3/3 + 40*n**2 - 3*n - 4. Solve k(t) = 0.
-10, 2/3
Let k = 69 - 68. Let t be 5 - k/(-1) - 4. Factor -q**3 + 1/3*q**t + 0*q + 0 + q**4 - 1/3*q**5.
-q**2*(q - 1)**3/3
Let s = -50 - -52. Solve 50*q + 22*q - q**4 - 2 - 25 + 24*q**3 - s*q**4 - 66*q**2 = 0 for q.
1, 3
Let j = -2/499 + 1507/2495. Solve 0 - 9/5*s**2 + j*s**3 + 0*s = 0.
0, 3
Let p(u) be the second derivative of -7*u**5/130 - 61*u**4/78 + 172*u**3/39 - 44*u**2/13 - 152*u + 1. Solve p(z) = 0.
-11, 2/7, 2
Let c(y) be the first derivative of -15*y**4/4 + 40*y**3/3 - 35*y**2/2 + 10*y + 17. Let c(n) = 0. What is n?
2/3, 1
Let r(s) be the third derivative of 1/15*s**6 + 0*s**3 + 0 - 4/45*s**5 + 0*s**4 + 1/504*s**8 - 3*s**2 + 0*s - 2/105*s**7. Factor r(y).
2*y**2*(y - 2)**3/3
Factor 65 + 34*c + 2*c**2 - 94 - 95 - 104 + 8.
2*(c - 5)*(c + 22)
Let 2*u**2 + u + 0 - 5/4*u**4 - 7/4*u**3 = 0. Calculate u.
-2, -2/5, 0, 1
Suppose -128/3*b**2 + 4/3*b**3 - 4/3*b + 128/3 = 0. What is b?
-1, 1, 32
Suppose 3*c - 25 = 2*f, 2*c - 42 + 22 = 2*f. Factor 4/3*k**4 - 14/3*k**2 - 17/3*k - 2 + 1/3*k**c + 0*k**3.
(k - 2)*(k + 1)**3*(k + 3)/3
Let d = 63/25 + -33/25. Factor d - 8/5*z + 2/5*z**2.
2*(z - 3)*(z - 1)/5
Let v(m) be the first derivative of -50*m**6/21 + 116*m**5/7 - 22*m**4 - 80*m**3/3 + 304*m**2/7 - 128*m/7 + 117. Solve v(q) = 0 for q.
-1, 2/5, 2, 4
Let a(p) be the third derivative of p**7/420 - p**6/40 - p**5/8 - p**4/6 - 149*p**2. Factor a(r).
r*(r - 8)*(r + 1)**2/2
Suppose 0 = v + 2*y - 14, 0*v + 14 = 2*v - 3*y. Factor -107*k**3 - 4*k**4 - v*k**2 + 2*k**4 + 115*k**3 + 4*k.
-2*k*(k - 2)*(k - 1)**2
Factor 453/4*r + 225/4*r**2 + 3/2.
3*(r + 2)*(75*r + 1)/4
Suppose 2*q + 2 = 4*q. Let d = 3 + q. Solve 4*z**2 - 4*z + 7*z**5 - 3*z**5 - 4*z**3 - d*z**4 + 4*z = 0.
-1, 0, 1
Let v be 12/(-28) + 82085/(-140). Let x = -583 - v. Solve -21/4*a**3 + 12*a + x*a**2 + 3 = 0 for a.
-1, -2/7, 2
Let n(v) be the first derivative of -2*v**3/3 - 44*v**2 - 79. Factor n(t).
-2*t*(t + 44)
Let k be 8 + ((-18)/(-12))/((-4)/8). Let o(j) be the second derivative of 7/30*j**k + 11/9*j**3 - 2/3*j**2 - 8/9*j**4 + 0 - 6*j. Let o(g) = 0. Calculate g.
2/7, 1
Suppose 2*y + 10*h - 5*h - 21 = 0, 5*h = -5*y + 30. Suppose y*u - 4 = 2. Factor u*b**4 - 2*b**4 - b**4 + b**3.
-b**3*(b - 1)
Find j, given that 41/6*j + 7/2 - 1/6*j**3 + 19/6*j**2 = 0.
-1, 21
Determine w, given that 3*w**3 + 14/3*w**2 - 2*w**4 + 0*w + 0 - 1/3*w**5 = 0.
-7, -1, 0, 2
Let b(o) = 2*o**4 - 94*o**3 - 152*o**2 - 60*o + 4. Let k(x) = -3*x**4 + 190*x**3 + 303*x**2 + 119*x - 9. Let a(m) = 9*b(m) + 4*k(m). Factor a(j).
2*j*(j - 16)*(j + 1)*(3*j + 2)
Suppose 6*k - 36 = 3*k. Find n such that 2*n + 4*n**5 + 179*n**4 - 191*n**4 - 2*n + k*n**3 - 4*n**2 = 0.
