13*x = 0.
-4, 0, 3
Suppose 78 = 641*y - 602*y. Let n(j) be the third derivative of 0*j - 13*j**2 + 0 - 2/15*j**5 + y*j**3 + 5/6*j**4. Factor n(f).
-4*(f - 3)*(2*f + 1)
Let l(d) be the third derivative of d**8/168 + 3*d**7/35 + d**6/30 - 17*d**5/5 - 33*d**4/4 + 63*d**3 + 4822*d**2. Find m, given that l(m) = 0.
-7, -3, 1, 3
Let l be 2/3 + 77/33. Suppose 0 = -l*i + 21 - 3. What is p in 26*p**5 - i*p**5 + 4*p**3 - 32*p**4 - 2*p**2 + 10*p**2 + 0*p**3 = 0?
-2/5, 0, 1
Let z be 16 - 2542/155 - (-18)/20. Let h(o) be the third derivative of 1/6*o**3 - z*o**4 - 17*o**2 + 0 + 0*o + 3/5*o**5. Solve h(w) = 0.
1/6
Suppose 2*h = 4*o + 186, -5*o - 222 = -2*h - 10*o. Suppose h*r = 15*r + 258. Factor -1/2*w + w**2 + w**r - 1/2*w**4 - 1/2*w**5 - 1/2.
-(w - 1)**2*(w + 1)**3/2
Let k = 589931/3 - 4129385/21. Solve 40/7*y + 4/7*y**3 + k*y**2 + 0 = 0 for y.
-10, -1, 0
Let b be 6 - (34/9 - 16/(-72)). Factor 2*s**3 + s**2 + 4*s**3 - 4*s**b + 0*s**3 - 5*s**3.
s**2*(s - 3)
Suppose -4*k - 11 = -5*o + 25, o - 3*k - 16 = 0. Let y(n) = 27*n - 105. Let l be y(o). Factor 3/4*z + 1/4*z**l - z**2 + 0.
z*(z - 3)*(z - 1)/4
Determine c, given that 8/5 - 2/5*c**4 + 26/5*c + 1/5*c**3 + 21/5*c**2 = 0.
-2, -1, -1/2, 4
Let f(c) = 80*c**3 - 7*c**2 + 12*c - 13. Let h be f(4). Factor 171*v + h - 17*v**2 + 58*v + 17*v + 20*v**2.
3*(v + 41)**2
Let p(v) = -54*v**2 + 891*v - 17307. Let x(i) = 2*i**2 - 2*i - 7. Let f be x(-2). Let c(j) = -13*j**2 + 223*j - 4327. Let s(n) = f*p(n) - 21*c(n). Factor s(h).
3*(h - 38)**2
Factor -202/5 - 203/5*s - 1/5*s**2.
-(s + 1)*(s + 202)/5
Let t(d) be the third derivative of -d**6/24 + 5*d**5/4 + 5*d**4/24 - 25*d**3/2 - 286*d**2. Factor t(n).
-5*(n - 15)*(n - 1)*(n + 1)
Let v(y) be the first derivative of 2*y**3/15 + 11*y**2/5 - 204*y/5 + 2748. Find m, given that v(m) = 0.
-17, 6
Let b(x) be the first derivative of 6 - x**3 + 3*x - 1/4*x**4 + 1/2*x**2. Factor b(d).
-(d - 1)*(d + 1)*(d + 3)
Let p(a) = -a**3 - 5*a**2 - 7*a - 5. Let f be p(-3). Let i be (1*-36)/6 - (f - 6). Factor 13/6*v - 1/6*v**2 - i.
-(v - 12)*(v - 1)/6
Find j, given that -206/13*j + 60/13 - 76/13*j**4 + 212/13*j**3 + 16/13*j**2 - 6/13*j**5 = 0.
-15, -1, 1/3, 1, 2
Factor 6*s**5 - 7668*s**3 + 7658*s**3 - 5*s**5 - 9*s**4.
s**3*(s - 10)*(s + 1)
Let x(j) be the second derivative of -j**4/9 + 70*j**3/3 - 208*j**2/3 + 11*j - 10. Factor x(y).
-4*(y - 104)*(y - 1)/3
Let l(r) be the third derivative of 0*r**3 + 1/10*r**5 + 5*r**2 - 13 + 3/16*r**4 + 0*r. Determine i, given that l(i) = 0.
-3/4, 0
Factor -5*t**3 - t**2 - 2627*t - 9*t**2 + 2667*t.
-5*t*(t - 2)*(t + 4)
Let p = 993 + -990. Let b be (3/105)/(p/15). Factor b*h - 4/7*h**3 + 4/7*h**2 - 1/7.
-(h - 1)*(2*h - 1)*(2*h + 1)/7
Let w(l) be the first derivative of 49*l**5 + 3045*l**4/4 + 3600*l**3 + 4000*l**2 + 6190. What is g in w(g) = 0?
