(j) = 0. What is j?
-1, -2/3, 2/3, 1
Let y be (8/3)/(-5 + 7). Let t(n) be the first derivative of 0*n - 1/9*n**6 - y*n**4 + 8/9*n**3 - 2 + 0*n**2 + 2/3*n**5. Suppose t(q) = 0. What is q?
0, 1, 2
Suppose -6/5*f**3 + 0*f + 0 - 3/5*f**2 - 3/5*f**4 = 0. Calculate f.
-1, 0
Let s(z) = z**2 - 4*z**4 + 3*z**4 + 2*z**4. Let g(b) = 2*b**5 - 6*b**4 - 2*b**2. Let u(w) = -g(w) - 3*s(w). What is c in u(c) = 0?
-1/2, 0, 1
Find s such that 2/3*s + 1/3*s**2 + 0 = 0.
-2, 0
Let w be (3 - (-25)/(-15)) + 6/36. Solve w*o**3 - 3/4*o**4 + 0 - 3/4*o**2 + 0*o = 0.
0, 1
Let z(p) = p**2 + 5*p - 4. Let w be z(-6). Determine h, given that 18/7*h - 4/7 - w*h**2 = 0.
2/7, 1
Let a(x) be the third derivative of -x**6/780 + x**5/390 + x**4/156 - x**3/39 + 7*x**2. Factor a(c).
-2*(c - 1)**2*(c + 1)/13
Factor -1/2*j**2 - 5*j - 25/2.
-(j + 5)**2/2
Determine v so that -1/5*v**2 + 0*v + 0 + 1/5*v**3 = 0.
0, 1
Let l(x) be the second derivative of 0*x**2 - 3/50*x**5 + 3*x + 0*x**3 - 1/30*x**4 + 0 - 1/105*x**7 - 1/25*x**6. Factor l(n).
-2*n**2*(n + 1)**3/5
Let q(k) = -4*k**3 + 3*k**2 + 8*k + 1. Suppose 1 = b - 2*b. Let g(w) = -w**3 + w. Let y(o) = b*q(o) + 5*g(o). Find p such that y(p) = 0.
-1
Suppose -4*f = -5*k - 0*k - 33, 4*k = -f - 18. Let y(l) be the first derivative of 6/7*l**3 + 2/7*l - f - 1/2*l**4 + 4/35*l**5 - 5/7*l**2. Solve y(n) = 0.
1/2, 1
Suppose 2*o = -23 - 7. Let p be (2/(-5))/(18/o). Suppose 0 + 0*x - p*x**2 - 3*x**4 + 2*x**3 = 0. Calculate x.
0, 1/3
Let n(p) be the third derivative of -3/11*p**3 - 1/330*p**5 + 0 + 1/22*p**4 + 0*p + 3*p**2. Factor n(o).
-2*(o - 3)**2/11
Let n(o) be the first derivative of -o**4/6 + 4*o**3/9 + 6. Suppose n(m) = 0. What is m?
0, 2
Suppose -4*i = -2*w + 12, 2*w - 12 = -w + 4*i. Let y = w + 2. Determine b, given that -2*b - b**2 + 0*b**y + 4 - b**2 = 0.
-2, 1
Let g(f) be the third derivative of -1/510*f**6 + 0*f - 3*f**2 + 1/204*f**4 + 0*f**3 + 0*f**7 + 0*f**5 + 0 + 1/2856*f**8. Factor g(k).
2*k*(k - 1)**2*(k + 1)**2/17
Factor 2/5 - 16/5*w**2 - 9/5*w**3 - w.
-(w + 1)**2*(9*w - 2)/5
Let m be 4 - (6/30 - 4/(-5)). Find a, given that 0*a**2 + 0 - 2/7*a**m + 2/7*a = 0.
-1, 0, 1
Let m(y) be the first derivative of 0*y - 1/5*y**4 - 4 + 0*y**3 - 14/25*y**5 - 1/3*y**6 + 0*y**2. Solve m(w) = 0.
-1, -2/5, 0
Factor -8*u**3 + 4*u**4 + 15*u + 11*u - 18*u - 4 + 16 - 16*u**2.
4*(u - 3)*(u - 1)*(u + 1)**2
Determine r, given that 0*r**3 + 0 + 2/11*r**5 + 4/11*r**4 - 2/11*r - 4/11*r**2 = 0.
-1, 0, 1
Let a(h) = h**3 + 2*h**4 - 2 - 2 + 2*h**2 - 2 + 3. Let d(v) = -6*v**3 - 6*v**4 + 16 - 4*v**4 - 10*v**2 - 2. Let i(o) = -14*a(o) - 3*d(o). Factor i(j).
2*j**2*(j + 1)**2
Let m = 8 - 5. Let r(i) be the third derivative of 0*i**5 + 1/120*i**6 + i**2 + 0*i - 1/24*i**4 + 0 + 0*i**m. Let r(p) = 0. What is p?
