 2
Let m(b) be the second derivative of -b**4/24 + 2*b**3/3 - 4*b**2 - 15*b. Factor m(p).
-(p - 4)**2/2
Let p = 3/62 - -103/434. Let t be -2 - (72/(-14) + 2). Factor 10/7*j - t*j**2 + p*j**3 - 4/7.
2*(j - 2)*(j - 1)**2/7
Let j(d) be the third derivative of -d**7/420 - d**6/80 - d**5/120 + d**4/16 + d**3/6 + 2*d**2. Factor j(l).
-(l - 1)*(l + 1)**2*(l + 2)/2
Suppose 4*r - 2*r - 8 = 0. Determine o, given that 86 + r*o + 4*o**2 - 86 = 0.
-1, 0
Suppose 3*c = -2*c + 10. Let w(h) = h + 1. Let m be w(c). Factor 1/2*y**2 + 0*y + 0 - 3/2*y**m.
-y**2*(3*y - 1)/2
Solve u**3 + u**3 + 3*u - 6*u**2 + u**3 = 0.
0, 1
Let q(v) be the third derivative of v**5/30 + 5*v**4/6 + 25*v**3/3 + 8*v**2. Determine n, given that q(n) = 0.
-5
Suppose 8 = -0*n + n. Factor -2*g - n*g**4 - 12*g**3 - 8*g**2 - 7*g**5 + 5*g**5 + 0*g**4.
-2*g*(g + 1)**4
Suppose 0 = x - 1 - 1. Factor -y**3 + 4*y - 4*y + x*y**4 - y**5.
-y**3*(y - 1)**2
Let g(k) be the first derivative of 0*k + 0*k**2 - 1/12*k**3 - 3 - 1/24*k**6 + 1/16*k**4 + 1/20*k**5. Factor g(o).
-o**2*(o - 1)**2*(o + 1)/4
Determine o, given that -4/3*o + 1/3*o**2 - 1/3 + 4/3*o**3 = 0.
-1, -1/4, 1
Let f(l) be the first derivative of 0*l**4 + 2 + 1/2*l**2 - 2*l**3 + 0*l + 1/20*l**5. Let j(i) be the second derivative of f(i). Factor j(d).
3*(d - 2)*(d + 2)
Let v(f) be the third derivative of -2/35*f**7 - 1/5*f**5 + 2*f**2 - 1/112*f**8 + 0*f - 1/8*f**4 - 3/20*f**6 + 0*f**3 + 0. Factor v(n).
-3*n*(n + 1)**4
Let j(v) = -v**2 - 11*v + 13. Let r be j(-12). Determine y, given that 25*y**2 - y + 0*y + r - 3*y - 6*y = 0.
1/5
Find h such that 15 - 5 + 6*h**3 + 20*h**2 - h**3 + 25*h = 0.
-2, -1
Factor 1444 + 100*c + 4*c**2 + 69*c - 17*c.
4*(c + 19)**2
Let m(w) be the first derivative of -w**4/20 + w**3/5 - 1. Factor m(z).
-z**2*(z - 3)/5
Let y = 31 - 7. Let k be 1 - -2*(-9)/y. Let 1/4*z**2 + 1/4*z - 1/4*z**3 + 0 - k*z**4 = 0. Calculate z.
-1, 0, 1
Let q(l) be the first derivative of l**6/12 + l**5/5 - l**4/8 - l**3/3 + 1. Let q(j) = 0. What is j?
-2, -1, 0, 1
Suppose 0 = -2*n - 2*w - 4, -4*n = -5*w - 28. Determine r, given that -10*r**3 - 9*r**n + 3 + 3*r**2 - 5 + 6*r + 12*r**3 = 0.
1
Suppose 7 - 22 = -3*y. Factor 4 - 5*v**4 + 2*v**y - v**5 + v**2 - 8*v + 4*v**3 - 6*v**3 + 9*v**3.
