 - j**6/54 + j**5/27 - 5*j**4/108 + j**3/27 + 3*j**2. Factor c(n).
-2*(n - 1)**5/9
Let c(l) = -l**3 + 6*l**2 + 3. Let o be c(6). Determine g so that -2/5*g**o + 2/5*g + 0 - 2/5*g**4 + 2/5*g**2 = 0.
-1, 0, 1
Let d be (-6)/(-4)*(2 - (-10)/(-15)). Let b(u) be the second derivative of 0*u**3 + 0*u**d + 0 + 1/24*u**4 - 1/80*u**5 + 3*u. What is s in b(s) = 0?
0, 2
Let t(s) = 3*s**3 + 3*s**2 + 2*s + 2. Let j(z) = 21*z**3 + 15*z**2 + 7*z**2 + 15*z - z**2 + 15. Let u(x) = 2*j(x) - 15*t(x). Determine a, given that u(a) = 0.
-1, 0
Let p(q) be the second derivative of q**6/195 + 3*q**5/65 + 2*q**4/13 + 8*q**3/39 - 3*q. Find r, given that p(r) = 0.
-2, 0
Suppose 2*q + 5*g = -29, -2*q = -q + 4*g + 22. Let x = 4 + q. Factor -2*j**2 - 10*j + 2*j**3 - x*j**2 + 8*j**3 + 4.
2*(j - 1)*(j + 1)*(5*j - 2)
Let g(a) = a**2 + a - 1. Let h(r) = 74*r**2 - 11*r - 14. Let i(f) = -4*g(f) + h(f). Factor i(j).
5*(2*j - 1)*(7*j + 2)
Let k(o) be the third derivative of 6*o**2 + 0*o**5 + 0*o + 1/80*o**6 + 0 - 3/16*o**4 + 1/2*o**3. Factor k(x).
3*(x - 1)**2*(x + 2)/2
Let y = 155 + -155. Factor 0 + 1/3*j**2 + y*j + 1/3*j**3.
j**2*(j + 1)/3
What is a in -a**5 - 2 + 4*a**2 - 40*a - 4*a**4 + 2*a**3 + 24*a + 15*a + 2*a**4 = 0?
-2, -1, 1
Let r(i) be the third derivative of i**7/168 + i**6/48 - i**5/48 - 5*i**4/48 - 30*i**2. Determine z so that r(z) = 0.
-2, -1, 0, 1
Suppose -59*r = -61*r + 6. Solve -r - 1/3*s**2 + 2*s = 0 for s.
3
Let n be ((-112)/392)/(20/(-14)). Factor n*m**2 - 1/5*m**4 + 0*m + 1/5*m**5 - 1/5*m**3 + 0.
m**2*(m - 1)**2*(m + 1)/5
Let z(n) be the second derivative of -2*n**7/105 - 4*n**6/75 + 2*n**5/25 + 8*n**4/15 + 14*n**3/15 + 4*n**2/5 + 8*n. Suppose z(c) = 0. Calculate c.
-1, 2
Suppose -1/3*q**3 + 0 + 0*q + q**2 = 0. Calculate q.
0, 3
Let y = 3 + 8. Let z(d) = -3*d**2 + d - 7. Let x(w) = w**2 - w + 4. Let o(i) = y*x(i) + 6*z(i). Solve o(n) = 0.
-1, 2/7
Let x(j) be the first derivative of -3*j**5/5 - 3*j**4/2 + 3*j**2 + 3*j - 3. Find c, given that x(c) = 0.
-1, 1
Let t(a) = -a**3 - a**2 + a. Let d(x) = 3*x**5 - 3*x**3 + 12*x**2 - 6*x. Let j(q) = d(q) + 6*t(q). Solve j(k) = 0.
-2, 0, 1
Find g, given that 4*g**2 + 53 + 11 - 10*g - 35*g + 13*g = 0.
4
Suppose -h + 3*h = 3*j + 15, -h = -2*j - 10. Let n(f) be the second derivative of 1/10*f**6 + 0 - 1/4*f**5 + 1/6*f**4 - 2*f + h*f**2 + 0*f**3. Solve n(d) = 0.
0, 2/3, 1
Factor 4/7*y**2 - 12/7*y + 0.
4*y*(y - 3)/7
Solve 7/2*s**3 + 2*s**4 + 3/2*s + 0 - 7*s**2 = 0 for s.
-3, 0, 1/4, 1
Let l(p) = -p**2 + 7*p. Let z be l(7). Factor d**4 - d + 3*d**2 + 2*d + z*d + 3*d**3.
d*(d + 1)**3
Let x(b) be the second derivative of -7*b**6/60 - 13*b**5/15 - 5*b**4/3 + 8*b**3/3 + 7*b**2/2 + 11*b. Let f(d) be the first derivative of x(d). Factor f(o).