-1, 0, 1
Let s = -13 + 8. Let n = s + 11. Factor -h + 4*h**2 + 0*h + 5*h**4 - h**5 - h**4 - n*h**3.
-h*(h - 1)**4
Let z(a) be the first derivative of a**6/6 + 2*a**5/5 + 3. Factor z(x).
x**4*(x + 2)
Let o(l) be the second derivative of l**9/10800 + l**8/16800 - l**4/12 + 4*l. Let f(w) be the third derivative of o(w). Factor f(r).
r**3*(7*r + 2)/5
Suppose 7*v - 62 + 62 = 0. Factor 0 + v*u + 2/9*u**2.
2*u**2/9
Let x(n) be the first derivative of n**3/3 + 3*n**2 + 9*n + 6. Let x(t) = 0. Calculate t.
-3
Let o(f) be the third derivative of -f**6/1020 + f**5/255 - 3*f**2 + 5. Factor o(x).
-2*x**2*(x - 2)/17
Let o(y) be the first derivative of -y**4/66 - 2*y**3/33 - y**2/11 + 4*y + 4. Let k(q) be the first derivative of o(q). Factor k(p).
-2*(p + 1)**2/11
Find t, given that -2/13 + 4/13*t - 4/13*t**3 + 2/13*t**4 + 0*t**2 = 0.
-1, 1
Let f(g) be the first derivative of -22*g**5/25 - 9*g**4/10 + 4*g**3/15 + 7. Determine d so that f(d) = 0.
-1, 0, 2/11
Let b be (-4 + -3 + 4)*-1. Let p be b - ((0 - 0) + 1). Determine g so that 0 + 2/7*g + 2/7*g**p = 0.
-1, 0
Let c be 0 + 4/((-12)/(-9)). Let t be 3 - (11/c + -1). Factor -t*r**4 + 0*r**3 + 0 - 2/3*r + r**2.
-r*(r - 1)**2*(r + 2)/3
Let i(w) = -w**3 + w + 1. Let m(c) = -c**4 + 6*c**3 - c**2 - 4*c - 4. Let a(h) = 4*i(h) + m(h). Factor a(r).
-r**2*(r - 1)**2
Let d(z) = -7*z**3 - z**2 + z + 1. Let a(r) = 6*r**3 + 2*r**2 - 2*r - 2. Let i(c) = 3*a(c) + 2*d(c). Factor i(l).
4*(l - 1)*(l + 1)**2
Determine c, given that 0 + 0*c + 3/7*c**4 + 0*c**2 - 3/7*c**3 = 0.
0, 1
Suppose v = 4*v - 9. Suppose 3 = -v*l + 4*l. Solve 0*m**2 + 4/7 + 6/7*m - 2/7*m**l = 0 for m.
-1, 2
Let r(m) be the third derivative of m**7/840 - m**6/360 + m**3/2 + 2*m**2. Let a(i) be the first derivative of r(i). Factor a(k).
k**2*(k - 1)
Let z(x) = -11*x + 101. Let d be z(9). Find v, given that 9/2*v**4 + 4*v + 11*v**d + 1/2 + 12*v**3 = 0.
-1, -1/3
Let l(q) = q**2 - 2*q + 2. Let h be l(0). Suppose 2*r + 4 = 4*r. Let -r - 3*d - d + 4*d**2 - 6*d**h = 0. Calculate d.
-1
Suppose -4*r + 11 = -b, -3*r - 4*b - 1 = 5. Let g(w) be the first derivative of -4 + 0*w + 1/11*w**4 + 2/33*w**3 - 1/11*w**r. Factor g(t).
2*t*(t + 1)*(2*t - 1)/11
Let c(j) be the second derivative of j**8/840 + j**7/140 + j**6/60 + j**5/60 + 5*j**3/6 + j. Let x(u) be the second derivative of c(u). Solve x(s) = 0 for s.
-1, 0
Suppose 4*z + 22 = -2*b + 5*b, -5*b + z + 14 = 0. Suppose -4*r + 10 = b*w, -5*w = -r + 3*r + 7. Suppose 4*x**3 + 0*x**3 - 6*x**3 + x**2 + x**r = 0. What is x?
0, 1
Factor 0 - 2/3*z**2 + 2/3*z**4 - 2/3*z + 2/3*z**3.
2*z*(z - 1)*(z + 1)**2/3
Let u = -25 - -40. Suppose -5*s = -0*s - u. Factor -t - 5/2*t**s - 7/2*t**2 + 0.
-t*(t + 1)*(5*t + 2)/2
Let n(c) = -c**3 + 2*c**2 + 2. Let v be n(2). What is x in -7*x**3 + 8 + 9*x - 6*x**v - 3*x**4 - x**3 + x**4 - x = 0?
