0*o = 0. What is o?
0
Suppose -185*z = -179*z - 36. Let 3/2*g**5 + 6*g**4 + 9/2*g**3 - z*g**2 + 0 - 6*g = 0. What is g?
-2, -1, 0, 1
What is b in -260*b**2 - 75*b**4 + 13*b + 0*b + 47*b + 305*b**3 = 0?
0, 2/5, 2/3, 3
Let z be 1*5117/147*-3. Let h = 105 + z. Let 2/7 - 2/7*u**4 + 0*u**2 - 4/7*u + h*u**3 = 0. What is u?
-1, 1
Let u be ((-2)/1)/(26/(-8)). Let m = -3002 - -3005. Factor -2/13*f**m + 4/13 + u*f**2 - 10/13*f.
-2*(f - 2)*(f - 1)**2/13
Let 21/2*x**4 + 21/2*x**2 + 153/2*x - 21 - 153/2*x**3 = 0. Calculate x.
-1, 2/7, 1, 7
Let v be 37/5 + (7/(-21))/(27/567). Suppose 0 - 3/5*k**2 + 1/5*k**4 - v*k**3 + 0*k = 0. What is k?
-1, 0, 3
Factor 3/7*d**2 - 264/7 + 54/7*d.
3*(d - 4)*(d + 22)/7
Let s(m) be the third derivative of m**5/24 - 5*m**4/48 - 5*m**3/2 + 2*m**2 - 43. Factor s(y).
5*(y - 3)*(y + 2)/2
Let h(u) be the third derivative of -26/105*u**7 - 112/15*u**5 + 0*u + 11*u**2 + 2*u**6 + 32/3*u**4 + 0 + 0*u**3 + 1/84*u**8. Let h(q) = 0. What is q?
0, 1, 4
Let n = 37/125 + -319/1500. Determine y so that -1/2*y**4 - 1/6*y**2 - n*y**5 + y - 11/12*y**3 + 2/3 = 0.
-2, -1, 1
Let a(k) = -3*k**2 + 34*k - 8. Let q be a(11). Let w(p) be the third derivative of 1/20*p**5 + 0 - 1/4*p**4 + 1/2*p**q + 0*p - 3*p**2. Factor w(b).
3*(b - 1)**2
Find i, given that -184/3*i**2 + 0 + 62/3*i - 2*i**3 = 0.
-31, 0, 1/3
Let k be 6/(-2)*(-11 + 2). Let s = -64 + 68. Factor 0*w**3 + 3*w**3 - 4 + s + k*w - 18*w**2.
3*w*(w - 3)**2
Let y = 61 - 2195/36. Let p(m) be the second derivative of 0 + m + 1/60*m**5 - 1/18*m**3 - y*m**4 + 1/6*m**2. Suppose p(n) = 0. What is n?
-1, 1
Let t(k) be the third derivative of 0 - 6*k**2 + 1/5*k**5 + 1/15*k**6 + 1/6*k**4 + 0*k**3 + 0*k. Let t(j) = 0. What is j?
-1, -1/2, 0
Let b(u) be the third derivative of 5/108*u**4 + 4/27*u**3 + 1/270*u**5 + 0 + 0*u - 3*u**2. Find y such that b(y) = 0.
-4, -1
Let a be 4/28*(-2660)/(-475). Determine h so that 64/5*h + 45*h**3 + a + 57*h**2 = 0.
-1, -2/15
Let g(n) = 12*n**4 - 31*n**3 - 17*n**2 + 209*n - 209. Let w(i) = -4*i**4 + 10*i**3 + 6*i**2 - 70*i + 70. Let f(a) = -6*g(a) - 17*w(a). Factor f(z).
-4*(z - 2)**3*(z + 2)
Let i(n) be the third derivative of 0 + 1/6*n**4 + 0*n**3 - 11/10*n**5 + 7*n**2 + 0*n. Determine o, given that i(o) = 0.
0, 2/33
Let v(a) be the first derivative of -a**5/90 + a**4/27 - a**3/27 + 32*a + 39. Let x(c) be the first derivative of v(c). Factor x(z).
-2*z*(z - 1)**2/9
Determine b, given that 33/5*b**3 + 3/5*b**4 + 0 + 72/5*b**2 + 0*b = 0.
-8, -3, 0
Let t = -481/80 + 109/16. Factor -t + 6/5*x - 2/5*x**2.
-2*(x - 2)*(x - 1)/5
Suppose 0 = 64*s - 193*s + 258. Solve 243/5*f**3 + 336/5*f + 837/5*f**s + 36/5 = 0 for f.
-3, -2/9
Suppose 130 = 4*h + d - 21, 0 = 5*h + 3*d - 180. Suppose -h*s = -41*s + 4. Factor -1/2*q**4 - 5/2*q**s + 0 - 2*q**3 - q.
