+ 128/7*u. Factor y(t).
2*(5*t + 8)**2/7
Let j = -354831/4 + 88719. Suppose -6*v + 3/4*v**4 - 9/2*v**3 + 0 - j*v**2 = 0. Calculate v.
-1, 0, 8
Let f(z) = 2*z**3 + 53*z**2 + 50*z - 114. Let x(q) = 3*q**3 + 52*q**2 + 47*q - 114. Let v(u) = 4*f(u) - 3*x(u). Factor v(h).
-(h - 57)*(h - 1)*(h + 2)
Let u(c) = -4*c**2 + 208*c + 8. Let m(i) = -2*i - 2. Let t(n) = 4*m(n) + u(n). Factor t(d).
-4*d*(d - 50)
Let f(v) be the first derivative of -5/6*v**6 + 125*v + 5/2*v**4 - 7*v**5 - 6 + 230/3*v**3 - 325/2*v**2. Determine d, given that f(d) = 0.
-5, 1
Factor -3*w + 8*w**2 - 2*w + w.
4*w*(2*w - 1)
Factor -71/2*r**2 + 1/2*r**4 - 16*r**3 + 0 + 51*r.
r*(r - 34)*(r - 1)*(r + 3)/2
Let o = 14/1321 - -2600/3963. Let m be (-10)/(-3) - (-1 - -3). Factor o*h**3 + 2/3*h + 0 - m*h**2.
2*h*(h - 1)**2/3
Factor -114 + 203 + 40*v - 50*v**3 + 191 + 5*v**2 + 31*v + 639*v.
-5*(v - 4)*(2*v + 7)*(5*v + 2)
Let w = 290 - 286. Factor 44*i**4 + 32*i**2 - 32*i**3 + w*i**3 - 64*i**4 + 16*i.
-4*i*(i - 1)*(i + 2)*(5*i + 2)
Let i(x) be the third derivative of x**7/42 + 3*x**6/4 + 11*x**5/3 - 15*x**4/4 - 75*x**3/2 + 177*x**2 + 2. Let i(k) = 0. What is k?
-15, -3, -1, 1
Suppose 1/3*x**2 - 131 + 392/3*x = 0. What is x?
-393, 1
Let q(a) be the first derivative of 0*a**3 - 5/56*a**4 + 0*a - 15/2*a**2 + 20 + 1/140*a**5. Let m(t) be the second derivative of q(t). Factor m(p).
3*p*(p - 5)/7
Let g(k) be the second derivative of 0 + 7/33*k**3 - 6/11*k**2 - 66*k - 1/66*k**4. Factor g(a).
-2*(a - 6)*(a - 1)/11
Let k(n) be the third derivative of 1/510*n**5 - 10/51*n**3 - 19*n - n**2 + 0 + 1/68*n**4. Solve k(t) = 0.
-5, 2
Let t be 3/81 + 6/(-162). Solve t - 2/19*d**5 - 50/19*d**2 - 22/19*d**4 - 16/19*d - 54/19*d**3 = 0 for d.
-8, -1, 0
Let b(x) = -x**2 + 114*x + 1242. Let c be b(-10). Let i(o) be the second derivative of 0 + 3/4*o**c + 1/6*o**3 - 1/24*o**4 + 9*o. Let i(r) = 0. Calculate r.
-1, 3
Suppose -15827*w - 13138*w + 24839*w - 14*w**2 + 1180 = 0. Calculate w.
-295, 2/7
Let t(a) be the second derivative of 0*a**2 + 8/13*a**3 - 13 + 1/78*a**4 + 2*a. Find r, given that t(r) = 0.
-24, 0
Let g(a) = -2*a + 17. Suppose -3*s = -7*s + 20. Let v be g(s). Factor 4557 - 9*m**2 - v*m - 5*m - 4545.
-3*(m + 2)*(3*m - 2)
Let w(t) be the second derivative of t**6/420 - t**5/35 + 53*t**2 + 7*t + 1. Let l(x) be the first derivative of w(x). Factor l(n).
2*n**2*(n - 6)/7
Let y be (-150)/22 + (-98)/539. Let g be (-4472)/(-676) - y/((-7)/6). Determine h so that -2/13*h**2 - 8/13 + g*h = 0.
2
Let p be ((-12)/(-21))/(2*(-3)/(-21)). Suppose -31 = -5*d - 16. Factor -d*x - 5*x**2 - 3*x + 0*x**2 + 2*x**p.
-3*x*(x + 2)
Let o be (10/350 + 2/5)/(255/357). Let l = -4 - -7. Let -6/5*u**l + 0*u**2 + 6/5*u + 3/5 - o*u**4 = 0. Calculate u.
