e the first derivative of u**6/5 - 88*u**5/25 + 61*u**4/10 + 112*u**3/15 - 52*u**2/5 - 2872. Let m(c) = 0. What is c?
-1, 0, 2/3, 2, 13
Let v(u) = 8*u**2 + 2*u - 10. Let i(d) = -d**2 + 1. Let c = -38 - -52. Let j(l) = c*i(l) + 2*v(l). Factor j(f).
2*(f - 1)*(f + 3)
Find i such that 17/6*i**2 + 1/6*i**3 + 0 - 10*i = 0.
-20, 0, 3
Factor -1992*i - 162*i**3 + 52285 - 3*i**4 - 53554 - 1032*i**2 - 150*i.
-3*(i + 1)*(i + 3)**2*(i + 47)
Let t = 1608 + -1603. Let v be (4 - 15/3)*(t + -7). Factor 0 + 0*g - g**3 + 1/5*g**4 + 4/5*g**v.
g**2*(g - 4)*(g - 1)/5
Let w(d) be the second derivative of -d**4/15 + 112*d**3/15 + 426*d**2 + 8127*d. Determine a, given that w(a) = 0.
-15, 71
Find j, given that 557*j**3 + 316*j**4 + 1394*j**2 + 119*j**2 + 135*j**2 + 37*j**5 + 800*j - 5*j**5 + 555*j**3 - 128 = 0.
-4, -2, 1/8
Solve 2/5*g**3 - 66/5*g + 504/5 - 8*g**2 = 0.
-4, 3, 21
Let t(v) = v**2 + 120*v + 3736. Let q be t(-85). Suppose 0*f = 5*f - 20. Suppose -2*y**4 - 761*y**3 + q*y**3 + y**f + 5*y**2 - 4 = 0. Calculate y.
-2, -1, 1, 2
Factor -4*j**2 + 1159 - 129*j + 7*j**2 + 137.
3*(j - 27)*(j - 16)
Let i(m) = -2*m**4 + m**2 - 5*m + 1. Let s(g) = -19*g**4 - 6*g**3 + 17*g**2 - 4*g + 2. Let b(j) = 2*i(j) - s(j). Determine d so that b(d) = 0.
-1, -2/5, 0, 1
Let m(c) be the first derivative of c**3/9 - 10*c**2 + 500*c/3 - 3979. Factor m(p).
(p - 50)*(p - 10)/3
Determine l so that -49152/5 + 2/5*l**4 - 1024/5*l + 84/5*l**3 + 192*l**2 = 0.
-16, 6
Let q(w) be the third derivative of -5*w**8/336 + 3*w**7/14 - 23*w**6/24 + 5*w**5/4 + 4*w**2 + 200*w. Let q(s) = 0. Calculate s.
0, 1, 3, 5
Let -96 + 160/3*v + 14/9*v**2 = 0. Calculate v.
-36, 12/7
Let q(r) = -r**4 + r + 1. Let a(o) = 5*o**4 - 6*o**3 - 2*o**2 + 3*o - 3. Suppose -6*n + 9 = 21. Let z(d) = n*a(d) - 6*q(d). Factor z(s).
-4*s*(s - 3)*(s - 1)*(s + 1)
Let -32 + 4606/9*m + 32/9*m**2 = 0. Calculate m.
-144, 1/16
Let v be (20/5)/(-4)*86/(-258). Find y such that -4*y + v*y**2 + 0 = 0.
0, 12
Let m be (6/15)/((-2369)/(-123188)). Find i, given that 0 - m*i + 2/5*i**2 = 0.
0, 52
Suppose 745/2*l - 370*l**2 + 0 - 5/2*l**3 = 0. Calculate l.
-149, 0, 1
Factor 3864*l - 3 + 21 + 64 - 10 + 51842*l**2.
2*(161*l + 6)**2
Factor 270 - 4937*v**4 - 3*v**2 + 2466*v**4 + 2472*v**4 + 135*v**3 - 403*v.
(v - 1)**2*(v + 2)*(v + 135)
Let q(d) = -2*d**2 - 19*d - 16. Let x be q(-8). Suppose 1 + 12*w**3 + 47*w + 9*w - x*w**3 - 28*w**2 - 33 = 0. What is w?
1, 2, 4
Let q(y) be the third derivative of -5*y**8/168 - 53*y**7/105 - 79*y**6/30 - 18*y**5/5 + 6*y**4 - 15698*y**2. Suppose q(z) = 0. What is z?
-6, -3, -2, 0, 2/5
Let l(v) = v**4 + 7*v**2 - 8*v + 8. Suppose -5*a = 4*j - 132, 3*a + 3*j = -8 + 89. Let h(m) = -m**3 - m**2 - m + 1. Let o(n) = a*h(n) - 3*l(n). Factor o(p).
