= 0. What is v?
-1, -1/2, 1
Let b be 19 + (-3)/(-8)*(-50662)/1041. Find n such that -3*n**2 - 3/4*n**5 + 3/2*n**3 + 3/2 + 3/2*n**4 - b*n = 0.
-1, 1, 2
Let b(g) be the third derivative of g**7/630 + g**6/72 - 17*g**5/30 + 40*g**4/9 - 112*g**3/9 + g**2 + 1519. Factor b(o).
(o - 4)**2*(o - 1)*(o + 14)/3
Let w(f) = -98*f + 4315. Let p be w(44). Determine t, given that 3/5*t**2 + 3/5*t**5 + 0*t + 0 - 3/5*t**4 - 3/5*t**p = 0.
-1, 0, 1
Let u be (-35)/(-28)*1792/3920. Let -2/7*p**3 + 2/7*p**5 + u*p**4 - 4/7*p**2 + 0 + 0*p = 0. Calculate p.
-2, -1, 0, 1
Determine k, given that 71*k**3 + 45*k**3 + 2729*k**2 + 12*k**3 - 286*k - 1609*k**2 + 18 = 0.
-9, 1/8
Let a = -2957/4 + 2959/4. Let w(z) be the third derivative of -1/70*z**7 - 3/10*z**5 - a*z**3 - 1/2*z**4 + 0*z + 20*z**2 + 0 - 1/10*z**6. Factor w(m).
-3*(m + 1)**4
Let o(r) be the second derivative of r**6/1080 - r**5/120 - 5*r**4/36 - 13*r**3/6 + 2*r + 23. Let x(a) be the second derivative of o(a). Factor x(s).
(s - 5)*(s + 2)/3
Let w(h) be the first derivative of 2*h**3/15 - 54*h**2 - 1977. Solve w(j) = 0.
0, 270
Let r(j) = 4*j**3 - 16*j**2 + 198*j - 462. Let d(i) = -5*i**3 + 13*i**2 - 200*i + 460. Let o(q) = -3*d(q) - 4*r(q). Factor o(b).
-(b - 13)*(b - 6)**2
Suppose -5*d = -2*b - 3 + 7, 2*d + b + 7 = 0. Let o be (15/6 + -4)/(d/4). Factor 7*z**o - z**5 - 9*z**2 - 18*z**2 + 33*z**2.
-z**2*(z - 3)*(z + 1)*(z + 2)
Let g(j) be the second derivative of -j**7/14 + j**6/10 + 3*j**5/10 + 1338*j. Factor g(z).
-3*z**3*(z - 2)*(z + 1)
Let d(m) = 11*m**2 - 143*m + 399. Let j be d(9). Determine f so that 15 - 5/2*f**j + 5/2*f + 5/2*f**4 - 35/2*f**2 = 0.
-2, -1, 1, 3
Let y(j) be the third derivative of j**5/12 - 365*j**4/4 - 2195*j**3/6 + 1088*j**2. Factor y(b).
5*(b - 439)*(b + 1)
Suppose 0 = a - 0*a - 10. Let b be 8/24 + (-370)/(-15). Factor -8*z + 26*z + 37*z + b*z**2 + a.
5*(z + 2)*(5*z + 1)
Let v = -529 + 523. Let x be ((-310)/50 - v)*(-45)/6. Factor -3/4*l**2 + 3/2*l**3 - x*l + 3/4*l**4 + 0.
3*l*(l - 1)*(l + 1)*(l + 2)/4
Let o be (11/(11/(-3)))/(3 + 855/(-38)). Solve 2*g**2 + 60/13*g + o*g**3 + 0 = 0 for g.
-10, -3, 0
Let u(c) = 418*c + 12558. Let f be u(-30). Factor -f - 39/2*v + 19*v**2 - 7/2*v**3.
-(v - 3)**2*(7*v + 4)/2
Let l = 1265/1676 - 2/419. Let p(r) be the first derivative of -l*r**2 + 0*r - 3/16*r**4 + 3/4*r**3 - 1. Suppose p(k) = 0. What is k?
0, 1, 2
Let v(m) be the first derivative of m**6/21 + 156*m**5/35 + 38*m**4/7 - 52*m**3/7 - 11*m**2 + 363. Solve v(b) = 0 for b.
-77, -1, 0, 1
Let f(m) be the first derivative of -33/7*m**2 - 4/7*m - 252 + 34/21*m**3. Let f(l) = 0. What is l?
-1/17, 2
Let m be (129 + -130)/((-1)/10). Let s = -4 + 6. Solve 5*j + m + 17*j - 30 - s*j**2 = 0 for j.
1, 10
Let s(d) be the second derivative of d**5/10 - 39*d**4 - 505*d - 4. Factor s(t).
