 s(o) be the second derivative of o**7/252 - o**6/360 - 7*o**5/240 + o**4/24 - 1130*o. Determine v so that s(v) = 0.
-2, 0, 1, 3/2
Let y(a) be the third derivative of -a**5/150 + 3*a**4/10 + 208*a**3/15 + 1969*a**2. Factor y(z).
-2*(z - 26)*(z + 8)/5
Let -115*r**4 - 106*r**4 - 4*r**2 + 225*r**4 + 36*r - 36*r**3 = 0. Calculate r.
-1, 0, 1, 9
Let r(n) be the second derivative of -n**6/210 - n**5/35 + 3*n**4/14 + 18*n**3/7 + 135*n**2/14 + 2*n - 191. Factor r(x).
-(x - 5)*(x + 3)**3/7
Let x(l) = -l**3 - l**2 - 3*l + 3. Let y be x(0). Let -20*o**y + 5 + 5*o**2 + 35*o**2 - 137*o + 112*o = 0. What is o?
1/2, 1
Let k(a) be the third derivative of a**7/20160 - a**6/576 + a**4/8 - 5*a**3/2 - 8*a**2 + a. Let l(g) be the second derivative of k(g). Factor l(o).
o*(o - 10)/8
Let s be 3/11 + -25*884/(-4675). Factor 3*o**2 - 1/2*o**3 + 1/2*o**s - 3*o**4 + 0 + 0*o.
o**2*(o - 6)*(o - 1)*(o + 1)/2
Let -3794*q**2 - 25281 + 7579*q**2 - 3786*q**2 + 318*q = 0. Calculate q.
159
Let z(k) be the second derivative of 3/20*k**5 + 54*k - 9/4*k**4 + 15/2*k**3 + 75/2*k**2 + 0. Factor z(a).
3*(a - 5)**2*(a + 1)
Let x(f) be the second derivative of -4*f**2 - 2*f**3 - 71*f + 3/5*f**5 + 0 + 2/15*f**6 + 1/3*f**4. Determine u, given that x(u) = 0.
-2, -1, 1
Let o(j) be the third derivative of j**6/300 + 2*j**5/25 + 9*j**4/20 + 9932*j**2. Suppose o(v) = 0. What is v?
-9, -3, 0
Let s(j) be the second derivative of -16/5*j**3 - 1/20*j**4 - 384/5*j**2 + 5*j + 4. Factor s(g).
-3*(g + 16)**2/5
Factor 7328*d**3 - 3884*d**3 + 1764*d**4 + 1 - 82*d + 1597*d**2 + 0.
(d + 1)**2*(42*d - 1)**2
Let u(n) be the first derivative of 5*n**6/6 + 23*n**5 + 315*n**4/2 + 410*n**3/3 - 635*n**2/2 - 525*n + 4979. Determine a, given that u(a) = 0.
-15, -7, -1, 1
Suppose 513 - 565 = -2*a. Let u(y) be the first derivative of -7/3*y**3 + 1/2*y**4 + 4*y**2 - 3*y - a. Factor u(z).
(z - 1)**2*(2*z - 3)
Find c such that 280*c + 235/3*c**2 - 3920/3 - 10*c**3 - 5/3*c**4 = 0.
-7, 4
Let q be (2430/1890 - (-5)/7) + (-18)/11. Let -q + 6/11*k**3 - 6/11*k + 2/11*k**2 + 2/11*k**4 = 0. What is k?
-2, -1, 1
Let v(f) be the second derivative of 8*f**7/21 - 10*f**6/3 - 54*f**5/5 - 17*f**4/3 + 16*f**3/3 + 1215*f. Find g, given that v(g) = 0.
-1, 0, 1/4, 8
Let a(x) be the second derivative of x**6/120 + x**5/20 + x**3/3 - 41*x**2 + 84*x. Let q(w) be the second derivative of a(w). Factor q(y).
3*y*(y + 2)
Let v = -3425 + 900777/263. Let x = v + 779/1315. Suppose -3/5*b + 0 - x*b**2 = 0. Calculate b.
-1, 0
Suppose -a = -4*n + 5, 5*n - 51 = -5*a + 24. Factor -3*l**3 + a*l + 67*l**2 - 72 - 89*l - 94*l**2.
-3*(l + 2)*(l + 3)*(l + 4)
Let j = -127576/11 - -2681758/231. Find s, given that -176/21*s - 32/21 - j*s**2 = 0.
-4/11
Let c(u) = -18*u - 250. Let y be c(-14). Let q = 1 + 2. Determine k so that -4*k**q + 4*k + 3*k**3 + 3 + 3*k**2 - 7*k - y = 0.
