 is i?
1
Let l(x) be the first derivative of -x**4/4 - 5*x**3/3 - 4*x**2 - 4*x + 2. Determine j so that l(j) = 0.
-2, -1
Let n(v) = -15*v**3 + 2*v**2 - 13*v + 13. Let t(l) = -7*l**3 + l**2 - 6*l + 6. Let a(q) = 6*n(q) - 13*t(q). Factor a(m).
m**2*(m - 1)
Let f = 2581/714 - 154/51. Let b(q) be the second derivative of -21/20*q**5 + 5/3*q**4 + 0 - 2/3*q**3 - q + f*q**7 + 0*q**2 - 2/3*q**6. Let b(a) = 0. What is a?
-1, 0, 2/5, 1
Suppose -2*f + 3*f = 9. Suppose 3*p = -i + 14, 4*p - 1 = 3*i + f. Let i*k + 4/3*k**2 + 2/3 = 0. What is k?
-1, -1/2
Let f(u) be the second derivative of -3*u**7/28 + 11*u**6/20 - 21*u**5/20 + 3*u**4/4 + u**3/4 - 3*u**2/4 - 22*u. Factor f(w).
-3*(w - 1)**4*(3*w + 1)/2
What is m in 12/13*m**3 + 0 + 8/13*m**5 + 0*m + 18/13*m**4 + 2/13*m**2 = 0?
-1, -1/4, 0
Let y(z) = -z**2 - 6*z - 7. Let o(h) = -8*h**2 - 49*h - 58. Let t(b) = -6*o(b) + 51*y(b). Factor t(p).
-3*(p + 1)*(p + 3)
Let t(n) be the first derivative of 3*n**4/4 + 9*n**3 - 15*n**2 - 20. Factor t(p).
3*p*(p - 1)*(p + 10)
Let u(d) be the second derivative of -4*d**5/5 + 3*d**4 - 9*d**3/2 - d**2/2 - d. Let m(i) be the first derivative of u(i). What is x in m(x) = 0?
3/4
Solve 0*q - 4*q + 6*q**3 - 4*q**2 + 4*q**4 - 2*q**3 = 0 for q.
-1, 0, 1
Let r = -61/105 - -5/7. Let o(f) be the first derivative of 0*f + 2/5*f**2 - 1 - r*f**3. Determine s so that o(s) = 0.
0, 2
Let i = 10 + -8. Factor -3*g - 7*g**i - 8*g**3 - 9/2*g**4 - g**5 - 1/2.
-(g + 1)**4*(2*g + 1)/2
Let v(j) = -5*j - 9. Let f be v(-4). Suppose -q + 3*i + f = i, 5*q + 4*i = -1. Factor -1/3*c**q + 1/3*c**2 - 1/3 + 1/3*c.
-(c - 1)**2*(c + 1)/3
Suppose o - 17 = -3*b, -o + 6*o = 5*b - 15. Factor 38/9*q**4 - 10/3*q**3 - 14/9*q**b + 4/9*q + 2/9*q**2 + 0.
-2*q*(q - 1)**3*(7*q + 2)/9
Let i(m) be the second derivative of 2/9*m**3 + 0*m**2 - 1/9*m**7 + 1/18*m**4 + 0 - 1/2*m**5 - 5*m + 19/45*m**6. Solve i(z) = 0 for z.
-2/7, 0, 1
Let h(v) be the second derivative of -v**6/120 - v**5/40 + v**3/2 - 6*v. Let z(k) be the second derivative of h(k). Factor z(d).
-3*d*(d + 1)
Let g(x) be the second derivative of x**5/80 - x**4/16 - x**3/24 + 3*x**2/8 + 7*x. Factor g(t).
(t - 3)*(t - 1)*(t + 1)/4
Let z(r) be the second derivative of -r**7/3360 - r**6/240 - r**5/40 - r**4/12 + r**3/3 + 3*r. Let q(t) be the second derivative of z(t). Factor q(l).
-(l + 2)**3/4
Let r be 7/((-2618)/(-24)) - 106/(-901). Factor -2/11*n**4 + 6/11*n**3 + r*n + 0 - 6/11*n**2.
-2*n*(n - 1)**3/11
Let c(h) be the first derivative of h**9/1512 + h**8/1260 - h**7/1260 + 2*h**3/3 - 2. Let g(z) be the third derivative of c(z). Solve g(n) = 0.
-1, 0, 1/3
Let f(r) = -r**2 + r + 1. Let q(n) = -3*n**2 - n + 1. Suppose 3*u + 0 - 12 = 0. Let v = -3 + u. Let t(k) = v*f(k) - q(k). Factor t(h).
2*h*(h + 1)
Let d be ((-2)/3)/(50/28). Let m = 2/75 - d. Factor 2/5*j**2 + m*j - 2/5*j**3 - 2/5.