-2*(o + 2)**2*(7*o - 2)
Let p(b) be the third derivative of b**5/150 + 7*b**4/60 + 2*b**3/3 - 27*b**2. Factor p(n).
2*(n + 2)*(n + 5)/5
Let h(j) be the second derivative of -4*j**7/21 - 19*j**6/15 - 7*j**5/10 + 13*j**4/2 - 3*j**3 + 5*j. What is c in h(c) = 0?
-3, 0, 1/4, 1
Let y(d) = -d**3 - 3*d**2 - d - 3. Let v(u) = 3*u. Let q be v(-1). Let p be y(q). What is h in 2/5*h + p - 4/5*h**2 + 4/5*h**4 - 2/5*h**5 + 0*h**3 = 0?
-1, 0, 1
Let s = 9/10 - 2/5. Let d(k) be the first derivative of -s*k**2 + 0*k + 1/4*k**4 + 2 - 2/5*k**5 + 2/3*k**3. Factor d(g).
-g*(g - 1)*(g + 1)*(2*g - 1)
Let o(l) be the first derivative of -l**5/5 + l**3 + l**2 - 11. Suppose o(u) = 0. What is u?
-1, 0, 2
Suppose -12*z**2 - 3/4*z**3 - 33/4*z - 3/2 + 9/2*z**4 = 0. Calculate z.
-1, -1/2, -1/3, 2
Let i(t) be the first derivative of -t**5/10 - t**4/2 - 5*t**3/6 - t**2/2 + 7. Factor i(a).
-a*(a + 1)**2*(a + 2)/2
Let g(p) be the first derivative of 12*p**6/13 + 96*p**5/65 - 23*p**4/26 - 94*p**3/39 - p**2 - 2*p/13 - 26. Determine d so that g(d) = 0.
-1, -1/6, 1
Let d(j) = j**3 + 3*j**2 + j + 1. Let b be d(-3). Let y = b - -2. Factor -1/4*v**2 + y - 1/4*v.
-v*(v + 1)/4
Let x(r) be the second derivative of 3*r**5/160 - r**4/8 + 5*r**3/16 - 3*r**2/8 + 18*r. Let x(u) = 0. What is u?
1, 2
Let j be 3 - 1 - (-2)/1. Find k such that -4 + 6*k**2 + 0*k - 2*k**3 - 2*k**4 + 6*k - j*k = 0.
-2, -1, 1
Let w(q) be the third derivative of 1/5*q**6 - 1/20*q**5 - 1/4*q**4 + 0*q**3 - 3*q**2 + 0*q + 0 - 1/14*q**7. Factor w(o).
-3*o*(o - 1)**2*(5*o + 2)
Let u(p) be the third derivative of -p**5/330 - p**4/6 - 11*p**3/3 + 25*p**2. Find j such that u(j) = 0.
-11
Suppose -49 + 10 = -13*o. Let 0*j**2 + 1/2*j**5 + 0 + 0*j**4 + 0*j**o + 0*j = 0. What is j?
0
What is j in 2/13*j**3 - 128/13 + 96/13*j - 24/13*j**2 = 0?
4
Let s(w) = -w - 1. Let m be s(-5). Suppose -42*t**5 + 3*t**2 - 34*t**4 + m*t - 48*t**4 - 22*t**3 + 7*t**2 - 12*t**3 = 0. What is t?
-1, -2/7, 0, 1/3
Let m be (-4)/(-5)*(-10)/(-4). Find o, given that o - 5*o + 0*o - m*o**2 = 0.
-2, 0
Let y = 0 - -6. Determine m so that -6*m + 2*m**3 - y*m**4 - m**2 + 2*m**5 + 2*m**3 + 5*m**2 + 2 = 0.
-1, 1
Suppose -2*x - 11 - 1 = 0. Let u = x + 12. Factor 2*t**4 - 2*t**3 - u*t**4 - 2*t**5 + 0*t**4.
-2*t**3*(t + 1)**2
Let d(q) be the third derivative of 1/144*q**4 + 0 + 1/36*q**3 - 1/180*q**5 - q**2 + 1/2016*q**8 + 0*q + 1/1260*q**7 - 1/360*q**6. Factor d(w).
(w - 1)**2*(w + 1)**3/6
Let r(k) be the first derivative of 3 + k + 1/2*k**4 - 1/5*k**5 + 0*k**3 - k**2. Solve r(c) = 0.
-1, 1
Let z be (-84)/(-35)*(-10)/(-4). Let -4*o**2 + z*o + 5*o**2 - o**2 - 3*o**2 - 3 = 0. Calculate o.
1
Let t(k) be the first derivative of -k**3/2 + 9*k**2/4 - 3*k - 5. Factor t(y).
-3*(y - 2)*(y - 1)/2
Let q(a) be the third derivative of a**7/840 - a**6/480 + 8*a**2. Determine g so that q(g) = 0.
