5*i.
(i + 1)**4
Let k = 1 + 1. Suppose -4 + 8 = -x - 2*z, 5*x = k*z + 16. Factor -4/5 - 2/5*o + 2/5*o**x.
2*(o - 2)*(o + 1)/5
Let t(w) = 5*w**2 + 11*w + 8. Let c(s) = s**2 + 6*s - 5. Let f be c(-6). Let q(d) = 3*d**2 + 7*d + 5. Let k(z) = f*t(z) + 8*q(z). Let k(l) = 0. What is l?
0, 1
Let a = 12 - 9. Find h, given that h**4 - a*h**3 - h**2 + 3*h - 3*h**4 + h**4 + 3 - 1 = 0.
-2, -1, 1
Let q(y) be the second derivative of y**6/1260 + y**5/105 + y**4/21 + y**3/3 - 3*y. Let u(k) be the second derivative of q(k). Factor u(h).
2*(h + 2)**2/7
Suppose -60 = 24*x - 36*x. Let 8*w**3 + 52/5*w**4 + 0*w + 0 + 14/5*w**x - 16/5*w**2 = 0. What is w?
-2, 0, 2/7
Suppose 0 - 1/7*q + 1/7*q**4 + 3/7*q**2 - 3/7*q**3 = 0. Calculate q.
0, 1
Let l be (-64)/24 - -1*4. Suppose -5*u + 10 = 0, 0 = -w - 2*w + 2*u + 2. Let 2/3*m**4 + l*m + 0*m**3 - 2*m**w + 0 = 0. What is m?
-2, 0, 1
Let v(m) = m**3 + m**2 + m. Let n(u) = 18*u**3 + 8*u**2 - 10*u - 4. Let l(w) = -n(w) + 4*v(w). Determine b, given that l(b) = 0.
-1, -2/7, 1
Let n(b) be the first derivative of b**6/15 + 6*b**5/25 + 3*b**4/10 + 2*b**3/15 + 6. Factor n(o).
2*o**2*(o + 1)**3/5
Let h(a) be the third derivative of a**9/12096 + a**8/6720 - a**3/2 + 3*a**2. Let k(o) be the first derivative of h(o). Factor k(u).
u**4*(u + 1)/4
Let d(a) be the first derivative of -a**3 - 3*a**2/2 + 2. Factor d(v).
-3*v*(v + 1)
Let x(q) be the first derivative of 3*q**4/8 + q**3/2 - 3*q**2/4 - 3*q/2 + 57. Factor x(b).
3*(b - 1)*(b + 1)**2/2
Let l(v) be the first derivative of -v**4 + 8*v**3/3 - 2*v**2 + 3. Factor l(k).
-4*k*(k - 1)**2
Let w(l) = -l**3 + 10*l**2 - 6*l + 13. Let s be w(9). What is t in 4*t**4 + 12*t**4 + 56*t + 12*t**2 - 6*t**3 - 2*t**4 - 16 - s*t**3 = 0?
-1, 2/7, 2
Let x(m) be the third derivative of -m**6/120 - m**5/15 + m**4/8 + 3*m**3 - 8*m**2. Factor x(v).
-(v - 2)*(v + 3)**2
Let o be (6/(-8))/(3/(-12)). Let y = o - 1. Solve -5*r**3 + 3*r**2 + 2*r**3 + 4*r + r**3 - r**y = 0 for r.
-1, 0, 2
Let h be ((-2)/(-5))/((-144)/(-45) + -3). Solve 0 - 4/5*j**3 + 2/5*j**h + 2/5*j = 0.
-1/2, 0, 1
Let m be 2 + 8/7*-1. Let k(f) = -f**3 + 8*f**2 + 9*f. Let s be k(9). Factor 4/7*x**2 + 0 + m*x**3 + s*x.
2*x**2*(3*x + 2)/7
Let m = -12 - -18. Let z be (6/(-3))/((-3)/m). Factor 3*s**z - 2*s**3 + 3*s - 2*s**4 + 4*s**4 + 2 - s**3 - 7*s**2.
(s - 1)**2*(s + 1)*(5*s + 2)
What is f in 2/5*f**2 - 1/5*f - 1/5*f**3 + 0 = 0?
0, 1
Suppose 0 = -4*b - 2*i + 18, 0 = 4*b + 4*i - i - 23. Solve -2/3*k**4 + 0*k + 0 + 2/3*k**3 + 2/9*k**5 - 2/9*k**b = 0.
0, 1
Let j(t) = 2*t**2 - 6*t + 6. Let b(l) = 2*l**2 - 5*l + 6. Let r(p) = -2*b(p) + 3*j(p). Factor r(o).
2*(o - 3)*(o - 1)
Let w(d) = -d**3 + 6*d**2 + 8. Let h be w(6). Factor -12*j - h - 6*j**2 + 3*j**2 - 4.
