t r be -52 + y + -1*1/(-2). Factor 0 - r*t**2 + 1/2*t.
-t*(t - 1)/2
Let w(n) = 36*n**2 + 744*n + 3896. Let j(t) = 13*t**2 + 249*t + 1299. Let x(l) = 8*j(l) - 3*w(l). Solve x(d) = 0 for d.
-54, -6
Let 446/3 - 2/3*t**2 + 148*t = 0. What is t?
-1, 223
Let j(d) = -d**2 + 549*d - 56982. Let i be j(139). Suppose 28/3*w**2 + 0 + i*w**3 - 26/3*w + 2/3*w**5 - 28/3*w**4 = 0. Calculate w.
-1, 0, 1, 13
Let i(m) be the third derivative of 0*m**4 + 0*m + 1/120*m**6 + 2/735*m**7 + 41*m**2 - 1/210*m**5 + 0*m**3 + 0. Suppose i(b) = 0. Calculate b.
-2, 0, 1/4
Let r be ((-90)/100)/(45/(-60)). Find k, given that -r*k + 1/5*k**2 + 1 = 0.
1, 5
Let o(y) = -17*y**3 - 109*y**2 + 616*y + 600. Let c(g) = -32*g**3 - 199*g**2 + 1231*g + 1200. Let p(m) = -6*c(m) + 11*o(m). What is n in p(n) = 0?
-10, -1, 12
Let b(i) be the second derivative of -i**4/72 + 113*i**3/18 + 13*i - 76. Determine z so that b(z) = 0.
0, 226
Let q(j) be the second derivative of 51/5*j**5 + 36*j + 0*j**2 + 2/15*j**6 + 0 + 1250/3*j**3 + 225*j**4. Factor q(r).
4*r*(r + 1)*(r + 25)**2
Let h(z) be the second derivative of -5*z**6/2 - 213*z**5/4 + 573*z**4/2 - 370*z**3 + 204*z**2 + 2276*z. Suppose h(o) = 0. Calculate o.
-17, 2/5, 2
Suppose -2*r = 8, 36 = 2*v + 2*v - 4*r. Solve -1375 + 250 + 182*w - 32*w - v*w**2 = 0 for w.
15
Suppose -436 + k**3 + 144 + 59*k + 11*k**2 + 178 + 156 + 7*k**2 = 0. What is k?
-14, -3, -1
Let k = -943/5 - -297973/1580. Let h = k + 1917/2212. Solve -3/7*o**5 + 0 + h*o**3 + 0*o + 3/7*o**4 + 0*o**2 = 0 for o.
-1, 0, 2
Let i be ((-12244)/(-60))/((-271)/(-34)). Let j = -2/813 + i. Factor 2/5*y**3 + 96/5*y - 24/5*y**2 - j.
2*(y - 4)**3/5
Let z = 15/26 + -197/364. Let g(b) be the second derivative of -11/42*b**3 + 3/7*b**2 + b + z*b**4 + 0. Let g(y) = 0. Calculate y.
2/3, 3
Suppose -56*s = -27*s - 3335. Find h, given that 3*h**2 + 363 - s + 15*h - 123 - 125 = 0.
-5, 0
Factor -5323*k**4 + 30*k**3 - 135 + 84*k**2 - 5309*k**4 + 10635*k**4 + 18*k.
3*(k - 1)*(k + 3)**2*(k + 5)
Factor -35/8*q + 1/8*q**2 + 33/4.
(q - 33)*(q - 2)/8
Let n(d) = 75*d**2 - 9*d + 69. Let k(f) = -11*f**2 + f - 10. Suppose w - 158 = -154. Let x(p) = w*n(p) + 27*k(p). Factor x(r).
3*(r - 2)*(r - 1)
Let v = -155 + 158. Factor 15694 - 15694 - 12*x - 4*x**v + 16*x**2.
-4*x*(x - 3)*(x - 1)
Let p(l) = l**2 - l - 1. Let s(a) = 4*a**2 + 74*a + 720. Let n(q) = 3*q + 38. Let t be n(-13). Let o(y) = t*s(y) + 2*p(y). Determine c, given that o(c) = 0.
-19
Let o = -185 - -200. Let -25*l**5 + 4*l**5 + o*l**4 - 219*l**3 + 225*l**3 = 0. Calculate l.
-2/7, 0, 1
Let h(k) be the second derivative of -k**5/15 - 3*k**4 - 16*k**3/3 + 104*k**2/3 + 1129*k. Factor h(b).
-4*(b - 1)*(b + 2)*(b + 26)/3
Find z such that -151/3*z**3 - 4/3*z**5 + 155/3*z - 31*z**2 + 17*z**4 + 14 = 0.
-1, -1/4, 1, 6, 7
Factor -6 + 19/3*z**2 - 17/3*z**3 - 1/3*z**4 + 17/3*z.
