*3 = 0. What is b?
-1, 0, 1
Let n = 489/22 - 228/11. Let p(h) be the second derivative of 3/20*h**5 + 3*h - n*h**2 + 1/4*h**4 + 0 - 1/2*h**3. Factor p(d).
3*(d - 1)*(d + 1)**2
Let i(u) = u**2 + 81*u + 772. Let h be i(-11). Suppose 0*d + 7/4*d**5 + 0 - 1/2*d**4 - 7/4*d**3 + 1/2*d**h = 0. What is d?
-1, 0, 2/7, 1
Suppose 3*z = -3*i, 4*i + 0*z - 6 = -z. Let g be -6*(i - 34/16). Factor 15/4*s**3 + g - 3/4*s - 3/2*s**4 - 9/4*s**2.
-3*(s - 1)**3*(2*s + 1)/4
Let 93/5*h**3 + 0 + 0*h + 51/5*h**2 - 9/5*h**5 + 33/5*h**4 = 0. Calculate h.
-1, 0, 17/3
Let x be ((-4 - -6)*1)/2 + -28. Let l be 7/7*-4*6/x. Determine u, given that 0*u - 14*u**4 - l*u**2 + 0 - 64/9*u**3 = 0.
-2/7, -2/9, 0
Let s be 104/2 - (1 + (-4)/1). Let r = -55 + s. Suppose r - 2/5*u - 2/5*u**2 = 0. Calculate u.
-1, 0
Suppose 252 = -9*d + 23*d. Factor -7*a + 8*a + d - 13*a + 2*a**2.
2*(a - 3)**2
Find m, given that -86*m**3 - 4 - 37*m + 29*m + 22*m**4 + 102*m**2 - 26*m = 0.
-1/11, 1, 2
Suppose 24/5*b**4 - 22/15*b**2 - 2/15*b - 16/5*b**3 + 0 = 0. Calculate b.
-1/6, 0, 1
Factor -3*l**2 + 3/4*l**3 + 225/2 - 105/4*l.
3*(l - 5)**2*(l + 6)/4
Let m = 10 + -5. Let l(g) = -76*g + 231. Let b be l(3). Factor -2/5*w**4 + 0*w + 0 + 2/5*w**m + 2/5*w**2 - 2/5*w**b.
2*w**2*(w - 1)**2*(w + 1)/5
Let n(c) be the third derivative of 0*c + 1/14*c**7 + 1/12*c**5 + 14*c**2 - 5/336*c**8 + 0*c**4 - 1/8*c**6 + 0 + 0*c**3. Factor n(d).
-5*d**2*(d - 1)**3
Let g(h) be the first derivative of -2*h**5/5 - 11*h**4/2 - 18*h**3 + 11*h**2 + 56*h + 271. Suppose g(t) = 0. Calculate t.
-7, -4, -1, 1
Determine v, given that -5*v**3 - 126*v - 3*v**3 + 90 + 72 + 6*v**3 - 34*v**2 = 0.
-9, 1
Suppose -36*a - 3*j = -38*a + 6, 0 = 4*a + j + 2. Let a - 2/3*q - 2*q**3 - 2*q**2 - 2/3*q**4 = 0. What is q?
-1, 0
Let k(x) be the first derivative of -8/3*x**3 + 0*x + 1/132*x**4 + 1/330*x**5 + 0*x**2 + 1/1980*x**6 - 6. Let c(l) be the third derivative of k(l). Factor c(a).
2*(a + 1)**2/11
Let t(r) be the third derivative of -1/280*r**6 + 7*r**2 + 0*r + 1/56*r**4 + 0 + 0*r**3 + 0*r**5. Factor t(o).
-3*o*(o - 1)*(o + 1)/7
Suppose -14*p - 26*p + 156 = 36. Let x = -2 - -2. Find b, given that 2/5*b + 2/5*b**p - 4/5*b**2 + x = 0.
0, 1
Let m be 1/6 + 4466/6468. Determine r so that 2*r + 10/7*r**2 + m + 2/7*r**3 = 0.
-3, -1
Let y(a) be the second derivative of 0 - 5/4*a**4 + 1/6*a**6 - 24*a + 1/10*a**5 + 2/3*a**3 + 2*a**2. Determine q so that y(q) = 0.
-2, -2/5, 1
Let p(f) be the second derivative of -f**4/12 - 5*f**3/6 - f**2 - 19*f. Let k be p(-2). Factor 0*w - 2/5*w**2 + 0 - 2/5*w**k + 4/5*w**3.
-2*w**2*(w - 1)**2/5
Let y be -16 - (5 - 13 - 10). Factor 3*a + 3/2*a**y + 3/2.
