 1)/3
Let d(t) = -2*t**4 - 3*t**3 + t**2. Let g(l) = 15*l**4 - 5*l**3 - 85*l**2 + 320*l. Let m(a) = 5*d(a) + g(a). Factor m(y).
5*y*(y - 4)**2*(y + 4)
Suppose 5*p - 190 = 10*p. Let o = p + 43. Factor 6*q**2 - 4*q**o + q**5 - 9*q**3 - 4*q**4 + 16*q**4 - 6*q**3.
-3*q**2*(q - 2)*(q - 1)**2
Let m = -410 + 414. Suppose -9*b**4 - 45*b**2 + 33*b**2 + 2*b**4 + 108*b**5 - 164*b**m + 84*b**3 = 0. Calculate b.
0, 1/4, 2/3
Let i(q) be the first derivative of 7*q**6/10 + 48*q**5/25 - 18*q**4/5 - 64*q**3/5 - 24*q**2/5 - 6066. Find m such that i(m) = 0.
-2, -2/7, 0, 2
Suppose -4*m + 5*d + 65 = 50, -4*m = 2*d + 6. Let h be (-6)/(-30) + -1 + (-174)/(-105). Solve h*v**2 + 2/7*v**4 - 6/7*v**3 + m - 2/7*v = 0.
0, 1
Factor 1909/2*j - 1/4*j**2 - 3644281/4.
-(j - 1909)**2/4
Let f(b) = 3*b - 103. Let v be f(35). Factor 4*m**v + 12*m - m + 16 - 23*m - 2*m**2.
2*(m - 4)*(m - 2)
Let y(d) be the second derivative of d**6/165 + d**5/110 - d**4/66 - d**3/33 + 466*d. What is t in y(t) = 0?
-1, 0, 1
Let b be ((-9)/10)/3 + -15*496/(-16800). Let i(q) be the second derivative of -4*q - 1/84*q**4 + 0 + 1/42*q**3 + b*q**2. Factor i(x).
-(x - 2)*(x + 1)/7
Let i(q) be the third derivative of q**5/90 + 19*q**4/54 - 13*q**3/27 - 22*q**2 + 22. Factor i(s).
2*(s + 13)*(3*s - 1)/9
Let d(l) be the first derivative of -141 - 1/3*l**4 - 16/3*l**2 + 152/27*l**3 + 0*l. Factor d(k).
-4*k*(k - 12)*(3*k - 2)/9
Factor -908/15*t + 608/5 - 2/15*t**2.
-2*(t - 2)*(t + 456)/15
Suppose -4*w + 2*j = -6, 0 = 5*w + 8*j - 551 + 491. Suppose 56/3*h**3 + 10/3 - 25/3*h**2 - 23/3*h + w*h**4 = 0. What is h?
-5, -2/3, 1/2
Let m(y) be the first derivative of 0*y**2 + 10 + 0*y**4 + 0*y + 1/630*y**6 + 1/210*y**5 + 6*y**3. Let o(k) be the third derivative of m(k). Factor o(c).
4*c*(c + 1)/7
Suppose -345*i + 24 = -337*i. Suppose -5*u + 21 = -z, -i*z - 8*u + 7 = -9*u. Find p such that 13/5*p + 9/5*p**3 + z*p**2 + 2/5 = 0.
-1, -2/9
Factor -2*g**2 + 42*g - 4 - 53 + 10 - 113.
-2*(g - 16)*(g - 5)
What is b in -1296 - 352 + 12*b + 3982*b**2 - 3987*b**2 - 212*b - 352 = 0?
-20
Let n(v) be the third derivative of v**5/15 + 23*v**4/6 + 260*v**3/3 + 2*v**2 - 519*v - 2. Determine k so that n(k) = 0.
-13, -10
Let r(t) be the first derivative of t**4/24 + 97*t**3/18 + 437*t**2/4 - 18411*t/2 + 8841. Factor r(a).
(a - 17)*(a + 57)**2/6
Let l(m) be the first derivative of -m**3/27 + 4*m**2/3 - 1467. Factor l(k).
-k*(k - 24)/9
Let k = -511 + 516. Factor 5 - 3109*r**3 + 3114*r**3 - 5*r + k - 10*r**2.
5*(r - 2)*(r - 1)*(r + 1)
Let j(y) = -y**2 + 10*y + 66. Let a(b) = -2*b**2 + 19*b + 133. Let z(c) = 2*a(c) - 5*j(c). Let g be z(-4). Find n such that -22/9*n**2 + g - 4/3*n = 0.
-6/11, 0
Suppose -83 - 17 + 304 - 79*q + 128 - q**2 = 0. What is q?
-83, 4
Let t(z) be the third derivative of -z**7/1365 - 83*z**6/780 + 13*z**5/30 - 85*z**4/156 + 1631*z**2. Factor t(m).
