/3 + 7*c**5/2 + 15*c**4/4 - 35*c**3/6 - 5*c**2/2 + 391. Determine t, given that z(t) = 0.
-1, -1/4, 0, 1, 2
Let t(q) be the second derivative of -q**5/24 + 5*q**4/18 + 342*q. Factor t(h).
-5*h**2*(h - 4)/6
Let r(v) be the first derivative of v**3 + 15*v**2/2 - 61. Determine b so that r(b) = 0.
-5, 0
Let a(l) be the third derivative of -l**8/1344 - l**7/280 + l**6/48 - l**5/120 - 3*l**4/32 + 5*l**3/24 + 73*l**2 + 1. Factor a(p).
-(p - 1)**3*(p + 1)*(p + 5)/4
Let w(g) = -132*g**3 + 1695*g**2 - 5277*g + 4806. Let a(b) = b**4 - 396*b**3 + 5084*b**2 - 15832*b + 14416. Let m(n) = 3*a(n) - 8*w(n). Factor m(h).
3*(h - 20)**2*(h - 2)**2
Let d(s) be the third derivative of -s**7/1050 + s**6/600 + s**5/75 - s**4/30 + 731*s**2. Find t, given that d(t) = 0.
-2, 0, 1, 2
Let s(g) = -15*g**4 - 130*g**3 - 330*g**2 + 770*g + 975. Let v(w) = 7*w**4 + 65*w**3 + 165*w**2 - 385*w - 488. Let r(t) = -2*s(t) - 5*v(t). Factor r(l).
-5*(l - 2)*(l + 1)*(l + 7)**2
Let d(o) be the third derivative of -o**7/280 - 7*o**6/20 - 837*o**5/80 - 729*o**4/16 - 615*o**2. Factor d(a).
-3*a*(a + 2)*(a + 27)**2/4
Factor 12*c**2 + 7*c**3 + 14*c**3 + 3*c**3 - 523*c**5 + 15*c**4 + 526*c**5.
3*c**2*(c + 1)*(c + 2)**2
Suppose -c = c - 12. Let g be ((-3)/33)/(6 - 39/c). Find h, given that 0 + 4/11*h**2 + 0*h + g*h**3 = 0.
-2, 0
Let z = 50/2009 - -42089/4018. Suppose -3 - 15/2*p**2 + z*p = 0. Calculate p.
2/5, 1
Let o(k) = -2*k**3 - 7*k**2 + 4*k - 6. Let q be o(-4). Let x be q/18 + (-33)/(-45). Factor -2/5*m**2 + x*m**5 + 0 + 0*m - 6/5*m**4 + 6/5*m**3.
2*m**2*(m - 1)**3/5
Let r(h) = -13*h**3 + 2139*h**2 - 306737*h + 14621033. Let u(o) = 290*o**3 - 47055*o**2 + 6748215*o - 321662725. Let l(n) = -45*r(n) - 2*u(n). Factor l(z).
5*(z - 143)**3
Let d(g) be the second derivative of -2064*g**5/5 - 1064*g**4/3 - 290*g**3/3 - 4*g**2 - 281*g. Find t such that d(t) = 0.
-1/4, -2/129
Let d(j) be the first derivative of -j**4/126 - j**3/9 + 34*j + 22. Let x(h) be the first derivative of d(h). Factor x(a).
-2*a*(a + 7)/21
Let l(v) be the third derivative of -v**6/120 - v**5/20 + 3*v**4/8 - 3*v**3/2 - 5*v**2. Let f(k) be the first derivative of l(k). Find n such that f(n) = 0.
-3, 1
Let j(f) be the second derivative of -5*f**4/12 - 25*f**3/6 - 5*f**2/2 + 16*f. Let b(h) = -3*h**2 - 12*h - 3. Let i(q) = 5*b(q) - 2*j(q). Factor i(a).
-5*(a + 1)**2
Let f(h) be the first derivative of 10/9*h**3 - 25/3*h**2 + 15 + 250/9*h - 1/18*h**4. Suppose f(k) = 0. What is k?
5
Let k(u) = -u**4 + 1. Let z(j) = -81*j**5 - 425*j**4 - 432*j**3 + 48*j**2 + 208*j + 57. Let t = -156 + 154. Let c(b) = t*z(b) - 14*k(b). Solve c(f) = 0 for f.
-4, -2/3, 2/3
Let 1/6*v**2 + 0 - 1/6*v = 0. What is v?
0, 1
Let l(p) = 40*p**2 - 15*p + 23. Let k(s) = -14*s**2 - s - 1. Let r(i) = 6*k(i) + 2*l(i). Factor r(b).
