2 - 10/17*w + 2/17*w**3 - 4/17 + d*w**4 = 0.
-1, 2
Suppose 5*y = -k + 6 + 18, y = -3*k + 2. Let v be y + 2*(-1)/2. Factor -13*i + 4*i**v + 4*i**3 + 2*i**3 + 2*i**3 - 3*i - 12*i**2 + 16.
4*(i - 1)**2*(i + 2)**2
Let g(o) be the third derivative of 2/25*o**5 - 8/3*o**3 + 14*o**2 - 1/600*o**6 + 0*o + 0 - 8/5*o**4. Let f(q) be the first derivative of g(q). Factor f(c).
-3*(c - 8)**2/5
Suppose 4*c - 4*z - 15 = 5, -3*c - 4*z - 6 = 0. Suppose -3*q = -3*v, -3*q - 2 - c = -4*v. Factor 5*o**2 - 75*o**3 - 25*o**q - 50*o**2 + o**5 - 6*o**5 - 10*o**4.
-5*o**2*(o + 1)*(o + 3)**2
Let g(x) be the third derivative of -x**6/200 + 221*x**5/100 - 12099*x**4/40 - 12321*x**3/10 + 191*x**2 + 2. Let g(q) = 0. Calculate q.
-1, 111
Let v(r) = 10*r**3 + 225*r**2 - 125*r + 55. Let c(i) = -i**3 - 25*i**2 + 14*i - 6. Let z be -9 - -6 - 4/(4/(-9)). Let a(k) = z*v(k) + 55*c(k). Factor a(o).
5*o*(o - 4)*(o - 1)
Let z(t) be the second derivative of -5/12*t**4 - 10240*t**2 + 320/3*t**3 + 0 + 102*t. Suppose z(b) = 0. Calculate b.
64
Let i(q) = q**2 - 25*q. Let n be i(25). Factor 31*g**3 + 4*g + 2*g**4 - 41*g**3 + 16*g**2 - 12*g + n + 0.
2*g*(g - 2)**2*(g - 1)
Let i(q) be the first derivative of -27*q**4/4 - 366*q**3 - 723*q**2/2 - 120*q - 12010. Suppose i(j) = 0. What is j?
-40, -1/3
Let w(y) be the first derivative of 105/4*y**2 + 3/8*y**4 - 11/2*y**3 - 75/2*y + 61. Suppose w(m) = 0. What is m?
1, 5
Let l = -16158/391 - -704/17. Solve l*k**4 - 20/23 - 22/23*k**3 + 22/23*k + 18/23*k**2 = 0.
-1, 1, 10
Let r(q) = -36*q**3 + 75*q**2 + 36*q - 75. Let t = 30 + -74. Let v = 55 + t. Let s(z) = -7*z**3 + 15*z**2 + 7*z - 15. Let g(i) = v*s(i) - 2*r(i). Factor g(u).
-5*(u - 3)*(u - 1)*(u + 1)
Let x be 1*(-2 + 5 + 0). Let i(s) be the first derivative of 9 + 10*s**3 - 16*s - 90*s**2 + 16*s**x - s - 33*s - 2*s**4. Solve i(h) = 0 for h.
-1/4, 5
Let g(o) be the first derivative of o**8/16800 + o**7/280 + o**6/16 - 43*o**3 - 131. Let i(b) be the third derivative of g(b). Let i(c) = 0. What is c?
-15, 0
Let p(c) be the first derivative of 2*c**3/3 - 902*c**2 + 406802*c - 2460. What is m in p(m) = 0?
451
Let j be (-1)/78*-2*1629/362. Let p(b) be the third derivative of -27/13*b**3 + 0 - 1/390*b**5 + 0*b - j*b**4 + 11*b**2. Find s such that p(s) = 0.
-9
Let h(p) = -3*p**3 - p**2 + 1. Let y be h(-1). Factor -43*m**4 + 43*m**4 - 3*m**5 + 3*m**y + 0*m**5.
-3*m**3*(m - 1)*(m + 1)
Let y be (-74)/111*(-11 - -10). Let 16/3*u - y*u**4 + 2/3*u**3 + 20/3*u**2 + 0 = 0. What is u?
-2, -1, 0, 4
Suppose 292*v - 294 - 3846 = -536*v. Factor -2/7*c**v - 20/7*c**3 + 2*c**4 + 0 + 0*c**2 + 0*c.
-2*c**3*(c - 5)*(c - 2)/7
Suppose 19*h + 1022*h**2 + 3450 + 17*h + 18*h - 1027*h**2 - 19*h = 0. What is h?
-23, 30
Let z(n) be the second derivative of n**5/160 - n**4/32 - n**3/12 + 3*n**2/4 - 122*n + 13. Factor z(v).
