?
-1, 0, 1, 2
Suppose 2*y = 3*o - 12 - 0, 0 = 5*y. Let i(p) = p**2 - p + 1. Let l be i(2). Factor -2*h + 0*h**o + 0*h**3 + 1 - h**4 + 2*h**l.
-(h - 1)**3*(h + 1)
Factor -2/19*m**4 - 2/19*m**3 + 0 + 0*m + 2/19*m**2 + 2/19*m**5.
2*m**2*(m - 1)**2*(m + 1)/19
Factor 9/8*b**3 + 3/4*b**2 + 1/8*b + 0 + 1/2*b**4.
b*(b + 1)**2*(4*b + 1)/8
Let j(v) = v**2 + 4*v - 9. Let p be j(-6). Let h(c) be the first derivative of 1 - 4/27*c**p - 1/9*c**2 + 0*c - 1/18*c**4. Factor h(f).
-2*f*(f + 1)**2/9
Suppose -3*y - 6 = -0*y + r, 0 = -2*y - 2*r. Let b = 1 - y. Determine x, given that 9/2*x**2 - 7/2*x**b + 5/2*x - 5/2*x**3 - 1 = 0.
-1, 2/7, 1
Let l(s) = 30*s**4 + 102*s**3 + 106*s**2 + 16*s - 16. Let f(c) = c**4 - c**3 - c**2. Let w(g) = -2*f(g) + l(g). Factor w(d).
4*(d + 1)**2*(d + 2)*(7*d - 2)
Let v(w) = 5*w**2 + 25*w + 18. Let d(p) = 1. Let m(j) = -2*d(j) - v(j). Factor m(n).
-5*(n + 1)*(n + 4)
Let s = 2 - -1. Factor j**4 - j**2 + 0*j**4 - j - 3*j**3 + 4*j**s.
j*(j - 1)*(j + 1)**2
Let u(k) be the third derivative of k**8/23520 - k**7/8820 - k**6/2520 + k**5/420 - 5*k**4/24 - 3*k**2. Let w(i) be the second derivative of u(i). Factor w(n).
2*(n - 1)**2*(n + 1)/7
Let p(z) = -z**2 + 1. Let j(w) = -5*w**2 + 3. Let a(q) = j(q) - 3*p(q). Factor a(l).
-2*l**2
Suppose -2*p + 4 - 6 = 2*r, -3*p + 3 = r. Let t = 6 + r. Factor 1/2*a**2 - 1/2*a**4 + 1/2*a**t + 0 + 0*a - 1/2*a**5.
-a**2*(a - 1)*(a + 1)**2/2
Let k(s) be the third derivative of s**6/1080 + 11*s**2. Find o, given that k(o) = 0.
0
Suppose 2*z - 4*x = -x - 9, x + 7 = 4*z. Suppose 4/5*h**z + 6/5*h - 1/5 - 9/5*h**2 = 0. What is h?
1/4, 1
Suppose -3*j + 0*u = 3*u - 3, -3*j + 21 = -3*u. Solve -j*b**2 + 3*b**2 - 2*b + 4*b + 2*b**2 + 1 = 0 for b.
-1
Let z be (24/(-180))/((-2)/12). Factor 2/5*f**3 + 0*f - z*f**2 + 0.
2*f**2*(f - 2)/5
Let s = -22 + 27. Factor 3*q + q**2 - s*q**2 - 5*q + 0*q**2.
-2*q*(2*q + 1)
Suppose -2*k + 7 = -11. Let b be (16/(-60))/((-6)/k). Factor -4/5*t - b - 2/5*t**2.
-2*(t + 1)**2/5
Determine s, given that 0*s + 0 - 4/9*s**4 - 2/9*s**3 + 4/9*s**2 + 2/9*s**5 = 0.
-1, 0, 1, 2
Let d(c) be the first derivative of c**8/1008 - c**7/630 - c**6/120 + c**5/180 + c**4/36 - 3*c**2 - 1. Let t(m) be the second derivative of d(m). Factor t(q).
q*(q - 2)*(q - 1)*(q + 1)**2/3
What is g in -1/4*g + 0 + 1/4*g**2 = 0?
0, 1
Let g(m) be the second derivative of -5*m + 0*m**4 + 1/135*m**6 + 0 + 0*m**3 - 1/90*m**5 + 0*m**2. Determine x, given that g(x) = 0.
0, 1
Let k be (6/(-7))/(-3 - 30/(-20)). Determine j, given that k - 2/7*j**2 + 2/7*j = 0.
-1, 2
Let i be ((-2)/(-3))/((-2)/(-21)). Suppose 5 = 4*v - i. What is j in 0*j - 2/7*j**5 + 0 + 2/7*j**v - 2/7*j**2 + 2/7*j**4 = 0?
