 Factor 4*c**4 - 14*c + 12*c**3 - 2*c - 2 - 4*c - 3*c**i + 10*c - 1.
(c - 1)*(c + 3)*(2*c + 1)**2
Let y = 395314 + -8301560/21. Find z, given that y*z**2 + 2/21*z**3 + 4/3*z - 64/21 = 0.
-16, -2, 1
Let b(y) be the third derivative of 53*y**5/20 - 211*y**4/32 - y**3/8 + 3*y**2 + 163. What is s in b(s) = 0?
-1/212, 1
Let c = -1058/5 + 1321/10. Let t = c + 319/4. Find q, given that -5/2 - 7/4*q - t*q**2 = 0.
-5, -2
Suppose -160 = -22*c - 18*c. Let o be (1 - (c - -2))*(-6)/15. Factor -4/9 - 2/9*a**o + 2/3*a.
-2*(a - 2)*(a - 1)/9
Let j = -20323 + 20323. Let j + 2/5*d**3 - 14/5*d + 12/5*d**2 = 0. What is d?
-7, 0, 1
Let j be 3 - ((-48)/36)/((-4)/18). Let y be -1 - (-2 - j - 4). Determine f so that 16 + 0*f**4 + 43*f**2 - 19*f**y + 2*f**4 - f**4 - 32*f - 8*f**3 = 0.
2
Factor -77 - 1/2*g**2 - 25/2*g.
-(g + 11)*(g + 14)/2
Let d be ((2 + -28)/3120)/(4/(-10)). Let t(v) be the second derivative of -15*v - d*v**4 + 1/24*v**3 + 0 + 0*v**2. Factor t(m).
-m*(m - 1)/4
Determine u, given that 20/7*u**2 + 36/7*u + 1/7*u**3 + 0 = 0.
-18, -2, 0
Let s be (-2 + 4/2)*1/1. Let r(n) = -n**2 + 3*n + 30. Let i be r(7). Factor s + 2/7*f + 1/7*f**i.
f*(f + 2)/7
Let d(s) be the third derivative of -2*s**7/525 - 7*s**6/150 + 23*s**5/25 - 113*s**4/30 + 104*s**3/15 - 35*s**2 + 10*s. Let d(o) = 0. What is o?
-13, 1, 4
Let t be (-16)/80 - (-15224)/(-5). Let j = t + 57869/19. Factor -2/19*y**2 - j - 16/19*y.
-2*(y + 1)*(y + 7)/19
Suppose -p = -3*r - 53, 105 = 2*p - 5*r - 4. Suppose 0 = 70*k - p*k - 32. What is a in -8/7*a**3 - 4/7*a**5 + 8*a**2 - 36/7 - 20/7*a**k + 12/7*a = 0?
-3, -1, 1
Let j = 23302/19 - 93075/76. Factor 15/4*y**2 + 0 + 1/4*y**4 + 9/4*y + j*y**3.
y*(y + 1)*(y + 3)**2/4
Let m(c) = -3036*c + 39470. Let a be m(13). Factor 6*d - 1/8*d**a - 72.
-(d - 24)**2/8
Let d(z) be the first derivative of -z**2 + 16*z + 23. Let a be d(6). Factor 18*p**a + 16*p**4 + 2*p**5 - 34*p**4 - 2*p**3.
2*p**3*(p - 1)*(p + 1)
Suppose y + 4*j + 40 = 18, -2*y = -j - 10. Let t(d) be the third derivative of -16/3*d**3 - 4*d**y - 3/10*d**5 + 2*d**4 + 0*d + 0. Determine p so that t(p) = 0.
4/3
Let q(t) = -39*t**5 + 1330*t**4 + 4272*t**3. Let f(b) = 10*b**5 - 332*b**4 - 1068*b**3. Let x(o) = 23*f(o) + 6*q(o). What is g in x(g) = 0?
-3, 0, 89
Suppose -189 = -3*t - 138. Factor -13*i**3 + 45 - 21*i**3 + 75*i + 56*i**3 - t*i**3 + 35*i**2.
5*(i + 1)*(i + 3)**2
Let y(n) = n**2 - 64*n + 540. Let u be y(54). Let k be u - ((-18)/30 - 2/(-10)). Factor 0 - k*j**2 + 4/5*j.
-2*j*(j - 2)/5
Suppose 0 = -t + 8, 4 + 4 = -265*d + 261*d + 3*t. Find c, given that 11/2*c**2 + 0 + 2*c**d - c - 13/2*c**3 = 0.
0, 1/4, 1, 2
Let a(u) = 15*u**3 - 190*u**2 + 1070*u + 10. Let k(o) = 7*o**3 - 97*o**2 + 536*o + 4. Let i(p) = -2*a(p) + 5*k(p). Factor i(h).
