r r(z).
4*(z - 1)**2*(11*z - 4)
Suppose 66*y + 2 = 67*y. Find z, given that -109*z**4 + 21*z**5 + 9*z**2 + 52*z**4 - 7*z**2 + 24*z**3 + 10*z**y = 0.
-2/7, 0, 1, 2
Let u be (-4)/6*(-612)/3468. Solve u*k**3 + 0*k**2 + 0*k + 0 = 0 for k.
0
Let r(i) be the first derivative of i**4/4 - 2*i**3 - 7*i**2/2 + 329. Let r(d) = 0. What is d?
-1, 0, 7
Let u(z) be the second derivative of -z**8/14280 + z**6/1020 - z**5/510 + 2*z**3/3 - 6*z. Let g(l) be the second derivative of u(l). Factor g(x).
-2*x*(x - 1)**2*(x + 2)/17
Let w = -9/14399 + 255797/1166319. Let q = w + 2/567. Solve 4*x**3 + 26/9*x + q*x**5 + 2/3 + 44/9*x**2 + 14/9*x**4 = 0 for x.
-3, -1
Suppose -72*a = -68*a - 8. Let k be 5*(52/20 - a). Let -20/11*q**2 - 10/11*q - 20/11*q**k - 2/11*q**5 - 10/11*q**4 - 2/11 = 0. Calculate q.
-1
Let u(o) be the first derivative of 44 + 3/20*o**4 + 33/10*o**2 - 3*o - 7/5*o**3. Factor u(l).
3*(l - 5)*(l - 1)**2/5
Let x(h) = h + 12. Let g be x(-6). Suppose -g = -m - m. Factor m*p**2 - 6*p**4 - 2*p + p**4 + 4*p**4 - 4*p**3 - 8*p**2.
-p*(p + 1)**2*(p + 2)
Let 508*u**3 + 1134*u**4 - 18 + 189*u**5 + 332*u**3 - 69*u + 9*u**2 - 306*u**4 + 141*u**2 = 0. Calculate u.
-3, -1, -1/3, 2/7
Let x(f) = -f**2 + 3*f + 4. Let n be x(4). Let a = -3092 + 34016/11. Determine i, given that a*i + n - 10/11*i**2 + 8/11*i**3 - 2/11*i**4 = 0.
0, 1, 2
Let n(w) be the second derivative of 5*w**7/42 - 5*w**6/6 - 9*w**5/2 + 145*w**4/6 + 725*w**3/6 + 375*w**2/2 + 328*w. Suppose n(u) = 0. Calculate u.
-3, -1, 5
Let o(s) be the first derivative of s**6/90 - 2*s**5/15 - 4*s**3/3 + 6. Let f(m) be the third derivative of o(m). Factor f(q).
4*q*(q - 4)
Let n(g) be the first derivative of -g**3/4 + 33*g**2/4 - 98. Find z, given that n(z) = 0.
0, 22
Let t(i) = -i**2 - 6*i + 18. Let y be t(-8). Suppose -y*o = -l, 17 = 5*l + 4*o + 3. Factor -8*n - 5/2*n**3 - 2 - 17/2*n**l.
-(n + 1)*(n + 2)*(5*n + 2)/2
Let y(g) be the second derivative of -g**2 + 1/18*g**4 - 11*g + 0 + 2/9*g**3. What is q in y(q) = 0?
-3, 1
Solve -2/7*h**2 - 2016 - 48*h = 0.
-84
Let i be 3 - (-3)/(-1) - (-9 - 0). Suppose -3*b**5 - 45*b**3 + i*b**4 - 130*b**2 + 169*b**2 - 12*b + 12*b**4 = 0. Calculate b.
0, 1, 4
Let u(w) = 711*w + 3555. Let p be u(-5). Find h such that 0 - 8/3*h**2 + 2/3*h**4 + 0*h**3 + p*h = 0.
-2, 0, 2
Let f be (2/((-168)/630))/(1*10/(-1)). Factor -f*d**2 + 0 + 3/4*d.
-3*d*(d - 1)/4
Let b = 31744/13235 - -4/2647. Factor -b*f**2 - 9/5 - 39/5*f.
-3*(f + 3)*(4*f + 1)/5
Let n(u) be the second derivative of 1/51*u**4 + 12*u + 1/17*u**2 + 1/17*u**3 + 0. Determine p, given that n(p) = 0.
-1, -1/2
Let l(v) be the second derivative of -13*v - 15/4*v**2 + 3/4*v**5 - 35/12*v**4 - 5/84*v**7 + 1/12*v**6 + 0 + 55/12*v**3. Find m such that l(m) = 0.
