What is j in -3/2*j**2 - 5362707/2 - 4011*j = 0?
-1337
Find a, given that 572/5*a**2 - 1138/5*a + 568/5 - 2/5*a**3 = 0.
1, 284
Suppose -12*s - 23 - 25 = 0. Let h be -4 + 940/(-40)*s/23. Factor -2/23 - h*x + 2/23*x**3 + 2/23*x**2.
2*(x - 1)*(x + 1)**2/23
Let j(r) be the third derivative of 0 - 1/190*r**6 - 1/3192*r**8 + 0*r**4 + 4*r + 0*r**5 + 0*r**3 - 1/399*r**7 - 5*r**2. Determine t, given that j(t) = 0.
-3, -2, 0
Let z(f) = -2*f**3 - 12*f**2 - 3*f - 6. Let h be z(-6). Factor g**4 + 4*g**3 - 11*g**2 + h*g**2 + 2*g**2.
g**2*(g + 1)*(g + 3)
Let n = -113315/2 - -56658. Let w(f) = -f - 4. Let a be w(-6). Factor n*q + 1/4*q**a + 0.
q*(q + 2)/4
Suppose 0 = 2*w - 4*b + 18, 4*w - 49*b + 46*b + 1 = 0. Let r(z) be the second derivative of 1/6*z**4 - 2/5*z**3 + 1/50*z**w + 0 + 27*z + 0*z**2. Factor r(q).
2*q*(q - 1)*(q + 6)/5
Let y be (0 + 2 - (-16)/(-24))*(-3)/(-26). Let l(x) be the second derivative of 1/39*x**3 + 0 + 1/39*x**4 - 1/130*x**5 - 14*x - y*x**2. Factor l(z).
-2*(z - 2)*(z - 1)*(z + 1)/13
Let t(g) be the first derivative of -7/2*g**2 + 1/20*g**5 - 1/6*g**3 - 15*g + 27 + 7/12*g**4. Let y(z) be the first derivative of t(z). Factor y(h).
(h - 1)*(h + 1)*(h + 7)
Let m be ((-53)/1908*80)/(4/(-3)). Suppose -2/3*x**4 + 0*x + m*x**3 + 0 - 5/3*x**5 + 2/3*x**2 = 0. Calculate x.
-1, -2/5, 0, 1
Let x be 128 + 1/1 + -2. Factor 128*a**3 + a**2 - x*a**3 - 12*a - 12*a**2.
a*(a - 12)*(a + 1)
Let a(y) be the second derivative of 5/4*y**4 - 2*y**3 + 0 + 13*y + 0*y**2 - 3/20*y**5. What is f in a(f) = 0?
0, 1, 4
Let z(k) be the second derivative of k**4/4 - 51*k**3/2 + 75*k**2 + 8007*k. Suppose z(j) = 0. Calculate j.
1, 50
Let y(l) = -33*l**2 - 69*l - 18. Let h(o) = 2*o**2 + 1. Suppose -m - u + 24 = u, 5*u = 4*m - 57. Let p(g) = m*h(g) + y(g). Determine c, given that p(c) = 0.
0, 23
Let c(b) be the second derivative of -b**4/16 + 255*b**3/8 + 771*b**2/4 - 12*b - 43. Factor c(w).
-3*(w - 257)*(w + 2)/4
Let s = -141407 + 424231/3. Find q, given that 0 + 0*q + s*q**3 - 1/3*q**4 - 25/3*q**2 = 0.
0, 5
Suppose 33 = 44*q + 38*q - 131. Factor -2/3*i**q - 8/3*i + 0.
-2*i*(i + 4)/3
Suppose 5*q = -10*q - 45. Let l be ((-12)/(-10))/q + (-192)/(-30). What is x in 0 - 9/2*x**3 + l*x - 3/2*x**4 + 0*x**2 = 0?
-2, 0, 1
Let v = -301/24 - 26131/24. Let i = v - -1104. Find m such that 4*m**2 - 16/3 - 2/3*m**4 - 2/3*m**3 + i*m = 0.
-2, 1, 2
Let w = 2198415/1444 - -75/1444. Let n = -1521 + w. Solve 0*x + n*x**2 - x**3 + 0 - 1/2*x**4 = 0.
-3, 0, 1
Let q be -12 + (13 - 18) - -19. Let f(r) be the first derivative of 8/9*r**4 + 21 + 0*r - 2/9*r**q - 2/5*r**5 - 10/27*r**3. Factor f(t).
-2*t*(t - 1)**2*(9*t + 2)/9
Let p(s) = 4*s**2 - 2786*s - 1358. Let l(m) = -m**2 + 557*m + 272. Let g(c) = 16*l(c) + 3*p(c). Factor g(t).
