*(r + 2)/3
Determine u so that 220/3 - 454/3*u**2 + 8/3*u**3 + 766/3*u = 0.
-1/4, 2, 55
Suppose -74/7*d**2 - 10/7*d**3 + 152/7*d + 72/7 = 0. What is d?
-9, -2/5, 2
Let s(k) be the second derivative of k**6/225 + 13*k**5/50 - 2*k**4/3 + 2*k**3/3 - k**2/2 + 13*k - 5. Let n(l) be the second derivative of s(l). Factor n(v).
4*(v + 20)*(2*v - 1)/5
Let p(h) be the second derivative of -h**4/3 - 11380*h**3/3 - 16188050*h**2 - 9839*h. Suppose p(x) = 0. What is x?
-2845
Let b(s) be the third derivative of -s**8/112 - 2*s**7/35 + 4*s**6/5 + 11*s**5/2 - 175*s**4/8 - 125*s**3 + 2728*s**2. Solve b(y) = 0 for y.
-5, -1, 2, 5
Let m = -264 + 835. Factor 295*a**2 + 30*a**4 + m*a**2 + 134*a**2 + a**5 + 300*a**3.
a**2*(a + 10)**3
Let k = -228697/5 + 45740. What is c in -6/5*c**2 + 9/5*c + 0 - k*c**3 = 0?
-3, 0, 1
Suppose -790 = -255*k + 1250. Let h(r) be the second derivative of -k*r**2 + 0 + r**4 + 13*r + 22/3*r**3. Solve h(q) = 0.
-4, 1/3
Let l(x) be the second derivative of x**5/35 + x**4/7 - 8*x**2/7 - 159*x. Let l(w) = 0. What is w?
-2, 1
Let m(h) = -3437*h - 216529. Let d be m(-63). Suppose 484/5 + 44/5*l + 1/5*l**d = 0. Calculate l.
-22
Let z(f) be the third derivative of -116*f**2 + 1/945*f**7 + 0*f**4 + 0*f + 0*f**3 - 1/54*f**5 + 0 + 1/135*f**6. Solve z(d) = 0.
-5, 0, 1
Let x = 14499/71720 + -31/14344. Find v such that -1/5*v - x + 1/5*v**2 + 1/5*v**3 = 0.
-1, 1
Let j(k) be the first derivative of k**6/12 + 11*k**5/10 - 23*k**4/4 - 28*k**3/3 - 11379. Determine f, given that j(f) = 0.
-14, -1, 0, 4
Let o(m) be the third derivative of 0*m**3 + 0*m**4 - 15*m + 0 - 1/360*m**5 - 1/2016*m**8 - m**2 + 1/720*m**6 + 1/1260*m**7. Let o(n) = 0. What is n?
-1, 0, 1
Let f(q) = q**2 - 2*q**2 - 1 - 5532*q**3 + 5533*q**3. Let u(v) = -24*v**2 + 4*v**3 - 20 - 2 + 3 + 40*v. Let w(m) = f(m) + u(m). Factor w(p).
5*(p - 2)**2*(p - 1)
Let t(j) be the third derivative of 1/1575*j**7 + 107/150*j**5 + 0 + 115*j**2 - 136/45*j**4 + 256/45*j**3 - 17/450*j**6 + 0*j. Factor t(m).
2*(m - 16)**2*(m - 1)**2/15
Factor -6*t**2 - 44*t - 4*t**3 + 30*t**2 - 16538 + 16562.
-4*(t - 3)*(t - 2)*(t - 1)
Let i = -109952/5 - -22003. Find n such that 81/5 - i*n - 1/5*n**3 - 17/5*n**2 = 0.
-9, 1
Let t(r) be the first derivative of r**4/3 + 772*r**3 + 501120*r**2 - 3027600*r + 1023. What is l in t(l) = 0?
-870, 3
Let b(o) be the third derivative of 5*o**8/672 - 3*o**7/28 - o**6/48 + 3*o**5/8 - 1159*o**2. Find j, given that b(j) = 0.
-1, 0, 1, 9
Factor -464 + 4*x**4 - 1388*x - 943*x**2 - 385*x**2 - 562*x**3 - 14*x**2 + 110*x**3 - 38*x**2.
