2 + 103*y**2 - 55*y**2 - 15*y**3 + 6*y**r + 18*y = 0. Calculate y.
-1, 0, 3/2, 2
Let -169/7*y**2 + 1/7*y**3 - 171/7 - 341/7*y = 0. Calculate y.
-1, 171
Let r = -62049 + 62051. Factor 5/2*t**3 + 5/2*t - 5*t**r + 0.
5*t*(t - 1)**2/2
Factor f**4 - f**5 - 6763*f**3 - 6767*f**3 + 13550*f**3.
-f**3*(f - 5)*(f + 4)
Let j(n) be the third derivative of 1/135*n**5 + 6 + 1/270*n**6 + 5*n**2 + 0*n**4 + 0*n**3 + 0*n. Factor j(h).
4*h**2*(h + 1)/9
Factor 17262 + 2*a**3 - 634 + 21878 + 18626 + 57960*a + a**3 + 831*a**2.
3*(a + 1)*(a + 138)**2
Let l be -1*(-4)/(-8)*0/(-9). Let q(y) be the second derivative of l*y**2 - 1/12*y**4 + 0 - 1/6*y**3 - 15*y. Factor q(p).
-p*(p + 1)
Let l(u) = -6*u**2 - 341*u + 1925. Let b be l(-62). Suppose 4/9 - 2/9*v - 4/9*v**2 + 2/9*v**b = 0. Calculate v.
-1, 1, 2
Let c(b) be the second derivative of b**5/140 - 39*b**4/28 + 115*b**3/21 - 71*b + 12. Factor c(m).
m*(m - 115)*(m - 2)/7
Suppose 5*f + 767 = 3*a + a, 4*a + 628 = -4*f. Let s = f + 279. Determine y, given that 5*y**2 + 123*y**4 - 1 + 2*y + 3*y**3 - y**5 + 1 - s*y**4 = 0.
-1, 0, 2
Let x = 151/301 - 1/602. Let w(q) be the second derivative of 0*q**2 + 0 - 5*q - x*q**4 - 1/2*q**3. Solve w(p) = 0.
-1/2, 0
Factor -93100/9*f + 840*f**2 + 2/9*f**4 - 212/9*f**3 + 85750/9.
2*(f - 35)**3*(f - 1)/9
Let i be ((-3)/(-15) + 16/(-40))/((-1)/20). Let 5/7*s**2 - 6/7 + 1/7*s**i - 5/7*s**3 + 5/7*s = 0. Calculate s.
-1, 1, 2, 3
Let f(v) be the third derivative of v**6/240 - 71*v**5/120 + 139*v**4/48 - 23*v**3/4 - 282*v**2 + 5. Suppose f(h) = 0. What is h?
1, 69
Let b(d) = -d**3 + 24*d**2 + d - 19. Let o be b(24). Determine u so that o*u + 848*u**2 + 8 - u - 860*u**2 = 0.
-2/3, 1
Let j(i) = i**3 + 3*i**2 - 3. Let s(z) = -5*z**3 + 29*z**2 + 44*z - 72. Let h(g) = -4*j(g) - s(g). Factor h(u).
(u - 42)*(u - 1)*(u + 2)
Let c(n) be the second derivative of -n**7/14 + 33*n**6/10 - 621*n**5/10 + 1215*n**4/2 - 6561*n**3/2 + 19683*n**2/2 + n - 505. What is w in c(w) = 0?
3, 9
Let o(w) be the first derivative of 2*w**3/3 + 927*w**2 + 1852*w + 725. Factor o(u).
2*(u + 1)*(u + 926)
Suppose 16*a + 147 = -12*a + 735. Let u(m) be the second derivative of 3/13*m**2 - 1/78*m**4 + 0 + 2/39*m**3 - a*m. Factor u(r).
-2*(r - 3)*(r + 1)/13
Let t be (-4)/360*8*-5. Suppose 5*l = -4*n - 14 + 22, -4*n + 8 = 2*l. Factor -4/9*s**2 + 0 + t*s**4 + 2/9*s**5 + l*s**3 - 2/9*s.
2*s*(s - 1)*(s + 1)**3/9
Let b(i) = i**3 + i. Let r(w) = -w**3 - 9*w**2 + 25*w + 7. Let n(x) = -2*b(x) - r(x). Let k(u) be the first derivative of n(u). Find d, given that k(d) = 0.
3
Let k = -68 - -104. Determine j, given that 8*j**2 - 6 + k*j + 12*j**2 - 5 + 3 = 0.
-2, 1/5
Let b(w) be the first derivative of -w**6/2 - 24*w**5 - 378*w**4 - 2114*w**3 - 10149*w**2/2 - 5202*w - 774. Suppose b(s) = 0. Calculate s.
