e 6/v*30/9. Find j, given that -j**3 + 0 - 1/2*j**l + 1/2*j**2 + j = 0.
-2, -1, 0, 1
Let f(y) = 3*y - 1. Let b be f(2). Suppose -4*z + 3*z + 3*k = 11, k = -b*z + 25. Suppose -5/3*p**2 + 0 - p**3 - 1/3*p + 3*p**z = 0. Calculate p.
-1/3, 0, 1
Let y be 40/75*9/6. Find t such that 0*t**3 - 4/5*t**4 + y*t**2 - 2/5*t + 0 + 2/5*t**5 = 0.
-1, 0, 1
Suppose 0 = 23*b - 115 - 0. Factor 0*l + 0 - 2/5*l**b + 0*l**4 + 0*l**2 + 2/5*l**3.
-2*l**3*(l - 1)*(l + 1)/5
Let b = -63 - -67. Factor 0*m + 1/2*m**2 + 1/2*m**b + 0 - m**3.
m**2*(m - 1)**2/2
Let m(h) be the first derivative of h**4/14 - 10*h**3/21 + h**2 - 6*h/7 + 1. Factor m(b).
2*(b - 3)*(b - 1)**2/7
Let i(k) be the second derivative of k**5/80 + k**4/24 - 7*k**3/24 + k**2/2 - 14*k. Factor i(n).
(n - 1)**2*(n + 4)/4
Let o be 3/(-6)*(0/(-1) - 0). Let o - 2/9*f**2 + 2/9*f = 0. Calculate f.
0, 1
Let v(r) be the second derivative of -3*r**5/140 - 3*r**4/14 - 5*r**3/14 + 5*r. Solve v(c) = 0.
-5, -1, 0
Let n(m) = -m**4 - 5*m**2 + 5*m + 5. Let s(w) = -2*w**2 + 2*w + 2. Let p(r) = 2*n(r) - 5*s(r). Factor p(z).
-2*z**4
Let d(o) = -o**3 - 2*o**2 - 2*o - 1. Let i be d(-1). Factor 0*t**2 + i*t**2 + 2*t + t**2.
t*(t + 2)
Suppose -m = -4*s - 29, s - 31 = 2*s - 5*m. Let f be (1 - -5)*(-9)/s. Factor 8*u - 1 + 5*u**2 - 3*u**2 + f.
2*(u + 2)**2
Let i(w) be the first derivative of 2/15*w**3 + 2/5*w**2 + 0*w - 1/10*w**4 - 4. Find k such that i(k) = 0.
-1, 0, 2
Let j = -61 - -66. Let p(q) be the third derivative of 1/120*q**j + q**2 + 0*q**4 - 1/12*q**3 + 0*q + 0. Factor p(w).
(w - 1)*(w + 1)/2
Suppose 4*l - 2 = 10. Let y be l/(((-9)/(-4))/3). Factor -3/4*o**3 - 1/4*o**5 + 0 + 0*o + 3/4*o**y + 1/4*o**2.
-o**2*(o - 1)**3/4
What is n in -n**3 + 3*n**2 - 4 + 6*n - 5*n - 4*n + 5 = 0?
1
Determine i, given that -2/5*i**3 + 0 + 2/5*i + 0*i**2 = 0.
-1, 0, 1
Let v(a) be the first derivative of -a**4 + 16*a**3/3 + 49. Find d, given that v(d) = 0.
0, 4
Suppose 8*y = 41 - 9. Let a(d) be the second derivative of 0 - y*d + 6*d**2 + 2*d**3 + 1/4*d**4. Factor a(o).
3*(o + 2)**2
Let -4*j**4 - 6*j**3 + 4 + j**3 + 8*j + 2*j**3 - 5*j**3 = 0. Calculate j.
-1, 1
Let u = 13667 + -450964/33. Let c = u + -12/11. Determine k, given that 1/3*k**4 + 4/3*k**3 + c + 2*k**2 + 4/3*k = 0.
-1
Let o(j) = -3*j**2 - 85*j - 507. Let y(b) = -b**2 - 28*b - 169. Let p(l) = 2*o(l) - 7*y(l). Factor p(n).
(n + 13)**2
Let l be (-58)/(-6) - 3/(-9). Suppose 5*n + z - l = 0, -n - 32 = -5*n + 4*z. Determine u so that -n*u**3 + 3*u - 5*u + 5*u**3 = 0.
-1, 0, 1
Suppose 4*z + 20 = 4*g, 4*g - 20 = -5*z + 2*z. Factor -3 - 9*s**3 - 18*s**2 + 17*s - 3*s**2 + z*s**2.
-(s + 3)*(3*s - 1)**2
Let s(a) be the second derivative of -a**8/3360 - a**7/630 - a**6/360 + a**4/4 - 2*a. Let x(c) be the third derivative of s(c). Suppose x(b) = 0. What is b?