-q*(q + 1)**2*(q + 2)/2
Let n(b) = 44*b**2 + 1296*b + 35000. Let i(o) = 16*o**2 + 432*o + 11667. Let t(q) = 8*i(q) - 3*n(q). Factor t(f).
-4*(f + 54)**2
Suppose -12126*f = -12092*f. Find b, given that 1/3*b**5 + 2*b**4 + 4*b**3 + b + 10/3*b**2 + f = 0.
-3, -1, 0
Let g(t) be the first derivative of t**4/24 - t**3/6 + t**2/4 + 12*t + 7. Let s(h) be the first derivative of g(h). Factor s(x).
(x - 1)**2/2
Let v(g) be the first derivative of 4*g**5/15 + 3*g**4 + 20*g**3/3 - 50*g**2/3 - 233. Factor v(f).
4*f*(f - 1)*(f + 5)**2/3
Let y(n) be the second derivative of -n**4/12 - 7*n**3/6 + 4*n**2 - 2*n + 41. Factor y(o).
-(o - 1)*(o + 8)
Let -208/3*o**3 + 0*o + 196/3*o**5 - 280/3*o**4 + 0 - 32/3*o**2 = 0. Calculate o.
-2/7, 0, 2
Let q(z) be the second derivative of z**6/18 + 5*z**5/12 - 3*z - 64. Factor q(u).
5*u**3*(u + 5)/3
Let r(d) = -4*d**2 - 70*d + 62. Let a(b) = 13*b**2 + 211*b - 182. Let l(m) = 2*a(m) + 7*r(m). Find o, given that l(o) = 0.
-35, 1
Let h = 55/123 + -1/369. Let p(q) be the second derivative of h*q**3 - 5/3*q**2 + 0 + q + 1/18*q**4. Suppose p(v) = 0. What is v?
-5, 1
Let 4*k**2 + k + 3*k - 6*k**3 + 4*k**3 + 3*k**3 = 0. Calculate k.
-2, 0
Suppose -f = -2 - 1. Suppose -2*b - 7 = f*g - 25, -16 = -4*g. Suppose 3*t + 2*t**4 - 3*t**2 + 4*t**4 - 6*t**5 - 9*t**b + 9*t**4 = 0. Calculate t.
-1/2, 0, 1
Let w(x) = 2*x + 18. Let j be w(-8). Factor -4*b**j + 110*b**3 - 52*b**3 - 54*b**3.
4*b**2*(b - 1)
Let v(p) be the second derivative of p**8/7560 - p**7/1260 + p**6/540 - p**5/540 - p**3/6 + 18*p. Let y(h) be the second derivative of v(h). Factor y(c).
2*c*(c - 1)**3/9
Let z(d) be the first derivative of d**4/8 + d**3/6 - 3*d**2/2 + 468. Determine x so that z(x) = 0.
-3, 0, 2
Suppose -27 = n + 2*n. Let l = n + 9. Find z, given that -z + 5*z**3 - 1 - 2*z - 6*z**3 + l*z - 3*z**2 = 0.
-1
Let o(n) be the second derivative of -n**6/30 - n**5/10 + n**4/12 + n**3/3 + 5*n - 4. Factor o(a).
-a*(a - 1)*(a + 1)*(a + 2)
Let a(d) be the first derivative of -d**2/2 + 10*d + 10. Let p be a(8). Factor -1/4*m + 0 + 3/4*m**3 - 1/2*m**p.
m*(m - 1)*(3*m + 1)/4
Let w = 60568/7 + -8652. Find y such that -w*y + 8/7*y**2 - 4/7*y**3 + 0 = 0.
0, 1
Let o = 1268 - 13942/11. Factor -2/11*n**3 - 4/11 + o*n + 0*n**2.
-2*(n - 1)**2*(n + 2)/11
Let j be (-2)/(-4)*0 - -3. Factor 3*v**3 - 9*v**j + 2 + 2 - 8*v**2 + 5*v - 3*v.
-2*(v + 1)**2*(3*v - 2)
Let g = 1165 + -1158. Let x(w) be the first derivative of g*w**2 + 4*w + 5/2*w**4 + 6*w**3 + 2/5*w**5 - 1. Factor x(k).
2*(k + 1)**3*(k + 2)
Let q(b) be the second derivative of -1/4*b**5 - 5/4*b**4 + 10*b - 5/2*b**2 + 0 - 5/2*b**3. Suppose q(v) = 0. What is v?
-1
Let h = 233 - 229. Let b = 8 - h. Factor 1/2*y**b - 1/4*y - 1/2*y**2 + 0 + 0*y**3 + 1/4*y**5.
y*(y - 1)*(y + 1)**3/4
Let x(f) be the second derivative of -f**7/210 - f**6/50 + f**4/15 + 2*f + 91. Solve x(q) = 0 for q.
