 = 526816 + -3687702/7. Factor 0 - 18/7*z**4 - f*z**2 + 4/7*z - 32/7*z**3.
-2*z*(z + 1)**2*(9*z - 2)/7
Suppose 30*i + 8 = 98. Find v, given that 49 + 16 - 180*v**2 + 5*v**5 + 62 - 3*v**3 - 37 + 90*v**4 - 7*v**i + 5*v = 0.
-18, -1, 1
Let y(x) be the second derivative of x**5/60 + 5*x**4/24 - 73*x**2/2 + 24*x - 1. Let m(r) be the first derivative of y(r). Determine j, given that m(j) = 0.
-5, 0
Find b such that -20 + 8*b**4 - 16*b - 41*b**2 - 2*b**4 + 16*b**3 + 65*b**2 + 0*b**4 - 10*b**4 = 0.
-1, 1, 5
Let g = 1103254/5 - 220606. Solve -128/5*z**4 + 26/5*z - 24*z**2 + g*z**3 - 2/5 = 0.
1/4, 1
Let a(m) be the third derivative of m**10/75600 + m**9/30240 - m**5/6 - 2*m**3/3 + 2*m**2. Let d(l) be the third derivative of a(l). Factor d(b).
2*b**3*(b + 1)
Suppose -16*g = -12*g - 16. Suppose -13*w + 24 = -7*w. Let -24*u - w*u**2 - 4*u**2 - 16 + 3*u**2 - g*u**2 = 0. What is u?
-4/3
Let m(k) = -11*k**3 + 2633*k**2 + 459371*k + 26796871. Let a(b) = 95*b**3 - 23695*b**2 - 4134340*b - 241171840. Let l(n) = 4*a(n) + 35*m(n). Factor l(s).
-5*(s + 175)**3
Let l(x) = 5*x**2 - 30*x + 15. Let q be 4/3 + 16/(-12) + 1. Let i(h) = 2*h. Let f(m) = q*l(m) + 5*i(m). Factor f(c).
5*(c - 3)*(c - 1)
Suppose -5*a + 176 = -9*a. Let j = a + 46. Factor -8 + 7*y + 3*y - 2*y - 2*y**j.
-2*(y - 2)**2
Let i be -3*2/(-12)*(3 - -17). Suppose -i*k - 21 + 5 - 5*k**2 + 0*k**2 + 11 = 0. Calculate k.
-1
Let h(b) be the second derivative of 1/2*b**2 + 148*b + 7/12*b**4 + 0 + 1/30*b**6 + 3/4*b**3 + 9/40*b**5. Factor h(g).
(g + 1)**2*(g + 2)*(2*g + 1)/2
Let x be 2/11 - 11/((-363)/36261). Let s = x + -23075/21. Find b, given that 2/21 + s*b + 2/21*b**2 = 0.
-1
Let l(t) be the first derivative of -t**3/21 + 87*t**2/14 - 86*t/7 - 5291. Factor l(z).
-(z - 86)*(z - 1)/7
Let s(a) = a**3 + 1. Let r be 16 - (6 + (-6 - -1)). Let k(q) = 15*q**4 - 9*q**3 - 15. Let u(z) = r*s(z) + k(z). Factor u(o).
3*o**3*(5*o + 2)
Let y(t) be the third derivative of -t**7/420 + t**6/12 - 37*t**5/30 + 10*t**4 - 48*t**3 + 1000*t**2. Factor y(r).
-(r - 6)**2*(r - 4)**2/2
Let o be ((-208)/(-8) - 15) + -9. Let b(u) be the second derivative of 0 - 4/5*u**5 - 17*u + 5/3*u**4 - 2/3*u**3 + 0*u**o. Suppose b(s) = 0. What is s?
0, 1/4, 1
What is k in -6*k**4 - 4407*k**3 - 72*k + 4383*k**3 + 100*k**2 + 2*k**4 = 0?
-9, 0, 1, 2
Factor -1/3*w**2 + 107/3*w + 36.
-(w - 108)*(w + 1)/3
Let g(t) be the third derivative of t**7/42 - t**6/8 - 3*t**5/4 + 115*t**4/24 - 10*t**3 + 1462*t**2. Determine l so that g(l) = 0.
-3, 1, 4
Let d(s) be the third derivative of -3/20*s**6 + 0*s**4 + 1/70*s**7 - 162*s**2 + 0*s + 0 + 2/5*s**5 + 0*s**3. Factor d(f).
3*f**2*(f - 4)*(f - 2)
Let h = -1423 + -190. Let y = h - -4840/3. Factor 16*b - 64/3 - 4*b**2 + y*b**3.
(b - 4)**3/3
Suppose -14*w - 1205 = -1205. Let a(v) be the first derivative of 8/27*v**3 + 0*v**2 - 9 - 4/27*v**6 + 34/45*v**5 - 10/9*v**4 + w*v. Factor a(i).
