uppose -m = -2*m + 2. Suppose 0*t + 2/3 - 2/3*t**m = 0. What is t?
-1, 1
Factor 4*x**2 - 3*x**3 + 0*x**2 + 3*x**4 - 7*x**2 + 3*x**5.
3*x**2*(x - 1)*(x + 1)**2
Solve 0 + 9/2*c**2 - 3*c - 3/2*c**3 = 0.
0, 1, 2
Suppose 3/5*o**3 - 6/5*o**2 - 3*o + 18/5 = 0. What is o?
-2, 1, 3
Let d(c) be the second derivative of -1/5*c**6 + 0*c**2 + 0*c**3 + 0 - c + 0*c**4 + 3/20*c**5 + 1/14*c**7. Factor d(i).
3*i**3*(i - 1)**2
Factor 4 + s**3 + 0 - 4 - s.
s*(s - 1)*(s + 1)
Let h(t) be the third derivative of 0*t + 2/15*t**3 - 1/75*t**6 - 2*t**2 - 11/150*t**5 + 0 - 1/12*t**4. Factor h(m).
-2*(m + 1)*(m + 2)*(4*m - 1)/5
Let d = 1/10 - -1/10. Let s(l) be the second derivative of d*l**5 + 0*l**6 + l + 0*l**4 + 0*l**2 - 1/21*l**7 + 0 - 1/3*l**3. Factor s(i).
-2*i*(i - 1)**2*(i + 1)**2
Let i be 3/2*(-1 - (5 + -8)). Suppose -1/3 + a + 1/3*a**i - a**2 = 0. What is a?
1
Let s(f) be the third derivative of -4*f**5/195 + 3*f**4/52 - f**3/39 + 5*f**2. Factor s(v).
-2*(v - 1)*(8*v - 1)/13
Determine u so that 8/7*u + 8/7*u**2 + 18/7*u**5 - 12/7*u**4 - 22/7*u**3 + 0 = 0.
-2/3, 0, 1
Let x(r) be the third derivative of -1/27*r**3 + 1/270*r**5 + 0*r**4 + 2*r**2 + 0 + 0*r. Factor x(u).
2*(u - 1)*(u + 1)/9
Let v = -33 + 37. Let t(u) be the second derivative of v*u + 0*u**4 + 0*u**2 + 0 - 1/30*u**6 + 0*u**3 - 1/20*u**5. Determine c so that t(c) = 0.
-1, 0
Let z(v) be the first derivative of 2*v**3/9 + v**2 - 2. Factor z(h).
2*h*(h + 3)/3
Let m be 6/10 - 7/(-5). Let h(u) be the second derivative of 1/15*u**6 + 2*u + 0 - 1/6*u**4 + 0*u**m + 1/3*u**3 - 1/10*u**5. Determine c so that h(c) = 0.
-1, 0, 1
Factor -3*i + 6*i**4 + 0*i**5 - 583*i**2 + 3*i**5 + 577*i**2.
3*i*(i - 1)*(i + 1)**3
Let x be (-2 + -18*1)*(-8)/32. Find b, given that 0*b + 8/5 - 14/5*b**2 - 2/5*b**x + 2/5*b**3 + 6/5*b**4 = 0.
-1, 1, 2
Factor -3*t**3 + 11*t**2 - 8*t**3 - 10*t**3 - 12*t - 59*t**2.
-3*t*(t + 2)*(7*t + 2)
Let j(y) be the third derivative of -y**6/360 - y**5/60 - y**4/24 - y**3/18 - 33*y**2. Solve j(g) = 0 for g.
-1
Suppose -2*g + 16 = -3*g. Let z be g/(-10) + (-2)/(-5). Factor 0 + 1/4*a**3 - 1/4*a**5 + 0*a + 1/4*a**4 - 1/4*a**z.
-a**2*(a - 1)**2*(a + 1)/4
Let g = -7 + 13. Let d = -6 + g. Factor d + 2/3*t**2 - 1/3*t**3 - 1/3*t.
-t*(t - 1)**2/3
Suppose -4*r = 3*w - 5, 0 = -0*r + r + w. Suppose -2*k = -r*k. Factor k + 1/5*i + 1/5*i**2.
i*(i + 1)/5
Let j be ((-18)/(-7))/(3/126). Factor -30*s**2 - 6*s + j*s**3 - 141*s**3 + 69*s**2.
-3*s*(s - 1)*(11*s - 2)
Let i(n) be the second derivative of -1/6*n**3 + 1/60*n**6 - 1/4*n**2 + 1/20*n**5 + 0*n**4 - 2*n + 0. Determine s so that i(s) = 0.
-1, 1
Suppose -4 + 14 = 5*u - 3*p, -5*p - 4 = -2*u. Factor 4*m**u - 3*m**2 - 4*m**2.
-3*m**2
Let x = -6116/7 - -875. Factor -12/7*a - 2/7*a**2 + x + 4/7*a**3 + 1/7*a**4.
