*c + 15*c**h = 0.
-1, 1/5
Let y(u) be the first derivative of 11*u**5/4 + 5*u**4/6 - 74*u + 36. Let i(z) be the first derivative of y(z). What is b in i(b) = 0?
-2/11, 0
Solve -4*d**4 + 6221*d**3 - 6517*d**3 - 15422*d**2 + 3*d**4 - 6482*d**2 = 0 for d.
-148, 0
Let o be 88/1540*5/24. Let g(f) be the second derivative of -5/42*f**3 + 0 + o*f**4 - 25*f + 3/7*f**2. Factor g(c).
(c - 3)*(c - 2)/7
Let k be (27*104/(-18252))/((-4)/39). Solve -39/8*f**3 - 3/8*f**5 + 0 + 9/4*f**4 + 9/2*f**2 - k*f = 0.
0, 1, 2
Suppose 6*j + 234 = -456. Let i be (12/(-30))/(j/25 - -4). Factor -i*t**2 - 16/3*t - 32/3.
-2*(t + 4)**2/3
Let l(r) be the first derivative of 69 - 1/2*r**2 + 1/9*r**3 + 2/3*r. Factor l(c).
(c - 2)*(c - 1)/3
Suppose -16*c + 25*c + 4*y = 69, -5*c + 5*y - 5 = 0. Determine d so that -d**2 - 6*d**3 + 0 + 0*d - 21/4*d**4 + 49/4*d**c = 0.
-2/7, 0, 1
Factor -21*h - 5*h**2 - 1/3*h**3 - 49/3.
-(h + 1)*(h + 7)**2/3
Suppose 50*d = 23*d + 135. What is n in -9*n**5 - 58*n - 30 + 4*n**2 + 21*n**3 + 4*n**d - 2*n**5 + 5*n**5 + 26*n**4 + 39*n**3 = 0?
-1, 1, 15
Let w be (2/3)/(2/9). Let x = 979/4419 - -1/1473. Let 0 - 2/9*l**5 + 2/9*l**4 + 2/9*l**w + 0*l - x*l**2 = 0. Calculate l.
-1, 0, 1
Let y(r) = -4*r**2 + 446*r + 14. Let w(x) = 17*x**2 - 1784*x - 63. Let q(m) = -2*w(m) - 9*y(m). Find f, given that q(f) = 0.
0, 223
Factor 38/15*y**2 + 2/15*y**3 + 0 + 68/15*y.
2*y*(y + 2)*(y + 17)/15
Let a(m) be the third derivative of m**6/24 + 251*m**5/12 - 635*m**4/12 - 420*m**3 + 3*m**2 - 696. Factor a(g).
5*(g - 2)*(g + 1)*(g + 252)
Let m be 14/21 + 33/(-225)*7. Let p = m + 143/50. Solve -5/2*c + p*c**3 - 1/2 + 3*c**4 - 5/2*c**2 = 0 for c.
-1, -1/2, -1/3, 1
Suppose -4*t = -5*q + 11 - 28, t - 5*q = -22. Let h(c) be the first derivative of -3/28*c**4 + 0*c + 0*c**3 + 3/35*c**5 + 0*c**2 + t. Factor h(d).
3*d**3*(d - 1)/7
Suppose 80 - 2 = 26*c. Find b, given that -2*b**2 - 130 - 57*b - 18*b - c*b**2 + 0*b**2 = 0.
-13, -2
Let x(d) be the third derivative of d**8/1680 - 2*d**7/175 + 23*d**6/600 + 3*d**5/25 - 3*d**2 + 40. Factor x(u).
u**2*(u - 9)*(u - 4)*(u + 1)/5
Let o(r) be the first derivative of 8*r + 110/3*r**3 + 38 + 103/4*r**4 + 26*r**2 + 7/6*r**6 + 44/5*r**5. Determine z, given that o(z) = 0.
-2, -1, -2/7
Let p be (-5208)/(-6138) + (-8)/12. Factor -4/11 + 2/11*m**2 + p*m.
2*(m - 1)*(m + 2)/11
Let b(y) be the third derivative of -y**8/24 - 8969*y**7/105 - 1277157*y**6/20 - 109215071*y**5/6 - 77854483*y**4/6 + 5420*y**2. Factor b(m).
-2*m*(m + 427)**3*(7*m + 2)
Let a be 704/2288 - (-29696)/156. Solve -4/3*p**3 + 92/3*p**2 - a*p + 484/3 = 0 for p.
1, 11
Let v = 1/7648 - -3815/68832. Let f(n) be the second derivative of 0 + 1/5*n**5 - 2/3*n**3 - 23*n - 1/45*n**6 + v*n**4 + 0*n**2. Factor f(r).
