e of -y**5/210 + 15*y**4/28 + 94*y**3/21 + 1168*y**2. Factor h(s).
-2*(s - 47)*(s + 2)/7
Factor x**3 + 307/3*x**2 + 208/3 - 518/3*x.
(x - 1)*(x + 104)*(3*x - 2)/3
Suppose 120 = 12*c - 7*c. Suppose -c = -5*j + u, 5*j + 7*u - 2*u = 30. Factor 4/13*d**4 + 0*d**2 + 0*d**3 + 0 - 2/13*d**j + 0*d.
-2*d**4*(d - 2)/13
Let s(a) be the third derivative of -a**6/160 - 107*a**5/20 + 1291*a**4/32 - 431*a**3/4 + 8700*a**2. Solve s(j) = 0 for j.
-431, 1, 2
Let g(f) be the first derivative of -f**6/10 + 12*f**5/25 + 27*f**4/20 - 32*f**3/5 - 42*f**2/5 + 144*f/5 - 12580. Determine z, given that g(z) = 0.
-2, 1, 3, 4
Factor 7*o**3 - 12*o**3 + 2*o**2 + 16*o - 8*o**2 + 96 + 4*o**3.
-(o - 4)*(o + 4)*(o + 6)
Let u(b) = b + 125 + 3*b + 16*b - b**2. Let d be u(25). Factor 0*q + d + 4/9*q**2 + 2/9*q**3.
2*q**2*(q + 2)/9
Let r(v) be the second derivative of -14*v**2 + 2/3*v**3 - 1/5*v**5 + 6 + 7/3*v**4 + 2*v. Solve r(s) = 0.
-1, 1, 7
Factor -4*s**2 - 2*s**2 - 210 - 2*s**3 - 8*s**2 + 165*s - 27*s + 88*s.
-2*(s - 7)*(s - 1)*(s + 15)
Let s be (-3)/(-90)*4/(-24)*-6. Let x(v) be the first derivative of 20 - s*v**3 + 1/20*v**4 - 1/20*v**2 + 0*v. Determine t so that x(t) = 0.
-1/2, 0, 1
Suppose -c = -5*l + 8, 3*c + 1 = 5*l - 3. Let r be (1/(-3))/(5/(-30)). Factor -c*x**2 - 2*x + 4*x + r*x - 2*x.
-2*x*(x - 1)
Let p(i) = -11*i + 16. Let z = -50 + 36. Let q be p(z). Solve -3 - 168*h**2 - 5 - 6*h + q*h**2 = 0 for h.
-1, 4
Let f(h) = h**3 - 10*h**2 + 512*h - 5751. Let z be f(11). Solve 6*t**z + 15/8*t + 27/4*t**3 + 3/8*t**5 + 3*t**4 + 0 = 0 for t.
-5, -1, 0
Let k be 14/2 - ((-2)/14 - (-9614)/5313). Determine f, given that -22/3*f**2 - 50/3 + 35*f - 89/3*f**3 + 24*f**4 - k*f**5 = 0.
-1, 1, 5/4, 2
Let w(m) = 4*m + 40. Let o be w(-7). Suppose 2*g - o = -2*g + 2*s, 3*s - 7 = g. Find i, given that 28 + 10*i**4 + 5*i - 28 - 10*i**2 - g*i**5 = 0.
-1, 0, 1
Let u(g) = -40*g - 53. Let x be u(-8). Let v be x/44 + (-138)/(-759). Let -v + 1/4*z**3 + 15/4*z + 9/4*z**2 = 0. What is z?
-5, 1
Let n(o) be the second derivative of -o**4/78 + 74*o**3/39 - 213*o**2/13 + 5*o + 2. Factor n(y).
-2*(y - 71)*(y - 3)/13
Suppose -3*r - 10 = -0*y - 5*y, 3*y - 5*r = 6. Let j be (12 + -15)/((-3)/y). Solve v + 0*v + 2*v**2 + 5*v - j*v - 6 = 0 for v.
-3, 1
Let r = -141223 - -988601/7. Factor n**2 - r*n - 12/7.
(n - 6)*(7*n + 2)/7
Let t(p) be the second derivative of p**5/20 - 23*p**4/6 - 52*p**3 - 4049*p. Factor t(j).
j*(j - 52)*(j + 6)
Suppose -18*g + 10*g + 40 = 0. Factor 2*i**3 - 3*i + 2*i**2 - 11*i**2 + 4*i**2 + g*i.
i*(i - 2)*(2*i - 1)
Suppose -3*q - q + 2*v = -2, -4*v = -12. Solve -3*f**3 + 25*f**2 + 0*f**3 + q*f**2 - 108*f + 9*f**2 = 0.
