 -u*p - 2*n, -5*n - 25 = 2*p. Factor -3/4*s**2 + p + 3/4*s.
-3*s*(s - 1)/4
Let a = -1 + 1. Let q be -1*a*1/(-3). Find t such that -3 - 3*t**2 + q*t**2 - 4*t + t**2 + 1 = 0.
-1
Let i be (3/6)/(1/4). Suppose -i = -2*z + 2. Factor 2/7 - 2/7*m**z - 4/7*m + 4/7*m**3.
2*(m - 1)*(m + 1)*(2*m - 1)/7
Let o be ((-4)/(-10) - 38/95)/2. Let 0*z**3 + 1/3*z**4 + 1/6*z + o - 1/3*z**2 - 1/6*z**5 = 0. What is z?
-1, 0, 1
Suppose 9 = 4*o - 7. What is b in 5*b**3 + 6*b**3 - o*b**3 - 2*b**4 - 3*b**3 - 4*b + 2 = 0?
-1, 1
Factor 8/3*w**2 - 4/3*w**4 + 0 + 0*w + 4/3*w**3.
-4*w**2*(w - 2)*(w + 1)/3
Suppose -3*o - 5*z = 16, -o - 12 = z + 2*z. Let p(x) be the second derivative of -o*x + 5/6*x**3 + 0 + 1/2*x**2 + 1/3*x**4. Let p(h) = 0. What is h?
-1, -1/4
Let b be (-7)/(-147)*(1 + 11 + -3). Factor 3/7*w - 3/7*w**4 + 3/7*w**2 - b*w**3 + 0.
-3*w*(w - 1)*(w + 1)**2/7
Let u(t) be the second derivative of 9*t**5/100 - t**4/5 - 13*t**3/10 - 9*t**2/5 + 62*t. Find m, given that u(m) = 0.
-1, -2/3, 3
Let o(w) = w**4 + w**3 + w**2 - w. Let h(m) = -10*m**4 - 10*m**3 - 6*m**2 + 14*m + 2. Let q(c) = 2*h(c) + 18*o(c). Suppose q(v) = 0. What is v?
-1, 2
Let q = 9 - 3. Factor q*b - 3*b + 4*b**3 + 0*b**3 - 12*b**2 + 5*b.
4*b*(b - 2)*(b - 1)
Suppose -3*t - 2*t = -70. Let p(l) = l - 12. Let d be p(t). Factor -2/7 - 2/7*m**3 + 2/7*m + 2/7*m**d.
-2*(m - 1)**2*(m + 1)/7
Let l be 13 + -1 - (3 - 3). Let c = -7 + l. Factor c + 2*u**5 - 5.
2*u**5
Let n = 1 - -2. Let s(f) be the third derivative of -f**2 + 0*f**n + 0*f - 9/40*f**6 + 0 - 11/20*f**5 - 1/4*f**4. Suppose s(k) = 0. Calculate k.
-1, -2/9, 0
Let 2 + 0 + 10*b + 3*b**3 + 0*b**3 + 14*b**2 + 3*b**3 = 0. What is b?
-1, -1/3
Suppose 80 = x + 2*x - 4*l, -75 = -4*x - l. Suppose -2*t + 4*v + 20 = 0, 3*t = -3*v - v - x. Factor 1/2*n**2 + n**3 + t*n + 1/2*n**4 + 0.
n**2*(n + 1)**2/2
Let p = -9631/5 - -1933. Factor -8/5*i**5 - 56/5*i**3 + 2/5 + p*i**4 - 16/5*i + 44/5*i**2.
-2*(i - 1)**4*(4*i - 1)/5
Factor 12/5*v**3 - 6/5*v**2 - 36/5*v + 27/5 + 3/5*v**4.
3*(v - 1)**2*(v + 3)**2/5
Suppose 0 = -2*x + 3*b - 13, 4*x + 0*x - 5*b + 21 = 0. Suppose -d = -z + d + 2, -x = -5*z + d. Solve 1/4*a**4 - 1/4*a + 3/4*a**2 + z - 3/4*a**3 = 0 for a.
0, 1
Find m such that 5/4*m - 1/4*m**2 - 3/2 = 0.
2, 3
Let n be (4/(-6))/((-6)/27). Suppose -u + 0*t = n*t + 3, 4*t + 23 = 5*u. Factor 0*v**2 + 2*v - 2*v**3 + v**u + v**2.
-v*(v - 2)*(v + 1)
Let k(g) = -g**3 - 10*g**2 - 10*g - 6. Let r be k(-9). Factor -2*u - u**2 - u**3 + u + r*u.
-u*(u - 1)*(u + 2)
Let f(v) be the second derivative of -4*v + 1/36*v**4 + 0 - 1/9*v**3 + 1/6*v**2. Factor f(a).
(a - 1)**2/3
Suppose -4*w + 27 = k + 2*k, 3*w = 5*k - 16. Suppose -3*c**3 - 5*c**2 + k*c**2 + 6*c**3 - 3*c**2 = 0. What is c?
