e 636870/(-63720) + (-2)/(-9). Let m = -4/177 - q. Factor 507/4*f + 1/4*f**3 + m*f**2 + 2197/4.
(f + 13)**3/4
Factor -8/13*m**2 - 8/13*m - 2/13*m**3 + 0.
-2*m*(m + 2)**2/13
Let -136*z**2 + 67*z**2 + 37*z + 77*z**2 + 64*z - 4*z**3 - z - 200 = 0. What is z?
-5, 2, 5
Let b be (0 + 4)*(2359/196 - 12). Suppose -2 = -3*p - 2*l, -12 = -5*p - 4*l + 5*l. Determine t, given that 2/7*t - b*t**p + 0 = 0.
0, 2
Let z be (10 - (-19573)/(-2070)) + 36/(-81). Suppose 7/5 - z*y**2 + 1/2*y = 0. Calculate y.
-2, 7
Let o(p) be the first derivative of -44*p**2 + 1/3*p**3 + 1936*p - 144. Suppose o(q) = 0. Calculate q.
44
Suppose 53230*m**5 + 108*m**4 - 106462*m**5 - 180*m**2 - 272*m**3 - 204*m**2 + 53228*m**5 = 0. Calculate m.
-1, 0, 4, 24
Suppose 2703 - 5257 = -772*m - 577*m + 2842. Solve -15/2*z**2 - 23/2*z + 1/2*z**m - 1/2*z**3 - 5 = 0 for z.
-2, -1, 5
Factor 600/7*x + 0 + 6/7*x**2.
6*x*(x + 100)/7
Let t be 58/18 - 2/9. Let v be (-34)/((-1020)/62) + ((-100)/12)/5. Find s, given that 0 + 4/5*s**t + 0*s + 0*s**2 + v*s**4 = 0.
-2, 0
Let k(i) be the third derivative of -i**5/480 + 2*i**4/3 - 21*i**3/4 - 8*i**2 - 2. Solve k(z) = 0.
2, 126
Let y(h) be the third derivative of -h**5/420 - 1091*h**4/168 + 1093*h**3/21 - 7*h**2 + 2*h + 6. Determine f, given that y(f) = 0.
-1093, 2
Let g = 17/874 - -193/1311. Let q(a) be the third derivative of -8*a**2 + 0*a + 0 - g*a**4 - 4/5*a**3 + 2/75*a**5 + 1/150*a**6. Factor q(p).
4*(p - 2)*(p + 1)*(p + 3)/5
Let x = -6240 - -6245. Let f(b) be the first derivative of -2/7*b**4 + 2/35*b**x - 32/7*b + 16/7*b**2 + 0*b**3 - 20. Find w such that f(w) = 0.
-2, 2
Let y(r) be the third derivative of 149*r**2 + 1/20*r**5 - 49/4*r**4 + 0*r + 0 + 2401/2*r**3. Determine c, given that y(c) = 0.
49
Let r(v) be the first derivative of 2*v**5/15 + 11*v**4/6 + 62*v**3/9 + 7*v**2 + 1258. Factor r(u).
2*u*(u + 1)*(u + 3)*(u + 7)/3
Let n = 988093/658730 + 1/329365. Let n*a + 0 - a**3 + 5/2*a**2 = 0. Calculate a.
-1/2, 0, 3
Let z be 10935/(-162)*3/(-54). Factor -1/4*y**3 - z*y**2 + 1/4*y + 15/4.
-(y - 1)*(y + 1)*(y + 15)/4
Let u(p) be the second derivative of p**6/90 + p**5/5 + 4*p**4/3 + 46*p**3/3 + p + 22. Let s(z) be the second derivative of u(z). Suppose s(g) = 0. Calculate g.
-4, -2
Let n(u) be the first derivative of u**4/2 - 82*u**3/3 - 86*u**2 + 966. Factor n(x).
2*x*(x - 43)*(x + 2)
Suppose -39*u + 51*u = 0. Find i such that -5*i**2 + u*i**2 - 6*i - 21*i - 200 + 232*i = 0.
1, 40
Let n be (2556/3976)/(1 - (-1259)/(-1253)). Let c = -134 - n. Factor c*d**2 - 1/2 + 1/4*d.
(d - 1)*(d + 2)/4
Factor -64304*p**2 + 40*p**3 - 3*p**4 + 41*p**3 + 64784*p**2.
-3*p**2*(p - 32)*(p + 5)
Let f(i) be the first derivative of 0*i - 11/3*i**3 - 3/28*i**4 + 0*i**2 - 15 + 1/70*i**5 - 1/1260*i**6. Let g(p) be the third derivative of f(p). Factor g(o).