-2, -1, 1
Let x(n) be the third derivative of -1/330*n**5 + 0*n + 9*n**2 - 4/33*n**3 - 1/33*n**4 + 0. Factor x(b).
-2*(b + 2)**2/11
Let n(d) = 28*d**3 + 7*d**2 - 16*d - 1. Let p(l) = -167*l**3 - 43*l**2 + 95*l + 5. Let g(m) = -34*n(m) - 6*p(m). Find q, given that g(q) = 0.
-1, 1/5, 2/5
Let g = -16754/35 + 2417/5. Let -g*m**3 + 0*m + 0 - 18/7*m**2 - 9/7*m**4 = 0. Calculate m.
-3, -2/3, 0
Let p(f) = -f**2 - 8*f + 2. Let b be p(0). Find m such that 2/3*m**3 - 2/3*m - m**4 + 0 + m**b = 0.
-1, 0, 2/3, 1
Let n(t) = t**2. Let v(h) = 3*h**3 - 8*h**2 + 23*h - 6. Let m(j) = 24*n(j) - 3*v(j). Solve m(q) = 0.
1/3, 2, 3
Let w(y) be the second derivative of 0*y**3 - 1/72*y**4 - 1/120*y**5 + 2*y + 0 + 0*y**2. Factor w(f).
-f**2*(f + 1)/6
Let d be 34/9 - 4/(-18). Let i be ((-9)/6)/(d/(-8)). Factor 0*m**i + 2/3 + 2/3*m**4 - 4/3*m**2 + 0*m.
2*(m - 1)**2*(m + 1)**2/3
Let z(c) be the first derivative of -1 - c**2 - 24/5*c**5 + 25/2*c**4 + 2*c - 26/3*c**3. What is q in z(q) = 0?
-1/4, 1/3, 1
Let b(q) = q**3 - 7*q**2 - 8*q. Let u be b(8). Let i be u/(-2) - 2/(-4). Determine o so that i*o - 1/4*o**2 + 0 - 3/4*o**3 = 0.
-1, 0, 2/3
Let f(m) be the third derivative of 0*m**4 + 0 + 0*m**3 + m**2 - 1/210*m**5 + 0*m. Determine p, given that f(p) = 0.
0
Let o(p) be the first derivative of -4*p + 4/3*p**3 + 11 + 2*p**2 - p**4. Suppose o(n) = 0. Calculate n.
-1, 1
Suppose 24*x = 27*x - 15. Factor 8 + 135/2*a**4 + 48*a + 112*a**2 + 27/2*a**x + 126*a**3.
(a + 1)*(a + 2)*(3*a + 2)**3/2
Suppose 5*g + 30 = -5*t, 0*t = t - g - 4. Let m be (-1)/t + 27/(-36). Suppose m*u + 0 + 1/4*u**3 - 1/2*u**2 = 0. What is u?
0, 1
Let t be -1 + 5 + -2*1. Let q be 3/(-7) - 6/(-14). Find z such that 4/3*z**t - 2/3*z**3 - 2/3*z + q = 0.
0, 1
Solve 10*l + 4*l**3 + 8*l**2 + 4 + 15*l**3 - 24*l**3 + 7*l**3 = 0 for l.
-2, -1
Let k(a) be the first derivative of -a**4/10 + 4*a**3/15 - a**2/5 - 8. Solve k(d) = 0.
0, 1
Let j(c) = -6*c - 14. Let x be j(-3). Suppose 2/5 - 8/5*k + 2/5*k**x - 8/5*k**3 + 12/5*k**2 = 0. What is k?
1
Let s = 18 - 19. Let y be (44/42 + s)*6. Factor 4/7*j**2 - 2/7*j + y*j**3 - 4/7.
2*(j - 1)*(j + 1)*(j + 2)/7
Let m(a) = a**2 + 25*a - 14. Let g(v) = 15*v**2 + 350*v - 195. Let i(y) = 6*g(y) - 85*m(y). Let i(d) = 0. Calculate d.
1, 4
Let g(f) = -f**3 + 8*f**2 - 6*f + 1. Let x be g(7). Let b be 45/140 + 2/x. Factor -6/7*d + 2/7*d**3 + 0*d**2 + b.
2*(d - 1)**2*(d + 2)/7
Suppose 6*z = z + 135. Let -l**4 + 14*l**2 - 8*l**5 - 20*l**3 + z*l**4 + l - 3*l - 10*l**3 = 0. Calculate l.
0, 1/4, 1
What is r in 2/9*r**2 + 2/3*r + 4/9 = 0?
-2, -1
Suppose 0 = -x - 1, x - 5 = -b + 3. Let q be 6/b - (0 - 0). Solve -2*g**4 + 4/3*g**2 - 2*g + 2/3*g**5 + q + 4/3*g**3 = 0 for g.
-1, 1
Find r,