0, 1
Suppose -2*w + 3 = -3*a - 0, 4*w = -a + 13. Let v(c) be the first derivative of 1/6*c**4 + 2 + 0*c + 0*c**2 + 0*c**w. What is f in v(f) = 0?
0
Let o = 5 - 5. Determine i, given that 1/2*i + o + 1/4*i**2 = 0.
-2, 0
Let l(z) be the first derivative of -z**3 + 10. Factor l(a).
-3*a**2
Factor -8/3 + 0*j + 2/3*j**2.
2*(j - 2)*(j + 2)/3
Let y = -14 + 14. Let l(k) be the third derivative of 0 - 1/24*k**4 + y*k**5 + k**2 + 1/9*k**3 + 1/360*k**6 + 0*k. Determine v, given that l(v) = 0.
-2, 1
What is c in -2*c - 32*c**3 + 6*c**2 + 30*c**3 - 2*c**2 + 0*c = 0?
0, 1
Let g(h) be the first derivative of h**4/14 + 2*h**3/21 - 15. Factor g(u).
2*u**2*(u + 1)/7
Let k(c) = -8*c**2 - 4*c. Let l(t) = -t**4 + 24*t**2 + 11*t - 1. Let y be -2 - ((-6)/2 - 3). Let b(p) = y*l(p) + 11*k(p). Factor b(z).
-4*(z - 1)**2*(z + 1)**2
Factor 7*r**2 + 5*r**2 - 3*r - 6*r - 4*r**3.
-r*(2*r - 3)**2
Let u(b) be the first derivative of b**6/12 + 2*b**5/5 + b**4/2 - b**3/3 - 5*b**2/4 - b + 4. Let u(n) = 0. Calculate n.
-2, -1, 1
Let a be ((-3)/6)/((-3)/(-6)). Let z be 1*((-1 - -2) + a). Let -x**3 + 3*x**2 + z*x**3 - x**2 + 3*x**3 = 0. Calculate x.
-1, 0
Let -22*u + 14*u - 6 + 2*u**2 + 4*u = 0. Calculate u.
-1, 3
Let s(v) be the second derivative of -v**6/30 + 3*v**5/20 - v**4/4 + v**3/6 - 4*v. Find u such that s(u) = 0.
0, 1
Suppose 2*d - 3 = 3*d. Let g be d/(-2*(-3)/(-4)). Determine t so that 0 + 1/4*t + 1/4*t**3 + 1/2*t**g = 0.
-1, 0
Let m(x) be the second derivative of -x**7/30 + 3*x**6/50 - x**5/50 + 10*x. Let m(j) = 0. Calculate j.
0, 2/7, 1
Let x(q) be the first derivative of -3*q**4/2 - 10*q**3/3 + 2*q**2 + 24. Factor x(c).
-2*c*(c + 2)*(3*c - 1)
Suppose -3*d = -2*r - 7*d - 10, -7 = 3*r + 4*d. Let p = r + -1. Suppose -a**2 + p*a**2 - a + 0*a = 0. Calculate a.
0, 1
Let x(y) = -14*y**2 + 6. Let g be (4/6)/(2/6). Let h(k) = -2 + 0 + 9*k**g - 4*k**2. Let o(l) = -8*h(l) - 3*x(l). Factor o(z).
2*(z - 1)*(z + 1)
Let x(r) = -r**2 + r - 1. Let y(z) = 96*z**2 - 236*z + 140. Let q(c) = -4*x(c) + y(c). Solve q(v) = 0 for v.
6/5
Let v(y) = 8*y**2 - 2. Let b = -2 - -8. Let c(j) be the second derivative of j**4/12 - j. Let t(k) = b*c(k) - v(k). Factor t(u).
-2*(u - 1)*(u + 1)
Suppose -16 - 11 = 3*z. Let q = z + 9. Factor 1/4*p**2 + q*p - 1/4.
(p - 1)*(p + 1)/4
Let q(m) be the first derivative of m**6/18 - 2*m**5/15 + 2*m**3/9 - m**2/6 - 3. Suppose q(i) = 0. What is i?
-1, 0, 1
Suppose 0 = -7*s + 8*s. Factor s + 1/4*w**5 - 1/2*w**2 + 1/2*w**4 - 1/4*w + 0*w**3.
w*(w - 1)*(w + 1)**3/4
Let f(x) be the second derivative of -x**7/70 + 3*x**5/100 + 2*x. Let f(q) = 0. What is q?
-1, 0, 1
Let f = 429/2 + -214. Factor h + 0 + f*h**2.
h*(h + 2)/2
Let t = 4 - 2. Let f = 0 - -4. Factor -2*v**3 + 2*v**2 + 2*v - f*v**3 + 2*v**t.
