+ 0 - 1/180*r**6. Factor v(u).
(u - 1)**3*(u + 1)**2/6
Let d(x) = 43*x**4 + 25*x**3 - 110*x**2 + 38*x. Let n(a) = -85*a**4 - 50*a**3 + 220*a**2 - 75*a. Let m(z) = -5*d(z) - 2*n(z). Suppose m(b) = 0. What is b?
-2, 0, 4/9, 1
Factor -8*i**2 + 58*i - 8*i**2 - 2*i**4 - 66*i - 33*i**3 + 23*i**3.
-2*i*(i + 1)*(i + 2)**2
Let p(v) be the first derivative of 2/3*v**3 - 1/8*v**4 - 26 + 1/6*v**6 - 1/4*v - 7/20*v**5 - 1/4*v**2. Suppose p(t) = 0. Calculate t.
-1, -1/4, 1
Factor 43*b - 3*b**2 - 32*b - 93 - 47*b - 16*b - 44*b.
-3*(b + 1)*(b + 31)
Let p = 2119 - 19063/9. Find z, given that 0 - p*z**2 - 4/9*z - 4/9*z**3 = 0.
-1, 0
Let z(b) be the second derivative of -b**4/3 + 8*b**3 - 70*b**2 + 389*b - 1. Find j such that z(j) = 0.
5, 7
Let p(t) = 4*t**3 + 26*t**2 - 46*t + 22. Let c(u) = u**2 + u - 1. Let f(a) = 6*c(a) - p(a). Factor f(j).
-4*(j - 1)**2*(j + 7)
Determine u, given that -4/5*u**3 - 4/5*u**4 - 16/5*u - 64/5 + 48/5*u**2 = 0.
-4, -1, 2
Suppose 4*k + 484 = 484. Let 0*z**2 + 0*z**4 + k*z + 0 + 0*z**3 - 1/4*z**5 = 0. What is z?
0
Factor -2454*c + 2454*c + 4*c**5 + 28*c**4 - 4*c**3 - 28*c**2.
4*c**2*(c - 1)*(c + 1)*(c + 7)
Let s(j) = -5*j**2 + 350*j + 6. Let w be s(70). Factor w*m**4 - 32/3 + 104/3*m**3 + 64*m**2 + 32*m.
2*(m + 2)**3*(9*m - 2)/3
Let h(b) = -b**4 + 10*b**3 + 16*b**2 + 8*b - 6. Let k(u) = 2*u**4 - 10*u**3 - 16*u**2 - 8*u + 8. Let t(n) = -4*h(n) - 3*k(n). Let t(p) = 0. What is p?
-2, -1, 0
Let m(k) be the second derivative of -k**5/30 + k**4/6 + 45*k. Factor m(l).
-2*l**2*(l - 3)/3
Let v = -14/61 - -103/183. Let d(x) be the first derivative of 2*x**2 + 3*x + 1 + v*x**3. What is h in d(h) = 0?
-3, -1
Let d(p) be the third derivative of -p**6/600 - p**5/50 + 16*p**3/15 - 52*p**2. Suppose d(i) = 0. What is i?
-4, 2
Let k(t) = -18*t - 126. Let g be k(-7). Factor -4/5*a**4 + 1/5*a**5 + 3/5*a**3 + 0*a**2 + g*a + 0.
a**3*(a - 3)*(a - 1)/5
Let w = 8 - 6. Let s(q) be the third derivative of -2/15*q**3 - q**w + 1/20*q**4 - 1/150*q**5 + 0 + 0*q. Factor s(h).
-2*(h - 2)*(h - 1)/5
Let m(r) = -5*r**3 - 340*r**2 - 415*r - 40. Let z(k) = -k**2 + 3*k + 2. Let x(w) = m(w) + 20*z(w). Find b, given that x(b) = 0.
-71, -1, 0
Let o(w) be the first derivative of -w**3/12 - 13*w**2/8 - 10*w - 872. Factor o(i).
-(i + 5)*(i + 8)/4
Let w(g) be the first derivative of -2/15*g**6 - 2/5*g**2 + 0*g**5 + 0*g**3 + 2/5*g**4 + 17 + 0*g. Solve w(m) = 0.
-1, 0, 1
Let u(k) = -k**2 - 17*k - 12. Let h be u(-16). Suppose b + b = h. What is d in d**4 + 4*d**3 + d**2 - 6*d**b - 2*d**4 + 2*d = 0?
0, 1, 2
Suppose 121*f**3 - 1914*f**5 - 5*f**4 + 1915*f**5 - 17*f**4 = 0. Calculate f.
0, 11
Let g = -30226 - -1208943/40. Let t = 21/8 + g. Determine o, given that 2/5 - t*o**2 - 1/5*o**4 - 3/5*o**3 + 3/5*o = 0.
