*u**2 - 449576960*u - 1333. Factor k(z).
5*(z - 448)**3
Suppose 69 - 202 = -32*v - 69. Solve -6*n - 3/2 - 3/8*n**5 - 57/8*n**3 - 75/8*n**v - 21/8*n**4 = 0.
-2, -1
Let k be 33/(-726)*-110 - 1*(-4)/(-2). Factor 0*h + 4/3*h**4 + 0*h**2 + 0 - 8/3*h**k.
4*h**3*(h - 2)/3
Let z(x) = x**4 - 7*x**3 - 22*x**2 + 22*x - 9. Let f(t) = -2*t**4 + 24*t**3 + 66*t**2 - 66*t + 28. Let k(u) = -3*f(u) - 10*z(u). Solve k(g) = 0.
-3, 1/2, 1
Let x(y) = -y**2 + 20*y + 17*y - 36*y - 1. Let i(s) = 8*s**2 + 20*s + 12. Let p(f) = i(f) + 12*x(f). Factor p(t).
-4*t*(t - 8)
Let l(z) be the first derivative of 3*z**5/25 + 51*z**4/10 + 213*z**3/5 + 24*z**2 - 780*z + 3440. Let l(j) = 0. Calculate j.
-26, -5, 2
Suppose -171165 = 107*t - 34954. Let z = t + 2581/2. Solve -45/2*c**2 + 8*c**4 + z*c - 3 + 0*c**3 = 0.
-2, 1/4, 3/4, 1
Suppose 36*h - 68*h = -31*h. Let m(u) be the second derivative of 0 + 1/14*u**7 + 0*u**2 + 0*u**5 + 0*u**3 + h*u**4 + 13*u + 0*u**6. Factor m(y).
3*y**5
Let v(c) = c. Let b(w) = 2*w - 94 - 26*w - 24*w - w**2 - 58*w + 18*w. Let q(a) = 3*b(a) - 21*v(a). Suppose q(p) = 0. What is p?
-94, -1
Suppose 4*x - 14*x = -30. Find q such that -12*q - 9*q**3 + 101*q**4 + 18*q**2 - 357*q**4 + 62*q**2 - 55*q**x = 0.
-3/4, 0, 1/4
Let z(p) be the third derivative of -1/4*p**3 - 1/20*p**5 + 75*p**2 - 1/160*p**6 - 5/32*p**4 + 0*p + 0. Factor z(o).
-3*(o + 1)**2*(o + 2)/4
Let n(y) = -12*y**2 - 14532*y - 4657538. Let r(g) = -4*g**2 - 4858*g - 1552513. Let i(d) = 3*n(d) - 10*r(d). Determine x so that i(x) = 0.
-623
Let w = 763603/7 - 109086. Suppose -w*y**2 - 3/7*y + 18/7 = 0. What is y?
-6, 3
Let s = 1109 - 1071. Suppose -19*q + 133 - s = 0. Factor -2/5*z**4 + 1/5*z - 1/5*z**q + 2/5*z**2 + 0*z**3 + 0.
-z*(z - 1)*(z + 1)**3/5
Let w(a) be the third derivative of a**8/20160 - 47*a**7/5040 + 19*a**5/30 - a**3/2 - 67*a**2. Let h(d) be the third derivative of w(d). Factor h(f).
f*(f - 47)
Let q(h) be the second derivative of 18 + 3/10*h**4 + 2*h + 0*h**3 + 0*h**2 + 4/25*h**6 + 39/100*h**5 + 1/70*h**7. Find g, given that q(g) = 0.
-6, -1, 0
Let 36*x**3 + 50*x**2 - 66*x**2 + 4*x**4 - 39*x - 105*x = 0. What is x?
-9, -2, 0, 2
Let x be (-10 - -11) + 2*-2. Let u(i) = i**3 + 3*i**2 + 4. Let h be u(x). Factor h*j + 10/3 + 2/3*j**2.
2*(j + 1)*(j + 5)/3
Let f(l) = -11*l**2 - 630*l + 15. Let c(v) = 2*v**2 - v - 3. Let k(o) = -10*c(o) - 2*f(o). Factor k(x).
2*x*(x + 635)
Suppose -62*y + 60*y - 42 = -2*g, 0 = g + 3*y + 3. Suppose 10*n**2 - 5/4*n**3 - 95/4*n + g = 0. Calculate n.
1, 3, 4
Let f(h) = -3*h**3 - 3*h**2 - 4*h. Let n be f(-3). Let c = n - 64. Factor -52*p**2 + 6*p + 3 + 26*p**2 + 29*p**c.
3*(p + 1)**2
Let o(b) be the second derivative of -b**7/1260 - b**6/360 + 25*b**4/12 + 53*b. Let v(h) be the third derivative of o(h). Solve v(n) = 0.
