e 2*d - 2 = 5*y - 2, 4*y = d. Let k(c) be the first derivative of 2/65*c**5 + d*c - 2/13*c**4 + 2/13*c**3 - 9 + 0*c**2. Find l, given that k(l) = 0.
0, 1, 3
Let m(d) be the first derivative of d**6/135 + d**5/90 - d**4/54 - d**3/27 - 38*d + 45. Let t(h) be the first derivative of m(h). Factor t(b).
2*b*(b - 1)*(b + 1)**2/9
Let s be (-6 + 5 - -6) + 1499. Factor -63*w**3 + 12*w**3 - 1508*w + 40*w**2 + s*w.
-w*(3*w - 2)*(17*w - 2)
Let t(v) = -v**3 + 12*v**2 - 22*v - 9. Let o be t(5). Suppose -o = -31*r + 3*r. Factor -9/2 + 3/2*k**3 + 21/2*k - 15/2*k**r.
3*(k - 3)*(k - 1)**2/2
Suppose 6*d = 14 + 4. Find f such that 39*f**d - 453 - 721 - 354*f**2 - 1364*f - f**4 + 2*f**3 + 206 = 0.
-2, -1, 22
Find g, given that 0*g**5 + 3*g**2 + 0*g**2 - 2720*g**3 - 2*g**5 + 17*g**2 - 17*g**4 + 2752*g**3 = 0.
-10, -1/2, 0, 2
Determine h so that 61440*h + 234226 + 60686 - 160*h**3 + 3*h**4 + 1664*h**2 - h**4 = 0.
-8, 48
Let t(x) be the second derivative of -x**4/54 - 20*x**3/3 + 181*x**2/9 - 24*x - 8. Factor t(d).
-2*(d - 1)*(d + 181)/9
Suppose z - 4*z = z. Determine p so that -p**2 + z - 60*p + 30*p - 1 + 28*p = 0.
-1
Let b be 5220/12 + 2*-3. Let -n**4 + 72*n + b*n**2 - 268*n**2 - 18*n**3 - 218*n**2 + 4*n**4 = 0. Calculate n.
-3, 0, 1, 8
Let q be (4456/(-32))/(3/(-36)). Solve -845 - 48*c**2 + q + 84*c + 4*c**3 - 866 = 0 for c.
1, 10
Let a(b) = -100 + 18*b - 5*b**2 + 19*b**2 - b**3 + 57. Let o be a(15). Determine t, given that -3*t**3 + 0*t + 0 - 2*t**4 - 1/3*t**5 + 0*t**o = 0.
-3, 0
Let h be -4 + (-4 - (-144)/9) + -5. Let u(d) be the first derivative of 0*d + 25/2*d**2 + 25 + 5/3*d**h. Factor u(i).
5*i*(i + 5)
Let f(d) be the second derivative of -3/4*d**4 + 0*d**2 + 1/20*d**5 - 1/720*d**6 - 28*d + 0 - 9/2*d**3. Let l(y) be the second derivative of f(y). Factor l(w).
-(w - 6)**2/2
Suppose u + 154 = 3*y, -4*y - 4*u + u + 188 = 0. Let i be (-1 + 46/y)/(114/(-9690)). Factor i*x - 4 - 6/5*x**2.
-2*(x - 5)*(3*x - 2)/5
Let s = 47 - 31. Suppose -4*a + s = y + 3, -5 = -y. Find d, given that -3*d**a + 0*d**2 - 6*d**2 + 13*d + 3 - 7*d = 0.
-1/3, 1
Let k(c) = -15*c**3 - c**2 - 3*c - 1. Let a be k(-1). Find i, given that 8*i - 44 + a*i + 4*i**2 + 14*i + 2*i = 0.
-11, 1
Let i = -528 - -530. Let y be 12 + 392/(-40) - i*1. Find t, given that -16/5*t + 5*t**2 + 4/5 - 19/5*t**3 - y*t**5 + 7/5*t**4 = 0.
1, 2
Let u(q) be the second derivative of -3*q**5/20 + 23*q**4/4 - 84*q**3 + 594*q**2 + 22*q - 99. Factor u(a).
-3*(a - 11)*(a - 6)**2
Suppose 0 = -39*g + 43*g + 456. Let k = -66 - g. Determine i so that -6*i + 88*i**2 - k*i**2 - 2*i**3 - 48*i**2 = 0.
-3, -1, 0
Let v be 3/2 - (-1617)/(-98). Let m be ((-36)/(-54))/(v/18*-2). Let -2/5*r**5 + 4/5*r**2 + 4/5*r**3 - m*r**4 - 2/5 - 2/5*r = 0. Calculate r.