0, 1
Let 0*l - 2/13*l**2 + 0 = 0. Calculate l.
0
Let i(s) be the first derivative of s**9/1512 - s**8/840 - s**7/210 - 2*s**3 - 2. Let z(w) be the third derivative of i(w). What is y in z(y) = 0?
-1, 0, 2
Let r(k) be the third derivative of -k**6/60 - 2*k**5/15 + 13*k**2. Factor r(u).
-2*u**2*(u + 4)
Factor 0*n + 0 - 2/5*n**4 - 1/5*n**3 + 3/5*n**5 + 0*n**2.
n**3*(n - 1)*(3*n + 1)/5
Let n = -315 + 2211/7. What is d in 0 + n*d**3 + 2/7*d**5 + 8/7*d**2 - 8/7*d - 8/7*d**4 = 0?
-1, 0, 1, 2
Let b = -267 - -537/2. Let 3/2*n**3 - b*n**4 + 0*n - 3/2*n**5 + 3/2*n**2 + 0 = 0. Calculate n.
-1, 0, 1
Let r(n) = n**3 + 10*n**2 - 4*n - 37. Let o be r(-10). What is c in 57/2*c - 30*c**2 - 75/8*c**o - 6 = 0?
-4, 2/5
Let o(f) = -f**2 - 4*f + 21. Let n(g) = 3. Let y(a) = 21*n(a) - 3*o(a). Factor y(w).
3*w*(w + 4)
Let x(p) be the first derivative of 6*p**5/5 + p**4 - 2*p**3/3 - 10. Factor x(d).
2*d**2*(d + 1)*(3*d - 1)
Let l(u) be the first derivative of 27*u**5/20 - 9*u**4/4 + 2*u**2 - 3*u + 3. Let j(q) be the first derivative of l(q). Let j(i) = 0. Calculate i.
-1/3, 2/3
Let l be 3 + (-4 - (4 - 7)). Solve -1/4*p + 1/4*p**3 - 1/4*p**l + 0 + 1/4*p**4 = 0.
-1, 0, 1
Let u be (8/3 + -3)*(1 + -1). Factor -3/7*a**3 + 0 + 3/7*a + u*a**2.
-3*a*(a - 1)*(a + 1)/7
Let h(a) be the first derivative of a**4/6 - 8*a**3/27 - a**2/9 + 4*a/9 - 25. Let h(l) = 0. What is l?
-2/3, 1
Factor 0*p + 1/5*p**2 + 0.
p**2/5
Let x(f) = -44*f**4 - 62*f**3 + 18*f**2 + 10*f - 26. Let i(c) = 5*c**4 + 7*c**3 - 2*c**2 - c + 3. Let o(m) = -52*i(m) - 6*x(m). Suppose o(g) = 0. Calculate g.
-2, -1, 0, 1
Let i(w) be the third derivative of w**5/12 + 5*w**4/8 + 5*w**3/3 - 8*w**2. Factor i(o).
5*(o + 1)*(o + 2)
Let z(o) = 0*o + o + 0*o**3 + 5*o**2 - 4*o**3 - 3*o**2. Let v(q) = -5*q**3 + 2*q**2 + q. Let g(p) = 5*v(p) - 6*z(p). Factor g(w).
-w*(w + 1)**2
Let m(f) be the third derivative of -f**7/210 + f**6/20 - 13*f**5/60 + f**4/2 - 2*f**3/3 - 21*f**2 - 1. Find o, given that m(o) = 0.
1, 2
Let x = 39 + -35. Let j(s) be the first derivative of -3*s**2 + 2 - 1/8*s**x + 4*s + s**3. Let j(v) = 0. Calculate v.
2
Let f(q) be the second derivative of q**4/15 + q**3/3 + 2*q**2/5 + 6*q. Factor f(a).
2*(a + 2)*(2*a + 1)/5
Find g such that -24/7*g + 22/7*g**2 - 8/7 + 60/7*g**3 - 50/7*g**4 = 0.
-2/5, 1
Let a(u) be the third derivative of -1/2*u**4 + 1/24*u**6 + 0 + 4*u**2 + 2/3*u**3 + 0*u + 1/20*u**5. Factor a(x).
(x - 1)*(x + 2)*(5*x - 2)
Let z(f) be the second derivative of 2*f**7/49 - 17*f**6/105 + 13*f**5/70 + f**4/14 - f**3/3 + 2*f**2/7 - 3*f. Suppose z(n) = 0. Calculate n.
-2/3, 1/2, 1
Factor g - g**3 + 4*g**2 - g**3 - 2*g**4 + g - 2*g**2.
-2*g*(g - 1)*(g + 1)**2
Suppose 0*n + 0*n = n. Factor -1/3*v - 1/3*v