 0 - 284/7*b**3 - 4/7*b**5 - 480/7*b + 88*b**2 + 8*b**4 = 0.
0, 2, 3, 4, 5
Let u(w) be the second derivative of -2*w**6/45 + 2*w**5/15 + 29*w**4/9 - 20*w**3/3 - 708*w. Let u(z) = 0. What is z?
-5, 0, 1, 6
Let s(n) = 4*n**3 + 23*n**2 - 56*n - 67. Let x(p) = 4*p**2 + p + 1. Let d(c) = -3*s(c) + 6*x(c). Factor d(v).
-3*(v - 3)*(v + 1)*(4*v + 23)
Suppose -338*v + 237 = -259*v. Factor 160/9*i - 200/9 + 2/9*i**v + 38/9*i**2.
2*(i - 1)*(i + 10)**2/9
Let -99/5*y**3 - 3/5*y**5 - 216/5 + 396/5*y - 114/5*y**2 + 36/5*y**4 = 0. What is y?
-2, 1, 6
Suppose 411/7 + 3/7*x**2 - 414/7*x = 0. Calculate x.
1, 137
Factor 14/5*k**2 + 2*k**3 - 16/5*k - 8/5.
2*(k - 1)*(k + 2)*(5*k + 2)/5
Let b be 88/(-2)*(36/(-24) + 1). Determine z, given that 34 - 6*z**2 - 9*z + 23*z - b - 6*z**3 + 2*z**4 = 0.
-1, 2, 3
Let w = 89608 - 89606. Solve -6/7*u - 2/7*u**4 + 72/7 - 46/7*u**w - 18/7*u**3 = 0 for u.
-4, -3, 1
Suppose -q = -3*y - 3*q + 100, 4*y + q - 140 = 0. Let u = 38 - y. Factor -v**3 + 10*v - 2*v - 5*v**2 + 5*v**3 - 7*v**u.
4*v*(v - 2)*(v - 1)
Let a(v) = -7*v**2 - 280*v + 156. Let s(y) = y**2 + 31*y. Let h(d) = a(d) + 8*s(d). Factor h(z).
(z - 26)*(z - 6)
Let t(r) be the first derivative of -97 - 1/15*r**5 + 1/2*r**2 + 1/9*r**3 - 1/4*r**4 + 0*r. Suppose t(j) = 0. What is j?
-3, -1, 0, 1
Let z(x) = x**4 - 94*x**3 - 212*x**2 - 102*x + 3. Let l(m) = -3*m**4 + 190*m**3 + 424*m**2 + 206*m - 5. Let g(o) = 3*l(o) + 5*z(o). Let g(s) = 0. What is s?
-1, 0, 27
Let c = 27/1151 + 1097/2302. Let v(y) be the first derivative of -y**2 + 0*y - c*y**3 + 1/8*y**4 - 45. What is b in v(b) = 0?
-1, 0, 4
Factor 118/3*m + 116/3*m**2 - 2/9*m**3 - 700/9.
-2*(m - 175)*(m - 1)*(m + 2)/9
Suppose 0*f + 12 = 3*f. Suppose 0 = -4*v + 5*u + 222, 0*v - u + 210 = f*v. Let -47*x + 106*x - 3*x**2 - v*x - 4 + 1 = 0. What is x?
1
Let o = -1196468 + 10768228/9. Let o - 4/9*t - 2/9*t**2 = 0. Calculate t.
-4, 2
Suppose 86 = 4*d - 150. Let j = d - 54. Factor 0 - 3*t**2 - 2 + j.
-3*(t - 1)*(t + 1)
Factor 9*i**3 - 20*i**3 + 7*i**3 - 440 + 2*i**3 + 7*i**3 - 205*i**2 - 650*i.
5*(i - 44)*(i + 1)*(i + 2)
Let k(u) = 3*u**2 + 25*u + 31. Let o be k(12). Let a = -3813/5 + o. Factor 0*s**2 - s**4 + 0 + 0*s + 3/5*s**5 + a*s**3.
s**3*(s - 1)*(3*s - 2)/5
Factor 189*n + 3207*n**5 - 162*n**2 - 3206*n**5 + 48*n**3 - 13*n**4 - 3*n**3 - 81 + 21*n**3.
(n - 3)**4*(n - 1)
Let l(h) be the third derivative of h**6/480 + 101*h**5/240 + 463*h**4/48 + 182*h**3/3 - 8201*h**2. What is i in l(i) = 0?
-91, -8, -2
Let y = 292 - 296. Let p be ((-88)/(-33) + -2)*(-18)/y. Suppose 1/8*n**4 + 0 + 0*n - 1/4*n**2 - 1/8*n**p = 0. Calculate n.