0, 1
Let w(u) = -5*u**3 - 7*u**2 - 6*u. Let l(p) = -5*p**3 - 5*p**2 - 5*p. Let f(o) = 4*l(o) - 5*w(o). Let f(b) = 0. What is b?
-2, -1, 0
Let n = -2915 - -2923. Let v(r) be the first derivative of 0*r**2 - n*r**4 + 108*r - 24*r**3 - 4/5*r**5 + 8. Determine t so that v(t) = 0.
-3, 1
Factor -42 - 22*m**2 - 2*m**3 + 28*m**3 + 31*m**2 - 5*m**3 - 3*m**4 - 57*m.
-3*(m - 7)*(m - 2)*(m + 1)**2
Factor 2/13*h**2 + 198/13 + 40/13*h.
2*(h + 9)*(h + 11)/13
Let g(u) be the third derivative of -u**8/336 + u**7/35 - u**6/15 - u**5/30 + 3*u**4/8 - 2*u**3/3 + 29*u**2. Factor g(b).
-(b - 4)*(b - 1)**3*(b + 1)
Let k(z) = 2*z**2 + 3*z. Let f(y) = -9*y**2 + 58*y + 219. Let h(j) = -5*f(j) - 20*k(j). Find l such that h(l) = 0.
-3, 73
Suppose 2*z - 46 = -24. Factor 3*j**3 + 5*j**2 - 6*j**3 + z*j**4 + 3*j - 2*j**2 - 14*j**4.
-3*j*(j - 1)*(j + 1)**2
Let y(x) be the second derivative of -x**7/350 + 3*x**6/200 - x**5/50 + 7*x**2 - 7*x. Let a(k) be the first derivative of y(k). Factor a(j).
-3*j**2*(j - 2)*(j - 1)/5
Let g(t) be the second derivative of t**6/270 - 2*t**5/5 + 12*t**4 - 13*t - 12. Factor g(b).
b**2*(b - 36)**2/9
Let z(o) be the first derivative of -5*o**3/3 + 90*o**2 + 141. Factor z(y).
-5*y*(y - 36)
Let f = -5477 - -10959/2. Solve 0 + f*k**5 - 3/2*k**4 + 3/2*k**2 + k - 7/2*k**3 = 0 for k.
-1, -2/5, 0, 1
Let x = -74 - -115. Solve 40*y + x*y - 320 + 106*y + 53*y + 5*y**3 - 60*y**2 = 0.
4
Suppose 3*j = -25 + 31. Suppose 0 = j*u + 12*u - 42. Factor -2/21 - 2/21*s**5 + 4/21*s**2 + 4/21*s**u - 2/21*s - 2/21*s**4.
-2*(s - 1)**2*(s + 1)**3/21
Let a = -939 + 939. Determine b, given that 2/3*b - 2/3*b**4 + 2/3*b**2 + a - 2/3*b**3 = 0.
-1, 0, 1
Let q = -21094 - -21094. Suppose 0 - 4/9*s - 2/9*s**4 + q*s**3 + 2/3*s**2 = 0. What is s?
-2, 0, 1
Let w(i) = i**2. Let c be w(3). Let h = c + -5. Let -h*a + 19*a**2 - 20*a**2 + 3*a = 0. Calculate a.
-1, 0
Let p = 87553/5 + -17509. Let -1/5*o**4 + 6/5*o + p*o**3 + 0 - 13/5*o**2 = 0. Calculate o.
0, 1, 6
Let r(c) be the third derivative of -c**8/8400 + c**7/6300 + 17*c**4/24 + 46*c**2. Let d(v) be the second derivative of r(v). Solve d(h) = 0.
0, 1/2
Let o(x) = -9*x**2 + 39*x - 6. Let b(s) = 7*s**2 - 40*s + 5. Let z(i) = 6*b(i) + 5*o(i). Suppose z(c) = 0. What is c?
-15, 0
Suppose 0 = -26*q + 32*q. What is o in 0*o + 0 + 6/7*o**4 + q*o**2 + 3/7*o**3 + 3/7*o**5 = 0?
-1, 0
Factor -18 - 46 + 0*v**2 + 71*v - 3*v**2 - 74 + 2*v**2.
-(v - 69)*(v - 2)
Let q = -1041/8 + 213429/1640. Let y = 1631/615 + q. Factor 2 + 2/3*s**2 + y*s.
2*(s + 1)*(s + 3)/3
Let u be ((-60)/16)/((-3025)/1320). Let r = -3/44 + 35/44. Determine i so that 6/11*i**2 + 16/11*i - u*i**3 - r = 0.
