*2*(a - 2)*(a - 1)/8
Suppose 7*b - 3*b - 4 = 0. Let k be (1 - (1 + b)) + (-55)/(-44). Factor 3/4*m**2 - 1/2 + 1/4*m - 1/4*m**3 - k*m**4.
-(m - 1)**2*(m + 1)*(m + 2)/4
Let o = 71 - 46. Suppose -10*d**2 - 230*d**3 - o*d + 114*d**3 + 115*d**3 = 0. Calculate d.
-5, 0
Let j(w) be the third derivative of -w**8/30240 - w**7/1620 - w**6/216 - w**5/60 + w**4/2 - 13*w**2. Let l(g) be the second derivative of j(g). Factor l(q).
-2*(q + 1)*(q + 3)**2/9
Suppose -3*d - 7 - 17 = 0. Let q be (4/d)/((-1)/4). Determine j, given that 27*j**5 - 40*j**3 + 36*j**4 + 12*j**2 - 6*j**q + 7*j**3 = 0.
-2, 0, 1/3
Suppose 2*o - 198 = 4*z, 265 = 2*o + 4*z + 91. What is q in -7*q**2 - 21*q + 3*q**3 + o*q + 25 - 26*q**2 + 83 = 0?
-1, 6
Let g(u) be the third derivative of 22*u**7/315 + 7*u**6/18 + 2*u**5/15 - 7*u**2 + 10*u. Factor g(x).
4*x**2*(x + 3)*(11*x + 2)/3
Let f(c) be the second derivative of -3*c**5/20 - c**4 - 2*c**3 + 2*c + 61. Let f(k) = 0. What is k?
-2, 0
Let f(r) be the first derivative of r**5/20 + 3*r**4/16 - 25*r**3/12 + 21*r**2/8 + 31. Factor f(d).
d*(d - 3)*(d - 1)*(d + 7)/4
Let j(v) be the third derivative of -11*v**2 - 1/27*v**3 + 1/270*v**5 + 1/108*v**4 - 1/540*v**6 + 0 + 0*v. Factor j(o).
-2*(o - 1)**2*(o + 1)/9
Let z be (3*(-9)/6)/129. Let r = z + 23/43. Factor 9/2*t**3 + t**5 + 0 + 7/2*t**4 + r*t + 5/2*t**2.
t*(t + 1)**3*(2*t + 1)/2
Let o(h) = h**2 + 3*h - 48. Let q be o(-11). Let g be 3/12 - 1*(-6)/q. Solve -g*l**2 + 0 - 2/5*l = 0 for l.
-1, 0
Factor -128/11 + 2/11*w**2 + 0*w.
2*(w - 8)*(w + 8)/11
Let o(q) be the second derivative of 0*q**3 + 0 + 2/15*q**4 - 7*q + 0*q**2 + 1/25*q**5. Suppose o(y) = 0. Calculate y.
-2, 0
Suppose 1548 = -5*d - 2*p, 7*d - 3*p + 1220 = 3*d. Let r be -3 + 2 + (d/36)/(-7). Factor -8/9*b - r*b**2 - 8/9.
-2*(b + 2)**2/9
Let a = -163 + 68. Let w = a + 381/4. What is d in 1/4*d**5 + w + 1/2*d**3 - 3/4*d**4 - 3/4*d + 1/2*d**2 = 0?
-1, 1
Let b(l) be the second derivative of 0*l**3 - 26*l - 2*l**2 + 0 + 1/3*l**4. Determine h, given that b(h) = 0.
-1, 1
Let k(o) be the first derivative of o**4/42 - 4*o**3/21 + 8*o**2/21 + 53. Factor k(z).
2*z*(z - 4)*(z - 2)/21
Suppose 7 = k + l - 2*l, 23 = 4*k - 3*l. Let w be ((-8)/30)/(36/20 - k). Find q such that 2 - 2/3*q**2 - w*q = 0.
-3, 1
Let o(d) be the first derivative of -1/12*d**4 + 19 - 2/9*d**3 + 0*d + 1/2*d**2. Determine j, given that o(j) = 0.
-3, 0, 1
Let l be 36/28 + 1 - 2. Let p = 51 - 51. Factor 2/7 + p*s - l*s**2.
-2*(s - 1)*(s + 1)/7
Let v = -41 + 167/4. Let n = 24/5 + -43/10. Solve -n*s - v*s**2 + 0 = 0 for s.
-2/3, 0
Let n(y) be the second derivative of -y**6/6 - y**5/5 + y**4/2 + 2*y**3/3 - y**2/2 + 184*y - 1. Determine m so that n(m) = 0.
