e q(-77). Let -1107/5*y**2 - 357/5*y**3 - 39/5*y**w - 243*y - 162/5 = 0. What is y?
-3, -2/13
Let w(t) = -t - 5. Let h be w(-8). Let x be 1/(-3) - (-10)/h. Factor 0*y**4 - 3*y**4 + 0*y**4 - 8*y**2 - y**2 + 12*y**x.
-3*y**2*(y - 3)*(y - 1)
Suppose 4 - 180 = -4*g. Let j = g - 40. Determine r so that -1 + 36*r**2 + 74*r**4 - 94*r**4 + 12*r**3 + 1 + j*r**5 = 0.
-1, 0, 3
Suppose 0 = -3*s + 3*b + 105, 7550 = 4*b + 7618. Factor -57*c**3 + 0 - s*c**2 - 7/4*c**5 + 41/2*c**4 + 0*c.
-c**2*(c - 6)**2*(7*c + 2)/4
Let z(y) = -22*y**3 - 32*y**2 + 34*y - 28. Let m(u) = -20*u**3 - 31*u**2 + 35*u - 28. Let i(p) = 12*m(p) - 11*z(p). Factor i(d).
2*(d - 7)*(d - 2)*(d - 1)
Let m(d) = -66*d**2 + 2351*d - 463326. Let o(h) = -19*h**2 + 784*h - 154443. Let b(j) = 2*m(j) - 7*o(j). Let b(a) = 0. What is a?
393
Let z(y) be the second derivative of y**6/15 - 31*y**5/10 + 179*y**4/6 - 269*y**3/3 + 120*y**2 + 39*y - 5. Factor z(w).
2*(w - 24)*(w - 5)*(w - 1)**2
Let h(s) be the third derivative of s**6/40 - 1011*s**5/10 + 340707*s**4/2 - 153091012*s**3 + 2*s**2 - 70*s. Factor h(k).
3*(k - 674)**3
Let k be (0/1)/(15/(-40)*-8 + 0). Let r(z) be the second derivative of 1/4*z**3 - 3/20*z**5 + 0*z**4 + k + 0*z**2 - 29*z + 1/28*z**7 + 0*z**6. Factor r(i).
3*i*(i - 1)**2*(i + 1)**2/2
Let z(j) be the second derivative of -1/9*j**3 + 1/90*j**6 + 0*j**2 - 1/40*j**5 - 29*j + 0 - 1/9*j**4 + 1/252*j**7. Factor z(c).
c*(c - 2)*(c + 1)**2*(c + 2)/6
Suppose -2/13*v**4 - 358/13*v - 42/13*v**3 + 12 + 246/13*v**2 = 0. Calculate v.
-26, 1, 3
Let y be -255*(464/(-20) - -2). Suppose -3*x**4 - 7*x**4 - 6*x**2 - y*x**3 + 5392*x**3 - 2*x**5 = 0. What is x?
-3, -1, 0
Let q(m) be the first derivative of 5*m**6/36 - 7*m**5/6 + 25*m**4/8 - 65*m**3/18 + 5*m**2/3 - 1870. Factor q(f).
5*f*(f - 4)*(f - 1)**3/6
Factor 119286/5*a - 423/5*a**2 - 11212884/5 + 1/10*a**3.
(a - 282)**3/10
Let k(p) be the first derivative of p**5 - 25*p**4 + 185*p**3/3 - 45*p**2 - 2381. Factor k(m).
5*m*(m - 18)*(m - 1)**2
Let b be ((-296)/12 - 0)*105/(-8). Let g = b + -323. Factor 3 + 15/4*z + g*z**2.
3*(z + 1)*(z + 4)/4
Let a(o) = -6*o + 162. Let q be a(26). Factor 22*m**2 + 150 - q*m**3 - 6 + 18*m**2 - 132*m + 2*m**3.
-4*(m - 4)*(m - 3)**2
Let n = 106811 + -320407/3. Factor 11/3*y - n + 1/3*y**2.
(y - 2)*(y + 13)/3
Find m, given that -10*m**4 + 0 - 8/3*m**5 + 4*m**3 + 118/3*m**2 + 28*m = 0.
-3, -7/4, -1, 0, 2
Let o(g) be the third derivative of -g**6/540 + 7*g**5/45 + 22*g**4/27 + 198*g**2. What is b in o(b) = 0?
-2, 0, 44
Let v = 143 + -149. Let m be ((-715)/(-150) - 3) + v/4. Suppose 0*c + 2/15*c**4 - m*c**3 + 0 + 2/15*c**2 = 0. What is c?
0, 1
Let o be 1/((-5)/(6 - 21)). Factor 2*t**4 - o*t**4 + 0*t**4 + t**3 + 3*t**2 + 11*t - 4*t**3 + 6.
