rst derivative of -u**6/24 - 5*u**5/4 - 177*u**4/16 - 143*u**3/12 + 605*u**2/4 + 9152. Find j such that m(j) = 0.
-11, -5, 0, 2
Let z = 127087/254166 - 2/127083. Solve -z*g**3 + 1 - 1/2*g**4 + 3/2*g**2 + 5/2*g = 0 for g.
-1, 2
Let y(i) be the second derivative of i**4/84 - 127*i**3/14 + 190*i**2/7 + 988*i. Factor y(v).
(v - 380)*(v - 1)/7
Suppose -158/7*w + 268/7 + 12/7*w**2 = 0. What is w?
2, 67/6
Suppose 0 = 23*c + 108 - 2017. Factor 7*m + 18*m + 2*m**4 - 8*m**3 + 16 + c*m**2 - 5*m + 76*m**2 - 165*m**2.
2*(m - 4)*(m - 2)*(m + 1)**2
Let q(l) = 5*l**3 + 384*l**2 - 83*l - 458. Let f be q(-77). Let b(o) be the first derivative of -4/27*o**3 + 0*o**2 + 0*o + 1/18*o**f + 2. Factor b(y).
2*y**2*(y - 2)/9
Let c(h) be the second derivative of -h**4/4 - 64*h**3 - 6144*h**2 + 634*h. Factor c(t).
-3*(t + 64)**2
Let x(l) be the first derivative of 2*l**5/65 - 9*l**4/26 - 308*l**3/39 - 144*l**2/13 + 1028. What is z in x(z) = 0?
-8, -1, 0, 18
Suppose 11*h - 133 = -78. Suppose -2*n - 4*s = -14, -6*n + 11*n + h*s - 25 = 0. Factor 0 + 1/12*t**4 + 0*t**n + 0*t - 1/12*t**2.
t**2*(t - 1)*(t + 1)/12
Let v(m) = m**3 + 32*m**2 - 4*m - 2. Let p be v(-32). Let z be 1/3 - (-66)/p*1. Find d, given that -2/7*d**2 + z - 4/7*d = 0.
-3, 1
Let y(t) = -2*t + 4. Let a be y(0). Let c be (-2)/(6/(-36)*a). Factor 147/4*q**4 + 63/4*q**3 - 18*q**2 + c*q + 0.
3*q*(q + 1)*(7*q - 2)**2/4
Let g = 31 - 23. Suppose 7 = g*n - 33. Factor 59*w**3 - 20*w**2 - 52*w**3 - 27*w**3 - n*w.
-5*w*(2*w + 1)**2
Let u(p) be the second derivative of p**6/90 - 6*p**5/5 + 99*p**4/2 - 972*p**3 + 19683*p**2/2 - 352*p. Factor u(z).
(z - 27)**2*(z - 9)**2/3
Let n(h) = -31*h - 183. Let t be n(-6). Let z be -4*4/16*-2. Factor -16 + c + 0*c + 22 - c**t - 6*c**z.
-(c - 1)*(c + 1)*(c + 6)
Let f be 426/(-568) - 10/(-12). Let p(r) be the first derivative of f*r**2 + 14 + 0*r + 1/18*r**3. Factor p(j).
j*(j + 1)/6
Let y(x) = x**3 - 2*x**2 + 8*x - 24. Let q be y(3). Factor 3*m**4 + 5*m**3 + 6 - q*m**2 - m**3 + 3*m - 7*m**3.
3*(m - 2)*(m - 1)*(m + 1)**2
Suppose -44*o = -17*o - 210*o + 732. Factor 1 - 1/2*s**3 + 3/4*s**2 + 2*s - 1/4*s**o.
-(s - 2)*(s + 1)**2*(s + 2)/4
Let w be (-3)/(12/(-107)) - 19/(-76). Let p = w + -23. Factor 951*f**4 - 442*f**4 + 220*f**2 + 481*f**p + 785*f**3 + 405*f**5 + 20*f.
5*f*(f + 1)**2*(9*f + 2)**2
Let -2340*p + 42*p**2 + 2004*p**2 + 121*p**3 + 477 + 171 = 0. What is p?
-18, 6/11
Let f be (-12045)/(-4818) + (-83)/38. Factor 4/19 - f*p + 2/19*p**2.
2*(p - 2)*(p - 1)/19
Let n(o) = -5*o**2 - 25*o + 60. Let f(b) be the second derivative of -3*b**2/2 - 141*b. Let i(q) = 30*f(q) + n(q). What is z in i(z) = 0?
-3, -2
Factor 1/10*p**3 - 33/10*p**2 + 0 - 43*p.
p*(p - 43)*(p + 10)/10
Let p(a) be the first derivative of a**5/30 - 17*a**4/8 - 37*a**3/2 - 509*a**2/12 - 38*a - 5765. Factor p(j).
