(w) be the first derivative of 2*w**5/35 + 5*w**4/7 - 74*w**3/21 + 26*w**2/7 + 4099. Factor v(d).
2*d*(d - 2)*(d - 1)*(d + 13)/7
Let s be -4 - -3 - 0 - (-14)/2. Determine w, given that s - 24*w**5 - 27*w - 87*w**3 + 132*w**5 - 7*w + 165*w**2 - 23*w - 207*w**4 = 0.
-1, 1/4, 1/3, 2
Let c(o) = o**2 - 30*o - 614. Let r be c(-14). Suppose 4 = -x + 2*x. Let -27*l + 0*l**r - x*l**2 + 39*l = 0. What is l?
0, 3
Let j(x) be the second derivative of 226*x - 712*x**3 + 0 + 2851/3*x**4 - 243/14*x**7 + 288*x**2 + 891/5*x**6 - 2565/4*x**5. Solve j(t) = 0.
4/9, 3
Solve 20/13*l**3 - 6*l**2 + 0 - 8/13*l = 0 for l.
-1/10, 0, 4
Let n = 822 - 820. Let s(x) be the third derivative of 1/120*x**5 - 7/720*x**6 + 1/420*x**7 + 1/48*x**4 + 4*x**n - 1/18*x**3 + 0*x + 0. Factor s(u).
(u - 1)**3*(3*u + 2)/6
Factor -2*a + 23*a - 46*a + a**2 - 350.
(a - 35)*(a + 10)
Let t(f) be the third derivative of -f**8/1512 + 23*f**7/945 - 23*f**6/90 - 3*f**5/5 + 81*f**4/4 + 81*f**3 - 736*f**2. Solve t(h) = 0.
-3, -1, 9
Let g(b) be the second derivative of -41*b**5/4 + 885*b**4/4 - 730*b**3 - 110*b**2 - 1097*b. Factor g(j).
-5*(j - 11)*(j - 2)*(41*j + 2)
Factor 622/3*v**2 + 1/3*v**4 + 243 - 52/3*v**3 + 468*v.
(v - 27)**2*(v + 1)**2/3
Let y(w) be the third derivative of 0 + 1/42*w**7 - 175/6*w**4 + 0*w + 5/12*w**6 - 1/4*w**5 + 490/3*w**3 - 287*w**2. Suppose y(b) = 0. What is b?
-7, 2
Suppose -40*w = -51*w + 462. Let s be -12*((-40)/42 + 28/w). Factor 50/7*d**3 + 110/7*d**2 + s - 16*d.
2*(d + 3)*(5*d - 2)**2/7
Let q(u) be the first derivative of -20 + 1/12*u**5 - 3*u**2 + 0*u**3 + 0*u**4 + 0*u. Let n(w) be the second derivative of q(w). Suppose n(f) = 0. Calculate f.
0
Let l(o) be the third derivative of -o**5/390 - 616*o**4/39 - 1517824*o**3/39 - 8*o**2 - 4*o - 20. Factor l(m).
-2*(m + 1232)**2/13
Let 2*c**5 - 8*c + 17*c + 29549*c**2 + 15*c**4 + 14 + c**3 - 29590*c**2 = 0. Calculate c.
-7, -2, -1/2, 1
Let t = 19 - 9. Let v be 11248/2590 - (-8)/t. Factor -v + 4/7*l**3 + 12/7*l + 20/7*l**2.
4*(l - 1)*(l + 3)**2/7
Let g be (-9 - -11)*(42/56)/(2/4). Let y(p) be the third derivative of -1/276*p**4 - 1/690*p**5 + 5*p**2 + 2/69*p**g + 0*p + 0. Factor y(h).
-2*(h - 1)*(h + 2)/23
Suppose 5*b + 37 + 31 = -2*q, 3*b = 5*q - 47. Let g = b - -16. Find i such that -6 - 2*i + 15 + i**g - 8 + 0*i = 0.
1
Let b = 242 - 240. Let k(w) = -2*w**5 - 10*w**4 - w**3 + 34*w**2 + 44*w + 17. Let n(s) = s**3 + 1. Let i(t) = b*n(t) - 2*k(t). Find q such that i(q) = 0.
-4, -1, 2
Let x be ((-2)/(-4))/(-4 - (-8910)/2226). Let q = x + -173. Factor -4 - 1/2*f**5 - 14*f - 19*f**2 - 4*f**4 - q*f**3.
