x).
4*x*(x - 1)**2*(x + 2)
Let y(c) be the first derivative of c**5/20 + 31*c**4/16 + 23*c**3/2 + 53*c**2/2 + 26*c - 225. Factor y(n).
(n + 1)*(n + 2)**2*(n + 26)/4
Let i be -24*((-52)/6 - -10). Let g be -4*(-12)/i*-2. Factor 0*k**2 - 1/4*k**4 + 0*k + 0 - 1/2*k**g.
-k**3*(k + 2)/4
Solve 26/9*u**3 - 2/9*u**4 - 104/9*u + 176/9 - 4*u**2 = 0.
-2, 2, 11
Let y be (-15)/(-24)*(-140)/(-50). Let z(i) = 10*i - 8. Let u be z(1). Let y + 1/4*q**2 + u*q = 0. Calculate q.
-7, -1
Solve 12*h**3 - 2*h**2 + 573*h**5 - 30*h**2 + 18*h**4 - 571*h**5 = 0.
-8, -2, 0, 1
Let q be 3 + ((-30)/(-10) - 2). Suppose -3*t = s - 0*t + 15, 4*s - 2*t - 10 = 0. Find z such that -z + 2 - z**2 + s*z**2 + q = 0.
-3, 2
Let i = 125 + -123. Solve k**2 + 45 - 82*k + 1636 - 2*k**2 + 2*k**i = 0.
41
Let u(m) be the first derivative of -1/18*m**6 + 0*m + 0*m**2 + 102 + 20/9*m**3 + 4/3*m**4 + 1/15*m**5. Solve u(t) = 0.
-2, 0, 5
Suppose 3*c - 2*c = 5*q + 352, 0 = 4*q - c + 282. Let w be (-21)/(-6)*5/(q/(-8)). What is v in 3*v**2 + 64 - 54*v - 6*v**2 + 4*v**w + 38*v = 0?
8
Solve 9/4*g**4 + 30 - 729/4*g**2 + 27/4*g**5 - 27/2*g - 573/4*g**3 = 0.
-4, -1, -2/3, 1/3, 5
Solve -21/2 + 3*p**5 + 76*p**2 - 131/2*p**4 - 52*p + 49*p**3 = 0.
-1, -1/6, 1, 21
Let m(p) = -2*p + 18. Let n be m(6). Let c be (0 + n/8)*24/6. Factor 2 - 4*i**2 - 7 - c - 12*i.
-4*(i + 1)*(i + 2)
Suppose 6 = 3*u + 9, -5*u = w - 213. Let a = w - 216. Factor 0 - 8/7*j**4 - 18/7*j**3 - 12/7*j**a - 2/7*j.
-2*j*(j + 1)**2*(4*j + 1)/7
Let d(z) be the second derivative of 18*z - 30*z**2 + 0 + 35/6*z**3 - 5/12*z**4. Factor d(n).
-5*(n - 4)*(n - 3)
Let r = -49909/39 + 16853/13. Suppose 11*d**2 + 5/3*d - r + 11/3*d**3 + 1/3*d**4 = 0. What is d?
-5, -2, 1
Let w = -9 + 13. Suppose -2*r + 2*h + 1 = -21, -3*r = -5*h - 39. Factor -r*u**3 - 10*u + w*u**2 - 9*u**4 + 5*u**4 + 18*u.
-4*u*(u - 1)*(u + 1)*(u + 2)
Suppose 5*l - 57 = -487. Let r = -81 - l. Let 16/7 + 100/7*w**r - 274/7*w**3 - 30/7*w**4 - 120/7*w + 44*w**2 = 0. Calculate w.
-2, 2/5, 1/2, 1
Suppose 12*m - 9*m - 19 = 7*w, 0 = 3*m - w - 31. Let c(o) be the second derivative of 0 + 3/20*o**2 + 1/120*o**4 - m*o + 1/15*o**3. Factor c(h).
(h + 1)*(h + 3)/10
Let k = 707/474 - 52/79. Let i(j) be the second derivative of -6*j + k*j**3 + 2/15*j**6 - 1/2*j**2 + 0 - 1/4*j**5 - 1/4*j**4. Solve i(r) = 0.
-1, 1/4, 1
Let i(k) be the first derivative of k**6/54 - 124*k**5/9 + 128545*k**4/36 - 8997050*k**3/27 + 8805470*k**2/9 - 8741816*k/9 - 561. Factor i(u).
(u - 206)**3*(u - 1)**2/9
Let v(b) be the second derivative of 11 + 3/20*b**5 - 5/4*b**3 + 1/10*b**6 - b - 2/3*b**4 + 1/84*b**7 + 9/2*b**2. Find d, given that v(d) = 0.
