Let z = 2822441/7 + -403173. Find a such that 10*a**2 - 122/7*a**4 + z*a**3 + 8/7*a**5 + 52/7 - 34*a = 0.
-1, 1/4, 1, 2, 13
Let q be -3 - (1/4 + (-42)/8). Determine h, given that 112*h - 114*h + h**q + 0*h**2 = 0.
0, 2
Let 2/11*r**3 + 26*r - 142/11 - 146/11*r**2 = 0. What is r?
1, 71
Let -9/4*w**5 - 257/4*w**2 + 57/4*w**3 + 54*w - 9 + 29/4*w**4 = 0. What is w?
-3, 2/9, 1, 2, 3
Let c be (11/(132/40383))/((-20)/(-8)). Let a = c - 1346. Let -9/10 - 3/5*t - a*t**2 = 0. What is t?
-3
Let f(p) be the first derivative of -p**3/21 - 23*p**2/7 + 96*p/7 + 1968. Let f(k) = 0. What is k?
-48, 2
Let q(m) be the first derivative of -162*m**4 + 168*m**3 - 49*m**2 + 874. Suppose q(z) = 0. Calculate z.
0, 7/18
Let o(q) = 4*q**4 - 14*q**3 - 128*q**2 + 1028*q - 4. Let g(p) = 13*p**4 - 41*p**3 - 384*p**2 + 3086*p - 14. Let w(b) = 4*g(b) - 14*o(b). Factor w(t).
-4*t*(t - 8)**2*(t + 8)
Let o(i) be the third derivative of -2*i**7/105 - 11*i**6/6 + 217*i**5/5 + 55*i**4/6 - 1300*i**3/3 + 824*i**2. Determine u, given that o(u) = 0.
-65, -1, 1, 10
Let l(y) = -4*y**2 + 38*y + 12. Let h be l(9). Determine v, given that 18*v + h + 5*v + 2*v**2 + 9*v = 0.
-15, -1
Suppose 290/3 + 147*k + 3*k**2 = 0. Calculate k.
-145/3, -2/3
Let d = 47212/105 - 9203/21. Factor -63/5*n**2 + d*n + 27/5*n**3 - 3/5*n**4 - 18/5.
-3*(n - 6)*(n - 1)**3/5
Suppose -3*r + 2*l + 62 = 0, 2*l - 52 = -4*r + 26. Let -36*x + r*x**2 + 31*x**2 - 59*x**2 + 4*x**3 + 4*x = 0. What is x?
-2, 0, 4
Let h(x) be the third derivative of -1/30*x**6 - 7/15*x**5 + 13/6*x**4 + 0*x - 4*x**3 - 3 - 4*x**2 + 2/105*x**7. Suppose h(w) = 0. What is w?
-3, 1, 2
Let d be -7*(-64)/1176*(-3 - 1)/((-19)/57). Factor -12/7*h + d - 2/7*h**2.
-2*(h - 2)*(h + 8)/7
Let z be ((28/4)/7)/(2/292). Let h be -19 + 14 - z/(-10). Find j, given that 12/5*j + h*j**3 + 8*j**2 + 4/5*j**5 + 24/5*j**4 + 0 = 0.
-3, -1, 0
Suppose 85*v + 49*v - 2500 = 9*v. Let r(p) be the first derivative of 3*p + 15/4*p**2 - v + 3/2*p**3. Factor r(l).
3*(l + 1)*(3*l + 2)/2
Suppose -12 = 3*k, -4*k + 7*k - 423 = -3*q. Let m be q/25 + -7 + (-8)/(-4). What is a in 2/5*a**2 - 2/5*a - m = 0?
-1, 2
Let 3*u**4 - 3918 + 7974 - 1969*u + 2502*u**2 + 165*u**3 + 8365*u = 0. Calculate u.
-26, -2, -1
Let z(a) = -6*a - 24. Let l(t) = -t**2. Let f(j) = 0 - j + 7 - 4 + 0*j. Let x be f(0). Let n(p) = x*l(p) - z(p). Factor n(s).
-3*(s - 4)*(s + 2)
Let c(s) be the second derivative of -s**5/4 + 1835*s**4/12 + 5081*s. Find b such that c(b) = 0.
0, 367
Suppose 0 = -a + 3*y + 9 + 7, 0 = -4*y - 16. Suppose -a*u + 12*u = 16. Let -2*z + 0 + 2/3*z**u = 0. Calculate z.
0, 3
Let u(n) be the first derivative of 15*n**6/2 - 36*n**5 - 95*n**4/4 + 370*n**3/3 + 40*n**2 - 160*n + 1930. What is i in u(i) = 0?
