- 17*t**4 + 930152*t - 2260*t**3 - 31858*t**2 - 815236805 = 0?
-113
Let v(b) be the second derivative of -4/9*b**3 + 0*b**2 - 1/9*b**4 + 0 - 34*b. Factor v(f).
-4*f*(f + 2)/3
Let n be (4/(-10))/((-160)/50) - 210/(-240)*1. Determine t so that n - 4/5*t - 1/5*t**2 = 0.
-5, 1
Let u = 199588 + -399149/2. Factor 33/4*v - 3/4*v**2 - u.
-3*(v - 9)*(v - 2)/4
Suppose 835*f - 821*f - 56 = 0. Suppose -3*g = -3*h + 18, -3*g - 22 = -3*h + g. Factor 68*d - 32 - 14*d + 10*d**3 - 36*d**2 + h*d**f + 5 - 3*d**4.
-(d - 3)**3*(d - 1)
Let i = 25/2236 + 121157/559. Determine a, given that 3/4*a**3 - i + 765/4*a + 99/4*a**2 = 0.
-17, 1
Suppose 2*z + 0*x = x + 2025, 2027 = 2*z + x. Let n = z + -1011. Factor -2/5*q**3 - 6/5*q + 6/5*q**n + 2/5.
-2*(q - 1)**3/5
Let c be (3/9)/((-1)/(-5)). Let q = 61151 - 61148. Factor -c*u - 2/3 - u**2 + 1/3*u**4 + 1/3*u**q.
(u - 2)*(u + 1)**3/3
Solve -50/3*g**4 + 7168/3 + 2512/3*g**2 - 2944*g + 70*g**3 = 0 for g.
-7, 8/5, 8
Let w(t) be the second derivative of -26*t**7/49 + 94*t**6/21 - 87*t**5/7 + 35*t**4/3 - 4*t**3/7 - 6*t - 271. Find m, given that w(m) = 0.
0, 1/39, 1, 2, 3
Let o be (-15 + (-8 - -13))*(0 - 1). Suppose 57*q = 62*q - o. Factor 15*x**q - 10*x**2 + 15*x**2 + 17*x - 2*x + 5*x**3.
5*x*(x + 1)*(x + 3)
Let t be 30/6 + (17 + -3)*(-18)/60. Let k(b) be the first derivative of t*b - 18 - 2/15*b**3 + 1/5*b**2. Factor k(y).
-2*(y - 2)*(y + 1)/5
Let m(j) = -9*j**4 - 454*j**3 - 101*j**2 - 2. Let b(s) = 2*s**3 + s**2 + 2. Let h(g) = -b(g) - m(g). Factor h(u).
u**2*(u + 50)*(9*u + 2)
Let b(x) = -5*x**3 - 15*x**2 + 10*x + 30. Let j be b(-3). Let 4/3*y**2 + 2*y**5 + j - 4/3*y**4 + 2/3*y - 8/3*y**3 = 0. Calculate y.
-1, -1/3, 0, 1
Let n be ((-2812)/(-4218))/(((-3)/9)/(-1)). Determine i, given that 20 - 5/3*i**n - 55/3*i = 0.
-12, 1
Let f(p) be the third derivative of 0 + 1/60*p**6 + 1/945*p**7 + 0*p + 1/9*p**5 + 8/9*p**3 - 81*p**2 + 11/27*p**4. Solve f(x) = 0.
-3, -2
Suppose -8*l = -4*l + q - 88, 4*l - 88 = -2*q. Solve -4*r + 4*r**2 - l*r**2 - 16*r**2 + 36 + 4*r + 22*r**3 - 22*r - 2*r**4 = 0 for r.
-1, 1, 2, 9
Let h(q) = 2*q**3 + 7*q**2 - 4*q - 18. Let u be h(-3). Determine j, given that -28 + 72 - 71*j**3 - 92*j + 52*j**2 + 67*j**u = 0.
1, 11
Let d(v) be the first derivative of -v**3/9 + 11*v**2/2 - 801. Suppose d(g) = 0. Calculate g.
0, 33
Let p(c) = -6*c**3 + 3*c**2 + 14*c + 30. Let k be p(-3). Suppose -167*r = -k*r + 20. Factor -r*h + 2/7*h**2 - 16/7.
2*(h - 8)*(h + 1)/7
Let s(c) be the third derivative of c**6/300 + 59*c**5/150 + 17*c**4/6 + 112*c**3/15 - c**2 - 971. Factor s(u).
2*(u + 1)*(u + 2)*(u + 56)/5
Let t be 49/(-6)*27/(-42). Let k = t - 5. Let 0*r - k*r**2 + 1 = 0. Calculate r.
