+ 5*b**2 + 5*b - 2. Let k be s(6). Let a = k - -11. Solve 16*m**a + 11*m - 9*m + 2*m**3 - 12*m**2 - 8*m**4 = 0 for m.
0, 1/4, 1
Suppose 4*p - 201 + 66 = -k, -2*p + 2*k + 80 = 0. Let i be (-2 - -7)*3/p. Suppose -6/7 - i*f**2 - 9/7*f = 0. What is f?
-2, -1
Find z such that -2*z**2 - 2*z**2 - z**3 + 607*z - 610*z = 0.
-3, -1, 0
Let n(p) = -p**5 + p**4 - p**2 + p + 2. Let l(x) = -12*x**5 - 3*x**4 - 15*x**3 - 15*x**2 + 9*x + 18. Let g(m) = l(m) - 9*n(m). What is s in g(s) = 0?
-2, -1, 0
Let q(h) be the first derivative of 4/9*h + 43 - 1/9*h**2 - 2/27*h**3. Suppose q(j) = 0. What is j?
-2, 1
Let v(l) be the third derivative of -l**8/1008 + l**6/360 + 41*l**2 + l. Factor v(i).
-i**3*(i - 1)*(i + 1)/3
Let n(k) be the second derivative of -k**6/40 - 3*k**5/40 + 29*k + 3. Let n(l) = 0. What is l?
-2, 0
Let v(n) be the third derivative of 19*n**2 + 0*n**5 + 0 - 1/30*n**6 + 0*n + 1/6*n**4 + 1/3*n**3 - 1/105*n**7. Factor v(t).
-2*(t - 1)*(t + 1)**3
Let c(l) be the second derivative of 2*l**6/105 - 4*l**5/35 + 32*l**3/21 - 32*l**2/7 - 11*l. Factor c(q).
4*(q - 2)**3*(q + 2)/7
Suppose -5 - 7 = -3*s. Solve -s*d**3 + 4*d**5 - 126*d**4 + 0*d**2 - 3*d**2 + 130*d**4 - d**2 = 0.
-1, 0, 1
Let g(d) be the first derivative of 5*d**3/3 + 150*d**2 + 295*d - 219. Solve g(p) = 0 for p.
-59, -1
Suppose 0*q - 4*h = -q - 12, 2*h = -4*q + 6. Let t be (q - -5)*16/40. Factor 0*b - 1/4*b**3 - 1/2*b**t + 0.
-b**2*(b + 2)/4
Let f = -40313 + 40315. Suppose 3/2*w**4 - 9/2*w**f + 3/2*w**3 - 15/2*w - 3 = 0. What is w?
-1, 2
Let a = -1/14021 + 42065/28042. Factor -2 + a*u + 1/2*u**2.
(u - 1)*(u + 4)/2
Suppose h = -2*d - 89, -3*d = 2*h + 2*h + 336. Let v be (4/6)/((-411)/h - 5). Determine n, given that -v*n**2 + 39/4*n**3 + 3/4*n**5 - 9/2*n**4 + 0 + 3*n = 0.
0, 1, 2
Let m(i) be the first derivative of -i**6/45 - 8*i**5/75 - 2*i**4/15 + 4*i**3/45 + i**2/3 + 4*i/15 - 69. Let m(q) = 0. Calculate q.
-2, -1, 1
Let z(m) = -6*m**2 - 2*m + 4. Let d(q) = -5*q**2 - q + 4. Suppose -3*h = b + 13, -5*h + b - 21 = 2*b. Let i(o) = h*d(o) + 3*z(o). Factor i(j).
2*(j - 2)*(j + 1)
Let n(f) = -3*f**2 - 6. Let q(p) = 3*p**2 + p + 7. Let r = -8 + 2. Let u be 6/(-5)*(1 + r). Let y(w) = u*q(w) + 7*n(w). Factor y(t).
-3*t*(t - 2)
Let v be (284/(-213))/(14/(-6)). Factor 2/7*u**3 - 6/7*u**2 + 2/7*u**4 + v - 2/7*u.
2*(u - 1)**2*(u + 1)*(u + 2)/7
Let q(u) = -3*u**2 + 49*u - 32. Let j(s) = 6*s**2 - 96*s + 63. Let b(x) = -2*j(x) - 5*q(x). What is y in b(y) = 0?
2/3, 17
Let g = -34349/30 + 1145. Let w(a) be the second derivative of 1/100*a**5 + 0*a**2 + g*a**4 + 0 + 1/30*a**3 + 3*a. Let w(y) = 0. What is y?
-1, 0
Let x(c) be the first derivative of c**5/30 - c**4/6 - 19*c**3/18 - 7*c**2/6 + 224. Suppose x(f) = 0. What is f?
