that v(g) = 0.
-196, 0, 2
Let s(d) be the third derivative of d**6/36 + 5*d**5/8 - 5*d**4/3 - 37*d**3/2 - 36*d**2 + 4. Let n(u) be the first derivative of s(u). Factor n(t).
5*(t + 8)*(2*t - 1)
Let c = 371583 + -1857813/5. Find b, given that 9*b**4 + 24/5*b + c*b**3 + 7/5*b**5 + 0 + 92/5*b**2 = 0.
-2, -3/7, 0
Let f = -55572 - -722438/13. Let -4/13*t - f - 2/13*t**2 = 0. What is t?
-1
Let a = 198 - 60. Factor 142*d**5 + 12*d**2 - 10*d**2 - 26*d**2 - a*d**5 - 28*d**3.
4*d**2*(d - 3)*(d + 1)*(d + 2)
Let z(q) be the third derivative of q**6/195 - 11*q**5/130 + 14*q**4/39 - 4*q**3/13 - 1788*q**2. Find s, given that z(s) = 0.
1/4, 2, 6
Let m(k) be the second derivative of -k**4/18 - 38*k**3/3 + 117*k**2 + 3036*k - 2. Factor m(s).
-2*(s - 3)*(s + 117)/3
Let g = 705/3322 - -16/151. Let i = g - -5/22. Factor 4/11*v + 2/11*v**3 - i*v**2 + 0.
2*v*(v - 2)*(v - 1)/11
Determine k, given that -2*k**3 - 4*k**2 + 61*k**2 - 3*k**2 - 792*k + 1171 + 58*k**2 - 19 = 0.
2, 6, 48
Let p(k) be the second derivative of k**5/70 - 97*k**4/21 - 1600*k**3/21 - 3232*k**2/7 + 4*k - 102. Suppose p(s) = 0. What is s?
-4, 202
Let z(q) = 11*q - 484. Suppose 6*k - 10*k + 152 = 3*c, 3*c + k - 137 = 0. Let a be z(c). Factor a*j**2 + 0 + 8/9*j - 2/9*j**3.
-2*j*(j - 2)*(j + 2)/9
Let s(u) = -63*u - 5. Let m be s(1). Let i = 69 + m. Find k, given that -4 + i + k**2 + 2 = 0.
-1, 1
Let r(q) be the third derivative of -q**7/140 + 17*q**6/360 + 11*q**5/90 - 17*q**4/18 - 8*q**3/9 + 2018*q**2. Find d, given that r(d) = 0.
-2, -2/9, 2, 4
Determine n, given that 27/4*n**2 - 3/4*n**4 - 1/4*n**5 + 0*n + 9/4*n**3 + 0 = 0.
-3, 0, 3
Let k = 23 + -19. Suppose 15 = 9*t - k*t. Factor 3*x - 13*x**2 + 3*x**3 + 0*x**t + 7*x**2.
3*x*(x - 1)**2
Suppose 265 = 2*i + 255. Let s(r) be the second derivative of -33*r + 0 + 0*r**3 + 1/30*r**i + 0*r**2 + 2/9*r**4. Factor s(v).
2*v**2*(v + 4)/3
Let m(n) = -7*n + 150. Let r be m(15). Suppose -240 = -51*x + r*x. Suppose 60*z**2 - x*z**3 - 40*z + 25/2*z**4 + 8 - 3/2*z**5 = 0. Calculate z.
1/3, 2
Let u(a) be the first derivative of a**6/24 + 19*a**5/20 + 103*a**4/16 + 121*a**3/12 - 13*a**2 - 35*a - 13621. Suppose u(m) = 0. What is m?
-10, -7, -2, -1, 1
Let u be (-6)/(-14) - 106*5/(-70). Suppose 8 = 10*c - u*c. Factor 210*n**3 - 83*n**3 + 4*n**5 + 16*n**c - 103*n**3 + 16*n**2 + 4*n.
4*n*(n + 1)**4
Let x(h) be the second derivative of h**5/6 + 713*h**4/18 - 286*h**3/9 + 2*h + 5392. Determine j so that x(j) = 0.
-143, 0, 2/5
Let r(h) = 4*h**3 + 40*h**2 + 30*h. Let c(w) = -w. Let s = -359 + 360. Let t(n) = s*r(n) - 6*c(n). Factor t(p).
4*p*(p + 1)*(p + 9)
Let -4/5*d**2 + 3908/5 + 3904/5*d = 0. Calculate d.
-1, 977
Let x = -51/29 - -3701/2088. Let h(v) be the second derivative of -18*v + 0 + x*v**4 + 3*v**2 - 1/3*v**3. Let h(t) = 0. What is t?