-2*(o - 3)**2/7
Let g(f) be the first derivative of f**5 - 95*f**4/4 - 200*f**3 - 49. Factor g(r).
5*r**2*(r - 24)*(r + 5)
Factor -6*v + 15 + 1/3*v**2.
(v - 15)*(v - 3)/3
Factor -1/5*h**2 + 49/5 + 0*h.
-(h - 7)*(h + 7)/5
Let i(m) be the second derivative of -m**6/50 + 39*m**5/50 - 36*m**4/5 - 5008*m. Find s, given that i(s) = 0.
0, 8, 18
Suppose -392467*m**4 + 2*m + 148*m**2 + 150*m**3 + 392519*m**4 + m**5 - 14*m + 61*m = 0. What is m?
-49, -1, 0
Factor -1152 - 34*i**2 + 480*i + 2/3*i**3.
2*(i - 24)**2*(i - 3)/3
Let i be 2/(-2)*4 + (-4 - -10). Suppose 17*m - m - 4*m**2 + 7*m - 24 + 5*m**i = 0. Calculate m.
-24, 1
Let z(d) be the second derivative of 7 + 24/11*d**2 + 3/22*d**4 - 26/33*d**3 - 10*d - 1/110*d**5. Factor z(t).
-2*(t - 4)*(t - 3)*(t - 2)/11
Let x(q) be the first derivative of q**5/5 - 67*q**3/3 + 63*q**2 - 9444. Factor x(u).
u*(u - 7)*(u - 2)*(u + 9)
Find t, given that -780 - 207/2*t - 3/4*t**2 = 0.
-130, -8
Let g(w) = w**3 + 68*w**2 + 10*w - 3809. Let x be g(-67). Let 150 + x*a + 1/6*a**2 = 0. Calculate a.
-30
Let w = -105 + 154. Let m = -41 + w. Solve 6*n**2 + 6*n**2 + 4*n - 205*n**4 + 201*n**4 - m - 4*n**3 = 0.
-2, -1, 1
Let g = 6/6073 - -36360/78949. Let m(t) = -t**3 - 3*t**2 + 4*t + 2. Let h be m(-4). What is c in 8/13 + g*c**h - 14/13*c = 0?
1, 4/3
Let m(i) = i**2 + i. Let x(c) = 4*c**3 - 17*c**2 - 77*c - 56. Let q(p) = -p**2 - 21*p - 19. Let a be q(-20). Let h(u) = a*x(u) + m(u). Factor h(n).
4*(n - 7)*(n + 1)*(n + 2)
Let v = -2692831/7 + 384693. Let -72/7*l**4 + 312/7*l**2 - 96/7 + 16*l + 52/7*l**3 - v*l**5 = 0. Calculate l.
-3, -2, -1, 2/5, 2
Suppose 506/5*c + 508/5*c**2 + 2/5*c**3 + 0 = 0. Calculate c.
-253, -1, 0
Suppose 4*t = 6*m - m - 10, 0 = 3*m + t - 6. Let -371 - 7*y**3 + 10 - 24*y**2 + 6*y**3 - 15*y**m - 399*y = 0. What is y?
-19, -1
Let a(o) = 82*o - 734. Let p be a(9). Factor 0 + 3/8*w**3 + 1/2*w**p - 1/2*w - 1/2*w**2 + 1/8*w**5.
w*(w - 1)*(w + 1)*(w + 2)**2/8
Let k(n) = -3*n**3 - n**2 + 5*n + 5. Let t be k(-1). Factor 26 - 16*w**t + w + 27*w - 38.
-4*(w - 1)*(4*w - 3)
Let g(n) be the second derivative of 1/10*n**5 - 258*n + 0 + 0*n**4 - n**3 - 2*n**2. Determine u so that g(u) = 0.
-1, 2
Let y be ((-4)/3)/(10/(-450)). Let t be (-84)/(-45) + 8/y. Let 24*n**t + 9 - 13 - 20*n**2 = 0. What is n?
-1, 1
Let n = 164 + -161. Let u(f) = -f**3 + 4*f**2 - 2*f - 1. Let c be u(2). Factor -8*x - 12*x**2 - 390*x**3 + 198*x**n + 188*x**c.
-4*x*(x + 1)*(x + 2)
Factor 2/13*q**3 - 20/13*q + 2/13*q**2 + 16/13.
2*(q - 2)*(q - 1)*(q + 4)/13
Let c(q) be the second derivative of q**7/504 - q**6/24 - 19*q**4/2 - q + 9. Let o(w) be the third derivative of c(w). Factor o(d).
