)*(q + 1)
Let j(o) be the third derivative of -o**5/90 - 2377*o**4/180 - 190*o**3/9 - 149*o**2 + 4. Factor j(y).
-2*(y + 475)*(5*y + 2)/15
Let g be (108/(-21))/((-35)/9800*16). Factor -g - 2/5*q**2 + 12*q.
-2*(q - 15)**2/5
Factor -216 - 3094*x**2 + 1240*x**2 - 81*x**3 - 2485*x**2 - 71*x**2 - 1948*x.
-(x + 54)*(9*x + 2)**2
Let x(p) = -2*p**2 + 36*p + 128. Let u(m) = 6*m**2 - 74*m - 257. Let k(o) = -4*u(o) - 10*x(o). Suppose k(c) = 0. What is c?
-9, -7
Factor 0 + 4194/5*i - 2103/5*i**2 + 3/5*i**3.
3*i*(i - 699)*(i - 2)/5
Let w = -265 - -257. Let m be (8/30)/(w/(-5)). What is z in -1/6*z**3 - 1/6 + 1/6*z**2 + m*z = 0?
-1, 1
Let a(h) = 4*h + 49. Let z be a(-21). Let i = z - -37. Factor -8*y**2 + 4*y**3 + 8*y + 9*y**i + 11*y**2.
4*y*(y + 1)*(y + 2)
Let y(z) be the first derivative of -z**6/135 - z**5/30 - z**4/27 + 6*z - 12. Let o(c) be the first derivative of y(c). Factor o(a).
-2*a**2*(a + 1)*(a + 2)/9
Factor 3/7*f**3 + 837/7*f - 153/7*f**2 - 1215/7.
3*(f - 45)*(f - 3)**2/7
Let j(s) = s**2 - 6*s - 7. Let r(l) = l**2 + 1. Let k(x) = 6*x**2 - 66*x - 84. Let c(b) = k(b) + 6*r(b). Let h(m) = -6*c(m) + 68*j(m). Factor h(n).
-4*(n + 1)*(n + 2)
Let u = 403 - 397. Let t be ((-29)/(-116))/(1/u). Determine r, given that -3/2*r**5 - t*r**4 + 0 + 3/2*r**3 + 3/2*r**2 + 0*r = 0.
-1, 0, 1
Let p be (24 - (1551/110 - -19) - (-2)/20) + 11. Solve -1/3*d**p + 0 + 2*d = 0.
0, 6
Let t(h) be the third derivative of -h**6/3780 + 19*h**5/630 - 361*h**4/252 + 5*h**3/6 - 2*h**2 - 12*h. Let j(q) be the first derivative of t(q). Factor j(l).
-2*(l - 19)**2/21
Let h(z) = -277*z + 1662. Let w be h(6). Let l(c) be the second derivative of -1/48*c**4 + w*c**2 + 0 + 18*c + 1/6*c**3. Factor l(m).
-m*(m - 4)/4
Let p(a) be the second derivative of 1/30*a**5 + 1/8*a**4 + 1/360*a**6 + 0*a**2 - 23*a + a**3 + 0. Let s(d) be the second derivative of p(d). Factor s(m).
(m + 1)*(m + 3)
Let i(k) be the second derivative of k**5/40 - k**4/3 + 13*k**3/12 - 3*k**2/2 + 208*k - 5. Factor i(v).
(v - 6)*(v - 1)**2/2
Suppose 44 = 2*o - 3*u - 10, 100 = 4*o - 4*u. Let v(t) be the third derivative of 0*t + 1/4*t**4 - 1/20*t**5 + 0 + 0*t**3 + o*t**2. Factor v(g).
-3*g*(g - 2)
Let v(t) = t**2 + 2*t - 1. Let x be v(-3). Let g = -2326 + 2328. Determine i so that -3*i**2 - 38*i**x - 14*i**g + 10*i = 0.
0, 2/11
Let q(u) = -9*u**2 + 137*u - 458. Let a be q(5). Find k, given that -2/11*k**4 - 10/11*k**a + 12/11 - 10/11*k + 10/11*k**3 = 0.
-1, 1, 2, 3
Let g(z) be the third derivative of -17*z**5/420 + 71*z**4/56 + 52*z**3/21 - 3*z**2 + 1408*z. Factor g(d).
-(d - 13)*(17*d + 8)/7
Let d = 913 - 255. Let i be (-22)/(-297) + d/1323. Suppose -i*q**4 + 0 + 8/7*q + 4/7*q**2 - 8/7*q**3 = 0. What is q?
-2, -1, 0, 1
Let i be 2 - (-5)/((-5)/8). Let n = i - -6. Let 2*z**3 + 6*z**4 + z**4 - 8*z**4 + n*z**3 = 0. What is z?