-1, 0
Let s(z) = -5*z**3 - z + 1. Let d(q) = 12*q**4 + 1596*q**3 + 3772*q**2 + 2676*q + 544. Let l(r) = -d(r) + 8*s(r). Find n, given that l(n) = 0.
-134, -1, -1/3
Let q(i) be the second derivative of -i**5/24 - 625*i**4/8 - 234375*i**3/4 - 87890625*i**2/4 - 280*i - 2. Let q(t) = 0. Calculate t.
-375
Suppose -5*v - 6*x = -10*x - 20, 10 = 2*x. Solve 6*m**4 + 288*m - 4 - 139*m - 141*m - v*m**3 - 2*m**4 = 0 for m.
-1, 1
Let n be ((-1505)/(-7))/((-5)/140*-4). Suppose 6*h**4 - n*h**3 - 2*h**5 - 2*h**2 + h**5 + 1506*h**3 - 4*h**4 = 0. Calculate h.
-1, 0, 1, 2
Let v(w) be the second derivative of -175/36*w**4 + 7/12*w**5 - 130/9*w**3 + 0 + 5/126*w**7 - 50/3*w**2 - 107*w + 11/18*w**6. What is q in v(q) = 0?
-10, -1, 2
Let c(i) = -i**4 + 2*i**3 - 5*i**2 - 1. Let w(z) = -7*z**4 + 35*z**3 - 181*z**2 + 221*z - 108. Let l(t) = 24*c(t) - 3*w(t). Factor l(r).
-3*(r - 4)*(r - 1)**2*(r + 25)
Let b(l) be the second derivative of l**9/5040 - 3*l**8/2240 - l**4/6 - 37*l**3/2 + 12*l + 3. Let z(j) be the third derivative of b(j). Factor z(x).
3*x**3*(x - 3)
Let k(v) be the third derivative of v**7/70 - 9*v**5/4 - 5*v**4 + 42*v**3 - 3180*v**2. Let k(n) = 0. Calculate n.
-6, -2, 1, 7
Suppose 3*j + 15 = v, -2*j = -3*v - 0*j + 10. Let a be (-1 - 1) + v + 4. Suppose 6*q**2 + 2 - 3*q - 4*q**a + 2*q**2 - 3*q**2 = 0. What is q?
1, 2
Let f = 371727/2602138 + 1/371734. Factor f*t**3 + 3*t**2 + 0 + 0*t.
t**2*(t + 21)/7
Let c be 3 + (-48)/63 + -2 + (-468)/(-4914). Let p(r) be the third derivative of -c*r**4 - 1/30*r**5 + 4/3*r**3 - 25*r**2 + 1/60*r**6 + 0*r + 0. Factor p(k).
2*(k - 2)*(k - 1)*(k + 2)
Factor -64/5 + 1/5*t**3 - 17/5*t**2 + 16*t.
(t - 8)**2*(t - 1)/5
Let p(n) be the first derivative of -n**4/4 + 86*n**3/3 - 1152*n**2 + 18144*n - 6947. Factor p(d).
-(d - 36)**2*(d - 14)
Let y(z) be the second derivative of 0*z**3 + 0*z**2 + 136*z + 17/70*z**5 + 0 - 8/21*z**4 - 1/105*z**6. Find u such that y(u) = 0.
0, 1, 16
Factor 214*r - 372*r - 15 + 2*r**3 - 33*r**2 + 204*r.
(r - 15)*(r - 1)*(2*r - 1)
Let f(u) be the first derivative of -u**6/2 + 6*u**5/5 + 27*u**4/4 - 2*u**3 - 12*u**2 - 826. Let f(y) = 0. What is y?
-2, -1, 0, 1, 4
Let c be 394180/(-1560) - (-2 + 1)/(-6). Let p = c + 253. Factor 6/13*l + 0 + p*l**2.
2*l*(l + 3)/13
Let f = 194986 - -210040. Factor 15*g**2 - f*g + 405026*g + 5*g**3 + 6 - 26.
5*(g - 1)*(g + 2)**2
Let h = -556347 + 556351. Let -6*g**5 + 57/2*g**2 - 51/2*g**3 + 15/2 - 36*g**h + 63/2*g = 0. Calculate g.
-5, -1, -1/2, 1
Let c = 12129867/8 + -1516231. Factor -1/8*m**2 - 17/4 + c*m.
-(m - 17)*(m - 2)/8
Suppose -106/15*z**4 + 0 - 728/15*z**3 + 0*z - 338/15*z**2 - 4/15*z**5 = 0. Calculate z.
