4*i**3 + 34*i**2 + 24*i + 1. Let z(t) = t**4 + t**3 + t**2 + t - 1. Let s(p) = -j(p) + 4*z(p). Factor s(f).
-5*(f + 1)**4
Let j(i) = i**2 + 5*i - 3. Let a(m) = -m + 2. Let y(f) = -3*a(f) + j(f). Factor y(k).
(k - 1)*(k + 9)
Let j(z) = -4*z**4 - 56*z**3 - 48*z**2 - 8*z - 8. Let l(p) = -p**4 - 19*p**3 - 16*p**2 - 3*p - 3. Let u(g) = 3*j(g) - 8*l(g). Find o, given that u(o) = 0.
-2, 0
Let m = -15/154 + -31063/462. Let y = 68 + m. What is f in -2/3*f**2 + y - 2/3*f**3 + 2/3*f = 0?
-1, 1
Let d(r) be the first derivative of -5*r**6/6 - 7*r**5 - 95*r**4/4 - 125*r**3/3 - 40*r**2 - 20*r - 11. Solve d(n) = 0 for n.
-2, -1
Suppose p + p - 8 = 0. Find o such that -3*o**2 + o**4 + o**2 + 2 + p - 5 = 0.
-1, 1
Let y(n) be the third derivative of 1/36*n**4 + 1/90*n**5 + 0 + 0*n - 6*n**2 + 0*n**3. Suppose y(i) = 0. Calculate i.
-1, 0
Let i = -4 + 8. Let v = 10 + -6. Factor t**i - v + 4 + t**3.
t**3*(t + 1)
Suppose -m - 10 = -14. Let 0 + 0*u - 1/4*u**2 + 1/4*u**5 + 3/4*u**3 - 3/4*u**m = 0. What is u?
0, 1
Let h(n) be the second derivative of n**7/28 - 3*n**6/20 + 3*n**5/20 + n**4/4 - 3*n**3/4 + 3*n**2/4 - 22*n + 2. Solve h(s) = 0 for s.
-1, 1
Let q(u) be the third derivative of u**5/270 + 4*u**4/27 + 64*u**3/27 - 30*u**2. Factor q(y).
2*(y + 8)**2/9
Solve -14/9*t**3 + 16/9 - 4/9*t**2 + 56/9*t = 0.
-2, -2/7, 2
Factor a + 0 + 1/3*a**2.
a*(a + 3)/3
Let c(r) be the first derivative of -r**6/660 + r**5/165 + r**4/132 - 2*r**3/33 + r**2 - 5. Let o(l) be the second derivative of c(l). Factor o(h).
-2*(h - 2)*(h - 1)*(h + 1)/11
Let r = 10 + -5. Suppose 0 = -o + r*o. Factor 0 - 1/3*w**2 - 1/3*w**4 + o*w - 2/3*w**3.
-w**2*(w + 1)**2/3
Let m(b) be the second derivative of -b**8/11200 + b**7/4200 + b**6/600 + b**4/4 - 6*b. Let y(j) be the third derivative of m(j). Factor y(n).
-3*n*(n - 2)*(n + 1)/5
Let f(z) be the third derivative of -z**5/180 + 7*z**4/72 - z**3/3 + 37*z**2. Factor f(x).
-(x - 6)*(x - 1)/3
Factor -2/7*m**3 + 2/7 - 2/7*m**2 + 2/7*m.
-2*(m - 1)*(m + 1)**2/7
Let o be (-115)/(-70) - (-3)/(-2). Let t = o + 1/7. Let 0 + 0*s**3 + t*s**2 + 0*s - 2/7*s**4 = 0. Calculate s.
-1, 0, 1
Let k(u) = 21*u**4 - 13*u**3 - 8*u**2 - 5*u - 5. Let m(i) = -32*i**4 + 20*i**3 + 12*i**2 + 8*i + 8. Let d(s) = 8*k(s) + 5*m(s). Factor d(h).
4*h**2*(h - 1)*(2*h + 1)
What is g in 2/7*g**4 + 10/7*g**3 + 0 + 8/7*g + 16/7*g**2 = 0?
-2, -1, 0
Let i(j) be the second derivative of j**7/525 - j**5/150 + j**2/2 - j. Let d(q) be the first derivative of i(q). Factor d(z).
2*z**2*(z - 1)*(z + 1)/5
Suppose 9*u - 151 = 119. Factor -21/4*l**5 - u*l**2 - 75/2*l**3 - 45/4*l - 3/2 - 45/2*l**4.
-3*(l + 1)**4*(7*l + 2)/4
Let t(p) be the third derivative of -p**7/70 + p**5/20 - 7*p**2. Let t(z) = 0. What is z?
