4*w**2 + 2278*w + 2125. Let b(j) = 6*q(j) - 19*x(j). Suppose b(i) = 0. Calculate i.
-9, -1, 26
Suppose -4*n = -4*v + n, -2*v - 3*n = 0. Suppose v = -4*r + z + 1515, -3*r - 2*z + 542 = -586. Factor -y**4 - r*y**2 + 378*y**2 + 2*y**3.
-y**3*(y - 2)
Let k be (-150)/(-27)*(-1935)/(-430) - 23. Factor 111*s**k + 169/2 - 14*s**3 + 1/2*s**4 - 182*s.
(s - 13)**2*(s - 1)**2/2
Suppose 5*c + 5516 - 5463 = f, 5*c = -50. Let -4/5*a**f - 4*a**4 - 7/5*a + 11/5*a**5 + 22/5*a**2 - 2/5 = 0. What is a?
-1, -2/11, 1
Let u(h) be the first derivative of -2/9*h**3 - 8*h + 10/3*h**2 + 19 - 1/12*h**4. Factor u(z).
-(z - 2)**2*(z + 6)/3
Let m(b) be the first derivative of -b**6/900 + b**5/75 - b**4/20 - 145*b**3/3 - 29. Let n(c) be the third derivative of m(c). Suppose n(a) = 0. What is a?
1, 3
Let n(h) be the third derivative of 2*h**7/315 - 49*h**6/180 + 11*h**5/10 + 119*h**4/18 + 88*h**3/9 - 2255*h**2. Let n(k) = 0. Calculate k.
-1, -1/2, 4, 22
Let k(s) be the first derivative of 43 - 10*s**2 - 506*s + 506*s + 4*s**3 - s**4 + 4*s**3. Factor k(n).
-4*n*(n - 5)*(n - 1)
Suppose 3*n - 15 = -5*v, -4*n - 3*v + 20 = 2*v. Factor 8*r + 20*r**2 - n*r**5 + 2*r**5 - r**5 - 4*r**4 + 12*r**3.
-4*r*(r - 2)*(r + 1)**3
Let h(j) = -5*j**2 + 361*j - 364. Let p(x) = 17*x**2 - 1082*x + 1093. Let o(g) = -14*h(g) - 4*p(g). Suppose o(r) = 0. Calculate r.
1, 362
Let t(p) be the first derivative of -p**5 + 45*p**4 - 470*p**3 - 2090*p**2 + 5415*p - 3770. Factor t(u).
-5*(u - 19)**2*(u - 1)*(u + 3)
Suppose 4*t + v = 9, t + 3 = -3*v - 3. Let f = 1258400 - 11325596/9. Factor 2/9*n**t + f - 2/3*n + 0*n**2.
2*(n - 1)**2*(n + 2)/9
Suppose -t = 4*u + 8, 10*t = 12*t + 7*u + 14. Solve 0*j + 3/7*j**3 - 6/7*j**2 + 3/7*j**4 + t = 0.
-2, 0, 1
Let h be ((-12)/(-6))/((-4)/8). Let o(b) = 2*b**2 + 89*b + 49. Let w(l) = 3*l**2 + 177*l + 99. Let u(n) = h*w(n) + 9*o(n). Let u(p) = 0. Calculate p.
-15, -1/2
Let l(h) be the first derivative of -h**6/90 - 31*h**5/30 + h**3 - 2*h**2 - 86. Let a(x) be the third derivative of l(x). Factor a(m).
-4*m*(m + 31)
Let z(d) be the second derivative of -d**4/9 - 176*d**3/9 + 178*d**2/3 - 225*d + 1. Factor z(v).
-4*(v - 1)*(v + 89)/3
Suppose -227 = -4*j + 3*z, 5*z - 1 + 6 = 0. Let a(u) = 55*u**2 - 4*u - j*u**2 + 5*u. Let y(c) = -4*c**2 + 4*c - 6. Let v(i) = -10*a(i) + 2*y(i). Factor v(t).
2*(t - 3)*(t + 2)
Let y be (-303)/(-90) + (-10)/60. Determine m, given that -16 - 144/5*m + 88/5*m**3 + 12/5*m**4 - y*m**5 - 4/5*m**2 = 0.
-5/4, -1, 2
Let z = 231 + -221. Factor z*h**4 + 9 + 39 + 530*h**5 - h**4 + 12*h**3 - 48*h**2 - 533*h**5.
-3*(h - 2)**3*(h + 1)*(h + 2)
Let w(m) be the first derivative of -m**6/2 - 8*m**5/5 - m**4/4 + 8*m**3/3 + 2*m**2 - 1554. Let w(x) = 0. Calculate x.