-3, 1
Suppose -4*l = -3*y - 39, -6*y + 11*y = 2*l - 37. Suppose -2*o + 2 + 2 = 0. Factor -4*j + 2*j - 10*j**2 - l*j**3 - o*j**3.
-2*j*(j + 1)*(4*j + 1)
Let a be 6 + 3 + 9/(-3). Let c be ((-30)/(-50))/(a/20). Factor -9*q + 0*q + 3*q - 9*q + 5*q**c.
5*q*(q - 3)
Let a(q) = -q. Let g(s) = 4*s**2 - 170*s - 168. Let b(x) = -6*a(x) + g(x). Factor b(p).
4*(p - 42)*(p + 1)
Let l = -111 + 113. Factor 9*h**3 - 3*h**3 + 2*h**4 - 98*h**2 - 18*h + h**4 + 83*h**l.
3*h*(h - 2)*(h + 1)*(h + 3)
Let m(c) be the third derivative of -1/10*c**5 + 0*c + 7*c**2 + 0*c**3 - 1/40*c**6 - 1/8*c**4 + 0. Let m(s) = 0. Calculate s.
-1, 0
Solve -59 - 344*g + 2139*g**2 - 7337 - 1073*g**2 - 1070*g**2 = 0 for g.
-43
Let a(c) = c**2 + 12*c + 13. Let l be a(-13). Determine v, given that -12*v**2 - 2 - 4*v**2 - l + 20*v**2 + 24*v = 0.
-7, 1
Let l(g) be the second derivative of -g**5/15 - 55*g**4/18 - 364*g**3/9 + 196*g**2/3 + 40*g - 3. Factor l(d).
-2*(d + 14)**2*(2*d - 1)/3
Suppose 0 = -4*n + 71 + 1. Factor 5*d**5 - 8*d**5 - 12*d - 39*d**3 - 6*d**2 - n*d**4 - 30*d**2.
-3*d*(d + 1)**2*(d + 2)**2
Suppose 22 = -2*z - 4*w, -5*z + 3*z = 2*w + 20. Let c be (5 + z)*(-1)/2. Determine d so that 10*d**3 - c*d**2 - d - 8*d**3 - d + 2*d**4 = 0.
-1, 0, 1
Let t(c) = -c**2 - c - 1. Let u = -62 + 65. Let s(n) = 5*n**2 + 31*n + 101. Let z(g) = u*t(g) + s(g). Factor z(b).
2*(b + 7)**2
Let j(v) be the second derivative of v**3 + 0*v**2 + 0*v**5 + 0*v**4 + 2*v + 1/1680*v**7 + 0*v**6 + 0. Let i(y) be the second derivative of j(y). Factor i(u).
u**3/2
Suppose 3*c - 16 = 4*t, -7*c + 10*c = -2*t + 10. Factor 0*a**3 + 0 + 0*a - 3/5*a**2 + 3/5*a**c.
3*a**2*(a - 1)*(a + 1)/5
Let m(c) be the first derivative of -2/3*c**3 + 5 + 0*c + 1/2*c**2 + 1/4*c**4. Factor m(s).
s*(s - 1)**2
Let m(k) be the third derivative of -5/6*k**3 - 5/8*k**4 + 0 + 1/3*k**5 + 0*k - 10*k**2. Factor m(b).
5*(b - 1)*(4*b + 1)
Determine d, given that -6/5*d**5 + 96*d**2 - 318/5*d**3 + 76/5*d**4 - 40*d + 0 = 0.
0, 2/3, 2, 5
Let v(k) = -k**3 - 4*k + 5. Let n be v(2). Let d = n - -14. Let 3/2*p - 1/2 + 9/8*p**2 - 7/8*p**d = 0. Calculate p.
-1, 2/7, 2
Factor 0*l**3 + 0*l**2 - 3/4*l**4 + 0 + 0*l + 1/4*l**5.
l**4*(l - 3)/4
Let c(x) be the first derivative of 1/180*x**5 - 1/18*x**3 + 0*x + 3*x**2 + 0*x**4 - 1. Let y(j) be the second derivative of c(j). Solve y(d) = 0 for d.
-1, 1
Let j(o) be the first derivative of 2 - 2*o**2 + 17/48*o**4 - 1/2*o**3 - 1/24*o**5 + 0*o. Let l(a) be the second derivative of j(a). Solve l(m) = 0.
2/5, 3
Let a(l) be the first derivative of l**6/6 + 5*l**5/4 + 5*l**4/3 + 28*l - 26. Let w(h) be the first derivative of a(h). Solve w(z) = 0 for z.
-4, -1, 0
Let z = -3/712 + 1783/712. Factor -5/3*v**2 + 0*v - 5/6*v**5 + 0*v**4 + z*v**3 + 0.
-5*v**2*(v - 1)**2*(v + 2)/6
Factor 1/2*l**2 + 4418 + 94*l.