-1, 0, 1
Let m(y) = y**3 + 6*y**2 + 3. Let p be m(0). Solve 0 + 0*f - 1/5*f**p + 1/5*f**2 + 1/5*f**5 - 1/5*f**4 = 0.
-1, 0, 1
Let c(q) be the first derivative of q**4/14 - 2*q**3/21 + 2. Factor c(g).
2*g**2*(g - 1)/7
Suppose 0 = -2*w - 2*w + 16. Let 2*u**5 + 4*u**5 + 0*u**2 - 3*u**3 + 3*u**w - 3*u**2 - 3*u**5 = 0. Calculate u.
-1, 0, 1
What is m in -10*m - 5 - 25/4*m**2 - 5/4*m**3 = 0?
-2, -1
Find g, given that 0 - 2/11*g**3 + 2/11*g**2 + 2/11*g**5 + 0*g - 2/11*g**4 = 0.
-1, 0, 1
Let a(s) be the second derivative of s**7/11340 + s**6/1620 + s**5/540 - s**4/12 - 2*s. Let i(k) be the third derivative of a(k). Solve i(d) = 0.
-1
Let n(x) = 0 - 1 - x + 7. Let v be n(4). Factor -3/5*s**v + 3/5*s - 1/5 + 1/5*s**3.
(s - 1)**3/5
Let a = -33 - -37. Let j be 1/(8*a/24). Factor 3/4*h**3 - j*h**2 + 1/4*h - 1/4*h**4 + 0.
-h*(h - 1)**3/4
Let b(g) be the second derivative of g**6/210 - 3*g**5/140 + g**4/28 - g**3/42 + 11*g. Determine s so that b(s) = 0.
0, 1
Suppose 8*s - 6*s - 4 = 0. Factor 4*r**3 - 2*r**3 + r**3 + r**s - 2*r**3.
r**2*(r + 1)
Let b = 4 - 2. Suppose -b*d - 6 = -4*d. Let -o**2 - 4*o**2 - o**5 + 7*o**2 + d*o**3 = 0. What is o?
-1, 0, 2
Let a(n) be the third derivative of n**6/360 - n**5/60 - n**4/8 + n**3/6 + 4*n**2. Let t(m) be the first derivative of a(m). Factor t(k).
(k - 3)*(k + 1)
Let y be (96/(-15))/((-3)/15). Let k = y + -286/9. Factor 4/9*c - k*c**2 + 0.
-2*c*(c - 2)/9
Let l be 34/(-90) + (-58)/(-145). Let g(v) be the second derivative of 0*v**2 + 1/18*v**4 + l*v**6 + 1/15*v**5 + 0 - 2*v + 0*v**3. Determine a so that g(a) = 0.
-1, 0
Let x = 5 + -1. Find c, given that -2*c**5 + 85*c - 2*c**3 - 85*c - x*c**4 = 0.
-1, 0
Factor -2/3*z + 1/3*z**2 - 1/3*z**4 + 0 + 2/3*z**3.
-z*(z - 2)*(z - 1)*(z + 1)/3
Let r(l) be the third derivative of -l**7/350 + 3*l**5/100 - l**4/20 - 2*l**2. What is n in r(n) = 0?
-2, 0, 1
Let j(n) be the first derivative of -5*n**4/4 - 10*n**3/3 - 5*n**2/2 - 21. Find r such that j(r) = 0.
-1, 0
Suppose 0 = -3*j + 9 + 30. Let d be 2*(-1 + j/8). Solve 1/4 + d*s + s**2 = 0.
-1, -1/4
Suppose 4 + 5*d + d + 3*d**2 - 1 + 0*d**2 = 0. Calculate d.
-1
Let g = 13234/8265 + -2/1653. Factor g*o**3 + 2/5 - 8/5*o - 2/5*o**2.
2*(o - 1)*(o + 1)*(4*o - 1)/5
Let q(j) = j + 9. Let h be q(-9). Determine z, given that h*z + 2/9 - 2/9*z**2 = 0.
-1, 1
Let l be (-70)/50 + (-1 - 1). Let v = 56/15 + l. Factor v*j + 1/3*j**2 - 1/3*j**3 - 1/3.
-(j - 1)**2*(j + 1)/3
Let w(p) = -6*p**2 - 9*p. Suppose -3 - 3 = c. Let b(h) = -5*h**2 - 8*h. Let u(o) = c*w(o) + 7*b(o). Factor u(q).
q*(q - 2)
Let z(y) be the second derivative of -y**9/3780 + y**8/672 - 17*y**7/10080 + y**6/1440 + y**4/6 - 3*y. Let g(f) be the third derivative of z(f). Factor g(q).
-q*(q - 2)*(4*q - 1)**2/4
Let a(u) be the second derivative of 0*u**3 + 0 + 0*u**2 - 1/14*u**6 - 1/14*u**4 + 3/20*u**5 - 6*u. Factor a(c).