-(z - 1)**2*(z + 1)*(z + 18)/3
Suppose -28*o - 8*o + 72 = 0. Let c(f) = -5*f**3 + 39*f**2 - 25*f - 3. Let q(k) = 4*k**3 - 36*k**2 + 26*k + 2. Let l(i) = o*c(i) + 3*q(i). Factor l(w).
2*w*(w - 14)*(w - 1)
Let m(l) = -l. Let c(f) = -4*f**2 - 38*f - 96. Let t(v) = 3*v**2 + 42*v - 1. Let j be t(-14). Let h(i) = j*c(i) - 6*m(i). Let h(a) = 0. Calculate a.
-8, -3
Let o(i) be the first derivative of i**4 - 40*i**3/3 - 86*i**2 + 208*i + 1490. Solve o(s) = 0.
-4, 1, 13
Let w = -1/142037 - -175801225/142037. Factor -2/7*u**3 - w*u - 228/7*u**2 - 109744/7.
-2*(u + 38)**3/7
Let f(u) be the first derivative of -u**3/7 + 72*u**2 - 14617. Factor f(i).
-3*i*(i - 336)/7
Factor 28260*j**2 - 28653*j**2 - 412*j - 399 + 3*j**3 - 383*j.
3*(j - 133)*(j + 1)**2
Let q = 73 + -29. Let b = 48 - q. Factor -b*k**3 - 56*k**2 - 75*k - 99*k - 22*k.
-4*k*(k + 7)**2
Let t(s) = 6*s**4 - 9*s**3 - 12*s**2 + 111*s - 105. Let v(a) = -7*a**4 + 8*a**3 + 11*a**2 - 112*a + 104. Let c(i) = 4*t(i) + 3*v(i). Factor c(y).
3*(y - 3)*(y - 2)**2*(y + 3)
Solve 50/7*q**3 + 0 - 22/7*q**4 - 2/7*q**5 - 26/7*q**2 + 0*q = 0 for q.
-13, 0, 1
Let q(s) be the first derivative of -3*s**4/4 + 28*s**3 + 3*s**2/2 - 84*s + 2906. Factor q(m).
-3*(m - 28)*(m - 1)*(m + 1)
Let n(l) be the third derivative of 5*l**8/336 + 20*l**7/21 - 85*l**6/12 + 65*l**5/3 - 875*l**4/24 + 110*l**3/3 + 16*l**2 - 62. Suppose n(y) = 0. What is y?
-44, 1
Let v(s) be the second derivative of -32*s**6/15 - 472*s**5/5 - 233*s**4/3 - 58*s**3/3 + 1440*s. Factor v(a).
-4*a*(a + 29)*(4*a + 1)**2
Factor 0*o - 33/2*o**2 - 129/4*o**3 + 0 + 3/4*o**5 - 15*o**4.
3*o**2*(o - 22)*(o + 1)**2/4
Let j be (-9 - -9)/(32/24*15/(-10)). Let l(p) be the second derivative of 0*p**2 - 1/90*p**6 + 0*p**4 + 1/126*p**7 + j - 24*p + 0*p**3 + 0*p**5. Factor l(y).
y**4*(y - 1)/3
Let y(z) be the third derivative of -z**5/390 - 181*z**4/156 + 172*z**2. Determine k, given that y(k) = 0.
-181, 0
Suppose 11*d + 748 = 803. Let f(g) be the first derivative of 0*g - g**3 + 8 + 15/8*g**4 + 0*g**2 + 1/4*g**6 - 6/5*g**d. Factor f(n).
3*n**2*(n - 2)*(n - 1)**2/2
Let g = -659 + 672. Let v(j) = -j**2 - 9*j + 289. Let q be v(g). Solve -2/3 + 2/3*f**2 + 2*f - 2*f**q = 0 for f.
-1, 1/3, 1
Suppose 9 = -3*i - 3, 5*i = 2*n - 32. Let c be 4/n*(78/(-24) - -4). Let 0 + 2*q + 3/2*q**2 - c*q**3 = 0. Calculate q.
-1, 0, 4
Let t(k) = -46*k**2 + 282*k + 15. Let y be t(6). Let a be ((-34)/y - 20/6)/(-2). Suppose -2/7*o**4 - 72/7*o**a + 20/7*o**3 + 16*o - 64/7 = 0. What is o?
2, 4
Suppose -6*x + 10*x + c - 1991 = 0, 3*x - 2*c - 1507 = 0. Let y = -497 + x. Factor 16/13 - 8/13*v - 12/13*v**y + 10/13*v**3 - 2/13*v**4.
-2*(v - 2)**3*(v + 1)/13
Suppose -z + 0*r - 2*r - 36 = 0, 2*z - 4*r - 80 = 0. Solve 352/3*b + 128 + 242/9*b**z = 0 for b.