-3*p**2*(p + 3)*(p + 5)
Let -3628/3*j + 3290596/3 + 1/3*j**2 = 0. Calculate j.
1814
Let v(z) = 3*z**2 - 3*z. Let n(k) = -12*k**2 - 102*k + 492. Let x(j) = n(j) + 3*v(j). Determine u, given that x(u) = 0.
-41, 4
Let z be ((-9)/(-6))/(3/174). Factor -67 + z - u**2 - 344 + 36*u.
-(u - 18)**2
Determine u so that 32*u**2 + u**3 - 340*u - 29*u**2 + 220 - 6*u**3 + 68*u**2 + 54*u**2 = 0.
1, 2, 22
Let i = 119/1410 - -3287/2820. Solve -i*y**2 + 1/4*y**3 + 0 + 0*y = 0.
0, 5
Let s = -43537/8 - -10885/2. What is h in -99/8*h - s*h**3 + 15/4*h**2 + 27/2 = 0?
3, 4
Let w(y) = -2470*y + 22232. Let h be w(9). Let -36 + 30*x + 1/4*x**3 + 23/4*x**h = 0. Calculate x.
-12, 1
Let q(c) be the third derivative of 3*c**2 - 1/4*c**5 + 0 + 9/2*c**3 + 8*c + 1/80*c**6 + 7/16*c**4. Factor q(y).
3*(y - 9)*(y - 2)*(y + 1)/2
Let a(p) be the third derivative of -17/84*p**4 + 2/7*p**3 + 17/210*p**5 + 3*p**2 + 0*p - 1/60*p**6 - 40 + 1/735*p**7. Determine r, given that a(r) = 0.
1, 2, 3
Let c = -397 - -513. Factor c*r - 130 + 92*r - 15*r**2 - 113*r.
-5*(r - 2)*(3*r - 13)
Suppose -j + y = 8 - 38, y + 166 = 5*j. Factor j*w + 227 + w**2 - 110 + 172.
(w + 17)**2
Let z be 3/4*((-72)/26)/(-6). Let g = 167/182 - z. What is v in 4/7*v**4 + 0 + 16/7*v - g*v**3 - 16/7*v**2 = 0?
-2, 0, 1, 2
Let u(x) be the second derivative of 3/20*x**5 + 1/2*x**3 + 11/24*x**4 + 1/60*x**6 + 0*x**2 + 2 + 14*x. Factor u(l).
l*(l + 1)*(l + 2)*(l + 3)/2
Let y = 648637 - 4540436/7. Determine r, given that -r**2 + 16/7 - 9/7*r**4 + 24/7*r - y*r**3 - 1/7*r**5 = 0.
-4, -1, 1
Let c(g) be the third derivative of 0*g + 4/9*g**3 + 1/360*g**6 + 7/180*g**5 - 135*g**2 + 7/36*g**4 + 0. Solve c(r) = 0 for r.
-4, -2, -1
Let j(n) be the first derivative of 4*n**5/5 - 2*n**4 - 52*n**3/3 - 20*n**2 - 3896. Factor j(i).
4*i*(i - 5)*(i + 1)*(i + 2)
Let l(c) be the second derivative of 146*c + 0*c**2 + 5/12*c**4 - 35/6*c**3 + 0. Let l(n) = 0. Calculate n.
0, 7
Let f(j) be the first derivative of -j**7/24 - 5*j**6/12 + 9*j**5/8 + 25*j**4/12 + 221*j**3/3 + 52. Let z(n) be the third derivative of f(n). Factor z(s).
-5*(s - 1)*(s + 5)*(7*s + 2)
Let u be (-1 + (-51)/(-49))/(1826/52373). Let m = u + 5/49. Determine i so that 0 + 6/11*i + 2/11*i**4 + m*i**2 + 10/11*i**3 = 0.
-3, -1, 0
Let n(h) = 2*h**2 + 21*h - 32. Let d be n(-12). Suppose -3*z - 3*r = 0, 5*z + 3*r + 0*r - d = 0. Factor 2 + 2*m**3 - 7*m + 0*m**3 + 5*m - 2*m**z.
2*(m - 1)**2*(m + 1)
Let x(d) be the first derivative of 2*d**3/3 + 84*d**2 - 344*d - 257. Factor x(z).
2*(z - 2)*(z + 86)
Let 0 + 0*c**2 - 110*c**3 - 5/2*c**5 - 60*c**4 + 0*c = 0. Calculate c.
-22, -2, 0
Let t = 27 - 25. Suppose t*f - 260 = c - 5*c, 10 = 5*f. Factor 96*g - 16*g**2 - g**2 - 19*g**2 - c + 4*g**3.