-1, 1
Let x = 638 - 621. Let -t**3 + 22*t**4 + x*t**4 - 6*t**4 - 38*t**2 + t + 2 + 3*t**4 = 0. What is t?
-1, -2/9, 1/4, 1
Factor -277350 - 2/3*h**2 + 860*h.
-2*(h - 645)**2/3
Suppose 24*a + 38*a - 89*a = 0. Let t(c) be the second derivative of 1/18*c**4 + c**2 + a - 4/9*c**3 - 6*c. Determine p so that t(p) = 0.
1, 3
Factor 197/6*s + 1/6*s**2 + 98/3.
(s + 1)*(s + 196)/6
Suppose -5*c + 5*t = -8720, -14*t - 5*t = -17*t + 32. Let -3888/7 - 144*u**3 - c*u - 27/7*u**4 - 10056/7*u**2 = 0. Calculate u.
-18, -2/3
Let s(u) = u**2 + 1641*u + 678955. Let q(n) = 2*n**2 + 3283*n + 1357913. Let a(c) = -7*q(c) + 13*s(c). Find f such that a(f) = 0.
-824
Let c(b) be the third derivative of 3*b**7/35 + 7*b**6/120 - 11*b**5/60 + 1495*b**2. Factor c(k).
k**2*(k + 1)*(18*k - 11)
Let l(x) be the third derivative of x**7/945 - x**6/90 + x**5/270 + 2*x**4/9 + 16*x**3/27 - 8087*x**2. Suppose l(z) = 0. What is z?
-1, 4
Suppose -17*r + 81 = 13. Let h(z) = -z**5 + z**3 + 2*z**2 + 2*z. Let f(w) = w**5 - w**4 - w**3 - w. Let t(d) = r*f(d) + 2*h(d). Let t(a) = 0. What is a?
-1, 0, 1, 2
Let x be -7 + (-200)/35 + (14 - 1). Factor 38/7*f**3 - 38/7*f + 0 - 2/7*f**2 + x*f**4.
2*f*(f - 1)*(f + 1)*(f + 19)/7
Let y(g) be the second derivative of 1/3*g**4 - 1/5*g**5 + 0 - 2*g**2 + 2/3*g**3 - 4*g. Factor y(o).
-4*(o - 1)**2*(o + 1)
Let j = -47164 + 330184/7. Suppose -16*k - 12/7*k**2 - j = 0. Calculate k.
-9, -1/3
Let p(s) be the second derivative of s**3/6 - 3*s**2/2 - 29*s. Let j be p(7). Solve -2*d**2 + j*d**2 + 8*d + 9 + 7 - d**2 = 0 for d.
-4
Let u(o) be the first derivative of o**5/15 - 11*o**4/12 + 10*o**3/9 + 675. Suppose u(d) = 0. Calculate d.
0, 1, 10
Let a(j) be the second derivative of 7*j**6/30 - 13*j**5/4 - 53*j**4/2 + 1616*j**3/3 - 448*j**2 - 271*j. Let a(l) = 0. Calculate l.
-7, 2/7, 8
Suppose 36382894/3 - 2/3*i**3 + 526*i**2 - 138338*i = 0. Calculate i.
263
Suppose c = -4*r + 420, 5*c = -3*r + 7*r - 396. Suppose 2*h + 2*d = 4*h - 46, -4*h + r = 2*d. Factor -49*z**4 + z**2 + 23*z**4 + h*z**4.
-z**2*(z - 1)*(z + 1)
Let n = -262 + 538. Let m = 279 - n. Factor -1/2 - 9/4*q - m*q**2 - 5/4*q**3.
-(q + 1)**2*(5*q + 2)/4
Let u = 60 - 52. Suppose -86 = -u*v + 58. Solve -3 + 0*r**2 - 13*r - r**2 - r**3 + v*r = 0 for r.
-3, 1
Let h = 5374 - 7596. Let r = 42220/19 + h. Factor -8/19*o**3 - r*o**4 + 0*o + 0 - 8/19*o**2.
-2*o**2*(o + 2)**2/19
Let v(t) = 35*t**2 + 167*t - 52. Let c(q) be the third derivative of q**4/24 - q**3/6 - q**2 + 13*q. Let f(r) = 2*c(r) - v(r). Factor f(d).
-5*(d + 5)*(7*d - 2)
Let c(u) = -2*u**2 - 13*u - 2*u**3 + 3*u - 6 - 4*u**2. Let q(p) = p**2 - 1. Let k = -511 + 513. Let w(j) = k*c(j) - 4*q(j). Factor w(a).
-4*(a + 1)**2*(a + 2)
Let j(o) be the third derivative of -o**5/60 + 8*o**4/3 + 67*o**3/2 + 518*o**2. Factor j(h).