-2*v*(v - 1)*(3*v + 1)
Let i(r) = -r**3 - 15*r**2 - 15*r - 12. Let m be i(-14). Determine o, given that 19*o - 40*o + 23*o + 4*o**2 + m*o**3 = 0.
-1, 0
Let a = 17 + -33/2. Suppose 0 - 1/2*m**2 + a*m**4 + 1/2*m**3 + 0*m - 1/2*m**5 = 0. What is m?
-1, 0, 1
Let o(r) = -r**2 - 4*r + 9. Let k be o(-5). Let m(z) be the first derivative of -1/10*z**5 - 1/2*z**2 - 9/16*z**k - z**3 + 1 + 0*z. Let m(l) = 0. Calculate l.
-2, -1/2, 0
Let b(w) be the third derivative of 1/315*w**7 - 5*w**2 + 1/1008*w**8 + 0*w**3 - 1/90*w**5 + 0*w**6 + 0*w + 0 - 1/72*w**4. Find a, given that b(a) = 0.
-1, 0, 1
Let o(k) be the first derivative of k**5/5 + 5*k**4/16 - k**3/4 - 5*k**2/8 - k/4 - 16. Factor o(l).
(l - 1)*(l + 1)**2*(4*l + 1)/4
Factor 28*r**3 - 69*r**2 - 8*r**4 - 16 + 52*r + 4*r**4 + 9*r**2.
-4*(r - 4)*(r - 1)**3
Let y = 1/809 + 2420/5663. Factor -3/7*x**3 + y*x - 6/7*x**2 + 6/7.
-3*(x - 1)*(x + 1)*(x + 2)/7
Let u be (4/(-2) - -2)*-1. Suppose u*i = -i. Factor -b**4 + b**2 + 2*b**3 - 3*b**3 + i*b**3 + b.
-b*(b - 1)*(b + 1)**2
Let r be (-49)/(-140) + 2/(-6). Let f(s) be the second derivative of 0*s**3 + 0 + r*s**5 - 1/36*s**4 + s + 0*s**2. Factor f(t).
t**2*(t - 1)/3
Let l(r) = 6*r + 15. Let y be l(-6). Let x be (-6)/(-21) + 6/y. Factor 2/5*s**2 + x + 2/5*s.
2*s*(s + 1)/5
Let s(h) = -11*h**3 + 3*h**2 + 8. Let u(b) = 4*b**3 - b**2 - 3. Suppose -5*x - 49 = -3*z, 9*x = 4*x + 4*z - 52. Let m(d) = x*u(d) - 3*s(d). Factor m(l).
l**2*(l - 1)
Let x be 18/(-32)*16/(-12)*4. Factor -3/4*p**x + 3/4 - 3/4*p**2 + 3/4*p.
-3*(p - 1)*(p + 1)**2/4
Let x(i) be the first derivative of i**6/36 - 2*i**5/15 + i**4/4 - 2*i**3/9 + i**2/12 + 8. Factor x(b).
b*(b - 1)**4/6
Let a(m) be the first derivative of 25*m**6/6 + 17*m**5 + 105*m**4/4 + 55*m**3/3 + 5*m**2 - 11. Factor a(p).
5*p*(p + 1)**3*(5*p + 2)
Factor -1/3*y**3 + 2/3 + y + 0*y**2.
-(y - 2)*(y + 1)**2/3
Suppose -v = 3*z - 15 + 5, -5*v + 4*z + 12 = 0. Let c**2 - 9*c**2 + 6*c**3 - c**4 - c**v + 2*c**3 = 0. Calculate c.
0, 2
Let t(j) = j + 1. Let f(x) = -x**2 - 5*x - 4. Let k(p) = f(p) + 2*t(p). Factor k(l).
-(l + 1)*(l + 2)
Let q(p) be the third derivative of -p**6/900 - 4*p**5/225 - 13*p**4/180 - 2*p**3/15 + 9*p**2. Solve q(u) = 0.
-6, -1
Let d(k) = 2*k**2 + 4*k + 2. Let s be d(-2). Find l such that l**4 - 3*l**2 + 2*l**s + 0*l**2 = 0.
-1, 0, 1
Suppose 0 = 2*n - 7*n + 50. Determine i, given that -3*i**2 - n*i + i + 3*i = 0.
-2, 0
Let w(x) = x**5 + 5*x**4 - 9*x**3 + 5*x**2 + 4*x - 6. Let n(i) = -2*i**5 - 11*i**4 + 19*i**3 - 10*i**2 - 9*i + 13. Let f(t) = 6*n(t) + 13*w(t). Factor f(y).
y*(y - 1)**3*(y + 2)
Determine w, given that -w - 2 - 2*w**2 + 7*w**2 - 4*w**2 = 0.
-1, 2
Let u = -13 + 14. Let c(x) = -2*x**2 - 20*x - 8. Let i(p) = p**2. Let k(r) = u*c(r) - 6*i(r). Factor k(g).
-4*(g + 2)*(2*g + 1)
Let f(w) be the first derivative 