o(u) = 4*u**3 + 170*u**2 - 1810*u + 6010. Let w(g) = -10*b(g) + 3*o(g). Find r such that w(r) = 0.
10
Suppose -5*o - 51 = -181. Let u be 5*(o/(-10) + 1). Let c(q) = -13*q**2 - 32*q - 37. Let f(k) = 20*k**2 + 48*k + 56. Let s(d) = u*c(d) - 5*f(d). Factor s(h).
4*(h + 2)**2
Factor 0*s - 16/5*s**3 + 0 - 2/5*s**5 + 2*s**4 + 8/5*s**2.
-2*s**2*(s - 2)**2*(s - 1)/5
Let u(p) be the second derivative of 1/45*p**5 + 0 + 0*p**2 + 6*p + 1/135*p**6 - 1/54*p**4 - 2/27*p**3. Factor u(z).
2*z*(z - 1)*(z + 1)*(z + 2)/9
Let b = -20 + 33. Let j(v) = v - 13. Let i be j(b). Factor -4*h**3 - 3*h**2 + i + 0 - 3*h + 4*h.
-h*(h + 1)*(4*h - 1)
Suppose 0 = 10*l - 260 + 230. Factor 14/9*a**2 + 10/9*a**4 + 0 + 2*a**l + 2/9*a**5 + 4/9*a.
2*a*(a + 1)**3*(a + 2)/9
Let z(k) be the first derivative of k**7/42 - k**6/24 - k**5/6 - 5*k**2/2 - 11. Let b(r) be the second derivative of z(r). Find o, given that b(o) = 0.
-1, 0, 2
Let h(b) = b**3 - 13*b**2 - 30*b + 2. Let x be h(15). Determine o, given that 2*o**5 + 16*o**3 + 826*o**2 + 6*o**4 - 818*o**x + 4*o**4 = 0.
-2, -1, 0
Suppose -2*m + 23 = 4*x + 15, -m = -3*x + 6. Let h(o) be the second derivative of -3/2*o**2 - 3/2*o**3 + x*o - 3/20*o**5 + 0 - 3/4*o**4. Factor h(q).
-3*(q + 1)**3
Let i(b) = -2*b**3 - 10*b**2 + 8*b - 2. Let f = -36 + 58. Let j(x) = 10*x**3 + 51*x**2 - 39*x + 11. Let s(t) = f*i(t) + 4*j(t). Factor s(n).
-4*n*(n - 1)*(n + 5)
Let d(w) be the first derivative of -1/6*w**4 + 0*w - 13 + 0*w**2 + 2/3*w**3. Determine i, given that d(i) = 0.
0, 3
Suppose -f - 4 = 4*j, 3*j - 4*f - 7 - 9 = 0. Factor 3/8*q**5 + 3/8*q**4 + 0*q + 0 + j*q**3 + 0*q**2.
3*q**4*(q + 1)/8
Factor 2/3*i**3 + 104/3 - 152/3*i + 46/3*i**2.
2*(i - 2)*(i - 1)*(i + 26)/3
Factor 8/7 + 100/7*f - 52/7*f**2.
-4*(f - 2)*(13*f + 1)/7
Let d be (-2200)/(-1540) - (-4)/7. Factor 0 + 4/3*p**d + p.
p*(4*p + 3)/3
Let y = -835 - -837. Find m such that 4/9 - 2*m**y + 14/9*m = 0.
-2/9, 1
Let k(a) be the first derivative of -3/2*a**2 + 1/5*a**3 - 12 + 9/5*a + 3/20*a**4. Suppose k(m) = 0. Calculate m.
-3, 1
Let 14*j**2 + 8*j - 26*j**2 + 2*j**4 + 4*j**2 - 2*j**3 = 0. Calculate j.
-2, 0, 1, 2
Let p(l) = -65*l**3 - 65*l**2 - 305*l - 540. Let a(m) = -7*m**3 - 7*m**2 - 34*m - 60. Let f(g) = -55*a(g) + 6*p(g). Determine s so that f(s) = 0.
-2, 3
Let a(p) be the third derivative of 3/20*p**5 + 0 + 0*p - 2*p**3 - 1/2*p**4 + 9*p**2. What is v in a(v) = 0?
-2/3, 2
Let j(n) be the first derivative of 47/8*n**4 - 32*n**2 - 16*n + 30 - 7/10*n**5 - 7*n**3. Solve j(d) = 0 for d.
-1, -2/7, 4
Let f = 160 + -798/5. Let o be (3 + 40/(-12))*0. Let o - f*i**2 - 4/5*i = 0. What is i?
-2, 0
Let s(q) be the third derivative of 0 - 1/420*q**7 - 1/18*q**5 + 0*q - 1/18*q**4 + 0*q**3 - 7/360*q**6 - q**2. What is x in s(x) = 0?
