/8 + 372*o**3/7 - 2*o**2 - 2254. Factor f(r).
-3*(r - 3)*(r + 248)/7
Let z(n) be the first derivative of -n**4/12 - 10*n**3/9 + 3103*n**2/6 - 57188*n/3 - 7372. Solve z(u) = 0 for u.
-68, 29
Let k = 2115 - -6911. Suppose -94*x - 2258 = -k. Suppose -12*v - 1/2*v**2 - x = 0. What is v?
-12
Let n(o) be the first derivative of -3*o**6/10 + 29*o**5/15 - o**4 + 43*o**2/2 - 2*o - 37. Let f(a) be the second derivative of n(a). Solve f(k) = 0 for k.
0, 2/9, 3
Let q(h) = -102*h**2 - 594*h + 3123. Let y(l) = -7*l**2 - 42*l + 223. Let b(j) = 4*q(j) - 58*y(j). Let b(p) = 0. What is p?
13, 17
Let z(s) be the first derivative of s**5 + 75*s**4 + 3860*s**3/3 - 9600*s**2 + 20480*s + 5628. Factor z(n).
5*(n - 2)**2*(n + 32)**2
Let n be ((-1)/(-30))/((5/(-8))/((-4225)/676)). What is f in -n*f**5 + 2/3*f**4 + 1/3*f**3 + 0*f + 0 - 2/3*f**2 = 0?
-1, 0, 1, 2
Let c(m) be the first derivative of m**5/20 + 3*m**4/4 - 172*m + 150. Let p(l) be the first derivative of c(l). Determine h so that p(h) = 0.
-9, 0
Let a(u) = -u**3 + 5*u + 3. Let f be a(0). Factor -148*o**f + 18 + 73*o**3 + 72*o**3 - 3*o**2 + 15*o - 3*o**2.
-3*(o - 2)*(o + 1)*(o + 3)
Factor 5*i**4 + 317334*i**2 + 800932*i**2 + 4585*i**3 + 1048820*i - 64866*i**2.
5*i*(i + 1)*(i + 458)**2
Let x be (2/12)/((-427)/(-244)). Let t(i) be the third derivative of x*i**3 - 1/210*i**5 - 1/84*i**4 + 0*i - 16*i**2 + 0. Factor t(l).
-2*(l - 1)*(l + 2)/7
Suppose -34*n**4 + 13*n**4 - 21*n**2 + 18*n**4 + 24*n**2 = 0. Calculate n.
-1, 0, 1
Let g(k) be the third derivative of 22801*k**5/240 + 151*k**4/12 + 2*k**3/3 + 6030*k**2. Factor g(s).
(151*s + 4)**2/4
Suppose -6/7*m**4 + 0 + 0*m + 96/7*m**3 - 90/7*m**2 = 0. What is m?
0, 1, 15
Let b(y) be the first derivative of -y**4/4 - 4*y**3 + 27*y - 104. Let v(w) be the first derivative of b(w). Factor v(d).
-3*d*(d + 8)
Let z = 1048/101 - 13422/1313. Factor 0*f**2 - 2/13*f**4 + 0 - z*f**3 + 0*f.
-2*f**3*(f + 1)/13
Factor 297 + 81/2*x - 3/2*x**2.
-3*(x - 33)*(x + 6)/2
Let j(s) be the third derivative of -s**6/720 + s**5/40 - 3*s**4/16 - 34*s**3/3 + s**2 - 6. Let p(l) be the first derivative of j(l). Factor p(n).
-(n - 3)**2/2
Let t(z) = 491*z - 20127. Let q be t(41). Let -8/3*v**2 + 32/9 - 8/9*v - 2/9*v**q + 14/9*v**3 = 0. Calculate v.
-1, 2, 4
Let p(i) be the first derivative of i**4/54 - i**3/3 - 43*i + 21. Let v(w) be the first derivative of p(w). Factor v(u).
2*u*(u - 9)/9
Factor 26/5*h**3 + 0 + 0*h + 6/5*h**4 + 8/5*h**2.
2*h**2*(h + 4)*(3*h + 1)/5
Let g(x) be the third derivative of x**6/120 + x**5/30 + 2*x**2 - 35*x. Let a(y) = -5*y**4 + 38*y**3 - 89*y**2 + 50*y. Let f(b) = -a(b) - 2*g(b). Factor f(u).
5*u*(u - 5)*(u - 2)*(u - 1)
Suppose 3*g = 3*b - 249, 2*b + 63*g = 60*g + 151. Let p be (-19)/14 - (-200)/b. What is c in 36/7 - p*c**2 + 6/7*c - 2/7*c**3 = 0?