2*t**2*(t - 234)
Let i(q) be the second derivative of q**4/60 - 256*q**3/15 - 513*q**2/10 - 10*q - 39. Factor i(a).
(a - 513)*(a + 1)/5
Let m(d) = d**2 - 30*d + 107. Let a be m(26). Suppose v + 2*o = 0, 9*o = -a*v + 11*o. Factor v - 4/7*x - 24/7*x**3 - 18/7*x**2 - 10/7*x**4.
-2*x*(x + 1)**2*(5*x + 2)/7
Let d(t) be the third derivative of 8/3*t**3 - 17/15*t**5 - t**2 + 0*t - 3/20*t**6 + 97 - 7/3*t**4. Solve d(r) = 0.
-2, 2/9
Let w(j) be the third derivative of 55*j**2 + 6*j**4 + 0 + 1/15*j**5 + 0*j + 216*j**3. Factor w(r).
4*(r + 18)**2
Let i(v) be the second derivative of -v**4/4 + 126*v**3 - 1327*v. Find z, given that i(z) = 0.
0, 252
Let u = 3088765/252 + -12257. Let k(s) be the third derivative of 0*s**3 + 0*s - 1/72*s**5 + 0 + 0*s**4 + u*s**7 - 27*s**2 + 0*s**6. Factor k(g).
5*g**2*(g - 1)*(g + 1)/6
Let x(k) = -187*k**2 - 751*k - 759. Let t(d) = 249*d**2 + 749*d + 760. Let i(r) = -3*t(r) - 4*x(r). Factor i(z).
(z + 1)*(z + 756)
Let i(a) be the third derivative of a**8/112 - 17*a**7/70 + 91*a**6/40 - 147*a**5/20 + 675*a**2. Solve i(y) = 0 for y.
0, 3, 7
Let p(r) = -r**3 + 122*r**2 + 138*r - 5. Let k(u) = 16*u + 16*u + 8*u - 1 + 60*u**2 + 29*u - 2. Let s(b) = -5*k(b) + 3*p(b). Find w, given that s(w) = 0.
-1, 0, 23
Let z(f) = -5*f**4 + 26*f**3 - 460*f**2 + 22*f + 11. Let m(q) = -2*q**4 + 8*q**3 - 152*q**2 + 8*q + 4. Let j(a) = -11*m(a) + 4*z(a). What is n in j(n) = 0?
-14, 0, 6
Factor -418*n - 1396*n**2 - 689*n**2 + 1251*n**2 + 4*n**3.
2*n*(n - 209)*(2*n + 1)
Factor -105*m + 63/4*m**2 - 3/4*m**3 + 216.
-3*(m - 9)*(m - 8)*(m - 4)/4
Let o(l) = 364*l**3 - l**2 - l + 1. Let g be o(1). Determine f, given that -34*f + 100*f - g - 46*f**2 + 89*f**2 - 46*f**2 = 0.
11
Let p be 12*((-71)/34 - -2 - (-343)/2058). Factor 10/17*m**3 + 0 - 2/17*m**4 + 8/17*m - p*m**2.
-2*m*(m - 2)**2*(m - 1)/17
Let g(x) be the first derivative of 215/2*x**2 - 86 - 70/3*x**3 - 15*x. What is i in g(i) = 0?
1/14, 3
Let v(w) be the second derivative of -1/10*w**5 - 5/3*w**3 + 3 + 21*w - 2*w**2 - 2/3*w**4. Factor v(a).
-2*(a + 1)**2*(a + 2)
Let y be -40*(7 - (6 - 315/(-20))). Let f = -590 + y. Factor 4/9*u**2 + 0*u + 0*u**3 - 1/3*u**4 + 1/9*u**5 + f.
u**2*(u - 2)**2*(u + 1)/9
Let m(p) be the first derivative of -34*p**5/55 + 19*p**4/22 - 4*p**3/33 - 1129. Factor m(b).
-2*b**2*(b - 1)*(17*b - 2)/11
Let p be 2/(-11) + -652*215/(-220). Let c = p - 3173/5. Determine d, given that -16/5*d**2 - 8*d**3 + 0 + 32/5*d - c*d**4 = 0.
-2, 0, 2/3
Let w(x) be the third derivative of -x**6/360 - 17*x**5/36 + 89*x**4/18 + 8*x**2 + 26*x - 10. Find n, given that w(n) = 0.
-89, 0, 4
Let w be -1*4/(-14)*(3729/(-198) + 19). Let s(u) be the first derivative of w*u**3 - 1/7*u - 11 + 0*u**2. Factor s(v).
(v - 1)*(v + 1)/7
Factor 67*t + 15*t - 2*t**2 - 138*t + 23*t + 456 - t**2.
