t**5 - 38/5*t**2 - h - 28/5*t - 5*t**3 - 8/5*t**4 = 0.
-2, -1
Let m(h) = -164 - 150 - 13*h**3 + 8*h**2 + h + 304 + 4*h. Let n(f) = 32*f**3 - 20*f**2 - 12*f + 24. Let r(u) = -12*m(u) - 5*n(u). Factor r(q).
-4*q**2*(q - 1)
Let m(t) = -t**3 + 8*t**2 - 1. Let z(d) = -8*d**3 + 139*d**2 + 1456*d + 10131. Let b(g) = -45*m(g) + 5*z(g). Solve b(s) = 0 for s.
-26, -15
Factor 0*l - 8*l**3 + 0 + 1/4*l**4 + 231/4*l**2.
l**2*(l - 21)*(l - 11)/4
Let f(v) = 4*v**2 - 559*v + 3086. Let a be f(134). Solve 18/11*o - 2/11*o**a + 0 - 6/11*o**2 - 10/11*o**3 = 0.
-3, 0, 1
Let r(x) be the third derivative of 5*x**6/24 - 61*x**5/12 + 395*x**4/12 + 140*x**3 - x**2 - 10*x - 102. Factor r(c).
5*(c - 7)*(c - 6)*(5*c + 4)
Let o(l) be the third derivative of l**8/30240 - l**7/1890 - l**6/216 + l**5/6 + l**4/12 - l**2 - 2*l. Let p(s) be the third derivative of o(s). Factor p(t).
2*(t - 5)*(t + 1)/3
Let l(u) = u**2 - 7. Let m(v) = -2*v + 17. Let r be m(7). Let t be l(r). Factor -5*y - 3*y - 6 + t*y - 3*y**2 - 3*y.
-3*(y + 1)*(y + 2)
Let j be (30/320)/((-33)/(-264)). Factor -9/4 + 3/4*o**3 - j*o**2 - 15/4*o.
3*(o - 3)*(o + 1)**2/4
Let -405*l**2 - 163216 + 82416*l + 1/2*l**3 = 0. What is l?
2, 404
Factor -39 + 87*n + 0 + 220*n**2 + 15 - 217*n**2 - 66.
3*(n - 1)*(n + 30)
Let d(u) = -5*u**4 + 293*u**3 + u**2 - 307*u + 2. Let f(l) = -8*l**4 + 288*l**3 + 2*l**2 - 309*l + 3. Let p(z) = -6*d(z) + 4*f(z). Factor p(y).
-2*y*(y - 1)*(y + 1)*(y + 303)
Let c be 1*-3 - (18 + 3). Let i = -22 - c. Suppose -11*b**2 - 5 - i*b + 8*b**2 - 1 - 7*b = 0. Calculate b.
-2, -1
Let a be 36/(-234) + (-1059)/117*-3. Suppose 35*c = 26*c + a. Find x such that 2/19*x**c + 6/19*x**4 - 2/19*x + 0 - 6/19*x**2 = 0.
-1, -1/3, 0, 1
Let l = -2180 + 3098. Suppose -5*f + 928 = l. Factor -5/4*r**f - 1/2*r + 3/4.
-(r + 1)*(5*r - 3)/4
Let m be 1 + (7 + 0 - -1). Suppose 2*h + 1 = m. Factor 3*o**3 + 4*o**4 + 7*o**2 - o**h - 10*o**2 - 3*o**5.
-3*o**2*(o - 1)**2*(o + 1)
Suppose 2/3*o**4 - 132 + 394/3*o**2 - 46*o + 46*o**3 = 0. What is o?
-66, -3, -1, 1
Suppose 4*k = c - 1 - 52, 0 = 5*k - 15. Factor -3*m**2 + m - c - m**3 + 126 - 60 + 2*m**2.
-(m - 1)*(m + 1)**2
Let w be 1/(45/10 + -5). Suppose 6 - 1 = 5*p. Let n(u) = u**3 - 2*u**2 + 2*u. Let v(j) = j**3 + j. Let z(b) = p*n(b) + w*v(b). Suppose z(o) = 0. Calculate o.
-2, 0
Let q be ((-22)/(-55))/(995/125 + -7). Let h(j) be the second derivative of 0 - 4*j + q*j**4 - 55/18*j**3 - 10/3*j**2. Factor h(o).
5*(o - 4)*(3*o + 1)/3
Let k(w) be the third derivative of -w**5/90 - 3*w**4/4 + 28*w**3/9 + 622*w**2. Factor k(d).
-2*(d - 1)*(d + 28)/3
Let w = 78045/2 + -39000. Factor -w + 35/4*n + 5/4*n**2.
5*(n - 2)*(n + 9)/4
Factor 2340/7*l - 2/7*l**2 - 684450/7.
