 derivative of -r**5/15 - 161*r**4/6 - r**2 + 364. Factor a(x).
-4*x*(x + 161)
Let o(x) be the second derivative of -529*x**7/14 - 4646*x**6 - 50055*x**5/4 - 14965*x**4/2 + 3610*x**3 - 516*x**2 + 8*x - 26. Let o(j) = 0. What is j?
-86, -1, 2/23
Let t(c) = c + 7. Let w be t(17). Factor 4*g**2 + g + w*g**3 - 10 + 6*g**2 - 25*g**3.
-(g - 10)*(g - 1)*(g + 1)
Determine a, given that 16675 - 16195 + 4*a**5 - 668*a**3 - 957*a - 209*a + 1512*a**2 - 258*a + 96*a**4 = 0.
-30, 1, 2
Factor 1/6*u**3 - 2/3*u**2 + 2/3*u + 0.
u*(u - 2)**2/6
Let l(u) be the first derivative of 20*u**5 - 51 - 1/2*u**2 - 19/3*u**3 - 20*u**4 + 0*u. Solve l(d) = 0 for d.
-1/10, 0, 1
Let r(w) be the second derivative of -w**6/2700 + 7*w**5/225 + 29*w**4/180 + w**3 - 3*w**2/2 + w - 26. Let o(f) be the second derivative of r(f). Factor o(y).
-2*(y - 29)*(y + 1)/15
Let j = -63 - -67. Let -44*p**3 + 32*p**4 + 8*p**2 + 18*p**5 - 92*p**4 + 42*p**j + 16*p = 0. Calculate p.
-1, -2/3, 0, 2/3, 2
Let k = -36/79 - -151/158. Let f(d) be the second derivative of 0*d**2 + k*d**5 - 5/12*d**4 - 1/6*d**6 + 0*d**3 + 0 + 4*d. Let f(h) = 0. What is h?
0, 1
Find i, given that -24*i**2 + 0 - 3/2*i**3 - 165/2*i = 0.
-11, -5, 0
Suppose 15 = 2*g + 3*v, -v - 9 = -5*g + v. Determine c so that -23*c**2 + 137*c**4 + 49*c**5 - 18*c**4 + 30 - 26 - 16*c + 67*c**g = 0.
-1, 2/7
Solve 92*s**2 + 1/2*s**3 - 371/2*s + 93 = 0 for s.
-186, 1
Let l(t) be the third derivative of t**8/10080 + t**7/280 - t**6/36 - 11*t**5/12 - 3*t**2. Let g(d) be the third derivative of l(d). Factor g(q).
2*(q - 1)*(q + 10)
Let 286*r**2 + 290*r**2 - 705190*r**3 + 705193*r**3 = 0. What is r?
-192, 0
Let k be -1 + 72/12 - (0 - -5). Let f(b) be the first derivative of -1/22*b**4 + k*b**2 - 15 + 0*b + 2/33*b**3. Solve f(u) = 0 for u.
0, 1
Let y(j) be the third derivative of j**8/672 - j**7/60 + j**6/40 + 106*j**2 - 11. Factor y(x).
x**3*(x - 6)*(x - 1)/2
Find o, given that 29*o**3 - 1149*o - 8222 + 26447 - 324*o**2 + 25*o**3 - 711*o + 3*o**4 - 3810*o = 0.
-15, 3, 9
Let y(c) be the second derivative of -10/19*c**4 + 2*c + 12/19*c**3 + 0*c**2 - 8 + 5/38*c**5. Suppose y(d) = 0. Calculate d.
0, 6/5
Suppose -4*x - 111*h - 21 = -116*h, 2*x = -3*h + 39. Factor x*u**2 + 1/2 - 13/4*u - 9/4*u**3.
-(u - 2)*(3*u - 1)**2/4
Let m be 3/9 - 5560/(-24). Determine a so that 6*a**2 + 3*a**3 - 18*a + m - 256 + 6*a = 0.
-2, 2
Let f = -61 + 83. Let g = 46 - f. Let 8*r**2 - 36*r**3 - 10*r**4 + r + 0*r + g*r**5 - 10*r + 21*r + 2 = 0. Calculate r.
-1, -1/3, -1/4, 1
Let p(o) be the first derivative of 1/34*o**4 + 0*o**2 + 2/51*o**3 + 57 + 0*o. Factor p(l).
2*l**2*(l + 1)/17
Let x = 272 + -800. Let z be ((-1)/2)/(4*55/x). What is p in -3/5*p - 3/5*p**3 + 0 - z*p**2 = 0?
-1, 0
Let b(s) = -s**2 + 8*s. Let d(m) = 4*m**2 + 428*m - 446. Let a(h) = 2*b(h) + d(h). Factor a(c).