-2*r*(r - 6)*(r - 1)*(r + 1)/3
Let a(k) = 0*k + 13*k**2 - 9*k - 3*k + 2*k. Let x(h) = -24*h**2 + 19*h. Let v(f) = 11*a(f) + 6*x(f). Suppose v(n) = 0. What is n?
0, 4
Let q be 7400/3552*24/10. What is i in 0*i - 27/4*i**q + 8/3*i**3 + 0 - 15/4*i**4 - 1/3*i**2 = 0?
-1, 0, 2/9
Suppose -266*z - 2392 = -1462*z. Suppose -3/4*o**z + 0 + 0*o = 0. What is o?
0
Let d = -2052 - -2055. Let y(s) be the first derivative of 1/30*s**4 - 4/15*s**d - 35 - 8/15*s + 3/5*s**2. Find x such that y(x) = 0.
1, 4
Let q(i) = -5*i**2 + 96*i + 238. Let a(c) = -12*c**2 + 191*c + 495. Let r(m) = 2*a(m) - 5*q(m). Solve r(u) = 0 for u.
-2, 100
Factor -52/5*t + 61/10*t**2 - 4/5*t**3 - 24/5.
-(t - 4)**2*(8*t + 3)/10
Let s be (154/(-1463))/(46/(-874)). Let 2/7*c**s + 4/21 - 2/3*c = 0. Calculate c.
1/3, 2
Solve 192060*b + 75674 + 482*b**2 + 7*b**3 + 294374 - 2*b**3 + 6312 + 1468*b**2 = 0 for b.
-194, -2
Suppose 29*u - 14 + 14 = 0. Suppose u = -3*r + 2*d + 16, 2*r + 65 - 44 = -5*d. Find c such that 0 - 1/2*c**r + 5/2*c = 0.
0, 5
Find m such that 974 + 365 + 188 - 5*m**2 + 50*m - 207 = 0.
-12, 22
Let t = 5 - 0. Let g be (-3)/5 - (-2)/((-12)/18 + 4). Let -4/7*m**4 + 0*m**2 - 2/7*m**t + g - 2/7*m**3 + 0*m = 0. Calculate m.
-1, 0
Let s(n) be the third derivative of -18 - 53/96*n**4 + 0*n - 7/60*n**5 - 2*n**2 - 13/12*n**3 - 1/480*n**6. Factor s(z).
-(z + 1)**2*(z + 26)/4
Suppose 0 = -120*t + 135*t - 45. What is b in 3/2*b + 3 - 3/2*b**3 - t*b**2 = 0?
-2, -1, 1
Let j(l) be the first derivative of -2/3*l**6 + 40/3*l**3 + 24/5*l**5 - 12*l**4 - 6*l**2 + 0*l - 75. Factor j(c).
-4*c*(c - 3)*(c - 1)**3
Determine y, given that -90601/5 - 89398/5*y**2 + 120*y**3 - 1/5*y**4 - 36120*y = 0.
-1, 301
Let n(v) be the first derivative of 4*v**5/5 - 7*v**4 - 496*v**3/3 - 640*v**2 + 9361. Factor n(h).
4*h*(h - 16)*(h + 4)*(h + 5)
Let h(n) be the second derivative of 1/90*n**5 - 11/3*n**2 - 115*n + 11/18*n**4 - 1/27*n**3 + 0. Let h(l) = 0. What is l?
-33, -1, 1
Let r(w) be the second derivative of w**4/8 - 51*w**3/4 + 75*w**2/2 - 166*w - 2. Find z such that r(z) = 0.
1, 50
Solve 10/13*q**2 + 16/13*q + 8/13 + 2/13*q**3 = 0.
-2, -1
Let r(c) be the third derivative of c**7/210 + 67*c**6/12 + 113557*c**5/60 + 37185*c**4/2 + 73926*c**3 + 91*c**2 - c + 2. Suppose r(k) = 0. What is k?
-333, -2
Let o(i) be the third derivative of i**6/24 - 19*i**5/12 + 70*i**4/3 - 160*i**3 - 2525*i**2. Factor o(x).
5*(x - 8)**2*(x - 3)
Factor 253 - 253*p - 126*p**2 + 317 - 3*p**3 - 231*p - 58*p + 101*p.
-3*(p - 1)*(p + 5)*(p + 38)
Let a be (1 + 0)/1 + 20. Let k = -21 + a. Let 6*w**2 - 6 + k*w**2 + 8 + 9*w + w**2 = 0. What is w?
-1, -2/7
Let p(z) = 6*z**2 + 9*z - 20. Let x(d) = -d - 1. Let o be x(-5). Let h be p(o). What is k in -h + k**2 - k**4 + 112 = 0?