-3, -2, 1
Let i(q) be the second derivative of -192*q**2 + 71/2*q**4 + 1/14*q**7 - 7/5*q**6 - 16*q**3 + 93/20*q**5 + 0 - 107*q. Determine o, given that i(o) = 0.
-2, -1, 1, 8
Solve -535*a**4 - 543*a**4 + a**5 - 506*a**4 + 768*a**3 + 4096*a**2 + 1632*a**4 = 0.
-16, 0
Let i = -1620 - -1623. Let a(g) be the first derivative of 4/9*g**i + 0*g**4 - 4/15*g**5 + 1/9*g**6 - 21 - 1/3*g**2 + 0*g. Let a(r) = 0. What is r?
-1, 0, 1
Let l(k) = -33*k**3 - 1920*k**2 - 1621*k + 270. Let g(j) = 890*j**3 + 51840*j**2 + 43770*j - 7290. Let y(h) = 2*g(h) + 55*l(h). Factor y(c).
-5*(c + 1)*(c + 54)*(7*c - 1)
Let y be 2/9 + (-2590)/(-90) + 5. Suppose y = 5*h + 14. Factor -5/2*a - 3/2*a**2 - 1 + 1/2*a**3 + 1/2*a**h.
(a - 2)*(a + 1)**3/2
Let y(w) = -5*w**3 + 50*w**2 - 78*w - 10. Let f(j) = -2*j + 10. Let v(l) = f(l) + y(l). Factor v(z).
-5*z*(z - 8)*(z - 2)
Let z(u) = 3*u**4 + 12*u - 3. Let q(h) = -h**2 - 2*h + 1. Let g be ((-1)/7)/((-10)/70). Let o(m) = g*z(m) + 6*q(m). Factor o(i).
3*(i - 1)**2*(i + 1)**2
Let r(d) be the third derivative of d**5/180 + 125*d**4/18 - 167*d**3/6 - 2*d**2 - 2*d + 1607. Factor r(i).
(i - 1)*(i + 501)/3
Suppose a + 52 = 13*v - 11, v + 2*a = -18. Factor 13/2*m**3 - 2*m + 0 - 2*m**2 - 5/2*m**v.
-m*(m - 2)*(m - 1)*(5*m + 2)/2
Suppose 0 = 3*j - z + 362 - 375, -5*j + 5*z = -35. Let k(v) be the first derivative of -10/3*v + 8 + 5/9*v**j - 5/6*v**2. Determine x so that k(x) = 0.
-1, 2
Let q = 64 - 76. Let d be 2/q + 225/54. What is x in -2*x**2 - d*x - 1117 + 1117 = 0?
-2, 0
Suppose -42*q = 31 - 199. Let v(z) be the second derivative of 1/60*z**q - 8*z + 0 - 1/5*z**2 - 1/30*z**3. Factor v(t).
(t - 2)*(t + 1)/5
Let c(a) be the third derivative of 113*a**5/270 + 25*a**4/24 - a**3/54 + 311*a**2. Factor c(i).
(i + 1)*(226*i - 1)/9
Let s(o) be the first derivative of -o**6/30 + 22*o**5/25 - 57*o**4/20 - 508*o**3/15 + 272*o**2/5 - 12037. Determine h so that s(h) = 0.
-4, 0, 1, 8, 17
Solve -49/3*o**5 - 8239/6*o**4 - 14096/3*o**2 - 160 - 10757/2*o**3 - 4486/3*o = 0.
-80, -3, -1/2, -2/7
Let g(o) be the first derivative of -3*o**5/20 + 19*o**4/4 + 10*o**3 - 256*o - 181. Let j(h) be the first derivative of g(h). Find b, given that j(b) = 0.
-1, 0, 20
Let b(j) be the second derivative of -j**4/48 + 31*j**3/24 - 15*j**2/4 + 2*j - 328. Find p such that b(p) = 0.
1, 30
Let n be (78080/(-112320) - 20/(-26))/(2/48). Determine l, given that -n + 4/3*l - 2/9*l**2 = 0.
2, 4
Factor 127*m - 1588 - 1583 + 3234 + 49*m**2 + 16*m**2 + m**3.
(m + 1)**2*(m + 63)
Suppose 36*d - 43 = -40*d + 261. Let a(p) be the second derivative of p - 7/36*p**d + 0 + 8/9*p**3 - 2/3*p**2. Factor a(z).
-(z - 2)*(7*z - 2)/3
Let y(x) be the third derivative of x**5/120 - 55*x**4/4 + 329*x**3/3 + 241*x**2 + 2*x - 5. Factor y(h).
(h - 658)*(h - 2)/2
Let b(c) be the third derivative of 14*c + 0*c**3 + 0 + 2/15*c**4 - 1/150*c**5 + c**2. Determine a so that b(a) = 0.