(j - 57)*(j + 1)**2*(j + 4)/6
Suppose 869 = 11*j + 792. Let q(g) be the third derivative of 0*g**3 + 0*g - 1/1680*g**j - 3/160*g**5 - 1/48*g**4 - 36*g**2 - 1/160*g**6 + 0. Factor q(d).
-d*(d + 1)**2*(d + 4)/8
Suppose -12*o + 11*o + 4*x + 87 = 0, -471 = -7*o + 5*x. Factor 321/2*m - o - 15/2*m**2.
-3*(m - 21)*(5*m - 2)/2
Suppose 0 = -3*o + 2*i + 40 - 3, 0 = 5*o + 2*i - 51. Suppose 8*j - o*j = -5*u + 22, -20 = 5*j. Solve 1/7*g - 1/7*g**3 + 0*g**u + 0 = 0 for g.
-1, 0, 1
Let n(x) be the third derivative of 102*x**2 + 0 + 1/120*x**6 + 0*x - 17/30*x**5 + 289/24*x**4 + 0*x**3. Let n(p) = 0. What is p?
0, 17
Let z = 6 + -4. Suppose -4*b + 2*i - 8 = 0, -b + 4*i - 16 = 2*b. Find j, given that 5*j + b*j - 2*j - 2*j**z - 5*j = 0.
-1, 0
Let h = -2/3307 - -423314/29763. Let j(b) be the first derivative of 2/27*b**3 + 16/9*b**2 + 25 + h*b. Suppose j(y) = 0. Calculate y.
-8
Suppose -g - 1 = 2, -4*a + 5*g + 75 = 0. Suppose -a*r + 8 = -37. Solve -15*y - 10 - 3*y**r + 15 + 3*y**2 + 6*y**3 + 4 = 0 for y.
-3, 1
Let h be (-11 - -10)/(((-1)/4)/((-27)/(-54))). Let u(v) be the second derivative of 0*v**h - 14*v - 1/6*v**4 - 2/3*v**3 + 0. Let u(z) = 0. Calculate z.
-2, 0
Suppose 698*i - 693*i + 3*r = -18, -34 = -4*i + 2*r. Let 12*y - 12*y**2 - 4/3*y**i + 4/3*y**4 + 0 = 0. What is y?
-3, 0, 1, 3
Let g(c) be the first derivative of 2/3*c**3 - 15/2*c**2 + 1/4*c**4 - 36*c - 78. Determine a, given that g(a) = 0.
-3, 4
Let w(i) be the third derivative of -7*i**5/90 - 37*i**4/12 + 136*i**3/9 - 986*i**2 - i. Factor w(s).
-2*(s + 17)*(7*s - 8)/3
Let 807/4*w - 3/4*w**3 - 1071/2 + 69/2*w**2 = 0. What is w?
-7, 2, 51
Let s(i) be the third derivative of 5*i**7/168 - 7*i**6/72 + i**5/12 - 16*i**3/3 - 91*i**2. Let y(f) be the first derivative of s(f). Let y(h) = 0. What is h?
0, 2/5, 1
Find u, given that 782/3*u + 86/3*u**2 + 2/3*u**3 - 1058 = 0.
-23, 3
Suppose -5*y + 85 = 3*a, -4*y = y - 3*a - 115. Suppose -7*d + y*d - 52 = 0. What is b in d*b + 13*b**2 + 4*b**3 - 20*b - b**2 = 0?
-4, 0, 1
Let p(q) = 144*q + 862. Let d be p(-6). Let o be (-15)/50*((-2)/(-3) + d). Factor 0 + 2/5*v**2 + o*v.
2*v*(v + 1)/5
Suppose 10*b - r = 15*b - 14, -3*r + 6 = -3*b. Factor -639*j - 604*j - 432*j**2 - b*j**4 - 1024 - 165*j - 50*j**3.
-2*(j + 1)*(j + 8)**3
Find q such that 121*q - q**4 - 200514 + 83*q**2 + 4*q**3 + 29*q + 200586 = 0.
-6, -1, 12
Let m(v) = -8*v + 34*v + 6326 - 6583 + 21*v. Let z be m(6). Determine k so that 5/2*k**3 + 0 - z*k**2 + 125/2*k = 0.
0, 5
Let u(b) be the second derivative of 2*b**7/35 - 32*b**6/75 + 17*b**5/25 - 4*b**4/15 - 924*b - 1. Solve u(v) = 0 for v.
0, 1/3, 1, 4
Let y(s) be the second derivative of -1/25*s**5 - 1/30*s**4 - 80*s + 0 + 0*s**2 + 0*s**3 - 1/75*s**6. Find l such that y(l) = 0.