(v - 2)**2*(v - 1)**2*(v + 1)
Factor -2*t**2 - 2*t**5 + 53*t + 6*t**3 - 2*t**4 - 49*t + 12*t**2.
-2*t*(t - 2)*(t + 1)**3
Let r(i) be the first derivative of -i**6/6 - 2*i**5/5 - i**4/4 - 6. Find j such that r(j) = 0.
-1, 0
Suppose -5*b + 6 = -34. Suppose b*g = 12*g - 8. Factor 3/5*s + 2/5 - 1/5*s**3 + 0*s**g.
-(s - 2)*(s + 1)**2/5
Let x be (-256)/144*(3/(-4) - 0). Let -1/3*w**4 + x*w**3 + 0 - 5/3*w**2 + 2/3*w = 0. What is w?
0, 1, 2
Let m(s) = -2*s. Let z be m(-1). Find h such that -10*h + 3*h**2 - h + z*h = 0.
0, 3
What is c in 0 - 6 + 48*c - 51*c + 3*c**2 = 0?
-1, 2
Let m = -7 + 10. Find a, given that -3*a**2 + 2*a - 3*a**3 + 7*a - m*a = 0.
-2, 0, 1
Let c(s) be the first derivative of -2*s**5/5 - 2*s**4 - 2*s**3 + 4*s**2 + 8*s + 6. Find b such that c(b) = 0.
-2, -1, 1
Let i(q) = -4*q**2 - 48*q - 288. Let x(z) = 9*z**2 + 96*z + 576. Let f(w) = 10*i(w) + 4*x(w). Factor f(p).
-4*(p + 12)**2
Suppose 2*l + 3*t = 12, 5*l + 5*t = 15 + 5. Factor 0 + 1/2*z**2 + l*z.
z**2/2
Suppose -3*j = -4*f + 16 + 22, 4*j - 8 = -2*f. Let b = 11 - f. Factor 6 + 3*r**b + 3/2*r**4 - 6*r - 9/2*r**2.
3*(r - 1)**2*(r + 2)**2/2
Suppose 0*z + 10/7*z**2 + 0 - 10/7*z**4 + 8/7*z**3 - 8/7*z**5 = 0. Calculate z.
-5/4, -1, 0, 1
Let u(i) be the third derivative of -i**5/4 + i**4/2 - 2*i**3/5 - 3*i**2. Suppose u(m) = 0. What is m?
2/5
Let v be 1/(-2)*(-4 + 56/14). Let j(w) = w**2 + w + 3. Let y be j(0). Factor 1/4*a**5 + v - 3/4*a**4 + 0*a - 1/4*a**2 + 3/4*a**y.
a**2*(a - 1)**3/4
Suppose -2*o - 4*u + 38 = 0, -5*u - 9 = -2*u. Let l be o/3 + (0 - 3). Find b, given that -8/3 - 10/3*b**2 - l*b - 2/3*b**3 = 0.
-2, -1
Let u = -1/123 - -497/615. Let k(m) be the first derivative of -4/3*m**3 - 2 - m**2 + u*m**5 + 0*m**4 + 0*m + 1/3*m**6. Suppose k(l) = 0. What is l?
-1, 0, 1
Let c be (-136)/(-36) + 2/9. Let s**2 + c*s**3 - 17 - 3*s**3 + 17 = 0. Calculate s.
-1, 0
Let s(r) be the first derivative of 0*r - 3/2*r**4 - 1/6*r**6 - 1/2*r**2 - 1 + 4/3*r**3 + 4/5*r**5. Factor s(i).
-i*(i - 1)**4
Let u(x) = x**3 - 7*x**2 + 4*x + 6. Let z be 3*11/3 + 2. Let k(p) = 2*p**3 - 15*p**2 + 9*p + 13. Let i(a) = z*u(a) - 6*k(a). Determine l, given that i(l) = 0.
