 19095/2*z**2 - 1550*z + 125/2*z**4 + 1550*z**3 - 9610 = 0.
-62/5, -1, 1
Let y(z) = 15*z**2 - 1. Let w(l) = -5*l**3 + 50*l**2 + 100*l - 124. Let q(c) = -w(c) + 4*y(c). Factor q(p).
5*(p - 2)**2*(p + 6)
Let l(s) = 2*s**3 - 3*s. Let q(p) = -11*p**3 + 266*p**2 + 15*p. Let n(i) = 5*l(i) + q(i). Find c, given that n(c) = 0.
0, 266
Factor 5/2*p**3 + 0 + 0*p + 20*p**2.
5*p**2*(p + 8)/2
Let 3795*z - 3*z**4 + 1458*z**3 - 354 + 1317*z + 4392*z**2 + 1821 - 714*z = 0. Calculate z.
-1, 489
Let u(d) = 2*d**3 - 31*d**2 + 955*d - 15520. Let s be u(16). Factor 220/9*l**2 + 2*l**3 + 232/3*l + s.
2*(l + 6)**2*(9*l + 2)/9
Let u(t) = 6*t**5 - 34*t**4 + 19*t**3 + 237*t**2 - 345*t + 127. Let h(p) = 2*p**5 + 2*p**4 - p**3 + p**2 - p - 1. Let q(o) = -5*h(o) + u(o). Factor q(s).
-4*(s - 1)**3*(s + 3)*(s + 11)
Let h(t) be the second derivative of t**7/40 + t**6/12 - t**5/40 - t**4/2 + 7*t**3/3 - t - 6. Let u(i) be the second derivative of h(i). Factor u(d).
3*(d + 1)**2*(7*d - 4)
Let n(y) be the third derivative of y**6/160 + 77*y**5/80 - y**4/32 - 77*y**3/8 + 985*y**2. Suppose n(f) = 0. Calculate f.
-77, -1, 1
Let k(q) be the first derivative of -q**6/540 + 2*q**5/135 - q**4/108 - 2*q**3/9 - 225*q**2/2 - 99. Let a(z) be the second derivative of k(z). Factor a(m).
-2*(m - 3)*(m - 2)*(m + 1)/9
Suppose 0*s + 228 = 44*s + 13*s. Let a(y) be the first derivative of -8/5*y**5 - 2*y**2 + 15 - 16/3*y**3 - 5*y**s + 0*y. Find r such that a(r) = 0.
-1, -1/2, 0
Let m be 12/34 + 83266/17918. Factor 0*p - 6/11*p**4 + 0*p**3 + 8/11*p**2 + 0 - 2/11*p**m.
-2*p**2*(p - 1)*(p + 2)**2/11
Let p(q) be the third derivative of q**6/180 - 2*q**5/45 - q**4/3 - 923*q**2. Factor p(u).
2*u*(u - 6)*(u + 2)/3
Suppose 4*w + w - 5*h = 40, -4*w = 3*h + 3. Let p(n) be the second derivative of 0 + 0*n**w + 0*n**4 + 0*n**2 + 1/20*n**5 - 5*n - 1/30*n**6. Solve p(z) = 0.
0, 1
Let y(i) be the first derivative of 0*i + 1/6*i**4 + 1/15*i**5 - 4 + 0*i**2 + 0*i**3. Factor y(a).
a**3*(a + 2)/3
Suppose 8 = -3*k + r + 5, 4*k = -3*r + 35. Let z(b) be the second derivative of 0*b**k + 0 - 1/15*b**5 - 25*b + 0*b**3 - 1/45*b**6 + 0*b**4. Factor z(j).
-2*j**3*(j + 2)/3
Let z(p) be the third derivative of p**5/80 + 685*p**4/16 + 469225*p**3/8 + 17*p**2 - 107*p. Let z(r) = 0. What is r?
-685
Suppose -4*g + 226 + 34 = 0. Let a be ((-10)/(-42))/(g/234). Determine l so that 0 + 0*l**3 - 3/7*l + 6/7*l**2 + 3/7*l**5 - a*l**4 = 0.
-1, 0, 1
Let u(h) be the second derivative of -h**6/15 + 13*h**5/10 - 11*h**4/6 - 13*h**3/3 + 12*h**2 + 1365*h. Factor u(y).
-2*(y - 12)*(y - 1)**2*(y + 1)
Let a(n) = -n**2 - 599*n + 22860. Let v be a(36). Factor -32/5*c**3 - 4/5*c**4 + v - 24/5*c - 52/5*c**2.
-4*c*(c + 1)**2*(c + 6)/5
Let p = -9 + 18. Determine n so that -72*n**3 - 4*n**5 - 32*n - 9*n**5 + p*n**5 + 80*n**2 + 28*n**4 = 0.