-2, -1, 1
Suppose 48 - 48 = -3*g. Let o(q) be the second derivative of 1/120*q**5 + 1/72*q**4 + 2*q + g + 0*q**3 + 0*q**2. Determine c so that o(c) = 0.
-1, 0
Let u = 79 - 56. Let x = 25 - u. Factor 5*f**3 + 2*f + 5*f**4 + f**x - 7*f - 6*f**2.
5*f*(f - 1)*(f + 1)**2
Let x be 1 - (-105)/(-156) - (-24)/(-312). Suppose x - 1/4*i + 1/2*i**3 - 1/2*i**2 - 1/4*i**5 + 1/4*i**4 = 0. Calculate i.
-1, 1
Let y(f) = -f**3 - 5*f**2 - 4*f. Let j be y(-4). Suppose 0 = 2*k + 8, n + 4*n + 5*k = j. Let -3*r**3 - n*r**2 + 5*r**2 + 3*r**2 + 0*r**2 - r = 0. Calculate r.
0, 1/3, 1
Let t be -2 + (-2 - -9) - (-340)/(-70). Factor p**2 - 6/7*p + 0*p**3 + 0 - t*p**4.
-p*(p - 2)*(p - 1)*(p + 3)/7
Solve 4*r**2 + 3*r**4 - 5*r**3 + 7*r**4 - 17*r**4 + 2*r**4 + 6*r**2 = 0.
-2, 0, 1
Let s(a) = -3*a**2 + a**2 - 10*a + 15*a + 7*a**2. Let j(y) = 3*y**2 + 8*y**2 + 46 - 45 + 10*y. Let n(c) = -2*j(c) + 5*s(c). Determine d, given that n(d) = 0.
-2, 1/3
Let a(f) be the second derivative of 3/2*f**3 + 0 + 15*f + 3*f**2 + 1/4*f**4. Factor a(u).
3*(u + 1)*(u + 2)
Find l such that 12*l**3 + l**3 + 7803 - 6*l**3 - 10*l**3 + 309*l**2 - 8109*l = 0.
1, 51
Find g, given that 3*g**5 + 0 - 45/4*g**3 - 3*g + 15*g**2 - 15/4*g**4 = 0.
-2, 0, 1/4, 1, 2
Let b(c) be the first derivative of -21/8*c**2 + 0*c + 1/4*c**3 + 33. Factor b(i).
3*i*(i - 7)/4
Let v(g) be the first derivative of -3 - 44/3*g**3 - 4*g**4 - 10*g**2 + 8*g. Solve v(a) = 0.
-2, -1, 1/4
Suppose 5*h = -3*l + 20, -l + 3*h - 12 = -3*l. Suppose 3*v + 2 - 8 = l. Determine p so that -42*p**2 + 8*p**3 + 51*p - 11*p + 8*p**v - 8 = 0.
1/4, 2
Let d = -1146 + 1151. Let q(t) be the first derivative of 4/5*t**d + 16*t - 8*t**2 + 2*t**4 - 4*t**3 - 2. Find l, given that q(l) = 0.
-2, 1
Let s(u) be the first derivative of -u**4/6 + 5*u**3/3 + 6*u**2 - 2*u - 24. Let m(b) be the first derivative of s(b). Find r, given that m(r) = 0.
-1, 6
Let n = 377/14 + -185/7. Suppose 1/4*w + 1/2 - 1/4*w**3 - n*w**2 = 0. Calculate w.
-2, -1, 1
Let b(g) = -g**2 - g + 8. Let r be b(5). Let w(q) = -15*q**2 + 8*q + 23. Let s(t) = -4*t**2 + 2*t + 6. Let z(p) = r*s(p) + 6*w(p). Factor z(l).
-2*(l - 3)*(l + 1)
Let h(l) be the first derivative of 5*l**3/3 + 15*l**2 + 25*l - 13. Factor h(z).
5*(z + 1)*(z + 5)
Suppose 2*g + 5 = 3*w - 12, -w - 2*g - 5 = 0. Let 30*a**w + 130*a - 134*a**2 + 2*a**4 + 14*a**2 + 3*a**4 - 45 = 0. What is a?
-9, 1
Let z(h) be the second derivative of -1/2*h**3 - 1/12*h**4 + 0 + 0*h**2 + 9*h. Factor z(k).
-k*(k + 3)
Let d(h) be the first derivative of -2*h**3/3 - 7*h**2 + 16*h + 18. Factor d(p).
-2*(p - 1)*(p + 8)
Factor 8/5*b - 24/5 + 2/5*b**2.
2*(b - 2)*(b + 6)/5
Let a = -6 - -9. Let o be 160/76 - (-4 - (-78)/19). Let -4/5*g - 2/5*g**a + 0 - 6/5*g**o = 0. Calculate g.