-3, 2
Factor -58/25 - 12/5*h - 2/25*h**2.
-2*(h + 1)*(h + 29)/25
Let t(s) = 120*s**2 - 8514*s. Let g(o) = -24*o**2 + 1703*o. Let b(u) = -14*g(u) - 3*t(u). Suppose b(w) = 0. Calculate w.
0, 425/6
Let r(g) be the second derivative of g**6/90 + 3*g**5/5 - 20*g**4/3 - g**3 + 3*g**2/2 + 15*g + 7. Let o(u) be the second derivative of r(u). Factor o(w).
4*(w - 2)*(w + 20)
Let k(w) = 11*w**2 - 11*w - 178. Let s(a) = -10*a**2 - 5*a + 180. Let b(c) = -5*k(c) - 6*s(c). Factor b(u).
5*(u - 2)*(u + 19)
Suppose -6*f + 95 - 65 = 0. What is c in -5*c**f - 24*c**2 - 40*c**3 + 21*c**4 + 91*c**2 - 47*c**2 + 4*c**4 = 0?
0, 1, 2
Suppose 0 = -2*h + 5*y + 22, -4*h = 6*y - 10*y - 20. Let v be h/(-4) - (5 - 99/18). Find z such that z**3 + 0*z**4 - 1/2 - v*z**5 - 3/4*z + 1/2*z**2 = 0.
-1, 1, 2
Let v(m) = 6*m + 93. Let x be v(-15). Factor 18*p**4 - 3*p**2 - 3*p**x + 56*p - 57*p - 19*p**4.
-p*(p + 1)**3
Let k(l) be the second derivative of 4*l**7/21 + 8*l**6/15 - 237*l**5/40 - 509*l**4/24 - 76*l**3/3 - 12*l**2 - 1317*l - 1. Let k(q) = 0. Calculate q.
-4, -1, -3/4, -1/4, 4
Let r(t) be the third derivative of -t**8/33600 - 17*t**7/8400 + 3*t**6/200 - t**5/60 - t**3 - 61*t**2. Let c(n) be the third derivative of r(n). Factor c(p).
-3*(p - 1)*(p + 18)/5
Let -416105 - a**2 + 416103 + 1110*a + 2*a**2 + a**2 - 1110*a**3 = 0. What is a?
-1, 1/555, 1
Let s(w) be the first derivative of -3*w**4/4 + 10*w**3 - 81*w**2/2 + 54*w + 2276. Solve s(i) = 0 for i.
1, 3, 6
Let w be 1/(27/6 + -3). Suppose 0 = 170*h - 1765 + 1425. Determine m, given that -w*m**2 + h*m - 4/3 = 0.
1, 2
Let y be 10242/(-165) - 42/(-154). Let b = y + 62. Solve -1/5*u**4 + 6/5*u**2 + b*u**3 - 4/5*u - 8/5 = 0.
-2, -1, 2
Factor 6/7*q**3 + 31488*q + 73728/7 - 2302/7*q**2.
2*(q - 192)**2*(3*q + 1)/7
Determine q so that -76 + 53 + 18*q + 221 + 6530*q**3 - 22*q**2 - 6532*q**3 = 0.
-11, -3, 3
Let g(w) = 2*w**2 - 13*w + 23. Let x be g(4). Suppose 2*p + 6*i = 8*i + 4, -3*i - 4 = -2*p. Factor 12*h**p + 4*h - 4*h**2 - 3*h**2 + 6*h - 5*h**x.
-5*h*(h - 2)*(h + 1)
Let f(z) be the first derivative of 1/10*z**6 - 11/20*z**5 - 3*z - 10 - z**2 - 1/6*z**3 + 11/12*z**4. Let o(s) be the first derivative of f(s). Factor o(u).
(u - 2)*(u - 1)**2*(3*u + 1)
Let r be ((-85)/10 - -8) + 10/4. Factor 3*k**3 + 60*k - 36 - 83*k**2 + 123*k**2 - 67*k**r.
3*(k - 6)*(k - 2)*(k - 1)
Let g(z) = 414*z**2 - 5*z + 4. Let o be g(1). Let 6*w + 6*w - 2*w + 5*w**3 + o - 433 - 25*w**2 + 30*w = 0. What is w?
1, 2
Let k = 378713/106551 + 15/11839. Suppose -2/9*u**3 + k + 8/9*u - 8/9*u**2 = 0. Calculate u.
-4, -2, 2
Let n(f) = -f**3 - 44*f**2 - 44*f - 25. Let t be n(-43). Let h be 288/30*((-12)/t)/(-2). Determine r, given that 12/5*r**3 - 2/5*r**4 - 24/5*r**2 + h*r + 0 = 0.