-1, 0
Suppose -5*t + 112 - 92 = 0. Let w(q) be the first derivative of 1/3*q**6 + 0*q**5 - 1 + 0*q - 1/2*q**t + 0*q**3 + 0*q**2. Determine v, given that w(v) = 0.
-1, 0, 1
Solve 4/11*a - 2/11*a**2 + 0 = 0.
0, 2
Solve 1 + 1/3*w**2 + 4/3*w = 0.
-3, -1
Determine z, given that -1/5*z**2 + 0*z + 1/5*z**3 - 1/5*z**5 + 0 + 1/5*z**4 = 0.
-1, 0, 1
Let a(r) = r**3 + 2*r**2 + r + 2. Let w be a(-2). Let t = 74 - 70. Factor 1/5*q**3 - 2/5*q**t + 1/5*q**5 + 0*q**2 + 0 + w*q.
q**3*(q - 1)**2/5
Let x(m) be the first derivative of -m**6/3 - 2*m**5/5 + 5*m**4/2 + 10*m**3/3 - 4*m**2 - 8*m - 5. Suppose x(z) = 0. Calculate z.
-2, -1, 1, 2
Let o be ((-7)/(-14))/((-2)/(-12)). Let d(h) be the second derivative of 0*h**2 + 1/6*h**4 - 1/3*h**o + h + 0. Factor d(f).
2*f*(f - 1)
Factor 192*c - c**2 - 192*c.
-c**2
Let b(q) be the second derivative of q**4/48 - q**3/24 - q. What is u in b(u) = 0?
0, 1
Let c = 1151/57 - -237/19. Factor c*y**3 + 0 + 8/3*y + 56/3*y**2.
2*y*(7*y + 2)**2/3
Let p(s) = 5*s**4 - 15*s**3 + 27*s**2 - 19*s. Let r(v) = -29*v**4 + 89*v**3 - 161*v**2 + 113*v. Let u(x) = -34*p(x) - 6*r(x). Factor u(d).
4*d*(d - 2)**3
Let t be 4 - 3/((-75)/(-85)). What is u in 6/5*u**2 + 0*u**3 - 3/5 - t*u**4 + 0*u = 0?
-1, 1
Factor 0*p + 0*p**3 + 0 - 5/3*p**5 - 1/3*p**4 + 0*p**2.
-p**4*(5*p + 1)/3
Let v(k) be the first derivative of -k**3/2 - 3*k**2/2 - 3*k/2 - 9. Let v(j) = 0. Calculate j.
-1
Let g(n) be the third derivative of 0*n + 1/80*n**5 + 1/24*n**3 - 1/32*n**4 - 2*n**2 + 0 - 1/480*n**6. Determine l, given that g(l) = 0.
1
Suppose 18*q = 16*q + 6. Let w(i) be the first derivative of -3 + 7*i**2 + 16/3*i**q + 3/2*i**4 + 4*i. Factor w(r).
2*(r + 1)**2*(3*r + 2)
Suppose 0*j - 30 = 2*j. Let h be ((-20)/j)/((-2)/(-5)). Factor 4/3 - h*y**2 + 2*y.
-2*(y - 1)*(5*y + 2)/3
Let c be (8 - 2)*3/(-9). Let s be ((-8)/14)/(c/7). Let 96*g**5 + g**4 - 3*g**4 - 62*g**4 + 39*g**3 - 21*g + 71*g**s - 105*g**3 + 2 = 0. Calculate g.
-1, 1/4, 1/2, 2/3
Let r(y) be the third derivative of 0*y - 2/3*y**3 - 3*y**2 - 1/6*y**4 - 1/60*y**5 + 0. Determine n so that r(n) = 0.
-2
Let m be -5 - -3 - (-2)/(-2). Let x(l) = -l**3 - 3*l**2 - l - 1. Let n be x(m). Factor 2/3*y**3 - 4/3*y**n + 4/3 - 2/3*y.
2*(y - 2)*(y - 1)*(y + 1)/3
Let q = -6 + 9. Let m(l) = l**3 + l**2 + l. Let z(a) = -7*a**2. Let k(t) = 6*t**2. Let i(v) = 5*k(v) + 4*z(v). Let x(y) = q*i(y) - 2*m(y). Solve x(s) = 0.
0, 1
Factor s**3 - 7*s**3 + 3*s + 5*s**2 - 5 - 4*s**4 + 4 + 3*s**3.
-(s - 1)*(s + 1)**2*(4*s - 1)
Suppose -27 = 7*f - 10*f. Let q be (7 - 5)*1/f. Factor 2/3*t + q*t**3 - 2/3*t**2 - 2/9.
2*(t - 1)**3/9
Factor -8/9 + 16/9*b + 2/9*b**3 - 10/9*b**2.