2*(c - 1)*(c + 223)
Let g = 2128687 + -2650216351/1245. Let t = -8/249 - g. Factor 0 + 0*z + t*z**5 - 4*z**3 - 4/5*z**4 - 12/5*z**2.
4*z**2*(z - 3)*(z + 1)**2/5
Let w be 46/11 + (-2018)/11099. Factor 27/5*v - 7/5*v**w - 2*v**3 + 18/5*v**2 - 1/5*v**5 - 27/5.
-(v - 1)**2*(v + 3)**3/5
Let u be ((-16)/6)/(92/(-69)). Solve -3*z**2 + 16*z - 14 - 16*z**2 + 17*z**u = 0.
1, 7
Let o be 0 + 2/(-8)*((35 - 74) + 39). Factor o*v**3 + 8/3 + 2/9*v**4 - 2*v**2 + 8/9*v.
2*(v - 2)**2*(v + 1)*(v + 3)/9
Let f(k) be the first derivative of -109 + 0*k + 0*k**2 - 1/22*k**4 - 2/55*k**5 + 4/33*k**3. What is p in f(p) = 0?
-2, 0, 1
Suppose -27*j - 19272 = -3*j. Let u = 806 + j. Factor -10/3*x + 4/3 - 2/3*x**u + 8/3*x**2.
-2*(x - 2)*(x - 1)**2/3
Let t(g) be the third derivative of -g**5/60 - 383*g**4/12 - 146689*g**3/6 + 598*g**2. Factor t(c).
-(c + 383)**2
Let p(u) = 80*u**3 + 284*u**2 + 288*u + 80. Let a(l) = -73*l**3 - 284*l**2 - 289*l - 72. Let i(v) = 2*a(v) + 3*p(v). Factor i(k).
2*(k + 1)**2*(47*k + 48)
Let x(p) be the first derivative of -p**7/3360 - p**6/480 + p**4/24 + p**3 + 49*p**2/2 + 6. Let u(q) be the third derivative of x(q). Factor u(s).
-(s - 1)*(s + 2)**2/4
Let r(k) be the first derivative of 40 + 4*k**4 + 2/3*k**6 - 8/3*k**3 - 8*k + 16/5*k**5 - 10*k**2. Factor r(c).
4*(c - 1)*(c + 1)**3*(c + 2)
Let z(n) be the second derivative of n**7/840 - n**6/30 + 25*n**4/12 + 11*n + 2. Let p(l) be the third derivative of z(l). Find v such that p(v) = 0.
0, 8
Let v(p) be the third derivative of -p**6/780 - 2*p**5/5 - 52*p**4 - 10816*p**3/3 - 5*p**2 - 91*p. Find x, given that v(x) = 0.
-52
Let o = -145 + 144. Let g be (-22)/(o - (-28)/(-12)). Solve 57/5*l**3 + 6/5*l - g*l**2 + 0 - 39/5*l**4 + 9/5*l**5 = 0.
0, 1/3, 1, 2
Find j such that -321/7*j**3 + 3/7*j**4 + 127488/7 + 936*j**2 - 49344/7*j = 0.
8, 83
Let g(t) be the third derivative of -t**5/12 + 1085*t**4/8 - 1625*t**3/3 - 2911*t**2. Determine v so that g(v) = 0.
1, 650
Let f = -293555 + 293723. Determine l so that 84/11*l**3 - 2/11*l**4 - f*l - 88 - 794/11*l**2 = 0.
-1, 22
Let m be 0*(4/8)/(-2 - -1). Suppose -2*a - 3*a - 14 = -3*h, m = 5*h + 4*a - 11. Factor -3/2*k**h + 0 - 3/2*k + 3*k**2.
-3*k*(k - 1)**2/2
Factor 0*s**4 - 2/7*s**5 - 32/7*s**2 + 0 + 24/7*s**3 + 0*s.
-2*s**2*(s - 2)**2*(s + 4)/7
Suppose 0 = 5*j - 9*h + 11*h + 9226, -5*j = -5*h + 9240. Let z = -5537/3 - j. Factor -4*g**2 + 0 - z*g**3 - 12*g.
-g*(g + 6)**2/3
Suppose 12*w = 20 - 32. Let d be (-2 + (42/9 - 3))/w. Suppose -4/3*g**4 - 2/3*g**3 + 3*g + 4*g**2 + 0 + d*g**5 = 0. What is g?
-1, 0, 3
Let c = 27013/2831 + -1359/149. Factor 0 + c*g + 2/19*g**3 + 10/19*g**2.
2*g*(g + 1)*(g + 4)/19
Factor 1009*g - 647*g - g**3 - 1597*g - 845 - 1068*g - 1556 + 97*g**2.