6
Let b(w) be the third derivative of -1/35*w**7 - 1/4*w**4 + 2*w**2 + 0*w - 1/84*w**8 + 3/20*w**6 - 8 + 0*w**3 - 1/30*w**5. Solve b(u) = 0.
-3, -1/2, 0, 1
Suppose 3*w + 10788 = 32*w. Let c = -369 + w. Factor 3/7*g**c + 27/7 + 3*g**2 + 45/7*g.
3*(g + 1)*(g + 3)**2/7
Factor 7562500/7 + 11000/7*v + 4/7*v**2.
4*(v + 1375)**2/7
Let n(q) be the third derivative of -1/15*q**5 + 0 + 10*q**3 + 0*q + 1/3*q**4 - 174*q**2. Suppose n(d) = 0. What is d?
-3, 5
Suppose 4*v - 12*v = -32. Suppose 4 = -m, 3*t - 2*m - 3*m - 35 = 0. Factor 5*a**5 + a**v - a**t - 13*a**5 + 8*a**5.
-a**4*(a - 1)
Let f = 704 + -702. Let h be (-14)/f + (10 - 3). Factor 4/11*m**2 - 2/11*m**5 + 0*m + 0 + h*m**4 + 6/11*m**3.
-2*m**2*(m - 2)*(m + 1)**2/11
Let y(n) = 23*n + 5. Let v be ((-48)/(-4))/3 + -3. Let u be y(v). What is z in -u*z**5 - 244*z**4 - 201*z - 348*z**3 + 820*z**2 + 75*z - 74*z = 0?
-5, 0, 2/7, 1
Let v(w) be the first derivative of -3*w**5/20 - 39*w**4/4 - 507*w**3/2 - 6591*w**2/2 - 54*w + 1. Let r(f) be the first derivative of v(f). Factor r(d).
-3*(d + 13)**3
Let i(o) = 4*o**2 + 512*o - 1876. Let w(l) = -l**2 - 103*l + 375. Let y(k) = 3*i(k) + 16*w(k). Factor y(z).
-4*(z - 3)*(z + 31)
Let l(v) = -41*v**2 - 11657*v - 1976548. Let w(s) = -13*s**2 - 3866*s - 658849. Let t(j) = 4*l(j) - 13*w(j). Solve t(d) = 0.
-363
Let t(v) be the second derivative of v**6/540 + 13*v**5/90 + 4*v**4/3 - 47*v**3 - 233*v. Let j(d) be the second derivative of t(d). What is a in j(a) = 0?
-24, -2
Let z be 22*5/(-4)*171/(-57). Suppose -90 + z*r + 5/2*r**3 - 25*r**2 = 0. What is r?
3, 4
Let c(u) = -7*u**5 + 5*u**4 - 8*u**3 + 20*u**2 - 8*u. Let g(p) = -8*p**5 + 6*p**4 - 7*p**3 + 24*p**2 - 9*p. Let d(x) = -9*c(x) + 8*g(x). Factor d(y).
-y**2*(y - 6)*(y + 1)*(y + 2)
Let k(v) be the second derivative of v**4/114 + 184*v**3/19 + 76176*v**2/19 + 154*v + 1. Determine z so that k(z) = 0.
-276
Let w(b) = -b**2 + 4*b. Suppose o = 4*o - 4*o. Suppose 11*v + 10 + 45 = o. Let u(c) = c**2 - 5*c + 1. Let l(x) = v*w(x) - 4*u(x). Factor l(s).
(s - 2)*(s + 2)
Let x(i) be the first derivative of 3*i**5/5 + 15*i**4/2 - 61*i**3 - 105*i**2 + 2106. Find b such that x(b) = 0.
-14, -1, 0, 5
Solve 37/5*p**3 + 9/5*p + 2/5*p**5 + 33/5*p**2 + 3*p**4 + 0 = 0.
-3, -1, -1/2, 0
Let b(f) = f**2 + 5*f - 4. Let o be b(-6). Let k(g) = g**3 + 19*g**2 + 74*g - 51. Let s be k(-13). Find d, given that s - 8*d - 11 + 0*d**2 + 2*d**o = 0.
-1, 5
Let k(n) be the second derivative of -n**7/189 + n**6/5 - 971*n + 1. Solve k(w) = 0.
0, 27
Let f(r) be the second derivative of 18*r - 1/42*r**4 + 10/7*r**3 + 0 - 225/7*r**2. Solve f(i) = 0 for i.
15
Let r be 23/69*(-594)/(-1). Let m = 399/2 - r. Find w such that -3/2*w**4 + m*w**3 + 3 + 9/2*w**2 - 15/2*w = 0.