-2*m*(m - 1)**2*(m + 85)/13
Let s be (-2)/5*(-40)/32*4. Factor 3*d**s + 6*d**3 + 3*d**2 - 6*d - 2*d**2 + 23 - 27.
2*(d - 1)*(d + 1)*(3*d + 2)
Suppose 5*c - 4*c = -4*l - 2, 0 = 5*l + 10. Let 0*v**2 - c*v**2 - 13*v**3 + 12 + 3*v**5 + 234*v - 6*v**4 + 3*v**3 - 14*v**3 - 213*v = 0. What is v?
-1, 1, 4
Let f(t) be the first derivative of 5*t**3/3 + 80*t**2 + 1035*t - 193. Factor f(k).
5*(k + 9)*(k + 23)
Let o(t) = -11*t**2 + 58*t - 1. Let y be o(5). Suppose y*n + 4*n = 54. Factor 0*k + 2/3*k**n + 0 + 2/3*k**2.
2*k**2*(k + 1)/3
Let g = 44564/3 + -89125/6. Determine f, given that 24 - 4*f + g*f**3 - 5/2*f**2 = 0.
-3, 4
Let g(h) be the third derivative of h**5/60 - 3*h**4/2 - 79*h**3/3 - 59*h**2. Let i be g(40). What is l in -2/3 + 2/9*l**3 - 10/9*l - 2/9*l**i = 0?
-1, 3
Let c(q) = q**3 - 2*q**2 - 3*q + 4. Let w = -89 - -92. Let p be c(w). Factor -2*t**3 + 100*t - 3*t**3 + 40*t**2 - p*t**3 + 13*t**3.
4*t*(t + 5)**2
Let t(j) be the first derivative of j**6/6 + 1596*j**5/5 + 797*j**4 - 2*j**3/3 - 3189*j**2/2 - 1594*j + 6843. Find i such that t(i) = 0.
-1594, -1, 1
Let 3753286 - 24495*x**2 - 2*x**4 - 3*x**4 - 695*x**3 - 3753286 - 23805*x = 0. Calculate x.
-69, -1, 0
Let -1292/15 - 2/15*x**2 + 130/3*x = 0. Calculate x.
2, 323
Let d = -672263/2 + 336145. Factor 81/2*y - 9/2*y**3 - 3/2*y**4 + d*y**2 + 0.
-3*y*(y - 3)*(y + 3)**2/2
Let j(r) = -r**3 - 43*r**2 + 35*r - 3. Let u(q) = -2*q**3 - 84*q**2 + 71*q - 5. Let w(f) = -5*j(f) + 3*u(f). Find p such that w(p) = 0.
-38, 0, 1
Let f(a) be the second derivative of 3*a**5/20 + 11*a**4/4 - 7*a**3 - 36*a**2 + 9886*a. Factor f(v).
3*(v - 2)*(v + 1)*(v + 12)
Determine h so that 2*h**4 + 9*h + 54*h**2 + 8043*h**3 - 35*h - 4044*h**3 - 4029*h**3 = 0.
0, 1, 13
Let r(d) be the first derivative of -4*d**5/5 + 5*d**4 - 28*d**3/3 + 6*d**2 - 1335. Solve r(a) = 0.
0, 1, 3
Let r(l) be the second derivative of 1/25*l**6 + 67*l - 7/10*l**3 - 3/5*l**2 - 3/50*l**5 + 1/70*l**7 + 0 - 2/5*l**4. Factor r(n).
3*(n - 2)*(n + 1)**4/5
Let z(j) = -6*j**2 - 24*j + 6. Let h(d) = -5*d**2 - 18*d + 8. Let t(g) = -5*h(g) + 4*z(g). Factor t(p).
(p - 8)*(p + 2)
Let j(x) be the third derivative of -x**6/40 + 69*x**5/20 + 27*x**4 + 4*x**2 - 29. Factor j(g).
-3*g*(g - 72)*(g + 3)
Let j be (-20)/(-70) + (88/(-14) - 2). Let y be 4/2 + (216/15)/j. Factor 0 - 2/5*l + 1/5*l**3 + y*l**2.
l*(l - 1)*(l + 2)/5
Let y(d) be the second derivative of -d**8/8960 + d**7/672 + d**6/960 - d**5/32 - 11*d**4/4 + 22*d. Let n(m) be the third derivative of y(m). Factor n(p).
-3*(p - 5)*(p - 1)*(p + 1)/4
Suppose 8*n + 3*z = 4*n + 23, -14 = -2*n - 2*z. Suppose -3*p - 10 = -5*p. Suppose -13 + 23 + 7*a + p*a**n + 8*a = 0. What is a?