-1, 0, 2
Let q be 1/(-2)*-2*39/234. Let z = 1/2 - q. Find r such that -z*r**4 + 0 - r - 5/3*r**3 - 7/3*r**2 = 0.
-3, -1, 0
Let i = -1096 - -1957. Let l = i - 861. Let l*p - 4/17*p**3 + 2/17 - 6/17*p**2 = 0. Calculate p.
-1, 1/2
Let l(v) be the second derivative of 10/3*v**3 + 0*v**2 + 0 + 40*v + 3/5*v**6 + 9/2*v**4 + 1/21*v**7 + 5/2*v**5. Factor l(a).
2*a*(a + 1)**2*(a + 2)*(a + 5)
Let j(l) be the third derivative of l**8/336 + l**7/42 + l**6/60 - l**5/3 - l**4 + 1501*l**2. Factor j(m).
m*(m - 2)*(m + 2)**2*(m + 3)
Let p be (6/(-18))/(8/72) + (-14)/(-4). Let h(d) be the first derivative of 0*d + 25 - 8*d**3 + 9*d**4 - 18/5*d**5 + 0*d**2 + p*d**6. Solve h(i) = 0 for i.
0, 2
Let z be 3504/(-504) - (-6 + (0 - 1)). Let v(a) be the second derivative of -11*a - 2/5*a**5 + a**3 + 0*a**6 + 0 + z*a**7 - 2*a**2 + 1/3*a**4. Factor v(s).
2*(s - 1)**3*(s + 1)*(s + 2)
Let g be (-2 - (-4)/3)/((-9)/513). Factor 5*d - 170 + 82*d**2 + 20 - 39*d**2 - g*d**2.
5*(d - 5)*(d + 6)
Let d(q) be the second derivative of 7/5*q**5 + 2*q**4 - 6 - 14/3*q**3 + 2*q + 1/15*q**6 - 13*q**2. Factor d(y).
2*(y - 1)*(y + 1)**2*(y + 13)
Let u(v) = -4*v - 6. Let f be u(-8). Suppose c = -20 + f. Suppose -9*i + 15*i**3 + 58*i**2 + c*i**3 - i**2 - 9*i = 0. Calculate i.
-3, 0, 2/7
Let w(f) = 47617*f + 619066. Let s be w(-13). Let 5/2*l**2 - 15/2*l - s = 0. Calculate l.
-3, 6
Let n(z) be the first derivative of 2/3*z - 116 + 1/3*z**3 + 3/2*z**2 - 1/3*z**4. Factor n(a).
-(a - 2)*(a + 1)*(4*a + 1)/3
Factor -148*i - 2*i**3 - 104 + 62*i - 34*i**2 - 26*i.
-2*(i + 2)**2*(i + 13)
Let x = 220028 - 220023. Determine h, given that 185/6*h + 5 - 35/6*h**x - 5/3*h**4 + 170/3*h**2 + 35*h**3 = 0.
-1, -2/7, 3
Let h(d) = 15*d + 83. Let c be h(-6). Let q be c + (21 - 14)*(0 + 1). Suppose 6*w**3 + q*w + 0 - 6/7*w**2 = 0. What is w?
0, 1/7
Factor 1/3*g**3 - 1328/3*g + 329/3*g**2 + 444.
(g - 2)**2*(g + 333)/3
Let v(r) be the second derivative of -r**4/12 + 7*r**3/2 - 51*r**2 - 6*r - 3. Let m be v(8). Factor 2/3*n**m - 2/3*n + 0.
2*n*(n - 1)/3
Let c be ((-84)/48 + (12/40)/(840/4100))*-2. Factor 120/7 - c*k**2 - 116/7*k.
-4*(k - 1)*(k + 30)/7
Let a = 204 - 145. Let u = a - 57. Let 76 - 76 + 12*w**3 + 9*w**u + 3*w**4 = 0. What is w?
-3, -1, 0
Let a(v) be the second derivative of -v**5/26 + v**4/26 + v + 595. Solve a(w) = 0 for w.
0, 3/5
Let g(q) be the second derivative of q**4/16 + 3*q**3/4 + 4*q + 43. Factor g(w).
3*w*(w + 6)/4
Let p(w) = -5*w + 12. Let h be p(2). Factor -14*a - 27*a**2 - 26*a**h + 54*a**2 + a.
a*(a - 13)
Let i = -348 + 350. Let r(t) be the second derivative of -17*t + 3/13*t**i - 4/39*t**3 + 0 + 1/78*t**4. Factor r(n).
2*(n - 3)*(n - 1)/13
Suppose 4*h + 2*b = 3*h + 10, 5*h + 4*b - 26 = 0. Determine o so that -3 + 3*o + 9*o**2 + 18*o**h - 15*o**4 + 33*o**3 + 27*o**4 = 0.