0, 2
Suppose 459*j + 797*j + 68*j - 234*j = 0. Factor 0*f + 1/6*f**4 + j + 2/3*f**2 + 5/6*f**3.
f**2*(f + 1)*(f + 4)/6
Let h(i) be the first derivative of 3*i**4/20 + 954*i**3/5 + 455058*i**2/5 + 96472296*i/5 + 2825. Factor h(k).
3*(k + 318)**3/5
Let o be (110/90)/((-814)/(-222)). Let 3*u + 14/3 + o*u**2 = 0. What is u?
-7, -2
Let m(b) be the first derivative of -5*b**6/6 + 3*b**5 + 115*b**4/2 - 80*b**3 + 2846. Determine l so that m(l) = 0.
-6, 0, 1, 8
Let n(f) be the third derivative of -f**9/756 - f**8/210 + f**7/70 + 19*f**3/3 - 119*f**2. Let z(l) be the first derivative of n(l). Factor z(k).
-4*k**3*(k - 1)*(k + 3)
Let v(b) be the third derivative of b**8/672 + 19*b**7/1260 + 11*b**6/240 + b**5/40 + 1038*b**2. Determine p, given that v(p) = 0.
-3, -1/3, 0
Let s(o) = -2*o**2 - 45*o - 17. Let m be s(-22). Suppose -552*d**m + 2*d**3 + 2*d**4 - 3*d**2 + d**2 + 550*d**5 = 0. What is d?
-1, 0, 1
Suppose 1932*b - 1931*b - 26 = 2*a, 2*b - 64 = 5*a. Find d, given that 58/7*d - 841/7 - 1/7*d**b = 0.
29
Let b(x) = -13*x**2 + 28*x + 1056. Let s be b(-8). Find k such that 0 - 32/5*k**2 + s*k + 2/5*k**3 = 0.
0, 16
Let g(l) be the first derivative of -l**6/30 - 242*l**5/25 - 5626*l**4/5 - 982288*l**3/15 - 9560488*l**2/5 - 22632992*l - 3937. Suppose g(t) = 0. Calculate t.
-58, -10
Let g be 5 + (-246)/48 - 100/(-32). Solve 11*j + 70*j**2 - 51*j - 2*j**4 + j**4 - 72 + 40*j**g + 3*j**4 = 0.
-18, -2, -1, 1
Let w(z) = -4*z**3 - 116*z**2 - 94*z. Let a(r) = 15*r**3 + 456*r**2 + 375*r. Let q(b) = 6*a(b) + 22*w(b). Factor q(f).
2*f*(f + 1)*(f + 91)
Let w be (3554/(-8885))/((-8)/(-3) - 4). Find k such that w*k**3 - 1/10*k**5 - 1/2*k**2 + 0 + 1/10*k**4 + 1/5*k = 0.
-2, 0, 1
Let q be -39*(28/(-12))/(-7). Let h = 70 + q. Factor -57*l + 0*l**4 - l**4 - l**5 + h*l.
-l**4*(l + 1)
Let n(l) be the first derivative of -11*l**4/32 - 101*l**3/16 - 27*l**2/8 + 123*l + 119. Let j(d) be the first derivative of n(d). Find q such that j(q) = 0.
-9, -2/11
Suppose -35*w = 26198 + 26022. Let v = 1495 + w. Let 110/3*k - 10*k**5 + 85/3*k**4 - 30*k**2 - 40/3*k**v - 35/3 = 0. Calculate k.
-7/6, 1
Let f(s) = 21*s**5 - 66*s**4 - 2*s**3 + 67*s**2 - 17*s. Let z(c) = -3*c**4 - c**3 + 2*c**2 - c. Let b(a) = f(a) + z(a). Determine v so that b(v) = 0.
-1, 0, 2/7, 1, 3
Let p be ((8050/23)/35)/((-10)/(-6)). Let h(x) be the third derivative of 0*x - 39*x**2 + 0*x**3 - 1/24*x**p + 0 - 5/4*x**4 - 5/12*x**5. Factor h(g).
-5*g*(g + 2)*(g + 3)
Let d(u) be the second derivative of -u**6/165 - u**5/110 + u**4/33 - 694*u. Factor d(v).
-2*v**2*(v - 1)*(v + 2)/11
Let b be 114/(-108) + (-665)/(-570). Solve b*h**3 - 13/9*h**2 - 11/9 + 23/9*h = 0.
1, 11
Let g(h) be the first derivative of 0*h + h**4 + 8*h - 20*h + 39 - 2*h**2 + 4*h**3 + 0*h**4. Factor g(l).