-2, -1, 0
Let l(v) be the second derivative of -v**7/273 + 2*v**6/195 + 9*v**5/130 - v**4/39 - 8*v**3/39 + 45*v. Determine a so that l(a) = 0.
-2, -1, 0, 1, 4
Let i(n) be the first derivative of -4*n**5/5 + 4*n**3 + 4*n**2 - 336. Factor i(a).
-4*a*(a - 2)*(a + 1)**2
Let a(l) = 2*l**3 + l - 2. Let o(r) = -23*r**3 + 16*r**2 - 12*r + 18. Let g(q) = -9*a(q) - o(q). Factor g(p).
p*(p - 3)*(5*p - 1)
Let x(m) be the first derivative of 1/3*m**3 + 21 + 1/24*m**4 + 0*m + 3/4*m**2. What is n in x(n) = 0?
-3, 0
Let q = 5 + -3. Factor -10*p + 2*p**q + 2 + p**3 - 12 - 3*p**2 + 2.
(p - 4)*(p + 1)*(p + 2)
Let i(j) be the second derivative of j**7/42 - j**6/6 + 7*j**5/20 - j**4/4 - 16*j - 2. Factor i(b).
b**2*(b - 3)*(b - 1)**2
Let v be (4/24 - (-9)/(-135))/2. Let p(b) be the second derivative of -1/6*b**2 - 6*b - 7/36*b**4 + v*b**5 + 5/18*b**3 + 0. Factor p(r).
(r - 1)**2*(3*r - 1)/3
Let q(o) be the second derivative of -o**5/230 - 16*o**4/69 - 29*o**3/69 + 62*o**2/23 - 741*o. Solve q(l) = 0 for l.
-31, -2, 1
Let q(m) be the second derivative of -4*m**5/35 - m**4/7 + 14*m**3/3 - 24*m**2/7 + 27*m. Factor q(y).
-4*(y - 3)*(y + 4)*(4*y - 1)/7
Let k = 51 + -46. Suppose n - 3 = -4*v, 2*n = -5*v + k + 1. Factor 0*x - 4*x**3 + 10*x**4 + v + 2/5*x**2.
2*x**2*(5*x - 1)**2/5
Let k(o) = -4*o**5 - 2*o**4 + 3. Suppose -l - 5*l - 36 = 0. Let q(w) = 23*w**5 + 12*w**4 - 17. Let y(v) = l*q(v) - 34*k(v). Find i such that y(i) = 0.
-2, 0
Solve 2*n**3 - 95*n**2 + n**3 + 187*n - 960 + 2*n**3 + 373*n = 0 for n.
3, 8
Let h be 144/60 + 2398/(-1045). Determine w so that 6/19*w + h*w**3 - 4/19 - 6/19*w**4 + 18/19*w**2 = 0.
-1, 1/3, 2
Let k be 4*1 + -2 + 0. Let s = -1008 - -5066/5. Factor 76/5*x**3 + 64/5*x**2 + s*x + k*x**5 + 4/5 + 44/5*x**4.
2*(x + 1)**4*(5*x + 2)/5
Determine y, given that 15*y**2 - 1 + 3*y**3 + 11 + 0*y**2 + 21*y - 1 = 0.
-3, -1
Suppose -6/7*r**2 + 8/7*r**4 - 2*r + 16/7*r**3 - 4/7 = 0. What is r?
-2, -1/2, 1
Suppose 252*q = 248*q. Factor 0 - 2/17*a**2 + q*a.
-2*a**2/17
Let b = -6/349 - -824/7329. Let s(q) be the third derivative of -11/42*q**4 + 121/420*q**5 - q**2 + b*q**3 + 0*q + 0. What is x in s(x) = 0?
2/11
Let v(m) be the first derivative of -19 + 17/25*m**5 - 2/3*m**6 + 0*m**2 + 1/4*m**4 + 0*m - 2/15*m**3. Solve v(s) = 0.
-2/5, 0, 1/4, 1
Let q = 293 + -583/2. Let a(h) be the second derivative of -1/8*h**4 - 27/4*h**2 + q*h**3 + 2*h + 0. What is v in a(v) = 0?
3
Let q(u) = -7*u**2 - 5*u + 2. Let n be q(-2). Let k be -4 + 3 - n/12. What is h in 1/3*h**5 + 0*h**3 - k*h + 2/3*h**2 + 0 - 2/3*h**4 = 0?
-1, 0, 1
Suppose x + 2*k - 6*k - 196 = 0, 3*x - 537 = -5*k. Let j = -182 + x. Find t, given that 0 + 39/5*t**j - 6/5*t - 12*t**3 = 0.
0, 1/4, 2/5
Let a(b) be the third derivative of 0 + 16/135*b**5 + 0*b - 2/189*b**7 + 0*b**4 + 0*b**3 + b**2 