y(n) be the first derivative of 8*n**3/3 - 135*n**2/2 + 6310. Let y(b) = 0. What is b?
0, 135/8
Find f such that -923/6*f**2 + 0 + 20*f + 541/2*f**3 - 8/3*f**5 + 100*f**4 = 0.
-3, 0, 1/4, 40
Let s(p) be the first derivative of -p**4/2 + 986*p**3/5 - 109224*p**2/5 - 43808*p/5 + 1596. Factor s(t).
-2*(t - 148)**2*(5*t + 1)/5
Let z(r) be the second derivative of 3*r**5/50 + 33*r**4/5 + 91*r**3 - 1566*r**2/5 + 296*r - 8. Factor z(w).
6*(w - 1)*(w + 9)*(w + 58)/5
Let q = 190 + -158. Factor -29*j**3 + 16*j**2 - 13 - 21*j**3 + 18*j**3 + 14*j**4 + q*j - 2*j**5 - 19.
-2*(j - 2)**4*(j + 1)
Let x(s) be the first derivative of s**6/33 + 24*s**5/55 + 20*s**4/11 + 20*s**3/11 - 41*s**2/11 - 84*s/11 - 99. Find m such that x(m) = 0.
-7, -3, -2, -1, 1
Suppose -2*c - 5 = -4*c - l, -3*c + 10 = l. Suppose -c*z + 70 = 3*u + 2*u, 2*u - 10 = 0. What is f in 5*f**2 + z*f + 5*f - 4*f + 5 = 0?
-1
Let q(x) = 24*x**3 + 71*x**2 - 130*x + 63. Let y(v) = -10*v**3 - 35*v**2 + 64*v - 31. Let m(t) = -6*q(t) - 14*y(t). Determine f, given that m(f) = 0.
1, 14
Let n be ((-12)/63)/(8/(-18)). Let j = -25 + 27. Factor -n*u - 6/7 + 3/7*u**j.
3*(u - 2)*(u + 1)/7
Suppose y - 1 = -0, 4*z = 4*y + 20. Let d be 9 - (z + (-42)/(-24)). Factor 0*s**3 - 5/4*s**4 - d + 5/2*s**2 + 0*s.
-5*(s - 1)**2*(s + 1)**2/4
Factor -4071*m - 2524*m + 4182*m + 4704500*m**2 - 1133 + 1138 - 7287*m.
5*(970*m - 1)**2
Let d(f) be the second derivative of f - 1/24*f**4 - 5/12*f**3 + 6 - 3/2*f**2. Suppose d(v) = 0. What is v?
-3, -2
Let y(t) be the first derivative of -33*t**4/4 + 57*t**3 - 81*t**2 + 24*t - 1157. Factor y(q).
-3*(q - 4)*(q - 1)*(11*q - 2)
Let v(r) be the second derivative of r**4/60 - 23*r**3/15 + 44*r**2/5 + 503*r. Factor v(h).
(h - 44)*(h - 2)/5
Let c be (11 - 4)/(-1)*(-204)/119. Let p be (c*20/(-160))/(51/(-32)). Let p*k + 2/17*k**2 + 14/17 = 0. Calculate k.
-7, -1
Factor -513/4*a**2 + 65535/4*a + 66049/4 + 1/4*a**3.
(a - 257)**2*(a + 1)/4
Determine z, given that -24673002 - 7*z**3 + 8380*z - 8*z**3 - 3110*z**2 + 24668802 = 0.
-210, 2/3, 2
Let x(k) = -k**5 - 5*k**4 + 5*k**2 - 5*k - 3. Let p(b) = b**5 + b + 1. Let n = 202 + -201. Let i(o) = n*x(o) + 3*p(o). Solve i(t) = 0.
-1, 0, 1/2, 1, 2
Suppose y + 2 = 4*m, 0 = 5*y + 4*m - 9 - 5. Let o be (y/(-2)*1)/(64/(-256)). Determine n, given that 18*n**3 - 4*n**2 - 10 + 9*n**4 + 10 + n**o = 0.
-2, 0, 1/5
Let p(u) = 1097*u - 31813. Let n be p(29). Factor -12/7*r**3 + n + 16/7*r**2 - 6/7*r + 0*r**4 + 2/7*r**5.
2*r*(r - 1)**3*(r + 3)/7
Let d = -1717 + 350. Let b = d - -6841/5. Factor 9/5*q**2 - b*q + 0 - 3/5*q**3.
-3*q*(q - 2)*(q - 1)/5
Let m(r) be the first derivative of -r**5/90 - 2*r**4/9 - 16*r**3/9 + 25*r**2/2 - 17. Let c(n) be the second derivative of m(n). Factor c(w).