0, 6
Determine m, given that 33/4*m**2 + 255/4 - 1/4*m**3 - 287/4*m = 0.
1, 15, 17
Suppose 2*m - 3*m = 2*c - 20, 0 = 2*m - 5*c - 4. Let p be ((-24)/(-45))/(-2) - m/(-20). Factor 0*w + 0*w**2 + 0*w**3 + 0 - p*w**4.
-w**4/3
Find c, given that 10*c**2 + 58*c**2 - 182*c + 326*c - 74*c**3 + 2*c**4 = 0.
-1, 0, 2, 36
Let r(x) be the third derivative of -x**5/330 + 31*x**4/44 + 666*x**3/11 - 10336*x**2. Determine s so that r(s) = 0.
-18, 111
Factor 25*s**2 - 55*s**3 + 23*s**2 + 9*s**2 - 17*s**4 - 40*s**4 + 44*s - s**5 + 12*s.
-s*(s - 1)*(s + 1)**2*(s + 56)
Let p be ((-5)/1 + 9)*6/8. Let -16*u**2 - 182*u**4 + 12*u**p + u**2 + 191*u**4 - 6*u = 0. Calculate u.
-2, -1/3, 0, 1
Determine z so that 24*z**2 + 187*z**4 + 75*z**3 - 363*z**4 + 185*z**4 - 84*z + 71*z**2 - 23*z**2 = 0.
-7, -2, 0, 2/3
Let f(l) be the first derivative of 3*l**5/20 - 3*l**4/2 + 4*l**3 + 12*l + 37. Let b(p) be the first derivative of f(p). Factor b(i).
3*i*(i - 4)*(i - 2)
Let c(l) be the second derivative of -3*l**7/14 - 2*l**6/3 - 5*l**5/12 + 5*l**4/12 + 22*l**2 + l + 2. Let w(i) be the first derivative of c(i). Factor w(b).
-5*b*(b + 1)**2*(9*b - 2)
Let k = -37 - -67. Suppose 7*h - k = -2*w + 2*h, 0 = -4*h + 8. Factor 2*l**4 - 12*l**3 + 5*l**2 - 75*l + 69*l + l**4 + w*l**2.
3*l*(l - 2)*(l - 1)**2
Let z(f) be the first derivative of 72/7*f**2 + 1/21*f**4 - 2 + 8/7*f**3 - 18*f. Let q(i) be the first derivative of z(i). Suppose q(y) = 0. What is y?
-6
Let t(s) be the third derivative of -s**5/45 - 127*s**4/9 - 506*s**3/9 - 79*s**2 + 18. Factor t(b).
-4*(b + 1)*(b + 253)/3
Let o = 312 - 615/2. Let a = o - 61/14. Factor 1/7*z**3 - 1/7*z + 1/7 - a*z**2.
(z - 1)**2*(z + 1)/7
Let s(c) be the third derivative of 0 + 20/3*c**3 + 7/12*c**5 + 15/4*c**4 - 11*c - 3*c**2 - 1/8*c**6. Factor s(m).
-5*(m - 4)*(m + 1)*(3*m + 2)
Suppose 0 = -o - o - 48. Let m = o - -33. Suppose -12 + 26*l**3 - 23*l**3 + 21*l**2 - m*l**4 - 2*l**5 - l**5 = 0. Calculate l.
-2, -1, 1
Let u = -528 + 530. Factor 9 + p**u - 3 - 6*p - p**2 - 2*p**2 + 14.
-2*(p - 2)*(p + 5)
Let h be 4/(-10) + (-5516)/(-8865). Let l(u) be the first derivative of -1/6*u**4 + h*u**3 + 8 + 0*u + 2/45*u**5 - 1/9*u**2. Determine m, given that l(m) = 0.
0, 1
Let h(r) be the second derivative of -r**8/1344 - r**7/210 - r**6/96 - r**5/120 - 105*r**2/2 + r + 30. Let o(m) be the first derivative of h(m). Factor o(d).
-d**2*(d + 1)**2*(d + 2)/4
Let u = -2835/4 - -170101/240. Let l(h) be the third derivative of 0*h - 9*h**2 - u*h**6 + 1/120*h**5 + 1/6*h**4 + 0 - h**3. Let l(g) = 0. Calculate g.
-3, 2
Let x(t) = 9*t**3 + t**2 - 21*t - 27. Let f(j) = -5*j**3 + 11*j + 14. Suppose 10*o + 273 = 203. Let l(n) = o*f(n) - 4*x(n). Factor l(u).
-(u - 2)*(u + 1)*(u + 5)
Let o(h) be the third derivative of h**6/120 + 4*h**5/15 + 19*h**4/8 + 4*h**3 + 116*h**2. Let y be o(-11). Factor 1/6*c**3 + 2/3*c**y - 1/2*c - 3.