0, 1, 2
Let z = -1772 - -1772. Let g(q) be the second derivative of -1/20*q**5 - 15*q + 2*q**2 + z - 4/3*q**3 + 5/12*q**4. Factor g(n).
-(n - 2)**2*(n - 1)
Let o(a) be the third derivative of a**7/1260 - 17*a**5/360 - a**4/4 - 5*a**3/9 + 4*a**2 + 616*a. Factor o(c).
(c - 5)*(c + 1)*(c + 2)**2/6
Let a(o) = -6*o + 4. Let l be a(0). Let 4*s**3 + 4*s**5 - 39*s**l + 61*s**4 - 30*s**4 = 0. Calculate s.
0, 1
Let v = 1519/9480 + -12/79. Let d(u) be the third derivative of v*u**6 + 2/3*u**3 + 3/8*u**4 + 22*u**2 + 0 + 1/10*u**5 + 0*u. Factor d(r).
(r + 1)**2*(r + 4)
Let s = -16 + 39. Suppose u - 11*b = -13*b - 7, s = u - 4*b. Let 2/5*v**u + 4/5 - 2/5*v - 4/5*v**2 = 0. Calculate v.
-1, 1, 2
Let c(q) = -623*q + 3119. Let y be c(5). Let b(x) be the third derivative of -11*x**2 + 25/32*x**y + 0 - 3/4*x**3 - 3/80*x**5 - 1/40*x**6 + 0*x. Factor b(s).
-3*(s - 2)*(s + 3)*(4*s - 1)/4
Let w(c) = -4*c**3 - 15217*c**2 - 14455380*c + 14470411. Let z(f) = -4*f**3 - 15216*f**2 - 14455344*f + 14470412. Let x(i) = -4*w(i) + 5*z(i). Factor x(u).
-4*(u - 1)*(u + 1902)**2
Suppose 0 = z - 3 + 19. Let q(n) = -n**3 - 17*n**2 - 15*n + 19. Let s be q(z). Determine o, given that 4*o**4 - 12*o**s + 22*o + 12*o**2 - 12*o - 14*o = 0.
0, 1
Let r(q) be the third derivative of -q**6/90 + 2*q**5/15 - 2*q**4/3 + 13*q**3/6 + 23*q**2. Let i(l) be the first derivative of r(l). Find v such that i(v) = 0.
2
Let i = -189809/2 - -94943. Factor -15 - 5/2*j**2 - i*j.
-(j + 15)*(5*j + 2)/2
Let h(s) = -s**3 - 38*s**2 - 77*s - 30. Let f be h(-36). Factor 11*n**3 + 5184*n + 146*n**2 - 28*n**2 - 7*n**3 + f*n**2 + 20*n**2.
4*n*(n + 36)**2
Determine a, given that 221*a**3 + 71*a**3 - 3550*a + 10944*a**2 + 24286*a + 2*a**4 = 0.
-72, -2, 0
Let a be (461144/(-3894) - -119) + (-24)/(-22). Factor -4/3*s**2 - a - 19/6*s + 1/6*s**3.
(s - 10)*(s + 1)**2/6
Let x(v) = -4*v**3 - v**2 + v + 4. Let j(h) = 13*h**3 - 512*h**2 - 1155*h - 218. Let w(o) = -j(o) - 2*x(o). Suppose w(b) = 0. What is b?
-2, -1/5, 105
Let h(w) be the second derivative of -2/3*w**3 + 0*w**2 + 1/15*w**6 + 1/5*w**5 + 55*w + 0 - 1/6*w**4. Factor h(v).
2*v*(v - 1)*(v + 1)*(v + 2)
Let c(b) = b**2 + 123*b + 1894. Let v be c(-18). Let d(n) be the first derivative of 5/4*n**v + 9 + 0*n**3 - 10*n**2 + 0*n. Factor d(y).
5*y*(y - 2)*(y + 2)
Let q(b) be the third derivative of b**8/672 + b**7/70 - b**6/4 + 17*b**5/15 - 2*b**4 - 7*b**2 + 86. Suppose q(h) = 0. What is h?
-12, 0, 2
Suppose -9*b + 5*o = -11*b + 5, 30 = -3*b + 5*o. Let p be (3 + b + 0)*1/(-1). Suppose 2/5*a**p + 4/5 + 6/5*a = 0. Calculate a.
-2, -1
Factor -10/9 + 172/9*i - 34/9*i**2.
-2*(i - 5)*(17*i - 1)/9
Let n = -8/300519 + 3029832614/2103633. Suppose -n - 2/7*z**2 + 284/7*z = 0. What is z?