-4*(b - 1)*(b + 10)
Let m(j) = -j**2 - 4*j + 33. Let p be m(-8). Let g = p - -1. What is a in 1/5*a**4 + 3/5*a**g - 1/5*a + 0 - 3/5*a**3 = 0?
0, 1
Let w(f) be the third derivative of 0*f**3 + 0*f - 1/15*f**5 + 1/180*f**6 + 1/4*f**4 - 14*f**2 + 0. Factor w(i).
2*i*(i - 3)**2/3
Let h(l) be the first derivative of -2*l**7/21 + 3*l**5/5 - 2*l**4/3 + 9*l - 11. Let u(p) be the first derivative of h(p). Factor u(g).
-4*g**2*(g - 1)**2*(g + 2)
Find n such that 481 - 18*n**2 + 58566 + 71997 - 1448*n + 22*n**2 = 0.
181
Factor 2*d**2 - 272*d**3 - 412*d**3 + 12*d + 930*d**3 - 3*d**4 - 1020 + 763*d**2.
-3*(d - 85)*(d - 1)*(d + 2)**2
Factor 0 + 9/2*n**4 - 3/4*n**5 - 39/4*n**3 - 3*n + 9*n**2.
-3*n*(n - 2)**2*(n - 1)**2/4
Let l(c) be the second derivative of c**8/6240 - 17*c**7/16380 + c**6/360 - c**5/260 - c**4/3 - 7*c. Let u(n) be the third derivative of l(n). Factor u(i).
2*(i - 1)**2*(7*i - 3)/13
Suppose 25*l**3 + 7 - 15*l**2 - 69*l + 13 - 5*l**4 + 44*l = 0. Calculate l.
-1, 1, 4
Suppose v = 3 - 1. Find x such that -3*x**3 + v - 3*x**4 - 8*x + 9*x**2 - 8 - 2*x + 13*x = 0.
-2, -1, 1
Let s = -34 - -14. Let j(y) = -2*y**3 - 42*y**2 - 39*y + 20. Let i be j(s). Find o such that -3/5*o**2 + i + 3/5*o**3 - 6/5*o = 0.
-1, 0, 2
Let j(a) be the first derivative of 2*a**3/27 - 10*a**2/3 + 58*a/9 - 120. Factor j(c).
2*(c - 29)*(c - 1)/9
Suppose -3*o - 1 = -7. Suppose 3*q + 3 = 12. Determine n, given that -q*n - 4*n + 3*n**o - 2 + n + n = 0.
-1/3, 2
Suppose 0 = -5*a + 3*c - 57 + 79, 0 = a + c + 2. Factor -4/19*v**a + 4/19 - 2/19*v**3 + 2/19*v.
-2*(v - 1)*(v + 1)*(v + 2)/19
Suppose l + 105 = 8*l. Let w be (-9)/l*(-40)/16. Let 15/4*t**5 + w + 57/2*t**3 + 39/4*t + 33/2*t**4 + 24*t**2 = 0. What is t?
-1, -2/5
Let y be (-9)/15 + (-38)/(-5). Suppose a - f - 2 = 3, -f - y = -2*a. Factor 2/3*v**a - 2*v + 4/3.
2*(v - 2)*(v - 1)/3
Let l(d) be the third derivative of d**8/24 - 11*d**7/35 - d**6/20 + 149*d**5/30 - 7*d**4 - 12*d**3 + 22*d**2 - 2*d. Find u such that l(u) = 0.
-2, -2/7, 1, 3
Let y be (6*-3)/(1*(-2)/51). Let n = -2286/5 + y. Find f, given that 3/5 + 3/5*f**5 - n*f**4 + 6/5*f**3 - 9/5*f + 6/5*f**2 = 0.
-1, 1
Let b(d) be the first derivative of 2*d**2 + 1/150*d**5 - 1/30*d**4 + 0*d + 6 - 1/5*d**3. Let w(m) be the second derivative of b(m). Solve w(g) = 0.
-1, 3
Let a(k) be the second derivative of -k**7/630 - k**6/72 - 2*k**5/45 - k**4/18 + 19*k**2/2 - 18*k. Let h(n) be the first derivative of a(n). Solve h(z) = 0.
-2, -1, 0
Let g be 57/21 + -3 - 47/(-140). Let u(n) be the third derivative of g*n**5 + 0*n**4 + 0*n**3 + 0 - 1/80*n**6 - 5*n**2 + 0*n. Factor u(h).
-3*h**2*(h - 2)/2
Let a = -976 + 6844/7. Let c be (1422/4977)/(2/(-6)*-2). Factor -c - 18/7*g**2 - 3/7*g**4 - 12/7*g - a*g**3.
-3*(g + 1)**4/7
Let u be 63/27 + (-2)/2. Determine j so that -u - 4/3*j - 1/3*j**2 = 0.
