tive of x**6/240 + 3*x**5/40 + 9*x**4/16 + 9*x**3/4 + 13*x**2 - 8. Factor z(p).
(p + 3)**3/2
Let x(r) be the first derivative of 7*r**4/12 + 3694*r**3/9 + 2633*r**2/6 - 1054*r/3 + 5399. Determine v, given that x(v) = 0.
-527, -1, 2/7
Let u(q) be the third derivative of q**5/270 - 151*q**4/36 + 573*q**2. Solve u(s) = 0 for s.
0, 453
Let o(z) be the first derivative of -38/3*z**3 + 9*z**2 + 76 - 2/5*z**5 + 11/2*z**4 + 0*z. Let o(a) = 0. What is a?
0, 1, 9
Suppose -4 = 2*k - 3*t - 19, -k - 5*t = 12. Suppose 84 + 64 + k*o**2 + o**2 - 7 + 39 + 72*o = 0. What is o?
-15, -3
Let o be (16/5 - -3) + -3. Let t be 4/9*25128/1745. Let -2/5*w**2 - t - o*w = 0. What is w?
-4
Let m(i) = 6*i**3 - 1560*i**2 - 201204*i + 408717. Let y(r) = -r**3 - 3*r + 1. Let h(f) = -m(f) - 9*y(f). Factor h(p).
3*(p - 2)*(p + 261)**2
Factor 24/11 - 2*d**2 - 262/11*d.
-2*(d + 12)*(11*d - 1)/11
Suppose 2*m - 5*g - 10 = -11*g, -4*g - 20 = -4*m. Let p(i) be the second derivative of 0 - 30*i + 1/110*i**m - 5/11*i**2 + 1/3*i**3 - 7/66*i**4. Factor p(z).
2*(z - 5)*(z - 1)**2/11
Let p(n) be the first derivative of 15*n**6/14 + 597*n**5/35 - 243*n**4/14 - 108*n**3/7 + 12*n**2 - 1752. What is m in p(m) = 0?
-14, -2/3, 0, 2/5, 1
Let a(k) be the third derivative of 0*k + 1/8*k**4 + 0 + 1/60*k**5 + 0*k**3 - 39*k**2. What is r in a(r) = 0?
-3, 0
Let d = -223 - -225. Factor -5*t + 1392 - 3*t**5 + d*t**2 - 4*t**4 + 4*t**3 + 4*t**5 - 1390.
(t - 2)*(t - 1)**3*(t + 1)
Let w be (161/(-49) - -4)/(-4 - 1701/(-294)). Let z = -1/18 + 77/90. Let 0 - z*x**4 + 1/5*x**5 + 0*x - w*x**2 + x**3 = 0. What is x?
0, 1, 2
Let s(o) be the third derivative of o**6/540 + 842*o**5/135 + 235759*o**4/36 - 157922*o**3/3 - 30*o**2 + 9*o. Find v such that s(v) = 0.
-843, 2
Factor 0*m - 11/2*m**2 + 0 - 1/2*m**3.
-m**2*(m + 11)/2
Suppose 33/5*a**4 + 21/5*a**3 - 93/5*a**2 + 3/5*a**5 - 24/5*a + 12 = 0. What is a?
-10, -2, -1, 1
Let g(u) be the second derivative of -u**7/6 + 9*u**6/10 + 5*u**5/4 - 67*u**4/12 - 11*u**3 - 4*u**2 - 716*u. Find f such that g(f) = 0.
-1, -1/7, 2, 4
Let z(w) = w**2 - w - 1. Let q(r) = -4*r**4 + 1416*r**3 - 168476*r**2 + 6899252*r - 19219360. Let x(s) = q(s) - 4*z(s). Factor x(o).
-4*(o - 117)**3*(o - 3)
Let f be 0 - 2/14 - (-3)/21. Suppose f = -5*z, 0 = 3*p - 5*z - 6 - 3. Factor 0*k**2 + 4/3 + 2*k - 2/3*k**p.
-2*(k - 2)*(k + 1)**2/3
Let u(m) = -4*m**2 + 2916*m + 530080. Let s(f) = -2*f**2 + f + 24. Let r(q) = 4*s(q) - u(q). Factor r(l).
-4*(l + 364)**2
Let d = -132619/10 + 13262. Let k(m) be the second derivative of 0*m**3 + 0 - 30*m - d*m**5 - 1/3*m**4 + 0*m**2. Determine z, given that k(z) = 0.
-2, 0
Let w(c) be the third derivative of -16 + 0*c - c**2 - 8*c**3 + 1/2*c**4 - 1/70*c**7 + 1/40*c**6 + 3/5*c**5. Factor w(d).
-3*(d - 4)*(d - 1)*(d + 2)**2
Factor 2/3*m**2 + 142/3*m + 840.
