et i be ((-4)/(-20))/(3/15)*0. Let p(s) be the second derivative of -1/27*s**3 + i - 1/135*s**6 - 1/18*s**4 - 1/30*s**5 + 0*s**2 + 6*s. Solve p(u) = 0 for u.
-1, 0
Let s(i) be the first derivative of -15125*i**4 + 19525*i**3/3 - 590*i**2 + 20*i + 423. Let s(w) = 0. What is w?
2/55, 1/4
Let s(v) = -v**4 - v**3 - 2. Let b(k) = -4*k**4 - 50*k**3 - 228*k**2 + 832*k + 1010. Let c(r) = b(r) - 2*s(r). Factor c(x).
-2*(x - 3)*(x + 1)*(x + 13)**2
Suppose 3*d + 9 = 4*d. Suppose -4*k + 10 = 5*h, -2*h + d - 5 = -4*k. Factor -1/5*r**3 + 1/5*r**5 + k*r - 1/5*r**2 + 0 + 1/5*r**4.
r**2*(r - 1)*(r + 1)**2/5
Let x(l) = 6*l + 21. Let r be x(6). Let w = r + -54. Factor 1/3*d**2 + 2*d + w.
(d + 3)**2/3
Let o = -8 - -27. Let a = -7 + o. Suppose 12 + 39*s + 10 + 2 + 5*s + a*s**2 = 0. Calculate s.
-3, -2/3
Let q(t) be the third derivative of -t**5/150 + 17*t**4/60 + 6*t**3/5 - 168*t**2. Determine y, given that q(y) = 0.
-1, 18
Let d(l) be the first derivative of -l**5/15 + 7*l**4 - 1846*l**3/9 + 574*l**2 - 1681*l/3 - 62. What is k in d(k) = 0?
1, 41
Let l(h) be the first derivative of 0*h - 1/60*h**5 + 1/12*h**4 + 0*h**3 - 1/2*h**2 + 2. Let b(c) be the second derivative of l(c). Factor b(j).
-j*(j - 2)
Let s(p) be the second derivative of -5/114*p**4 - 3/190*p**5 + 4/57*p**3 + 13*p + 0*p**2 + 1/57*p**6 + 0 - 1/399*p**7. Suppose s(h) = 0. Calculate h.
-1, 0, 1, 4
Let w be ((-887)/(-6) - 1)/((-75)/100). Let m = w - -196. What is p in 4/3*p + 2 + m*p**2 = 0?
-3
Let a = -3745 - -3751. Find f such that -16/3*f**3 + 16/3*f + 8/3 + 10/3*f**4 - a*f**2 = 0.
-1, -2/5, 1, 2
Let l(u) = -u**3 + 4*u**2 - 3. Let r be l(4). Let p be 1/(-4) - (r/12 + 0). Suppose -1/2*v**2 + 0*v - 1/2*v**3 + p = 0. Calculate v.
-1, 0
Suppose -125*p + 250 = -0*p. Factor -22/5*u**p - 4/5*u - 18/5*u**3 + 0.
-2*u*(u + 1)*(9*u + 2)/5
Let -14641/8 - 1/8*f**4 - 363/4*f**2 - 11/2*f**3 - 1331/2*f = 0. Calculate f.
-11
Let u(x) = -17*x - 13. Let p be u(-5). Let a = 76 - p. Let 4/9*i**2 + 0 - 10/9*i**3 - 2/9*i**5 + 8/9*i**a + 0*i = 0. What is i?
0, 1, 2
Let b(w) be the first derivative of -w**6/15 - 4*w**5/25 + w**4/10 + 4*w**3/15 + 96. Suppose b(j) = 0. What is j?
-2, -1, 0, 1
Let d(t) be the third derivative of 0*t + 0 - 1/15*t**3 - 4*t**2 + 2/75*t**5 + 0*t**4. Factor d(l).
2*(2*l - 1)*(2*l + 1)/5
Factor 27*v**4 + 3*v**2 - 3*v**3 + 0*v**3 + 3*v - 3*v**2 - 28*v**4 + v**2.
-v*(v - 1)*(v + 1)*(v + 3)
Let f(b) be the first derivative of 12*b**5/5 + 23*b**4 + 140*b**3/3 - 62*b**2 - 120*b - 187. Let f(l) = 0. Calculate l.
-5, -3, -2/3, 1
Solve -14*a**2 + 12 + 31*a**2 - 10*a**2 - 10*a**2 = 0 for a.
-2, 2
Let d be (2 - 206/110) + (-3)/(-11). Factor -4/5 + 0*j**2 - d*j**3 + 6/5*j.
-2*(j - 1)**2*(j + 2)/5
Let m = 596 + -596. Let t(v) be the second derivative of 9*v + 1/2*v**3 - 1/4*v**4 + m*v**2 + 0. Factor t(b).
