 49*v**4/6 - 16*v**3 + 7*v**2 + 54. Determine x so that g(x) = 0.
-1, -1/2, 2, 3, 8
Let s(y) = y**2 + y + 2. Let v(u) = -4*u**2 + 91*u - 67. Let p(r) = 44*s(r) + 4*v(r). Determine w so that p(w) = 0.
-15, 3/7
Let j(u) be the third derivative of 8*u**7/525 - 14*u**6/25 + 159*u**5/25 - 208*u**4/15 + 66*u**3/5 - 2508*u**2. Solve j(h) = 0.
1/2, 9, 11
Let k be (-294)/126*(-1)/91. Let r(g) be the second derivative of -1/273*g**7 + 0*g**2 + 2/195*g**6 + 1/39*g**3 + 0 + 15*g - k*g**4 + 0*g**5. Factor r(i).
-2*i*(i - 1)**3*(i + 1)/13
Let k(h) = -5*h**5 - 15*h**4 - 3*h**3 + 15*h**2 - 8*h. Let p(a) = 6*a**5 + 17*a**4 + 2*a**3 - 15*a**2 + 10*a. Let x(s) = -5*k(s) - 4*p(s). Factor x(t).
t**2*(t - 1)*(t + 3)*(t + 5)
Let k(m) = -30*m - 418. Let s(b) = 87*b + 1254. Let u(q) = -17*k(q) - 6*s(q). Let y be u(-35). Factor 6/7*r**y + 8/7 - 24/7*r + 10/7*r**3.
2*(r - 1)*(r + 2)*(5*r - 2)/7
Let p(j) be the first derivative of -j**6/24 + j**5/5 - 183. Find i such that p(i) = 0.
0, 4
Suppose -286 = -5*k + 5*z - 2*z, -4*z - 47 = -k. Let h = k - 56. Solve 2*o**4 - 22*o**2 + 36*o + 6*o**3 - 6*o**h - 14 - 2 = 0.
-4, 1, 2
Let i(z) = 2*z**4 - z**3 + 14*z**2. Let c = -396 - -391. Let h(v) = -3*v**4 - 15*v**2. Let x(p) = c*h(p) - 6*i(p). Factor x(w).
3*w**2*(w - 1)*(w + 3)
Let m = -2513 - -2513. Let r(j) be the first derivative of 0*j**2 + m*j - 5/2*j**4 + j**5 + 5/6*j**6 - 1 + 0*j**3. Factor r(q).
5*q**3*(q - 1)*(q + 2)
Let w(c) be the third derivative of 0*c + 1/120*c**6 + 74*c**2 + 0*c**3 + 1/30*c**5 + 0 - 1/8*c**4. Factor w(p).
p*(p - 1)*(p + 3)
Let n(s) = s**3 + s**2 + 9*s + 25. Suppose 4*l + 2 = -3*a, -2*a = l - 72 + 70. Let p be n(l). Solve 98/5*o + 2/15*o**p + 686/15 + 14/5*o**2 = 0 for o.
-7
Suppose 3*j = -2*y + 14, -j = 2*y - 6 - 0. Suppose 15*d**2 + 9*d**2 + 3*d**4 - 144 - 19*d**3 + 96*d - d**3 - j*d**3 = 0. Calculate d.
-2, 2, 6
Let w(f) be the third derivative of -f**6/30 - 38*f**5/15 + 30*f**4 + 336*f**3 + 6915*f**2. Let w(h) = 0. Calculate h.
-42, -2, 6
Suppose -298201*k + 298326*k = 250. Let -18/5 - 116/5*l**k + 74/5*l - 26/5*l**4 + 84/5*l**3 + 2/5*l**5 = 0. What is l?
1, 9
Let m(z) = z**4 + 32*z**3 - 37*z**2 - 72*z + 2. Let r(w) = 3*w**4 + 95*w**3 - 111*w**2 - 217*w + 7. Let q(u) = 7*m(u) - 2*r(u). Find s such that q(s) = 0.
-35, -1, 0, 2
Let r(h) be the third derivative of -h**7/175 - 17*h**6/150 + 4*h**5/25 - 699*h**2. Let r(d) = 0. What is d?
-12, 0, 2/3
Let p(h) = -34*h**2 - 382*h + 3806. Let n(o) = 12*o**2 - 6*o - 2. Let u(s) = -6*n(s) - 2*p(s). Factor u(l).
-4*(l - 190)*(l - 10)
Let h(z) be the second derivative of 0*z**3 + 5 - 2/21*z**7 - 4*z + 0*z**2 + 0*z**6 + 3/5*z**5 - 2/3*z**4. Find p such that h(p) = 0.