3*(a + 1)**2/2
Let n(g) = -g**2 - 9*g - 15. Let w be (-8)/(-6) + 44/(-6). Let p be n(w). Factor 0*v**2 + 3/5*v**4 - 7/5*v**p + 0 + 4/5*v.
v*(v - 2)*(v - 1)*(3*v + 2)/5
Factor -54*z**3 + 252*z**2 - 4*z**4 + 4923*z - 2*z**4 - 5187*z + 3*z**4.
-3*z*(z - 2)**2*(z + 22)
Let v(s) be the second derivative of s**7/1680 - s**6/320 + s**5/240 - 8*s**2 - 14*s. Let k(o) be the first derivative of v(o). Factor k(p).
p**2*(p - 2)*(p - 1)/8
Suppose 38 = 11*s + 5. Factor -c**3 + c**2 - c**2 - 9*c - 2*c**3 + s + 9*c**2.
-3*(c - 1)**3
Suppose -4*w = h, -41*w = -h - 44*w + 1. Let f(n) be the first derivative of -2/7*n**2 + 11 + 4/7*n**3 + 0*n - 3/7*n**h + 4/35*n**5. Factor f(g).
4*g*(g - 1)**3/7
Let x(d) be the third derivative of 0 - 5/6*d**4 - 25/3*d**3 + 3*d**2 + 0*d - 1/30*d**5. Factor x(g).
-2*(g + 5)**2
Suppose 15 = 10*s - 7*s. Suppose -q - s*q = 3*q. Factor 0*v + 4/11*v**2 - 2/11*v**3 + q.
-2*v**2*(v - 2)/11
Let v be (-84)/4*2/4. Let y = 11 + v. Factor 1/2*n - 1/2*n**3 + y*n**2 - 1/2*n**4 + 0.
-n*(n - 1)*(n + 1)**2/2
Determine q so that 14699*q**4 - 4*q**5 - 7*q**2 - 14695*q**4 + 3*q**2 + 4*q**3 = 0.
-1, 0, 1
Let x(z) be the first derivative of -2*z**5/55 - z**4/22 + 251. Determine a, given that x(a) = 0.
-1, 0
Let s be 8*6/360*3. Let a be (-2 - -1 - -1)/(-2). Factor -2/5*b**2 + a + 4/5*b - s*b**3.
-2*b*(b - 1)*(b + 2)/5
Suppose 2*w = 11 - 3. Factor -w*t**3 + 3*t**2 - 8*t**5 - 8*t**4 - 5*t**2 + 22*t**4.
-2*t**2*(t - 1)**2*(4*t + 1)
Suppose 1/4*v**2 + 1 + v = 0. What is v?
-2
Let u(n) be the first derivative of -2*n**3/15 + 124*n**2/5 - 7688*n/5 - 12. Factor u(o).
-2*(o - 62)**2/5
Suppose -3*p = 5*p. Let r(k) be the second derivative of 1/30*k**4 + p + 1/5*k**2 - 2/15*k**3 - 2*k. Factor r(u).
2*(u - 1)**2/5
Let i be (-3344)/1045*2/(-8). Suppose -18/5*t**2 - 14/5*t + i = 0. Calculate t.
-1, 2/9
Let t(n) = 19*n - 29*n + 361*n - 312*n**2 - 66*n**3. Let b(v) = 5*v**3 + 24*v**2 - 27*v. Let i(a) = -27*b(a) - 2*t(a). Determine d, given that i(d) = 0.
-9, 0, 1
Factor 3*p**4 + 6378 + 408 + 30*p**3 - 225*p**2 - 1500*p - 487 + 1201.
3*(p - 5)**2*(p + 10)**2
Let k(h) be the first derivative of -5*h**3/3 + 100*h**2 - 380*h - 290. Find z, given that k(z) = 0.
2, 38
Determine w so that 3/8*w**4 - 15*w**2 - 3/8*w**5 + 33/4*w**3 + 0 + 0*w = 0.
-5, 0, 2, 4
Let l(d) be the first derivative of 1/12*d**3 + 0*d + 22 + 1/4*d**2 - 1/20*d**5 - 3/16*d**4 + 1/24*d**6. Suppose l(z) = 0. Calculate z.
-1, 0, 1, 2
Suppose 8*g - 28 = -2*n + 12*g, 5*g = -5*n - 5. Factor -1/2*r**n + 0 - r + r**3 + 1/2*r**2.
-r*(r - 2)*(r - 1)*(r + 1)/2
Let j(v) be the second derivative of -v**7/9240 + v**6/1980 + 17*v**3/6 + 17*v. Let g(q) be the second derivative of j(q). Factor g(n).
-n**2*(n - 2)/11
Let d(x) be the first derivative of 2*x**5/55 + 5*x**4/11 - 24*x**3/11 + 38*x**2/11 - 26*x/11 - 51. Factor d(q).