-2, -1
Let i = -82615 + 82618. Suppose -1014*s - 3/5*s**4 - 114/5*s**i + 6591/5 - 1404/5*s**2 = 0. Calculate s.
-13, 1
Let n(a) be the first derivative of a**5/60 - a**4/6 - 9*a**2 + a - 43. Let x(u) be the second derivative of n(u). Factor x(v).
v*(v - 4)
Let u be 14 - (-1)/((-4)/32). Let r be u/(-10) - 31/(-35). What is x in 4/7*x**2 - r + 2/7*x**3 - 1/7*x - 2/7*x**4 - 1/7*x**5 = 0?
-2, -1, 1
Let t(q) be the third derivative of -q**7/105 - q**6/15 + q**5/30 + q**4/3 + q**2 - 9*q. Determine h so that t(h) = 0.
-4, -1, 0, 1
Let p = -1371022 - -1371025. Determine f, given that 1/6*f**p - 1/2 - 5/6*f - 1/6*f**2 = 0.
-1, 3
Find t such that -1/5*t**2 - 486/5 - 49*t = 0.
-243, -2
Let v be (10/16)/((-10)/1 - (-1430)/88). Let u(a) be the first derivative of v*a**2 - 1/5*a**3 + 0*a + 13. Factor u(k).
-k*(3*k - 1)/5
Let n = -50 + 123. Let g = n - 70. Let 4*k**3 + 4*k**2 + 4*k - 2*k**3 - k**g = 0. Calculate k.
-2, 0
Let n be 7 + (258/(-1720))/(9/(-25))*-16. What is c in -c + 3 - 5/3*c**2 - n*c**3 = 0?
-3, 1
Let p(h) = 6*h**2 + 7*h + 2. Let z(w) = 12*w + 17. Let n be z(-5). Let v = 45 + n. Let t(j) = 12*j**2 + 13*j + 5. Let a(f) = v*t(f) - 5*p(f). Factor a(i).
-3*i*(2*i + 3)
Factor 2684*a - 1/2*a**2 - 3601928.
-(a - 2684)**2/2
Let w = -17780 + 17782. Let r(a) be the third derivative of -1/80*a**5 + 0*a + 14*a**w + 1/8*a**3 + 1/160*a**6 + 0 - 1/32*a**4. Factor r(p).
3*(p - 1)**2*(p + 1)/4
Factor 714*p + 4*p**2 - 643 - 271 + 581*p + 341*p + 190*p.
2*(p + 457)*(2*p - 1)
Let r(c) be the second derivative of 3*c - 3/190*c**5 + 1/399*c**7 - 2/285*c**6 + 2/57*c**4 + 4/57*c**3 + 0*c**2 - 22. Solve r(t) = 0.
-1, 0, 2
Let y(o) be the first derivative of 1/10*o**6 + 44 + 0*o**3 + 0*o**2 - 6/25*o**5 + 3/20*o**4 + 0*o. Factor y(k).
3*k**3*(k - 1)**2/5
Let j(k) = -70*k**3 - 282*k**2 + 1572*k. Let w(f) = 8*f**3 + 31*f**2 - 174*f. Let i(p) = -6*j(p) - 52*w(p). Suppose i(u) = 0. Calculate u.
-24, 0, 4
Let b(i) = -2*i**2 - 42*i - 205. Let m be b(-8). Let q be 58/28 - 24/336. Solve -3 + 1/2*w**m - 3*w**q + 11/2*w = 0.
1, 2, 3
Factor 8 - 16/5*y**3 + 1/5*y**4 - 94/5*y + 69/5*y**2.
(y - 10)*(y - 4)*(y - 1)**2/5
Factor 44*l**2 + 6495*l + 13*l**3 - 6063*l + 180*l**2 - 9*l**3.
4*l*(l + 2)*(l + 54)
Let p(t) = t**2 - 12*t + 13. Let u be p(11). Let v = 5184/6251 + 280/893. Factor -6/7*s + 1/7*s**u + v.
(s - 4)*(s - 2)/7
Let m(h) = -17*h**3 - 93*h**2 - 16*h + 21. Let k(v) = -69*v**3 - 370*v**2 - 66*v + 85. Let i be 2806/138 - 2*(-5)/6. Let l(f) = i*m(f) - 6*k(f). Factor l(a).
2*(a + 4)*(4*a + 3)*(5*a - 2)
Factor 25*f**2 + 22*f**3 + 855*f**4 + 31*f**2 - 20*f**2 - 853*f**4.
2*f**2*(f + 2)*(f + 9)
Let w(a) be the second derivative of -3*a**5/20 - 3*a**4 - 29*a**3/2 + 63*a**2 - 112*a + 2. Factor w(o).
-3*(o - 1)*(o + 6)*(