50 + d**6/200 - 4*d**5/25 - 2*d**4/5 - 26*d**2 + 22*d. Solve n(o) = 0 for o.
-4, -1, 0, 4
Suppose -30*m = -26*m - 5*z + 1872, 2*m = z - 936. Let n = -466 - m. Determine y so that -n*y - 16/3*y**2 + 2*y**3 + 0 = 0.
-1/3, 0, 3
Let o(w) be the third derivative of 0 - 29/3*w**4 - 32/3*w**3 - 1/10*w**6 - 31/15*w**5 + w - 27*w**2. Solve o(y) = 0.
-8, -2, -1/3
Let r be 465/35 - 5*2/35. Let d be 12/8 + (91/(-6))/r. Factor d - 1/3*l**2 + 0*l.
-(l - 1)*(l + 1)/3
Suppose -5*c - 2437 = -3*o, -5*o - 918 = 4*c + 1002. Let g = c - -10189/21. Find r such that 0 + 2/21*r**2 - g*r = 0.
0, 2
Let s(a) be the first derivative of 5 - 3/7*a**4 + 1/21*a**6 - 18/7*a + 6/35*a**5 - 27/7*a**2 - 52/21*a**3. Solve s(z) = 0.
-3, -1, 3
Let u = 68 - 61. Let t = 56 - u. Factor -31*z - 10*z - 22*z - 15*z**2 - t + 49*z**3 - 50*z**3.
-(z + 1)*(z + 7)**2
Let u(k) be the second derivative of k**5/20 - 187*k**4/12 + 31*k**3 - 2469*k. What is q in u(q) = 0?
0, 1, 186
Suppose -18*g + 15*g = -12. Let d(x) = x**3 - 5*x**2 + 6*x - 6. Let v be d(g). Factor 680*b + 98*b**3 + 49 + 698*b**v - 328*b**2 + 862*b**2 + 47.
2*(b + 12)*(7*b + 2)**2
Let f(j) be the third derivative of 13*j**5/90 - 281*j**4/36 - 110*j**3/9 - 2*j**2 + 2022*j - 1. Suppose f(y) = 0. What is y?
-5/13, 22
Suppose x + 1 = 2, -42 = -4*n + 2*x. Suppose i + 1 = 3*a, -n = 2*a - 0*a - 3*i. Factor -365*c**3 - 16*c**a - 9*c + 361*c**3 + 4*c**4 + 2*c**5 - 4 - 5*c.
2*(c - 2)*(c + 1)**4
Let l = -1706 - -1708. Let t(i) be the second derivative of 0*i**l + 0 - 1/42*i**4 + 2/21*i**3 + 3*i. Factor t(y).
-2*y*(y - 2)/7
Find s, given that -198/7*s - 596/21 + 2/21*s**2 = 0.
-1, 298
Let j be 36/(-16)*(-888)/111. Factor 52/3 + j*v + 2/3*v**2.
2*(v + 1)*(v + 26)/3
Let f = 1/18 - -4/9. Let z = 17628 + -17624. Factor 0 + f*m**3 + 0*m - 1/4*m**2 - 1/4*m**z.
-m**2*(m - 1)**2/4
Let 14*c**2 - c**3 + 28 - 15*c**2 + 34*c**2 - 94163*c**4 + 94162*c**4 - 59*c = 0. Calculate c.
-7, 1, 4
Let b be ((4 + 8)/3 - -3)*1. Let a(l) = 12*l**2 + 38*l + 8. Let o(v) = 13*v**2 + 37*v + 7. Let s(q) = b*a(q) - 6*o(q). Factor s(h).
2*(h + 7)*(3*h + 1)
Let p = 250 - 230. Let 5 - 5 + 283*x - p*x**2 - 5*x**3 + 5*x**4 - 263*x = 0. Calculate x.
-2, 0, 1, 2
Let f(d) be the first derivative of -15 + 1/3*d**3 + 0*d + 1/2*d**2 + 1/4*d**4. Let b(r) = -36*r**3 - 4*r**2 + 18*r - 8. Let i(m) = b(m) + 6*f(m). Factor i(o).
-2*(o + 1)*(3*o - 2)*(5*o - 2)
Suppose 0 = -j - a + 770, 59*a - 752 = -j + 64*a. Let l = 770 - j. Find c such that -1/5*c + 1/5*c**l - 7/10*c**4 + 0 + 7/10*c**2 = 0.
-1, 0, 2/7, 1
Let r(m) = -5*m**3 - 2665*m**2 + 5. Let p(z) = -5*z**3 - 2664*z**2 + 4. Let n(x) = -5*p(x) + 4*r(x). Factor n(j).
