Let h be ((-4)/3)/((-2)/27). Let y = h + -10. Suppose -y*b**5 - 3*b - 10*b**4 + 10*b**2 + 6*b**3 + 3*b + 2*b = 0. Calculate b.
-1, -1/4, 0, 1
Let y be -14*((-150)/(-35))/(-5). Suppose 7*x = y*x. Determine a, given that x*a**2 - 2/3 - a + 1/3*a**3 = 0.
-1, 2
Let m be 0/(3/(-1)) + 2. Solve -4 + 7*r**2 - r**2 + m - 2 - 2*r = 0 for r.
-2/3, 1
Let l = 32/45 + -1/9. Let u be 2/(-10) - (-7)/5. Determine c, given that 0 - u*c - l*c**2 = 0.
-2, 0
Let y = 274 + -5479/20. Let p(k) be the second derivative of 1/150*k**6 + y*k**4 - 1/30*k**3 - 3/100*k**5 + 0*k**2 + 0 - 2*k. Suppose p(x) = 0. What is x?
0, 1
Suppose -2*n - 4*o + 30 = 0, 2*n + 4*o - 2*o - 20 = 0. Suppose 2*u + 4*j + 12 = -0, n*u - j - 14 = 0. Factor b - 2*b + 2*b - 2*b**3 + 2 + b - u*b**2.
-2*(b - 1)*(b + 1)**2
Suppose 1/2*a**4 - 2*a**2 + 4/3*a + 21/2*a**5 + 0 - 31/3*a**3 = 0. Calculate a.
-2/3, 0, 2/7, 1
Find f such that 0*f + 2/7*f**2 - 2/7 = 0.
-1, 1
Let p(x) = -x**2 - 8*x + 1. Let t be p(-8). Let i be 2 + (-4 - -3) + t. Factor -7 + m**2 + 8 - i.
(m - 1)*(m + 1)
Determine u so that 21*u - 11*u - 15*u**4 - 4*u**5 - 4*u**5 - 5*u**3 + 3*u**5 + 15*u**2 = 0.
-2, -1, 0, 1
Let p be (68/51)/((-20)/(-6)). Factor 0*c**3 - 2/5*c**2 + p*c**4 + 0 + 0*c.
2*c**2*(c - 1)*(c + 1)/5
Let u be (-34)/12*(-22)/(-33) + 3. What is r in u*r**2 - 4/9*r + 2*r**3 - 14/9*r**5 + 0 - 10/9*r**4 = 0?
-1, 0, 2/7, 1
Let a = -1600317/209 + 7657. Let x = 42/209 + a. Find s, given that -6/11*s - x*s**3 + 6/11*s**2 + 2/11 = 0.
1
Let x(r) be the first derivative of r**4/14 + 4*r**3/21 + 13. Determine v so that x(v) = 0.
-2, 0
Suppose 4*y = -3*v + 2, -3 = 2*y + 3*v - 1. Let p be 6/(-33) + 68/11. Factor 3*u**y + 10*u**4 + p*u**3 - 7*u**2 - 2*u**4 + 14*u**5 + 16*u**4.
2*u**2*(u + 1)**2*(7*u - 2)
Let q be ((-9)/(-6))/(2*6). Let g(l) be the first derivative of q*l**4 + 0*l - 2 + 1/3*l**3 + 0*l**2. Factor g(s).
s**2*(s + 2)/2
Let v(c) be the second derivative of c**4/78 + c**3/13 + 2*c**2/13 + 6*c. Find q such that v(q) = 0.
-2, -1
Let s(f) be the second derivative of -f**4/18 + f**2/3 - 25*f. Factor s(z).
-2*(z - 1)*(z + 1)/3
Let h be ((-339)/360 - -1)*2. Let x(r) be the second derivative of 0*r**2 - 1/9*r**3 + 0 + 2*r - h*r**5 - 1/4*r**4. Factor x(t).
-t*(t + 1)*(7*t + 2)/3
Let s = -43 + 130/3. Factor 0 - s*y**2 - 1/3*y.
-y*(y + 1)/3
Let o(m) be the third derivative of m**5/15 - 14*m**4/3 + 392*m**3/3 - 8*m**2. Factor o(q).
4*(q - 14)**2
Let r(k) be the second derivative of k**9/15120 + k**8/6720 - k**7/2520 - k**6/720 + k**4/2 - 3*k. Let m(n) be the third derivative of r(n). Factor m(t).
t*(t - 1)*(t + 1)**2
Let y(w) be the third derivative of -w**6/660 + w**5/165 + w**4/132 - 2*w**3/33 - 4*w**2. Factor y(s).
-2*(s - 2)*(s - 1)*(s + 1)/11
Suppose 2 + 3 = r. Suppose 0 = r*a - a - 24. Factor -v**3 - a*v**4 + 6*v**3 - v**3 - v**3 + 3*v**2.