-2*(w + 4)**2/3
Let k(q) be the first derivative of 45 - 22*q - 2/3*q**3 - 12*q**2. Factor k(t).
-2*(t + 1)*(t + 11)
Let x(u) be the second derivative of -u**8/1680 + u**6/72 - u**4/6 + 70*u**3/3 + 66*u. Let v(l) be the second derivative of x(l). Find t such that v(t) = 0.
-2, -1, 1, 2
Factor 124 - 123 - 94*t + 2*t**2 + 24 + 67.
2*(t - 46)*(t - 1)
Let a(n) be the second derivative of -62*n - 1/12*n**5 + 1/90*n**6 + 0 + 2/9*n**4 - 2/9*n**3 + 0*n**2. Factor a(g).
g*(g - 2)**2*(g - 1)/3
Find f such that -4085*f - 587362*f**4 + 2820*f**2 + 615*f**3 + 880*f**2 + 587222*f**4 + 1050 - 20*f**5 = 0.
-7, -6, 1/2, 5
Let x(f) = -8*f**2 - 4*f + 204. Let w(b) = -54*b**2 - 28*b + 1426. Let r(u) = 3*w(u) - 20*x(u). Factor r(c).
-2*(c - 9)*(c + 11)
Suppose -156*m - 127 = -328 - 19 - 248. Find x, given that -6/7*x**4 - 32/7 - 96/7*x - 40/7*x**m - 96/7*x**2 = 0.
-2, -2/3
Let d(z) = -17*z + 227. Let x be d(13). Let b be -4*x/(7 + -139). Find q, given that b*q**2 - 6/11*q + 4/11 = 0.
1, 2
Suppose -78 = 44*k - 5*k. Let l be ((-70)/(-945))/((-12)/9 - k). Factor -1/9*q**2 + l - 1/9*q + 1/9*q**3.
(q - 1)**2*(q + 1)/9
Let g = -7 + 51. Let m = g + -47. Let i(v) = 3*v**3 - 91*v**2 + 379*v - 517. Let n(w) = w**3 - 45*w**2 + 189*w - 259. Let p(c) = m*i(c) + 5*n(c). Factor p(x).
-4*(x - 4)**3
Let i(s) = -16*s**4 - 436*s**3 - 1456*s**2 - 916*s + 100. Let z(v) = v**4 - 2*v**3 - 3*v - 5. Let x(q) = -i(q) - 20*z(q). Factor x(j).
-4*j*(j - 122)*(j + 1)*(j + 2)
Let g be -1*(-320)/50 - 6. Let x(z) be the first derivative of 4*z**2 - 1 - 2*z + 2*z**4 - 4*z**3 - g*z**5. Let x(h) = 0. Calculate h.
1
Factor 0 + 1/4*z**5 + 5/2*z**4 + 21/4*z**3 - 10*z**2 - 25*z.
z*(z - 2)*(z + 2)*(z + 5)**2/4
Let o(k) be the first derivative of -18/5*k + 214 - 1/5*k**3 + 21/10*k**2. Factor o(p).
-3*(p - 6)*(p - 1)/5
Let a(r) = -r**2 + 6*r + 11. Let q be a(7). Let j be q + 4/(-3 - 1). Factor -18 + 10*p**2 + 6*p**j - 2*p**3 + 6*p - 2*p**3.
2*(p - 1)*(p + 3)**2
Let n(d) be the second derivative of -d**5/70 + 2*d**4/3 - 176*d**3/21 + 320*d**2/7 - 209*d - 2. Solve n(t) = 0 for t.
4, 20
Let b = 1/327878 - -655741/4918170. Factor -b*j**3 + 0 - 16/15*j + 6/5*j**2.
-2*j*(j - 8)*(j - 1)/15
Let d(p) be the third derivative of -p**6/360 - 103*p**5/90 + 23*p**4/8 - 1991*p**2. Factor d(r).
-r*(r - 1)*(r + 207)/3
Let s = -33558 - -167791/5. Factor 4 + s*z**2 + 21/5*z.
(z + 1)*(z + 20)/5
Let n(q) be the second derivative of 1/12*q**3 + 3/2*q**2 + 43*q + 0 - 1/24*q**4. Factor n(z).
-(z - 3)*(z + 2)/2
Suppose -5*h + 24 = -9*h. Let l(p) = p**4 - 3*p**3 - p**2 + 3*p. Let x(j) = -j**2 + 1. Let f(q) = h*x(q) + 3*l(q). Solve f(m) = 0.
-1, 1, 2
Let a(g) be the first derivative of -g**4/2 + 122*g**3/3 - 232*g**2 + 456*g + 1063. Suppose a(o) = 0. What is o?