-2, 0, 1
Suppose -2*m - 4*b = -0*b, -3*m = -5*b - 11. Let g = -203 + 206. Determine d, given that 3/5*d**g + 0*d + 0 - 9/5*d**m = 0.
0, 3
Let g be ((-18)/(-1485)*30)/((-4)/(-22)). Let l be (-19)/(-7) + -3 + 6. Factor -l*u**g - 12/7*u**3 - 36/7*u - 8/7.
-4*(u + 1)*(u + 2)*(3*u + 1)/7
Suppose -12*b + 16*b - 12 = 0. Find z such that -7 - 3 + 15*z**b - 24*z**3 - 15*z + 14*z**3 = 0.
-1, 2
Suppose -42*g + 23*g + 95 = 0. Let h(m) be the first derivative of 0*m**2 - m**3 - 9/4*m**4 + 12/5*m**g + 0*m - 1. Factor h(d).
3*d**2*(d - 1)*(4*d + 1)
Let w be 2/((-44)/12 - -3). Let q be 0 - (-3 + (-3 - w)). Determine c so that -5*c**2 - 19*c**4 - c**4 - 19*c**3 + 44*c**q = 0.
0, 1/4, 1
Factor -4/3*p + 0 + 4/3*p**2 - 1/3*p**3.
-p*(p - 2)**2/3
Suppose 5*c - 4*i = -6*i - 8, 3*c - i - 4 = 0. Factor -2/19*a**4 + c*a**2 + 0*a + 0 + 0*a**3 + 2/19*a**5.
2*a**4*(a - 1)/19
Factor -7*t**3 - 16 + 3*t - 10*t + 8*t**3 + 55*t - 44*t**2 + 11*t**3.
4*(t - 2)*(t - 1)*(3*t - 2)
Let w(p) = p**2 - 18*p + 14. Let f(z) = -2*z**2 + 20*z - 16. Let o(y) = 3*f(y) + 2*w(y). Determine n so that o(n) = 0.
1, 5
Determine j so that 0*j**2 + 0*j + 3/7*j**4 + 18/7*j**3 + 0 = 0.
-6, 0
Let c(t) = -t + 26. Let p be c(24). Factor -47*z + 2*z**p + 26*z - 67*z - 6*z**2 - 484.
-4*(z + 11)**2
Let x(y) be the third derivative of 17*y**2 + 0*y**3 + 1/168*y**4 + 0*y + 0 + 1/420*y**5. Factor x(h).
h*(h + 1)/7
Let j be (50/(-20) + 3)/2. Factor -1/2*i + 0*i**2 - j + 1/2*i**3 + 1/4*i**4.
(i - 1)*(i + 1)**3/4
Let q = 14263/7 + -2037. Factor -2/7*m**3 - q + 2/7*m + 4/7*m**2.
-2*(m - 2)*(m - 1)*(m + 1)/7
Let b(y) be the first derivative of -4*y**3/15 + 14*y**2/5 + 236. Factor b(j).
-4*j*(j - 7)/5
Factor 2/7*c**3 + 0 + 52/7*c - 54/7*c**2.
2*c*(c - 26)*(c - 1)/7
Factor 12 + 35/2*r + 6*r**2 + 1/2*r**3.
(r + 1)*(r + 3)*(r + 8)/2
Let i be (2 - 0)/(-331 - -334). What is f in -7/3*f**2 + 3*f - i = 0?
2/7, 1
Let c(a) = 134*a + 9. Let q be c(1). Let g = 724/5 - q. Factor g + 1/5*r**2 + 6/5*r.
(r + 3)**2/5
Suppose 0 = -4*y - 8, -5*c + 2*y = -0*c - 49. Let u be 3/c + (-16)/(-6). Determine h so that -3/2*h**2 + 0 - u*h = 0.
-2, 0
Let q(m) be the first derivative of 1/10*m**4 - 3 + 14/75*m**5 + 0*m + 2/45*m**6 - 4/15*m**2 - 16/45*m**3. What is h in q(h) = 0?
-2, -1/2, 0, 1
Let m(h) be the first derivative of 1/6*h**3 + 0*h + 14 + 1/2*h**2. Let m(t) = 0. What is t?
-2, 0
Let h be 39/(-13)*((-40)/6 - -5). Let y(o) be the second derivative of -h*o + 1/4*o**4 - 3/4*o**3 + 0 + 0*o**2 + 3/40*o**5. Solve y(w) = 0.
-3, 0, 1
Let a(m) be the third derivative of 0 + 12*m**2 + 1/40*m**6 + 0*m - 7/24*m**4 - 1/30*m**5 - 1/3*m**3. Factor a(p).
(p - 2)*