-1, 0, 2
Let i(z) be the third derivative of 0 - 4*z**2 - 5/6*z**4 + 4/3*z**3 - 1/30*z**6 + 4/15*z**5 + 0*z. Factor i(c).
-4*(c - 2)*(c - 1)**2
Let l(x) be the second derivative of -4/15*x**3 + 0 - 2/15*x**4 - 4*x + 0*x**2 + 3/50*x**5. Factor l(b).
2*b*(b - 2)*(3*b + 2)/5
Suppose 6*b - 2*b - 8 = 0. Suppose 39 = 9*f + 3. Let -4 - 2*c**2 + b*c**f + 4 = 0. Calculate c.
-1, 0, 1
Let m = 4 - -1. Factor -5*p**3 + m*p**3 + 2*p**3 - 36*p**4 + 77*p**5 + 2*p**3.
p**3*(7*p - 2)*(11*p - 2)
Let k(y) be the second derivative of -2*y**7/21 + 4*y**6/15 - y**5/5 - 15*y. Factor k(v).
-4*v**3*(v - 1)**2
Let j(r) be the first derivative of 3 - r**3 + 0*r**2 - 1/220*r**5 - 1/495*r**6 + 1/132*r**4 + 0*r. Let o(f) be the third derivative of j(f). Factor o(a).
-2*(a + 1)*(4*a - 1)/11
Let d(x) be the third derivative of -x**5/110 - 29*x**4/132 + 10*x**3/33 + 39*x**2. Factor d(n).
-2*(n + 10)*(3*n - 1)/11
Let h be 0/6 - ((-2)/(-6))/(-1). What is x in 1/6 + h*x + 1/6*x**2 = 0?
-1
Let w(b) be the first derivative of -3 - 14*b**2 + 28/3*b**3 - 2*b**4 + 8*b. Factor w(x).
-4*(x - 2)*(x - 1)*(2*x - 1)
Let f(y) = 9*y**5 + 3*y**4 - 9*y**3 + 3*y**2 + 6*y. Let w(o) = -19*o**5 - 7*o**4 + 19*o**3 - 6*o**2 - 13*o. Let n(b) = -13*f(b) - 6*w(b). Solve n(d) = 0.
-1, 0, 1
What is x in -12 + x**3 - 23*x**4 + 5*x**3 + 25*x**4 + 34*x - 30*x**2 = 0?
-6, 1
Let v(u) = -3*u**3 - u**2 + u + 1. Let y be v(-1). Solve 3*c + 3*c**4 + 3*c**2 - y*c - 2*c**4 + 3*c**3 = 0 for c.
-1, 0
Suppose 2*d = r + 4*r + 19, d + 5*r + 13 = 0. Solve 6/7*m**3 + 2/7*m - 6/7*m**d - 2/7*m**4 + 0 = 0 for m.
0, 1
Let w(m) be the third derivative of -m**9/1008 - m**8/320 - m**7/420 - m**4/6 + 3*m**2. Let c(q) be the second derivative of w(q). Factor c(j).
-3*j**2*(j + 1)*(5*j + 2)
Let d(r) = r**2 + 6*r - 5. Let k(g) = -g**2 - g - 7. Let b be k(0). Let s be d(b). Solve -6 + 2 + s*a**2 + 4 = 0.
0
Let k be (-172)/(-60) + 6/45. Factor -2/7*u + 0 + 8/7*u**2 + 8/7*u**4 - 2/7*u**5 - 12/7*u**k.
-2*u*(u - 1)**4/7
Let s(x) = -4*x**4 + 4. Let r(i) = -4*i**4 - i**2 + 5. Let u(o) = 4*r(o) - 5*s(o). Factor u(d).
4*d**2*(d - 1)*(d + 1)
Let m(d) be the second derivative of 1/24*d**4 + 2*d + 1/40*d**5 - 1/4*d**2 + 0 - 1/12*d**3. Factor m(x).
(x - 1)*(x + 1)**2/2
Let j(t) be the second derivative of t**4/32 - t**3/4 + 9