5*h*(h - 12)*(h - 9)
Suppose 0 = -8*c - 52 + 68. Let x(n) = -25*n**4 - 67*n**3 - 20*n**2 + 20*n - 4. Let j(l) = l**3 + 2. Let g(d) = c*j(d) + x(d). Suppose g(k) = 0. Calculate k.
-2, -1, 0, 2/5
Let j = 6 - 3. Suppose 2*a - i = j*a + 5, 10 = -3*a - 2*i. Factor 0*q**3 + 4/5*q + a - 16/5*q**4 + 12/5*q**2.
-4*q*(q - 1)*(2*q + 1)**2/5
Let c be -1 + 0 - 3*-1. Let s(i) = -2*i**2 + 32*i + 842. Let z be s(30). Solve 9*g**z + 20*g - 5*g**2 + c - 14*g = 0.
-1, -1/2
What is r in -10*r**2 + 20*r**2 - 11*r**2 + 1546*r - 13*r**2 - 597529 + 13*r**2 = 0?
773
Let t(z) be the first derivative of -5*z**7/42 + z**5/4 + 25*z + 38. Let c(x) be the first derivative of t(x). Factor c(n).
-5*n**3*(n - 1)*(n + 1)
Let n(z) be the third derivative of 0*z + 1/840*z**6 - 15/14*z**3 + 0 + 13/56*z**4 - 35*z**2 - 11/420*z**5. Factor n(m).
(m - 5)*(m - 3)**2/7
Let x = -81 - -100. Factor -285*u - 8*u**3 - 5*u**3 - u**4 + 275*u + 5*u**3 + x*u**2.
-u*(u - 1)**2*(u + 10)
Let p(x) be the second derivative of -x**9/68040 - x**8/840 - x**7/35 - 16*x**4/3 - 220*x. Let v(q) be the third derivative of p(q). Factor v(s).
-2*s**2*(s + 18)**2/9
Let c(b) = -9*b + 1175. Let g be c(126). Let d(s) be the first derivative of 20*s - g - 10*s**2 + 5/4*s**4 - 5/3*s**3. Solve d(m) = 0 for m.
-2, 1, 2
What is s in -955*s**2 + 328*s**2 + 2696164 + 319*s**2 + 312*s**2 - 6568*s = 0?
821
Let r(p) = p**2 + 2*p + 1. Let m(t) = -11*t**2 - 2*t + 114. Let l(f) = m(f) + 6*r(f). Factor l(w).
-5*(w - 6)*(w + 4)
Suppose 6*a = 17*a + 17*a - 84. Let z(w) be the first derivative of 14/15*w**a - 25 - 1/20*w**4 + 0*w - 49/10*w**2. Factor z(l).
-l*(l - 7)**2/5
Let i(l) be the third derivative of l**5/12 - 5*l**4/4 + 20*l**3/3 + 23*l**2. Factor i(x).
5*(x - 4)*(x - 2)
Let f = 75064 + -374672/5. Factor f*o + 2/15*o**3 + 36/5*o**2 + 3888/5.
2*(o + 18)**3/15
Factor -19/6*f**2 + 3*f + 0 + 1/6*f**3.
f*(f - 18)*(f - 1)/6
Let d be (-1)/(-2) + -3*4671/(-6). Factor 715*z + 313*z**3 + 375*z**3 + 4*z**5 + 2048 + 88*z**4 + 2869*z + d*z**2.
4*(z + 2)**3*(z + 8)**2
Let v(a) be the third derivative of a**8/24 + 44*a**7/105 + 61*a**6/60 - 14*a**5/15 - 17*a**4/3 - 16*a**3/3 - 309*a**2. Suppose v(z) = 0. What is z?
-4, -2, -1, -2/7, 1
Let a(f) = f**2 + 4*f - 187. Let o be a(-16). Let q(s) be the first derivative of 1/3*s**2 + s**3 + 0*s + 1/4*s**4 - 4/15*s**5 - o. Factor q(k).
-k*(k - 2)*(k + 1)*(4*k + 1)/3
Factor 15*p**3 + 43*p**3 - 423 + 6*p**2 - 56*p**3 - 57 - 136*p**2 + 608*p.
2*(p - 60)*(p - 4)*(p - 1)
Let b(l) be the second derivative of 35*l**4/12 + 310*l**3/3 - 90*l**2 - 31*l - 11. Factor b(v).
5*(v + 18)*(7*v - 2)
Let z(f) = -3*f**3 - 87*f**2 - 56*f + 789. Let g be z(-28). Find u, given that 20/7*u**4 - 20/7*u**2 - 18/7*u + 0 + 2/7*u**g + 16/7*u**3 = 0.
