*a + 120 = -13*a. Suppose 0*h - d - 3 = 4*h, -h + a = -5*d. Suppose -1/6*t**3 - 1/3*t**2 + h - 1/6*t = 0. Calculate t.
-1, 0
Let a(x) be the third derivative of x**7/105 + 3*x**6/20 + 3*x**5/5 - 8*x**4/3 - 32*x**3 - 94*x**2. What is r in a(r) = 0?
-4, -3, 2
Let i be 0/((6/(-4))/(66/88)). Factor i - 1/2*n**2 - n.
-n*(n + 2)/2
Let o(n) be the first derivative of 15*n + 25/3*n**3 - 18 - 5/4*n**4 - 35/2*n**2. Factor o(i).
-5*(i - 3)*(i - 1)**2
Let r = 1668/7 + -238. Find t, given that 0 + 2/7*t**5 + 4/7*t**4 - 4/7*t**2 + 0*t**3 - r*t = 0.
-1, 0, 1
Let f(g) = 11*g - 20. Let n be f(7). Let u = n + -55. Solve -24/13*h**u + 2*h**3 + 8/13*h + 2/13*h**5 - 12/13*h**4 + 0 = 0 for h.
0, 1, 2
Let s be 598/230 + 6/(-10). Suppose -45 = -5*b - 2*o, 4*b - 10 - 8 = 2*o. Factor -2*x + x + b*x - x**s + 2*x - 16.
-(x - 4)**2
Let v be (-2376)/(-378) - (-12)/(-2)*1. Factor -2/7*w + 0 + 0*w**2 + v*w**3.
2*w*(w - 1)*(w + 1)/7
Let u(c) = -44*c - 132. Let t be u(-3). Let f(m) be the third derivative of 0 + 0*m - m**2 - 1/360*m**6 + t*m**4 - 1/180*m**5 + 0*m**3. Factor f(r).
-r**2*(r + 1)/3
Let n(l) = -l**2 + 9*l - 12. Let v be n(6). Let g(p) = -6*p**2 - p + 16. Let t(h) = 5*h**2 + 2*h - 16. Let j(s) = v*g(s) + 7*t(s). Factor j(u).
-(u - 4)**2
Let -3/4*t**2 - 768 - 48*t = 0. What is t?
-32
Suppose 0*q + u + 2 = q, 15 = 5*u. Suppose 3 - 4*a**2 - 2 - 8*a - q = 0. What is a?
-1
Let v be 33/18 - (5 + 155/(-30)). Let u(b) be the first derivative of -8/15*b**3 - 7 + 1/5*b**4 + 8/5*b - 2/5*b**v. Let u(s) = 0. Calculate s.
-1, 1, 2
Let k(y) be the second derivative of y**5/420 + y**4/42 + y**3/14 + 13*y**2/2 - 9*y. Let z(i) be the first derivative of k(i). Find a such that z(a) = 0.
-3, -1
Let t = -20 - -20. Suppose 4*k - 8 + 0 = t. Determine i, given that 0*i**2 - 6*i**4 + 3*i + 2*i**3 + k*i**3 - 7*i + 6*i**2 = 0.
-1, 0, 2/3, 1
Let s(y) be the first derivative of -y**6/16 - 147*y**5/20 - 297*y**4 - 16335*y**3/4 + 107811*y**2/16 + 601. Suppose s(f) = 0. Calculate f.
-33, 0, 1
Let r(b) be the first derivative of -b**4/2 - 52*b**3/9 - 52*b**2/3 - 16*b - 348. Factor r(p).
-2*(p + 2)*(p + 6)*(3*p + 2)/3
Suppose -w + 2*h + 3 = 0, -w + 17 = h + 11. Determine u, given that w*u**2 + 4/5 + 4*u = 0.
-2/5
Let d(l) be the third derivative of l**6/1020 + l**5/17 - 3*l**2 - 217*l. Let d(j) = 0. What is j?
-30, 0
Let n be 4240/(-954) - 18/(-4). Let w(i) be the second derivative of 1/12*i**5 + 0*i**3 + 5*i + 0 - 1/30*i**6 - n*i**4 + 0*i**2. Factor w(o).
-o**2*(o - 1)*(3*o - 2)/3
Let f(s) be the second derivative of s**5/10 - 2*s**4/3 + 53*s. Factor f(j).
2*j**2*(j - 4)
Let s(p) be the third derivative of -p**6/60 + p**5/15 - p**4/12 - 23*p**2. Find n such that s(n) = 0.
0, 1
Suppose 4 = 3*a + 10. Let y be a/(-13) - (-312)/169. Find l, given that -2*l**5 + 12*l + y*l**4 - 2*l**5 - 12*l + 2*l**3 = 0.