-2*(j - 1)**2*(j + 1)/5
Let k be 3 - (2 + 0) - (-9 - -7). Find m, given that 2*m + 2*m**k + 3*m**2 + 1/2 + 1/2*m**4 = 0.
-1
Suppose 3*m + 42 = 3*k + 7*m, -5*k + 70 = 5*m. Let f be (-2 - (-24)/k)*-7. Factor 3*d**5 + 8*d**3 - 3 + 0 + 9*d**4 - 2*d**3 - 4*d - 5*d - 6*d**f.
3*(d - 1)*(d + 1)**4
Let f(m) = m**3 - 4*m**2 + 4*m - 1. Let s be f(3). Let a be (s - 4/3)*3. Determine g, given that 29*g**2 + 2*g + g - 2 - a*g - 28*g**3 = 0.
-1/4, 2/7, 1
Let k(y) be the third derivative of -y**7/1260 + y**6/360 - y**4/12 - 2*y**2. Let a(x) be the second derivative of k(x). Determine f so that a(f) = 0.
0, 1
Suppose -2 = 3*w - 11. Let s(j) = j**2 - j + 1. Let y(k) = -2*k**2 + 2*k - 5. Let f(z) = w*s(z) + y(z). Factor f(t).
(t - 2)*(t + 1)
Suppose -4*x + 34 - 2 = 4*p, 5*x - 12 = 2*p. Factor 4*j**x - j**5 - 2*j**4 + 3*j**5.
2*j**4*(j + 1)
Let n(z) be the second derivative of -2*z**7/21 - 8*z**6/15 - 3*z**5/5 + 4*z**4/3 + 8*z**3/3 - 4*z. Determine j, given that n(j) = 0.
-2, -1, 0, 1
Let k(m) be the third derivative of m**8/1008 - m**6/180 + m**4/72 - 7*m**2. Factor k(o).
o*(o - 1)**2*(o + 1)**2/3
Suppose 9*w**3 - 3*w + w**4 + 3*w**4 - 3*w**2 - 6*w**5 - w**4 = 0. Calculate w.
-1, -1/2, 0, 1
Let i(p) be the third derivative of p**9/120960 + p**8/8064 + p**7/1260 + p**6/360 - p**5/30 + 3*p**2. Let d(n) be the third derivative of i(n). Factor d(m).
(m + 1)*(m + 2)**2/2
Let g(i) be the second derivative of -i**7/560 + 11*i**6/1440 - i**5/120 + i**4/12 + 4*i. Let k(z) be the third derivative of g(z). Factor k(s).
-(s - 1)*(9*s - 2)/2
Suppose 3*s + a - 6 = 0, 0 = -s - 0*a - 4*a + 2. Factor 0 + 2/3*y**4 + 2/3*y + 2*y**s + 2*y**3.
2*y*(y + 1)**3/3
Suppose 0 = 3*n - 4*l + 151, -3*n + 139 = -6*n + l. Let a be (-28)/n + 4/(-18). Factor a*y**2 - 2/5*y**4 + 0 + 2/5*y**3 - 2/5*y.
-2*y*(y - 1)**2*(y + 1)/5
Let u(l) be the third derivative of -1/18*l**3 + 1/48*l**4 + 0*l - 1/360*l**5 + 0 + 11*l**2. Suppose u(n) = 0. What is n?
1, 2
Let h be (-159)/(-530)*((-32)/3)/(-1). Determine l so that 1/5*l**5 - 16/5*l + 4/5*l**4 + 0*l**3 + 0 - h*l**2 = 0.
-2, 0, 2
Let m(a) be the third derivative of a**8/168 + a**7/105 - 2*a**6/5 + 4*a**5/3 + 4*a**4/3 - 16*a**3 - 27*a**2. Factor m(q).
2*(q - 2)**3*(q + 1)*(q + 6)
Suppose -3*o = -7*o - 5*j + 45, 0 = -5*o + j + 20. Suppose -n + 5*y = -25, -10 = -2*n + n + 2*y. Factor 1/4*d**o + n + 1/2*d**2 - 1/2*d**4 + 0*d**3 - 1/4*d.
d*(d - 1)**3*(d + 1)/4
Find o, given that 16/5*o - 24/5 - 2/5*o**2 = 0.
2, 6
Let g = 10 + -10. Factor g + 2/5*u + 4/5*u**2 + 2/5*u**3.
2*u*(u + 1)**2/5
Let h be 2/28*7/30. Let x(r) be the third derivative of 1/24*r**4 + 0*r + 1/210*r**7 + 0*r**3 - 2*r**2 - h*r**5 - 1/120*r**6 + 0. Factor x(g).
g*(g - 1)**2*(g + 1)
Let p(a) be the first derivative of 3*a**4/22 - 26*a**3/11 - 87*a**2/11 - 90*a/11 + 41. Find s such that p(s) = 0.