-(h - 67)*(h + 3)
Let j = -223045 - -223048. Determine t, given that 34/13*t**2 - 8/13*t**4 + 24/13*t - 8/13 - 6/13*t**j = 0.
-2, -1, 1/4, 2
Let z = -1150 - -1155. Let h(j) = 3*j**2 + 20*j + 6. Let u(p) = p**2 - 16*p - 12 - 8*p**2 - 24*p. Let y(x) = z*h(x) + 3*u(x). Solve y(f) = 0.
-3, -1/3
Find d such that -1/3*d**5 - 544/9*d**2 + 0 - 703/9*d**3 + 256/9*d + 94/9*d**4 = 0.
-1, 0, 1/3, 16
Let o = 449 - 118. Solve 9 + 325*y - 2*y**2 - o*y - 1 = 0 for y.
-4, 1
Let y(s) be the second derivative of 5*s**4/24 - 85*s**3 - 1025*s**2/4 + 1167*s. Suppose y(x) = 0. Calculate x.
-1, 205
Suppose 11777 = -22*t + 11865. Let v(b) be the first derivative of 1/11*b**t + 0*b + 29 - 1/33*b**3 + 0*b**2 - 3/55*b**5. Let v(z) = 0. What is z?
0, 1/3, 1
Let v(w) be the second derivative of -8*w + 0 + 1/51*w**4 - 2/255*w**6 + 0*w**2 - 1/51*w**3 + 1/357*w**7 + 0*w**5. What is q in v(q) = 0?
-1, 0, 1
Let w(g) be the third derivative of 5/48*g**4 + 0 - 1/480*g**6 + 3/80*g**5 + 0*g**3 + 0*g - 213*g**2. Suppose w(x) = 0. Calculate x.
-1, 0, 10
Let g be (-3)/2 - (186/12 + -17). Let q be (1 + (-2 - -1))/2. Solve -10/21*s**4 + q + 8/21*s**3 + g*s - 2/7*s**5 + 8/21*s**2 = 0.
-2, -2/3, 0, 1
Suppose -328*z = -1461 + 149. Let p(a) be the third derivative of 0 + 0*a + 0*a**3 + 3/8*a**4 - z*a**2 + 1/10*a**5. Factor p(q).
3*q*(2*q + 3)
Let b(p) = p**2 - 22*p - 72. Let m be b(26). Suppose -14*r - 54 = -m*r. Solve 0 + 0*f**r + 2/9*f**2 + 0*f - 2/9*f**4 = 0 for f.
-1, 0, 1
Determine i, given that 1067 + 234*i + 613 + 3*i**2 - 4*i**2 + 4*i**2 = 0.
-70, -8
Let a(k) = 2*k**5 - k**4 - k**3 + 2*k**2 + k - 1. Let z(v) = 15*v**5 + 375*v**4 - 390*v**3 + 14*v**2 + 7*v - 7. Let n(o) = 14*a(o) - 2*z(o). Factor n(p).
-2*p**3*(p - 1)*(p + 383)
Solve -84*h**3 + 19440*h**2 - 88*h**3 + 17006112000 - 99*h**3 + 275*h**3 + 31492800*h = 0.
-1620
Let w(i) be the first derivative of i**4 - 3/10*i**5 - 12 - 7*i**2 + 0*i - 4/3*i**3. Let t(v) be the second derivative of w(v). Solve t(z) = 0 for z.
2/3
Let z = 1847682/5 + -369536. Factor z*k**4 + 18/5*k**3 - 42/5*k**2 + 0 + 22/5*k.
2*k*(k - 1)**2*(k + 11)/5
Let q(k) be the second derivative of k**6/360 + 31*k**5/120 - 59*k**3/6 + 90*k. Let a(y) be the second derivative of q(y). Determine z, given that a(z) = 0.
-31, 0
Let r(u) = -50*u**3 + 110*u**2 + 334*u + 167. Let p(g) = 25*g**3 - 55*g**2 - 168*g - 84. Let b(i) = -7*p(i) - 4*r(i). Solve b(n) = 0 for n.
-1, -4/5, 4
Let p = 492 + -486. Factor -6*x**3 + p*x**3 - 5*x**4 - 30*x**3 + 40*x + 14*x**2 + 6*x**2 + 5*x**5.
5*x*(x - 2)**2*(x + 1)*(x + 2)
Let 2/7*o**3 + 50/7*o**2 + 174/7*o + 18 = 0. What is o?
-21, -3, -1
Let j(t) = -2*t**4 + 2*t**3 - t**2 - 2*t + 1. Let b(g) = -14*g**4 - 4*g**3 - 4*g**2 + 4*g + 6. Let h(w) = b(w) - 6*j(w). Solve h(k) = 0 fo