-1/2, 0, 1
Let a(m) be the first derivative of -2*m**6/3 + 28*m**5/5 - 8*m**4 - 64*m**3/3 - 60. Suppose a(s) = 0. Calculate s.
-1, 0, 4
Let o(b) be the second derivative of b**5/90 - b**4/9 + b**3/3 - 4*b**2/9 - 31*b + 2. Factor o(d).
2*(d - 4)*(d - 1)**2/9
Let p = 131/30 - 43/10. Let a(v) be the first derivative of 1/30*v**4 + 0*v + 0*v**3 - p*v**2 - 7. Factor a(y).
2*y*(y - 1)*(y + 1)/15
Let d(o) be the third derivative of o**7/210 - o**6/90 - o**5/15 + 7*o**3/3 - 4*o**2. Let u(k) be the first derivative of d(k). Factor u(t).
4*t*(t - 2)*(t + 1)
Let g(l) = l**2 + 5*l - 4. Let i(z) = -z**2 - 4*z + 3. Let m(y) = 3*g(y) + 4*i(y). Let f(x) = -x**2 + 6*x + 16. Let r(h) = 3*f(h) - 6*m(h). Factor r(o).
3*(o + 4)**2
Let v be (16/136 - 2/17)/3*-1. Factor v*n**2 + 0 - 5/6*n + 5/6*n**3.
5*n*(n - 1)*(n + 1)/6
Let a(k) be the second derivative of -k**7/14 - 3*k**6/10 - 9*k**5/20 - k**4/4 + k + 51. Factor a(d).
-3*d**2*(d + 1)**3
Let d be (8/2)/((-18)/(-27)). Suppose 3*a + 5*w = -20, -a + 3*w - 12 = d*w. Determine v so that 2*v**4 - 2*v**4 - 4*v**4 + 8*v**3 - 4*v**2 + a*v**2 = 0.
0, 1
Let d = 1343 + -1340. Let f(u) be the third derivative of -1/85*u**5 + 1/1020*u**6 + 0*u**d + 3/68*u**4 + 0*u + 0 + 7*u**2. Determine g, given that f(g) = 0.
0, 3
Let f(k) be the third derivative of -k**5/60 - k**4/12 + k**3/2 - 3*k**2 + 20. Factor f(i).
-(i - 1)*(i + 3)
Let 26*z + 15*z**3 - 24 + 18*z**3 + 15*z**3 - 4*z**2 - 49*z**3 + 3*z**2 = 0. What is z?
-6, 1, 4
Let q(g) be the second derivative of -2*g**7/21 - 2*g**6/5 - 3*g**5/5 - g**4/3 + 86*g. Factor q(c).
-4*c**2*(c + 1)**3
Let j(t) = 2*t**2 + 61*t - 12. Let g be j(-29). Let n = g + 102. Factor -8/3*w**2 - 1/3 + n*w**4 + 2*w - 2*w**3.
(w - 1)*(w + 1)*(3*w - 1)**2/3
Suppose 0 = 4*l + l - 20. Factor -l*r - 2*r**2 - 4*r + 4*r + 2*r.
-2*r*(r + 1)
Let h(i) be the second derivative of -1/270*i**5 + 8*i - 2*i**2 - 4/27*i**3 - 1/27*i**4 + 0. Let u(z) be the first derivative of h(z). Factor u(j).
-2*(j + 2)**2/9
Suppose -15*v - v**3 - 11*v**2 + 17*v - 20*v = 0. Calculate v.
-9, -2, 0
Let v(h) be the first derivative of h**5/90 - h**4/18 + 26*h - 25. Let u(r) be the first derivative of v(r). Factor u(k).
2*k**2*(k - 3)/9
Let g = 62 + -58. Let n be -2 - ((-1)/g - 2). Determine p, given that 3/4 + n*p**2 - p = 0.
1, 3
Let b(j) be the third derivative of 0*j - 4*j**2 + 0*j**3 + 2/315*j**7 - 1/40*j**6 + 0 + 1/90*j**5 + 0*j**4. Factor b(p).
p**2*(p - 2)*(4*p - 1)/3
Suppose -5*s = -0*s - 75. Factor -s + 17*o - o**2 - o**2 - 7*o + 7*o**2.
5*(o - 1)*(o + 3)
Let q be (-6)/(-14) + (-51)/119. Determine m, given that q*m**2 + 2/5*m + 0 - 2/5*m**3 = 0.
-1, 0, 1
Let b be (-2)/(-7 - (-4 + -1)). Let t(a) = -a**2 + 1. Let u(r) = 15*r**2 - 20*r - 20. Let l(i) = b*u(i) + 20*t(i). Determine y, given that l(y) = 0.