2, 57
Let l be 2 - (-18)/6 - 1. Solve 62*s - 4*s**l + 18*s**3 + 2*s**4 - 2431*s**2 + 2377*s**2 - 24 = 0 for s.
1, 3, 4
Suppose 75*f + 95*f - 752 = -18*f. Let k(b) be the second derivative of -4*b + 0 + 5/16*b**f - 5/2*b**2 + 1/16*b**5 + 0*b**3. Factor k(h).
5*(h - 1)*(h + 2)**2/4
Let i(v) be the third derivative of 13*v**5/60 - 9*v**4/8 + 17*v**3/3 - 113*v**2. Let j(g) = -2*g**2 - 2. Let q(x) = i(x) + 5*j(x). Factor q(h).
3*(h - 8)*(h - 1)
Let z(j) = 1151*j**2 + 1145*j - 10. Let s(l) = -4602*l**2 - 4576*l + 44. Let n(b) = 2*s(b) + 9*z(b). Factor n(x).
(x + 1)*(1155*x - 2)
Let o be 84/(-30)*(16/64 - 30/56). Let t(p) be the first derivative of 0*p + o*p**5 + 2*p**2 + 8 - p**4 - 4/3*p**3. Factor t(j).
4*j*(j - 1)**2*(j + 1)
Determine u so that -234*u - 182/3*u**2 - 2/3*u**3 - 174 = 0.
-87, -3, -1
Let b be (1 + 1)*((-1513)/(-238) - 6)*7. Let 2*n**4 + 0*n**2 - 2 - 1/3*n**b - 10/3*n**3 + 11/3*n = 0. Calculate n.
-1, 1, 2, 3
Let w(x) = x**2 + 31*x + 16. Let r(s) = -2*s - 2. Let z(a) = 40*r(a) + 5*w(a). Let y(p) = -24*p**2 - 374*p. Let l(n) = -3*y(n) - 14*z(n). Factor l(u).
2*u*(u + 36)
Let x = 3687 - 3687. Let l(f) be the third derivative of 0 + 0*f - 1/240*f**6 - 9*f**2 + 0*f**3 - 1/105*f**7 + 0*f**4 + x*f**5. Factor l(u).
-u**3*(4*u + 1)/2
Find g such that -597/7*g**2 + 186/7 - 299/7*g**3 - 9/7*g**4 + 719/7*g = 0.
-31, -3, -2/9, 1
Let a = 110177 + -2093337/19. Factor 2/19*c**2 - a*c - 28/19.
2*(c - 14)*(c + 1)/19
Let t = -216 + 225. Factor 14*a**2 + 2*a**5 + 2*a + 10*a**4 + 2*a + 25*a**3 + t*a**3 - 16*a**3.
2*a*(a + 1)**3*(a + 2)
Suppose 13*n - 632 = -632. Let l(a) be the third derivative of 8*a**2 + 1/150*a**5 - 1/600*a**6 + n*a**3 + 0*a + 0 - 1/120*a**4. Factor l(x).
-x*(x - 1)**2/5
Suppose -6*v - 15 = -2*v - 15. Let t(i) be the second derivative of 0 + 4*i + v*i**2 + 1/3*i**4 + 10/3*i**3. Let t(s) = 0. Calculate s.
-5, 0
Let h be (-6 - 1248/(-204))/(-5 - (-5 + 7/(-119))). Let -h*u**4 - 61/2*u**2 - 7/2 + 18*u + 18*u**3 = 0. Calculate u.
1/2, 1, 7
Factor 13580*j**2 + 10667*j - 5084*j**2 + 3456 + 7477*j - 466*j**4 + 542*j**4 + 1384*j**3.
4*(j + 6)**3*(19*j + 4)
Let v(p) be the third derivative of -p**5/140 - 323*p**4/56 + 162*p**3/7 - 136*p**2 - 2. Suppose v(h) = 0. Calculate h.
-324, 1
Let n(s) be the second derivative of s**7/420 - s**6/100 - 2*s**5/25 - s**4/10 - 3835*s. Solve n(w) = 0 for w.
-2, -1, 0, 6
Let j(u) = 4*u**2 + 12*u + 2. Let n(f) = 12*f**2 + 34*f + 6. Let x(g) = -g**2 - g. Let l(t) = 4*n(t) + 4*x(t). Let y(p) = 32*j(p) - 3*l(p). Solve y(r) = 0.
-2, -1
Let j(l) = l**2 + 2*l + 3. Let f(y) = 33*y**2 + 336*y + 630. Let p(t) = -f(t) + 30*j(t). Factor p(i).
-3*(i + 2)*(i + 90)
Let t(f) be the third derivative of -14*f - f**5 + 32/3*f**3 + 13/3*f**4 - 9/10*f**6 + 0 + f**2. Determine o so that t(o) = 0.
-8/9, -