-(g - 49)**2*(g + 1)
Suppose 4*a - 2074 = -2*c, a - 496 = -0*a + 4*c. Factor -16*s + a + 12*s**3 - 16*s**2 + 4*s**5 + 16*s**4 - 516.
4*s*(s - 1)*(s + 1)*(s + 2)**2
Let g be (5040/27)/(-10)*(62 + -146). Suppose 2800*c - 2020/7*c**3 - 920*c**2 - 4/7*c**5 - 160/7*c**4 - g = 0. Calculate c.
-14, 1
Let j = 0 - -10. Let c be 6/(-4)*(-20)/15*j. Determine t so that -t**3 + 525*t**4 - 530*t**4 + 6*t**3 + c*t**2 - 20*t = 0.
-2, 0, 1, 2
Let t(y) = 5*y**3 + 23*y**2 + 80*y - 100. Let v be (-12)/((-96)/40) + -1*9. Let w(x) = -9*x**3 - 45*x**2 - 160*x + 200. Let n(r) = v*w(r) - 7*t(r). Factor n(k).
(k - 1)*(k + 10)**2
Factor 292/15*s**2 - 2/15*s**3 + 0 - 10658/15*s.
-2*s*(s - 73)**2/15
Determine n, given that -8/9*n - 154/9 + 2/9*n**2 = 0.
-7, 11
Let n(s) = -3*s**4 + 25*s**3 + 31*s**2 - 25*s - 38. Let c(y) = -4*y**4 + 24*y**3 + 32*y**2 - 24*y - 40. Let x(b) = -5*c(b) + 6*n(b). Factor x(m).
2*(m - 1)*(m + 1)**2*(m + 14)
Let f = -456 + 501. Let a be 8 - (-62)/f*-5. Let 10/9*t**5 - 4/9*t**4 + 0 - a*t**3 + 4/9*t**2 + 0*t = 0. Calculate t.
-1, 0, 2/5, 1
Let v(h) be the first derivative of -2*h**3/3 - 9*h**2 - 5257. Factor v(a).
-2*a*(a + 9)
Let o(v) be the second derivative of -2*v**7/21 + 4*v**6/5 - 9*v**5/5 + 4*v**4/3 + 3*v + 480. Factor o(t).
-4*t**2*(t - 4)*(t - 1)**2
Find q, given that -60*q**3 + 448*q**4 + 860*q - 808*q**4 + 365*q**4 + 662 + 163 - 30*q**2 = 0.
-3, -1, 5, 11
Let i(j) be the first derivative of 0*j + 25/4*j**4 + 4*j**5 + 10/3*j**3 + 5/6*j**6 + 161 + 0*j**2. Factor i(m).
5*m**2*(m + 1)**2*(m + 2)
Let k be (891875/(-55) - 0) + 3. Let t = 16224 + k. Factor -t*v**3 + 14/11*v**4 - 108/11 + 342/11*v**2 - 270/11*v.
2*(v - 3)**3*(7*v + 2)/11
Let f = -2868202/7 - -409754. Find h such that -64/7*h**3 + 10/7*h**4 - f*h + 16/7 + 114/7*h**2 = 0.
2/5, 1, 4
Let b(g) be the third derivative of -g**5/150 - g**4/4 + 16*g**3/15 - 414*g**2. Factor b(c).
-2*(c - 1)*(c + 16)/5
Factor -177*d**2 + 132*d**2 - 123*d**2 - 170*d**3 - 2*d**4.
-2*d**2*(d + 1)*(d + 84)
Let u(c) be the second derivative of -7/4*c**3 + 0 + 120*c + 1/2*c**4 - 3/2*c**2. Factor u(q).
3*(q - 2)*(4*q + 1)/2
Let y(z) be the second derivative of -z**7/441 - 4*z**6/315 + 13*z**5/35 - 100*z**4/63 + 187*z**3/63 - 20*z**2/7 - 354*z + 1. Find j such that y(j) = 0.
-12, 1, 5
Let j = -86 - -91. Suppose j*o - 5 = 5. Factor -3*x**3 + x**5 + 2*x**4 + 5*x**o - 7*x**2 + 2*x**5 + 0*x**4.
x**2*(x - 1)*(x + 1)*(3*x + 2)
Let x(c) = c**4 - c**2 + c + 1. Let o(l) = -232 + 4*l**4 + 463 + 6*l - 225 + 4*l**3 - 8*l**2. Let z(s) = -o(s) + 6*x(s). Factor z(w).
2*w**2*(w - 1)**2
Let a(d) = -13*d**3 - 3*d**2 - 6*d - 1. Let b be a(-3). Let -126*z**4 + 49*z**5 - 8*z**2 + 325 - 48*z**3 - b - 235*z**3 + 84*z = 0. Calculate z.
-1, 2/7, 4
Let