-1, 1/4
Suppose 5*g = 5*c - 65, 90*c - 5*g - 65 = 91*c. Suppose 12/5*n**2 + 8*n - 4/5*n**3 + c = 0. What is n?
-2, 0, 5
What is m in -87 - 220*m - m**5 - 5969*m**3 + 5992*m**3 + 4*m**4 - 113 - 38*m**2 = 0?
-2, 5
Let l = 938933 + -73238005/78. Let w = -91/6 - l. Determine r, given that 0 + w*r**2 + 2/13*r = 0.
-1/4, 0
Let f(o) be the second derivative of -o**3/6 - 2*o. Let r be f(-7). Factor -11 - r + 16*t**2 + 4*t**3 + 18 + 16*t.
4*t*(t + 2)**2
Let k(u) = -5*u**4 - 44*u**3 - u**2 + 26*u - 6. Let b(c) = -6*c**4 - 45*c**3 - c**2 + 24*c - 7. Let a(d) = -6*b(d) + 7*k(d). Let a(n) = 0. Calculate n.
-1, 0, 1, 38
Let u(k) be the second derivative of 5*k**4/36 - 2908*k**3/3 - 3490*k**2/3 - 58*k + 71. Determine x so that u(x) = 0.
-2/5, 3490
Let b(z) be the first derivative of z**3/12 - 55*z**2/8 + 51*z + 1401. Let b(m) = 0. Calculate m.
4, 51
Let b = -254 + 290. Let w be 52/(-10)*(-18)/b. Suppose 0*a + 6/5*a**2 + 0 - a**4 - w*a**3 = 0. Calculate a.
-3, 0, 2/5
Let z = 2584495981 + -5318892554999/2058. Let u = z + 1/1029. Find j such that 18 + 78*j + u*j**2 = 0.
-6/13
Let t be 11 + -4*10544/3840. Let j(f) be the third derivative of t*f**5 + 1/4*f**4 + 0*f + 4/3*f**3 + 0 + 23*f**2. Solve j(i) = 0 for i.
-4, -2
Suppose -4*d - 723*z + 727*z = 24, 2*d + 4*z - 36 = 0. Factor -2*i**3 + 16/7 + 44/7*i - 46/7*i**d.
-2*(i - 1)*(i + 4)*(7*i + 2)/7
Let n = -1588655 - -262129267/165. Let i = n - 80/33. Factor i + 4/5*o - 4/5*o**2.
-4*(o - 3)*(o + 2)/5
Let o = 2168 + -899. Let d = 1274 - o. Solve 0*r + 2/5*r**3 + 4/5*r**2 - 2/5*r**d - 4/5*r**4 + 0 = 0.
-2, -1, 0, 1
Let k be 2175/350 + -13 + (0 - -9) - (-10)/(-14). Determine r so that -k*r**2 - 21/4*r + 3/4*r**3 - 3 = 0.
-1, 4
Factor -x**2 - 29*x + 37*x + 748 + 2*x**2 + 48*x + 23*x.
(x + 11)*(x + 68)
Let l = -424 - -426. Factor 18*c**2 + 14*c**2 + 15*c**2 - 48*c**l - 4 + 5*c.
-(c - 4)*(c - 1)
Let g(h) = h**4 - h**3 + 2*h - 4. Let t(k) = -108*k**3 - 206*k**2 + 430*k + 836. Let x(r) = g(r) - t(r). Determine p so that x(p) = 0.
-105, -2, 2
Let a(k) be the second derivative of k**5/10 - 475*k**4/6 + 18881*k**3 - 56169*k**2 + 12542*k. Factor a(z).
2*(z - 237)**2*(z - 1)
Let g = 8707 - 8704. Let f(v) be the second derivative of -1/2*v**2 + 0 - 13*v + 1/3*v**g - 1/12*v**4. Factor f(s).
-(s - 1)**2
Let x(s) be the third derivative of s**7/945 - 2*s**6/135 - 11*s**5/30 - 5*s**4/6 + 3047*s**2. Solve x(w) = 0 for w.
-6, -1, 0, 15
Let -7546/9 - 84*x**2 + 3920/9*x - 2/9*x**4 + 64/9*x**3 = 0. Calculate x.
7, 11
Let a(y) = 5*y**2 + 37*y - 16. Let d be a(-8). Let p be 6*1*(-2)/(-4). Factor d*m**2 + 5*m - 5*m + 12*m**p.
4*m**2*(3*m + 2)
Let a(j) be the second derivative of -12*j**2 + 67/4*j**4 + 0 + 11*j**3 - 27/10*j**5 + 95*j. What is h in a(h) = 0?
-1/2, 2/9, 4
Let i = 381 + -389. Let b be (-15)/110 - 4/i*1. Find q, given that 16/11 - 2/11*q**2 - b*q = 0.
-4, 2
Let u(v) be the first