-17, -3, -2, -1
Let j be -763*((4 + -2 - 1) + -2). Let b = -3801/5 + j. Solve 12*t**3 - 8/5 + 48/5*t - 86/5*t**2 - b*t**4 = 0.
2/7, 1, 2
Solve -1/6*r**2 - 203*r - 1217/6 = 0 for r.
-1217, -1
Suppose 0 = 2*g - 2*j + 3 + 7, -5*g = 2*j + 18. Let x(d) = d + 6. Let t be x(g). Factor 0*b - 3*b**t + 4*b**2 - 4*b - 3*b**2.
-2*b*(b + 2)
Let g be 0/(-20)*(3 - 2). Suppose 4*v = v + 3*r + 6, g = -4*v - 4*r + 16. What is i in 3/4*i**v - 3/4*i + 3/2 - 3/2*i**2 = 0?
-1, 1, 2
Let o(j) = 2*j**3 - 106*j**2 - 457*j + 57. Let r be o(57). Factor 8*s + 9/2*s**3 + 1/2*s**4 + r + 12*s**2.
s*(s + 1)*(s + 4)**2/2
Suppose -28*g + 26*g + 112 = 0. Let y = g - 32. Suppose y*b + 5*b**2 - b + 15 - 3*b = 0. Calculate b.
-3, -1
Let f = -119269/10 - -11927. Let m(p) be the first derivative of -2/5*p - 35 + f*p**4 + 2/15*p**3 - 1/5*p**2. Determine i so that m(i) = 0.
-1, 1
Let j be (-10)/3*(-240)/100. Suppose -2*t - j*t + 180 = 0. Solve -8 + 0*b**2 - t*b + 2*b**2 - 7 - 5*b**2 = 0.
-5, -1
Let j be (-6)/(-15)*((-81315)/6912 + 5). Let m = -5/128 - j. Solve -16/3*k - 32/3*k**2 + m*k**4 + 0 - 4*k**3 + 4/3*k**5 = 0.
-2, -1, 0, 2
Let t(g) be the first derivative of -g**5/5 + 8*g**4/3 - 14*g**3 + 36*g**2 - 95*g + 58. Let l(o) be the first derivative of t(o). Solve l(j) = 0.
2, 3
Let y(s) = 22*s**5 + 156*s**4 + 20*s**3 + 2*s**2 + 4*s. Let x(t) = 26*t**5 + 156*t**4 + 19*t**3 + 3*t**2 + 6*t. Let z(c) = -2*x(c) + 3*y(c). Factor z(u).
2*u**3*(u + 11)*(7*u + 1)
Let y be (-314)/5495 + (-1)/20*(9120/(-42) - -6). Suppose -114*f - 30 - 57/2*f**2 + y*f**3 = 0. What is f?
-2, -2/7, 5
Solve 0 + 8*o**2 + 30/7*o - 2/7*o**5 + 20/7*o**3 - 8/7*o**4 = 0.
-5, -1, 0, 3
Let t(g) be the first derivative of g**5 + 25*g**4/4 + 5*g**3 - 45*g**2/2 + 1019. Suppose t(b) = 0. Calculate b.
-3, 0, 1
Let t(v) be the third derivative of -98/3*v**3 - 1/15*v**5 + 25/3*v**4 + 0 + 84*v**2 + 0*v. Factor t(h).
-4*(h - 49)*(h - 1)
Let v(x) be the third derivative of -x**5/100 + 3*x**4/20 - 4*x**3/5 - 730*x**2. Factor v(z).
-3*(z - 4)*(z - 2)/5
Let p(c) be the first derivative of -c**7/70 + c**6/10 + 13*c**5/20 - 5*c**4 - 24*c**3 - 30*c**2 + 266. Let y(a) be the second derivative of p(a). Factor y(w).
-3*(w - 4)**2*(w + 1)*(w + 3)
Let p = 602885/2 + -301438. Factor -3/2*t**2 - p - 6*t.
-3*(t + 1)*(t + 3)/2
Let r = -208/25 + 4601/550. Let m(j) be the third derivative of 0*j + 0 + 0*j**3 + 7/330*j**5 - r*j**4 + 7*j**2 + 1/132*j**6. Factor m(b).
2*b*(b + 2)*(5*b - 3)/11
Factor 582880*j**5 - 582882*j**5 + 32*j**4 + 2*j - 78*j**3 - 2*j.
-2*j**3*(j - 13)*(j - 3)
Let 0*c - 1/6*c**3 + 0 + 8/3*c**2 = 0. Calculate c.
0, 16
Let s(b) be the first derivative of b**5/120 + 37*b**4/24 + 1369*b**3/12 - 49*b**2 - 38. Let v(n) be the second derivative of s(n). Solve v(f) = 0 for f.