1
Let u(q) be the first derivative of q**3/5 - 387*q**2/10 - 1596*q/5 + 253. Determine c so that u(c) = 0.
-4, 133
Let f(i) = -i**3 - 18*i**2 - 48*i - 47. Let p be f(-15). Let l be 1/p + 19/(76/2). Factor -2/11*z**2 + l + 6/11*z.
-2*z*(z - 3)/11
Let x(p) be the third derivative of -p**5/48 - 415*p**4/24 - 34445*p**3/6 + 123*p**2 + p. Factor x(k).
-5*(k + 166)**2/4
Suppose 0 = -31*g + 128 - 4. What is o in -8*o**4 - 183 + 7*o**3 + 9*o**g + 746*o + 178*o + 1272 + 21*o**3 + 262*o**2 = 0?
-11, -3
Factor -10/7*h - 8/7 + h**2.
(h - 2)*(7*h + 4)/7
Suppose 12*i**5 - 3780*i - 5400 - 36*i**4 + 14*i**5 + 1806*i**2 - 29*i**5 + 208*i**3 - 55*i**3 = 0. Calculate i.
-10, -1, 3, 6
Suppose -2*j = 2*i - 88, -3*i - 4*j + 73 = -64. Suppose 37*x + 5*h = i*x + 14, h = -x + 7. What is a in -8/5*a - 2/5*a**2 + 8/5 + 2/5*a**x = 0?
-2, 1, 2
Suppose -22*w = -21 - 89. Factor -3*x - 15*x - 4*x**2 - 15*x + w*x.
-4*x*(x + 7)
Let i be 1/6*2 - 170/15. Let h be (-2)/(36/86) + (-55)/i. Determine m, given that h*m**5 + 2/9*m**2 + 0*m + 2/3*m**3 + 2/3*m**4 + 0 = 0.
-1, 0
Let d(o) be the third derivative of -o**4/8 + 7*o**3 - 24*o**2. Let g be d(13). Determine j so that -12*j**g + 28*j**3 - 3*j**3 + j**4 - 10*j**3 + 2*j**2 = 0.
-2, -1, 0
Let o = 1/210 - -1399/210. Let u = o - 91/15. Let -3 + u*g**2 + 12/5*g = 0. Calculate g.
-5, 1
Let c(t) be the third derivative of -t**6/24 - 11*t**5/60 - t**4/4 - 881*t**2 - t. Let c(j) = 0. What is j?
-6/5, -1, 0
Let g be ((-72)/30)/(-6) - (-504)/15. Let m be g/(-56) - (-330)/385. Factor -3/8*k - m*k**2 + 1/4 + 1/2*k**3 + 0*k**4 - 1/8*k**5.
-(k - 1)**3*(k + 1)*(k + 2)/8
Suppose 3*t = 3*q + 21, -8*q = 2*t + 2477 - 2441. Factor -9/4 - 3*x - 1/4*x**4 + 1/2*x**t + x**3.
-(x - 3)**2*(x + 1)**2/4
Let i = 96664/15 + -6444. Let n be 2/(-4)*(-4)/5. Suppose -n*c**2 + 0 - i*c - 2/15*c**3 = 0. Calculate c.
-2, -1, 0
Let u(x) = -x**2 + x + 1. Suppose z + 35 = 4*h, -5*h = -3*z + 6*z - 31. Let j(i) = 10*i**2 - 7 - 5 - 11*i - h - 4*i. Let a(p) = j(p) + 5*u(p). Factor a(q).
5*(q - 3)*(q + 1)
Let k = -213060 - -213062. Factor 400 + 4/9*u**k - 80/3*u.
4*(u - 30)**2/9
Let g(q) = 3*q**2 + 4*q + 1. Let l(c) = 5*c**3 + 1437*c**2 - 24*c - 6. Let s(y) = 6*g(y) + l(y). Suppose s(m) = 0. What is m?
-291, 0
Let m(d) = -d**3 + 26*d**2 - 165*d + 170. Let y be m(8). Suppose -3/5*k**3 + 0*k**y - 18/5 + 21/5*k = 0. What is k?
-3, 1, 2
Suppose -2*l = u + 1193, 3*u = -5*l - 2507 - 477. Let b = 598 + l. Factor 0 - x**4 + 1/5*x**2 + 0*x + 1/5*x**b + 3/5*x**5.
x**2*(x - 1)**2*(3*x + 1)/5
Let w(v) be the first derivative of 1/6*v**3 + 0*v - 2*v**2 + v**4 - 197 - 1/10*v**5. Factor w(o).