-2, 1
Let t(c) be the first derivative of 9*c**5/5 - 119*c**4/4 + 26*c**3/3 + 10872. Factor t(u).
u**2*(u - 13)*(9*u - 2)
Let y(v) be the third derivative of v**5/15 + 161*v**4/3 + 2*v**2 - 194*v. Let y(s) = 0. What is s?
-322, 0
Let y = -31682 - -31687. Let a(t) be the third derivative of -7/2*t**3 + 0 - 9/20*t**y - 1/40*t**6 - 12*t**2 - 15/8*t**4 + 0*t. Factor a(o).
-3*(o + 1)**2*(o + 7)
Let h(y) be the third derivative of -y**5/20 - 11*y**4 + 89*y**3/2 - 6799*y**2. Factor h(a).
-3*(a - 1)*(a + 89)
Let c = 1061067/5 - 211983. Solve -2/5*x**4 - c + 88/5*x**2 - 8/5*x**3 + 192/5*x = 0.
-6, 4
Let k(z) be the third derivative of -z**9/756 - z**8/140 - z**7/70 - z**6/90 - z**3/3 - 3*z**2 + 5. Let q(j) be the first derivative of k(j). Factor q(l).
-4*l**2*(l + 1)**3
Let n = -99551/94 + -115/47. Let x = n - -1064. Determine w, given that x*w + 5/2*w**3 - 5*w**2 + 0 = 0.
0, 1
Let h(i) be the first derivative of -1/35*i**5 + 2*i + 0*i**2 + 0*i**3 + 1/42*i**4 - 1/35*i**6 + 1. Let d(t) be the first derivative of h(t). Factor d(l).
-2*l**2*(l + 1)*(3*l - 1)/7
Let o(v) be the second derivative of 5/12*v**4 + 36*v + 1/12*v**5 + 0*v**3 + 12*v**2 - 1/24*v**6 + 0. Let f(n) be the first derivative of o(n). Factor f(d).
-5*d*(d - 2)*(d + 1)
Let u = 233 + -228. Let h(r) = -8*r**4 - 24*r**3 - 16*r**2 - 5*r. Let d(v) = -12*v**4 - 36*v**3 - 24*v**2 - 8*v. Let o(q) = u*d(q) - 8*h(q). Factor o(z).
4*z**2*(z + 1)*(z + 2)
Let w(b) be the third derivative of 5/24*b**6 + 0*b - 14*b**2 + 153/8*b**4 - 289/6*b**3 - 13/4*b**5 + 0. Find a, given that w(a) = 0.
1, 17/5
Find u such that 43/3*u - 8*u**2 + 2/3 + 22/3*u**4 - 43/3*u**3 = 0.
-1, -1/22, 1, 2
Suppose -2*b + b - 2*a = -8, 5*b = 4*a + 12. Let i = b + 19. Factor i*s**2 + 8*s**4 - 6*s - 13*s**3 - s**2 - 13*s**3 + 2*s.
2*s*(s - 2)*(s - 1)*(4*s - 1)
Let b(c) = c**2 + 12*c + 6. Let q be b(-5). Let s = 45 + q. Factor -s - 29*d + 4*d**3 + 10*d - 8*d**2 - 9*d.
4*(d - 4)*(d + 1)**2
Suppose -170*f - 229*f + 1596 = 0. Let m(b) be the second derivative of 1/5*b**3 + 0*b**2 - 14*b + 0 + 1/50*b**5 + 2/15*b**f. Factor m(c).
2*c*(c + 1)*(c + 3)/5
Let h(s) = -81*s + 129. Let l be h(-11). What is u in 15*u**3 + l*u**4 - 510*u**4 - 505*u**4 = 0?
-3, 0
Let n(d) be the first derivative of d**5/270 + d**4/108 - 2*d**3/27 - 9*d**2/2 - 2*d + 44. Let u(s) be the second derivative of n(s). Factor u(m).
2*(m - 1)*(m + 2)/9
Let k(u) = 6*u**2 - 6*u. Let x(d) = 12 - 46 + 15 + d**2 + 6 + 12. Let q = 6 - 3. Let j(g) = q*x(g) - k(g). Solve j(l) = 0.
1
What is o in 9*o**4 - 118*o + o - 75*o - 106*o**3 + 8*o**4 + 64 - 2*o**5 + 212*o**2 + 7*o**4 = 0?
1, 2, 4
Let p(v) = 21*v + 37. Let o(j) = -50*j - 92. Let x(i) = -5*o(i) - 12*p(i). Let d be x(8). Factor 1/2*k**2 - 1/2*k**4 + 1/4*k**5 - 1/4*k