4*p = 4*j, -3*p - j = p - c. Factor p*n**2 + 3 + 7*n - 8 + 5*n**3 - 12*n.
5*(n - 1)*(n + 1)**2
Suppose -q + 66*d = 71*d + 27, 5*d = -4*q - 18. Let g(l) be the third derivative of 0*l + 0*l**q + 0 + 3/50*l**5 + 4*l**2 + 1/10*l**4 + 1/100*l**6. Factor g(j).
6*j*(j + 1)*(j + 2)/5
Let o(q) be the first derivative of -q**6/27 - 126*q**5/5 - 13348*q**4/3 + 161312*q**3/27 + 303. Solve o(c) = 0.
-284, 0, 1
Find a such that 0*a + 3/2*a**5 + 65/4*a**4 + 0*a**2 + 0 - 77/2*a**3 = 0.
-77/6, 0, 2
Let 1806*t**2 - 5345344 + 2239*t**2 - 4*t**3 + 5678*t**2 - 5336096*t - 479*t**2 = 0. Calculate t.
-1, 1156
Let w be 7/20 - 185/740. Let l(x) be the second derivative of -w*x**6 + 0*x**2 - 1/14*x**7 + 0 - 11*x + 0*x**3 + 1/4*x**4 + 3/20*x**5. Factor l(n).
-3*n**2*(n - 1)*(n + 1)**2
Determine x, given that -332 - 995/3*x + 1/3*x**2 = 0.
-1, 996
Let a(m) be the second derivative of -m**4/21 - 16*m**3/21 + 160*m**2 + 8882*m. Factor a(g).
-4*(g - 20)*(g + 28)/7
Suppose -5*j + 20 = 2*b, -2*b + 4 = -4*j + 2. Suppose -3*s = -u + 1, -5*s - 8 = -2*u - b. Factor 11*c**2 + c**u - c**2 - 7*c**2 + 4*c**3.
c**2*(c + 1)*(c + 3)
Let y(g) = 2*g**4 + 16*g**3 - 13*g - 5. Let b(s) be the first derivative of -3*s**5/5 - 25*s**4/4 + 10*s**2 + 8*s - 78. Let o(w) = 5*b(w) + 8*y(w). Factor o(t).
t*(t - 1)*(t + 2)**2
Factor 0 + 2/5*d**4 - 36/5*d + 16/5*d**3 - 22/5*d**2.
2*d*(d - 2)*(d + 1)*(d + 9)/5
Let x(j) = j**2 + 13*j - 26. Let a(b) = -b**2 + 2*b - 1. Let g = 541 - 542. Let v(c) = g*x(c) - 4*a(c). Factor v(q).
3*(q - 5)*(q - 2)
Let y = 53 - 31. Suppose 4*z = -3*j + 49 - 17, 2*j + 3*z = y. Find k, given that 9*k**4 - 6*k**4 + 2*k**5 + 5*k**4 + 12*k**3 + 2*k + j*k**2 = 0.
-1, 0
Let f(x) be the first derivative of x**4/12 - 133*x**3/3 + 13333*x**2/2 - 39601*x/3 - 5747. Factor f(o).
(o - 199)**2*(o - 1)/3
Factor 5811 - n + n**3 - 5750 + 89*n**2 - 150*n**2.
(n - 61)*(n - 1)*(n + 1)
Factor 6*p**3 + 71*p - 4*p**3 - 36*p**2 - 2*p + 2*p**3 + 108 - p**3.
3*(p - 9)*(p - 4)*(p + 1)
Let g = 237358/3 + -79119. Factor b**2 + 2/3*b**3 + 0*b - g.
(b + 1)**2*(2*b - 1)/3
Let h(j) be the third derivative of 113*j**2 - 5/36*j**4 + 0 + 0*j + 25/9*j**3 + 1/360*j**5. Find o such that h(o) = 0.
10
Let w(y) = 3*y**4 + 8*y**3 - 6*y**2 - 2*y - 3. Let o(a) = -a + 18 - 3 - 5 - 9. Let p(h) = -30*o(h) - 5*w(h). Suppose p(i) = 0. Calculate i.
-3, -1, 1/3, 1
Let m be -3*1322/660*5. Let q = 336/11 + m. Factor n**3 + 1/2 - n**2 + q*n**4 - 1/2*n - 1/2*n**5.
-(n - 1)**3*(n + 1)**2/2
Let k(i) be the third derivative of i**8/336 + 61*i**7/42 - 307*i**6/60 + i**5/30 + 613*i**4/24 - 307*i**3/6 + 4816*i**2. Factor k(j).
(j - 1)**3*(j + 1)*(j + 307)
Suppose q + 12 = 2*v - 0*q, -3*v + 4*q + 23 = 0. Let n be (-7)/v + (-16)/(-17 + 9). Factor -t**3 - 4/5*t**2 + 0 + n*t**4 + 4/5*t.
t*(t - 2)*(t + 1)*(3*t - 2)/5
Let u be (-828)/(-5382) - 973/(-182). Factor -53/4*g + 7*g**2 + 3/4*g**3 + u.