5*j**2*(j + 532)
Let n be ((-4)/(-3))/(-4) - (35/75 - 1). Let a(f) be the first derivative of -1/4*f**4 + 1/2*f**2 + 2*f + 5 - f**3 + n*f**5. Factor a(o).
(o - 2)*(o - 1)*(o + 1)**2
Suppose -4*i = -0*i - 20. Suppose i*j + 32 = 7*j. Find y, given that -9*y**2 - j + 2*y**3 + 0*y + 2*y**3 + 24*y - 3*y**3 = 0.
1, 4
Suppose -553*s - 270*s = -3907 + 615. Let 1/5*h**s + 4/5*h**3 - 3/5*h**2 + 8/5 - 2*h = 0. What is h?
-4, -2, 1
Let s(f) be the first derivative of f**6/2 - 27*f**5/5 - 99*f**4/4 - 35*f**3 - 18*f**2 + 1782. Factor s(m).
3*m*(m - 12)*(m + 1)**3
Let j(t) = -772*t - 1546. Let q(o) = o**2 + 3089*o + 6183. Let y(l) = 9*j(l) + 2*q(l). Suppose y(w) = 0. What is w?
-2, 387
Let p be (4 - 77/35)/((-1)/(-5)). Suppose -p*m - 21*m**4 - 53*m**3 + 15*m**3 - 39*m**2 - 2*m - 13*m**3 + 2*m = 0. Calculate m.
-1, -3/7, 0
Factor 22*z**2 - 3*z**3 - 40 - 15*z - z + 11*z**3 - 10*z**3.
-2*(z - 10)*(z - 2)*(z + 1)
Let p(z) be the first derivative of 16/7*z - 10/21*z**2 + 2/63*z**3 + 55. Factor p(j).
2*(j - 6)*(j - 4)/21
Let p(l) = l**3 - 4*l**2 - 54*l + 180. Let z be p(8). Let a(g) be the first derivative of z*g**3 + 34 - 3/2*g**4 + 0*g + 8*g**2 - 2/5*g**5. Factor a(v).
-2*v*(v - 2)*(v + 1)*(v + 4)
Suppose -14*t + 2267 = 419. Suppose -14*d**2 - t*d + 4*d**4 - 78*d**2 - 34 + 0*d**2 - 12*d**3 - 22 = 0. What is d?
-2, -1, 7
Suppose 126 = -69*z + 87*z. Suppose 3*l = -i + z, -20*i + 22*i = -2*l - 2. Determine q, given that -4*q**3 + 0 + 8/3*q**2 - 2/3*q + 8/3*q**l - 2/3*q**5 = 0.
0, 1
Suppose h + 10 = 4*d, 4*d = -0*h + 5*h + 18. Solve 2*p**3 + 2*p**3 - 3*p - 2*p**2 - 218*p**5 + 217*p**5 + d = 0 for p.
-2, -1, 1
Let p(y) be the third derivative of y**6/660 + 2*y**5/15 + 85*y**4/132 + 14*y**3/11 + y**2 - 176*y. What is k in p(k) = 0?
-42, -1
Let v(u) be the second derivative of -u**7/15120 + u**6/864 - u**5/180 + 35*u**4/3 + 15*u + 3. Let n(k) be the third derivative of v(k). Factor n(a).
-(a - 4)*(a - 1)/6
Let h(m) = 22*m**2 + 11*m - 20. Let t be h(2). Suppose 0 = 20*f + 10 - t. Factor 0*g**f + 0*g**2 - 4/7*g**3 + 2/7*g + 2/7*g**5 + 0.
2*g*(g - 1)**2*(g + 1)**2/7
Let o(p) be the first derivative of -9/16*p**2 - 7/16*p**4 - 1/48*p**6 - 1/4*p - 2/3*p**3 - 58 - 3/20*p**5. Factor o(n).
-(n + 1)**4*(n + 2)/8
Let s(y) = 3*y**4 - 75*y**3 + 157*y**2 + 228*y - 63. Let u(x) = -x**4 + 37*x**3 - 79*x**2 - 114*x + 27. Let j(v) = -3*s(v) - 7*u(v). Factor j(h).
-2*h*(h - 3)*(h + 1)*(h + 19)
Suppose -5*u - 108 = s, -s - 3*s + 30 = -2*u. Let l be -3 + (-72)/u*28/8. Factor 2*m**2 - 11*m**2 + 0 + l*m + 6*m**2 - 6.
-3*(m - 2)*(m - 1)
Suppose 0 = -49*g - 10*g - 49*g + 432. Let k = 4323/1205 + 3/241. Factor 0 - 2/5*b**g - 6/5*b**3 - 2*b + k*b**2.
-2*b*(b - 1)**2*(b + 5)/5
Let n(f) be the first derivative of -f**6/60 - 13*f**5/30 - 55*f**4/12 - 25*f**3 + 35*f**2/2 + 72. Let r(o) be the second derivative of n(o). Factor r(u).