0, 8
Let -70/3 - 71*h**2 + 211/3*h + 73/3*h**3 - 1/3*h**4 = 0. What is h?
1, 70
Factor 190*w**2 - 26*w**4 - 4*w**5 - 285*w + 4*w**4 + 9*w**5 + 110 + 40*w**3 - 38*w**4.
5*(w - 11)*(w - 1)**3*(w + 2)
Let a be (-428)/(2 + 3 + -9). Factor 32 - 17 + a*f**2 - 103*f**2 + 15 + 26*f.
2*(f + 5)*(2*f + 3)
Let n be 120/112*(-91)/(-462). Let r = n + 3/77. Factor 1/4*k**4 + 0*k + 0 - r*k**2 + 0*k**3.
k**2*(k - 1)*(k + 1)/4
Let f = -723 + 733. Suppose f*t - 5*t = 0, -2*y = -4*t - 4. Determine k, given that -36/5*k**y - 8/5*k + 0 - 28/5*k**3 = 0.
-1, -2/7, 0
Factor 160*l + 136*l**2 - 28*l**3 + 7*l**4 + 7*l**4 + 7*l**4 - 25*l**4.
-4*l*(l - 4)*(l + 1)*(l + 10)
Let s = -500735/4 - -125184. Factor -3/4*p**3 + s*p**2 - 1/4*p**5 + 0 + 3/4*p**4 + 0*p.
-p**2*(p - 1)**3/4
Let v be 46 + 732 + (6*1)/(-1). Let o = -4625/6 + v. What is z in -5/2*z**2 - 1/6 + 13/6*z**3 + o*z - 2/3*z**4 = 0?
1/4, 1
Let m = -95729 - -191479/2. Solve m + 3/4*t**2 + 45/4*t = 0 for t.
-14, -1
Let r be (3/(-2 - -5) - 2)*-2. Suppose -26*j**2 + 6*j**r - 13*j**2 - 13*j + 20*j - 63*j - 4*j**3 - 12 = 0. Calculate j.
-6, -2, -1/4
Suppose 0 = -4*q + 8*q + 4*l - 180, -4*q = -l - 155. Find c, given that c**2 + 0*c**2 + q*c - 14 + 11*c**2 - 10*c**2 + 4*c**2 = 0.
-7, 1/3
Let k = -2 + 0. Let l be (k + -2)/(9 + -11). Find r such that -11*r + 9*r + 6 + 11*r + 3*r**l = 0.
-2, -1
Let b(u) = -u**3 + 43*u**2 - 37*u - 207. Let j be b(42). Let r(q) be the first derivative of 3*q - q**2 - j - 1/3*q**3. Determine z so that r(z) = 0.
-3, 1
Let u = -334 + -458. Let q = u - -792. Factor -3/2*b + q + 3/4*b**3 - 3/4*b**2.
3*b*(b - 2)*(b + 1)/4
Let z(m) be the second derivative of -m**6/24 - 155*m**5/16 - 1605*m**4/2 - 32760*m**3 - 717120*m**2 - 12269*m. Factor z(a).
-5*(a + 24)**3*(a + 83)/4
Determine s, given that -144*s**2 + 4*s**4 - 4*s**3 - 5*s - 38*s + 107*s + 47*s + 33*s = 0.
-6, 0, 1, 6
Let u(q) be the second derivative of 32*q - 4/15*q**3 - 1/150*q**5 + 10*q**2 - 1/15*q**4 + 0. Let w(i) be the first derivative of u(i). Factor w(p).
-2*(p + 2)**2/5
Suppose 0 = -23*i + 13*i + 70. Suppose -3 = q + h, 5*q - 6*q + h + i = 0. Factor 0*m - 8/3*m**q - 16/3*m**3 - 2*m**4 + 0.
-2*m**2*(m + 2)*(3*m + 2)/3
Let m(r) = -63*r**3 + 17*r**2 + 80*r + 64. Let s(p) = -142*p**3 + 34*p**2 + 161*p + 129. Let j(b) = -9*m(b) + 4*s(b). Suppose j(v) = 0. Calculate v.
-10, -6, -1
Let y = 2950 + -2947. Let k(w) be the first derivative of -1/4*w**3 + 3/8*w**2 + 0*w - 3/16*w**4 + 3/20*w**5 + y. Factor k(d).
3*d*(d - 1)**2*(d + 1)/4
Let a(q) = -7*q**3 - q**2 + 43*q - 83. Let k(b) = -44 + 5*b**2 - 13 + 556 + 45*b**3 - 257*b. Let o(j) = -13*a(j) - 2*k(j). Factor o(n).
(n - 3)**2*(n + 9)
Let u(z) be the second derivative of z**7/126 - z**6/5 - 67*z**5/60 + 148*z**4/9 - 178*z**3