(g - 1)*(g + 11)*(3*g - 2)/4
Factor 2*t**2 - 2/11*t**4 + 0*t + 0 - 20/11*t**3.
-2*t**2*(t - 1)*(t + 11)/11
Let t(m) be the first derivative of -m**5/4 + 5*m**3/12 + 185. Solve t(x) = 0 for x.
-1, 0, 1
Let i(y) = 13*y**2 - 51*y + 5. Let h(o) = -3 - 8*o**2 + 16*o + 12*o - 3*o. Let s(f) = 5*h(f) + 3*i(f). Let s(t) = 0. Calculate t.
-28, 0
Let a be 61 + 8*(-16767)/2208. Determine o so that 33*o + 1089 + a*o**2 = 0.
-66
Let t(z) = -4*z - 13. Let u be t(-4). Let 8*v**u - 2 - 34*v**2 + 943*v - 6 - 903*v = 0. Calculate v.
1/4, 2
Let y be (18/(-5388))/((-117)/11635). Let r = y + 1/898. Suppose 5/6*t - 1/2*t**2 - r = 0. What is t?
2/3, 1
Let j(r) = r**2 - 6*r - 43. Let n(c) = 4*c**2 - 20*c - 128. Let k be -4*((2 - 4) + 22/8). Let v(b) = k*n(b) + 8*j(b). Determine a so that v(a) = 0.
-2, 5
Suppose 661506*k = 661544*k. Factor k*c**2 - 2/5*c**4 - 4/5*c + 2/5 + 4/5*c**3.
-2*(c - 1)**3*(c + 1)/5
Factor -50/3 + 1/3*c**2 - 23/3*c.
(c - 25)*(c + 2)/3
Suppose -182 - 58 = 8*t. Let a = -28 - t. Determine b so that 4 - b**4 + 2*b**a - 6 + 1 = 0.
-1, 1
Solve 399/4*i - 393 - 3/8*i**2 = 0.
4, 262
Solve 368/3*u**3 - 31/3*u**5 - 1264/3*u**2 + 64/3*u**4 - 64/3 + 1072/3*u = 0 for u.
-4, 2/31, 2
Suppose -394 = -24*r + 21*r - 2*k, -3*r - 3*k + 399 = 0. Factor -39*t + 4*t**3 - r + 171*t**2 + 167*t - 211*t**2.
4*(t - 4)**2*(t - 2)
Suppose -29 = -2*k - 125. Let h = 50 + k. Factor 1 + 0*p**2 + h*p**2 + 52*p - 60*p + 7.
2*(p - 2)**2
Determine b, given that 3/5*b**5 + 801/5*b**3 - 117/5*b**4 + 6837/5*b**2 + 5544/5*b - 13068/5 = 0.
-3, 1, 22
Let t(h) be the third derivative of h**6/24 - 3*h**5/2 - 125*h**4/6 + 220*h**3 - 1764*h**2 + 2*h. Determine d, given that t(d) = 0.
-6, 2, 22
Suppose 123/8*i**4 + 0 - 33/8*i**2 + 21/2*i**5 + 0*i**3 + 3/4*i = 0. Calculate i.
-1, 0, 1/4, 2/7
Suppose -280 - 2183*c + 6347*c - 2223*c - 56*c**2 - 4*c**3 - 2177*c = 0. What is c?
-7, -5, -2
Factor 968/15 - 6/5*w**3 - 388/15*w**2 - 2002/15*w.
-2*(w + 11)**2*(9*w - 4)/15
Let b(p) be the third derivative of 40*p**2 + 0*p - 1 - 1/8*p**4 + 1/40*p**5 + 3/160*p**6 - 1/896*p**8 + 0*p**3 - 1/560*p**7. Determine h so that b(h) = 0.
-2, 0, 1, 2
Suppose -q = -4*b + 38, 71 = -3*q - 2*b - 1. Let x be (1/(3/(-2)))/(q + 24). Suppose 0 + 0*t + x*t**2 + 0*t**3 - 1/3*t**4 = 0. What is t?
-1, 0, 1
Let g be 45/(-20)*(-5)/(120/(-6272)). Let p = g + 588. Suppose p + 1/7*a**5 + 4/7*a**3 + 0*a + 0*a**2 + 4/7*a**4 = 0. What is a?
-2, 0
Factor -4*y**4 - 259 - 120*y**3 + 4099 - 177*y**2 - 2624*y - 567*y**2 - 348*y**2.
-4*(y - 1)*(y + 8)**2*(y + 15)
Let n(x) be the third derivative of x**8/168 + 71*x**7/210 + 797*x**6/120 + 997*x**5/20 + 1335*x**4/8 + 225*x**3 - 38*x**2. Solve n(c) = 0.