-2, -2/3, 0
Let c(k) be the third derivative of k**8/8960 + k**7/840 + k**6/320 + 5*k**4/4 - 14*k**2. Let n(g) be the second derivative of c(g). Solve n(b) = 0.
-3, -1, 0
Let v(j) be the first derivative of -5*j**4 + 232*j**3/3 - 62*j**2 - 88*j - 54. Let v(u) = 0. What is u?
-2/5, 1, 11
Let c(b) be the third derivative of 1/40*b**6 + 0*b - 1/20*b**5 - 5*b**2 + 0*b**3 + 0 + 0*b**4. Factor c(m).
3*m**2*(m - 1)
Let w be (0 - (-44)/66)/(11/6). Factor -2/11*o**2 + 4/11*o**3 + 2/11*o**4 - w*o + 0.
2*o*(o - 1)*(o + 1)*(o + 2)/11
Suppose -89*i + 147*i - 348 = -116*i. Factor -4/5*t**i + 16/5*t + 4.
-4*(t - 5)*(t + 1)/5
Let o = 8 - 5. Let x = -70 + 71. What is f in -10*f**2 - x + 11/2*f + 6*f**o = 0?
1/2, 2/3
Let f(t) be the third derivative of 9*t**2 + 0 - 1/3*t**4 + 0*t + 1/15*t**5 + 0*t**3. Factor f(y).
4*y*(y - 2)
Let g = -9958 + 19917/2. Factor 1/4*s**2 + 1/4 - g*s.
(s - 1)**2/4
Let r be (-3)/15 - (-297)/(-15). Let c be (r/40)/((-1)/12). Let c - 3*t**2 - 1 - 2 = 0. What is t?
-1, 1
Let d(q) be the third derivative of -q**6/200 - q**5/10 - 17*q**4/40 - 4*q**3/5 - 9*q**2 - 8. Let d(l) = 0. What is l?
-8, -1
Let u(k) be the second derivative of 1/10*k**4 - 28*k + 0*k**2 - 9/70*k**7 + 0 - 3/100*k**5 + 0*k**3 - 6/25*k**6. Suppose u(s) = 0. Calculate s.
-1, -2/3, 0, 1/3
Let c(x) be the first derivative of 5 + 0*x - 2/33*x**3 + 1/11*x**4 + 0*x**2 - 2/55*x**5. Let c(a) = 0. Calculate a.
0, 1
Determine y, given that -26*y - 11*y + 4*y**2 - 179*y + 2916 = 0.
27
Let s(r) be the third derivative of -1/40*r**5 + 1/70*r**7 + 1/40*r**6 - 1/4*r**3 + 0 - 17*r**2 - 5/32*r**4 + 1/448*r**8 + 0*r. Suppose s(z) = 0. Calculate z.
-2, -1, 1
Let j(z) be the third derivative of 19/120*z**5 + 0*z + 1/3*z**3 + 1/105*z**7 + 1/1344*z**8 + 0 + 5/96*z**6 + 7/24*z**4 + z**2. Suppose j(p) = 0. What is p?
-2, -1
Let t(a) be the second derivative of -5*a**4/12 - 6*a + 5. Factor t(k).
-5*k**2
Let y = -14623/2 + 7316. Factor -3*l + y - 3/2*l**2.
-3*(l - 1)*(l + 3)/2
Factor 39 - 43 - 2*i + 2*i**3 + 0*i**2 + 4*i**2.
2*(i - 1)*(i + 1)*(i + 2)
Let m(s) = -2*s**2 - 1. Let l(j) = 24*j**2 + 57*j + 69. Let z(g) = l(g) + 6*m(g). Suppose z(n) = 0. Calculate n.
-3, -7/4
Let q = 6 + -3. Suppose 88*z - 320 - 166 + 134 = 0. What is c in 2 - 3/2*c**z - q*c + 1/4*c**5 + 11/4*c**3 - 1/2*c**2 = 0?
-1, 1, 2
Let g(z) be the third derivative of -z**7/14 - 11*z**6/30 + z**5 - 2*z**4/3 - 7*z**2 - z. Suppose g(u) = 0. What is u?
-4, 0, 2/5, 2/3
Let q = -39 + 42. Factor -8 + 24*h - q*h**4 - 1 + 3*h**3 + 5*h**3 + 2*h**4 - 22*h**2.
-(h - 3)**2*(h - 1)**2
Factor -98/9*v + 100/9 - 2/9*v**2.
-2*(v - 1)*(v + 50)/9
Let s(n) be the first derivative of 55*n**3/3 + 35*n**2 - 80*n + 699. Factor s(j).