-1, 0, 1
Let v(n) = n**4 - 3*n**3 + 3. Let w(c) = c**4 - 5*c**3 + 5. Let r(a) = -5*v(a) + 3*w(a). Suppose r(o) = 0. What is o?
0
Let m(g) be the third derivative of 0*g**5 - 1/12*g**4 + 0*g + 1/60*g**6 + 0 + 0*g**3 - g**2. Determine u so that m(u) = 0.
-1, 0, 1
Let o(w) be the second derivative of 0 + 1/10*w**5 + 0*w**2 - 1/3*w**3 + 0*w**4 - 8*w. Factor o(y).
2*y*(y - 1)*(y + 1)
Determine r, given that -21*r + 52 - 3*r - 16 + 4*r**2 = 0.
3
Suppose 2*z - 4 - 2 = 2*c, 3*c = z - 1. Factor -4*j**2 - 5*j**3 - 3*j**z + 3*j - 5*j**2 + 14*j**3.
-3*j*(j - 1)**3
Suppose 5 = 4*c + o - 2, -4*c = 3*o - 5. Let 4 - 3*i**3 - 4*i**2 - 4*i**2 - i**3 + 4*i**4 + 2*i**5 + c*i = 0. What is i?
-2, -1, 1
Factor 0*d + 2/5*d**3 + 0 + 2/5*d**4 - 2/5*d**2 - 2/5*d**5.
-2*d**2*(d - 1)**2*(d + 1)/5
Let w(x) = x**2 + x + 1. Suppose -5*c + 66 = -9. Let z(u) = -24*u - 7 + 1 - 21*u**2 - c. Let o(q) = -18*w(q) - z(q). Find r such that o(r) = 0.
-1
Let k = 713/9 - 79. Suppose -1 = 5*s - 11. Determine b so that k*b + 0 + 2/9*b**s = 0.
-1, 0
Solve 4/3*n + 0*n**2 - 4/3*n**3 + 0 = 0 for n.
-1, 0, 1
Suppose -5*w + g = -6, 3*w = 4*g - 3 - 7. Find a, given that -2 - 5*a + w + a**2 + 2 + 2*a**2 = 0.
2/3, 1
Let f(d) be the second derivative of 0*d**3 + d**2 + 2*d + 0 + 0*d**4 - 1/90*d**5. Let y(g) be the first derivative of f(g). Let y(a) = 0. What is a?
0
Let o(i) be the third derivative of 0 + 0*i + i**4 + 8*i**3 + 9*i**2 + 1/20*i**5. What is l in o(l) = 0?
-4
Factor 10*s**3 - 6*s**3 + 6*s**2 - 7*s**3 - 3*s.
-3*s*(s - 1)**2
Let f(m) be the third derivative of -m**8/1008 - m**7/315 + m**6/360 + m**5/90 - 4*m**2. Solve f(i) = 0 for i.
-2, -1, 0, 1
Let o(r) be the second derivative of r**6/15 - 2*r**5/5 + 5*r**4/6 - 2*r**3/3 - 7*r. Factor o(t).
2*t*(t - 2)*(t - 1)**2
Let s be -4 - (-124)/24 - (-2)/(-3). Factor 1/3*t**4 - s*t**2 + 1/6 - 1/6*t + 1/6*t**3.
(t - 1)*(t + 1)**2*(2*t - 1)/6
Let u(d) = 4*d**5 - 9*d**4 + 19*d**3 - 3*d**2 + d - 4. Let o(q) = q**4 + q**3 + q**2 - 1. Let y(c) = 12*o(c) - 3*u(c). Determine t, given that y(t) = 0.
0, 1/4, 1
Let j(f) = 15*f**2 + 21*f + 33. Let u(v) = -7*v**2 - 11*v - 16. Let m(o) = 4*j(o) + 9*u(o). Determine y, given that m(y) = 0.
-4, -1
Let -12/7*k - 16/7*k**2 + 0 - 4/7*k**3 = 0. What is k?
-3, -1, 0
Suppose 2*g = 3*r - 4 - 5, -5*r - 7 = 4*g. Suppose -y - 1 + 3 = 0. Solve -r - 1/2*x**3 - y*x**2 - 5/2*x = 0 for x.
-2, -1
Let y = 1310173/28 - 46798. Let d = 48/7 + y. Suppose -1/4 - 3/4*n**2 - d*n - 1/4*n**3 = 0. Calculate n.
-1
Suppose 10*v = 2*v + 16. Suppose -v*c = -5*m + c, 0 = 5*m + 2*c. Determine b so that m*b + 7/5*b**5 + 0*b**2 + 0*b**3 + 0 - 2/5*b**4 = 0.
0, 2/7
Let z(s) = s**2 - 1. Let g(u) = -2*u**4 + 8*u**3 - 13*u**2 + 4*u + 3. Let k(b) = -g(b) - 3*z(b). Factor k(n).