2*(b - 2)**2*(b - 1)/9
Let d(g) be the second derivative of g**5/50 - 9*g**4/10 + 81*g**3/5 - 729*g**2/5 + 18*g. Factor d(k).
2*(k - 9)**3/5
Let d(n) be the second derivative of n**4/12 - n**3/6 + 3*n. Let y be d(1). Suppose 1/3*g**2 - 1/3*g**4 + y*g + 0 + 0*g**3 = 0. What is g?
-1, 0, 1
Solve -8*y - 8*y**2 - 2*y - 8 - 10*y + 0*y = 0 for y.
-2, -1/2
Let u be 3 - (-3 + 6/2). Suppose d - u*z = -6*z - 3, -13 = -3*d + 2*z. Solve 2 + 7 - 14*k**2 + 14*k**4 + 4*k**d - 4*k - 9 = 0 for k.
-1, -2/7, 0, 1
Suppose 32*g - 3 = 31*g. Determine a so that 0 + a**4 + 1/2*a - a**2 + 0*a**g - 1/2*a**5 = 0.
-1, 0, 1
Let y = 0 - 2. Let m be (-10)/(-35) - (y - -2). Factor m*v**3 + 0 + 0*v**2 + 0*v.
2*v**3/7
Let a(p) be the first derivative of p**4/14 - 2*p**3/21 - p**2/7 + 2*p/7 - 5. Let a(f) = 0. What is f?
-1, 1
Let 1/2*y**2 + 8 - 4*y = 0. What is y?
4
Let s(k) = k**3 - k - 1. Let f(u) = -3*u**3 + 5*u**2 + 2*u. Let a(i) = -f(i) - 2*s(i). Let d be a(5). Solve 2*m - 2*m**d - m**3 - 3*m + 0*m = 0 for m.
-1, 0
Let f(m) be the second derivative of -m**5/5 - 5*m**4/3 - 14*m**3/3 - 6*m**2 - 19*m. Suppose f(g) = 0. Calculate g.
-3, -1
Find s, given that -2/9 - 8/9*s + 10/9*s**2 = 0.
-1/5, 1
Let v(m) be the third derivative of 0*m + 0 + 1/21*m**3 + 5*m**2 + 1/210*m**5 + 1/42*m**4. Suppose v(q) = 0. What is q?
-1
Let a(x) be the third derivative of -x**9/20160 + x**8/26880 + x**7/3360 - x**6/2880 + x**4/8 - 3*x**2. Let f(h) be the second derivative of a(h). Factor f(y).
-y*(y - 1)*(y + 1)*(3*y - 1)/4
Let n(j) be the second derivative of -4*j + 0 - 2/9*j**3 - 1/3*j**2 - 1/18*j**4. What is r in n(r) = 0?
-1
Suppose -5*v - 2*a - 5 = 3*a, 3*v + 13 = 2*a. Let u(n) = 16*n - 3*n**2 + 6*n - 9 - 7*n. Let s(j) = -6*j**2 + 29*j - 19. Let x(p) = v*s(p) + 5*u(p). Factor x(z).
3*(z - 2)**2
Let x(g) be the third derivative of -g**8/16800 - g**7/6300 + g**4/6 + g**2. Let q(b) be the second derivative of x(b). Find m such that q(m) = 0.
-1, 0
Let p(v) be the second derivative of 5*v**5/16 + 5*v**4/6 - 19*v**3/24 + v**2/4 + 18*v. Factor p(g).
(g + 2)*(5*g - 1)**2/4
Let m(x) be the first derivative of x**6/18 + 2*x**5/5 + x**4/2 - 16*x**3/9 - 5*x**2/2 + 6*x - 8. Solve m(t) = 0 for t.
-3, -2, 1
Let o = -2 - 0. Let i(z) = -z**3 - z**2 - 2. Let w be i(o). Factor 2/7*j**4 + 0*j**w - 4/7*j**3 + 4/7*j - 2/7.
2*(j - 1)**3*(j + 1)/7
Let o be (-6 - 916/(-140)) + (-4)/28. Find a such that 3/5*a**4 - o*a**3 + 3/5*a - 2/5*a**2 - 1/5 - 1/5*a**5 = 0.
-1, 1
Let d = 2 - -6. Determine j, given that 14*j**4 + 4*j**5 - 4*j - d*j**2 - 6*j**4 + 0*j**5 = 0.
-1, 0, 1
Solve 3/5*n**3 + 0 - 3/5*n + 3/5*n**4 - 3/5*n**2 = 0.
-1, 0, 1
Let q(u) = -5*u**2 - 4*u - 3. Let z be (-172)/12 - 4/6. Let w = z - -10. Let c(p) = 5*p**2 + 4*p + 4. Let t(s) = w*q(s) - 4*c(s). Factor t(g).
(g + 1)*(5*g - 1)
Let 0*z**3 - 43*z + 6*z**2 + 40*z - 3*z**3 = 0. What is z?
0, 1