-2, 2
Let a(v) be the third derivative of -v**8/672 - v**7/210 + 23*v**6/240 - v**5/10 - 3*v**4/4 - 6081*v**2. Determine s so that a(s) = 0.
-6, -1, 0, 2, 3
Let h(t) be the second derivative of 0 + 1152*t**2 - 64*t**3 + 2/15*t**6 + 4/5*t**5 - 8*t - 44/3*t**4. Factor h(f).
4*(f - 4)**2*(f + 6)**2
Let o = -314 + 386. Let u be 0*6/o*6. Determine v, given that 2/17*v**3 + 2/17*v**2 + u*v + 0 = 0.
-1, 0
Let m(o) be the second derivative of -o**5/12 - 5*o**4/9 + 35*o**3/18 + 25*o**2/3 + 2*o + 1998. Let m(j) = 0. Calculate j.
-5, -1, 2
Let s(w) be the first derivative of 3/35*w**5 + 0*w + 9/14*w**4 + 172 + 0*w**2 + 5/7*w**3. Suppose s(z) = 0. What is z?
-5, -1, 0
What is y in 11298*y**2 - 58*y**4 + 60*y**3 + 32*y**4 + 2*y**5 - 11298*y**2 = 0?
0, 3, 10
Let k(z) be the first derivative of z**6/2 - 198*z**5/5 - 153*z**4 - 206*z**3 - 207*z**2/2 - 375. Factor k(l).
3*l*(l - 69)*(l + 1)**3
Let x(o) be the first derivative of 11*o**4/4 + 53*o**3/3 - 5*o**2 - 1996. Factor x(t).
t*(t + 5)*(11*t - 2)
Let r = -5 + 54. Let c = 52 - r. Factor 30*a + 18*a**2 + 3*a**3 + 5 + 7 - c*a.
3*(a + 1)**2*(a + 4)
Let x(a) be the third derivative of 1/84*a**5 + 0*a - 11/3*a**3 + 1/1260*a**6 + 0 + 0*a**4 + 15*a**2. Let u(f) be the first derivative of x(f). Factor u(g).
2*g*(g + 5)/7
Let o(d) be the first derivative of -3*d**5/5 + 333*d**4/2 - 12097*d**3 - 37296*d**2 - 37632*d - 798. Factor o(t).
-3*(t - 112)**2*(t + 1)**2
Let f(t) be the first derivative of -t**3/18 + 3*t**2/2 - 12*t - 1837. Let f(b) = 0. Calculate b.
6, 12
Let f(o) be the third derivative of -o**6/120 + 32*o**5/15 + 397*o**4/24 - 262*o**3/3 - 9283*o**2. Solve f(w) = 0.
-4, 1, 131
Let k(x) = 60*x**3 - 395*x**2 - 2365*x - 35. Let a(u) = -5*u**3 + 33*u**2 + 197*u + 3. Let r(q) = -35*a(q) - 3*k(q). Determine i, given that r(i) = 0.
-4, 0, 10
Suppose -6*p + 36 = -4*x - p, 2*p = -x - 9. Let b = x - -11. Let 4*m + m**b + 0*m - 7*m = 0. Calculate m.
0, 3
Let m be (2*(-12 + 8))/(-3). Let d = -259/6 + 87/2. Factor -5/3*p**4 + d*p**5 + 0 - 4/3*p**2 + 0*p + m*p**3.
p**2*(p - 2)**2*(p - 1)/3
Let w(s) be the first derivative of s**4 + 140*s**3/3 - 304*s**2 + 624*s + 9901. Determine x so that w(x) = 0.
-39, 2
Let a(l) be the first derivative of 31*l + 3/80*l**5 + 1/80*l**6 - 1/32*l**4 - 1/8*l**3 - 33 + 0*l**2. Let d(v) be the first derivative of a(v). Factor d(f).
3*f*(f - 1)*(f + 1)*(f + 2)/8
Suppose 2414 - 2302 = 28*n. Determine y, given that 3/7*y**n + 3/7*y**5 + 0*y - 3/7*y**3 + 0 - 3/7*y**2 = 0.
-1, 0, 1
Let q(h) be the third derivative of 0*h + 1/12*h**5 - 17/6*h**4 - 71*h**2 - 14/3*h**3 + 0. Suppose q(t) = 0. What is t?
-2/5, 14
Let v(a) be the third derivative of 1/24*a**8 + 10/3*a**4 + 2 - 4*a**3 + 7/10*a**5 - 3*a**2 - 47/60*a**6 - 3/35*a**7 + 0*a. Determine x, given that v(x) = 0.
-2, -1, 2/7, 1, 3
Let y(s) be the first derivative of -2*s**2 + 0*s + 2/3*s**3 + 3/2*s**4 - 53. Factor y(c).