-3*(j + 2)**2
Let j(d) be the second derivative of d**5/5 - d**4 + 4*d**3/3 + 5*d. Factor j(v).
4*v*(v - 2)*(v - 1)
Let k(v) be the second derivative of 0*v**4 + 0 + 0*v**2 + 1/40*v**6 + 0*v**3 - v + 0*v**5. Factor k(h).
3*h**4/4
Let o be (12/(-7))/(6/(-21)). Suppose o*b = b + 15. Factor -2/3*m**b - 2/3*m + 0 + 4/3*m**2.
-2*m*(m - 1)**2/3
Factor 3/4*d**2 + 15/4*d + 9/4 - 3/4*d**3.
-3*(d - 3)*(d + 1)**2/4
Let r = -1 + 3. Suppose x = 5*h - 18, 5*h = -x + 15 + 7. Factor 3*l - 9*l**2 - 3*l**4 - x*l**4 + r*l**4 + 9*l**3.
-3*l*(l - 1)**3
Let m be (-6)/33 + 57/11. Suppose m*o = 21 + 9. Factor -3 - o*b + 1 + 6 + 2*b**2.
2*(b - 2)*(b - 1)
Suppose 9 = -0*w + 3*w. Suppose -x - w*x = 0. Let 4*o**2 + 16*o**4 - 32/5*o**5 + x - 2/5*o - 66/5*o**3 = 0. Calculate o.
0, 1/4, 1
Let q(v) be the second derivative of -v**6/105 - v**5/70 + v**4/14 + 5*v**3/21 + 2*v**2/7 - 3*v. Factor q(f).
-2*(f - 2)*(f + 1)**3/7
Let c(b) = b**3 + 9*b**2 + 8*b + 3. Let u be c(-8). Solve -2 + 2*w**2 + 4*w**u + 6*w - 5*w**3 - 5*w**3 = 0.
-1, 1/3, 1
Let c(x) be the third derivative of 1/12*x**4 + 1/180*x**6 + 1/30*x**5 + 1/3*x**3 + 0 + x**2 + 0*x. Let u(h) be the first derivative of c(h). Factor u(s).
2*(s + 1)**2
Factor -11*x**3 + 16 + 3*x**2 + 30*x + 2*x + 17*x**2 + 15*x**3.
4*(x + 1)*(x + 2)**2
Let w be (-20)/(-56)*(-16)/(-20). Let i(s) be the first derivative of -w*s**3 - 4/7*s + 2 - s**2. Factor i(u).
-2*(u + 2)*(3*u + 1)/7
Suppose -3*g + 0*g = 3*t - 18, -5*t = -2*g - 9. Let p(d) be the first derivative of 2/9*d**g + 0*d - 1/6*d**4 + 0*d**2 - 1. Let p(r) = 0. What is r?
0, 1
Let b(d) = -d**2 - 9*d - 6. Let c(i) = 4*i**2 + 45*i + 30. Let v(u) = -11*b(u) - 2*c(u). What is q in v(q) = 0?
-2, -1
Let v(u) be the first derivative of 8*u**5/85 - u**4/2 + 16*u**3/17 - 13*u**2/17 + 4*u/17 - 2. Find k such that v(k) = 0.
1/4, 1, 2
Factor 4/5*z**3 - 4/5*z**2 - 4/5*z + 4/5*z**4 + 0.
4*z*(z - 1)*(z + 1)**2/5
Let c(q) be the second derivative of q**8/504 - q**6/90 + q**4/36 - q**2 + 2*q. Let s(v) be the first derivative of c(v). Factor s(t).
2*t*(t - 1)**2*(t + 1)**2/3
Let x(g) = -g**2 - 9*g + 6. Let d be x(-9). Solve -4*n**3 + d*n**2 - 4*n + 0*n**3 + 2*n**3 = 0.
0, 1, 2
Determine l, given that -320/7*l - 4/7*l**5 - 128/7 - 320/7*l**2 - 40/7*l**4 - 160/7*l**3 = 0.
-2
Let k(h) = h**2 + 4*h - 77. Let p be k(7). Let a(o) be the first derivative of 0*o**3 + 0*o**2 + 2 + 0*o + 1/2*o**6 - 6/5*o**5 + p*o**4. Factor a(f).
3*f**4*(f - 2)
Let q(m) be the second derivative of -m**7/231 + m**6/165 + m**5/110 - m**4/66 - 2*m. Factor q(j).
-2*j**2*(j - 1)**2*(j + 1)/11
Suppose -n = 3*a - 20, 8 - 23 = -5*a + 2*n. Suppose -g**a - 4*g**2 - 3*g**3 - g + g + 3*g**2 - 3*g**4 = 0. What is g?
-1, 0
Let q(v) be the first derivative of v**4/3 - v**3/9 + 5. What is s in q(s) = 0?