2*(m + 35)*(m + 36)/3
Let x = 1051310 + -75691471/72. Let h = x + -265/9. Suppose -19/8*q + 1/8 - h*q**3 + 99/8*q**2 = 0. What is q?
1/9, 1
Let a be ((-1408)/112 + 12)*14*(-11)/12. Determine u so that 5/2*u**2 + a - 1/6*u**3 - 8*u = 0.
2, 11
Let s(t) = -42*t - 5331. Let g be s(-127). Factor 15/4*v**2 + 0 + 1/4*v**g + 0*v.
v**2*(v + 15)/4
Let m(q) be the second derivative of q**9/30240 - q**8/4480 - q**7/1260 + q**4/6 - q**2 - 2*q - 1. Let y(d) be the third derivative of m(d). Solve y(f) = 0.
-1, 0, 4
Find t such that 20*t**2 - 4/3*t**3 + 12*t - 72 - 4/3*t**4 = 0.
-3, 2, 3
Solve -2/3*v**2 + 2/3 + 0*v = 0.
-1, 1
Let z = 153 - 149. Factor -4*m**2 + 56 - z*m**2 - 40 + 4*m**2.
-4*(m - 2)*(m + 2)
Suppose -9*n + 112 = -n. Suppose n = 5*b + 4. Solve -k + 335*k**2 - 2*k - 332*k**b = 0.
0, 1
Let n(l) be the second derivative of -l**5/45 + 16*l**4/27 - 122*l**3/27 + 44*l**2/3 - 15*l - 10. Factor n(q).
-4*(q - 11)*(q - 3)*(q - 2)/9
Let r be (4 - 141/33) + (-7748)/(-1144). Let h(b) be the first derivative of 2/5*b**5 + 40*b**3 - 112*b**2 + 128*b - 21 - r*b**4. Factor h(g).
2*(g - 4)**3*(g - 1)
Suppose 0 = -28*z - 30 + 114. Factor -15 + 2*c**z - 3*c**3 + 24*c + 0*c**3 + 3*c - 2*c**3 - 9*c**2.
-3*(c - 1)**2*(c + 5)
Let d(a) = 56*a + 507. Let m be d(-9). Determine f, given that -1/6*f**m - 11/6*f + 0 - 2*f**2 = 0.
-11, -1, 0
Let z(o) be the first derivative of o**4/4 + 51*o**3 + 7803*o**2/2 - 45*o + 148. Let b(j) be the first derivative of z(j). Let b(f) = 0. Calculate f.
-51
Suppose -26 + 116 = 2*j. Suppose -5*h + 30 = 2*b, 0*b = 5*h - b - j. Find z such that -6*z + 45*z**3 + 3*z**4 + 23*z**2 - h*z**2 - 57*z**3 = 0.
0, 1, 2
Determine g so that 84/11*g - 54/11*g**2 + 144/11 + 6/11*g**3 = 0.
-1, 4, 6
Let s(k) be the second derivative of k**4/60 - 1109*k**3/5 + 11068929*k**2/10 + 1611*k + 2. Factor s(p).
(p - 3327)**2/5
Factor -178038 - 158*k**3 - k**5 - 59*k**4 + 560*k**2 + 178038.
-k**2*(k - 2)*(k + 5)*(k + 56)
Let x(u) be the third derivative of -u**3 + 9/160*u**6 - 9/8*u**4 + 0 - 14*u + 5*u**2 + 1/40*u**7 - 13/40*u**5. Solve x(j) = 0.
-2, -1, -2/7, 2
Let v(x) = -25*x**3 + 205*x**2 - 446*x + 74. Let i(t) = 50*t**3 - 410*t**2 + 893*t - 147. Let j = -312 + 318. Let s(u) = j*i(u) + 13*v(u). Factor s(n).
-5*(n - 4)**2*(5*n - 1)
Let h(s) = -s - 4. Let q be h(-3). Let v(u) = -18*u**2 + 6*u + 9. Let f(l) = -l**2 - 1. Suppose -2*p - 975 = -1005. Let d(r) = p*f(r) + q*v(r). Factor d(x).
3*(x - 4)*(x + 2)
Let i be 2/(-5)*(0 + 1 - 11). Suppose -i*n + 1 = -11. Factor 9*r**n - 4*r - r**4 - 7*r**4 + 3*r**3 + 0*r**4.
-4*r*(r - 1)**2*(2*r + 1)
Let 0 + 1/5*m**4 - 151/5*m + 303/5*m**2 - 153/5*m**3 = 0. Calculate m.
0, 1, 151
Let a = -1170839/120 - -9757. Let d(r) be the third derivative of -a*r**6 - 1/2*r**3 + 18*r**2 + 0 + 1/20*r**5 + 0*r + 1/24*r**4. Suppose d(j) = 0. Calculate j.