2*c*(c + 1)*(3*c - 2)
Let r be ((-16)/4)/(-35 + 7 + 22). Suppose -1/6 - 4/3*j**3 + r*j + 2/3*j**5 - 1/6*j**4 + 1/3*j**2 = 0. What is j?
-1, 1/4, 1
Let l(y) = -y**3 - 18*y**2 + 22*y + 59. Let z = 188 + -207. Let f be l(z). Factor -2/7*h + 6/7*h**f + 2/7*h**3 - 6/7.
2*(h - 1)*(h + 1)*(h + 3)/7
Let h(q) be the third derivative of -1/108*q**4 + 4/135*q**5 - 8/27*q**3 - 5*q + 0 + 1/540*q**6 + 4*q**2. Let h(w) = 0. Calculate w.
-8, -1, 1
Let u be (4284/(-18088))/((-3)/57). Find q such that -15/2*q**5 + 21/2*q**3 - 9/2*q**4 + u*q**2 - 3*q + 0 = 0.
-1, 0, 2/5, 1
Let z(n) be the third derivative of n**10/287280 + n**9/5985 - 5*n**8/12768 - 25*n**4/12 - 4*n**2 + 1. Let d(o) be the second derivative of z(o). Factor d(a).
2*a**3*(a - 1)*(a + 25)/19
Let -25018/3*k**3 + 8344*k + 1180/3*k**4 - 2352 + 5876/3*k**2 - 14/3*k**5 = 0. What is k?
-1, 2/7, 1, 42
Suppose -5*c + 241 = 4*v, 0*c = 2*c + 5*v - 110. Let t be (20*6/c)/(1/3). Factor f**4 + t + 65*f**3 - 29*f**3 - 6*f**2 - 8*f - 28*f**3 - 3*f**4.
-2*(f - 2)**2*(f - 1)*(f + 1)
Let p(d) be the second derivative of -d**4/48 + 47*d**3/24 - 123*d**2/4 + 376*d - 3. Suppose p(m) = 0. What is m?
6, 41
Suppose 24*r = -16*r + 120. Solve -8/7 - 6125*i**r - 1050*i**2 - 60*i = 0 for i.
-2/35
What is v in 161/2 + 39/4*v - 1/4*v**2 = 0?
-7, 46
Suppose 4*f = c + 8, 4*c - 7*c + 4*f = 8. Let z(d) be the second derivative of 1/2*d**3 + c - 1/4*d**4 - 3/10*d**5 - 13*d + 0*d**2. Factor z(k).
-3*k*(k + 1)*(2*k - 1)
Factor -15/8*a**4 + 0*a + 231/8*a**3 + 0 + 1323/8*a**2 - 3/8*a**5.
-3*a**2*(a - 9)*(a + 7)**2/8
Let i = -540898 + 540902. Factor 1/4*k**i + 3*k + 0 - 13/4*k**2 + 0*k**3.
k*(k - 3)*(k - 1)*(k + 4)/4
Let d(x) be the second derivative of 1/10*x**5 + 0 - 4*x - 162*x**2 - 10/3*x**4 + 39*x**3. Let d(i) = 0. Calculate i.
2, 9
Let d be (-945)/(-567)*(18/(-8))/(200/(-32)). What is m in 18/5*m - d*m**2 - 27/5 = 0?
3
Let d = 486 + -502. Let v be (-56)/(-30) - (d/15)/8. Factor -4/3*o + 0*o**3 + 0 + 4/3*o**5 + 8/3*o**v - 8/3*o**4.
4*o*(o - 1)**3*(o + 1)/3
Let g(o) be the second derivative of -o**3 - 1/20*o**4 + 14*o + 117/10*o**2 + 1. Factor g(r).
-3*(r - 3)*(r + 13)/5
Let g(p) be the third derivative of 1/105*p**7 - 7*p - 4*p**2 - 2/15*p**5 + 0*p**3 + 0 + 1/30*p**6 - 2/3*p**4. Factor g(r).
2*r*(r - 2)*(r + 2)**2
Determine z, given that 3/2*z**4 + 189/2*z + 75/2*z**3 + 0 + 261/2*z**2 = 0.
-21, -3, -1, 0
Suppose 46*g = -16*g + 434. Let f(l) be the second derivative of -12/5*l**5 + 0 + 0*l**2 + 0*l**3 + 6/5*l**6 + 4/3*l**4 - 4/21*l**g + 15*l. Factor f(o).
-4*o**2*(o - 2)**2*(2*o - 1)
Let x(n) be the second derivative of n**5/20 - 10*n**4/3 - 41*n**3/6 + 1752*n - 1. Factor x(y).
y*(y - 41)*(y + 1)
Suppose -2*j - 5*n = 8 -