-2*(l - 585)**2/7
Let 0 + 43/4*w**2 - 1/4*w**3 + 45/2*w = 0. Calculate w.
-2, 0, 45
Let k = -116 - -131. Determine b, given that 32*b + 5 + 47*b**4 + 3*b**5 + 7 - 54*b**4 - k*b**3 + 15*b**2 = 0.
-1, -2/3, 2, 3
Let s(y) = -76*y - 71. Let q be s(-1). Let g(a) be the third derivative of 0*a + 0 + q*a**2 + 0*a**3 - 1/6*a**4 + 1/60*a**5. Factor g(p).
p*(p - 4)
Let t(s) be the first derivative of 5/2*s**2 + 0*s + 19 - 5/8*s**3 + 1/80*s**5 - 1/8*s**4. Let g(n) be the second derivative of t(n). Let g(d) = 0. Calculate d.
-1, 5
Let p be (-6 - 2) + (-60)/35*(-129)/27. Factor 8/21*s**3 + p*s**2 - 6/7 - 8/7*s - 2/21*s**4.
-2*(s - 3)**2*(s + 1)**2/21
Let a(l) be the third derivative of 0 - 203*l**2 - 1/55*l**5 + 2/11*l**3 - 25/132*l**4 + 5/132*l**6 + 0*l. Solve a(b) = 0.
-1, 6/25, 1
Let k(v) = -v**2 - 21*v + 74. Let o be k(-24). Suppose -4*z**o - z**2 + 102*z - 12*z - 120 + 35 = 0. Calculate z.
1, 17
Let s(t) = -3*t**2 - 115*t - 432. Let j(u) = 3*u**2 + 96*u + 432. Let v(y) = 2*j(y) + 3*s(y). Let v(d) = 0. What is d?
-48, -3
Let n(x) = 53*x**2 - 44*x + 6. Let p be n(1). Let u(c) be the second derivative of 1/70*c**6 - 3/70*c**5 + 0*c**3 - 3/28*c**4 - p*c + 0 + 0*c**2. Factor u(b).
3*b**2*(b - 3)*(b + 1)/7
Let h(p) be the first derivative of 1/3*p**3 - 1/10*p**5 + 4 + 1/15*p**6 + 2*p**2 - 1/2*p**4 - 25*p. Let b(u) be the first derivative of h(u). Factor b(z).
2*(z - 2)*(z - 1)*(z + 1)**2
Let o(f) be the third derivative of -1/120*f**6 - 1/6*f**4 - 3 + 0*f**3 - 4*f**2 + 0*f - 1/15*f**5. Factor o(d).
-d*(d + 2)**2
Let u(l) = 13*l**3 - 313*l**2 - 326*l - 140. Let y(z) = 14*z**3 - 311*z**2 - 325*z - 154. Let w(n) = -11*u(n) + 10*y(n). Factor w(v).
-3*v*(v - 112)*(v + 1)
Let 242*m + 2*m**3 + 3*m**3 - 178*m - 120*m**2 + 656*m = 0. What is m?
0, 12
Let z(g) = g - 23. Let j be z(8). Let k = 15 + j. Find y, given that k*y**3 - y**4 + 3*y**2 + 4*y**4 - 6*y**3 = 0.
0, 1
Let c(q) be the second derivative of 2*q**7/21 + 56*q**6/15 + 221*q**5/5 + 134*q**4/3 - 1600*q**3 + 4032*q**2 - 4*q - 308. Find o such that c(o) = 0.
-12, -7, 1, 2
Factor 3/5*j**3 + 1642788/5*j - 3303384/5 + 4446/5*j**2.
3*(j - 2)*(j + 742)**2/5
Determine v, given that -9568*v + 54080 - 92/5*v**3 + 3156/5*v**2 + 1/5*v**4 = 0.
20, 26
Let a(r) be the first derivative of -147*r**4/32 - 2429*r**3/8 - 13221*r**2/2 - 45630*r + 5438. Factor a(p).
-3*(p + 5)*(7*p + 156)**2/8
Let m(a) be the third derivative of a**5/45 + 37*a**4/6 + 436*a**3/9 - 34*a**2 + 14. Find h such that m(h) = 0.
-109, -2
Let o(l) = 95*l + 287. Let k be o(-3). Factor 7*m + 141*m + 3*m**2 + 46*m - 48 + 30*m - 39*m**k.
-4*(m - 6)*(9*m - 2)
Suppose 5*w - 3*h + 33 = 0, 2*h - 27 + 5 = 5*w. Factor w + 38/11*z - 2/11*z**2.
-2*z*(z - 19)/11
Let o = -112256 - -449025/4. Factor 25/4 + o*r**2 + 5/2*r.