(l + 94)**2/2
Let -250*n**3 + 259*n**3 - 35*n + 24 + 15*n**4 - n - 66*n**2 = 0. Calculate n.
-2, -1, 2/5, 2
Let w(b) = -b + 1. Let h(x) = 12*x + 5. Let u(q) = h(q) + 5*w(q). Let d be u(8). Determine j, given that -d + 4*j**2 + 2*j**3 + 66 = 0.
-2, 0
Let c(f) be the second derivative of 1/4*f**4 + 0*f**3 - 6*f + 0*f**2 + 0 - 1/20*f**5. Factor c(j).
-j**2*(j - 3)
Let w(h) be the third derivative of -h**6/180 + h**5/9 + 13*h**4/36 - 22*h**3/9 + 42*h**2 + 1. Determine g, given that w(g) = 0.
-2, 1, 11
Let l = -2/3187 - -9577/25496. Factor -1/2*j**3 - 1/4*j**2 + 0 + 1/4*j**4 + 1/8*j**5 + l*j.
j*(j - 1)**2*(j + 1)*(j + 3)/8
Let p be 2/12 + 2464/1344. Find q such that 1/2*q**3 + 0 - 1/4*q**4 - 1/4*q**p + 0*q = 0.
0, 1
Factor 892 - 148*a**3 - 3780 + 299*a**4 - 2586*a**2 - 301*a**4 + 5624*a.
-2*(a - 1)**2*(a + 38)**2
Let s = -2/5453 + 10916/27265. Factor -s*x**2 + 6/5 + 4/5*x.
-2*(x - 3)*(x + 1)/5
Let r(x) be the first derivative of -x**6/15 + 6*x**5/25 - x**4/5 + 67. Factor r(d).
-2*d**3*(d - 2)*(d - 1)/5
Let w(t) be the third derivative of 0 + 3*t**2 - 4/7*t**3 + 4/35*t**5 + 0*t + 1/42*t**4. Solve w(x) = 0 for x.
-3/4, 2/3
Let j(b) be the third derivative of b**6/600 - b**5/50 - 3*b**4/2 - 108*b**3/5 + 74*b**2. Factor j(z).
(z - 18)*(z + 6)**2/5
Let s(l) be the second derivative of -3*l**6/40 - 37*l**5/20 - 15*l**4 - 18*l**3 - 2*l**2 + 23*l. Let t(k) be the first derivative of s(k). Factor t(z).
-3*(z + 6)**2*(3*z + 1)
Let i be 6/4 + 18/(-4). Let b(o) = 4*o**2 - 3*o. Let c(v) = 3*v**2 - 2*v. Let h(k) = i*c(k) + 2*b(k). Find g such that h(g) = 0.
0
Find q, given that 48/5*q + 28/5*q**2 - 18/5*q**3 + 2/5*q**4 + 0 = 0.
-1, 0, 4, 6
Solve 103823/12*d**3 - 1/12 + 47/4*d - 2209/4*d**2 = 0.
1/47
Let g(j) be the third derivative of -j**6/720 - j**5/90 + 2*j**4/9 + 14*j**2 + 17*j. Suppose g(o) = 0. Calculate o.
-8, 0, 4
Let h(s) = s**2 - 99*s + 2451. Let c be h(48). Factor 6/13*x - 20/13*x**2 + 24/13*x**c + 0 + 2/13*x**5 - 12/13*x**4.
2*x*(x - 3)*(x - 1)**3/13
Suppose -6*c + 3*c = 0. Let k(j) = 122*j + 7688. Let w be k(-63). Factor 1/2*y + c + 1/4*y**3 - 3/4*y**w.
y*(y - 2)*(y - 1)/4
Suppose 21 + 1 = 12*b - 2. Determine m, given that 0 + 0*m**b + 0*m**3 - 1/6*m**4 + 0*m = 0.
0
Let o(s) be the third derivative of -7*s**2 + 1/40*s**6 + 1/10*s**5 + 0*s + 0*s**3 + 0 + 1/8*s**4. Find i, given that o(i) = 0.
-1, 0
Suppose 60*p + 36*p**3 + 98*p**5 - 160*p**2 - 50*p**4 - 93*p**5 + 109*p**3 = 0. Calculate p.
0, 1, 2, 6
Let w(o) be the first derivative of o**3/15 + 21*o**2/10 - 46*o/5 - 91. Factor w(p).
(p - 2)*(p + 23)/5
Let n(h) be the first derivative of h**4/14 - 4*h**3/7 + 9*h**2/7 - 8*h/7 - 19. Factor n(b).
2*(b - 4)*(b - 1)**2/7
Factor 70 + 143*h**2 - 20*h**2 + 249*h + 147*h**2 + 291*h