-1, 15
Let k(f) be the first derivative of 2*f**6/3 - 3*f**5/5 - f**4/4 + 3. Factor k(m).
m**3*(m - 1)*(4*m + 1)
Solve 3/2 + p - p**3 - 2*p**2 + 1/2*p**4 = 0.
-1, 1, 3
Let a(x) be the first derivative of -7*x**6/27 + 116*x**5/45 - 92*x**4/9 + 544*x**3/27 - 176*x**2/9 + 64*x/9 - 37. Solve a(n) = 0 for n.
2/7, 2
Let o = 30 + -28. Suppose 3*r + 4 = -2*a, 0 = 2*r - o*a - 2*a - 24. Factor -1/4*t + 0 + 1/4*t**r.
t*(t - 1)/4
Suppose -18 + 9 = -3*i. Factor -16 + 4 - 15*o + o**2 - o**2 - i*o**2.
-3*(o + 1)*(o + 4)
Let q(x) be the second derivative of -x**6/1080 + x**5/120 + x**3/2 + x. Let a(b) be the second derivative of q(b). Determine r, given that a(r) = 0.
0, 3
Suppose -3*d + 17 = -4*q, q - 2*q = 5. Let b = d - -14. Factor 13*t + 2*t**5 - b*t.
2*t**5
Find h, given that -32/7 + 48/7*h**2 - 9/7*h**5 - 6*h**4 + 48/7*h - 40/7*h**3 = 0.
-2, 2/3
Solve -15*d**2 - 3*d + 27*d**5 + 12*d**3 + 3/2 + 99/2*d**4 = 0 for d.
-1, -1/2, 1/3
Suppose -5*u + 6 = 3*w - 13, -2*u - 8 = -4*w. Factor -3/5*m**2 + 0 + 0*m + 3/5*m**w.
3*m**2*(m - 1)/5
Let t(p) = -p**2 + 5*p - 1. Let m be t(4). Suppose 0*v**5 + 3*v**m - 3*v**3 - v**5 = 0. What is v?
0
Factor -l**3 - 8*l + 0*l + 3*l - 6*l**2 + 0*l.
-l*(l + 1)*(l + 5)
Let q be (-2 - 0)/((-7)/14). Let i(h) be the second derivative of -7/15*h**5 - 1/9*h**3 + 13/36*h**q + 2/9*h**6 + 0 + 0*h**2 + 2*h. Find n, given that i(n) = 0.
0, 2/5, 1/2
Let 0 - 16/5*s**2 + 6/5*s**4 - 8/5*s - 2/5*s**3 = 0. Calculate s.
-1, -2/3, 0, 2
Let x(q) be the first derivative of -5*q**2 - 4 + 20/3*q**3 + 2*q**5 - 1/3*q**6 + 2*q - 5*q**4. Determine f, given that x(f) = 0.
1
Let m be (1 - (-4)/(-1)) + (-1015)/(-336). Let i(c) be the third derivative of -1/60*c**5 - 3*c**2 + m*c**4 + 1/240*c**6 + 0*c + 0 + 0*c**3. Factor i(h).
h*(h - 1)**2/2
Let u = 44 + -41. Let h(m) be the third derivative of 0*m + 1/12*m**4 + 0 - u*m**2 + 0*m**3 + 1/30*m**5. Factor h(q).
2*q*(q + 1)
Let m(j) = -5*j**2 - 5*j + 25. Let x(v) = -3*v**2 - 3*v + 12. Let k(h) = -2*m(h) + 5*x(h). Factor k(i).
-5*(i - 1)*(i + 2)
Let t = 40/119 + -1/357. Find l such that 0 - t*l**2 + l = 0.
0, 3
What is g in 3/2*g**2 + 0 + 0*g = 0?
0
Let c(z) = 31*z**3 + 99*z**2 + 51*z + 19. Let x(g) = 16*g**3 + 49*g**2 + 26*g + 9. Let w(r) = -4*c(r) + 9*x(r). Factor w(j).
5*(j + 1)**2*(4*j + 1)
Let y(n) be the first derivative of 3*n**5/5 - 19*n**4/4 + 14*n**3 - 18*n**2 + 8*n - 7. Factor y(i).
(i - 2)**3*(3*i - 1)
Let u = -17 - -7. Let k be 1/2 + u/(-4). Suppose 0 - 3*l + 1 - l**3 + 6*l**2 - k*l**2 = 0. Calculate l.
1
Let k be 0/(5 + -8 - -8). Find u such that 1/5*u - 2/5*u**4 + 2/5*u**2 + 3/5*u**5 + k - 4/5*u**3 =