-37
Let t(x) be the first derivative of 2*x**3/3 + 278*x**2 + 3436. Factor t(n).
2*n*(n + 278)
Let t be (4/3)/((-2)/(-36)). Suppose 0 = 3*o + 5*z - 60 + 21, 5*o = -13*z + 93. Factor 74/5*g**2 + 2/5*g**4 + 72/5 + 4*g**o + t*g.
2*(g + 2)**2*(g + 3)**2/5
Let h = 280 - 1055. Let i = 775 + h. What is g in 2/5*g**2 - 2/5 + i*g = 0?
-1, 1
Let v(r) = 6*r**2 - 7*r - 32. Let j be v(-14). Factor -216*d - j*d**3 + 1410*d**5 + 48*d**5 + 598*d**2 - 972*d**4 + 16 + 358*d**2.
2*(d - 1)*(d + 1)*(9*d - 2)**3
Let c be ((-6052)/8)/(4/8) + 4. Let h = 1511 + c. Let 2/13*k**3 + 0 - 6/13*k**h + 4/13*k = 0. Calculate k.
0, 1, 2
Let y be (6/(-8))/(10/(-42 - -2)). Suppose -2*l + 3*l**3 + 6*l**3 + 6*l**y - 5*l**2 + 8 + 4*l**3 - 20*l**3 = 0. Calculate l.
-4, -2, 1
Let n = 8815 + 9866. What is s in 7*s**2 - 18711*s + n*s - 2*s**2 = 0?
0, 6
Let d be (-114 - 81079/(-712)) + 50/16. Let -9/2 + 3/2*k**d + 9/2*k**2 - 3/2*k = 0. What is k?
-3, -1, 1
Let v = -1412 - -1416. Let p(d) be the second derivative of -3/14*d**3 + 1/28*d**v + 0 + 9*d + 0*d**2. Factor p(i).
3*i*(i - 3)/7
Factor -46*y + y**3 + 8*y - 1293 - 35*y**2 - 1309 + 2674.
(y - 36)*(y - 1)*(y + 2)
Let y be (2/10 + (988/(-140) - -7))*2. Let r(i) be the third derivative of 0*i - 1/210*i**5 + 0 - 1/12*i**4 - y*i**3 + 3*i**2. What is o in r(o) = 0?
-6, -1
Suppose 0 = 2*p - 6*n + 7*n - 1, 2*p + 5*n - 5 = 0. Suppose -3*f + a + 5 = p, 0 + 5 = -5*f - a. Determine s, given that 0*s**2 + 3/2*s**3 - 6*s + f = 0.
-2, 0, 2
Let x(i) = 6*i**2 - 72*i - 126. Let t(o) = o**2 - 4*o + 1. Let f(a) = 6*a**2 - 83*a - 123. Let r(m) = -f(m) + 3*t(m). Let l(w) = 3*r(w) + 2*x(w). Factor l(y).
3*(y + 2)*(y + 21)
Let -1/2*q**5 + 177/2*q**3 + 0*q - 25/2*q**4 - 279/2*q**2 + 0 = 0. What is q?
-31, 0, 3
Let d = -54896 + 54898. Find b such that -5/2*b**d + 25/2*b**5 - 5*b + 45/2*b**3 + 0 + 65/2*b**4 = 0.
-1, 0, 2/5
Let c(z) be the second derivative of z**5/100 - 213*z**4/20 + 45369*z**3/10 - 9663597*z**2/10 + 7*z - 91. Determine n, given that c(n) = 0.
213
Let k = 188397 - 188392. Determine l, given that 0 + 4/15*l**k - 4/5*l - 28/15*l**3 + 2/15*l**4 - 38/15*l**2 = 0.
-2, -1, -1/2, 0, 3
Suppose 5*g + 7 = 72*u - 68*u, -3*g + 6 = u. Factor -2/11*z**u + 14/11*z**2 + 0 + 16/11*z.
-2*z*(z - 8)*(z + 1)/11
Let s(j) be the first derivative of -j**6/15 - 168*j**5/25 - 962*j**4/5 - 896*j**3 - 1280*j**2 + 8816. Factor s(z).
-2*z*(z + 2)**2*(z + 40)**2/5
Let i(h) be the third derivative of h**8/840 + h**7/21 + 41*h**6/100 + 167*h**5/150 - 22*h**4/15 - 76*h**3/5 + 425*h**2 - 2. What is p in i(p) = 0?
-19, -3, -2, 1
Determine t so that 447*t**3 + 6864*t**2 + 750141*t - 3*t**4 - 21695*t**2 + 120*t**3 - 20890*t**2 = 0.
0, 63
Let x(t) = 2*t**2 - t - 3. Let u(w) = -108*w**2 + 2525*w - 16185. 