-1, 0, 1
Let d(i) be the first derivative of 14/3*i**2 + 1/12*i**4 + 110 + 29/9*i**3 + 0*i. Factor d(x).
x*(x + 1)*(x + 28)/3
Let d be 2 + 0/(3 - -5). Factor -2*o**d + 5*o**2 - 36 - 21*o + 2*o**2 - 8*o**2.
-3*(o + 3)*(o + 4)
Let x(o) = 9*o + 134. Let m be x(-6). Determine c, given that 4*c**4 + 23*c**4 + m*c**2 - 22*c**4 + 40*c**3 = 0.
-4, 0
Let t be (7/(-9))/(3976/(-6816)). Let 0 - 8*g**3 - t*g + 2/3*g**4 + 8/3*g**5 - 22/3*g**2 = 0. Calculate g.
-1, -1/4, 0, 2
Let y be 1/(-2 + 3 + 768/(-771)). Let f = y + -1283/5. Let 2/5*t**3 + f*t**2 - 2/5*t**4 - 2/5*t**5 + 0 + 0*t = 0. Calculate t.
-1, 0, 1
Let t be 10/(-4)*(41 - 45). Factor 72 - 2*q - q + 19*q - t*q - 3*q**2.
-3*(q - 6)*(q + 4)
Let j(w) be the first derivative of w**3 - 795*w**2 - 1593*w + 2491. Factor j(p).
3*(p - 531)*(p + 1)
Let v(o) be the first derivative of o**4/4 - 17*o**3/3 + 71*o**2/2 - 55*o + 7194. Let v(x) = 0. What is x?
1, 5, 11
Suppose 14*u - 16*u - 1772 = 4*j, -3*u - 2659 = 5*j. Let k = -886 - u. Determine m so that -3*m**4 + 3/5*m**5 + 9/5*m**3 + 27/5*m**k + 0*m + 0 = 0.
-1, 0, 3
Suppose 7*i - 12*i = 0. Suppose 3*b - 6*b - 7*b = i. What is v in 0 + v**2 + b*v - 11/2*v**3 = 0?
0, 2/11
What is d in -2/5*d**2 + 1964/5 + 1962/5*d = 0?
-1, 982
Let y(i) be the first derivative of -1/51*i**6 + 0*i + 0*i**2 + 59 - 3/34*i**4 + 20/51*i**3 - 12/85*i**5. Determine f so that y(f) = 0.
-5, -2, 0, 1
Let f(w) be the second derivative of 167*w**6/90 - 11*w**5/4 - 28*w**4/3 - 2*w**3/9 - 3860*w. Suppose f(n) = 0. What is n?
-1, -2/167, 0, 2
Let b(a) = -2*a**2 + 3591*a + 18007. Let u be b(-5). What is r in 3/2*r + 1 + 1/2*r**u = 0?
-2, -1
Suppose 6*y + 106 = 130. Let 84*q**5 - 64*q**5 - 8*q**3 + 2*q**2 + 8*q**y - 12*q**3 - 10*q**2 = 0. Calculate q.
-1, -2/5, 0, 1
Let l be (531/45 - 12) + 242/10. Factor -l*r + 66*r**3 - 90*r**2 - 40*r**3 - 23*r**3 - 24*r**3.
-3*r*(r + 4)*(7*r + 2)
Let g(y) be the first derivative of y**3/12 + 189*y**2/8 + 47*y + 313. Solve g(l) = 0.
-188, -1
Let f(v) = -39*v**2 + 34536*v - 34497. Let h(u) = -8*u**2 + 6907*u - 6899. Let d(t) = -5*f(t) + 24*h(t). Factor d(p).
3*(p - 2303)*(p - 1)
Suppose 96*p - 72*p - 120 = 0. Let n(i) = 24*i - 118. Let y be n(p). Determine o so that -6*o + 9/4 + 11/2*o**y + 1/4*o**4 - 2*o**3 = 0.
1, 3
Let b = -1/496811 + 5535895/496811. Factor 0 + b*l**2 - 2/7*l**3 + 0*l.
-2*l**2*(l - 39)/7
Let f(z) be the third derivative of -z**6/12 + 269*z**5/15 - 1197*z**4 - 1944*z**3 - 2135*z**2. Factor f(t).
-2*(t - 54)**2*(5*t + 2)
Let m be (2/(-3))/(-1 - (-481)/507). What is s in -6673*s**2 + 24 - m*s - 8*s + 2*s + 6676*s**2 - 8*s = 0?
1, 8
Let d = -657 - -1026. Let m = d - 2575/7. Determine q, given that -m*q**2 - 6/7*q - 2/7*q**3 + 0 = 0.
-3, -1, 0
Let s(n) = -3*n**2 + 15*n - 45. Let a be s(6). Let t be (-147)/a + (-5)/(5/2