-1, 0
Solve 8/5*u + 2/5*u**4 + 22/5*u**2 + 0 - 2/5*u**5 + 18/5*u**3 = 0.
-1, 0, 4
Let t(x) = -19*x - 125. Let c be t(-7). Suppose c*q - 3*q = 39*q. What is p in -1/2*p**2 - 1/4*p**3 + 3/4*p**4 + q*p + 0 = 0?
-2/3, 0, 1
Let a be 672 - 4*(-63)/36. Let v = a - 677. Suppose -1/2*b**3 + 0 + b + 1/2*b**v = 0. Calculate b.
-1, 0, 2
Let w(d) = 14*d**4 + 94*d**3 + 699*d**2 - 739*d - 51. Let n(h) = 5*h**4 + 32*h**3 + 233*h**2 - 246*h - 18. Let c(v) = -17*n(v) + 6*w(v). Factor c(g).
-g*(g - 28)*(g - 1)*(g + 9)
Let s(k) be the first derivative of k**6/240 - k**4/16 - k**3/6 + k**2/2 - 10*k + 80. Let t(q) be the second derivative of s(q). Factor t(z).
(z - 2)*(z + 1)**2/2
Factor -2/3*m**2 + 554/3*m + 560.
-2*(m - 280)*(m + 3)/3
Let k be ((-66)/10 - -4)/((3/(-100))/(180/450)). Determine h so that -36*h + 8/3*h**2 - 20*h**4 + 4/3*h**5 + 52/3 + k*h**3 = 0.
-1, 1, 13
Suppose -3*h - a = 5, -4*a - 2 = 4*h + 2*a. Let b be -3*h/(-24)*-8. Solve 3/7 - 4/7*z + 1/7*z**b = 0 for z.
1, 3
Let z = 496491 - 6454311/13. What is o in 48/13*o + 10/13*o**2 - 12/13*o**3 + 2/13*o**4 - z = 0?
-2, 2, 3
Suppose 7/4*y**5 + 425/4*y**2 - 129/4*y**3 + 61/2*y - 425/4*y**4 + 0 = 0. What is y?
-1, -2/7, 0, 1, 61
Let b(h) be the third derivative of h**8/336 + 3*h**7/50 + 89*h**6/600 + 3*h**5/100 - 11*h**4/60 + 704*h**2. Let b(y) = 0. What is y?
-11, -1, 0, 2/5
Solve -36*f**2 - 1/6*f**3 + 145/2*f - 109/3 = 0.
-218, 1
Let i(j) be the third derivative of j**8/2520 + 47*j**7/27720 - j**6/396 - 3*j**5/20 + j**4/8 - 93*j**2. Let p(b) be the third derivative of i(b). Factor p(f).
2*(4*f + 5)*(11*f - 2)/11
Suppose -5*g + 45 = 10*g. What is r in r**g - 4*r + 86858*r**2 - 86858*r**2 = 0?
-2, 0, 2
Let o(t) = 31*t**3 + 2686*t**2 - 31*t - 2663. Let c(r) = -4*r**3 - 336*r**2 + 4*r + 333. Let l(d) = 46*c(d) + 6*o(d). Let l(j) = 0. What is j?
-330, -1, 1
Let r = 48861 - 48859. Factor 0 - 2/15*s**5 + 12/5*s**4 + 0*s - 54/5*s**3 + 0*s**r.
-2*s**3*(s - 9)**2/15
Let n(a) be the first derivative of -5*a**6/6 + 91*a**5 - 11015*a**4/4 + 30365*a**3/3 - 14740*a**2 + 9680*a - 1418. Factor n(q).
-5*(q - 44)**2*(q - 1)**3
Let b = 127 + -131. Let c be 2 + (-2 + 4 + 0 - b). Solve -c*q + 25*q**2 - 46*q**2 + 17*q**2 = 0 for q.
-2, 0
Let p be ((-21)/(-7) - -10) + -10. Let o(q) be the first derivative of -1/27*q**p + 9 - 1/6*q**2 - 2/9*q. Factor o(u).
-(u + 1)*(u + 2)/9
Let x be (-42)/(-35) + (17 - (-578)/(-40)). Solve -x*q - 3/2 - 3/2*q**2 = 0 for q.
-2, -1/2
Suppose -387 = 4*n - 531. Let c be (n/(-54))/(5/(-6)). Determine t so that 2/5*t**2 - c*t + 2/5 = 0.
1
Let a(i) be the first derivative of i**7/21 - i**6/5 - i**5 - 20*i - 5. Let l(k) be the first derivative of a(k). Let l(s) = 0. What is s?
-2, 0, 5
Let r(l) be the first d