-40/7, -1, 0
Let u = -98999/10 + 49522/5. Solve -u - 15/2*x - 7/2*x**2 - 1/2*x**3 = 0 for x.
-3, -1
Let t(x) be the third derivative of x**7/1260 - 29*x**6/60 + 7741*x**5/90 - 2494*x**4/3 + 29584*x**3/9 - 1333*x**2. Factor t(o).
(o - 172)**2*(o - 2)**2/6
Factor -72 - 101*y**2 - 180*y + 8*y**3 + 57*y**2 + 0*y**3 + 52*y**2 + 12*y**3.
4*(y - 3)*(y + 3)*(5*y + 2)
Let u = 2972/3 + -29711/30. Let w(s) be the first derivative of -9 + 0*s**3 + 3/20*s**4 + 0*s - u*s**2. Factor w(i).
3*i*(i - 1)*(i + 1)/5
Let r(j) = -j**3 + 21*j**2 - 141*j + 1960. Let f be r(19). Factor 108/7 + 0*q**2 - 2/7*q**f + 54/7*q.
-2*(q - 6)*(q + 3)**2/7
Let l(p) = p + 1. Let r(f) = -3*f**2 + 25*f - 20. Suppose -12*g + 17 = -19. Suppose 5*v + 15 = 0, -v = g*c + 2*c + 8. Let t(s) = c*r(s) + l(s). Factor t(y).
3*(y - 7)*(y - 1)
Let a(g) be the second derivative of 2*g**7/21 + 13*g**6/15 - 63*g**5/80 - 25*g**4/24 - 7*g**3/24 - 3482*g. Solve a(h) = 0.
-7, -1/4, 0, 1
Let x(j) be the first derivative of j**6/240 + j**5/40 - 70*j**3/3 - 64. Let l(t) be the third derivative of x(t). What is n in l(n) = 0?
-2, 0
Let d(k) = -40*k + 35. Let s be d(2). Let o be 3/(s/(-84))*75/90. Let 6*n**2 - 8*n + o*n**3 - 8/3 = 0. What is n?
-2, -2/7, 1
Factor -4/9*i**2 - 32/9*i**3 - 4/9*i**4 + 56/3*i + 0.
-4*i*(i - 2)*(i + 3)*(i + 7)/9
Suppose -199*h = 202 - 799. Solve -48/7 + 93/7*i - 6*i**2 - 3/7*i**h = 0 for i.
-16, 1
Let v(g) be the first derivative of -40 - 864/11*g - 2/11*g**3 + 72/11*g**2. Determine o so that v(o) = 0.
12
Let -1815*d - 209*d**2 - 1206 - 375*d**2 - 28*d**2 + 14*d**3 - 17*d**3 = 0. Calculate d.
-201, -2, -1
Let o(y) be the third derivative of -y**8/784 + 6*y**7/245 + 7*y**6/10 + 253*y**5/70 + 477*y**4/56 + 11*y**3 + 1728*y**2. What is r in o(r) = 0?
-7, -1, 22
Let x(j) be the second derivative of -j**5/210 - 2*j**4/21 - 105*j**2/2 - 23*j + 2. Let u(p) be the first derivative of x(p). Factor u(z).
-2*z*(z + 8)/7
Suppose -q + 5*d + 12 + 16 = 0, -d = 3*q - 4. Solve 32*m + 0*m**3 + 15*m**2 - 35*m**2 + 6*m**q - 16 - 2*m**3 = 0.
1, 2
Factor 741*h + 268*h - 5*h**2 + 821*h - 5139 + 3314.
-5*(h - 365)*(h - 1)
Let z(r) = -25*r**3 + 3*r**2 + 6*r + 4. Let d(m) = 3*m**3 - 1 - 403*m - m**2 - 2*m**3 + 402*m. Let a(u) = -4*d(u) - z(u). Solve a(h) = 0.
-1/3, 0, 2/7
Let p(u) = -13*u**4 + 6*u**3 - 9*u**2 - 20*u + 12. Let n(o) = o - 5*o - 7*o**2 + 4 + 6*o**3 - 16*o - 11*o**4 + 0 + 8. Let w(t) = 6*n(t) - 5*p(t). Factor w(m).
-(m - 6)*(m - 1)**2*(m + 2)
Let n be (-18)/3 - (-42 + 22 + 11). Let l(y) be the first derivative of 2/63*y**3 - n + 0*y - 2/7*y**2. Factor l(b).
2*b*(b - 6)/21
Let c be (-16616)/(-16) + (-4)/(-8). Let a = 1041 - c. Solve 1/5*k**3 - 3/5*k + 2/5 + 0*k**a = 0 for k.