-2, 0, 1
Let n(m) be the second derivative of m**7/105 + m**6/20 - 49*m**2/2 + 3*m - 1. Let g(y) be the first derivative of n(y). What is c in g(c) = 0?
-3, 0
Factor 16/5*g + g**2 - 1/5*g**3 - 16.
-(g - 5)*(g - 4)*(g + 4)/5
Let p(k) be the second derivative of -k**7/6300 - 2*k**6/675 - 31*k**3/6 - 4*k + 17. Let f(q) be the second derivative of p(q). Factor f(r).
-2*r**2*(r + 8)/15
Let c(b) be the second derivative of b**5/330 + 17*b**4/132 + 10*b**3/11 + 29*b**2/2 + b - 2. Let h(s) be the first derivative of c(s). Factor h(z).
2*(z + 2)*(z + 15)/11
Let c(l) = -l**5 - l**4 + l**2 + l - 1. Let o(i) = -164*i**5 + 1227*i**4 - 1182*i**3 - 481*i**2 + 450*i + 155. Let u(j) = 5*c(j) + o(j). What is d in u(d) = 0?
-5/13, 1, 6
Let l = -93 - -101. Let m(j) be the first derivative of 3/7*j**4 + 26/21*j**3 - l + 8/7*j + 12/7*j**2 + 2/35*j**5. Find c such that m(c) = 0.
-2, -1
Let q(r) = r**2 - 8*r + 9. Let u(i) = 3*i**2 - 1. Let b be u(2). Let m be q(b). Factor -2*v + m*v**3 - 16*v**3 - 24*v**3.
2*v*(v - 1)*(v + 1)
Let r = 163430 - 163425. Suppose 3*m + m = 0. Determine d so that 2/3*d**r + 0 + 0*d**2 - 4/3*d**4 + 0*d + m*d**3 = 0.
0, 2
Find w such that 219*w**2 - 5*w**4 - 74*w**2 - 38*w**2 - 72*w**2 - 10*w**3 - 20*w = 0.
-4, 0, 1
Let j(d) be the first derivative of 121/2*d - 108 + 1/6*d**3 - 11/2*d**2. Factor j(z).
(z - 11)**2/2
Let u = 127 + -103. Determine d, given that 8*d**3 + 20*d**4 - 34*d**4 + 2*d**5 + 8*d**2 + 8*d**3 + u*d**2 = 0.
-1, 0, 4
Let y(n) be the first derivative of -40*n**3/3 + 3115*n**2/6 + 130*n/3 - 1923. Factor y(z).
-5*(z - 26)*(24*z + 1)/3
Let t = 0 + 2. Let f(o) = o**2 - 895*o - 6314. Let n be f(-7). Suppose 0*i**t - 1/4*i**4 + 0*i**3 + n*i + 0 + 1/4*i**5 = 0. What is i?
0, 1
Let h be ((-2)/6)/(2225/(-5340)). Factor h*y**3 + 12/5*y**2 - 16/5*y + 0.
4*y*(y - 1)*(y + 4)/5
Let r(u) be the third derivative of -11/8*u**4 + 1/2*u**5 + 0*u**3 + 2*u**2 + 0 + 32*u + 1/40*u**6. Factor r(f).
3*f*(f - 1)*(f + 11)
Suppose -2*u = -3*o - 14, 186*u - 187*u + 7 = 5*o. Let -14/5*f**2 + 6/5*f - 2/5*f**4 + o + 2*f**3 = 0. What is f?
0, 1, 3
Suppose 5*i = 16*w - 86, 18 - 32 = -i - 2*w. Find u such that -1/4*u**i - 11/2*u + 23/4 = 0.
-23, 1
Let g(w) be the second derivative of -w**7/21 - 2*w**6/3 + 18*w**5/5 - 19*w**4/3 + 13*w**3/3 - 2079*w. Factor g(x).
-2*x*(x - 1)**3*(x + 13)
Suppose 4710*q - 1611 = 4709*q. Let r = -1611 + q. Factor r + 1/4*n**2 - 5/2*n.
n*(n - 10)/4
Let d = 1539/4450 - 29/89. Let g(b) be the second derivative of 1/75*b**6 + 0 + 0*b**2 - 1/30*b**4 + d*b**5 - 29*b - 1/15*b**3. Factor g(h).
2*h*(h - 1)*(h + 1)**2/5
Let u = -329/60 + 409/60. Determine q, given that 2/3*q**2 - 2*q + u = 0.
1, 2
Let b(q) be the third derivative of -3*q**8/28 + 127*q**7/21 - 2683*q**6/30 - 138*q**5 - 54*q**4 + q**2 - 13*q - 95. Solve b(o) = 0.
