(-6)/(-3)). Suppose -3*b = 4*p, -2*p - 18 = -v*p + 3*b. Let -1 - 21*c + 18*c + c**p - 1 = 0. Calculate c.
-1, 2
Let q(u) = -5*u**5 + 14*u**4 + 5*u**3 - 10*u**2 + 8*u. Let b(g) = -11*g**5 + 29*g**4 + 11*g**3 - 20*g**2 + 18*g. Let v(s) = -4*b(s) + 9*q(s). Factor v(r).
-r**2*(r - 10)*(r - 1)*(r + 1)
Let s(j) be the second derivative of 4*j**6/5 - 87*j**5/20 + 3*j**4 + 9*j**3/2 + 1363*j. Factor s(m).
3*m*(m - 3)*(m - 1)*(8*m + 3)
Let p(v) be the third derivative of v**7/420 - v**6/60 + v**4/3 + 83*v**3/6 + 76*v**2. Let d(n) be the first derivative of p(n). Solve d(j) = 0 for j.
-1, 2
Let m = -592877/11 - -53899. Factor 8/11*b**2 + 0*b - 2/11*b**5 + m*b**4 + 0 - 18/11*b**3.
-2*b**2*(b - 4)*(b - 1)**2/11
Let x(z) be the second derivative of z**6/75 - 149*z**5/25 + 22201*z**4/30 - 440*z. Factor x(t).
2*t**2*(t - 149)**2/5
Let k(d) = d**2 + 17*d - 32. Let r be k(-19). Suppose -45 = -9*n - r*n. What is o in 6*o**2 - 2*o**5 + 4 - 12 + 14*o**n - 2*o**4 + 4*o**2 - 8*o - 4*o**3 = 0?
-2, -1, 1, 2
Factor -2/3*t**2 - 12*t + 80/3.
-2*(t - 2)*(t + 20)/3
Let x(k) be the second derivative of -1/96*k**4 + 1/24*k**3 - 23/160*k**5 - 1/12*k**6 + 19*k + 0*k**2 + 1. Determine y, given that x(y) = 0.
-1, -2/5, 0, 1/4
Let k(b) be the first derivative of -1/9*b**2 - 1/3*b + 1/27*b**3 + 57. Factor k(w).
(w - 3)*(w + 1)/9
Let a(l) = -l**5 - 9*l**4 + 27*l**3 + 27*l**2 - 85*l + 45. Let c(d) = 2*d**3 + 2*d**2 - d + 1. Let n(m) = -a(m) + c(m). Determine z, given that n(z) = 0.
-11, -2, 1, 2
Let j(g) be the second derivative of -g**6/24 + g**5/12 + 5*g**4/12 + 37*g**2 + 4*g + 1. Let u(h) be the first derivative of j(h). Let u(z) = 0. Calculate z.
-1, 0, 2
Suppose l + 0*l + 4*x = -11, -4*l = -5*x - 40. Let m be l*2*(1 - 12/20). Factor -14*n - m*n - n**2 + 20*n.
-n*(n - 2)
Let x(i) be the second derivative of -i**7/504 - 5*i**4/2 + i**2/2 - 13*i. Let u(q) be the third derivative of x(q). Factor u(a).
-5*a**2
Let g(f) = -1762*f + 17623. Let o be g(10). Factor 2/3*n**o - 2/9*n**4 + 0 + 0*n**2 - 8/9*n.
-2*n*(n - 2)**2*(n + 1)/9
Let z be ((-8704)/(-1020))/(10/15). Let w(t) = 3*t - 1. Let k be w(1). Factor -z - 2/5*c**3 + 12/5*c**k + 0*c.
-2*(c - 4)**2*(c + 2)/5
Solve -1/8*f**5 - f**3 + 0*f + 7/8*f**4 + 0 - 2*f**2 = 0 for f.
-1, 0, 4
Factor -81225*o - 1/3*o**3 - 285*o**2 - 7716375.
-(o + 285)**3/3
Let b be (-35)/3*(42/(-6) - -10). Let a be (28/6)/(b/(-21)). Find z, given that -4/5*z**2 + 8/5 + a*z = 0.
-1/2, 4
Let p(g) be the third derivative of 0 + 106*g**2 + 1/280*g**7 + 0*g + 0*g**5 + 1/448*g**8 + 0*g**4 - 3/40*g**6 + 0*g**3. Let p(z) = 0. Calculate z.
-4, 0, 3
Let m(o) = -2*o - 1. Let r(d) be the third derivative of d**5/20 - d**4/2 + 5*d**3 - 2*d**2 + 3. Let t(p) = -3*m(p) - r(p). Determine f, given that t(f) = 0.