-1, 1/5, 1
Let r(p) be the third derivative of p**8/1680 - p**7/105 + 11*p**6/200 - 2*p**5/15 + 2*p**4/15 - 4*p**2 - 26*p. Factor r(v).
v*(v - 4)**2*(v - 1)**2/5
Let w(s) be the second derivative of 1/36*s**4 + 1/6*s**2 - s - 1/9*s**3 + 0. Factor w(a).
(a - 1)**2/3
Let r(d) = d**2 + 8*d. Let q be r(-8). Suppose q = -v - 3*u + 11, 4*u - u - 26 = -4*v. Find h, given that h**5 - 3*h**4 - 3*h**5 - h**v = 0.
-1, 0
Let u(r) = r**2 - 10*r + 2. Let v be u(10). Factor -22*h + 1 - 11 - 14*h**v - 2*h**3 + 0.
-2*(h + 1)**2*(h + 5)
Let j**2 - 1/2*j**4 - 1/2*j**5 - 1/2*j + j**3 - 1/2 = 0. Calculate j.
-1, 1
Let 15000/7 + 600/7*r + 6/7*r**2 = 0. What is r?
-50
Factor 1/8*t**2 + 2809/8 - 53/4*t.
(t - 53)**2/8
Suppose -3*l + 0 + 15 = 0. Suppose -991*x**5 + 5*x**3 + 986*x**l + 0*x**3 = 0. Calculate x.
-1, 0, 1
Let q(h) be the third derivative of -h**8/2240 + h**7/840 + h**6/120 - 7*h**4/4 - 26*h**2. Let k(u) be the second derivative of q(u). What is n in k(n) = 0?
-1, 0, 2
Let r be 7 + ((-16)/1)/4. Let -347*w**2 + r*w**5 + 347*w**2 - 3*w**3 = 0. Calculate w.
-1, 0, 1
Let z(f) be the first derivative of -f**4/22 - 46*f**3/33 + 196. Suppose z(c) = 0. Calculate c.
-23, 0
Suppose -z - 16 = -3*z. Let s = z + -5. Factor -1 + 2*m - 3*m**s + m**3 + 0*m + 6*m**4 - 5*m**4.
(m - 1)**3*(m + 1)
Let x(h) = -7*h**4 + 7*h**3 - 20*h**2 + 4. Let a(s) = 8*s**4 - 6*s**3 + 22*s**2 + s - 5. Let q(l) = 4*a(l) + 5*x(l). Factor q(d).
-d*(d - 2)*(d - 1)*(3*d - 2)
Let z(t) = -9*t**3 + 75*t**2 - 258*t + 144. Let k(g) = 15*g**3 - 150*g**2 + 515*g - 286. Let x(v) = 6*k(v) + 11*z(v). Let x(b) = 0. Calculate b.
-11, 2/3, 2
Let f = -79 + 399/5. Let o = -3/86 + 187/430. Let 0*v**3 + f*v**4 - 4/5*v**2 - 2/5*v**5 + o*v + 0 = 0. Calculate v.
-1, 0, 1
Let i(n) be the second derivative of -1/19*n**3 + 1/19*n**2 + 13*n + 0 - 1/190*n**5 + 1/38*n**4. Factor i(p).
-2*(p - 1)**3/19
Let s(w) be the third derivative of -w**7/63 - 11*w**6/60 - 13*w**5/15 - 19*w**4/9 - 8*w**3/3 + 4*w**2 + 39. Factor s(x).
-2*(x + 2)**3*(5*x + 3)/3
Let r(c) be the third derivative of c**7/525 + c**6/60 - c**5/25 + 342*c**2. Factor r(o).
2*o**2*(o - 1)*(o + 6)/5
Let v = -2636 - -2640. Factor 7/4*u**2 - v + 1/4*u**3 + 2*u.
(u - 1)*(u + 4)**2/4
Let a(f) = -2*f**3 - 3*f**2 + 23*f + 12. Let j(y) = -2*y**3 - 4*y**2 + 26*y + 12. Let i(p) = 4*a(p) - 3*j(p). What is z in i(z) = 0?
-2, -1, 3
Let i(n) be the third derivative of -4*n**5/75 + 59*n**4/20 - 22*n**3/15 + 980*n**2. Factor i(b).
-2*(b - 22)*(8*b - 1)/5
Let j(r) be the second derivative of -r**5/20 + r**4/6 - 5*r**3/6 + r. Let m(d) = -2*d**3 + 2*d**2 - 6*d. Let n(l) = -3*j(l) + 2*m(l). Factor n(g).
-g*(g - 1)*(g + 3)
Find c, given that -16 - 1000*c - 7*c**4 - 12*c**3 + 3*c**4 + 20*c**2 + 1012*c = 0.
-4, -1, 1
Find b, given that 5*b**2 - 10*b + 135*b - 654 + 524 = 0.