-2*(t - 139)*(2*t + 1)
Let a be ((-1092)/56)/((1/(-1))/6). Determine h so that 3 - 45*h + a*h - 54*h + 24*h**2 = 0.
-1/2, -1/4
Let l(n) = -4*n**3 + 944*n**2 + 111386*n + 110452. Let c(o) = -15*o**3 + 2833*o**2 + 334156*o + 331357. Let p(t) = 2*c(t) - 7*l(t). What is q in p(q) = 0?
-235, -1
Let a(g) be the second derivative of g**7/63 - 2*g**6/45 - 11*g**5/15 - 8*g**4/9 + 7*g**3/3 + 6*g**2 - 8543*g. What is h in a(h) = 0?
-3, -1, 1, 6
Let u = -23983/140 - 27/140. Let v = -167 - u. Factor 3/4*g**2 - v*g + 27/4.
3*(g - 3)**2/4
Factor 3364*j + 4170*j**2 - 6707*j + 344*j**3 - 44*j**3 + 5*j**4 - 14415 - 7197*j.
5*(j - 3)*(j + 1)*(j + 31)**2
Let c be 7/(-1) + 9/1. Factor c*g**2 + 22 - 9*g - g + 38*g - 4*g.
2*(g + 1)*(g + 11)
Let z be (5928/(-2470))/((-21)/10). Let x(w) be the first derivative of 4/7*w**2 - z*w + 1/7*w**4 - 19 + 2/3*w**3. Factor x(f).
2*(f + 2)**2*(2*f - 1)/7
Let m(z) be the third derivative of 0 + 0*z - 1/15*z**4 - 214*z**2 - 1/5*z**3 - 1/150*z**5. Determine b, given that m(b) = 0.
-3, -1
Let r be (-696 + 1)*18/(-81)*-9. Let h = -1386 - r. Solve -1/4*a**5 + 0 + 5/4*a**h - 1/2*a + 7/4*a**2 - 9/4*a**3 = 0 for a.
0, 1, 2
Suppose 0 = -10*y - 4*m + 84, -2*m + 728 - 704 = -4*y. Factor 5/4*v**y + 0 - 30*v.
5*v*(v - 24)/4
Suppose -5*w = 724 - 644. Let x be w/4*(-5)/30. Factor -1/3 + 0*u**2 - 2/3*u + 1/3*u**4 + x*u**3.
(u - 1)*(u + 1)**3/3
Let g = -125537 - -125539. Factor -8/11 - 40/11*o**3 - 40/11*o - 8/11*o**4 - 6*o**g.
-2*(o + 2)**2*(2*o + 1)**2/11
Find k such that -33/7*k**2 + 64/7*k - 2*k**3 - 4 + 11/7*k**4 = 0.
-2, 1, 14/11
Let 0 - 9/4*w**2 - 7/2*w - 1/4*w**3 = 0. Calculate w.
-7, -2, 0
Suppose -157*b = -149*b - 1960. Let a = -242 + b. Factor 3/5*i**a - 15 + 21*i - 33/5*i**2.
3*(i - 5)**2*(i - 1)/5
Let k(s) be the second derivative of s**8/20160 - 7*s**6/2160 - s**5/60 - 63*s**4/4 + s - 95. Let q(d) be the third derivative of k(d). Solve q(t) = 0 for t.
-2, -1, 3
Determine p so that 30*p**3 - 3345*p**2 - 470 + 87*p**3 - 47*p**3 + 2595*p = 0.
2/7, 1/2, 47
Let c(l) = 2*l**2 + 20*l + 18. Let b(r) = r**2 + 1. Let j(o) = -4*b(o) + c(o). Let q be j(10). Factor -36*y + 4 + 14*y + 6 - 2*y**3 + q*y**2.
-2*(y - 5)*(y - 1)**2
Let n(p) be the third derivative of -7*p**7/60 - 133*p**6/120 + 41*p**5/30 - p**4/2 + 4*p**2. Determine q so that n(q) = 0.
-6, 0, 2/7
Let l(p) be the second derivative of -p**7/63 - 5*p**6/9 + 27*p**5/10 - 83*p**4/18 + 28*p**3/9 - 1808*p. Factor l(d).
-2*d*(d - 1)**3*(d + 28)/3
Let v(s) = -8*s - 9*s + 1 + 12*s - s**2. Let m be v(-4). Factor m*q + 4 - 3*q**3 + 41*q**2 - 46*q**2 - q.
-(q - 1)*(q + 2)*(3*q + 2)
Determine z, given that -1248/7*z**2 - 3/7*z**5 - 189*z - 66/7*z**4 - 486/7 - 474/7*z**3 = 0.
-9, -2, -1
Let u(r) be the first derivative of r**6/1260 + 3*r**5/20 + 245*r**3/3 - 134. Let z(p) be the third derivative of u(p). Factor z(t).