-3*(t - 8)*(t + 19)
Let l be 21/(-12)*(-216)/9. Factor -9 - l*a**3 - 585*a**2 + 394*a + 147*a**4 + 313*a - 539*a - 3.
3*(a - 2)*(a + 2)*(7*a - 1)**2
Suppose -5*a + a + 2*k = 12, -3*a - 23 = -5*k. Let b be a + 3 + 0 - (-60)/(-42). Factor -8/7*j**3 + 0*j**2 + b - 4/7*j**4 + 8/7*j.
-4*(j - 1)*(j + 1)**3/7
Let y(v) = 2*v**2 + 7*v - 28. Let a be y(-6). Let -42*l - 32*l**3 - 85*l**a - 3*l + 5*l**4 - 3*l**3 = 0. Calculate l.
-1, 0, 9
Let x(z) be the third derivative of -4*z**3 - 11/40*z**5 + 0*z + 13/8*z**4 + 0 + 110*z**2 + 1/80*z**6. Let x(u) = 0. What is u?
1, 2, 8
Let z(d) be the second derivative of -d**7/210 + 3*d**6/50 - 23*d**5/100 + d**4/4 + 551*d. Let z(b) = 0. Calculate b.
0, 1, 3, 5
Suppose 3 - 191 = 4*n. Let i = n + 49. Factor 18*c**3 + 2*c - 5*c**3 - c**3 - 11*c**3 + 3*c**i.
c*(c + 1)*(c + 2)
Suppose -4*j + 2*o + 324 = -158, -3*j = 3*o - 375. Suppose -429*a - 40*a - j*a**3 - 343*a**3 - 191*a + 160 + 920*a**2 + 45*a**4 = 0. Calculate a.
2/3, 1, 8
Let i(k) = k**2 - 14*k + 33. Let b be i(3). Suppose -f - 2*v - 5 = b, 2*f + 3*v = v. Determine z so that 0*z - 1/5*z**3 + 0 + 1/5*z**f + 0*z**4 + 0*z**2 = 0.
-1, 0, 1
Let f(l) be the second derivative of l**4/108 - 67*l**3/9 + 4489*l**2/2 - 519*l - 1. Let f(x) = 0. What is x?
201
Suppose 0 = -20*j + 22*j. Determine r so that j*r**2 + 60*r + 44*r + r**2 - 94*r + 9 = 0.
-9, -1
Solve -88 - 290 - 266*l**2 + 263*l**2 + 81*l = 0 for l.
6, 21
Let b(m) be the third derivative of -m**6/8 - 7*m**5/20 + 369*m**4/40 - 81*m**3/2 - 715*m**2. Factor b(s).
-3*(s + 5)*(5*s - 9)**2/5
Let b be 119/8 + 3/24. Factor 6 + 12*t - 16*t**2 + b*t**2 - 11*t.
-(t - 3)*(t + 2)
Let r = -40 - -67. Factor -1008*x + r*x**2 - 1296 - 223*x**2 + 0*x**2.
-4*(7*x + 18)**2
Let n(z) = z**2 - z - 5. Let k(s) = 20*s**3 + 6482*s**2 - 2602*s - 50. Let t(p) = k(p) - 10*n(p). Find b such that t(b) = 0.
-324, 0, 2/5
Let z be 3*1 + 28 + -28. Find a such that -43 - z*a**2 - 58*a - 16 + 17*a + 33 = 0.
-13, -2/3
Let m be ((-112)/216)/((-178)/801). Factor -m*j**3 + 11/9*j**2 + 17/9*j**4 - 5/9*j**5 + 0 - 2/9*j.
-j*(j - 1)**3*(5*j - 2)/9
Let f(x) be the third derivative of x**6/60 - 17*x**5/30 + 9*x**4/4 + 15*x**3 + 2399*x**2. Factor f(s).
2*(s - 15)*(s - 3)*(s + 1)
Suppose -41 = -4*o - 3*c, -3 = 12*c - 13*c. Suppose 4 = -o*j + 4. Find i such that -3/2*i**2 + 0*i - 3/2*i**3 + j = 0.
-1, 0
Let j be ((-18)/(-124))/((225/(-24))/(-25)). Let t = 64/155 + j. Factor 0 - t*q**3 - 8/5*q - 12/5*q**2.
-4*q*(q + 1)*(q + 2)/5
Let d(a) be the third derivative of -a**6/180 + 97*a**5/90 + 197*a**4/36 + 11*a**3 + 39*a**2 - 5. Factor d(m).
-2*(m - 99)*(m + 1)**2/3
Suppose 0 = -4*n - 5*m + 20 + 20, -8*m = -2*n - 64. Factor -3/7*d**2 + 1