-(t - 2)*(t + 1)**2*(t + 3)
Let v(p) = -p**3 - 30*p**2 + 13*p + 26. Let m = 371 + -396. Let k(j) = -5*j**3 - 180*j**2 + 80*j + 155. Let q(h) = m*v(h) + 4*k(h). Factor q(o).
5*(o - 1)*(o + 1)*(o + 6)
Suppose -4279*n - 5*i = -4278*n + 15, -2*i - 6 = -3*n. Factor 243/5*j - 54/5*j**2 + n + 3/5*j**3.
3*j*(j - 9)**2/5
Let s be ((-86)/(-3))/(26/39). Find v, given that -7*v**2 + 23*v**2 - 31*v + 4*v**3 + s*v = 0.
-3, -1, 0
Let v = 100583/14409 - -209/1601. Find x, given that -256/3*x - 46/9*x**3 + 124/3*x**2 + v = 0.
2/23, 4
Let b(j) be the third derivative of 0*j**5 - 1/1680*j**8 + 40*j**2 - 1/1050*j**7 + 0*j**3 + 0*j**4 - j + 0 + 1/300*j**6. Let b(r) = 0. What is r?
-2, 0, 1
Let i = 2/269 - -227839/538. Let l = -423 + i. Determine t, given that -l*t**2 - 8 + 4*t = 0.
4
Let x(i) = -6*i**3 - 48*i**2 + 940*i - 4. Let w(h) = 11*h**3 + 97*h**2 - 1873*h + 7. Let y(u) = 4*w(u) + 7*x(u). Solve y(f) = 0.
-38, 0, 12
Let h(l) = 8*l**2 + 12*l + 10. Let a(p) = 7*p**2 + 12*p + 10. Suppose j - 72 = -11*j. Let r(z) = j*a(z) - 5*h(z). Factor r(g).
2*(g + 1)*(g + 5)
Let j(t) be the third derivative of t**8/168 - 184*t**7/7 + 31740*t**6 - 90*t**2 + 6*t + 2. Solve j(u) = 0 for u.
0, 1380
Suppose 518*l**2 + 128 - 1606*l**2 + 33*l + 4*l**3 + 540*l**2 + 504*l**2 + 47*l = 0. Calculate l.
-1, 4, 8
Let w(u) be the first derivative of -4*u**5/25 - 14*u**4/5 - 20*u**3/3 - 24*u**2/5 - 954. Factor w(j).
-4*j*(j + 1)**2*(j + 12)/5
Let u = 1048 - 816. Let h = u - 232. Factor 1/5*y**2 + h + 1/5*y**3 + 0*y.
y**2*(y + 1)/5
Suppose -4*v + 6 = -2. Factor 10*l**2 + 9*l**2 - 21*l**2 + 5*l**v.
3*l**2
Let q = -14303 + 14311. Let c(j) be the first derivative of -26/3*j**2 + 5/12*j**4 + 35 + q*j - 22/9*j**3. Factor c(d).
(d - 6)*(d + 2)*(5*d - 2)/3
Let i(r) = -r - 13. Let m(x) = x**2 + 672*x - 561. Let q(f) = 40*i(f) + 5*m(f). Factor q(s).
5*(s - 1)*(s + 665)
Let r be (-1)/(-6 + 7)*-403. Solve -409*k**3 - k**4 + r*k**3 - 8*k**2 - 4*k - k**2 = 0 for k.
-4, -1, 0
Let x(z) be the first derivative of 4*z**5/5 - 42*z**4 - 2860*z**3/3 - 4323. Determine c so that x(c) = 0.
-13, 0, 55
Let m be (-5)/((-552)/(-506) + 2/(-22)) + (-9 - -14). Solve 5*s**3 + 16/3*s**2 + m*s + 0 - 1/3*s**4 = 0.
-1, 0, 16
Let v(h) = 2*h**5 + 61*h**4 + 60*h**3 + h**2 - h + 2. Let d(u) = u**5 - u**4 - 3*u**3 - u**2 + u - 2. Let b(y) = -d(y) - v(y). Factor b(t).
-3*t**3*(t + 1)*(t + 19)
What is x in 50*x**3 - 1952/5 - 1/5*x**4 - 1476/5*x**2 + 2936/5*x = 0?
2, 244
Let w(o) = 0 + 2 - o**2 - 7*o - 1. Let k be w(-5). Determine f so that -10*f**2 + 0 + 10 + 6*f + 5*f**3 - k*f = 0.
-1, 1, 2
Let r(t) = 6*t - 5 - 15*t - 3 - t**2. Let o be r(-4). Let z(a) = -22*a**3 - 2*a**2 - 12. Let x(g) = 9*g**3 + g**2 + 5. Let y(d) = o*x(d) + 5*z(d). Factor y(f).