(v - 3)*(v - 2)*(v + 2)/8
Suppose 32/5*q + 8/3 + 2/15*q**5 - 26/15*q**3 - 6/5*q**4 + 10/3*q**2 = 0. Calculate q.
-1, 2, 10
Let z(j) = 79*j**2 - 858*j + 184041. Let k(l) = -171*l**2 + 1716*l - 368082. Let n(b) = 6*k(b) + 13*z(b). Factor n(d).
(d - 429)**2
Let k(z) = z**3 - 5*z**2 - 17*z + 23. Let t be k(-3). Factor -2*w**t + 14/3 + 40/3*w.
-2*(w - 7)*(3*w + 1)/3
Let b(c) = 11*c**3 - 18*c**2 + 21*c + 139. Let a(o) = 5*o**3 - 9*o**2 + 10*o + 68. Let m(t) = -9*a(t) + 4*b(t). Suppose m(f) = 0. Calculate f.
-2, 4, 7
Let f(g) = -25*g**2 - 3*g + 3. Let m be f(0). Let y(o) be the first derivative of -49/5*o - 16 + 7/5*o**2 - 1/15*o**m. Factor y(i).
-(i - 7)**2/5
Factor 3295/4*s - 471/2 + 7/4*s**2.
(s + 471)*(7*s - 2)/4
Factor -2/5*k**3 - 104*k + 74/5*k**2 + 448/5.
-2*(k - 28)*(k - 8)*(k - 1)/5
What is g in -64/19*g**3 + 64/19*g + 2/19*g**4 + 118/19*g**2 - 120/19 = 0?
-1, 1, 2, 30
Let b(i) be the first derivative of i**3/12 - 23*i**2/8 - 87*i/2 + 1643. Let b(c) = 0. What is c?
-6, 29
Factor -364*l - 866*l - 60*l + 83205 + 5*l**2.
5*(l - 129)**2
Suppose 4*d - 4*z = 24, 4*d + d + z = 18. Suppose d*s = 3*s + 2. Solve 300 - 8*n - 29*n - 20*n - 3*n + 3*n**s = 0 for n.
10
Let s = -349 - -521. Factor s*x - 90*x - 87*x + x**2.
x*(x - 5)
Suppose 2*g - 16 = -2*o, 3*g - 3*o - 4 = -2*o. What is t in 4*t**3 + 4*t**g - 3*t**3 + 6*t**3 - 8*t**3 + 120*t**2 = 0?
-40, 0
Let s be 0/(6/2)*(-23)/(-92). Let m(c) be the third derivative of s*c**4 + 0 + 1/45*c**5 + 0*c**3 + 0*c + 2*c**2. Factor m(a).
4*a**2/3
Let q(f) = -3*f**3 + f**2 - 1. Let x be q(-1). Suppose -23*v = 10*v - 462. Factor -2*d**x + 0*d**3 + 2*d**3 + v*d**4 - 4*d**3.
2*d**3*(7*d - 2)
Solve 146*z**2 - 50*z**3 + 15975*z + 48*z**2 - 17676*z + 53*z**3 + 28*z**2 = 0 for z.
-81, 0, 7
Suppose 3*f = 4*y + 49, -4*f + 478*y + 32 = 476*y. What is c in -3/2*c**3 + 3*c**2 + 3/2*c - f = 0?
-1, 1, 2
Determine i so that -135 - 366*i**2 - 27*i**4 + 153*i**3 + 3/2*i**5 + 747/2*i = 0.
1, 3, 10
Let n(h) = -4*h**5 - 3*h**4 - 5*h**3 - 3*h**2 + 6*h - 3. Let a(z) = 23*z**5 + 16*z**4 + 28*z**3 + 18*z**2 - 34*z + 17. Let u(s) = 3*a(s) + 17*n(s). Factor u(v).
v**2*(v - 3)*(v - 1)*(v + 1)
Let y(a) be the third derivative of -a**5/300 + 361*a**4/120 + 121*a**3/5 + 2826*a**2 - 2. Suppose y(u) = 0. Calculate u.
-2, 363
Let s(p) = -4*p**3 + 39*p**2 + 4*p + 21. Let w be s(10). Let b be (39 + w)*2/(-16). Factor 0 - 1/7*t**3 + 1/7*t**5 + 3/7*t**4 - 3/7*t**2 + b*t.
t**2*(t - 1)*(t + 1)*(t + 3)/7
Let s(l) = -206*l**2 - 2745*l + 11117. Let q(a) = -92*a**2 - 1372*a + 5556. Let i(z) = 9*q(z) - 4*s(z). Let i(j) = 0. What is j?
-346, 4
Let f be 16 + 25/(50/(-28)) + (-2)/(-4). Find u, given that 1/6*u**3 + f*u - 25/6 + 3/2*u**2 = 0.