-1, 1
Let p(x) be the second derivative of -73*x + 1/20*x**5 + 0*x**3 - 1/60*x**6 - 1 - 1/24*x**4 + 0*x**2. Factor p(o).
-o**2*(o - 1)**2/2
Factor 0*a + 0 - 3/4*a**2 - 3/4*a**3.
-3*a**2*(a + 1)/4
Suppose -1129*q = 892*q - 396*q - 4875. Find i, given that -3 - 1/2*i**q - 1/2*i + 2*i**2 = 0.
-1, 2, 3
Suppose -2*n = 10, 0*t - n = 5*t - 50. Suppose -t*s + 35*s - 120 = 0. Find h, given that -5/3*h**3 + 5/3*h**s + 0 - 2/3*h**2 + 2/3*h**4 + 0*h = 0.
-1, -2/5, 0, 1
Let w = 7519 + -22556/3. Let a(k) be the first derivative of -2/9*k**3 + w*k**2 - 2/9*k + 1/18*k**4 - 30. Factor a(r).
2*(r - 1)**3/9
Let p(c) be the second derivative of -c**4/4 + 944*c**3 - 1336704*c**2 - 1117*c + 2. Determine b so that p(b) = 0.
944
Let x(g) be the first derivative of -39*g**2 - 234*g + 176. Let p be x(-3). Factor 1/4*q**3 + p + 0*q - 9/4*q**2.
q**2*(q - 9)/4
Let k(u) = 8 + 11 - 31 - 12*u + 4*u**2. Let v be k(-1). Factor -1/4*g + 0 + 0*g**3 - 1/2*g**v + 1/2*g**2 + 1/4*g**5.
g*(g - 1)**3*(g + 1)/4
Factor -1406/3 - 4220/3*y - 2*y**2.
-2*(y + 703)*(3*y + 1)/3
Let i be (-11)/(88/(-24)) + 1 + 0. Factor 16*h + 2*h**2 - 38*h**2 + 16*h**3 + 12*h**2 - i - 4*h**4.
-4*(h - 1)**4
Suppose 12 - 2 = 5*c. Factor -44*k**3 - 39*k**c - 5*k**4 + 119*k**2 + 4*k**3 + 10*k**4.
5*k**2*(k - 4)**2
Let l(q) = q**5 - q**4 - q**3 + 2*q - 1. Let k(t) = -8*t**5 + 167*t**4 + 8*t**3 - 162*t**2 - 10*t + 5. Let w(d) = k(d) + 5*l(d). Find u, given that w(u) = 0.
-1, 0, 1, 54
Let f = -394/23 - -92544/5405. Let q = f - -496/3055. Factor q*o**4 + 6/13*o**2 + 0*o + 0 - 8/13*o**3.
2*o**2*(o - 3)*(o - 1)/13
Let i be 9 + (53 - 61 - 1/1). Let m(q) be the third derivative of 9*q**2 + 1/6*q**4 + 0*q - q**3 + 1/30*q**5 + i. Let m(k) = 0. Calculate k.
-3, 1
Let q(b) be the second derivative of b**6/150 - 23*b**5/25 + 91*b**4/60 + 960*b. Find v, given that q(v) = 0.
0, 1, 91
Find a, given that 1/6*a - 145 + 1/6*a**2 = 0.
-30, 29
Let w be 16/(-20) + (-72168)/(-7760). Factor -7/4*x**2 - w + 121/4*x.
-(x - 17)*(7*x - 2)/4
Let d(u) be the third derivative of -u**7/525 + u**6/75 - 4*u**4/15 + 16*u**3/15 - 2853*u**2. Factor d(q).
-2*(q - 2)**3*(q + 2)/5
Let p(z) be the third derivative of 245*z**5/12 + 405*z**4/8 - 5*z**3/3 + 805*z**2. Suppose p(r) = 0. What is r?
-1, 2/245
Suppose -66*f = 190*f + 76*f + 95*f. Solve 1/2*p**3 - 1/2*p**2 + f + 0*p = 0.
0, 1
Let n(f) be the third derivative of 1331*f**8/2352 - 968*f**7/735 + 11*f**6/840 + 47*f**5/42 + 29*f**4/42 + 4*f**3/21 - 3316*f**2. Factor n(a).
(a - 1)**2*(11*a + 2)**3/7
Suppose 19*s - 28 = 5*l, -20 + 22 = -2*l + 3*s. Factor 4/7*i**4 + 0*i + 0 - 48/7*i**l - 16/7*i**3.
4*i**2*(i - 6)*(i + 2)/7
Let z(c) be the second derivative of -11*c**7/63 - 59*c**6/45 - 43*c**5/15 + 10*c**4/9 + 104*c**3/9 + 32*c**2/3 + 4495*c. Solve z(h) = 0.