-2, -1, -2/3, 0, 1
Let c(f) = 6*f**4 - 45*f**3 + 33*f**2 + 40*f - 19. Let o(q) = q**4 - q**3 - q**2 + 4. Let y(i) = -c(i) + 5*o(i). What is u in y(u) = 0?
-1, 1, 39
Let k = 279 - 281. Let v(o) = 4*o**3 - 49*o**2 - 75*o. Let p(x) = -x**3 + 10*x**2 + 15*x. Let u(f) = k*v(f) - 11*p(f). Factor u(n).
3*n*(n - 5)*(n + 1)
Let l = 1159/10 - 1151/10. Find q such that -l*q**2 + 12/5*q - 8/5 = 0.
1, 2
Let r(y) be the third derivative of 17/6*y**3 + 0*y - 1/120*y**5 - 9*y**2 - 13 + 11/16*y**4. Factor r(n).
-(n - 34)*(n + 1)/2
Let k = 835775/2 + -417887. Determine n so that 0 + k*n**2 - 2*n = 0.
0, 4
Let d be 6*(3 + 21/(-9)) - -1. Let m be 160/525*3 + (-1)/d. Factor 0 + m*r**3 + 6/7*r**2 + 1/7*r.
r*(r + 1)*(5*r + 1)/7
Let r be (-147)/(-5) + -29 - (-36)/10. Let f(u) be the first derivative of 0*u**2 - 1/2*u**4 + 11 - r*u**3 + 0*u. Solve f(c) = 0.
-6, 0
Find y, given that -2440/7 - 32*y + 2/7*y**2 = 0.
-10, 122
Let b(n) = -12*n**2 + 662*n + 679. Let d(l) = 5*l**2 - 332*l - 339. Let v(i) = 6*b(i) + 15*d(i). Suppose v(r) = 0. Calculate r.
-1, 337
Let r(y) be the first derivative of -y**6/9 + 56*y**5/45 + 173*y**4/18 + 68*y**3/3 + 220*y**2/9 + 112*y/9 - 78. Solve r(c) = 0 for c.
-2, -1, -2/3, 14
Let y = 107 + -105. Suppose 35 = -y*c + 41. Find b such that -14/13*b**2 + 10/13*b**c + 8/13 - 16/13*b = 0.
-1, 2/5, 2
Suppose -w + 24 = 5*g, w + 40 = 6*w + 5*g. Let d(k) = 8*k**2 - 19*k + 16. Let a(u) = -7*u**2 + 20*u - 17. Let s(n) = w*d(n) + 5*a(n). Factor s(l).
-3*(l - 7)*(l - 1)
Let l be (-47)/(4/(-24)*3). Suppose 0 = -10*s + 12*s - l. Determine t so that 99*t + t**4 + 11*t**2 - 56*t - s*t + t**5 - 9*t**3 = 0.
-4, 0, 1
Suppose 5*g = -5*o + 10, -4*o + 2*g - 4 = 18. Let t(m) = m**3 + m**2 - 9*m - 6. Let u be t(o). Solve 0*y**2 + 1/5*y + 0 - 1/5*y**u = 0.
-1, 0, 1
Let g = 418/1005 + -10/67. Let o(z) be the second derivative of -8/15*z**3 - 8*z + 0*z**2 + g*z**4 + 0 + 1/5*z**5 - 2/25*z**6. Find l, given that o(l) = 0.
-1, 0, 2/3, 2
Let c(f) be the third derivative of -f**5/240 + 2*f**4/3 + 11*f**3/2 - 3*f**2 - 2*f - 115. Determine r so that c(r) = 0.
-2, 66
Let o be (48/(-232))/6 + (-59718)/(-51504). Suppose -3/8*n - o*n**3 + 0 - 3/8*n**4 - 9/8*n**2 = 0. Calculate n.
-1, 0
Let i(o) be the first derivative of 1/4*o**4 + 0*o**2 - 95 - 1/6*o**6 + 4/3*o**3 - 4/5*o**5 + 0*o. Factor i(w).
-w**2*(w - 1)*(w + 1)*(w + 4)
Let n(k) be the second derivative of -k**6/150 + 51*k**5/100 - 3779*k. Factor n(q).
-q**3*(q - 51)/5
Let j(g) be the first derivative of 15*g**4/4 + 617*g**3/3 - 274*g**2 - 84*g + 234. Solve j(q) = 0 for q.
-42, -2/15, 1
Let g(k) be the third derivative of k**7/525 - k**6/300 - k**5/25 + k**4/15 + 8*k**3/15 + 4*k**2 - 78. Solve g(m) = 0.
-2, -1, 2
Let j(q) be the third derivative of q**5/20 - 167*q**4/4 + 27889*q**3/2 + 48*q**2 + q - 4. Factor j(u).