-9, -1, 0, 1
Let h(p) be the third derivative of p**5/60 + 55*p**4/72 + 34*p**3/9 + 46*p**2 + 6*p. Factor h(b).
(b + 17)*(3*b + 4)/3
Let r be -1 + 2*7250/(-20). Let i = -724 - r. Factor 0 - 3/2*o + 1/2*o**i.
o*(o - 3)/2
Let c(l) = -23*l**4 - 74*l**3 - 59*l**2 + 360*l + 524. Let u(i) = -15*i**4 - 50*i**3 - 40*i**2 + 240*i + 350. Let b(o) = 5*c(o) - 8*u(o). Factor b(a).
5*(a - 2)*(a + 2)*(a + 3)**2
Let o(l) be the first derivative of 3*l**2 - 3/2*l**4 + 2/3*l**3 - 124 + 0*l - 2/5*l**5. Factor o(n).
-2*n*(n - 1)*(n + 1)*(n + 3)
Let c(z) = 5*z**3 - z - 2. Let n(m) = -4*m**3 - 139*m**2 + 139*m + 2. Let h(t) = 2*c(t) + 2*n(t). Factor h(s).
2*s*(s - 138)*(s - 1)
Suppose 0 = -3*z - 3*f - 33, 0*z + 5*z - 5*f + 35 = 0. Let p = 39 + z. Solve 52*k**2 - 3*k**3 + p*k - 11 - 55*k**2 - 13 = 0 for k.
-4, 1, 2
Let a = 333 - 324. Solve h - 47*h**2 + 33*h**4 + 125*h**3 + 4 - 14*h**5 - 8*h - a*h + 199*h**4 + 94*h**5 = 0 for h.
-2, -1, -2/5, 1/4
Factor -1484/3 + 1484/3*r**2 + 2/3*r**3 - 2/3*r.
2*(r - 1)*(r + 1)*(r + 742)/3
Let t(b) be the third derivative of 1/60*b**5 + 0 + 7/2*b**3 - 14*b + 9*b**2 + 5/12*b**4. Factor t(f).
(f + 3)*(f + 7)
Factor -63*q + 256*q - 66*q - 814*q**2 - 68*q - 63*q.
-2*q*(407*q + 2)
Let c(g) be the first derivative of g**5/2 + 235*g**4/12 + 115*g**3/6 - 52*g + 23. Let x(n) be the first derivative of c(n). What is u in x(u) = 0?
-23, -1/2, 0
Let c(g) = 12*g - 540. Let t be c(45). Let h(o) be the second derivative of -5*o**2 + 5/12*o**4 + 11*o + 5/6*o**3 + t. Solve h(d) = 0.
-2, 1
Determine s, given that -4715*s**2 + 1187*s**2 - 420 + s**3 + 496*s + 1147*s**2 + 1161*s**2 + 1143*s**2 = 0.
1, 6, 70
Let n(j) be the third derivative of -j**7/11 + 333*j**6/110 - 622*j**5/55 + 315*j**4/22 - 17*j**3/11 - 72*j**2 + 42*j. Find p, given that n(p) = 0.
1/35, 1, 17
Suppose 16 = -3*c - c + 4*y, -2*y + 20 = -5*c. Let h be (12/20)/(c/(-4)). Let -h*j**2 - 27/5 - 18/5*j = 0. Calculate j.
-3
Let w(h) be the third derivative of h**8/112 + h**7/35 - 3*h**6/10 - 2*h**5 - 4*h**4 - 18*h**2 + 7. Factor w(r).
3*r*(r - 4)*(r + 2)**3
Let o(r) = -9*r**4 - 12*r**3 + 94*r**2 - 220*r + 95. Let q(g) = -3*g**4 - 3*g**3 + 31*g**2 - 73*g + 32. Let n(x) = -4*o(x) + 13*q(x). Factor n(b).
-3*(b - 4)*(b - 1)**2*(b + 3)
Let v(k) be the third derivative of -k**8/56 - 4*k**7/105 + 2*k**6/15 + k**5/5 - 5*k**4/12 - 2*k**3/3 - 2170*k**2. Solve v(j) = 0 for j.
-2, -1, -1/3, 1
Let t(g) = g**2 + 33*g + 265. Let p be t(-19). Let s(c) = 69*c + 71. Let a be s(p). Factor 1/7*h**a + 8/7*h + 1.
(h + 1)*(h + 7)/7
Let f = 6297/890 + -603/89. What is l in -13/10*l + f*l**3 - 1/5*l**2 - 4/5 = 0?
-1, 8/3
Let w(n) be the third derivative of n**8/1008 + n**7/126 - n**6/90 - n**5/9 - 811*n**2. Find x, given that w(x) = 0.
-5, -2, 0, 2
Let b(c) be the first derivati