-5, 1
Let p(n) = 13*n**2 - 1 - 2*n + 0 - 12*n**2. Let u(g) = -15*g**2 + 12*g - 9. Let q(x) = -18*p(x) - u(x). Factor q(i).
-3*(i - 9)*(i + 1)
Factor 86*r**2 - 188*r**2 + 88*r**2 + 56*r - 40 - 2*r**3 + 0*r**3.
-2*(r - 2)*(r - 1)*(r + 10)
Let b(k) be the third derivative of 97*k**5/90 - 11*k**4/4 + 2*k**3/9 + 1065*k**2. Factor b(n).
2*(n - 1)*(97*n - 2)/3
Let v(t) be the second derivative of 0 - 1/20*t**5 + 0*t**2 - 128*t + 1/24*t**4 - 1/60*t**6 + 1/6*t**3. Determine x so that v(x) = 0.
-2, -1, 0, 1
Factor -454*r + 626278 + 311*r - 182599 + 1780284 + 3*r**2 - 5023*r.
3*(r - 861)**2
Let c be 6/10 - 633/1055. Let s(i) be the second derivative of -3/50*i**5 + 0*i**3 + 11*i - 1/15*i**4 + c + 0*i**2. Find d, given that s(d) = 0.
-2/3, 0
Suppose 0 = 293*z - 310*z. Let j(f) be the second derivative of 16/255*f**6 + 0*f**3 + 0*f**2 - 4*f + z + 1/51*f**4 + 1/51*f**7 + 11/170*f**5. Factor j(l).
2*l**2*(l + 1)**2*(7*l + 2)/17
Let s(p) = -p**3 - 32*p**2 - 19*p - 604. Let u be s(-32). Find z such that 0*z - 2/9*z**5 + 0 + 4/9*z**3 + 0*z**2 - 2/9*z**u = 0.
-2, 0, 1
Factor -76*i**2 + 4*i**3 + 108*i - 380 + 340*i - 151 - 237.
4*(i - 8)**2*(i - 3)
Let m(d) be the first derivative of -d**4/4 + 40*d**3/3 - 263*d**2/2 + 224*d + 4410. Factor m(g).
-(g - 32)*(g - 7)*(g - 1)
Let j(s) = 3*s**2 + 6*s - 8. Let n be j(3). Let u = n + -35. Let -5*m**3 - 14 + 7*m + 7 - 2*m + 12 - 5*m**u = 0. Calculate m.
-1, 1
Suppose -f - 628 = 1154. Let d = f - -1784. Factor 2*l - 8/5 - 2/5*l**d.
-2*(l - 4)*(l - 1)/5
Let g be (-4)/(-10)*45/4428. Let t = g - -485/1722. Factor 4/7*k**3 - 4/7*k + 2/7*k**4 + 0*k**2 - t.
2*(k - 1)*(k + 1)**3/7
Let v = 1056650 + -4226543/4. Factor 33/4*w**2 + 3/4*w**3 + 27/4 + v*w.
3*(w + 1)**2*(w + 9)/4
Let i(w) be the third derivative of w**5/60 - 179*w**4/8 - 269*w**3/3 - 5*w**2 + 185. What is b in i(b) = 0?
-1, 538
Let i(l) be the second derivative of -l**4/3 + 968*l**3/3 - 966*l**2 - 20*l - 38. Determine p so that i(p) = 0.
1, 483
Suppose 516 = 13*a + 360. Factor 15*i**2 + 12*i**2 + 40 - a*i**2 - 60*i - 6*i**3 + 15*i**2 + i**3.
-5*(i - 2)**3
Let r(z) = 27*z - 20. Let p be r(4). Find f such that -40*f - 48*f + 12*f**3 - 9*f**4 - 4*f**2 + p*f = 0.
0, 2/3
Let o(c) be the first derivative of c**6/2 - 54*c**5 + 1767*c**4 - 15018*c**3 + 98769*c**2/2 - 60516*c - 8888. Suppose o(a) = 0. What is a?
1, 3, 4, 41
Suppose 2*r = -3*r - 440. Let x be (-48)/(-22) + -4*(-4)/r. Determine d, given that d**3 + 9 + 11 - 2*d**3 - 60*d - 29*d**3 + 65*d**x + 5*d**4 = 0.
1, 2
Let a(l) = -l**4 - 10*l**3 + 16*l**2 + 6*l - 11. Let u(g) = -10*g**3 + 15*g**2 + 5*g - 10. Let h be (-34)/8 - (-11)/44. Let y(q) = h*u(q) + 5*a(q). Factor y(m).
-5*(m - 1)**2*(m + 1)*(m + 3)
Solve 400/13 + 2/13*g**3 + 396/13*g**2 - 798/13*g = 0 for g.
-2