5*(j + 2)*(11*j - 8)
Suppose 4*c - 11 = -3, 2*c = -3*t + 22. Let q(i) be the third derivative of 0*i + 0*i**3 - 1/15*i**5 - 1/30*i**t - 5*i**2 + 0 + 1/3*i**4. Factor q(l).
-4*l*(l - 1)*(l + 2)
Let c(k) be the first derivative of k**7/147 - 2*k**5/35 - k**4/21 + k**3/7 + 2*k**2/7 + 15*k - 38. Let a(l) be the first derivative of c(l). Factor a(u).
2*(u - 2)*(u - 1)*(u + 1)**3/7
Let u(x) be the second derivative of x**6/150 + 9*x**5/100 + x**4/3 - 70*x. Find f, given that u(f) = 0.
-5, -4, 0
Let o(s) be the third derivative of s**5/30 + 5*s**4/12 - 6*s**2. Factor o(b).
2*b*(b + 5)
Let v = -307 + 1539/5. What is c in 12/5*c**2 + v*c**3 + 12/5*c + 4/5 = 0?
-1
Suppose 0 = -6*v + 7*v - 5, 4*s - 5*v = -37. Let g be 6/(-10)*s*18/18. Factor 1/5 - g*o**2 + 0*o.
-(3*o - 1)*(3*o + 1)/5
Let r be (8/(-3))/((-40)/60). Suppose r*p = -p + 45. Determine q so that 2 + p*q**3 - 10*q + q**2 + 4*q**2 + q - 7*q**4 = 0.
-1, 2/7, 1
Let m = -81 + 95. Factor 13 + 3*q**4 - 27 - 3*q**3 + m.
3*q**3*(q - 1)
Let r(y) = -y**2 - 3*y + 2. Let u be r(0). Factor g**3 + 9*g - 3*g**4 + 6 - 3*g**u + 0 - 10*g**3.
-3*(g - 1)*(g + 1)**2*(g + 2)
Let n be ((0/(-4))/(8 + -6))/(-2). Find l such that n*l**2 - 1/4*l**4 + 0 + 0*l - 1/4*l**3 = 0.
-1, 0
Factor -70*l**3 + 8 + 12 + 5*l**4 + 5 - 95*l + 5*l**5 + 130*l**2.
5*(l - 1)**4*(l + 5)
Let i(h) = -h**3 + 4*h**2 - h - 2. Let u = -5 - -8. Let m be i(u). Solve 5*x**4 + 4*x - 4*x**3 - 3*x**m + 3 - 5 = 0.
-1, 1
Let g(x) be the first derivative of -x**6/48 - 3*x**5/40 - 3*x**4/32 - x**3/24 - 42. Suppose g(w) = 0. What is w?
-1, 0
Let g(w) be the third derivative of w**6/120 - 11*w**5/40 + 5*w**4/4 - 3*w**3 - 45*w**2. Let x(p) be the first derivative of g(p). Factor x(y).
3*(y - 10)*(y - 1)
Factor -1688 - q**2 + 1688 - q**3.
-q**2*(q + 1)
Let b(r) = r**3 + r**2 + 2. Let d(o) = 20*o**3 + 8. Let w(n) = 4*b(n) - d(n). Factor w(p).
-4*p**2*(4*p - 1)
Let f(k) = -14*k**3 + 6*k**2 + 6*k + 6. Let a(i) = -i**3 + i + 1. Suppose -9*q + 8 = -q. Let n(h) = q*f(h) - 6*a(h). Suppose n(c) = 0. Calculate c.
0, 3/4
Let d(t) = -3*t**4 + 9*t**3 - t**2. Let c(b) = 4*b**4 - 10*b**3. Let h(u) = 5*c(u) + 6*d(u). Find p such that h(p) = 0.
-3, 0, 1
Let -15*n**2 + 105 + 18*n**2 + 0*n**2 - 20*n - 8*n**2 = 0. Calculate n.
-7, 3
Let p = 14 + -18. Let j = p - -7. Factor -3 + 4*b**3 - j*b + 6*b**2 - b**3 - 3*b**2.
3*(b - 1)*(b + 1)**2
Let s(a) = -7*a**2 - 32*a - 47. Let b(j) = 50*j**2 + 225*j + 330. Let w(h) = 2*b(h) + 15*s(h). Find d, given that w(d) = 0.
-3
Let q(l) be the third derivative of -l**6/660 - 7*l**5/330 - 5*l**4/66 + 157*l**2. Factor q(t).
-2*t*(t + 2)*(t + 5)/11
Let a be ((13 - 4)/3)/((-27)/(-3)). Factor 2/3*o - 2/3*o**3 + 1 - 4/3*o**2 + a*o**4.
(o - 3)*(o - 1)*(o + 1)**2/3
Factor -r - 5/8*r**2 - 1/8*r**3 - 1/2.
-(r + 1)*(r + 2)**2/8
Let i(d) be the first derivative of -d*