2*n*(n - 2)*(n - 1)**2
Suppose 0 + 0 - v**2 - 5*v**2 + 3*v**3 = 0. What is v?
0, 2
Let x(d) be the first derivative of -d**5/40 + d**4/16 + 3*d**2/2 - 1. Let z(l) be the second derivative of x(l). Let z(u) = 0. What is u?
0, 1
Let n(f) = 3*f**3 + f**2 - 2*f. Let u(v) = 16*v**3 + 6*v**2 - 10*v. Let a(d) = 11*n(d) - 2*u(d). Let a(l) = 0. What is l?
-1, 0, 2
Let m(i) be the first derivative of -i**3/18 + i**2/3 - i/2 + 4. Solve m(b) = 0 for b.
1, 3
Solve 2/17 + 2/17*q**5 - 4/17*q**3 - 4/17*q**2 + 2/17*q**4 + 2/17*q = 0.
-1, 1
Let w(a) = -8*a**4 - 15*a**3 - 6*a**2 - 5*a. Let h(g) = -g**5 + 15*g**4 + 30*g**3 + 11*g**2 + 11*g. Let s(o) = -3*h(o) - 7*w(o). Determine j so that s(j) = 0.
-1, -2/3, 0
Let s(q) = 20*q + 12. Let f(d) = d**2 + 20*d + 13. Let p(u) = -4*f(u) + 3*s(u). What is o in p(o) = 0?
-4, -1
Let t(o) be the third derivative of o**6/360 + 9*o**2. Determine g so that t(g) = 0.
0
Let z = 91 + -89. Let s(y) be the third derivative of 1/60*y**6 + 0*y**4 + 0*y**3 + 0*y + 2*y**z + 0*y**5 + 0. Factor s(w).
2*w**3
Let x(s) be the third derivative of -s**7/2520 - s**6/360 - s**5/120 + s**4/24 + 3*s**2. Let u(t) be the second derivative of x(t). Factor u(n).
-(n + 1)**2
Let p(n) be the second derivative of -n**4/30 - n**3/5 - 2*n**2/5 - 2*n - 3. Find s such that p(s) = 0.
-2, -1
Let s(b) = -5*b + 6. Let t be s(4). Let w be 1/3 - t/3. What is d in -w*d**2 + 3*d**2 + 3*d**4 - d**4 = 0?
-1, 0, 1
Let b(u) = u**3 - 3*u**2 - 3*u + 5. Let m be b(3). Let h be (m/(-14))/((-51)/(-119)). What is x in 0*x - 2/3*x**5 + 2/3*x**3 + 0 + 2/3*x**4 - h*x**2 = 0?
-1, 0, 1
Determine b so that 0*b**2 - 4*b**3 - b + 0*b**2 + 5*b = 0.
-1, 0, 1
Let a(d) be the first derivative of 1/15*d**6 - 1/10*d**4 + 0*d**3 + 0*d**5 + 0*d**2 + 0*d + 8. Factor a(f).
2*f**3*(f - 1)*(f + 1)/5
Let s = 68 + -336/5. Find r, given that s*r + 4/5*r**3 + 0 - 8/5*r**2 = 0.
0, 1
Let s = -27 + 83. Let f be s/10 + 3 + -7. Factor 4/5 - f*j**2 - 2/5*j + 6/5*j**3.
2*(j - 1)**2*(3*j + 2)/5
Suppose -5*x + 4*z + 45 = 9*z, 5*z = 25. Let r(v) be the first derivative of x + 1/5*v**3 + 0*v**2 - 3/5*v. Factor r(n).
3*(n - 1)*(n + 1)/5
Find x such that -54/5*x**3 + 52/5*x**4 + 8/5*x + 0 + 8/5*x**2 - 14/5*x**5 = 0.
-2/7, 0, 1, 2
Let b be (-46)/(-56) + 25/(-4) + 6. Let n(p) be the first derivative of 1/7*p**2 - 1 - 2/21*p**3 + b*p. Determine z, given that n(z) = 0.
-1, 2
Let 0*t**3 + 11*t**3 + 20*t**2 - 8*t + t**3 = 0. Calculate t.
-2, 0, 1/3
Let i(h) be the first derivative of -h**6/2 - 3*h**5 - 21*h**4/4 + h**3 + 12*h**2 + 12*h - 21. Let i(b) = 0. What is b?
-2, -1, 1
Let x(h) be the first derivative of h**8/336 - h**7/210 - h**2/2 - 4. Let y(m) be the second derivative of x(m). Find g, given that y(g) = 0.
0, 1
Let y = 26 + -46. Let z be 8/y*(-11 - -1). Factor -z*i + i**2 - 1 + 4*i.
(i - 1)*(i + 1)