/k + 1. Factor a*q**2 - 17/6*q + 1/3 - 13/6*q**3.
-(q - 1)**2*(13*q - 2)/6
Let g(u) be the first derivative of 165 + 4/3*u + 1/15*u**5 - 7/12*u**4 + 5/3*u**3 - 13/6*u**2. Let g(p) = 0. Calculate p.
1, 4
Find t, given that 513/4 + 81/2*t - 3/4*t**2 = 0.
-3, 57
Let x(o) be the first derivative of 15*o**2 - 5/6*o**3 - 1/4*o**5 + 21*o - 5/3*o**4 + 4. Let f(m) be the first derivative of x(m). Factor f(r).
-5*(r - 1)*(r + 2)*(r + 3)
Let i be (4/(-1) - -6 - (-51)/(-24))/(324/(-288)). Determine g, given that 1/9*g**2 - i*g - 2/3 = 0.
-2, 3
Suppose 59*a - 216 = -13*a. Let w(l) be the third derivative of 0*l**4 + 0*l + 0 + 0*l**a + 1/300*l**6 + 7*l**2 + 1/75*l**5. Factor w(g).
2*g**2*(g + 2)/5
Let a(r) = 2*r**2 - 38*r + 180. Let x be a(11). Suppose x*l + 18 = 5*j, 2*j - 5*l - 2 = -5. Suppose -j*p**2 + 0*p + 2/3*p**3 + 0 = 0. Calculate p.
0, 9
Suppose 33*q - 2*y + 12 = 35*q, 5*q - 22 = -y. Let n(d) be the second derivative of 12/5*d**2 - 1/5*d**q + 14/15*d**3 + 0 - 3*d. Factor n(u).
-4*(u - 3)*(3*u + 2)/5
Let u be (24/15)/(4 - (-1)/(-15)*33). Let z(y) be the second derivative of -32*y + 0 + u*y**3 + 1/36*y**4 + 32/3*y**2. Factor z(k).
(k + 8)**2/3
Suppose q + 65*a = 62*a + 23, 39 = 3*q + 4*a. Let r(m) be the second derivative of -m**4 + 3/20*m**q + 5/2*m**3 - 3*m**2 - 11*m + 0. What is d in r(d) = 0?
1, 2
Let n(g) be the third derivative of -g**7/42 + 151*g**6/6 - 15301*g**5/2 + 227255*g**4/6 - 453005*g**3/6 - 2*g**2 + 2156*g + 2. Factor n(d).
-5*(d - 301)**2*(d - 1)**2
Let p(w) = 135*w**3 - 790*w**2 + 640*w + 810. Let f(n) = -38*n - 37*n**3 + 22*n**3 - 31*n - 2*n + 88*n**2 - 90. Let m(y) = -35*f(y) - 4*p(y). Factor m(d).
-5*(d - 3)**2*(3*d + 2)
Let s(f) = 87*f + 525. Let n be s(-6). Let i(q) be the first derivative of -5/4*q**2 - 1/12*q**n - 2 + 11/4*q. Find j, given that i(j) = 0.
-11, 1
Let w = 1483 + -1465. Let m(h) be the second derivative of 0*h**2 - 2/21*h**3 + 1/210*h**5 - w*h - 1/126*h**4 + 0. Solve m(c) = 0 for c.
-2, 0, 3
Let z be (-301)/(-196) - (-783)/(-609). Suppose 7/4*m - z*m**2 - 3/2 = 0. Calculate m.
1, 6
Factor -3480 - 90*m + 6954 - 3482 - 22*m**2.
-2*(m + 4)*(11*m + 1)
Let h(o) = 23*o**4 + 83*o**3 + 17. Let t(n) = -8*n**4 - 28*n**3 - 6. Let y(d) = 6*h(d) + 17*t(d). Factor y(q).
2*q**3*(q + 11)
Let c = 2/76085 - -852146/228255. Factor -2/15*x**2 + 0 - c*x.
-2*x*(x + 28)/15
Let h(r) be the third derivative of 0 - 225*r**2 - 5/6*r**3 + 0*r + 5/12*r**5 + 5/6*r**4. What is y in h(y) = 0?
-1, 1/5
Factor 2124/11*x + 2126/11 - 2/11*x**2.
-2*(x - 1063)*(x + 1)/11
Let t(o) be the second derivative of 0*o**2 + 1/10*o**5 + 0*o**4 + 0 - 1/6*o**3 + 0*o**6 - 1/42*o**7 - 69*o. Factor t(d).
-d*(d - 1)**2*(d + 1)**2
Let a = -387395/117 + 29855/9. Factor 56/13*v - 6/13*v**3 - a*v**2 + 0.