-3*b*(b - 1)
Let i(n) be the second derivative of -n**4/54 + 16*n**3/9 - 64*n**2 + 2*n + 95. Factor i(z).
-2*(z - 24)**2/9
Determine y so that y**3 - 4/5*y + 0 + 3/5*y**4 - 1/5*y**5 - 3/5*y**2 = 0.
-1, 0, 1, 4
Let k(j) be the second derivative of -j**9/60480 + j**8/13440 + j**7/10080 - j**6/1440 - j**4/3 + 13*j. Let c(n) be the third derivative of k(n). Factor c(y).
-y*(y - 2)*(y - 1)*(y + 1)/4
Let a = -886/781 + 300/71. Factor 14/11*z**2 - 2/11*z**3 + a*z + 18/11.
-2*(z - 9)*(z + 1)**2/11
Suppose m - 5*p + 52 - 49 = 0, -p + 1 = 0. Let -1/2*c**4 - 1/2 + 2*c - 3*c**2 + m*c**3 = 0. What is c?
1
Let u(d) be the second derivative of d**6/40 - d**5/10 - d**4/2 + 4*d**3 - d**2 + 19*d. Let g(j) be the first derivative of u(j). Factor g(w).
3*(w - 2)**2*(w + 2)
Let w(z) be the first derivative of 8*z**2 - 16*z + 4/3*z**3 + 43 - z**4. Factor w(h).
-4*(h - 2)*(h - 1)*(h + 2)
Let h(m) be the third derivative of -m**6/180 - m**5/60 + m**4/6 + 7*m**3/2 - 57*m**2. Let v(g) be the first derivative of h(g). Factor v(b).
-2*(b - 1)*(b + 2)
Let z be 30/9 - 2*3/18. Let x(d) be the third derivative of d**2 + 0*d**4 - 1/2*d**z + 0*d + 0 + 1/20*d**5. Factor x(k).
3*(k - 1)*(k + 1)
Let g(n) be the second derivative of 4*n**2 - 5*n - 1/3*n**4 + 0 + 2/3*n**3. Factor g(a).
-4*(a - 2)*(a + 1)
Let v be (4/23)/2 + (-27)/(-2070). Let y(j) be the second derivative of -3*j + v*j**5 + 0 + 8/3*j**3 + 4*j**2 + 5/6*j**4. Factor y(p).
2*(p + 1)*(p + 2)**2
Factor -833/5*p - 3/5*p**3 - 101/5*p**2 + 289/5.
-(p + 17)**2*(3*p - 1)/5
Let h be ((-12)/(-147))/((-2)/(-14)*(3 + 0)). Factor -2/21*t**5 + 2/21*t**4 - 10/21*t**2 + 0 + 2/7*t**3 + h*t.
-2*t*(t - 1)**3*(t + 2)/21
Let s(d) be the first derivative of d**6/18 - 16*d**5 + 7319*d**4/6 - 9520*d**3/3 + 14161*d**2/6 - 102. Find b, given that s(b) = 0.
0, 1, 119
Let a = -956 + 1360. Let r = -1190/3 + a. Solve -7*z**5 + 8*z**3 + r*z**2 - 2/3 - z - 20/3*z**4 = 0 for z.
-1, -2/7, 1/3, 1
Let d be -105 + 107 - 8/5. Find b, given that 2/3 - 28/15*b - d*b**2 = 0.
-5, 1/3
Factor 4/9 - 2/9*f - 4/9*f**2 + 2/9*f**3.
2*(f - 2)*(f - 1)*(f + 1)/9
Let x(f) be the second derivative of f**5/12 - 3*f**4/4 + 5*f**3/9 + 89*f. Solve x(k) = 0 for k.
0, 2/5, 5
Let r(w) = -24*w**3 - 76*w**2 - 54*w + 6. Let z(u) = u**4 - 23*u**3 - 75*u**2 - 54*u + 9. Let h(i) = 3*r(i) - 2*z(i). What is t in h(t) = 0?
-9, -3, -1, 0
Let b(v) be the first derivative of 2/75*v**5 + 0*v + 0*v**4 + 10 + 0*v**2 - 2/45*v**3. Let b(k) = 0. Calculate k.
-1, 0, 1
Let d(b) = 2*b**2 - 9*b - 2 + b + b + 5*b. Let z be d(2). Factor -10/7*o**4 + 18/7*o**3 + 0 - z*o**2 + 4/7*o + 2/7*o**5.
2*o*(o - 2)*(o - 1)**3/7
Let k(f) be the second derivative of -f**7/14 + f**6/10 + 3*f**5/20 - f**4/4 - 9*f + 2. Factor k(h).