5*d*(d - 6)
Let h(g) be the third derivative of -11/36*g**4 - 6 - 1/90*g**5 + 0*g - 28/9*g**3 - 5*g**2. Determine q so that h(q) = 0.
-7, -4
Let g(t) be the second derivative of -11*t**9/9072 + 4*t**8/315 + t**7/210 + 101*t**3/6 - 133*t. Let s(b) be the second derivative of g(b). Factor s(h).
-h**3*(h - 6)*(11*h + 2)/3
What is m in -136/3*m**3 + 2566/3*m**2 + 2/3*m**4 - 8576/3*m + 2048 = 0?
1, 3, 32
Let g(v) = 351*v - 2804. Let x be g(8). Let k(r) be the first derivative of -2*r**2 + 1/3*r**3 + 28 + x*r. Factor k(c).
(c - 2)**2
Let b(j) be the second derivative of -5*j**5/4 + 5*j**4/4 + 155*j**3/3 + 60*j**2 - 206*j - 6. Suppose b(m) = 0. What is m?
-3, -2/5, 4
Let a be 0*(42/(-8))/21. Let m(t) be the third derivative of 1/36*t**4 + 0*t + 1/18*t**3 - 12*t**2 + a + 1/180*t**5. Determine u, given that m(u) = 0.
-1
Let n = 10892 + -5554919/510. Let k(o) be the third derivative of 0 + 0*o**4 + 19*o**2 - 2/1785*o**7 - n*o**5 + 0*o**3 + 1/340*o**6 + 0*o. Solve k(r) = 0 for r.
0, 1/2, 1
Let r = 5 + -2. Suppose p = t + 9, 19*t - 40 = -4*p + 21*t. Suppose -18*c**2 - 15*c**r + 17*c**2 + p*c**2 = 0. What is c?
0, 2/3
Let u(l) be the first derivative of l**3/6 + 585*l**2/4 - 587*l + 9702. Suppose u(i) = 0. Calculate i.
-587, 2
Let c(i) be the second derivative of i**4/32 - 39*i**3/16 - 405*i**2/8 - 32*i + 37. Factor c(x).
3*(x - 45)*(x + 6)/8
Let r be -3 - ((-11 - -8) + -94). Factor r*a**2 - 96*a**2 - a + 21*a.
-2*a*(a - 10)
Let m(t) be the second derivative of -t**5/5 - 609*t**4 - 741762*t**3 - 451733058*t**2 + 2*t - 7967. Let m(a) = 0. What is a?
-609
Let d(o) be the second derivative of -1/40*o**5 + 3/4*o**3 + 8*o + 1/120*o**6 - 9/8*o**2 - 1/6*o**4 + 2. Factor d(k).
(k - 3)*(k - 1)**2*(k + 3)/4
Let s(n) = -n**3 + 9*n**2 - n + 11. Suppose -4*f = -2*f - 18. Let h be s(f). Factor r - 16*r - r**h - 4*r**2 + 5*r.
-5*r*(r + 2)
Let g(w) be the first derivative of 3*w**4/8 + 31*w**3 - 3083. Suppose g(t) = 0. Calculate t.
-62, 0
Suppose 0 = -4*k - 8*k - 120. Let x be (2 - (-112)/(-19)) + 14 + k. Solve -2/19*j**2 + x*j + 0 = 0 for j.
0, 1
Let v(w) be the first derivative of 5*w**7/42 - w**5/4 + 94*w + 7. Let f(q) be the first derivative of v(q). Determine a, given that f(a) = 0.
-1, 0, 1
Let b(w) be the first derivative of w**3/12 + 33*w**2/8 + 91*w/2 - 401. Factor b(p).
(p + 7)*(p + 26)/4
Suppose -7*f = -5*f. Let n be 2 + (f - 8)/(-4). Factor 4*t**5 - 11*t**5 + 2*t**3 - t**5 + 6*t**4 + 0*t**n.
-2*t**3*(t - 1)*(4*t + 1)
Let j(r) be the third derivative of -r**5/40 + 17*r**4/16 - 35*r**3/2 - 161*r**2 + 2*r. Suppose j(q) = 0. Calculate q.
7, 10
Factor 3/5*t**2 + 138/5*t + 387/5.
3*(t + 3)*(t + 43)/5
Let p(u) be the second derivative of -1/15*u**5 + 0*u**4 + 1/30*u**6 + 0 + 0*u**3 - 6*u - 9/2*u**2. Let w(x) be the first derivative of p(x). Factor w(f).
4*f**2*(f - 1)
L