-15, -3, -2, -1/2
Suppose -41*g = 50*g + 167*g - 774. Factor 1/7*i**5 + 3/7*i**2 - 5/7*i**g + 0 + 4/7*i - 3/7*i**4.
i*(i - 4)*(i - 1)*(i + 1)**2/7
Let j be (808/80 - 10)/(2/(-76)). Let t = -161/45 - j. Factor -2/9*p**4 - 2/9*p**3 + 2/9*p**5 + 0 + 0*p + t*p**2.
2*p**2*(p - 1)**2*(p + 1)/9
Let o(g) be the first derivative of -22*g**3/9 + 199*g**2/6 - 3*g - 1229. Factor o(c).
-(c - 9)*(22*c - 1)/3
Let j(f) = 11*f + 91. Let v be j(-8). Solve 784*l**2 - 40*l**v + 645*l**3 + 1116*l + 4*l**5 - 1116*l + 116*l**4 + 291*l**3 = 0 for l.
-14, -1, 0
Let p(c) be the second derivative of -c**5/130 - 3*c**4/26 - 14*c**3/39 + 24*c**2/13 + 2811*c. Factor p(n).
-2*(n - 1)*(n + 4)*(n + 6)/13
Let m = -500 + 505. Let b(c) = 116*c - 578. Let u be b(m). Solve -1 - 1/4*w**u + w = 0 for w.
2
Let h be 1/(6720/1016) + (-6)/(-7) + -1. Let l(n) be the third derivative of 0 - 1/72*n**4 + 0*n**3 + 1/315*n**7 + 0*n + h*n**6 - n**2 + 0*n**5. Factor l(x).
x*(x + 1)**2*(2*x - 1)/3
Let i(u) = u**2. Suppose 4*o + 58 = 2*w, 2*w + 2*o = -2*w + 146. Let t(p) = 2*p**2 - w + 2*p + 36 + 3*p**2. Let g(a) = -4*i(a) + t(a). What is h in g(h) = 0?
-1
Let x(p) be the first derivative of -p**5/20 - 29*p**4/8 + 109*p**2 - 71. Let t(i) be the second derivative of x(i). What is h in t(h) = 0?
-29, 0
What is j in -4*j**4 + 21/2*j - 1/2*j**5 - 10*j**3 + 9 - 5*j**2 = 0?
-3, -2, -1, 1
Let r(g) = -g**3 - 6*g**2 - 8*g - 45. Let u be r(-6). Let -145*t - u*t**3 - t**3 + 141*t - 8*t**2 = 0. Calculate t.
-1, 0
Factor 1372*u**2 - 1352 - 1222*u - 1198*u**2 + 25*u**4 - 45*u**4 + 22*u**4 + 46*u**3.
2*(u - 4)*(u + 1)*(u + 13)**2
Let -2/5*j**5 + 6/5*j**4 + 36/5*j**3 + 0 - 48/5*j + 8/5*j**2 = 0. Calculate j.
-2, 0, 1, 6
Let 485118438*m + 240810*m**3 + 1049403750 + 1144869*m**2 + 17581731*m**2 + 3*m**5 + 76084437*m + 1386*m**4 = 0. What is m?
-115, -2
Let b be 291/5 + 42*((-6479)/434 - -15). Factor b*p**2 - 6/5*p**3 + 29478/5 - 5202/5*p.
-6*(p - 17)**3/5
Let m(j) be the third derivative of 3*j**7/35 + 7*j**6/8 - 3*j**5/5 - 35*j**4/8 + 3*j**3 + j**2 + 759*j. What is q in m(q) = 0?
-6, -1, 1/6, 1
Let o(c) = 2*c**4 - 17*c**3 - 23*c**2 - 10*c. Let m(b) = 8*b**4 - 52*b**3 - 71*b**2 - 32*b. Let i(q) = 6*m(q) - 21*o(q). Let i(x) = 0. Calculate x.
-6, -1, -1/2, 0
Let j(c) be the second derivative of 2/15*c**6 - c + 8/3*c**3 + 7 - 3/5*c**5 + 0*c**2 + 0*c**4. Factor j(f).
4*f*(f - 2)**2*(f + 1)
Let g be (-80333)/(-13266) + (-14)/9. Solve 31/4*u**2 - 21/4*u**3 - g*u**4 + 0*u - 1 = 0.
-2, -1/3, 1/2, 2/3
Determine t so that -741*t**3 + 23162*t**5 + 740*t + 16*t + 450*t**2 - 23177*t**5 + 198*t**4 - 648 = 0.
-1, 1, 6/5, 6
Factor 295*b + 121*b - 10221485 + 10221365 + 14*b**2.
2*(b + 30)*(7*b - 2)
Let v be (-6)/14 - (1/7)/(66/(-594)). Wh