3
Let w(v) = 2*v**5 - 6*v**4 - 40*v**3 + 39*v**2 - 19*v. Let a(n) = n**5 - 39*n**3 + 40*n**2 - 18*n. Let h(s) = 3*a(s) - 2*w(s). Factor h(b).
-b*(b - 8)*(b - 2)*(b - 1)**2
Let n = -510 - -512. Factor -8*w - 127*w**2 + 63*w**n + 4 + 68*w**2.
4*(w - 1)**2
Suppose 5*y - 88 = 4*w + 27, -5*w = 4*y - 51. Suppose 2*h - 4*u = -u + y, 4*u = -h - 7. Find t, given that -2*t**4 + 3 - 1 + 2*t**3 - 1 + 6*t**2 - h - 2*t = 0.
-1, 1, 2
Let m = 2073 + -2070. Let u(c) be the first derivative of 0*c + 0*c**2 - 8/3*c**m + 4/5*c**5 - c**4 + 27. Suppose u(r) = 0. Calculate r.
-1, 0, 2
Suppose 2*d - 4*l = -5*l - 36, 2*d = -4*l - 36. Let s be (-10)/(-42)*(5184/(-80))/d. Let -4/7*p**2 + 0*p**4 + 0*p + 0 - 2/7*p**5 + s*p**3 = 0. What is p?
-2, 0, 1
Let q(v) be the first derivative of -16/5*v - 89 + 32/15*v**3 - 1/5*v**2 - 1/15*v**6 + 1/5*v**4 - 16/25*v**5. Find d, given that q(d) = 0.
-8, -1, 1
Let j(r) be the first derivative of 0*r**3 + 21/2*r**2 + 1/6*r**4 + 1/15*r**5 + 0*r - 5. Let v(b) be the second derivative of j(b). Factor v(c).
4*c*(c + 1)
Suppose 3971*t - 3950*t = 42. Find f such that -4/15*f - 2/15*f**3 + 0 + 2/5*f**t = 0.
0, 1, 2
Find f, given that 105*f + 0*f**4 - 479336*f**2 + 90 - 4*f**3 + 479331*f**2 - 5*f**4 - 21*f**3 = 0.
-3, -1, 2
Let s(k) be the second derivative of -5*k**4/18 - 388*k**3/9 + 52*k**2 + k + 1230. Solve s(p) = 0 for p.
-78, 2/5
Let c(w) = -59*w**3 + 3357*w**2 + 6571*w + 3323. Let s(d) = 19*d**3 - 1127*d**2 - 2191*d - 1108. Let l(b) = -3*c(b) - 8*s(b). Determine n, given that l(n) = 0.
-1, 221/5
Let n be (1/2)/(-5 + 210/40). Let f be n/(-5) - (-27 + 26). Find i such that -f*i**2 + 6/5 + 3/5*i = 0.
-1, 2
Let c(q) be the first derivative of 2*q**3/3 - 3790*q**2 + 7182050*q + 149. Factor c(t).
2*(t - 1895)**2
Let o(z) be the second derivative of z**4/3 + 142*z**3/3 - 144*z**2 + 1848*z. Factor o(p).
4*(p - 1)*(p + 72)
Let j(i) = 10*i + 23. Let w be j(-2). Factor -6*h**2 + 475*h**3 + 474*h**w - 952*h**3 - 3*h.
-3*h*(h + 1)**2
Let s(w) = w**5 - w**3 + 2*w**2 - 3. Let x(y) = 75*y**5 + 1080*y**4 - 1947*y**3 + 1056*y**2 - 180*y + 18. Let d(p) = 6*s(p) + x(p). Find i such that d(i) = 0.
-15, 0, 1/3, 2/3
Let l(k) be the first derivative of -5*k**4/12 - 100*k**3/9 + 115*k**2/6 + 70*k - 457. Factor l(t).
-5*(t - 2)*(t + 1)*(t + 21)/3
Let g be ((-18)/(-999))/((-133)/21). Let f = 1384/7733 - g. Factor f*u**4 + 2/11*u**5 - 6/11*u**3 - 4/11*u - 10/11*u**2 + 0.
2*u*(u - 2)*(u + 1)**3/11
Let u = 12334/16557 - 432/5519. Solve 0 + 4*m - 8/3*m**3 - u*m**4 - 2/3*m**2 = 0.
-3, -2, 0, 1
Suppose 0 = 33*h + 1055 - 164. Let q be h/(-5) - 2/5. Suppose 7/2*n**q + 0 - 11/2*n**3 + 2*n - 6*n**4 + 6*n**2 = 0. What is n?
-1, -2/7, 0, 1, 2
Let q(u) be the second derivative of 2*u**7/21 + 8*u**6/5 + 52*u**5/5 + 34*u**4 + 182*u**3/3 + 60*u**2 + 7243*u. Determine a so that q(a) = 0.