(r + 5)**2/4
Let b = -3/9769 - -468933/68383. Let 52/7*d**2 + 16/7 + b*d + 24/7*d**3 + 4/7*d**4 = 0. What is d?
-2, -1
Let -598/11*d + 868/11*d**2 + 126/11*d**5 + 60/11 + 2488/11*d**3 + 1088/11*d**4 = 0. What is d?
-5, -3, -1, 1/7, 2/9
Suppose -2*n + 11 = 1. Let x be (n/15)/((-2)/(-72)). Factor 192*j - 5*j**2 + 2 - 207*j - x.
-5*(j + 1)*(j + 2)
Let y = -3122 + 3145. Let s(v) be the first derivative of -v**5 - 10*v - y - 25/4*v**4 - 15*v**3 - 35/2*v**2. Factor s(c).
-5*(c + 1)**3*(c + 2)
Let x = -70399 - -70401. Factor -16/3*m**x - 14/3 - 1/3*m**3 - 29/3*m.
-(m + 1)**2*(m + 14)/3
Solve 5*g**3 - 3*g**2 + g**3 - 30*g**2 + 70*g - 18*g**2 + 48 - 4*g**3 = 0 for g.
-1/2, 2, 24
Let u(h) be the second derivative of 5*h**7/14 - 53*h**6/40 - 423*h**5/80 + 59*h**4/8 + 7*h**3 + 205*h. Find l, given that u(l) = 0.
-2, -7/20, 0, 1, 4
Let u(v) be the first derivative of 2/5*v**2 + 48 + 16/15*v + 2/45*v**3. Factor u(o).
2*(o + 2)*(o + 4)/15
Let r(l) be the third derivative of 2025/14*l**3 + 1/140*l**5 - 8*l**2 + 45/28*l**4 + 0 - 2*l. Let r(h) = 0. Calculate h.
-45
Let t(c) be the second derivative of -c**5/40 + 401*c**4/24 + 814*c**3/3 + 1636*c**2 + 399*c + 6. Factor t(j).
-(j - 409)*(j + 4)**2/2
Let w(q) be the first derivative of 54 - 3/2*q**6 - 8/3*q**3 - 1/2*q**2 - 11/2*q**4 + 0*q - 24/5*q**5. Factor w(p).
-p*(p + 1)**2*(3*p + 1)**2
Let c(u) = u**4 + 38*u**3 + 401*u**2 - 432*u. Let a(m) = -6*m**4 - 192*m**3 - 2007*m**2 + 2161*m. Let r(w) = 6*a(w) + 33*c(w). Suppose r(s) = 0. What is s?
-10, 0, 1, 43
Suppose 6 = -g + 8. Suppose -r = -g*r + 4. Factor 12 - 2*m**r - 2*m**2 - 4*m**2 - 4 + 10*m**3 - 10*m.
-2*(m - 4)*(m - 1)**2*(m + 1)
Suppose -y + 29*a - 551 = 0, 49*y + 5*a - 95 = 48*y. What is f in y + 1/5*f**3 - 18/5*f - 3/5*f**2 = 0?
-3, 0, 6
Let o(g) be the first derivative of -10*g + 5*g**5 + 215/12*g**4 - 52 + 175/9*g**3 + 5/6*g**2. Let o(k) = 0. What is k?
-6/5, -1, 1/3
Factor 1754*a + 138*a**2 + 196 - 3*a**3 - 13*a**2 - 521*a + 109*a**2 + 800.
-3*(a - 83)*(a + 1)*(a + 4)
Let v(x) = 9*x**3 - 237*x**2 - 236*x + 5. Let d(b) = -10*b**3 + 238*b**2 + 236*b - 6. Let h(f) = 5*d(f) + 6*v(f). Factor h(l).
4*l*(l - 59)*(l + 1)
Let r be (1521/819)/(-7*(-6)/441). Find l such that -r - 3/4*l**2 + 45/4*l = 0.
2, 13
Let 255220*d**2 - 255330*d**2 + 210 + 5*d**3 - 61*d + 156*d = 0. What is d?
-1, 2, 21
Let v = -48206879/86586126 - -4/307043. Let o = -21/94 - v. Let -o*z - 4/9*z**2 + 1/9 = 0. What is z?
-1, 1/4
Let s(w) = -w**3 + 116*w**2 - 824*w + 6649. Let n be s(109). Determine g, given that 3/2*g**2 + n - 5/3*g**3 - 1/3*g + 1/2*g**4 = 0.
0, 1/3, 1, 2
Let v be 1/20 - (-2242)/760. Let i(m) be the first derivative of 84*m**2 + 22 - 27/4*m**4 - 33*m**v - 60*m. Factor i(q).
-3*(q + 5)*(3*q - 2)**2
Let h = 86867 - 86864. Let 2/5*g**h + 52/5*g + 32/5 + 22/5*g**2 = 