-24/11
Suppose 25*w - 5*q = 22*w - 19, 5*q = -4*w + 33. Determine r, given that -10/17*r - 2/17*r**3 - 12/17*r**w + 24/17 = 0.
-4, -3, 1
Let r = -147280 - -1030961/7. Factor r*s**5 + 2/7*s**3 + 0*s**2 + 0*s - 3/7*s**4 + 0.
s**3*(s - 2)*(s - 1)/7
Factor -553*a**2 - a**4 - 298*a**2 + 87*a + 3*a**3 + 102*a + 656*a**2 + 4*a**4.
3*a*(a - 7)*(a - 1)*(a + 9)
Let b(c) = -3*c + 17. Let w be b(4). Factor 4*a**4 + a**4 + 4*a**3 + 551*a**w - 550*a**5.
a**3*(a + 1)*(a + 4)
Let g(k) be the third derivative of 0*k**3 + 0 + 4/25*k**5 + 0*k + 0*k**4 - 2/525*k**7 + 69*k**2 - 11/150*k**6. Factor g(r).
-4*r**2*(r - 1)*(r + 12)/5
Let d = 292819/7 - 41831. Determine g, given that -4/7 - d*g + 2/7*g**2 = 0.
-1, 2
Let k be (-8 + 4)*(-1)/1. Let m(w) be the second derivative of 0 - 1/2*w**3 - 1/8*w**k + 17*w - 3/4*w**2. Suppose m(c) = 0. Calculate c.
-1
Let h(o) = o**2 + 3*o - 1. Let k(n) = 8*n**3 - 12396*n**2 + 3196*n - 30. Let s(d) = 60*h(d) - 2*k(d). Factor s(y).
-4*y*(y - 1553)*(4*y - 1)
Suppose -6*j**3 - 2*j**5 + 0*j**2 + 7*j**5 - 8*j**5 + 2*j**2 - 5*j**4 + 2*j**5 + 3 + 7*j = 0. Calculate j.
-3, -1, 1
Let a(o) = -49*o - 55. Let k be a(-15). Find z, given that -1047 - 1009 - k*z + 125*z**3 + 1916 - 775*z**2 = 0.
-2/5, 7
Let y(r) = r**3 - 19*r**2 + 48*r + 42. Let k be y(16). Solve -41*t**2 - 8 + k*t**2 + 0*t + 26 - 3*t + 12*t = 0.
-6, -3
Let v be (-25 - 17)*8/(-2). Let w be 49/v - (-3)/(-18). Solve 0 - w*g**2 + 1/4*g - 1/8*g**3 = 0 for g.
-2, 0, 1
Let t = 69124592/137607 - 3/45869. Let i = 505 - t. Determine w, given that -2/3 + 8/3*w**2 - 2/3*w + i*w**3 = 0.
-1, -1/2, 1/2
Let n(m) be the first derivative of -2*m**2 + 64 + 0*m + m**4 - 16/3*m**3 + 16/5*m**5. Find j such that n(j) = 0.
-1, -1/4, 0, 1
Let k(o) be the first derivative of -3/4*o**4 - 3*o**2 + 0*o + 107 - 3*o**3. Factor k(x).
-3*x*(x + 1)*(x + 2)
Suppose 13*p - 26 = -0*p. Let t be (3/(-3))/(p/(-9)*3). Let t - 3/4*a - 3/4*a**2 = 0. Calculate a.
-2, 1
Factor 1/3*y**2 - 3*y + 8/3.
(y - 8)*(y - 1)/3
Let l(o) = -5*o**4 - 30*o**3 + 121*o**2 - 189*o + 91. Let j(h) = -48*h**4 - 299*h**3 + 1209*h**2 - 1887*h + 909. Let p(n) = -6*j(n) + 58*l(n). Factor p(t).
-2*(t - 22)*(t - 2)**2*(t - 1)
Let h(j) be the third derivative of j**5/330 - 839*j**4/132 + 558*j**3/11 - j**2 - 881*j. Find q such that h(q) = 0.
2, 837
Let d be -35 + -20 + (-10934)/(-198). Find s, given that -4/9*s**2 + 2 + d*s**4 - 8/3*s + 8/9*s**3 = 0.
-3, 1
Suppose p + 2*p - 24 = -5*s, -3 = p - 2*s. Determine u, given that -21*u + 3265*u**2 + p*u**3 + 18 - 3265*u**2 = 0.
-3, 1, 2
Let m be -22 + 1824/80 - (-12)/15. Let 2/5*o**3 + 0 - 2/5*o**5 + 0*o - 8/5*o**2 + m*o**4 = 0. Calculate o.
-1, 0, 1, 4
Suppose 14 = b - 3*j, 3