3*(u - 167)**2
Let z be -25*((-69)/15 + 12/(-30)). Let n(b) be the first derivative of -25*b**2 - z*b - 5/3*b**3 + 15. Solve n(h) = 0 for h.
-5
Let z(a) be the first derivative of a**5/140 + 8*a**4/21 - 67*a**3/42 + 17*a**2/7 + 15*a - 230. Let o(b) be the first derivative of z(b). What is d in o(d) = 0?
-34, 1
Let x(h) be the second derivative of h**5/80 - 89*h**4/12 - 715*h**3/24 - 179*h**2/4 - 1496*h. Determine m, given that x(m) = 0.
-1, 358
Let a(x) = -x**3 + 32*x**2 - 21*x + 58. Let g be a(27). Let g - 1344*l - 48*l**3 - 43*l**3 - 108*l**2 + 89*l**3 = 0. What is l?
-28, 2
Let c(f) be the second derivative of -5*f**4/12 + 25*f**3/3 + 60*f**2 + 9*f - 125. Find u, given that c(u) = 0.
-2, 12
Let y(v) be the second derivative of 1/3*v**3 + 19*v - 6*v**2 + 0 + 1/30*v**6 - 11/60*v**5 + 5/24*v**4. Let f(g) be the first derivative of y(g). Factor f(q).
(q - 2)*(q - 1)*(4*q + 1)
Let q be 1/(-3 - 48/(-15)). Let j be 3/(-5) + (48/q)/1. Factor 36*n**2 - 15*n**4 - 2*n - j*n**3 + 6*n - 16*n.
-3*n*(n - 1)*(n + 2)*(5*n - 2)
Factor -2/9*c**3 + 2/9*c - 110/9*c**2 + 110/9.
-2*(c - 1)*(c + 1)*(c + 55)/9
Let z(o) be the first derivative of 3*o**4/4 - 17*o**3 - 263. Factor z(p).
3*p**2*(p - 17)
Find j such that 0 - 6/5*j**4 + 9/5*j**3 + 9/5*j**2 - 6/5*j = 0.
-1, 0, 1/2, 2
Let g be 7/(-3) - (-38 - (-2323)/69). Find z, given that 128/7 + 32/7*z + 2/7*z**g = 0.
-8
Let o(n) = 2*n**2 + 26*n + 31. Let h be o(-5). Let l be (2 - (-104)/h)*(-112)/24. Suppose -l*v**2 - 4 + 32/7*v = 0. Calculate v.
1, 7
Let k = 374 + -372. Let p be k - 8 - (7 + -9)*3. Factor -4/5*n**3 - 2/5 + p*n**2 + 2/5*n**4 + 4/5*n.
2*(n - 1)**3*(n + 1)/5
Factor 90 - 25/4*v**2 + 585/4*v.
-5*(v - 24)*(5*v + 3)/4
Suppose 31*v - 5*v = -35*v + 427. Let p(t) be the first derivative of -256*t + 32*t**2 - 4/3*t**3 + v. Factor p(i).
-4*(i - 8)**2
Let w(o) be the second derivative of -o**7/14 + 124*o**6/5 + 75*o**5 + o**4/2 - 499*o**3/2 - 375*o**2 + o - 2229. Suppose w(b) = 0. Calculate b.
-1, 1, 250
Let w(x) be the second derivative of -x**7/280 + 3*x**5/40 + x**4/4 - 3*x**3/2 - x**2/2 + 12*x. Let a(c) be the second derivative of w(c). Solve a(n) = 0.
-1, 2
Suppose 4*f + 3*y = 12 + 8, -2*y = -4*f. Factor -108 - 3*m**3 + 525*m**f - 1014*m**2 + 522*m**2 - 72*m.
-3*(m - 6)**2*(m + 1)
Factor -1/5*g**3 + 151/5*g**2 - 5624/5*g - 5776/5.
-(g - 76)**2*(g + 1)/5
Let w be 30/(-350)*114/9. Let g = w - -412/315. Factor -g*j**4 + 0*j**3 + 0*j + 0 - 2/9*j**5 + 0*j**2.
-2*j**4*(j + 1)/9
Let v(c) = -4341*c + 17364. Let b be v(4). Factor b - 1/2*r**4 + 11/2*r**3 + 0*r - 9*r**2.
-r**2*(r - 9)*(r - 2)/2
Factor -1/2*x**2 + 115*x + 232.
-(x - 232)*(x + 2)/2
Let r(f) be the first derivative of -68 + 0*f**5 + 0*f + 0*f**4 + 0*f**2 + 0*f**3 + 1/6*f**6. Factor r(z).