-3*h**2*(h - 1)**2*(h + 1)
Factor -2/5*t + 2/5*t**3 - 6/5*t**2 + 6/5.
2*(t - 3)*(t - 1)*(t + 1)/5
Let y be (2 - 4)/2 + (-81)/(-55). Let s = y + -4/55. Suppose -s*k**4 + 0 - 6/5*k**3 - 2/5*k - 6/5*k**2 = 0. What is k?
-1, 0
Suppose 10*t - 15 = 5. Determine i so that 2*i**t - 2 + 8*i + 10*i - 4*i**2 - 14*i = 0.
1
Let n be ((-2)/3)/((-19)/171). Let d(q) = 3*q**3 - 11*q**2 - 9*q - 5. Let j(y) = -3*y**3 + 12*y**2 + 9*y + 6. Let r(p) = n*d(p) + 5*j(p). Factor r(f).
3*f*(f - 3)*(f + 1)
Let m = 26 - 23. Let -2*w**2 + 0*w**3 + 6*w**3 - 19*w**2 + 6*w + 9*w**m = 0. What is w?
0, 2/5, 1
Let v be 1 + -11 + 1130/113. Factor -h**5 + 0*h - 1/2*h**4 + 0 + v*h**2 + 0*h**3.
-h**4*(2*h + 1)/2
Let t be (-1772)/(-3310) - 24/60. Let j = -2/993 + t. Find y, given that -j*y**2 + 0*y + 0 = 0.
0
Let v = 41 + -43. Let b be ((-3)/(-12) + v/8)/(-4). Find w such that 2/5*w**5 + 8/5*w + 12/5*w**4 + b + 24/5*w**2 + 26/5*w**3 = 0.
-2, -1, 0
Let q(z) be the third derivative of -z**5/150 + z**4/12 - 2*z**3/5 - 4*z**2 + 151*z. Let q(s) = 0. Calculate s.
2, 3
Let m(t) be the third derivative of t**7/42 + 7*t**6/24 - 5*t**5/6 - 10*t**4/3 + t**2 - 7*t. Factor m(l).
5*l*(l - 2)*(l + 1)*(l + 8)
Let y(i) be the first derivative of -10*i**2 + 17/3*i**3 - i**4 + 4*i - 16. Solve y(l) = 0 for l.
1/4, 2
Let z(g) be the third derivative of 9*g**2 + 0 + 0*g**3 - 1/216*g**4 + 1/540*g**5 + 0*g. Factor z(l).
l*(l - 1)/9
Let r(h) = -30*h**3 + 850*h**2 - 1085*h + 275. Let y(k) = -15*k**3 + 425*k**2 - 542*k + 138. Let g(x) = -3*r(x) + 5*y(x). Determine w, given that g(w) = 0.
1/3, 1, 27
Let z = 15 + -17. Let w(r) = -r**5 + r**2 - r - 1. Let h(p) = 2*p**5 - 2*p**4 - p**2 + 4*p + 3. Let u(t) = z*h(t) - 6*w(t). Factor u(y).
2*y*(y - 1)*(y + 1)**3
Factor -15*b**3 + 5*b**5 - 516*b**4 + 1034*b**4 - 25*b**2 - 10*b - 513*b**4.
5*b*(b - 2)*(b + 1)**3
Let y(c) be the third derivative of -40*c**2 + 0 + 1/36*c**4 + 1/60*c**5 + 0*c**3 + 0*c - 1/630*c**7 + 0*c**6. Determine j so that y(j) = 0.
-1, 0, 2
Let x(n) be the third derivative of -n**6/90 + n**5/45 + n**4/9 - 2*n**2 + 37. Factor x(u).
-4*u*(u - 2)*(u + 1)/3
Factor 5*x**3 - 7*x**3 - 58*x + 110 + 154 - 128*x**2 - 82*x + 6*x**3.
4*(x - 33)*(x - 1)*(x + 2)
Let s(r) be the third derivative of r**8/560 - r**7/280 - r**6/60 - 5*r**3/2 - 11*r**2. Let d(m) be the first derivative of s(m). Suppose d(x) = 0. Calculate x.
-1, 0, 2
Let r(d) be the third derivative of -d**5/180 - 17*d**4/72 - 8*d**3/9 - d**2 - 52*d. Factor r(i).
-(i + 1)*(i + 16)/3
Let u = -35706/145 + 1234/5. Let o = 125/174 - u. Suppose -2/3*d + o*d**2 + 2/3 = 0. Calculate d.
2
Let r be (-6*9/(-162))/((-1)/(-15)). Suppose 0 = 6*m - r*m. Factor 3/2*n + m + 3/4*n**2.
3*n*(n + 2)/4
Let w = 11678/5 - 2304. Let u