71
Let o(i) be the second derivative of 3*i**7/980 - 5*i**6/252 + i**5/35 + i**4/21 - 19*i**3/3 - 54*i. Let g(f) be the second derivative of o(f). Factor g(s).
2*(s - 2)*(s - 1)*(9*s + 2)/7
Let z(t) be the second derivative of 1/75*t**6 - 2/5*t**2 + 1/3*t**3 - 1/50*t**5 - 1/10*t**4 + 0 - 66*t. Determine o so that z(o) = 0.
-2, 1
Suppose -20*b + 9504 = -8*b. Let j be (-11)/(b/(-16)) + (-50)/(-18). Suppose -10/9*s**j + 2/9*s + 0 + 2/9*s**2 + 2/3*s**4 = 0. What is s?
-1/3, 0, 1
Factor -40/11*t - 2/11*t**3 + 32/11 + 16/11*t**2.
-2*(t - 4)*(t - 2)**2/11
Factor -12 - 165/7*z + 3/7*z**3 - 78/7*z**2.
3*(z - 28)*(z + 1)**2/7
Let t(w) be the first derivative of -w**6/72 + 5*w**5/24 - 14*w**3/3 - 59. Let f(l) be the third derivative of t(l). Let f(d) = 0. What is d?
0, 5
Let v(q) be the third derivative of q**8/336 - q**7/105 - q**6/20 + q**5/15 + 13*q**4/24 + q**3 - 4*q**2 - 90. Factor v(f).
(f - 3)*(f - 2)*(f + 1)**3
Let m be 1606/104 - ((-1680)/364)/15. Factor 3/4*x**3 + 441/4*x - 1029/4 - m*x**2.
3*(x - 7)**3/4
Factor 2/15*f**2 + 572/15 + 58/3*f.
2*(f + 2)*(f + 143)/15
Let a be (-4)/21*(-9492)/4520. Factor 0 + a*q**3 + 4*q**4 - 8/5*q**2 + 0*q - 14/5*q**5.
-2*q**2*(q - 1)**2*(7*q + 4)/5
Let f = 1419 - 1395. Suppose 2*n = 5*j - 20, -3*j + f = -3*n + 3. Solve 12/23*s**j - 16/23 + 2/23*s**3 - 8/23*s - 2/23*s**4 = 0.
-2, -1, 2
Let l(k) be the second derivative of k**7/1260 - k**6/90 + k**5/20 + 19*k**4/3 + k**3/6 - 9*k + 1. Let s(b) be the third derivative of l(b). Factor s(r).
2*(r - 3)*(r - 1)
Let m(t) be the second derivative of t**4/6 + 151*t**3/3 - 306*t**2 + 2364*t. Solve m(u) = 0 for u.
-153, 2
Let f = 1319148 - 156979658/119. Let c = -130/17 - f. Factor 12/7 - 12/7*z**2 - c*z**3 + 8/7*z.
-4*(z - 1)*(z + 1)*(2*z + 3)/7
Solve -197*w**2 - 2*w**4 + 524*w - 131*w**3 + 3*w**4 + 193*w**2 = 0 for w.
-2, 0, 2, 131
Suppose 2*t + 1 = -v, 5*v - 15 = -15*t + 10*t. Factor -6*b**3 + v*b**2 - 1/2*b**4 + 6*b - 13/2.
-(b - 1)**2*(b + 1)*(b + 13)/2
Let m(t) be the first derivative of -1/8*t**4 + 1/4*t**2 - 87 + 1/20*t**5 - 1/4*t + 0*t**3. Factor m(w).
(w - 1)**3*(w + 1)/4
Let x(u) = u**3 - 69*u**2 - 10363*u + 219. Let i be x(-73). Suppose -2/13 + i*l + 2/13*l**2 = 0. Calculate l.
-1, 1
Let l(t) be the third derivative of 1/30*t**6 + 4/3*t**3 + 4/15*t**5 + 0 + 97*t - 2*t**2 + 5/6*t**4. Let l(i) = 0. What is i?
-2, -1
Suppose 50*v - 19274 + 19174 = 0. What is q in -4/3*q - 26/21 - 2/21*q**v = 0?
-13, -1
Let q = 2017/3842 + -48/1921. Factor 0 + 3*j - q*j**2.
-j*(j - 6)/2
Let i(z) = 8 + 37*z**2 + 18*z - 101*z + 12 - 57*z**2 + 29*z**2. Let y be i(9). Determine l, given that 4/9*l - 2/9*l**y + 0 = 0.
0, 2
Let y be ((-6)/4)/((-5)/10). Suppose -10*t + 585 = y*t. Suppose 4*d**5 - 75*d + d**5 + 70*d**3 - 