-2*f**2*(f - 1)
Let q(t) = -4*t**3 - 6*t**2 + 22*t - 81. Let w be q(5). Let x be (-744)/w - 6/69. Find z, given that x*z**2 - 2/3*z - 2 - 2/9*z**3 = 0.
-1, 3
Let i be -5 + 8/((-64)/(-56)). Suppose -f - i*u + 9 = 1, -4 = f - 2*u. Factor 48/11*l + f*l**2 + 8/11.
2*(l + 2)*(11*l + 2)/11
Suppose 5500*c - 1296823 - 272195 + 126061 - 2*c**2 - 2338293 = 0. What is c?
1375
Let l(v) be the first derivative of 1/9*v**3 + 79 + 3*v + v**2. Find u, given that l(u) = 0.
-3
Let k(o) be the second derivative of o**8/336 - o**7/70 - o**6/30 + 4*o**5/15 - 8*o**3/3 - o**2 - 93*o. Let m(u) be the first derivative of k(u). Factor m(c).
(c - 2)**3*(c + 1)*(c + 2)
Let w be ((-4)/(-30))/(620/(-930)) - (-2 - -1). Find n, given that -w*n + 2/5*n**2 + 0 = 0.
0, 2
Factor -2*t**2 + 500*t**3 + 359*t**3 - 236 - 239 + 475.
t**2*(859*t - 2)
Let d = -2134 + 3003. Let g(j) = j**2 - 3*j + 2. Let h be g(6). Suppose -3*o**2 + 853*o + h - o**2 - d*o = 0. What is o?
-5, 1
Let z(y) be the second derivative of -3*y**5/40 - 9*y**4/2 - 357*y**3/4 - 867*y**2/2 - 25*y - 13. Solve z(d) = 0 for d.
-17, -2
Suppose 5*t = 20 - 45. Let o(k) = k**2 + 4*k - 2. Let u(g) be the first derivative of -g + 8. Let z(f) = t*u(f) + o(f). Factor z(a).
(a + 1)*(a + 3)
Let y(o) be the second derivative of -o**5/4 - 65*o**4/4 + 135*o**3/2 - 205*o**2/2 + o + 125. Suppose y(i) = 0. Calculate i.
-41, 1
Suppose 4*a - 32 + 8 = 0. Let f be 1 - 5/a - (-33)/22. Find o such that -5 - 10/3*o + f*o**2 = 0.
-1, 3
Suppose 4*w + 493*i - 495*i = -24, 0 = -3*w + i - 10. Factor -2/3*h**2 - w*h + 8/3.
-2*(h - 1)*(h + 4)/3
Let b(a) be the third derivative of -1/3*a**4 + 0 + 1/12*a**5 - 3*a**2 + 2/3*a**3 - 1/120*a**6 - 4*a. Suppose b(c) = 0. What is c?
1, 2
Solve 6/5*c**2 - 24/5 - 4/5*c + 1/5*c**3 = 0 for c.
-6, -2, 2
Let d = -59702 + 59705. Let 6/7*h**5 + 96/7*h**2 - 72/7*h - 24/7*h**4 - 6/7*h**d + 0 = 0. Calculate h.
-2, 0, 1, 2, 3
Let j(o) be the first derivative of -4/15*o**5 - 8/3*o**4 - 32/3*o**3 - 64/3*o**2 - 64/3*o + 65. Factor j(r).
-4*(r + 2)**4/3
Let r(x) be the second derivative of x**6/90 + 3*x**5/20 + 7*x**4/9 + 2*x**3 + 8*x**2/3 + 1084*x + 1. Let r(m) = 0. Calculate m.
-4, -2, -1
Let s(r) be the first derivative of -19*r**4/22 - 62*r**3/11 - 104*r**2/11 + 24*r/11 - 1077. Find b such that s(b) = 0.
-3, -2, 2/19
Let c(d) be the first derivative of d**4/96 + 3*d**3/8 + 2*d**2 - 219*d + 72. Let f(a) be the first derivative of c(a). Factor f(q).
(q + 2)*(q + 16)/8
Let z be 51867/1620 + -29 - (-1 + 4). Let s(k) be the third derivative of 0*k - z*k**4 - 1/300*k**5 + k**2 + 0 - 1/30*k**3. Find h such that s(h) = 0.
-1
Let u be ((-96)/(-36))/(48/36). Let p(a) be the first derivative of 9/20*a**u + 1/2*a - 1/15*a**3 + 9. Suppose p(k) = 0. What is k?
-1/2, 5
Suppose -18*b + 6 = -23*b + 2*w, w = 2*b + 3. Let l(d) b