4*(g - 4)**2*(g - 1)
Let j be (-1 - -1)*(-47)/(-188). Suppose 0 = 4*n + 5*b, -7*b + 5*b = j. Suppose 0*d - 2/13*d**2 - 6/13*d**3 - 4/13*d**4 + n = 0. What is d?
-1, -1/2, 0
Solve -4/7*w**5 + 44/7*w**3 + 16/7*w**4 + 24/7*w**2 + 0*w + 0 = 0.
-1, 0, 6
Let w(m) be the first derivative of -m**4/2 - 92*m**3/3 - 88*m**2 + 57. Factor w(c).
-2*c*(c + 2)*(c + 44)
Let h = 77658 + -77656. Let 0*m**3 + 4/5*m + 9/5*m**h - 1/5*m**4 - 12/5 = 0. Calculate m.
-2, 1, 3
Let r = -184 - -244. Suppose 41*g + 35*g**2 + 33*g**2 + 14*g - 63*g**2 - r = 0. Calculate g.
-12, 1
Let w(d) be the first derivative of 4*d**3/3 - 8018*d**2/7 - 4584*d/7 - 80. Factor w(s).
4*(s - 573)*(7*s + 2)/7
Let m(f) = 103139*f + 206292. Let h be m(-2). Factor 2/3*p**2 + h + 20/3*p.
2*(p + 3)*(p + 7)/3
Let j = -405512 + 1622051/4. Suppose 3/4*m**4 - 6*m - 3 - j*m**2 + 15/4*m**3 - 3/4*m**5 = 0. What is m?
-1, 2
Let d(s) be the first derivative of -2*s**6/3 - 2388*s**5/5 - 88203*s**4 + 1072804*s**3/3 - 538800*s**2 + 360000*s - 2821. Factor d(w).
-4*(w - 1)**3*(w + 300)**2
Factor -214/5*y + 204 + 2/5*y**2.
2*(y - 102)*(y - 5)/5
Suppose -3*k - 3*l = -21, 5*k - 3*l - 4 = 15. Find z such that 6*z - 2*z - k*z**2 + 19*z + 2*z = 0.
0, 5
Let q be 5 + 2975/275 - (10 - -5). What is f in -6/11*f**2 - 1/11*f**3 + 0 - q*f = 0?
-3, 0
Let a(u) be the first derivative of u**4/6 + 2*u**3 - 7*u**2 - 67*u + 21. Let m(h) be the first derivative of a(h). Factor m(l).
2*(l - 1)*(l + 7)
Let j(g) be the second derivative of 13 - 8/3*g**4 + 4/3*g**3 + 2/21*g**7 + 21/10*g**5 - 11/15*g**6 + 0*g**2 + g. Determine p, given that j(p) = 0.
0, 1/2, 1, 2
Let d = -30141/2 - -15071. Let s(w) be the third derivative of -d*w**4 + 0*w + 12*w**2 + 0 + 4/3*w**3 + 1/15*w**5. Factor s(n).
4*(n - 2)*(n - 1)
Let q(m) = 11*m**2 + 882*m - 989. Let k(i) = 4*i**2 + 293*i - 333. Let n(w) = 8*k(w) - 3*q(w). Factor n(j).
-(j - 1)*(j + 303)
Factor 205 + 302 - 398*c + 2*c**2 - 40 - 71.
2*(c - 198)*(c - 1)
Let p = -7655/42 + 1276/7. Let l(r) be the second derivative of -1/15*r**6 + r + 0*r**2 + 0*r**3 - 1/20*r**5 + 0 + 1/6*r**4 + p*r**7. Solve l(a) = 0.
-1, 0, 1, 2
Let u(s) be the third derivative of -71*s**2 - 11/45*s**5 + 1/180*s**6 + 0*s**4 + 0 + 0*s**3 + 0*s. Solve u(k) = 0.
0, 22
Let i(m) be the first derivative of 4*m**5 - 245*m**4/4 + 330*m**3 - 1575*m**2/2 + 810*m + 7074. Determine n so that i(n) = 0.
1, 9/4, 3, 6
Let f = -13 - -20. Suppose 0*d = f*d - 875. Suppose -d + 125 + 4*m**2 - 4*m = 0. Calculate m.
0, 1
What is p in -5800/7*p - 2/7*p**2 - 4205000/7 = 0?
-1450
Let k = 276399/7 - 39485. Let y(p) be the second derivative of 13 + 1/42*p**4 + p + k*p**2 - 5/21*p**3. Let y(t) = 0. What is t?
1, 4
Let l(m) be the second derivative of 1/140*m**5 - 3 - 28*m + 13/7*m**4 + 1352/7*m**3 + 70304/7*m**2. Determine h so that l(h) = 0.
-52
Determine