-2, -1, 0, 7
Let t(x) be the second derivative of -x**8/5040 + x**7/315 - x**6/60 + 2*x**5/45 + 7*x**4/12 + 37*x. Let n(c) be the third derivative of t(c). Factor n(y).
-4*(y - 4)*(y - 1)**2/3
Suppose 2*n**4 - 7*n**3 + 4*n**4 - 3*n**4 + n**3 = 0. What is n?
0, 2
Let v be -13 - ((-1872)/(-12))/(-12). What is s in v + 0*s - 2/3*s**2 - 2/3*s**3 = 0?
-1, 0
Let b(o) be the third derivative of o**5/30 - o**4/2 - 88*o**2. Solve b(a) = 0 for a.
0, 6
Let v = -3518/3 - -1175. Suppose -3*u = -4*u + 3. Suppose 2/3*c**2 + v*c**5 + 0*c - 4*c**4 + c**u + 0 = 0. Calculate c.
-2/7, 0, 1
Determine h, given that -13*h - 2*h + 2*h**2 + 23 + 36 + h**3 - 95 = 0.
-3, 4
Let v be 0 + (2/(-4) - 121/(-22)). Suppose 8 = 5*y - y. Factor 2 + 12*n**4 - v + 0*n**3 - 9*n**y + 15*n - 7*n**3 - 8*n**3.
3*(n - 1)**2*(n + 1)*(4*n - 1)
Let u(o) be the second derivative of -o**5/160 - 59*o**4/96 + 5*o**3/4 - 42*o - 2. Factor u(g).
-g*(g - 1)*(g + 60)/8
Let s(r) be the third derivative of -r**8/336 - r**7/210 + r**6/120 + r**5/60 - 459*r**2. Determine h, given that s(h) = 0.
-1, 0, 1
Let q(z) be the third derivative of 3*z**2 + 3/70*z**7 + 0 + 1/2*z**3 + 3/5*z**5 + 0*z - 1/4*z**6 - 3/4*z**4. Suppose q(j) = 0. What is j?
1/3, 1
Find i, given that 1/6*i**4 + 3/2*i**3 - 13/6*i**2 + 2 - 4/3*i - 1/6*i**5 = 0.
-3, -1, 1, 2
Let p(i) = 4*i**2 - 10*i - 24. Let x be p(-7). Let o = 1214/5 - x. Find b such that 2/5*b**4 + 2/5*b**2 + 0*b + 0 - o*b**3 = 0.
0, 1
Let q(f) be the third derivative of -f**8/80640 - f**7/10080 + f**6/960 - f**5/60 + 11*f**2. Let p(t) be the third derivative of q(t). Factor p(o).
-(o - 1)*(o + 3)/4
Let q = -408 + 826. Determine h so that 7*h + 3*h + 488*h**3 - 45*h**2 + 10*h**5 - 45*h**4 - q*h**3 = 0.
0, 1/2, 1, 2
Factor -4913/7 - 10693/7*m - 103/7*m**3 - 2/7*m**4 - 255*m**2.
-(m + 17)**3*(2*m + 1)/7
Let c be ((-12)/(-21))/(9/36*44/33). Factor -c*b**2 - 18/7*b**3 + 0 - 12/7*b**4 - 3/7*b**5 - 3/7*b.
-3*b*(b + 1)**4/7
Let h(t) be the third derivative of -t**5/45 - 29*t**4/18 - 80*t**3/3 + 9*t**2 + 15*t. Factor h(u).
-4*(u + 5)*(u + 24)/3
Let x(q) be the third derivative of q**5/90 + 47*q**4/36 - 16*q**3/3 + 4*q**2 + 33*q. Factor x(v).
2*(v - 1)*(v + 48)/3
Let 0 - 1/4*l**2 - 21/4*l = 0. Calculate l.
-21, 0
Suppose -20*b + 141 = -39. Let g(v) be the second derivative of b*v + 0 - 4*v**2 - 1/3*v**4 + 2*v**3. Find t, given that g(t) = 0.
1, 2
Suppose -5*k - 4 = 2*x, -8 = 5*k + 4*x - 0. Let a = 4589 + -68833/15. Determine p so that 4/15*p + k + a*p**3 + 2/5*p**2 = 0.
-2, -1, 0
Let z(s) be the second derivative of -s**4/6 - 4*s**3 + 45*s**2 + 233*s. Factor z(l).
-2*(l - 3)*(l + 15)
Let g be ((-3)/(-5))/((-66)/(-22)). Factor 1/5*l**2 - 2/5 - 3/5*l**3 + g*l**4 + 3/5*l.
(l - 2)*(l - 1)**2*(l + 1)/5
Let d(a) be the third derivative of -a**5/60 + 7*a**4/4 - 41*a**3/6 + 2*a**2 + 117*a. Factor d(q).