(a - 1)**2*(a + 3)**2/7
Let s(l) = 10*l**2 - 8*l - 2. Let q(b) = -b**2 + b. Suppose z - 3*d + 4*d = 2, 0 = -2*z + 3*d - 1. Let m(t) = z*s(t) + 8*q(t). Factor m(h).
2*(h - 1)*(h + 1)
Factor 0 - 2/13*h**3 - 12/13*h - 10/13*h**2.
-2*h*(h + 2)*(h + 3)/13
Solve 2*c**2 - 143 + 9*c + 143 + c**2 = 0 for c.
-3, 0
Let s = 13 + -38/3. Factor -2/3*y**3 - 1/3*y**4 + 2/3*y**2 + s*y**5 + 1/3*y - 1/3.
(y - 1)**3*(y + 1)**2/3
Let o be 0 + 1 - (-6 - -3)/(-9). Factor 0*p**2 + o*p - 2/3*p**3 + 1/3 - 1/3*p**4.
-(p - 1)*(p + 1)**3/3
Determine q so that 0*q + 1/3 - 1/3*q**2 = 0.
-1, 1
Let s = -9 + 11. Suppose -4*f - 3*c = -5*c + 2, -5*f + 2 = s*c. Factor 2/7*h**5 + 6/7*h**3 - 6/7*h**4 + 0 + f*h - 2/7*h**2.
2*h**2*(h - 1)**3/7
Let f(b) be the second derivative of 7*b**7/18 - 7*b**6/9 - 13*b**5/15 - 2*b**4/9 - 5*b. Factor f(u).
u**2*(u - 2)*(7*u + 2)**2/3
Suppose -21 - 3 = 2*c. Let w be (c/14)/(15/(-21)). Factor 0 + w*g**2 - 2/5*g**3 - 4/5*g.
-2*g*(g - 2)*(g - 1)/5
Let l(y) = y**2 - 1. Let z(i) = 9*i**2 - 4*i - 4. Let r(v) = -24*l(v) + 3*z(v). Find s, given that r(s) = 0.
2
Let q(m) be the third derivative of m**7/210 + m**6/60 + m**5/60 + 8*m**2. Factor q(f).
f**2*(f + 1)**2
Let i = 81 + -79. Suppose 5*j + 2*q - 3 = 2, -5 = -5*j - q. What is v in -1/2*v**i - 3/2*v - j = 0?
-2, -1
Let x(w) be the third derivative of -w**6/720 + w**4/48 - 4*w**3/3 + 8*w**2. Let v(n) be the first derivative of x(n). Factor v(s).
-(s - 1)*(s + 1)/2
Let s(c) = 52*c**4 - 148*c**3 + 40*c**2 + 40*c + 8. Let o(t) = 35*t**4 - 99*t**3 + 27*t**2 + 27*t + 5. Let x(j) = -8*o(j) + 5*s(j). What is u in x(u) = 0?
-2/5, 0, 1, 2
Let u(c) be the first derivative of -c**6/15 + 26*c**5/75 + c**4/30 - 22*c**3/15 - 6*c**2/5 + 27. Suppose u(x) = 0. What is x?
-1, -2/3, 0, 3
Let m(s) = 4*s - 1. Let x be m(1). Let l(n) be the first derivative of 10/9*n**5 + 10/9*n**4 + 0*n**2 - 1 + 8/27*n**x + 0*n. Factor l(a).
2*a**2*(5*a + 2)**2/9
Let m(l) = -l - 6. Suppose -d - b - 3 = 0, 0 = 3*d - 0*d + 2*b + 12. Let x be m(d). Solve -2/7*u**2 + 2/7*u + x = 0.
0, 1
Let u be (3/2)/((-3)/(-6)). Solve -8*q + 3*q**2 + 1 - 4*q + q + q**u + 14*q = 0 for q.
-1
Let p(x) = 3*x**2 + 3*x - 3. Let y be p(-2). Suppose -d + d**2 - 1/3*d**y + 1/3 = 0. Calculate d.
1
Let t = -3/4 - -11/12. Let g = 1/6 + t. Determine b, given that 2/3*b**2 - 1/3*b - 1/3*b**5 + 2/3*b**3 - 1/3 - g*b**4 = 0.
-1, 1
Solve 8/11*a - 2/11*a**2 + 0 = 0.
0, 4
Let b be 7 + -10 - (-10)/2. Let h(q) be the first derivative of -14/3*q**3 + 23/4*q**4 + 5/6*q**6 - 2 - 8*q + 22/5*q**5 - 14*q**b. Let h(c) = 0. What is c?
-2, -1, -2/5, 1
Let g be (-2 + 11)*(-3)/(-9). Find m, given that -1/2*m**g - 1 + 0*m**2 + 3/2*m = 0.
-2, 1
Suppose z = 1 + 1. Determine d, given that -2*d**2 + z*d**2 - d + 2*d**3 + d**2 + 0*d = 0.