-2, 1
Let n(w) be the second derivative of -w**7/42 - 101*w**6/15 - 401*w**5/20 - 50*w**4/3 + 3816*w. Factor n(k).
-k**2*(k + 1)**2*(k + 200)
Let d(x) = -15*x**3 + 428*x**2 + 7*x - 428. Let v(b) = -18*b**3 + 427*b**2 + 8*b - 427. Let s(q) = -5*d(q) + 4*v(q). Solve s(n) = 0 for n.
-1, 1, 144
Let u be 6 + (-6)/(-9)*2*-15. Let p(c) = 2*c**3 - 2*c**2 + 31*c + 32. Let d(f) = 5*f**3 - 6*f**2 + 63*f + 64. Let s(z) = u*p(z) + 6*d(z). Factor s(k).
2*(k - 8)*(k + 2)**2
Let m be 7*(-3 + 96/28). Find j, given that 6*j - 5*j**3 + 38 + 8*j**m - 38 - 9*j**2 = 0.
0, 1, 2
Let v(t) be the second derivative of t**9/1008 - 3*t**7/280 + t**6/60 + 28*t**3/3 + t**2 - 106*t. Let m(k) be the second derivative of v(k). Factor m(s).
3*s**2*(s - 1)**2*(s + 2)
Let k(u) = u**2 - 20*u + 22. Let l be k(19). Let p = -97/399 - -22/57. Suppose 5/7*n**2 + p*n**l + n + 3/7 = 0. What is n?
-3, -1
Factor -82*z + 176*z + 5*z**2 + 78*z + 408*z + 1140.
5*(z + 2)*(z + 114)
Let u be (-268)/(-22) - (-10)/(-55). Let b be u/(-45)*20/(-24)*3. Let 0 + b*d**2 - 2/3*d = 0. Calculate d.
0, 1
Let r be 2/10 - (-75)/(23625/(-18)). Let m(h) be the first derivative of -1/21*h**6 + 0*h**2 + 39 + 0*h**3 + r*h**4 + 2/35*h**5 + 0*h. Solve m(x) = 0 for x.
-1, 0, 2
Suppose 12 + 0 = 4*u - 4*q, 5*u + 3*q + 1 = 0. Let m be 1*u/(-3)*-6. Factor -1 + 144*k - 4*k**4 + 1 + 52*k**3 + 1688*k**m - 1880*k**2.
-4*k*(k - 6)**2*(k - 1)
Let x be (-164)/(-60) - 2932/(-10995). Let 0 + 4/5*z**5 + 4/5*z - 5*z**2 + 42/5*z**x - 5*z**4 = 0. Calculate z.
0, 1/4, 1, 4
Let m(w) be the second derivative of w**6/120 + 11*w**5/40 + 43*w**4/16 + 9*w**3/2 - 1848*w. Factor m(x).
x*(x + 1)*(x + 9)*(x + 12)/4
Factor 0 + 2/7*v**4 - 118/7*v - 114/7*v**3 - 234/7*v**2.
2*v*(v - 59)*(v + 1)**2/7
Let q(u) be the second derivative of -u**5/16 + 305*u**4/48 - 3152*u. Factor q(g).
-5*g**2*(g - 61)/4
Suppose -8862 = -42*n - 24234. Let w = -366 - n. Find j, given that w - 3/5*j + 9/5*j**2 = 0.
0, 1/3
Let p(y) = -y**3 + y**2 - 13*y + 1. Let s(f) = -4*f**3 - 6*f**2 - 50*f + 24. Let q(o) = -3*p(o) + s(o). Solve q(v) = 0 for v.
-7, -3, 1
Factor 18 - 165/2*q + 39/2*q**2.
3*(q - 4)*(13*q - 3)/2
Let u(h) = h**2 - 1. Let w(i) = 3*i**2 + 3*i - 6. Let q(j) = -12*u(j) + 3*w(j). Let f(o) = 10*o**2 - 29*o + 19. Let c(x) = 2*f(x) + 7*q(x). Factor c(r).
-(r - 4)*(r - 1)
Let n(o) = 115*o**2 + 2445*o - 58215. Let f(g) = -g**3 - 114*g**2 - 2451*g + 58220. Let s(j) = 5*f(j) + 6*n(j). Find b, given that s(b) = 0.
-22, 23
Let f = -17 - -19. Factor 48*a**2 + 50*a**2 - 110*a**f - 2 + 3*a - 9*a**3 + 8.
-3*(a + 1)**2*(3*a - 2)
Let p(k) = 3*k + 27*k**2 + 2 - 13*k + k**3 - 30*k**2. Let d be p(5). Factor -8*x + 0*x**d + 5*x**2 + 0*x - 2*x.
5*x*(x - 2)
Let k = 676 + -345. Let d = 334 - k. Factor 0*i**2 - 1/9*i**d + 1/9*i + 0.
-i*