-2*v*(v + 14)*(3*v - 2)/13
Let r(o) be the third derivative of -27*o**8/56 - 228*o**7/35 + 599*o**6/60 + 911*o**5/15 + 173*o**4/3 + 24*o**3 - 1975*o**2. Solve r(i) = 0 for i.
-9, -1, -2/9, 2
Let m = -18 - -20. Let v be 1*(-150)/(-3)*(-72)/(-1620). Determine f so that 50/9*f + 2/9*f**3 + 0 - v*f**m = 0.
0, 5
Let q(j) be the first derivative of -j**7/560 - j**6/36 - 29*j**5/240 + j**4/4 - 184*j**3/3 - 101. Let o(f) be the third derivative of q(f). Factor o(x).
-(x + 3)*(x + 4)*(3*x - 1)/2
Factor -13909*b**3 + 3429*b**2 + 13714*b**3 + b**4 - 11532 - 7905*b + 2*b**4.
3*(b - 31)**2*(b - 4)*(b + 1)
Let -3*t**4 - 19*t**3 + t**5 + 92*t**2 - 29 - 11 - 24*t**2 + 18*t - 25*t**2 = 0. What is t?
-4, -1, 1, 2, 5
Let t(m) = 20*m**4 - 300*m**3 + 164*m**2 + 108*m - 112. Let d(l) = -l**4 + 7*l**3 - l**2 + l - 1. Let q(c) = -24*d(c) - t(c). Factor q(s).
4*(s - 1)**2*(s + 1)*(s + 34)
Suppose -7052 - 19228 = -60*i. Suppose -436*d + i*d = 6. Factor -4/9*h**d - 4/9*h**2 + 4/9*h + 4/9.
-4*(h - 1)*(h + 1)**2/9
Suppose 677*v + 104 = 703*v. Let h = -12113/5 + 2437. Determine i so that 0 - 12/5*i + 6*i**v + 54/5*i**2 - h*i**3 = 0.
0, 2/5, 1
Let s(o) = -2*o**3 - o**2 - 9*o + 72. Let n be s(0). Let t = 74 - n. What is k in -2/3*k**t - 4/3*k - 2/3 = 0?
-1
Let y = 114415 - 1034404/9. Let u = y + 519. Let 2/9*x**5 + 0*x + 2/3*x**4 + u*x**2 + 0 + 2/3*x**3 = 0. Calculate x.
-1, 0
Let u(g) be the first derivative of g**4/32 - 53*g**3/12 - g**2/16 + 53*g/4 + 279. Factor u(v).
(v - 106)*(v - 1)*(v + 1)/8
Let n be (-3)/(-2) - (-11)/(-10). Let v = 509/6 - 847/10. Find t, given that 0 + v*t**4 - 8/15*t + n*t**3 + 0*t**2 = 0.
-2, 0, 1
Suppose 0 = 11*k + 4102 - 13540. Let n = 3433/4 - k. Determine u, given that -2 - 21/4*u**2 + n*u**4 + 23/4*u + 5/4*u**3 = 0.
-8, 1
Suppose -175 + 75 = 46*c - 100. Factor q**2 + 0*q + c - 1/4*q**3.
-q**2*(q - 4)/4
Suppose 40 = q - i, -26*q - 2*i = -23*q - 110. Suppose 2*l**3 - 24*l**4 + 0*l**3 - 8 - 2*l**5 - 6*l**5 + q*l**2 = 0. What is l?
-2, -1/2, 1/2, 1
Let x be 2/10 - (1 + 64/(-5)). Let g be x/10*((-880)/(-33))/16. Factor 1/3*r + 0 + 1/3*r**g.
r*(r + 1)/3
Let z be -18*15/(-4)*(-108)/(-81). Let u be 549/z + -2 + (-1)/10. Factor -3/2*k**u - 3/4*k**5 + 0*k**2 + 0 + 0*k - 3/4*k**3.
-3*k**3*(k + 1)**2/4
Let n(j) be the third derivative of -433*j**6/200 - 218*j**5/25 - 89*j**4/8 - 3*j**3/5 + 313*j**2. Find g, given that n(g) = 0.
-1, -6/433
Let r(x) = -535*x**3 + 1633*x**2 - 145*x. Let d(y) = 537*y**3 - 1633*y**2 + 147*y + 1. Let z(p) = 3*d(p) + 4*r(p). Factor z(o).
-(o - 3)*(23*o - 1)**2
Let p(s) be the first derivative of 3*s**5/20 - 3*s**4/2 + 11*s**3/2 - 9*s**2 + 71*s - 81. Let c(z) be the first derivative of p(z). Factor c(y).