-1/2, -2/9, 0, 18
Let m(y) = -5*y - 42. Let z be m(-10). Solve 40*t**2 - 4*t**4 + z*t - 13*t**2 + 6*t**3 - 2*t**5 - 11*t**2 + 0*t**2 = 0.
-2, -1, 0, 2
Let m(s) = -s**3 - 55*s**2 + 162*s - 111. Let z(l) = -l**3 - 55*l**2 + 160*l - 110. Let k(w) = -6*m(w) + 5*z(w). Factor k(a).
(a - 2)*(a - 1)*(a + 58)
Let f(o) be the second derivative of 0*o**2 - 86*o + 0*o**6 + 10/3*o**3 - 1/2*o**5 + 0 + 5/168*o**7 + 0*o**4. What is d in f(d) = 0?
-2, 0, 2
Let k(z) be the first derivative of -5*z**3/3 - 752*z**2 + 301*z + 4606. Factor k(f).
-(f + 301)*(5*f - 1)
Factor -6/13*p**2 - 112/13*p - 34.
-2*(p + 13)*(3*p + 17)/13
Let f(g) = -3*g**3 + 3*g**2. Let b(t) = 3*t**5 + 93*t**4 + 975*t**3 + 4449*t**2 + 7644*t + 4116. Let y(r) = -b(r) + 6*f(r). Suppose y(s) = 0. Calculate s.
-14, -7, -2, -1
Factor 767*n - 588289/2 - 1/2*n**2.
-(n - 767)**2/2
Suppose 2*s = -m + 5*m - 92, 4*s + 2*m = -154. Let q = -36 - s. Factor 5*t**3 + 2*t**2 - 6*t**3 + 3*t**2 + 5*t**5 - 5*t**4 - q*t**3.
5*t**2*(t - 1)**2*(t + 1)
Suppose -397*f = -402*f - 4*o + 2, -2*f + 14 = -5*o. Let d(p) be the second derivative of 4/3*p**f + 2/3*p**3 - 14*p + 0 + 1/9*p**4. Factor d(w).
4*(w + 1)*(w + 2)/3
Suppose 0 = -2*k - 23 + 31. Suppose j = -k*m + 9*m + 27, -16 = -3*j + 2*m. Factor -29*z + 12 + j*z - 3*z**3 + 6*z**2 + 3*z**2 + 9*z**2.
-3*(z - 4)*(z - 1)**2
Let r = 80074 - 400354/5. Let -4/5 - r*n**2 + 4*n = 0. Calculate n.
1/4, 1
Suppose 0 + 1/2*u**2 - 431/2*u = 0. What is u?
0, 431
Let k = 18 - 10. Let u = 1705/18 - 1681/18. Factor -k*p - u - 20/3*p**2.
-4*(p + 1)*(5*p + 1)/3
Let b = 855 + -849. Suppose -3*l - 15 = 0, 10 = j + 4*l - b*l. Factor -27/7*v**4 - 45/7*v**3 - 3/7*v - 3*v**2 + j.
-3*v*(v + 1)*(3*v + 1)**2/7
Determine o, given that -1922/9*o**4 - 45578/9*o**2 + 680*o - 2108*o**3 - 200/9 = 0.
-5, 2/31
Find k such that -1107*k - 941*k - 4972*k**2 - 51*k**4 + 3*k**5 + 2947*k**2 - 238*k + 180*k - 621*k**3 = 0.
-3, 0, 26
Let b(q) be the first derivative of q**5/5 + 83*q**4 + 12426*q**3 + 736622*q**2 + 6475145*q + 6075. Factor b(f).
(f + 5)*(f + 109)**3
Let g(k) be the second derivative of 3*k**5/160 - 7*k**4/32 - 5*k**3/8 + 3*k**2 - 1884*k. Let g(h) = 0. What is h?
-2, 1, 8
Let w be (-1525)/(-366) - (-3)/(-18). Let s(z) be the third derivative of 0*z + 81/8*z**3 + 18*z**2 + 1/80*z**5 - 9/16*z**w + 0. Solve s(k) = 0 for k.
9
Factor -448*k**2 + 576 + 796*k**2 + 1277*k + 3*k**4 - 509*k + 60*k**3.
3*(k + 2)**2*(k + 4)*(k + 12)
Let y(h) be the first derivative of -2*h**6/69 + 2*h**5/5 + 75*h**4/23 - 3782*h**3/69 + 820*h**2/23 + 1800*h/23 + 2812. Find d, given that y(d) = 0.
-9, -1/2, 1, 10
Let s(w) be the second derivative of w**7/273 + 8*w**6/195 - 43*w**5/130 + 29*w**4/39 - 8*w**3/13 + 36*w + 2. Suppose s(f) = 0. Calculate f.
-12, 0, 1, 2
Let o(l) be the third derivative of 