(c - 2)*(c + 3)**2/6
Let r(o) be the first derivative of -36*o**2 - 129 + 4/5*o**5 + 0*o**4 - 44/3*o**3 - 32*o. Suppose r(w) = 0. Calculate w.
-2, -1, 4
Let i(h) be the second derivative of -5/12*h**4 + 1/60*h**5 + 0 + 0*h**2 - 8/9*h**3 - 131*h. Factor i(m).
m*(m - 16)*(m + 1)/3
Let m be ((-33)/1584)/((-100)/1200). Factor -45/4 + m*a**2 - 11*a.
(a - 45)*(a + 1)/4
Find u such that -3972*u**3 + 1478*u**5 + 219 - 9256*u**2 + 51 - 1594*u**5 - 1616*u**4 - 2992*u**3 + 18 - 3504*u = 0.
-6, -1, 2/29
Suppose 2*u + 4 = 0, -g + 5*u - 8*u = -74. Determine q so that -3*q**2 - g*q - 10*q**2 + 7*q**2 + 3*q**2 + 7*q**2 = 0.
0, 20
Solve 28692*u + 532*u**2 - 43005*u + 32265*u + 17424 + 4*u**3 = 0 for u.
-66, -1
Suppose -6*c + 10874 - 3194 = 0. Let n = 10255/8 - c. Factor -3/4 + 3/8*a**4 + 3/8*a**3 - 9/8*a**2 - n*a.
3*(a - 2)*(a + 1)**3/8
Find j, given that -720 + 81/2*j**3 - 324*j**2 + 858*j - 3/2*j**4 = 0.
2, 8, 15
Let t(x) be the first derivative of -2*x**5/15 - 11*x**4 - 128*x**3/3 - 190*x**2/3 - 42*x - 1591. Let t(w) = 0. Calculate w.
-63, -1
Suppose 0 = -298*m - 152*m + 4066 - 3166. Let i be 2*1 - 6/3. Find f such that -2/9*f**m + 0 + i*f + 2/3*f**3 = 0.
0, 1/3
Let m be (0/(42/14))/1. Let d(t) be the third derivative of -1/300*t**5 - 15*t**2 + 0*t**3 + 0 + 0*t**4 + 1/600*t**6 + m*t. Find a such that d(a) = 0.
0, 1
Let s be (0/(-29 - -11))/(-2). Let y(n) be the second derivative of -11*n + 4/3*n**3 - 1/3*n**4 + s + 16*n**2. Factor y(r).
-4*(r - 4)*(r + 2)
Let a(o) = -10*o**2 + 13*o - 10. Let k(z) be the third derivative of -z**5/12 + z**4/4 - 5*z**3/6 - 6*z**2 - 7. Let v(n) = 4*a(n) - 7*k(n). Factor v(l).
-5*(l - 1)**2
Let s be 15/190*(-8)/(-6) - ((-22296)/456 + 46). Find w, given that 11/7*w**2 + 4/7*w**s - 3/7*w + 0 = 0.
-3, 0, 1/4
Let x(q) be the second derivative of q**7/252 + 53*q**6/180 - q**5/60 - 53*q**4/36 + q**3/36 + 53*q**2/12 + 2963*q. Solve x(n) = 0.
-53, -1, 1
Determine g, given that 2/9*g**2 + 62/9*g - 68/3 = 0.
-34, 3
Let q = -216 - -153. Let p = 66 + q. Factor -2*d**p + 34*d**2 - 97 - 120*d - 3*d**3 + 21*d**2 - 83.
-5*(d - 6)**2*(d + 1)
Let n = -439 + 430. Let l(a) = 27*a + 245. Let j be l(n). Let 2/7*r - 1/7*r**j + 0 - 1/7*r**3 = 0. What is r?
-2, 0, 1
Let i be 22 + 3/((-12)/8). Let c be (i/(-80))/((-2)/16). Factor 7*h**2 - 15*h + 4*h**2 - h**c.
5*h*(2*h - 3)
Let o(f) be the third derivative of f**7/105 + 3*f**6/20 - 11*f**5/30 - 3*f**4/4 + 10*f**3/3 - 308*f**2 - 2*f + 2. Factor o(p).
2*(p - 1)**2*(p + 1)*(p + 10)
Suppose f - 2*f - 405 = 0. Let j = f - -408. Let 15/7*l - l**4 - 2*l**j - 2/7*l**2 - 1/7*l**5 + 9/7 = 0. Calculate l.
-3, -1, 1
Suppose -1014*x = -1013*x - 9. Let z be (-30)/135 - (-2)/x. Solve z + 2/3*h**2 + 2/21*h = 0 for h.
-1/7, 0
Suppose 7 - 3 = l. Suppose 15 + 1 = 5