-2, -4/11, 1
Let h = 2376/544583 + -1/2119. Let w = 773/514 - h. Factor 1/2*a**2 - w - 1/4*a**3 + 5/4*a.
-(a - 3)*(a - 1)*(a + 2)/4
Factor 14964*b**2 - 6*b - 132*b - 22*b - 10*b**3 - 15172*b**2.
-2*b*(b + 20)*(5*b + 4)
Let d(u) = -13093*u**2 + 25818*u + 11. Let t(i) = 1310*i**2 - 2582*i - 1. Let y(f) = 6*d(f) + 58*t(f). Solve y(j) = 0 for j.
-2/1289, 2
Let w(q) be the first derivative of -19*q**3 + 21*q**2/2 - 2*q/3 - 4565. Solve w(d) = 0.
2/57, 1/3
Factor -53*a**4 + 1312*a**3 - 5*a**5 + 245411*a**2 + 333*a**4 + 503*a**3 - 242621*a**2.
-5*a**2*(a - 62)*(a + 3)**2
Let s(x) be the first derivative of -5*x**4/4 + 40*x**3 - 585*x**2/2 + 810*x + 1614. Suppose s(a) = 0. Calculate a.
3, 18
Suppose -108*x + 154*x + 2*x**2 + 303*x + 67*x = 0. What is x?
-208, 0
Let f be (-42)/(-630)*(-9)/(-6) + 0 + (-6)/60. Factor 4/11*i**2 - 2/11*i**4 + 0*i**3 + f*i - 2/11.
-2*(i - 1)**2*(i + 1)**2/11
Let x(o) be the third derivative of 0*o**3 - 31/60*o**5 + 0 + 149*o - 7/120*o**6 + o**2 - 1/2*o**4. Suppose x(s) = 0. What is s?
-4, -3/7, 0
Let d(x) be the first derivative of x**5/10 - 1073*x**4/4 - 1074*x**3 - 3223*x**2/2 - 2149*x/2 + 2468. Factor d(s).
(s - 2149)*(s + 1)**3/2
Determine a so that 222*a**3 - 44*a**4 - 104*a - 283*a**3 + 165*a**3 + 44*a**2 = 0.
-1, 0, 1, 26/11
Let v(m) be the first derivative of 3*m**4/4 + 439*m**3 + 657*m**2 + 284. Let v(i) = 0. What is i?
-438, -1, 0
Let c(i) be the third derivative of 1/84*i**4 + 1/140*i**6 - 1/735*i**7 + 0*i - 2*i**2 + 0*i**3 - 25 - 1/70*i**5. What is t in c(t) = 0?
0, 1
Let l(u) be the third derivative of u**5/150 + 149*u**4/15 - 199*u**3/5 + 7*u**2 + 74*u. Let l(b) = 0. What is b?
-597, 1
Let m(q) = q**2 + 19 - 5 - 6 - 9 - 2. Let w(d) = -23*d**2 + 80*d + 35. Let u(t) = -m(t) - w(t). Factor u(l).
2*(l - 4)*(11*l + 4)
Let n(o) = o**3 - o**2 + 9*o + 1. Let j(r) = -14*r**3 - 13*r**2 - 117*r - 13. Let g(k) = 2*j(k) + 26*n(k). Factor g(s).
-2*s**2*(s + 26)
Let c be (-2)/(-5) + (-186)/(-10). Suppose 23*m - 20 = c*m. Determine p so that -9*p**5 + 15*p**5 + 0 - 8 + 2*p**3 - 8*p**m + 14*p**2 - 6*p**4 = 0.
-2, -1, 1
Determine o, given that -696/5*o + 16 - 946/5*o**3 + 126/5*o**4 + 1716/5*o**2 = 0.
2/9, 2/7, 2, 5
Let k(t) be the first derivative of 2*t**5/15 - 13*t**4 + 128*t**3 - 1120*t**2/3 - 3965. Let k(x) = 0. Calculate x.
0, 4, 70
Let d(t) be the third derivative of t**8/84 + 32*t**7/105 + 11*t**6/30 - 64*t**5/15 - 10*t**4 - 880*t**2. Determine l so that d(l) = 0.
-15, -2, -1, 0, 2
Let f = 575/3882 - -12/647. Let r(u) be the first derivative of f*u**2 + 24 + 0*u - 1/18*u**3. Factor r(k).
-k*(k - 2)/6
Suppose 135*h - 114*h + 14028 = 0. Let p = h - -670. Determine v, given that -16/21*v + 12/7*v**5 + 2/21 + 40/21*v**p - 20/21*v**3 - 2*v**4 = 0.
-1, 1/3, 1/2, 1
Let o(m) be 