3*(y - 3)*(y - 2)*(y - 1)
Let i be ((-30)/240)/((-40)/2400). Let k be 2/(-3) + (-8)/(-3). Solve 2 - i*d + 7*d**k = 0 for d.
1/2, 4/7
Suppose 63653*t**4 + 4*t**5 - 63697*t**4 - 12*t**3 - 36*t**3 = 0. What is t?
-1, 0, 12
Let o(u) be the first derivative of -4/5*u**3 + 66 + 8*u + 4/25*u**5 + 26/5*u**2 - u**4. Factor o(z).
4*(z - 5)*(z - 2)*(z + 1)**2/5
Factor 27191 + 2*z**2 + 29116 + 856*z + 0*z**2 + 35285.
2*(z + 214)**2
Let m(c) = c**3 + 14*c**2 + c + 18. Let p be m(-14). Determine b so that 16 - 22*b**2 - 67*b - p*b**3 - 4*b**4 + 23*b + 58*b**2 = 0.
-4, 1
Let q(s) be the second derivative of 3/40*s**5 + 0*s**3 + 3/40*s**6 + 0 + 0*s**4 + 1/56*s**7 + 0*s**2 - 18*s. Factor q(m).
3*m**3*(m + 1)*(m + 2)/4
Let 446*z**2 - 18/11*z**4 - 7350/11*z**3 - 818/11*z + 0 = 0. What is z?
-409, 0, 1/3
Let j(r) be the first derivative of -2*r**3/33 - 169*r**2/11 - 336*r/11 + 2644. Factor j(v).
-2*(v + 1)*(v + 168)/11
Let i(k) be the first derivative of 31*k**6/6 + 281*k**5/15 + k**4/2 - 124*k**3/3 - 4*k**2/3 + 1135. Suppose i(s) = 0. Calculate s.
-2, -2/93, 0, 1
Let u(y) be the third derivative of -y**7/420 - 299*y**6/80 - 99901*y**5/60 + 50475*y**4/4 - 33750*y**3 - 10399*y**2. Determine n so that u(n) = 0.
-450, 1, 2
Let f be (-4 - -8)/(-4)*-2. Let -3*h**2 + 21*h - 5*h**f - 9 + 5*h**2 - 3*h**2 = 0. Calculate h.
1/2, 3
Let y(k) be the third derivative of -67*k**2 + 1/1785*k**7 + 1/51*k**3 + 0 - 1/255*k**5 - 1/2856*k**8 + 1/510*k**6 + 0*k - 1/204*k**4. Factor y(n).
-2*(n - 1)**3*(n + 1)**2/17
Let k(u) be the third derivative of -u**8/84 - 34*u**7/105 - 13*u**6/30 + 53*u**5/15 + 41*u**4/3 + 64*u**3/3 + 2*u**2 + 72*u. Suppose k(d) = 0. What is d?
-16, -1, 2
Let g = 20128 - 60260/3. Solve -961/3 - g*d - 4/3*d**2 = 0 for d.
-31/2
Let c(z) be the third derivative of -1 + 10/3*z**3 - 1/2*z**4 - 8*z**2 + 0*z + 1/60*z**5. Factor c(a).
(a - 10)*(a - 2)
Let g(n) = 11*n**3 + 56*n**2 - 67*n - 40. Let t be g(-6). Let -18/13 + 228/13*c - 722/13*c**t = 0. Calculate c.
3/19
Determine t, given that 26/11*t**2 - 7650/11 - 2/11*t**3 + 570/11*t = 0.
-17, 15
Let i(k) be the second derivative of 5*k**4/12 + 175*k**3/3 - 1140*k**2 - 3*k - 123. Factor i(c).
5*(c - 6)*(c + 76)
Let v = -235 + 246. Let s(t) = 9*t**2 - 18*t - 69. Let u(r) = -17*r**2 + 33*r + 139. Let k(y) = v*s(y) + 6*u(y). Factor k(n).
-3*(n - 5)*(n + 5)
Let h be (-10)/(0 - 2) + (-30)/6. Suppose 3*n + d - 5 + 0 = h, n - 2*d = -10. Factor 4/5*r**2 + 1/5*r**3 + n + 4/5*r.
r*(r + 2)**2/5
Let v(q) be the second derivative of q**6/120 + q**5/10 - 13*q**4/16 - 29*q**3/12 + 11*q**2 + 11*q - 51. Determine j, given that v(j) = 0.
-11, -2, 1, 4
Let b(k) be the second derivative of -16/33*k**3 + 1/231*k**7 - 9*k - 12/11*k**2 + 5/66*k**4 + 0 + 7/165*k**6 + 3/22*k**5. Find g such that b(g) = 0.
-3, -2, -1, 1
Suppose -2742*u = -2744*u - 2*s +