-(q - 41)*(q - 1)
Let j(g) be the first derivative of -1/30*g**6 + 1/10*g**4 + 2/15*g**3 - 1/25*g**5 - 1/5*g - 6 - 1/10*g**2. Factor j(z).
-(z - 1)**2*(z + 1)**3/5
Let u(y) be the third derivative of -y**8/6720 + y**7/210 - y**6/15 - y**5/3 + 21*y**2. Let p(w) be the third derivative of u(w). Factor p(o).
-3*(o - 4)**2
Let w(l) be the first derivative of 4 - 3/4*l + 9/8*l**2 + 3/16*l**4 - 3/4*l**3. Factor w(c).
3*(c - 1)**3/4
Let i(s) be the first derivative of 9/4*s - 1/20*s**5 - 3/4*s**2 - 2/3*s**3 + 3/8*s**4 + 8. Factor i(j).
-(j - 3)**2*(j - 1)*(j + 1)/4
Suppose -10 = -67*w + 191. Factor -11/2*k**3 + 6*k - 1/2*k**5 - k**2 - w*k**4 + 4.
-(k - 1)*(k + 1)*(k + 2)**3/2
Let b = 87749/146240 - 1/29248. Let 0 + b*m**2 - 12/5*m = 0. What is m?
0, 4
Let p(b) = -265*b**4 - 90*b**3 - 100*b**2 - 55*b - 55. Let m(k) = 29*k**4 + 10*k**3 + 11*k**2 + 6*k + 6. Let s(u) = 55*m(u) + 6*p(u). Factor s(i).
5*i**2*(i + 1)**2
Let t(i) be the first derivative of 2*i**3/9 - 2*i**2 - 14*i/3 - 139. Factor t(z).
2*(z - 7)*(z + 1)/3
Let -15*u + 3*u + 23*u**2 + u**2 - 20*u**2 + 12*u**3 - 4*u**4 = 0. What is u?
-1, 0, 1, 3
Let j be -3 - ((-2387)/62 + 30 + 4 + 0). Let 0*p**2 + 3*p + j - 3*p**3 - 3/2*p**4 = 0. Calculate p.
-1, 1
Suppose 0 = -5*h - d + 25, -25 = -3*d - 2*d. Let k = h - -13. Factor -q**3 + 2*q**2 + 17*q - k*q.
-q**2*(q - 2)
Let j(v) be the third derivative of -v**7/1575 + v**6/900 + v**5/90 + v**4/60 - 24*v**2. Factor j(g).
-2*g*(g - 3)*(g + 1)**2/15
Let n be 5/(-5)*181 - -1. Let h be 0/((-3)/5*n/54). Factor h*o + 1/2*o**2 + 0.
o**2/2
Let r be 5480/3850 - (-4)/14. Let u = r + 2/385. Determine o, given that 8/7 + 4/7*o**2 + u*o = 0.
-2, -1
Let j = -341736/7 + 48354. Let d = -464 - j. What is h in 0*h - 4/7*h**2 + 0 + 2/7*h**5 - 8/7*h**4 + d*h**3 = 0?
0, 1, 2
Let t(v) be the second derivative of v**5/50 - 2*v**4/5 + 7*v**3/5 - 2*v**2 - 74*v. Factor t(o).
2*(o - 10)*(o - 1)**2/5
Let f(k) be the first derivative of -4*k**5/5 - 16*k**4 - 116*k**3/3 - 28*k**2 - 135. Find n, given that f(n) = 0.
-14, -1, 0
Suppose 12 = 2*j - 5*s - 1, 8 = j - s. Suppose j = -5*w + 29. Factor 0*k**5 - 5*k**w + 2*k**3 - 2*k**5 - 2*k**2 + 7*k**4.
-2*k**2*(k - 1)**2*(k + 1)
Let m(l) be the first derivative of -l**7/630 - l**6/180 - 6*l**2 + 10. Let o(p) be the second derivative of m(p). Factor o(f).
-f**3*(f + 2)/3
Factor -2*q + 2/5*q**2 + 0 - 2/5*q**4 + 2*q**3.
-2*q*(q - 5)*(q - 1)*(q + 1)/5
Let u(a) be the second derivative of 3*a + 0 - 2/3*a**3 - 1/3*a**4 + 4*a**2. Suppose u(z) = 0. What is z?
-2, 1
Let n = -175 - -175. Let a(o) be the second derivative of -7/48*o**4 + 1/20*o**6 + 1/8*o**2 + 1/24*o**3 + 4*o + n - 1/80*o**5. Find r such that a(r) = 0.
-1, -1/3, 1/2, 1
Suppose 4*w