2*(q - 1)**3*(q + 13)/11
Suppose 0 = -4*z - 0*z + 8. Suppose 0 = -s + 2*n - 3, 5*n - 4 = 2*s + 5. Factor -b**s + 7*b**2 + b - 4*b**2 + 0*b - z*b**4 - 1.
-(b - 1)*(b + 1)**2*(2*b - 1)
Let k = -119 - -143. Let o = -93/4 + k. Factor 0 - 3/4*c + o*c**2.
3*c*(c - 1)/4
Let m(x) = -3*x**2. Let f(l) = -5*l**3 - 78*l**2 - 180*l. Let k(z) = -f(z) + 6*m(z). Factor k(d).
5*d*(d + 6)**2
Suppose -8*j - 727 + 743 = 0. Factor 3/7*c**4 - 4*c**j + 1/7*c**5 - 6/7*c**3 + 0 - 24/7*c.
c*(c - 3)*(c + 2)**3/7
Suppose 81 + 24 = 5*v. Suppose -3*c - 3 = -3*m - 6*c, 0 = -5*m + 3*c + v. Find o such that 3*o**3 + 6 + 12*o**2 - 9*o - m*o**4 - 3*o**2 - 6*o = 0.
-2, 1
Let a = 385/1524 + -1/381. Factor -7/8*l - l**2 + 1/4*l**4 + 1/8*l**5 - 1/4*l**3 - a.
(l - 2)*(l + 1)**4/8
Let i = -7/165 - -62/165. Factor 11/3*p + i*p**3 - 7/3*p**2 - 5/3.
(p - 5)*(p - 1)**2/3
Let d(x) be the third derivative of x**5/60 - 17*x**4/24 + 5*x**3 + x**2 - 175. Let d(a) = 0. Calculate a.
2, 15
Let a(d) = -2*d - 8. Let x be a(-10). Let m = x + -10. Factor -5*c + 0*c**2 + 3 - c**3 - 3*c**2 - 5 - c**m.
-(c + 1)**2*(c + 2)
Let j(v) be the first derivative of 7*v**4 + 104*v**3/3 + 40*v**2 - 32*v + 25. Factor j(b).
4*(b + 2)**2*(7*b - 2)
Let x(f) be the third derivative of f**8/20160 - f**6/720 + f**5/180 - f**4/2 + 26*f**2. Let v(s) be the second derivative of x(s). Find r, given that v(r) = 0.
-2, 1
Suppose -18*g = -20*g + 10. Suppose -10*j = -33 - 7. Factor -22/7*f**j + 0 - 18/7*f**3 - 8/7*f**g + 2/7*f - 2/7*f**2.
-2*f*(f + 1)**3*(4*f - 1)/7
Let u = -1/4140 - -13249/4140. Factor u*h + 12/5 + 4/5*h**2.
4*(h + 1)*(h + 3)/5
Let v(p) be the second derivative of -p**4/4 + 19*p**3/2 - 78*p. Let v(n) = 0. Calculate n.
0, 19
Suppose w + 3*w = 4. Let m(r) = r**2 - 1. Let b(d) = -d**5 - 3*d**4 + 3*d**2 + 1. Let t(c) = w*b(c) + m(c). Suppose t(i) = 0. Calculate i.
-2, 0, 1
Suppose -4*g = 3*n - 195, -3*g + 59 = -n - 71. Suppose g*t + 5*t**3 + 13*t**2 + 17*t**2 - 20 - 60*t**2 = 0. Calculate t.
1, 4
Suppose -6*l + 129 = 39. Let s(q) = -q**3 + 16*q**2 - 14*q - 15. Let b be s(l). Factor 0 - 1/3*r**5 + b*r**4 + 2/3*r**2 + r**3 + 0*r.
-r**2*(r - 2)*(r + 1)**2/3
Let v(b) be the first derivative of -b + 1/12*b**3 + 11 + 0*b**2. Determine o so that v(o) = 0.
-2, 2
Let i be (-2*1/4)/((-2)/(-8)). Let u be 174/27 + i + 2/(-1). What is z in -4/9 + u*z**2 + 2*z = 0?
-1, 2/11
Let v(i) be the second derivative of 2*i**4/3 - 58*i**3/3 + 28*i**2 - 96*i - 2. Find d such that v(d) = 0.
1/2, 14
Find a such that 1/2*a**2 - 15/2 + a = 0.
-5, 3
Let j(z) be the third derivative of 9*z**6/160 - 39*z**5/20 + 49*z**4/8 - 8*z**3 + 4*z**2 - 2*z. Determine v so that j(v) = 0.
2/3, 16
Let f(u) = -4*u**2 - 3*u - 10. Let z be f(3). Let h be (-6)/9*45/z. Factor 0 + 4/11*q - h*q**2 + 2/11*q**4 + 0*q**3.
2*q*(q - 1)**2*(q + 2)/11
Let x 