-2
Suppose 163*k = 160*k - h + 14, 3*h = 4*k + 3. Solve 2/15*c - 4/5*c**2 - 14/15*c**k - 4/15*c**4 + 4/15 = 0 for c.
-2, -1, 1/2
Suppose 0 = 8*t + 49 - 89. Let v(j) be the second derivative of j + 5/3*j**3 - 5/24*j**4 + 0 - t*j**2. Factor v(f).
-5*(f - 2)**2/2
Let c(n) = 3 + n**3 - 72*n + 65*n + 6*n**2 + 0*n**2. Let m be c(-7). Solve 0 - 1/2*u**5 + 0*u + 0*u**m + 0*u**4 + 0*u**2 = 0 for u.
0
Let j be -2 + 6 + 2/(-1). Suppose -j*a + 3*m - 9 = -0*a, m - 3 = 0. Factor 2/5*d**5 + a*d - 2/5*d**3 + 2/5*d**4 + 0 - 2/5*d**2.
2*d**2*(d - 1)*(d + 1)**2/5
Let u = 118 + -31859/270. Let x(n) be the third derivative of 0 + u*n**5 + 1/36*n**4 + 0*n + 2/27*n**3 - 6*n**2. Factor x(f).
2*(f + 1)*(f + 2)/9
Let y(u) = -32*u**2 + 208*u - 193. Let q(g) = 11*g**2 - 69*g + 64. Let i(c) = 17*q(c) + 6*y(c). Let i(t) = 0. Calculate t.
1, 14
Let s(r) be the second derivative of -2*r + 4/3*r**3 + 0 + 3*r**2 + 1/6*r**4. What is y in s(y) = 0?
-3, -1
Let v = 2113/4 - 526. Determine k so that -3/4*k**4 + v*k**3 + 0*k - 3/2*k**2 + 0 = 0.
0, 1, 2
Let m(n) = -8*n**2 - 140*n - 284. Let o(g) = -g**2 + 3*g + 1. Let v(z) = -m(z) + 4*o(z). Solve v(h) = 0 for h.
-36, -2
Suppose -90 = 2*g + 13*g. Let h be (-10)/45*3*g. Factor 12/5*r**3 - 27/5 - 3/5*r**h - 36/5*r + 6/5*r**2.
-3*(r - 3)**2*(r + 1)**2/5
Let c(x) be the first derivative of -x**5/35 + 13*x**4/28 - 4*x**3/7 + 352. Factor c(z).
-z**2*(z - 12)*(z - 1)/7
Let -60*w**4 - 15*w**5 - 2*w**5 + 8*w**5 - w**3 - 107*w**3 - 48*w**2 = 0. Calculate w.
-4, -2, -2/3, 0
Let x(p) be the second derivative of -p**5/5 + 3*p**4 + 24*p**3 + 4*p + 45. Factor x(i).
-4*i*(i - 12)*(i + 3)
Let f = -572 + 576. Let w(b) be the third derivative of -1/48*b**f + 0*b**3 + 1/120*b**7 + 0*b + 0 + b**2 + 1/240*b**6 - 7/240*b**5. Let w(n) = 0. What is n?
-1, -2/7, 0, 1
Solve -6 + 2/3*r**2 + 0*r = 0 for r.
-3, 3
Let -7*g**4 - 14*g**3 - 24*g + 20*g**4 + 24*g**3 + g**2 - 17*g**2 - 11*g**4 = 0. What is g?
-6, -1, 0, 2
Let a be (-50)/(-12) - (-10)/12 - (-146)/(-30). Factor -8/15*x + a*x**2 + 2/5.
2*(x - 3)*(x - 1)/15
Let i(b) = -13*b**2 - 3*b - 10. Let q(c) = 6*c**2 + 2*c + 5. Let x(z) = 3*i(z) + 7*q(z). Let r(v) = -v**2 + v - 1. Let g(h) = -2*r(h) - 2*x(h). Factor g(m).
-4*(m + 1)*(m + 2)
Let u(t) = 2*t**3 - 198*t**2 - 2094*t + 5006. Let s(l) = l**3 - 197*l**2 - 2095*l + 5005. Let c(r) = 6*s(r) - 5*u(r). Factor c(b).
-4*(b - 2)*(b + 25)**2
Let i = 206201/7 + -29457. Factor 6/7*m**3 + 6/7*m**4 + i*m**2 + 0 + 2/7*m**5 + 0*m.
2*m**2*(m + 1)**3/7
Factor 4/3*c - 4/3 - 1/3*c**3 + 1/3*c**2.
-(c - 2)*(c - 1)*(c + 2)/3
Solve -19*z**2 + 144*z + 10*z**2 - 108 - 22*z**2 - 8*z**2 + 3*z**3 = 0.
1, 6
Let t = -1746 + 1749. Let 3