-3*c**2*(c - 1)*(5*c - 2)/7
Let w = 86/7 - 12. Find l, given that -2/7*l + w*l**2 - 4/7 = 0.
-1, 2
Let i be (12/10)/(294/280). Factor i*f**2 - 4/7 + 4/7*f.
4*(f + 1)*(2*f - 1)/7
Let q be (24/14)/6*28/10. Let -2/5*z**2 + q*z - 2/5 = 0. Calculate z.
1
Let r(f) be the second derivative of 3*f**5/100 - 3*f**4/20 + f**3/5 - 28*f + 1. Factor r(b).
3*b*(b - 2)*(b - 1)/5
Suppose -5*c = -6*c + 3. Factor -c + u**2 + 3 - u**3 - 3*u**4 + 2*u**4 + u**5.
u**2*(u - 1)**2*(u + 1)
Let m(i) be the third derivative of 6*i**2 + 0 - 1/15*i**5 + 0*i - 1/6*i**3 + 1/6*i**4. Suppose m(z) = 0. Calculate z.
1/2
Let b(r) be the second derivative of -r**4/42 + 13*r. Factor b(f).
-2*f**2/7
Factor -1/4*m + 1/4*m**4 + 0 + 1/4*m**3 - 1/4*m**2.
m*(m - 1)*(m + 1)**2/4
Let h(u) = 40*u + 164. Let x be h(-4). Factor -1/4*v**x + 1/4*v + 1/4*v**2 - 1/4*v**3 + 0.
-v*(v - 1)*(v + 1)**2/4
Let b = 45/26 + -3/13. Factor -3/4*g**4 + 0*g**2 - b*g + 3/4 + 3/2*g**3.
-3*(g - 1)**3*(g + 1)/4
Let i = 17 + -16. Suppose -4*h + 7 = -i. Factor -7/2*d**3 + 0 - 1/2*d - 5/2*d**h - 3/2*d**4.
-d*(d + 1)**2*(3*d + 1)/2
Let s(z) be the second derivative of 0*z**3 + z + 0*z**6 + 1/84*z**7 - 1/40*z**5 + 0*z**2 + 0 + 0*z**4. Factor s(i).
i**3*(i - 1)*(i + 1)/2
Let j(s) be the first derivative of -s**5/2 + 17*s**4/8 - 7*s**3/2 + 11*s**2/4 - s - 4. Suppose j(z) = 0. What is z?
2/5, 1
Let k(o) be the second derivative of 0 + 3*o - 5/18*o**4 - 1/10*o**5 - 1/9*o**3 + 1/3*o**2. Factor k(g).
-2*(g + 1)**2*(3*g - 1)/3
Let m(n) be the third derivative of -n**6/2520 + n**5/280 - 5*n**3/6 + 2*n**2. Let l(t) be the first derivative of m(t). Let l(r) = 0. What is r?
0, 3
Let x(h) be the first derivative of -75/4*h**4 + 12*h + 5*h**3 - 4 + 24*h**2. Determine r so that x(r) = 0.
-2/5, 1
Let s(j) be the first derivative of -j**4/4 + 4*j**3/3 - 5*j**2/2 + 2*j + 13. What is b in s(b) = 0?
1, 2
Let w = -128 + 133. Suppose 0 = g - 5*s - 8, -4*s - 5 - 8 = -3*g. Factor 0 + 0*u**2 + 0*u + 1/4*u**4 + 0*u**g - 1/4*u**w.
-u**4*(u - 1)/4
Determine s so that 0 + 4/9*s + 2/9*s**4 - 4/9*s**3 - 2/9*s**2 = 0.
-1, 0, 1, 2
Let b(q) be the first derivative of 0*q + 1/24*q**4 - 1/3*q**3 - 3/2*q**2 + 1 + 1/60*q**5. Let f(a) be the second derivative of b(a). Factor f(s).
(s - 1)*(s + 2)
Let g(b) be the second derivative of -b**7/126 + b**6/15 - 7*b**5/30 + 4*b**4/9 - b**3/2 + b**2/3 + 10*b. Find x such that g(x) = 0.
1, 2
Let c(j) be the second derivative of j**8/23520 - j**7/8820 + 2*j**4/3 + 9*j. Let t(n) be the third derivative of c(n). Factor t(z).
2*z**2*(z - 1)/7
Let v(b) = -b**3 + 2*b**2 + 5*b - 2. Let t be v(3). Let p be (t/21)/(72/84). Determine q, given that 0 + p*q - 8/9*q**5 + 22/9*q**4 + 2/9*q**2 - 2*q**3 = 0.
-1/4, 0, 1
Let c be (-2)/(-3)*(-388)/(-8). Let x = c - 