-3*v**2*(v - 1)*(2*v + 1)
Let u be (-869)/(-858) + (-4)/(-26). Let q(k) be the second derivative of u*k**6 - 2*k**3 + 33/10*k**5 + 3*k - 2*k**2 + 0 + 23/12*k**4. Let q(z) = 0. What is z?
-1, -2/7, 2/5
Find i, given that -1/3*i**2 - 5/3*i - 4/3 = 0.
-4, -1
Let f(g) = 3*g**3 + g**2 - g. Let i be f(1). Factor -2*q**3 + 3*q**3 - 4*q**2 + 2*q + 4 - 3*q**i.
-2*(q - 1)*(q + 1)*(q + 2)
Let r(h) be the second derivative of h**7/63 - 4*h**6/45 + h**5/5 - 2*h**4/9 + h**3/9 + 6*h. Factor r(o).
2*o*(o - 1)**4/3
Suppose -5*z = 4*n - 26, -2*z - 3*z = -4*n + 6. Find d such that d - n - 5*d + 4*d**3 - 2*d**4 + 6 = 0.
-1, 1
Suppose 3 = 3*q - 12. Let l be 2/q + (-28)/70. Factor l*v**3 + 0 + 0*v - 2/9*v**4 + 0*v**2.
-2*v**4/9
Let a(r) be the second derivative of 9/35*r**5 - 4/49*r**7 - 2/21*r**4 + 1/21*r**6 + 0 - 2/7*r**3 - 1/7*r**2 + 4*r. Suppose a(m) = 0. What is m?
-1, -1/3, -1/4, 1
Let c = 557/5 - 111. Determine b so that -4/5 + 2/5*b**2 + c*b = 0.
-2, 1
Let o(k) be the second derivative of k**7/14 - 3*k**5/20 + 2*k. Suppose o(m) = 0. Calculate m.
-1, 0, 1
Let r(b) be the third derivative of b**8/20160 + b**7/2520 + b**6/720 + b**5/30 - 3*b**2. Let k(u) be the third derivative of r(u). Factor k(j).
(j + 1)**2
Let h(m) = 2*m**2 + 5*m + 2. Let l be h(-3). Suppose 5*c = l*r - 35, -2*c - 2*c = 20. Factor 1/4*z**r - 1/4 + 0*z.
(z - 1)*(z + 1)/4
Let l = -53/4 - -55/4. Factor 0 + 1/2*s - l*s**2 + 1/2*s**4 - 1/2*s**3.
s*(s - 1)**2*(s + 1)/2
Let n be (-1)/((-2)/2) - (-14 - -14). Let a(x) be the first derivative of 3*x - x**3 - 3/2*x**2 - n + 3/4*x**4. Factor a(s).
3*(s - 1)**2*(s + 1)
Let a(g) be the first derivative of 5*g**6/6 + 12*g**5 + 60*g**4 + 320*g**3/3 + 22. Factor a(f).
5*f**2*(f + 4)**3
Suppose -2/3*y**3 - 2/9*y**4 - 2/9*y - 2/3*y**2 + 0 = 0. Calculate y.
-1, 0
Let o be ((-1 - 2) + 2)/((-25)/10). Let i be (-2)/(-8) + 2/(-8). Factor i + o*d**2 - 1/5*d + 3/5*d**3.
d*(d + 1)*(3*d - 1)/5
Suppose 0*z - 2 = z. Let x(r) = -2*r**2 - 3*r + 4. Let n(u) = -u**2 - u + 2. Let l = -2 - -7. Let s(w) = l*n(w) + z*x(w). Determine p so that s(p) = 0.
-1, 2
Let x(o) be the second derivative of 1/24*o**4 + 0 - o + 0*o**3 - 1/4*o**2. Solve x(t) = 0.
-1, 1
Let m(o) be the second derivative of -o**9/37800 + o**8/8400 + o**4/12 + 3*o. Let d(p) be the third derivative of m(p). Let d(j) = 0. Calculate j.
0, 2
Let a(m) be the first derivative of -2/3*m**2 + 2/9*m**3 + 2/3*m + 8. Factor a(v).
2*(v - 1)**2/3
Solve -18/13*y**2 + 2/13*y**3 - 32/13 + 48/13*y = 0.
1, 4
Suppose n - 4*c = 0, 0 = n + 2*n - 3*c - 9. Solve -1/6*y + 1/3*y**2 - 1/3*y**n + 1/6*y**5 + 0*y**3 + 0 = 0 for y.
-1, 0, 1
Let g = 104 - 52. Let n be 1/(-3) + g/12. Factor l - 2*l**3 + 4*l**2 + l - n*l.