2*t*(t + 63)/7
Let o = 3524492/39 + -90366. Let j = -10/39 + o. Determine t so that 2/3*t**5 - j + 0*t**4 - 14/3*t**3 + 4/3*t**2 + 8*t = 0.
-2, 1, 2
Suppose -6 = 9*f - 11*f. Suppose -2*b = 3*n - 8, 7*n - 3*n = 0. Find l such that 8*l - 3*l**b + 4/3 + 35/3*l**2 - 2*l**f = 0.
-2, -1/3, 2
Let g(p) = p**3 - p. Let b(x) = -x**4 + 4*x**3 + 31*x**2 - 34*x. Let s(a) = b(a) - 4*g(a). Determine v, given that s(v) = 0.
-6, 0, 1, 5
Let s(r) be the third derivative of r**7/210 + 41*r**6/80 + 115*r**5/8 - 332*r**4/3 - 256*r**3 - 67*r**2 - 3. Find c such that s(c) = 0.
-32, -1/2, 3
Let x be 0*(-14 - -8 - -7)*1/2. Let i(h) be the third derivative of -1/40*h**6 + 0 - 1/30*h**5 + 0*h - 1/210*h**7 + 0*h**4 + 24*h**2 + x*h**3. Factor i(m).
-m**2*(m + 1)*(m + 2)
Let i be (174/(-45))/(-29) + 44/110. Factor -2/15*v**2 + i*v + 2/3.
-2*(v - 5)*(v + 1)/15
Let w be (1494/(-1992))/((-21)/8). Let 0 + 0*f - 10/21*f**3 - w*f**2 - 2/21*f**4 + 2/21*f**5 = 0. What is f?
-1, 0, 3
Let q(f) be the third derivative of -2*f**7/945 + 11*f**6/270 + 4*f**5/135 - 22*f**4/27 + 3*f**2 + 5*f - 13. Find m, given that q(m) = 0.
-2, 0, 2, 11
Let f = -1169/52 + 6209/260. Factor -41/5*w - 6/5*w**2 + f.
-(w + 7)*(6*w - 1)/5
Suppose 65*d = 54*d. Let r be d + (-20)/50 + 2. Factor 6/5*k**2 + 0*k - 2/5*k**3 - r.
-2*(k - 2)**2*(k + 1)/5
Let d(r) be the second derivative of r**7/1960 - r**6/210 + r**5/56 - r**4/28 - 50*r**3/3 - 4*r - 2. Let b(c) be the second derivative of d(c). Factor b(k).
3*(k - 2)*(k - 1)**2/7
Let x(t) = -18 + 12*t - 15*t**2 - 49*t - 73. Let a(h) = -8*h**2 - 18*h - 46. Let c(o) = -11*a(o) + 6*x(o). Factor c(v).
-2*(v + 2)*(v + 10)
Suppose -4*c + 9*c = 0. Suppose -5*w + 2*f - 5*f + 41 = 0, -4*w + 5*f + 18 = c. Factor 4*u**2 + w*u - 3*u + 8*u.
4*u*(u + 3)
Factor 56*d**2 + 4*d**5 + 354438*d**4 + 354492*d**4 - 108*d**3 - 708882*d**4.
4*d**2*(d - 1)**2*(d + 14)
Let r = 22/41 + 382/205. Let z(c) be the first derivative of 3 + c**4 + 2/3*c**6 + 4*c**3 - r*c**5 - 4*c**2 + 0*c. Determine o, given that z(o) = 0.
-1, 0, 1, 2
Solve 30 - 5/4*g**2 - 25/4*g = 0 for g.
-8, 3
Let q(k) = 4*k**4 + 67*k**3 + 37*k**2 - 2688*k + 4603. Let n(y) = -2*y**4 - 34*y**3 - 18*y**2 + 1344*y - 2302. Let t(l) = 5*n(l) + 2*q(l). Factor t(z).
-2*(z - 4)*(z - 2)*(z + 12)**2
Suppose n = -27 + 29. Let i be (1324/213826)/((-2)/(-38)). Factor 4/17*v**3 - 2/17*v + i*v**n + 0.
2*v*(v + 1)*(2*v - 1)/17
Let m(q) = q**3 - 2*q**2 + q. Let g(d) = d**3 - 12*d**2 + 33*d - 22. Suppose 3*f + w = -4, 2*w + 2 = -3*f - 0. Let s(t) = f*g(t) + 4*m(t). Factor s(r).
2*(r - 2)*(r - 1)*(r + 11)
Let g(j) be the second derivative of j**4/48 + 7*j**3/2 - 43*j**2/2 - 2960*j. Factor g(y).
(y - 2)*(y + 86)/4
Le