-26, 1
Let c be (1 - -1)/(4/8). Let h be (205/(-41))/((-5)/2). Determine j so that 5*j**2 + 4*j**3 + j**2 - c*j**h + 6*j**4 - 4*j**4 = 0.
-1, 0
Let w = -159583/15 - -10644. Let y = -13/3 + w. Determine o so that -y - 1/5*o**4 - 12/5*o - 6/5*o**3 - 13/5*o**2 = 0.
-2, -1
Let c be 3*(242/165 - 4/30). Factor 2/7*l**2 + 0 - 2/7*l**c - 2/7*l**5 + 0*l + 2/7*l**3.
-2*l**2*(l - 1)*(l + 1)**2/7
Factor -6/7*y**2 - 6/7 - 20/7*y.
-2*(y + 3)*(3*y + 1)/7
Determine w, given that 3/2*w**4 - 15/2*w**2 + 6*w - 15/2*w**3 + 3/2*w**5 + 6 = 0.
-2, -1, 1, 2
What is c in -34/13*c**2 + 2/13*c**3 + 34/13 - 2/13*c = 0?
-1, 1, 17
What is y in 12/5 + 116/5*y + 311/5*y**2 - 81/5*y**4 + 126/5*y**3 = 0?
-1, -2/9, 3
Let r(l) be the third derivative of 0 + 0*l**4 + 1/420*l**8 + 0*l**3 + 0*l**5 + 19*l**2 + 1/75*l**6 + 2/175*l**7 + 0*l. Factor r(n).
4*n**3*(n + 1)*(n + 2)/5
Let j(m) be the first derivative of -5*m**4/4 - 30*m**3 - 405*m**2/2 - 50. What is n in j(n) = 0?
-9, 0
Let m be 24/1056*(1 + 2). Let j = m + 2/11. Find q, given that -j*q**4 + q**3 + 0 - q**2 + 0*q = 0.
0, 2
Let z be 90/(-1260) - (-8)/14. Suppose -z + t - 1/2*t**2 = 0. Calculate t.
1
Let m(f) = -f**3 - 17*f**2 + 164*f - 94. Let c be m(-24). Find i, given that 0 + 4/7*i + 2/7*i**c = 0.
-2, 0
Let m(b) be the third derivative of 3*b**6/280 - b**5/140 - b**4/21 + 2*b**3/21 + 646*b**2. Factor m(a).
(a + 1)*(3*a - 2)**2/7
Let a be (-10)/(-15) - (-31)/3. Let k = a + -9. Factor -2 + k + 3*m**2 - 2*m**3 - 7*m**2.
-2*m**2*(m + 2)
Let y(a) be the third derivative of 88/39*a**4 + 41/390*a**6 + 0*a + 0 - 4/5*a**5 + 3*a**2 + 128/39*a**3 - 1/195*a**7. Let y(s) = 0. What is s?
-2/7, 4
Let m be ((-5)/(400/8))/((-4)/150). Let 3*q + m*q**3 + 0 + 27/4*q**2 = 0. What is q?
-1, -4/5, 0
Factor -1/3*f**3 + 0 - 1/3*f - 2/3*f**2.
-f*(f + 1)**2/3
Let h(p) = 2*p**3 - 5*p**2 + 2*p + 1. Let g be h(3). Suppose 6 - g = -5*b. Let r + 4*r - 2*r**b - 7*r = 0. Calculate r.
-1, 0
Let t(g) be the second derivative of -50*g**4/3 - 20*g**3/3 - g**2 + 51*g + 1. Determine z, given that t(z) = 0.
-1/10
Factor 33*q**4 + 99*q**2 - 40*q**2 - 90*q - 87*q**3 - 6*q**4 - 3*q**5 + 24 + 70*q**2.
-3*(q - 4)*(q - 2)*(q - 1)**3
What is d in -63 - 31*d**3 - 18*d**2 - 43*d**2 + d**5 + d**4 - 30*d + 63 = 0?
-5, -1, 0, 6
Let u(g) be the first derivative of -g**3/9 - g**2/6 + 2*g - 28. Let u(m) = 0. Calculate m.
-3, 2
Suppose -3*u + 3*c = -18, 4*c = -4*u + 3 - 11. Factor 1/4*v**5 + 11/4*v**4 + 6*v**3 - 9*v**u + 0 + 0*v.
v**2*(v - 1)*(v + 6)**2/4
Let j = 40 + -36. Solve 36*s**3 - 37*s**2 + 23*s**4 + j*s**5 + 8*s - 3*s**4 + 65*s**2 = 0 for s.
-2, -1, 0
What is w in -71253 - 4*w**2 - 42991 + 300*w + 803*w + 249*w = 0?
169
Let u(g) be the third derivative of 1/60*g**6 - 1/224*g**8 + 0*g**4 + 0 + 1/84*g**7 - 1/30*g**5 + 0*g**3 + 25*g*