0, 1/4
Suppose i - 12 = -i. Let q = i + -3. Suppose -2/3*z**q + 0 + 4/3*z**2 - 2/3*z = 0. Calculate z.
0, 1
Let w be 84/15 - 6/10. Suppose w*n = 16 - 1. Solve -3*l**3 + 2*l**n + 5*l**2 - 5*l**2 = 0 for l.
0
Let m(g) be the second derivative of -g**5/15 + g**4/6 - g**3/6 + g**2 - g. Let q(k) be the first derivative of m(k). Find n, given that q(n) = 0.
1/2
Let g(a) be the first derivative of 4*a**5/35 + 6*a**4/7 + 32*a**3/21 - 12*a**2/7 - 36*a/7 - 10. What is t in g(t) = 0?
-3, -1, 1
Suppose 5*p = -5*h + 20, -3*h + h = 4*p - 8. Let q(y) be the third derivative of p*y**3 + 1/120*y**6 - 1/24*y**4 + 2*y**2 + 0*y**5 + 0 + 0*y. Factor q(v).
v*(v - 1)*(v + 1)
Let a = -5 - -12. Let y be -1 + a + 0 + 0. Factor -q**2 - q**2 - 12*q**3 - y*q**4 + 18*q**5 + 2*q**3.
2*q**2*(q - 1)*(3*q + 1)**2
Let g(t) be the second derivative of t**6/160 - t**5/40 + t**4/32 + 2*t**2 - 5*t. Let i(a) be the first derivative of g(a). Determine s so that i(s) = 0.
0, 1
Let l(a) be the first derivative of a**6 + 4*a**5/5 - a**4/2 - 4. Solve l(f) = 0.
-1, 0, 1/3
Suppose 31 = -5*m + 5*i + 1, -2*m = i - 3. Let a be -4*((-1)/(-2) + m). Factor -2/3*y**a - 4/3 - 2*y.
-2*(y + 1)*(y + 2)/3
Suppose -2*t + 4*m = 10, -12 = -0*t + 4*t - 4*m. Let x be -3 - (2 - (t + 8)). Factor -2*d**4 + x*d**5 + 3 + 5*d**2 - 3 - 3*d**2 - 2*d**3.
2*d**2*(d - 1)**2*(d + 1)
Let g = 4 + 0. Suppose -3*d + 3*u + 21 = 0, 5*u - 5 = -2*d + g*u. Suppose -2*c**5 - 4*c**d + 2*c + 4*c**2 + 8 - 8 = 0. Calculate c.
-1, 0, 1
Factor -1/7*r**5 - 48/7*r - 32/7*r**3 - 8*r**2 - 16/7 - 9/7*r**4.
-(r + 1)*(r + 2)**4/7
Let z(n) be the second derivative of n**7/84 - n**6/15 + n**5/10 + n**4/12 - 5*n**3/12 + n**2/2 + 7*n. Factor z(o).
(o - 2)*(o - 1)**3*(o + 1)/2
Let q(x) be the third derivative of x**7/70 + x**6/20 - 3*x**5/20 - 5*x**2. Let q(k) = 0. What is k?
-3, 0, 1
Factor -1/4*q**5 + 0 - 1/4*q**2 + 1/4*q**4 + 1/4*q**3 + 0*q.
-q**2*(q - 1)**2*(q + 1)/4
Find w, given that 0 + 2/21*w**3 - 2/21*w + 2/21*w**2 - 2/21*w**4 = 0.
-1, 0, 1
Let d(l) = -23*l**3 - 75*l**2 - 120*l - 60. Let p(q) = 15*q**3 + 50*q**2 + 80*q + 40. Let a(y) = -5*d(y) - 8*p(y). Factor a(x).
-5*(x + 1)*(x + 2)**2
Let j(f) be the first derivative of 3/2*f**2 + 0*f + 1/4*f**4 + 1 - 1/20*f**5 + 0*f**3. Let t(m) be the second derivative of j(m). Factor t(b).
-3*b*(b - 2)
Let i(k) = -k**3 - 13*k**2 - k - 9. Let r be i(-13). Suppose -4*a + o = -9, a - 6*a = -r*o - 14. Factor 2/5 - 2/5*z**2 + 2*z**3 - a*z.
2*(z - 1)*(z + 1)*(5*z - 1)/5
Let w(r) be the second derivative of -r**5/160 + r**4/24 + 11*r**3/48 + 3*r**2/8 + 46*r. Solve w(j) = 0 for j.
-1, 6
Let f(w) = w**2 + w + 1. Let z(i) = -12*i**2 - 12*i - 15. Let g(s) = -15*f(s) - z(s). Find l such that g(l) = 0.
-1, 0
Let m be (-32)/(-20) + (-2)/(-5). Let x be 40/50*m/8. Su