-2*(u + 3)*(u + 5)**2
Let j = -192/11 + 3095/33. Let n = j - 71. Let -8/3*g**3 - 8*g**2 - n - 32/3*g - 1/3*g**4 = 0. What is g?
-2
Let o(t) be the second derivative of -t**5/20 - 16*t**4/3 - 173*t**3/6 + 305*t**2 - 4940*t. Factor o(g).
-(g - 2)*(g + 5)*(g + 61)
Factor -4*t**4 + 32*t**3 - 55232*t**2 + 55184*t**2 + 20*t**3.
-4*t**2*(t - 12)*(t - 1)
Let k = 5 + 1517. Suppose -k + 1467 = -11*i. Find s such that 2/11*s**2 + 0*s + 6/11*s**4 + 6/11*s**3 + 0 + 2/11*s**i = 0.
-1, 0
Let t = -303 - -299. Let h be t/(-14) - 1122/(-385). Find q such that -43/5*q**3 - 56/5*q - 11/5*q**4 - h - 73/5*q**2 - 1/5*q**5 = 0.
-4, -1
Solve -1953*y**2 + 330*y**4 - 5*y**5 - 20807*y**2 + 10418*y - 26911*y - 13432*y - 4750*y**3 - 12250 = 0.
-2, -1, 35
Find o, given that 114 + 2/5*o**3 + 1142/5*o + 574/5*o**2 = 0.
-285, -1
Let n(w) be the first derivative of -w**3/30 + 59*w**2/20 + 61*w/5 + 1333. Factor n(t).
-(t - 61)*(t + 2)/10
Suppose 127*a = 123*a - 3*j + 33, 8*a - 77 = 5*j. Factor 3/8*p**2 + a*p + 0.
3*p*(p + 24)/8
Let x = -28974/13 + 57987/26. Factor 0 + 5*p**3 + 0*p + 4*p**2 - x*p**4.
-p**2*(p - 4)*(3*p + 2)/2
Suppose 41/6*a**3 + 1/3*a**4 + 49 + 721/6*a + 143/3*a**2 = 0. Calculate a.
-7, -6, -1/2
Let z be (-108)/8*-1*(-13 - -15). Solve z*h**4 - 238*h - 39*h**4 + 112*h**3 + 38*h - 220*h**2 = 0 for h.
-2/3, 0, 5
Let h(r) be the first derivative of -7*r**4/2 + 384*r**3 - 11931*r**2 + 6724*r + 186. Factor h(d).
-2*(d - 41)**2*(7*d - 2)
Let p be (-24)/(-264)*-22 + ((-162)/(-21))/3. Determine q so that -p + 8/7*q - 4/7*q**2 = 0.
1
Factor 19*q**2 + 113*q**3 - 295*q**2 - 115*q**3.
-2*q**2*(q + 138)
Let j(y) = -y + 7. Let f(s) = 2*s**2 - 68*s + 630. Let c(g) = f(g) + 6*j(g). What is l in c(l) = 0?
16, 21
Suppose -15*a - 54 = -6*a. Let l be 108/(-810)*a/4. Factor l*r**3 + 0 + 1/5*r**2 + 0*r.
r**2*(r + 1)/5
Let v(d) be the third derivative of 11*d**6/180 + 2903*d**5/90 + 15950*d**4/3 - 1936*d**3 + 87*d**2 + 36*d. Find b, given that v(b) = 0.
-132, 1/11
Let a(y) be the first derivative of -y**5/70 + y**4/3 - 8*y**3/7 + 116*y + 170. Let n(k) be the first derivative of a(k). Factor n(l).
-2*l*(l - 12)*(l - 2)/7
Let m(a) be the second derivative of a**7/7 - 297*a**6/10 + 1665*a**5 - 1369*a**4 + 11*a - 78. What is b in m(b) = 0?
0, 1/2, 74
Let y = 2620153/1746766 + -2/873383. Suppose -3*z**3 + y*z + 0*z**4 + 0*z**2 + 3/2*z**5 + 0 = 0. What is z?
-1, 0, 1
Let j(b) be the first derivative of 0*b**2 + 10 + 0*b - 1/5*b**5 - 1/3*b**3 - 1/2*b**4. Factor j(t).
-t**2*(t + 1)**2
Suppose 0 - 19/4*n - 15*n**3 - 29/2*n**2 - 11/2*n**4 - 1/4*n**5 = 0. Calculate n.
-19, -1, 0
Let t(z) be the first derivative of -1/2*z**4 - z**3 + 1/10*z**5 + 5/2*z + 77 + z**2. Let t(i) = 0. What is i?
-1, 1, 5
Suppose 4*y + 3*u - 17 = 0, -3*u = -5*y + y + 47. Let d be