-1, 1, 3
Let c = 2216 + -2203. Let s be 2/13*c*(2 + -1). Factor 0 + 10/13*h**s + 0*h - 8/13*h**3 - 2/13*h**4.
-2*h**2*(h - 1)*(h + 5)/13
Factor -1/8*p**4 + 27/4*p**2 - 35/2*p + 75/8 + 3/2*p**3.
-(p - 15)*(p - 1)**2*(p + 5)/8
Let s(i) be the first derivative of -27*i**6/4 - 18*i**5/5 + 525*i**4/8 - 46*i**3 + 9*i**2 + 2038. Let s(f) = 0. What is f?
-3, 0, 2/9, 1/3, 2
Let z(t) be the first derivative of -1/36*t**4 - 2/27*t**3 + 1/18*t**2 + 2/9*t + 132. Factor z(n).
-(n - 1)*(n + 1)*(n + 2)/9
Let m be (-1183 + 5 + 2)*((-10)/15 + (-4)/18). Solve 224/3*b - m - 4/3*b**2 = 0 for b.
28
Let i(y) = -y**4 + 2*y**3 - y + 1. Let g(u) = u**4 + 49*u**3 + 42*u**2 - 2*u + 2. Let j be (91/364)/((-2)/(-8)). Let l(o) = j*g(o) - 2*i(o). Solve l(x) = 0.
-14, -1, 0
Factor -2*c**5 + 6*c**3 + c**5 + 1354*c**4 - 30*c**3 - 36*c**2 - 1343*c**4.
-c**2*(c - 6)**2*(c + 1)
Find l, given that 224/9*l - 440/9 - 2/9*l**3 + 2/9*l**2 = 0.
-11, 2, 10
Suppose -2*m + 17 + 11 = 0. Factor 0*t**2 - 35 + t**2 + 26 - 23 + m*t.
(t - 2)*(t + 16)
Let l be (8/(-286))/(((-7448)/(-637))/(-76)). Let -l*m**2 + 36/11 - 6/11*m = 0. What is m?
-6, 3
Suppose -3*g + 7*g - 10 = 3*v, -2*v = 4*g - 20. Let m(j) be the second derivative of -1/6*j**4 - 8*j + 3*j**v + 0 + 2/3*j**3. Factor m(q).
-2*(q - 3)*(q + 1)
Find c such that 4*c**2 + 47 - 14*c**2 - 729*c + 405*c**3 + 78 + 404*c - 35*c**2 = 0.
-1, 5/9
Let u(c) be the first derivative of -9/2*c - 20 + 3*c**2 - 1/2*c**3. Factor u(f).
-3*(f - 3)*(f - 1)/2
Let r = 788 + -626. Let m = 164 - r. Let -3/8 + 1/8*l**m - 1/4*l = 0. What is l?
-1, 3
Let d(g) be the first derivative of -1/18*g**4 - 8/9*g - 4/27*g**3 + 7/9*g**2 + 59. Factor d(l).
-2*(l - 1)**2*(l + 4)/9
Suppose -293 = -56*v + 827. Suppose -10*m + m**3 - v*m**2 + 4*m**3 - 120 + 18*m**2 + 27*m**2 = 0. Calculate m.
-4, -3, 2
Let u(p) be the second derivative of -146*p + 5/4*p**4 - 5/2*p**3 + 0 - 1/4*p**5 + 5/2*p**2. Factor u(i).
-5*(i - 1)**3
Determine w, given that -23/10*w - 1/2 - 9/5*w**2 = 0.
-1, -5/18
Factor -12*x**2 - 286*x**2 + 3580 - 602*x + 2*x**3 - 7907 + 4025.
2*(x - 151)*(x + 1)**2
Let y(x) = -3*x - 12. Let d be y(-7). Factor -h**5 - d*h**2 + 4677*h**3 - 2*h**4 + 0*h + 0*h - 4696*h**3 - 9*h**4.
-h**2*(h + 1)**2*(h + 9)
Suppose 0 = 2*h + 2, -3*k + 5*h = -2 - 9. Factor 7*t + 3*t**4 - k*t**2 - 2*t**4 + 247 + 4*t**3 - 238 - 19*t.
(t - 1)**2*(t + 3)**2
Suppose 128 - 59 = 23*c. Let -3*g**c - 21*g - 7*g**3 - 12*g**2 + 54 + 13*g**3 - 24*g = 0. What is g?
-3, 1, 6
Let x be (5/25 + (-549)/120)/(31 - (-747)/(-24)). Solve x + 5/2*u**2 - 45/2*u = 0.
2, 7
Let s be (-4095)/(-156) + (-6)/(-8) + 0. Let b = s - 25. Factor 2*q**4 - 2*q