-o*(o - 8)*(o - 1)*(o + 1)/2
Let l = -1636 + 1639. Let q(d) be the first derivative of 25 - d**2 + 1/2*d**4 - 2/3*d**l + 2*d. Factor q(m).
2*(m - 1)**2*(m + 1)
Let k(x) be the first derivative of 3*x**4/4 - 69*x**3 + 1836*x**2 - 3468*x - 44. Factor k(p).
3*(p - 34)**2*(p - 1)
Let g be (-1 - -8)/(23/138). Let l be 30/14 + (-1 + -5)/g. Let -2/11*c**l + 12/11*c - 16/11 = 0. What is c?
2, 4
Factor 3/2*g**5 + 27/2*g**3 + 3*g + 0 - 21/2*g**2 - 15/2*g**4.
3*g*(g - 2)*(g - 1)**3/2
Suppose 2 = 4*i - 6. Determine h so that h + 2*h**i + 111 - 105 - 9*h = 0.
1, 3
Let o(n) be the third derivative of n**7/840 + n**6/48 - 3*n**5/20 + 25*n**4/2 + 34*n**2. Let k(v) be the second derivative of o(v). Let k(b) = 0. Calculate b.
-6, 1
Let q(m) be the second derivative of 2/75*m**6 + 4/25*m**5 - 6 + 0*m**4 - 3*m + 0*m**2 + 0*m**3. Factor q(u).
4*u**3*(u + 4)/5
Let z be (198/20)/((-10465)/(-325) - 31). Factor 57/4*u - 27/4 - z*u**2 + 3/4*u**3.
3*(u - 9)*(u - 1)**2/4
Let w = -1/13163 - -39494/65815. Factor -768/5 - 96/5*m - w*m**2.
-3*(m + 16)**2/5
Let k(m) be the second derivative of 25 + 6/19*m**2 - m + 35/57*m**3 + 11/114*m**4. Factor k(j).
2*(j + 3)*(11*j + 2)/19
Suppose 4399*k + 216 = 4471*k. Suppose -28/5*g**k - 272/5*g - 138/5*g**2 - 32 - 2/5*g**4 = 0. What is g?
-5, -4, -1
Let c = 9197 + -496637/54. Let a(f) be the second derivative of 0*f**2 + 0 + c*f**4 - 3*f - 1/27*f**3. Factor a(t).
2*t*(t - 1)/9
Let q(z) be the second derivative of -107*z - 23/8*z**2 - 25/48*z**4 - 47/24*z**3 + 0 - 1/80*z**5. Factor q(s).
-(s + 1)**2*(s + 23)/4
Let j(v) be the first derivative of v**6/24 - 2*v**5/5 - 21*v**4/8 - 17*v**3/3 - 47*v**2/8 - 3*v - 966. Factor j(b).
(b - 12)*(b + 1)**4/4
Let z(l) be the third derivative of l**7/1050 + 29*l**6/600 + l**5/2 + 71*l**4/30 + 92*l**3/15 - 6*l**2 + 2. Find t, given that z(t) = 0.
-23, -2
Let i(n) = 34*n + 3029. Let j be i(-89). Let z(v) be the first derivative of 27/2*v**2 - 9 - 15/4*v**4 + 0*v + 3/5*v**5 + j*v**3. Find b, given that z(b) = 0.
-1, 0, 3
Suppose -88 = -10*t - 158. Let p(x) = -17*x**2 - 559*x + 182. Let o(n) = -32*n**2 - 1117*n + 365. Let z(a) = t*p(a) + 4*o(a). Factor z(r).
-3*(r + 62)*(3*r - 1)
Suppose 121*b - 138 = 98*b. Let g(p) be the second derivative of -2/3*p**3 + 13*p + 0 - 3/5*p**5 + 2/15*p**b + p**4 + 0*p**2. Factor g(s).
4*s*(s - 1)**3
Let p be ((-330)/220)/((-6)/8) - (-60)/(-35). Let 2/7*w**3 + 0 + p*w**2 + 0*w = 0. What is w?
-1, 0
Let x = -1479 - -1481. Let s(y) be the first derivative of 35/3*y**3 - 10*y - 25/2*y**x - 23. Suppose s(k) = 0. What is k?
-2/7, 1
Let x(y) be the second derivative of 1/98*y**7 - 1/28*y**4 + 9/140*y**5 + 0*y**3 - 2 + 0*y**2 - 42*y - 3/70*y**6. Factor x(m).
3*m**2*(m - 1)**3/7
Let v(h) be the first derivative of -h**7/168 + h**5/10 - 2*h**3/3 + 52*h - 56. Let f(m) be the first de