-13, -1/2, 0
Suppose 489*u - 137*u**2 + 56 + 3*u**3 - 22 - 277 - 136*u**2 + 24*u**2 = 0. Calculate u.
1, 81
Let o(f) be the first derivative of 0*f - 79 + 5/6*f**6 + 10*f**4 + 6*f**5 + 0*f**3 + 0*f**2. Determine d so that o(d) = 0.
-4, -2, 0
Suppose -260*z**3 + 70*z**2 - 215*z**4 + 15419*z - 15419*z - 25*z**5 + 70*z**2 = 0. What is z?
-7, -2, 0, 2/5
Let w(g) be the first derivative of -32/5*g - 16 + 4/15*g**3 + 4/5*g**2. Factor w(d).
4*(d - 2)*(d + 4)/5
Let k be 5984/6*3/14. Let r = k + -212. Factor -r*y**2 - 2/7*y**3 - 18/7*y + 0.
-2*y*(y + 3)**2/7
Let -21858 + 2104*z + 109084*z**3 + 44*z**5 + 3426 + 21240*z + 4304*z**4 + 40400*z + 187000*z**2 = 0. What is z?
-48, -1, 2/11
Let -5/4*g**3 + 0 + 15/4*g - 37/2*g**2 = 0. What is g?
-15, 0, 1/5
Let t(o) be the first derivative of 4*o**5/15 - 11*o**4/3 - 508*o**3/9 + 22*o**2/3 + 168*o + 6596. Determine c, given that t(c) = 0.
-7, -1, 1, 18
Let x(n) = -11826*n + 82784. Let m be x(7). Factor 54/11*h**m + 0 + 24/11*h**3 + 28/11*h - 2/11*h**4.
-2*h*(h - 14)*(h + 1)**2/11
Let v = -260064 + 1820452/7. Factor -4/7 - v*b**2 + 8/7*b.
-4*(b - 1)**2/7
Let i(c) be the first derivative of -c**4/8 - 2*c**3/3 + 19*c**2/4 - 7*c + 1782. Factor i(z).
-(z - 2)*(z - 1)*(z + 7)/2
Factor -536/11*a**3 - 2/11*a**4 - 1596/11*a**2 - 1592/11*a - 530/11.
-2*(a + 1)**3*(a + 265)/11
Let j(d) = -20*d**2 + 1114*d + 2396. Let o(h) = -4*h**2 + 224*h + 480. Let f(r) = -2*j(r) + 11*o(r). Determine t so that f(t) = 0.
-2, 61
Let d be ((-44)/6)/(15/1260). Let o = 618 + d. Find c such that -6/5 + 9/5*c**o - 3/5*c - 3/5*c**4 + 3/5*c**3 = 0.
-1, 1, 2
Let q(v) be the third derivative of v**9/90720 + v**8/7560 - v**7/2520 - v**6/60 - 5*v**5/2 + 219*v**2. Let i(j) be the third derivative of q(j). Factor i(r).
2*(r - 2)*(r + 3)**2/3
Let g(o) be the first derivative of -3*o**3/4 + 111*o**2/8 - 9*o - 161. Factor g(h).
-3*(h - 12)*(3*h - 1)/4
Suppose -480 + 2309 = 59*j. Let p(g) be the second derivative of 38/9*g**3 + 11/15*g**5 + j*g + 26/9*g**4 + 0 + 8/3*g**2. Factor p(r).
4*(r + 1)**2*(11*r + 4)/3
Let u(d) be the first derivative of d**4/8 - 1745*d**3/6 + 3487*d**2/4 - 1743*d/2 + 8217. Factor u(w).
(w - 1743)*(w - 1)**2/2
Let w(o) = 5*o**2 - 212*o + 215. Suppose 8*a + 126 = 110. Let v(c) = -21*c**2 + 846*c - 861. Let u(q) = a*v(q) - 9*w(q). Factor u(l).
-3*(l - 71)*(l - 1)
Suppose 152 = x + 132. Let f be (-70)/x*(-12)/21. Factor -1/2*k**3 - k**f + 0*k + 0.
-k**2*(k + 2)/2
Let j(l) be the first derivative of -l**2 + 35*l - 6. Let k be j(8). What is p in 20*p**3 + 288*p**2 - 245 + 9*p**3 + 768*p + 3*p**4 + k*p**3 + 1013 = 0?
-4
Let l(c) be the first derivative of -1/26*c**4 - 4/13*c - 5/13*c**2 - 8/39*c**3 - 27. Factor l(m).
-2*(m + 1)**2*(m + 2)/13
Solve 24000 + 108*o**2 - 1631445 - 5670*o - 223*o**2 + 110*o**2 = 0.
-567
Let i(n) be the second derivative of n**4/138 + 247*