-(f + 1)**2*(f + 2)**3/2
Let m be -1 - (-4 - (7 + -10)). Suppose -5*i + 5*l - 16 + 26 = m, -5 = -3*i + 4*l. Factor 0*b + 1/2*b**4 - b**2 + 1/2*b**i + 0.
b**2*(b - 1)*(b + 2)/2
Let v(m) = m**3 + 17*m**2 + 41*m - 26. Let f be v(-14). Let r be (f/12)/(9/(-6)). Find b such that 1/3*b**3 - r*b**2 - 1/3*b + 1/2 + 1/6*b**4 = 0.
-3, -1, 1
Solve -8681*v + 53*v**2 - 256*v + 68*v**2 + 1626 - 154*v**2 = 0 for v.
-271, 2/11
Let i(t) = -t**3 - 3*t**2 + 649*t - 22. Let g be i(24). Factor 2*d**3 - 2/3*d + 4/3*d**4 + 0 + 0*d**g.
2*d*(d + 1)**2*(2*d - 1)/3
Suppose 336 = -39*y + 15*y. Let u be 391/119 + 4/y. Suppose 0*i**u + 0 - 2/7*i - 4/7*i**2 + 4/7*i**4 + 2/7*i**5 = 0. Calculate i.
-1, 0, 1
Factor -903/2*f - 3/4*f**2 - 271803/4.
-3*(f + 301)**2/4
Let x(u) be the first derivative of -4*u**3/3 - 196*u**2 - 388*u + 773. Factor x(j).
-4*(j + 1)*(j + 97)
Let q(p) be the first derivative of 2*p**3 - 4. Let a be (4/(-12))/((-2)/30). Let w(r) = 11*r**2 - r. Let k(x) = a*q(x) - 3*w(x). Solve k(n) = 0.
0, 1
Suppose -20 = -q - f + 101, -q + 151 = -5*f. Factor 720*j**2 - 2160*j - 38*j**4 - 32*j**4 + 74*j**3 + q*j**3 - 4320 + 5*j**5.
5*(j - 6)**3*(j + 2)**2
Let x be (-1 - -6) + 5077/(-1015). Let p = 3029/8120 - x. Factor -p*d + 9/8*d**2 + 0 + 0*d**3 - 3/2*d**4.
-3*d*(d + 1)*(2*d - 1)**2/8
Factor -7/4*q**4 + 1/4 - 9/2*q**2 - 5*q**3 - q.
-(q + 1)**3*(7*q - 1)/4
Let m be (1 - 0)*(50 - 5). Let a be (-2)/((m/10)/(-9)). Determine l, given that -12*l**2 + 16*l**2 - 4*l**4 - 4*l**3 + 4*l**a + 4*l - 4*l**4 = 0.
-1, 0, 1
Suppose -9*a + 6*a = s + 39, -5*s = -4*a + 138. Let c = s - -33. Find b, given that -3/5*b**2 + c*b - 12/5 = 0.
1, 4
Factor 2813858 - 2829068 + 1150*g + 71*g - 168*g**2 + 3*g**3 + 1626*g.
3*(g - 30)*(g - 13)**2
Let f = -785 + 8639/11. Let l(h) be the second derivative of 5*h + 4/11*h**2 + 0 + f*h**3 + 3/22*h**4. Find q, given that l(q) = 0.
-2/3
Let u(v) be the second derivative of 10/3*v**3 - 4/3*v**4 + 1/5*v**5 + 0 + 51*v - 4*v**2. What is i in u(i) = 0?
1, 2
Let o(v) = -v**2 + 18*v + 90. Let m(h) = 21*h + 101. Let r be m(-5). Let n be o(r). Find a, given that 2/9 + 4/3*a**3 + 1/3*a - 17/9*a**n = 0.
-1/4, 2/3, 1
Let a(w) be the first derivative of w**4/42 + 4*w**3/21 - 32*w**2/7 + 64*w/3 - 859. Find l, given that a(l) = 0.
-14, 4
Let f = -703 + 796. Let o be f/217 - 6/(-7). Factor -6/7*c + 3/7*c**2 - o.
3*(c - 3)*(c + 1)/7
Let n be (10/(-4))/((-30)/1140). Suppose -65*k = -46*k - n. Determine z, given that 0 + 0*z**3 - 6/7*z**k + 0*z - 6/7*z**4 + 0*z**2 = 0.
-1, 0
Let b(f) be the third derivative of -1/6*f**5 + 0*f**3 + 0 - 3/8*f**6 + 15/112*f**8 + 1/21*f**7 + 58*f**2 + 0*f**4 + f. Suppose b(s) = 0. What is s?
-1, -2/9, 0, 1
Let p(x) be the first derivative of -5*x**3/3 + 740*x**2/3 + 165*x - 1160. Factor p(n).
-5*(n - 99)*(3*n + 1)/3
Find w, given that 23120 - 110*w**4 + 9*w**5 + 31640*w**2 + 475*w**4 + 10706*w**3 - w**5 - 3*w**5 + 47600*w - 3186*w**3 = 0.