4*(l - 1)*(l + 1)*(l + 3)
Let g(v) = v - 8*v**2 + 6*v + 8*v - 11*v. Suppose 0 = -7*p + 3*p - 48. Let u(t) = -t**2 + t. Let j(y) = p*u(y) + 2*g(y). Suppose j(h) = 0. What is h?
-1, 0
Solve 175533765*z**4 - 175533767*z**4 - 89*z**3 - 387*z**3 = 0 for z.
-238, 0
Let h(l) = -35*l + 409. Let w be h(10). Suppose w*o + 67*o = 252. Factor 8 + 4/3*y**o + 28/3*y.
4*(y + 1)*(y + 6)/3
Let r = -697836/5 - -139584. Let c be (-26)/(-10) + (0 - 2). Suppose 34/5*j + r*j**3 + c + 119/5*j**2 - 64/5*j**5 - 176/5*j**4 = 0. What is j?
-3, -1/4, 1
Let h(c) = 6*c**5 - 26*c**4 - 154*c**3 + 26*c**2 + 176*c. Let v(u) = 5*u**5 - 26*u**4 - 156*u**3 + 26*u**2 + 175*u. Let t(l) = -6*h(l) + 7*v(l). Factor t(i).
-i*(i - 1)*(i + 1)*(i + 13)**2
Let j(l) be the first derivative of -4*l**5/35 - 9*l**4/14 + 8*l**3/21 + 36*l**2/7 + 32*l/7 + 6938. Solve j(x) = 0.
-4, -2, -1/2, 2
Let w be 15/(-2) + (3 - -5) + 120/48. Factor 0 - 4/3*n**w + 1/3*n**4 - 5/3*n**2 + 0*n.
n**2*(n - 5)*(n + 1)/3
Let q(n) = -n**2 - 24*n + 25. Let v be q(-23). Let f be (-20)/v*(-32000)/16. Factor 5/3*p**4 + 250*p**2 + f*p + 100/3*p**3 + 3125/3.
5*(p + 5)**4/3
Let i(c) be the second derivative of c**5/60 - c**4/12 + 6*c**2 + 48*c. Let p(h) be the first derivative of i(h). Determine k so that p(k) = 0.
0, 2
Suppose 26*o = 51*o - 22*o. Let k(v) be the third derivative of o + 1/60*v**5 + 0*v + 0*v**3 - 3*v**2 + 1/24*v**4. Solve k(b) = 0 for b.
-1, 0
Determine h, given that -121 - 94*h**2 + 3528*h**3 + 4*h**4 + 200*h - 3536*h**3 + 21 - 2*h**2 = 0.
-5, 1, 5
Let f(s) be the third derivative of -1/126*s**7 - 1/12*s**6 + 0*s**3 - 4 - s**2 + 25/36*s**4 + 0*s - 1/12*s**5. Factor f(q).
-5*q*(q - 1)*(q + 2)*(q + 5)/3
Factor 0 - 1614/11*u - 6/11*u**2.
-6*u*(u + 269)/11
Let l(x) be the first derivative of -x**4/18 - 184*x**3/27 - 2021*x**2/9 + 8836*x/9 - 1754. Factor l(b).
-2*(b - 2)*(b + 47)**2/9
Suppose -67*p = -39*p - 140. Find v such that v**2 - 18*v - v**4 - 2*v**4 + 4*v**3 - 3*v**4 + 2*v**2 + p*v**4 = 0.
-2, 0, 3
Let q = 247467/34 - 123640/17. Find c such that q + 1/4*c**2 + 13/4*c = 0.
-11, -2
Let j(p) = 5645*p - 79028. Let m be j(14). Suppose -3/2*o**m - 51/2 + 27*o = 0. Calculate o.
1, 17
Let t(o) = o**3 - o**2 + o - 1. Let f(x) = x**4 + 5*x**3 - 71*x**2 + 133*x - 68. Let j(p) = -3*f(p) + 15*t(p). Factor j(m).
-3*(m - 7)*(m - 1)**2*(m + 9)
Factor 17686/3*j**2 + 1/3*j**4 - 12060*j + 268/3*j**3 + 6075.
(j - 1)**2*(j + 135)**2/3
Let t(i) be the second derivative of i**7/21 - i**6/5 - 31*i**5/10 + 11*i**4/6 + 26*i**3 - 56*i**2 + 1194*i. Find j, given that t(j) = 0.
-4, -2, 1, 7
Let b be (-28)/(-147) - 74/(-111). Let t(w) be the first derivative of -31 - 10/21*w**3 - 1/14*w**4 - b*w**2 + 0*w.