-1, 2/3, 4/3, 4
Factor 5*u**2 + 7*u**3 - 3*u**2 + 1715*u**4 - 3*u**2 - 1707*u**4.
u**2*(u + 1)*(8*u - 1)
Let a(b) be the third derivative of -b**5/330 - 1479*b**4/22 - 6562323*b**3/11 - 2*b**2 - 5462. Factor a(h).
-2*(h + 4437)**2/11
Let l(a) = a**2 + 3*a - 16. Let r = 39 + -36. Let q be l(r). Factor -10*d - d**q - 18*d**3 - 5 + 19*d**3 - 3.
(d - 4)*(d + 1)*(d + 2)
Suppose 307*i + 150 = 382*i. Factor 0 - 2/13*d**i - 2/13*d**3 + 0*d.
-2*d**2*(d + 1)/13
Let i(y) = 13*y**2 - 3867*y + 3904. Let u(j) = -24*j**2 + 7734*j - 7800. Let r(n) = 9*i(n) + 5*u(n). Factor r(b).
-3*(b - 1288)*(b - 1)
Suppose 12*o**5 + 0 + 1912/3*o**3 - 1424/3*o**2 + 352/3*o - 292*o**4 = 0. Calculate o.
0, 2/3, 1, 22
Factor 31/9*w**2 + 1/9*w**4 - 7/3*w - 11/9*w**3 + 0.
w*(w - 7)*(w - 3)*(w - 1)/9
Suppose 1283 = -11*d + 4176. Factor -1210*j**5 - 89*j**3 + 242*j**2 + 192*j**4 - d*j**3 - 64*j + 14*j**2 + 1174*j**5.
-4*j*(j - 2)**2*(3*j - 2)**2
Let l be (-1 + (-33)/(-21))/((-16)/(-56)). Factor -3*b**2 + 53 - 5*b**l - 164*b**3 - 53.
-4*b**2*(41*b + 2)
Solve 0 - 57*n + 15/4*n**3 + 22*n**2 - 1/4*n**4 = 0 for n.
-6, 0, 2, 19
Let z be ((-118)/295)/(1/525). Let j be (1668/z - -8)*135. Factor 36/7*a - 36/7*a**3 + 6/7*a**4 + 48/7*a**2 - j.
6*(a - 3)**2*(a - 1)*(a + 1)/7
Let x(b) be the first derivative of 1/10*b**3 + 25*b + 1/10*b**4 + 3/100*b**5 + 0*b**2 + 29. Let z(u) be the first derivative of x(u). Solve z(n) = 0.
-1, 0
Let q be 2*(1 - 21/(-14)). Suppose -3*i - 2*i = 5*n - 30, -3*n = -q*i + 14. Factor -5/3*z - n*z**2 + 7/3*z**4 + 2/3*z**3 + z**5 - 1/3.
(z - 1)*(z + 1)**3*(3*z + 1)/3
Suppose 12 = 4*n + p, 23*p = 8*n + 19*p - 24. Suppose -4/11*g + 5/11*g**4 + 0 + 3/11*g**n + 1/11*g**5 - 5/11*g**2 = 0. What is g?
-4, -1, 0, 1
Factor 194/3*b**4 + 0 + 0*b - 9212/3*b**3 - 1/3*b**5 - 19208/3*b**2.
-b**2*(b - 98)**2*(b + 2)/3
Solve 58/5*l**3 + 14/5*l**2 - 394/5*l - 2/5*l**4 - 348/5 = 0 for l.
-2, -1, 3, 29
Factor 37538/3 - 5/6*r**3 - 62472*r - 913/2*r**2.
-(r + 274)**2*(5*r - 1)/6
Let i = 9541 - 9537. Let y(q) be the second derivative of -1/18*q**i - 25*q - 2*q**3 + 0 - 27*q**2. Solve y(z) = 0 for z.
-9
Factor -1481760 - 1587600*t - 5*t**5 + 0*t**5 - 16488*t**3 - 478800*t**2 - 650*t**4 - 12512*t**3.
-5*(t + 2)**2*(t + 42)**3
Let i = 11/7418 - 11149331/51926. Let p = i + 215. Factor 4/7*x**2 - 4/7*x**4 + p*x + 0*x**3 + 0 - 2/7*x**5.
-2*x*(x - 1)*(x + 1)**3/7
Let s(m) be the second derivative of -m**4/6 - 26*m**3/3 - 4*m + 5. Factor s(h).
-2*h*(h + 26)
Let q = 14335/4 - 3578. Let i = 130 + -128. Find l such that q*l - 3/2 - 7/4*l**i = 0.
2/7, 3
Suppose 0 = -1084*y + 8625 - 6457. Factor 25/2*t**3 - 5/2 + 85/4*t + 145/4*t**y.