-2*l*(l - 1)**2
Let d(s) be the third derivative of -s**7/3360 + s**6/1440 + s**3/3 + s**2. Let j(k) be the first derivative of d(k). Factor j(r).
-r**2*(r - 1)/4
Let l be 31*(-1)/(1 - 46). Let g = l + 1/5. What is r in -2/9*r**2 - 8/9 - g*r = 0?
-2
Suppose 0*f + 2/3*f**5 - 2/3*f**3 + 0 + 2/3*f**2 - 2/3*f**4 = 0. Calculate f.
-1, 0, 1
Let k be 2*(-4)/12*1/(-2). Factor -k*b**2 - 1/3 + 2/3*b.
-(b - 1)**2/3
Suppose 0 = -w - 1, -5*j + 2*w = 7*w + 5. Let c(d) be the second derivative of j*d**2 - 1/20*d**5 + 0 - 2*d - 1/6*d**4 - 1/6*d**3. Factor c(f).
-f*(f + 1)**2
Let l(a) be the first derivative of a**8/3360 + a**7/336 + a**6/240 - 3*a**5/80 - a**3/3 + 6. Let g(f) be the third derivative of l(f). Factor g(w).
w*(w - 1)*(w + 3)**2/2
Factor 0*v**2 + 2/5*v**3 - 2/5*v - 1/5*v**4 + 1/5.
-(v - 1)**3*(v + 1)/5
Let t = 3259/6 + -543. Factor 1/6*r - t*r**2 + 1/3.
-(r - 2)*(r + 1)/6
Let d(j) = -j**3 + 5*j**2 + 16*j - 12. Let x be d(7). Suppose 0*g + 0 + 1/3*g**x = 0. What is g?
0
Let m(z) = -2*z**4 + 8*z**3 + 11*z**2 + z - 3. Let a(g) = 5*g**4 - 17*g**3 - 23*g**2 - g + 7. Let u(y) = -3*a(y) - 7*m(y). Factor u(r).
-r*(r + 1)*(r + 2)**2
Let p be -1 - (-1)/((-4)/24*-2). Let t(q) be the first derivative of -2/9*q**3 - q**2 + p - 4/3*q. Find x, given that t(x) = 0.
-2, -1
Let k(f) = f - 4. Let q be k(4). Let n(z) be the third derivative of 2*z**2 + 0 + 0*z**4 + 1/30*z**5 + 0*z + q*z**3. Factor n(c).
2*c**2
Let b(j) = -3*j**3 + j**3 - 5*j**3 + 4*j**3 + 2*j**4 + 5 + 5*j**2. Let c(v) = -2*v**4 + 2*v**3 - 4*v**2 - 4. Let h(y) = 4*b(y) + 5*c(y). Factor h(m).
-2*m**3*(m + 1)
Let a(j) be the first derivative of -1/4*j**3 + 9/16*j**4 - 3/4*j**2 + 0*j + 8. Factor a(z).
3*z*(z - 1)*(3*z + 2)/4
Let l(z) be the third derivative of -1/630*z**7 + 4/9*z**3 + 0*z + 1/72*z**6 - 1/18*z**4 - 1/30*z**5 + 6*z**2 + 0. Suppose l(y) = 0. What is y?
-1, 2
Let s(l) be the third derivative of l**8/2940 + l**7/980 + l**6/1260 + l**3/2 - 4*l**2. Let x(f) be the first derivative of s(f). Factor x(y).
2*y**2*(y + 1)*(2*y + 1)/7
Let f = 7/138 - -85/138. Factor 1/6*h**2 - f + 0*h.
(h - 2)*(h + 2)/6
Let w(s) = 7*s**2 - s - 1. Let k(x) be the second derivative of -x**4/3 + x**2/2 - x. Let z be 170/60 + 1/6. Let t(u) = z*w(u) + 5*k(u). Factor t(b).
(b - 2)*(b - 1)
Let x(g) be the second derivative of 1/10*g**5 - 2*g - 1/3*g**3 + 0*g**2 + 0 - 1/6*g**4 + 1/15*g**6. Factor x(t).
2*t*(t - 1)*(t + 1)**2
Let i = 8 - 6. Suppose -13 = -i*w - 3. Determine m, given that 4*m**2 - m**w + 4*m**4 + m**3 - 4*m + 3*m - 7*m**3 = 0.
0, 1
Determine d, given that 10*d**4 + 12*d**3 + 11*d**4 - 33*d**4 + 16*d - 24*d**2 + 10*d**4 = 0.
0, 2
Let d(r) = r**5 - r**4 + r**3 - r**2 - 1. Let i(v) = -2*v**5 + 8*v**4 - 4*v**3 - 2*v + 4. Let u(c) = 4*d(c) + i(c)