-1, 2/3
Let w(b) = -9*b**3 - 39*b**2 - 42*b - 6. Let l(g) = -17*g**3 - 78*g**2 - 83*g - 11. Let r(m) = 6*l(m) - 11*w(m). Factor r(s).
-3*s*(s + 1)*(s + 12)
Factor 2/3*g**4 - 10/3*g + 4 - 14/3*g**2 + 10/3*g**3.
2*(g - 1)**2*(g + 1)*(g + 6)/3
Let q(l) be the second derivative of -l**9/28728 + l**7/2660 + l**6/1710 - l**3 - 18*l. Let z(b) be the second derivative of q(b). Factor z(g).
-2*g**2*(g - 2)*(g + 1)**2/19
Let b(w) = w**2 + 4*w - 2. Let j be b(9). Let m = j - 82. Factor 2*h - 29*h**2 + 7*h - h + m*h**2.
4*h*(h + 2)
Let k(o) = 17*o**2 - 148*o - 109. Let c(z) = -42*z**2 + 370*z + 272. Let b(y) = 5*c(y) + 12*k(y). Factor b(p).
-2*(p - 13)*(3*p + 2)
Solve 90*v**2 + 8/5 - 24*v = 0.
2/15
Find u such that 746/17*u**3 - 13380/17*u**2 - 10/17*u**4 - 19912/17*u - 5776/17 = 0.
-1, -2/5, 38
Let v = -82 + -39. Let o = -119 - v. Determine y, given that -1/4*y**o - 1 - y = 0.
-2
Suppose 2*i = 6*i + 2*x - 14, 9*i - 34 = -2*x. Factor 0*y + 0 + 1/4*y**5 - 1/2*y**i + 0*y**2 + 0*y**3.
y**4*(y - 2)/4
Let p(c) = -151*c - 300. Let t be p(-2). Let k(o) be the first derivative of -3*o + 1 + 15/4*o**t + 3/2*o**3. Determine r so that k(r) = 0.
-2, 1/3
Suppose 455*o - 2266005*o**2 - 5*o**5 + 1 + 114 + 2266675*o**2 + 95*o**4 + 430*o**3 = 0. Calculate o.
-1, 23
Let d be (72/40)/(2/10). Solve -5*a**2 + d*a**2 - a**2 - 6*a = 0.
0, 2
Let g(d) be the second derivative of -20*d**4/3 + 20*d**3 - 45*d**2/2 + 4*d + 2. Solve g(t) = 0.
3/4
Let z = -4 + -8. Let r(j) = 28*j**2 - 4*j + 16. Let v be r(z). Factor -98*d**5 - 5120*d - 254*d**3 - 386*d**3 - 2560*d**2 - v + 94*d**5 - 80*d**4.
-4*(d + 4)**5
Suppose 100 = 2*b + 98. Let s be b*((2 - -2) + -4)/(-1). Find c such that 0*c**2 - 2/5*c**3 + s + 2/5*c = 0.
-1, 0, 1
Factor 8*p + 56 + 2/7*p**2.
2*(p + 14)**2/7
Let r(m) be the second derivative of -m**8/210 - m**7/420 + 7*m**3/6 - 9*m. Let d(p) be the second derivative of r(p). Solve d(v) = 0.
-1/4, 0
Let z(u) be the first derivative of u**7/14 - u**6/10 - 3*u**5/10 + u**4/2 + u**3/2 - 3*u**2/2 - u + 16. Let c(i) be the first derivative of z(i). Factor c(o).
3*(o - 1)**3*(o + 1)**2
Let b(h) be the first derivative of -h**3 + 36*h**2 + 156*h + 67. Solve b(w) = 0 for w.
-2, 26
Let y(w) be the third derivative of w**7/42 - w**6/6 - w**5/12 + 5*w**4/6 - 8*w**2 + 1. Factor y(k).
5*k*(k - 4)*(k - 1)*(k + 1)
Let r be (-2)/(-1) - (4 + -2). Suppose -5*d = 10, r*v + 9 = v + d. Let -2*h + v*h**3 - 72*h**4 + 86*h**4 - 2*h**2 - 3*h**2 = 0. What is h?
-1, -2/7, 0, 1/2
Let c(i) be the third derivative of -i**5/120 + i**4/12 - i**3/4 - 273*i**2. Find f such that c(f) = 0.
1, 3
Let f(l) be the third derivative of l**5/15 - 7*l**4 + 294*l**3 - 42*l**2. Suppose f(k) = 0. Calculate k.
21
Let a = -2983/3 - -995. What is r in 8/9 - a*r - 2/9*r**2 = 0?
-4, 1
Let t(p) be the third derivative of 20*p**2 + 0*p + 1/60*p**5 + 1/3*p**3 + 0 + 1/8*p**4. Factor t(s).
(s + 1)*(s + 2)
Let p = -69266/13 + 5332. Suppose -2/13*y**2 - p - 2