0, 2
Suppose 828*u - 114264 - 3/2*u**2 = 0. Calculate u.
276
Let f be (4133/41330)/(6/80). Solve 1/3*u**3 + 5/3*u - f*u**2 - 2/3 = 0 for u.
1, 2
Factor 142*d - 92 - 1/4*d**4 - 231/4*d**2 + 8*d**3.
-(d - 23)*(d - 4)**2*(d - 1)/4
Let y(d) be the first derivative of d**6/24 - 17*d**5/20 - 163*d**4/16 - 127*d**3/12 + 81*d**2/4 + 36*d + 10227. Let y(h) = 0. Calculate h.
-6, -1, 1, 24
Let n(d) be the third derivative of 13*d**5/15 - d**4/12 - 2*d**2 - 479. Factor n(f).
2*f*(26*f - 1)
Let u(m) be the third derivative of 0*m + 0*m**3 + 4/315*m**7 + 1/45*m**5 + 1/144*m**4 + 0 - 48*m**2 + 5/2016*m**8 + 1/40*m**6. Factor u(y).
y*(y + 1)**3*(5*y + 1)/6
Let t(c) = -10*c**2 + 5. Let g be t(-2). Let l = 38 + g. Solve 12/11*v**4 + 42/11*v**l - 24/11*v + 24/11*v**2 + 0 = 0 for v.
-2, 0, 1/2
Let l(r) be the first derivative of 5*r**4/18 - 32*r**3/9 + 4*r**2 - 69*r + 97. Let u(d) be the first derivative of l(d). Determine a so that u(a) = 0.
2/5, 6
Let v(o) be the first derivative of o**4/12 - 25*o**3/3 + 625*o**2/2 + 198*o + 139. Let r(l) be the first derivative of v(l). Suppose r(z) = 0. Calculate z.
25
Let b = -13844 - -207661/15. Let v(n) be the first derivative of -4/3*n - 1/3*n**3 + b*n**5 + 4/3*n**2 - 1/6*n**4 - 28. Suppose v(d) = 0. What is d?
-2, 1, 2
Suppose 0 = r + 10*r - 22. Let 65 - 803*k - 130*k**2 + 5*k**5 + 808*k + 65*k**4 - 12*k**3 + r*k**3 = 0. Calculate k.
-13, -1, 1
Let g(q) be the second derivative of -2*q**5/105 + 11*q**4/84 + q**3/7 + 24*q**2 - 102*q. Let k(p) be the first derivative of g(p). Factor k(f).
-2*(f - 3)*(4*f + 1)/7
Let l(b) be the third derivative of b**6/900 - 2*b**5/225 - 19*b**4/180 - 14*b**3/45 + 15*b**2 + 103. Factor l(c).
2*(c - 7)*(c + 1)*(c + 2)/15
Let z(d) be the first derivative of 1/11*d**3 - 58 + 1/11*d - 1/44*d**4 - 3/22*d**2. Factor z(k).
-(k - 1)**3/11
Factor 0*m - 3*m**3 + 1/2*m**4 - 20*m**2 + 0.
m**2*(m - 10)*(m + 4)/2
Suppose 192 - 6*u**3 + 9*u**3 + 447*u + 16*u**2 + u**2 + 73*u**2 + 168 = 0. What is u?
-24, -5, -1
Let a = -613740/7 + 87780. Factor -2/7*y**3 - 648/7 - a*y - 74/7*y**2.
-2*(y + 1)*(y + 18)**2/7
Let i(w) be the first derivative of -245*w - 95 - 965/4*w**4 + 56*w**5 - 215/3*w**3 + 805/2*w**2 - 10/3*w**6. Find k, given that i(k) = 0.
-1, 1/2, 7
Let d be 70/(-6) + ((-348)/29 - -24). Determine z so that -7/3*z**2 - 16/3*z - 4 - d*z**3 = 0.
-3, -2
Factor 3110*g - 331*g - 686 + 3835*g**4 + 3559*g + 94743*g**3 - 39772*g**4 + 3707*g - 50589*g**2.
-(g - 2)*(33*g - 7)**3
Suppose 99*b - 38 = 62*b + 36. Let n(s) be the first derivative of -4*s - s**4 - 6 + b*s**2 + 4/3*s**3. Suppose n(y) = 0. Calculate y.
-1, 1
Let a(p) be the first derivative of -246 - 8*p**3 - 16/5*p**5 - 86*p**2 - 40*p + 23*p**4. Solve a(q) = 0 for q.
-1, -1/4, 2, 