-34, -2, -1
Suppose 8*s - 9*s = -2*g + 5, -g - 3*s - 1 = 0. Suppose 132252*c - 132252*c - 5*c**g = 0. Calculate c.
0
Factor 2*t**3 + 20/3 - 98/9*t + 2/9*t**4 + 2*t**2.
2*(t - 1)**2*(t + 5)*(t + 6)/9
Let j(k) be the second derivative of k**6/60 - k**5/5 - 11*k**4/6 - 4*k**3 - k - 41. Solve j(g) = 0.
-2, 0, 12
Let v(p) = -p + 6. Let m be v(2). Suppose l = 2*a - 42, a + l + m = 28. Find z such that -a*z - 2*z**4 + 4*z**4 + 3*z**2 + 2*z**3 + 20*z - 5*z**2 = 0.
-1, 0, 1
Suppose 2*y - 3*d - 45 = 4, -13*y - 5*d - 49 = 0. Suppose -3/7*u**y + 45/7 - 6/7*u = 0. Calculate u.
-5, 3
Let c = 2410 + -21688/9. Let u(s) be the first derivative of -1/18*s**4 - 2/9*s**3 + 11 + 0*s - c*s**2. Factor u(q).
-2*q*(q + 1)*(q + 2)/9
Let h(y) be the first derivative of 2*y**3/7 + 129*y**2/7 - 540*y/7 - 518. Suppose h(v) = 0. Calculate v.
-45, 2
Let k(t) be the second derivative of t**4/72 + 17*t**3/12 + 77*t**2/3 + 4*t - 757. Factor k(i).
(i + 7)*(i + 44)/6
Let f(w) be the first derivative of -w**4/4 - w**3 + 9*w**2/2 + 20*w - 42. Let p(c) be the first derivative of f(c). Factor p(o).
-3*(o - 1)*(o + 3)
Let s(h) be the second derivative of h**5/20 - 145*h**4/6 - 589*h**3/2 - 1332*h**2 + 2473*h + 1. Let s(q) = 0. What is q?
-3, 296
Let p = 26417/3444 + -314/41. Let a(l) be the third derivative of 1/1470*l**7 + 1/84*l**4 + 0*l + p*l**5 + 0 - 2*l**2 + 0*l**3 + 1/210*l**6. Solve a(j) = 0.
-2, -1, 0
Let i(q) = q**4 + 38*q**3 - 77*q**2 - 38*q + 90. Let z(t) = 3*t**4 + 153*t**3 - 303*t**2 - 153*t + 363. Let a(c) = 9*i(c) - 2*z(c). What is x in a(x) = 0?
-14, -1, 1, 2
Let p(s) = -92*s**4 - 676*s**3 + 820*s**2 + 3648*s + 2148. Let t(v) = 38*v**4 + 270*v**3 - 328*v**2 - 1459*v - 859. Let i(o) = 5*p(o) + 12*t(o). Factor i(y).
-4*(y - 3)*(y + 1)**2*(y + 36)
Let v(k) be the first derivative of 0*k + 2/45*k**3 + 13/15*k**2 + 75. Factor v(g).
2*g*(g + 13)/15
Let p(k) be the first derivative of -1/9*k**4 - 224/9*k**2 + 226 - 76/27*k**3 - 256/3*k. Suppose p(f) = 0. Calculate f.
-8, -3
Let c(u) = -30*u - 452. Let w(h) = -33*h - 452. Let x(j) = -6*c(j) + 5*w(j). Let v be x(-30). Factor v - 7/2*n + 3/2*n**2.
(n - 1)*(3*n - 4)/2
Suppose -2*x - 36 = k, 0*x + 2*k + 55 = -3*x. Let v = x - -19. Solve -77*l**2 + 9*l + 12 + l + 79*l**v = 0 for l.
-3, -2
Suppose -3*x - 13 = -19. Let j be x/(-56)*4 - (-190)/154. Factor -j - 2/11*z**2 + 10/11*z.
-2*(z - 3)*(z - 2)/11
Let a(s) be the third derivative of -s**5/210 + s**4/7 - 5*s**3/3 + 86*s**2. Determine z so that a(z) = 0.
5, 7
Let x(a) be the second derivative of -a**7/3360 + a**5/480 - 19*a**3/3 + 36*a. Let c(r) be the second derivative of x(r). Factor c(w).
-w*(w - 1)*(w + 1)/4
Let y = -332 - -346. Factor 54*s + 20*s**2 - 22*s**2 + y*s + 180*s - 7688.
-2*(s - 62)**2
Factor 28/5*q**3 - 12*q**2 - 4/