5*(t + 1)*(t + 2)*(10*t - 1)/4
Let f(n) = -n**2 - 26*n - 111. Let b be f(-23). Let c be (-17)/(102/9) - 99/b. Find o such that 2/7*o**3 + c*o**4 - 2/7*o + 0 - 6/7*o**2 = 0.
-1, -1/3, 0, 1
Let b(d) be the second derivative of 675/2*d**3 + 160*d + 0 - 5/2*d**6 + 5/42*d**7 - 225/2*d**4 + 45/2*d**5 - 1215/2*d**2. Find m such that b(m) = 0.
3
Let k(a) be the second derivative of a**4 + 2/15*a**6 + 0 + 57*a - 6*a**3 + 0*a**2 + a**5. Factor k(d).
4*d*(d - 1)*(d + 3)**2
Let b(h) be the third derivative of h**5/210 + 22*h**4/21 - 155*h**3/7 - 2599*h**2. Factor b(s).
2*(s - 5)*(s + 93)/7
Find f such that 972/5*f + 3/5*f**3 - 192 - 252/5*f**2 = 0.
2, 80
Let k(i) = -30*i**2 + 49*i + 40. Let a(d) = -7*d**2 + 12*d + 10. Suppose 0 = -7*c - 40 - 2. Let u(x) = c*k(x) + 26*a(x). Solve u(t) = 0 for t.
-1, 10
Let s(t) be the second derivative of t**6/30 + 2*t**5/15 - t**4/2 - 43*t**2/2 + 95*t. Let v(u) be the first derivative of s(u). Factor v(m).
4*m*(m - 1)*(m + 3)
Factor -44/3*n**4 + 0*n + 0 - 20/3*n**2 + 224/3*n**3.
-4*n**2*(n - 5)*(11*n - 1)/3
Let b(y) = -19*y**2 + 3480*y + 3027625. Let a(z) = -15*z**2 + 3480*z + 3027620. Let t(l) = 5*a(l) - 4*b(l). Suppose t(g) = 0. Calculate g.
-1740
Let l(b) be the second derivative of -b**5/30 - 47*b**4/9 - 2209*b**3/9 + 2*b - 473. Let l(y) = 0. Calculate y.
-47, 0
Let d(b) be the second derivative of -25/4*b**5 - 80*b + 5*b**2 - 185/6*b**4 - 3 - 235/6*b**3. Let d(i) = 0. Calculate i.
-2, -1, 1/25
Suppose -x + 16 = 14. Factor -1 - 78 + 3*u**x + 47 + 2*u - 40 + 4*u.
3*(u - 4)*(u + 6)
Suppose 0 = 3*y - 85 - 83. Factor -p**3 + y - 306661*p**2 - p**3 + 306683*p**2 - 64*p.
-2*(p - 7)*(p - 2)**2
Let t(x) be the third derivative of 0 + 17/6*x**3 - 1/900*x**6 + 0*x**4 + 0*x + 17*x**2 + 0*x**5. Let j(w) be the first derivative of t(w). Factor j(r).
-2*r**2/5
Let k be (-19)/((-2470)/(-20)) - (-4)/26. Let m(j) be the first derivative of 1/10*j**2 + k*j + 10 - 1/15*j**3. Solve m(h) = 0 for h.
0, 1
Let l(i) = i**3 - 10*i**2 + 13*i + 13. Let f be l(8). Let y be (f - -16) + 85/(-25). Let -2*o + 0 + 2/5*o**3 - y*o**2 = 0. What is o?
-1, 0, 5
Let i(x) be the third derivative of -x**2 + 1/480*x**6 + 110 + 0*x + 1/40*x**5 - 19/96*x**4 - x**3. Factor i(t).
(t - 3)*(t + 1)*(t + 8)/4
Let w be -279 + -10 - (-3 - 0). Let y be ((-2)/(-7))/(w/(-77) + -2). Factor -1/6*l**2 + 0*l + y.
-(l - 1)*(l + 1)/6
Let x = -33 - -16. Let r be (2/5)/(x/(-170)). Suppose 5*y**5 - 140*y + 140*y - 10*y**2 - 5*y**3 + 10*y**r = 0. Calculate y.
-2, -1, 0, 1
Let d(a) = 405 - 7*a + 19*a - 2*a + 17*a + 300. Let n be d(-26). Find k such that 3/2*k**2 + 0 + 0*k + 3/4*k**n = 0.
-2, 0
Let p(j) = 41*j + 95. Let g(s) = -40*s - 101. Let r(f) = 3*g(f) + 2*p(f). Let h be r(-3). Solve 2/3*i**2 + 25/6*i + h = 0.
-6, -1/4
Let z(w) be the third derivative of w**7/525 + 11*w**6/150 - w**5/6 - 23*w**4/30 - 16*w**2 + 5*w - 11. Factor z(f).
2*f*(f - 2)*(f + 1)*(f + 23)/5
Le