-4, 0
Find b such that 0*b + 0 - 19/7*b**3 - 1/7*b**4 + 6*b**2 = 0.
-21, 0, 2
Let v(x) be the third derivative of 0*x + 9*x**2 + 1/36*x**4 - 2/27*x**3 - 1/270*x**5 + 0. Factor v(d).
-2*(d - 2)*(d - 1)/9
Let l = -8360 + 25096/3. Determine c, given that -20/3 - l*c + 4/3*c**2 = 0.
-1, 5
Find b, given that 1/11*b**3 + 4/11*b**2 + 4/11*b + 0 = 0.
-2, 0
Factor 0 + 1/3*m**3 + 0*m - 1/3*m**4 + 2/3*m**2.
-m**2*(m - 2)*(m + 1)/3
Suppose y - 3 = -2*y. Let j = y - -1. Solve -3*s**2 + 3*s**3 + 3*s**4 + 3*s**5 + 6*s**2 - j*s**5 - 2*s**2 = 0.
-1, 0
Let b = -80 + 83. Let t(a) be the first derivative of -5 + 0*a - 2*a**b - 27/4*a**4 - 21/5*a**5 + 0*a**2. Factor t(w).
-3*w**2*(w + 1)*(7*w + 2)
Let h be 6/(-120)*12*-1. Suppose -1/5*t**2 - h + 4/5*t = 0. What is t?
1, 3
Let h(v) be the first derivative of 25*v**4/18 - 80*v**3/9 + 64*v**2/3 + 33*v - 13. Let l(f) be the first derivative of h(f). Factor l(y).
2*(5*y - 8)**2/3
Suppose -194 = 3*v + 598. Let u = -2372/9 - v. Find x such that -u + 2/3*x - 2/9*x**2 = 0.
1, 2
Let -12/11 - 32/11*p - 10/11*p**3 - 1/11*p**4 - 29/11*p**2 = 0. What is p?
-6, -2, -1
Let r(q) be the third derivative of -q**5/270 - q**4/108 + 4*q**3/9 + 3*q**2 - 16. Factor r(v).
-2*(v - 3)*(v + 4)/9
Let o(y) be the first derivative of -1/4*y**3 - 1/16*y**6 + 3/16*y**2 + 3/20*y**5 + 0*y - 3 + 0*y**4. Factor o(f).
-3*f*(f - 1)**3*(f + 1)/8
Factor 20*u**3 + 16*u**3 - 32*u**3 + 1468914 + 63948*u + 87154 + 876*u**2.
4*(u + 73)**3
Let a(c) be the third derivative of -c**7/1575 + 7*c**6/450 - 2*c**5/25 + 17*c**4/90 - 11*c**3/45 - 7*c**2 + 2*c. Factor a(z).
-2*(z - 11)*(z - 1)**3/15
Let c(g) = -5*g**2 - 10*g - 9. Let x(m) = -7*m**2 - 11*m - 10. Let u(r) = -6*c(r) + 4*x(r). Let n be u(-7). Factor n - 1/4*q**2 + 1/2*q.
-q*(q - 2)/4
Let y(a) = -a**3 - 13*a**2 + 29*a - 13. Let p be y(-15). Factor 2*r**5 + 0*r**3 - 255*r**2 + 255*r**2 - p*r**3.
2*r**3*(r - 1)*(r + 1)
Let f(z) be the first derivative of 2*z**5/15 + 13*z**4/18 + 8*z**3/9 - 4*z**2/3 - 32*z/9 - 8. Find g such that f(g) = 0.
-2, -4/3, 1
Factor 108*j + 35*j**2 + 56*j**3 + 13*j**2 - 59*j**3.
-3*j*(j - 18)*(j + 2)
Factor -y**2 - 112*y**3 + 160*y**2 + 10*y**4 + 202*y**2 + 11*y**2 + 50 - 320*y.
2*(y - 5)**2*(y - 1)*(5*y - 1)
Suppose 41*z = 42*z - 90. Let c = 90 - z. Factor -2*y**3 - 3/4*y**2 + 0 - 5/4*y**4 + c*y.
-y**2*(y + 1)*(5*y + 3)/4
Factor 217*j - 2155/8*j**2 - 25/8*j**3 - 87/2.
-(j + 87)*(5*j - 2)**2/8
Let 0 - 10*h**2 - 5*h**3 + 5/2*h**4 + 20*h = 0. Calculate h.
-2, 0, 2
Let f(s) be the third derivative of -s**11/166320 + s**9/30240 - s**5/4 - 7*s**2. Let b(q) be the third derivative of f(q). Solve b(l) = 0 for l.
-1, 0, 1
Let x(u) be the 