-2*i**2*(i - 2)**2*(4*i - 1)/9
Let w(b) be the second derivative of 1/150*b**6 - 2/15*b**3 + 1/50*b**5 + 4*b - 1/20*b**4 + 2/5*b**2 + 0. Factor w(o).
(o - 1)**2*(o + 2)**2/5
Let w(g) be the third derivative of g**5/210 + 1331*g**4/14 + 5314683*g**3/7 + 7*g**2 - 746. Solve w(t) = 0 for t.
-3993
Find c, given that -440/9*c**3 - 2/9*c**4 - 892/9*c + 1334/9*c**2 + 0 = 0.
-223, 0, 1, 2
Let k(p) = 3*p**3 + 153*p**2 - 977*p + 1491. Let m(n) = 4*n**3 + 150*n**2 - 975*n + 1494. Let r(f) = -6*k(f) + 4*m(f). Factor r(t).
-2*(t - 3)**2*(t + 165)
Let c(p) = 93*p**3 - 72*p**2 - 11*p + 2. Let m(k) = -k**3 - k**2 + 7*k + 1. Let f(d) = -c(d) + 2*m(d). Suppose f(g) = 0. Calculate g.
-5/19, 0, 1
Let h(k) be the first derivative of 2/15*k**3 + 0*k + 184 + 2/15*k**5 + 0*k**2 - 1/45*k**6 - 7/30*k**4. Let h(u) = 0. What is u?
0, 1, 3
Let o be (1891/1736)/61*16. Let o*c**2 + 4*c + 48/7 = 0. What is c?
-12, -2
Let f(w) = w**3 - 17*w**2 + 26*w - 2. Let d(m) = 3937*m**2 - 1 - 7882*m**2 + 3944*m**2. Let q(a) = 2*d(a) - f(a). Determine c so that q(c) = 0.
0, 2, 13
Find h, given that 8*h**2 + 117*h**4 - 4*h + 4*h**3 - 52*h**4 - 6 - 53*h**4 - 14*h**4 = 0.
-1, 1, 3
Find z, given that 1338248/11 + 3272/11*z + 2/11*z**2 = 0.
-818
Let h(x) be the first derivative of -x**5/4 + 3*x**4/4 + 27*x**3/10 + 27*x**2/10 + 36*x + 6. Let g(w) be the first derivative of h(w). Factor g(s).
-(s - 3)*(5*s + 3)**2/5
Let w = -144884 + 724456/5. Factor w*l - 324/5 - 1/5*l**2.
-(l - 18)**2/5
Suppose -214*h + 212*h = -32. Suppose -4*y + 8 = -r, 3*r - h = -0*r + 4*y. Factor -14/5*z**3 - r*z**2 - 58/5*z - 12/5.
-2*(z + 1)*(z + 3)*(7*z + 2)/5
Let o = 1455407 + -1455404. Factor -1/5*d**o - 1/5*d**4 + 16/5*d**2 + 0 - 4*d.
-d*(d - 2)**2*(d + 5)/5
Suppose 32 = 2*k - 20. Factor 44*d - 4*d**3 + k + 0 - 8*d + 10 - 4*d**2.
-4*(d - 3)*(d + 1)*(d + 3)
Determine v, given that 136/5*v**2 - 352/5*v + 256/5 + 4/5*v**3 + 1/5*v**5 - 2*v**4 = 0.
-4, 2, 8
Let t(a) = -a**3 - 8*a**2 + 2604*a + 15700. Let f be t(-6). Let -164/3*w - f*w**2 + 4/3*w**4 - 104/3 + 52/3*w**3 = 0. What is w?
-13, -1, 2
What is w in -410*w**3 + 26 - 487*w**3 - 199*w**4 + 496*w**3 - 26 + w**5 - 201*w**2 = 0?
-1, 0, 201
Factor -9012*b**2 + 464*b + 9016*b**2 + 2848 + 3884.
4*(b + 17)*(b + 99)
Let z(y) be the first derivative of -875*y**6/18 + 1145*y**5 + 555*y**4 - 3140*y**3/9 - 200*y**2 + 2152. Let z(w) = 0. What is w?
-2/5, 0, 3/7, 20
Let z(o) be the second derivative of -o**7/147 - o**6/21 + 12*o**5/35 - 2*o**4/21 - 32*o**3/21 + 348*o. Suppose z(u) = 0. Calculate u.
-8, -1, 0, 2
Let u(r) = 2*r**3 + 32*r**2 + 44*r + 709. Let y be u(-16). Factor -45/2*j**3 - 21/2*j**y + 3*j + 0 + 3/2*j**2 + 57/2*j**4.