-5, -3, -2, -1
Let d(w) be the first derivative of -2/27*w**3 - 132 - 1/18*w**4 + 2/9*w + 1/9*w**2. Factor d(o).
-2*(o - 1)*(o + 1)**2/9
Suppose -7*x + 2*x = -4*y + 131, 2*y = 5*x + 73. Solve -5*d**2 + y*d - 54*d + 11 + 19 = 0.
-6, 1
Let z(f) be the first derivative of -52/5*f**3 + 120*f + 4/25*f**5 + 55 + 3/5*f**4 - 46*f**2. What is j in z(j) = 0?
-5, 1, 6
Suppose 5243 = -11*m + 5122. Let h be m*(183/(-33) + 5). Factor -h*s + 10/3 + 2*s**2 + 2/3*s**3.
2*(s - 1)**2*(s + 5)/3
What is y in 4*y**2 - 1472*y + 675 + 431 - 422 + 784 = 0?
1, 367
Let q = 72299 - 72299. Factor 0*p**2 + 3/2*p**3 + 0 + 1/2*p**4 + q*p.
p**3*(p + 3)/2
Let v(k) be the first derivative of -1085/3*k**3 - 103*k**5 + 0*k + 2055/4*k**4 + 35/6*k**6 - 245*k**2 - 55. Suppose v(n) = 0. Calculate n.
-2/7, 0, 1, 7
Let t = 151 - 147. Factor 4*j**5 + 16*j**2 + 36*j**t + 4*j - 20*j**4 - j**3 + 25*j**3.
4*j*(j + 1)**4
Let w be 0 - 1*4/(-2). Let m = -42 - -50. Solve 7*g**4 + 7*g**3 - 6*g - m*g**w - 3*g**4 + 3*g**3 = 0.
-3, -1/2, 0, 1
Factor -2209/4*b - 141*b**2 + 0 - 9*b**3.
-b*(6*b + 47)**2/4
Suppose 16*p + 4*f = 14*p + 26, -3*p + 44 = f. Let d(q) = 2*q**2 - 3*q - 4. Let m be d(3). Factor m*z**2 + p*z + 3*z**2 + 13*z - 10 - 12*z**3 - 16*z + 2*z**4.
2*(z - 5)*(z - 1)**2*(z + 1)
Let x(b) be the third derivative of -b**6/80 - b**5/20 + 5*b**4/16 + 3*b**3/2 + 630*b**2. Let x(n) = 0. Calculate n.
-3, -1, 2
Factor 12*n**3 - 9*n**3 - 257*n**2 - 98*n**2 - 1085*n**2.
3*n**2*(n - 480)
Let r be ((-4328)/80 - -5)*(-5)/(-42). Let z = -29/12 - r. Find a, given that 4/7 + 4/7*a**4 + 16/7*a + 16/7*a**3 + z*a**2 = 0.
-1
Let w(p) be the third derivative of p**8/84 + 2*p**7/5 + 12*p**6/5 - 144*p**5/5 - 1540*p**2. Determine y so that w(y) = 0.
-12, 0, 3
Let h(k) be the second derivative of -k**6/30 + k**4/6 - 15*k**2/2 + 8*k - 4. Let b(y) be the first derivative of h(y). Factor b(m).
-4*m*(m - 1)*(m + 1)
Let c = -6 - 117. Let t = -123 - c. Solve -1/4*f**4 + t*f**2 - 1/4*f**3 + 0 + 0*f = 0.
-1, 0
Let r(i) be the first derivative of 221*i**2 - 1156*i + 128 + 1/2*i**4 + 64/3*i**3. Factor r(d).
2*(d - 2)*(d + 17)**2
Let c(m) be the first derivative of 2/3*m**3 - 10 - 1/2*m**4 + 0*m**2 + 0*m. Solve c(v) = 0 for v.
0, 1
Factor 73*w + 61*w**2 - 35*w**2 + 85*w - 1312 - 30*w**2 + 38*w.
-4*(w - 41)*(w - 8)
Let u(y) be the first derivative of -4*y**3/3 + 438*y**2 - 872*y - 2429. Find t such that u(t) = 0.
1, 218
Let z(t) = t**2 - 9*t + 13. Let o = -5 + 1. Let d(g) = 1. Suppose 120 = 5*u - 5*b, -3*b - b - 16 = 0. Let q(f) = o*z(f) + u*d(f). Solve q(x) = 0 for x.
1, 8
Let m(p) be the third derivative of 0 - 23/525*p**7 + 2/15*p**4 - 1/210*p**8 - 30*p - 7/50*p**6 + 0*p**3 - 2/15*p**5 + 3*p**2. Fact