-1, 0, 1/2
Solve -2/9*d**2 - 2/9*d**3 + 2/9 + 2/9*d = 0.
-1, 1
Suppose 8 = -11*b + 13*b. Let t(m) be the first derivative of -2 - 2/15*m**5 + 1/3*m**3 - 1/6*m**2 + 1/12*m**b - 1/3*m. Determine j, given that t(j) = 0.
-1, -1/2, 1
Let x be 3/(-9) + 6/(-9). Let q be ((-2)/(2/2))/x. Factor 1/2 + 0*h - 1/2*h**q.
-(h - 1)*(h + 1)/2
Suppose -5*i + 49 = -6. Let c = i + -11. Factor c*v - 2/3*v**2 + 0.
-2*v**2/3
Factor 0*u**2 + 0 + 2/5*u**3 + 0*u**4 - 2/5*u**5 + 0*u.
-2*u**3*(u - 1)*(u + 1)/5
Factor 81/4*q**2 + 1 - 9*q.
(9*q - 2)**2/4
Let f(b) be the first derivative of 7*b**3/2 - 12*b**2 + 6*b + 2. Determine m so that f(m) = 0.
2/7, 2
Let z(u) be the first derivative of -u**6/36 - u**5/30 + u**4/12 + u**3/9 - u**2/12 - u/6 + 17. Factor z(j).
-(j - 1)**2*(j + 1)**3/6
Let j(q) be the second derivative of 0 - 1/12*q**4 - 2*q**2 - 2*q - 2/3*q**3. Factor j(i).
-(i + 2)**2
Let w be (-2)/(-8)*36/27. Let h(t) be the first derivative of 1/12*t**4 + 1/9*t**3 + 3 - w*t - 1/6*t**2. Factor h(i).
(i - 1)*(i + 1)**2/3
Suppose 4 + 6 = 5*t. Factor -2/3*d**5 + 0 - 4/3*d**4 - 2/3*d**3 + 0*d + 0*d**t.
-2*d**3*(d + 1)**2/3
Factor -10/3*g**2 + 0*g - 5*g**4 + 1/3 + 20/3*g**3 + 4/3*g**5.
(g - 1)**4*(4*g + 1)/3
Let s(m) be the first derivative of m**4/4 + 3*m**3/2 + 3*m**2 - 5*m - 5. Let i(t) be the first derivative of s(t). Find c, given that i(c) = 0.
-2, -1
Let b(a) be the first derivative of 10*a**6/3 - 9*a**5 + 5*a**4/2 + 40*a**3/3 - 15*a**2 + 5*a - 14. Find t, given that b(t) = 0.
-1, 1/4, 1
Let z(d) = -4*d - 7. Let b be z(-3). Let x(a) be the second derivative of 1/15*a**6 + 2*a**2 - 1/10*a**b + 1/3*a**3 - 1/2*a**4 - a + 0. Factor x(i).
2*(i - 2)*(i - 1)*(i + 1)**2
Factor -2 + 17/3*v - 5*v**2 + 1/3*v**4 + v**3.
(v - 1)**3*(v + 6)/3
Let i be 2/(0 + -2)*-1. Suppose -2*l + 5 = -i. Factor 0*h**2 - 1/5*h**4 + 0 + 0*h + 1/5*h**l.
-h**3*(h - 1)/5
Let g = 2 - 0. Suppose -16 - g = -3*q. Find n such that 2*n - n**4 + 12*n**3 + q*n**3 - 12*n**2 - 7*n**4 = 0.
0, 1/4, 1
Let f(o) be the second derivative of -1/4*o**4 + 1/2*o**2 + 1/10*o**5 + 0 + 0*o**3 - o. Solve f(k) = 0 for k.
-1/2, 1
Suppose -55 = -0*d + 5*d. Let z = -9 - d. Factor -1/2 + 0*w + 1/2*w**z.
(w - 1)*(w + 1)/2
Factor 5 + 23*g**2 + 3 - 24*g**2 + 2*g.
-(g - 4)*(g + 2)
Suppose 14*j - 11*j = 6. Let x be 0/2*(-1 + 0). What is a in 0*a - 2/7*a**5 + 2/7*a**4 + 0*a**j + 0*a**3 + x = 0?
0, 1
Let r(q) be the second derivative of 1/30*q**3 + 0 - 1/12*q**4 + 0*q**2 - q. Find c such that r(c) = 0.
0, 1/5
Let n(k) be the first derivative of k**7/15 - 3*k**6/20 - 2*k**5/5 + k**4/3 - 7*k**2/2 - 9. Let z(c) be the second derivative of n(c). What is s in z(s) = 0?
-1, 0, 2/7, 2
Factor 2/3*m**2 + 2*m + 4/3.
2*(m + 1)*(m + 2)/3
Let k(d) be the second derivative of -d**6/240 