-3*j*(j - 1)**3*(7*j + 2)/2
Let j(g) = 6186*g - 30928. Let y be j(5). Let 2/5*n**3 - 52/5*n - 10*n**y + 0 = 0. Calculate n.
-1, 0, 26
Let m(c) be the first derivative of -2*c**3/15 + 3356*c**2/5 - 5631368*c/5 + 5516. Solve m(u) = 0 for u.
1678
Let n(k) = k**3 - 8*k**2 - 61*k - 50. Let d = 70 - 57. Let q be n(d). Let -1/4 + 1/2*c - 1/4*c**q = 0. What is c?
1
Let r = -2 + 6. Let p be 0/(-2) + r*1/2. Factor -7*s + 24*s**p + 0*s - 18*s**2 + 2 - 1.
(s - 1)*(6*s - 1)
Let s be -13 + 22*(-420)/(-693). Find i such that -s + 1/3*i**2 + 0*i = 0.
-1, 1
Suppose -5*f - x = -5*x + 1, -5*x = -5*f - 5. Factor 262*s + 2*s**2 - 2 + 2*s**f - 264*s + 0.
2*(s - 1)*(s + 1)**2
Suppose 58*z - 60*z - 20 = -3*l, 10 = 3*l - 4*z. Factor 0 + 1/2*y**5 + l*y**2 + 9*y**3 + 4*y + 7/2*y**4.
y*(y + 1)*(y + 2)**3/2
Let r = -140 + 156. Let j be ((12/6)/r)/1. Determine f, given that 0 + 3/8*f - 1/4*f**4 - 1/2*f**3 + 1/4*f**2 + j*f**5 = 0.
-1, 0, 1, 3
Let v = 35 - 21. What is i in 12*i**3 - v + 78*i**2 - 4*i**5 - 70*i**2 + 14 = 0?
-1, 0, 2
Let l(i) be the first derivative of -i**3/18 + 73*i**2/3 - 10658*i/3 + 2030. Factor l(n).
-(n - 146)**2/6
Let o(x) be the second derivative of 0 + 1/28*x**4 - 98*x - 27/14*x**2 + 4/7*x**3. Let o(z) = 0. Calculate z.
-9, 1
Suppose 3*z + 2*r - 3622 = -2*r, 1208 = z + r. Let 302*b**2 - z + 343 - 102*b - 305*b**2 = 0. What is b?
-17
Suppose -42 = -4*q - 0*a - 3*a, -4 = -q - 4*a. Determine b, given that -3*b + 2978*b**4 - 14*b**5 + 18*b**3 - b**5 - q*b**2 - 2966*b**4 = 0.
-1, -1/5, 0, 1
Factor 4754535 + 3378*u + 3/5*u**2.
3*(u + 2815)**2/5
Let r = 99483 - 397895/4. Solve -w - 9/4*w**5 + 0 + 15/2*w**4 + 5*w**2 - r*w**3 = 0 for w.
0, 2/3, 1
Let q(j) be the second derivative of -j**5/20 + 37*j**4/2 - 280*j. Factor q(v).
-v**2*(v - 222)
Let b(v) be the first derivative of 0*v - 1/6*v**5 + 81 + 0*v**2 + 1/36*v**6 - 1/3*v**4 + 2/3*v**3. Factor b(d).
d**2*(d - 6)*(d - 1)*(d + 2)/6
Suppose -12*y + 7*y + 150 = 0. Let w = y - 9. Factor -21*k + w*k**3 + 2 + 11*k**4 - 14*k**4 + 20 - 15*k**2 - 4.
-3*(k - 6)*(k - 1)**2*(k + 1)
Let o(j) be the first derivative of -2/3*j**2 + 26/15*j**5 - 26/9*j**3 + 0*j - 17 + 1/3*j**4. Find d such that o(d) = 0.
-1, -2/13, 0, 1
Let s(m) = -8*m**4 - 62*m**3 + 253*m**2 - 399*m + 44. Let k(x) = -3*x**4 - 21*x**3 + 84*x**2 - 132*x + 16. Let a(h) = -11*k(h) + 4*s(h). Factor a(i).
i*(i - 9)*(i - 4)**2
Let h(v) = -2*v**3 - 17*v**2 + 22*v + 4. Let b be h(-10). Suppose 21*p - 109*p - 4*p**4 - 38 - 32*p**3 + 6 - b*p**2 = 0. Calculate p.
-4, -2, -1
Let x be 6*-1 + ((-81)/(-6) - (5 - (-26 + 24))). Factor 3*b**3 - 8*b + 6 + x*b**4 - 3/2*b**2.
(b - 1)**2*(b + 2)*(b + 6)/2
Let k be 290/29 - (2 + 1). Factor 16*r - 892*r**2 + 888*r**2 - 10*r + k*r