4*(x - 116)*(x + 1)**3
Let l(o) be the third derivative of o**6/240 + 37*o**5/120 - 41*o**4/12 - o**2 - 4639. Factor l(i).
i*(i - 4)*(i + 41)/2
Let i(u) be the third derivative of 2*u**6/75 + 1714*u**5/25 + 3427*u**4/40 + 257*u**3/6 - 5*u**2 + 1218. Factor i(f).
(f + 1285)*(4*f + 1)**2/5
Let -1/3*n**4 + 6*n - 31/3*n**2 + 32/3 - 6*n**3 = 0. Calculate n.
-16, -2, -1, 1
Let a(w) be the second derivative of -19*w**7/840 - 17*w**6/240 + w**5/20 + w**4/6 - 9*w**2 + 45*w. Let o(r) be the third derivative of a(r). Factor o(h).
-3*(h + 1)*(19*h - 2)
Factor 21*r + 441/2 + 1/2*r**2.
(r + 21)**2/2
Suppose -2*d = -13 - 15. Suppose 0 = -d*u + 1605 + 1419. Find z such that -u*z**4 + 4 + 215*z**4 + z**2 - 11*z + 8*z**2 - z**3 = 0.
-4, 1
Suppose -24*y = -21*y. Suppose 4*x + 5*t = 70, y = -0*x + x + t - 17. Factor -6*p**2 + 11*p**2 + 16*p**2 + 42*p + x*p - 18.
3*(p + 3)*(7*p - 2)
Let t(a) be the third derivative of a**5/300 - 13*a**4/24 - 111*a**3/5 - a**2 - 4*a - 48. Factor t(q).
(q - 74)*(q + 9)/5
Factor -187 + m**2 + m**2 + 766*m + 852 - 389 + 1248.
2*(m + 2)*(m + 381)
Suppose 29*j - 24*j - 10 = 0. Suppose 3*d = -0*d + 12, -5*m - d = -19. Determine x so that 0 + 2*x**2 + m + 7*x + x**j - x**2 = 0.
-3, -1/2
Determine l so that -11/3*l + 1/6*l**4 + 0*l**2 + 5/2 + l**3 = 0.
-5, -3, 1
Let b(n) = -n**3 - 1864*n**2 + 2479*n - 624. Let r(v) = 932*v**2 - 1238*v + 312. Let h(f) = 3*b(f) + 5*r(f). Factor h(l).
-(l - 1)*(l + 312)*(3*l - 1)
Factor 2516/7 - 2512/7*s - 4/7*s**2.
-4*(s - 1)*(s + 629)/7
Factor 4*g**2 - 123 + 4*g**3 - 119 + 206 - 2*g**3 - 18*g.
2*(g - 3)*(g + 2)*(g + 3)
Let w(j) = 2*j**3 - 2*j**2 - 2*j + 4. Let z(r) = 10*r**3 - 121*r**2 - 301*r - 102. Let a(x) = -4*w(x) + z(x). Factor a(u).
(u - 59)*(u + 2)*(2*u + 1)
Let l(j) = 13*j**2 - 22284*j + 24775376. Let h(n) = -15*n**2 + 22290*n - 24775375. Let i(t) = -4*h(t) - 5*l(t). Factor i(w).
-5*(w - 2226)**2
Let k = 16 - 16. Suppose 15 = 3*p - k. Factor -3 + 23*f**2 + 2*f**2 + p*f**4 - 10*f - 20*f**3 + 3.
5*f*(f - 2)*(f - 1)**2
Suppose 0 = 1381*a + 65058 - 65058. Factor -1/4*t**3 - 19/4*t**2 + 5*t + a.
-t*(t - 1)*(t + 20)/4
Let z be 27/(-688 + -14)*(0 - 1). Let u(b) be the first derivative of -z*b**4 + 30 + 2/13*b - 2/39*b**3 + 1/13*b**2. Factor u(a).
-2*(a - 1)*(a + 1)**2/13
Suppose 9*z = 4*z + 240. Factor 16 - z*c - 30*c**2 + 3*c**2 - 4.
-3*(c + 2)*(9*c - 2)
Let g be 1/2 + (-6)/(-4). Let s be (g + 2)*18/8. Factor -2*w**2 - 148*w + s + w**2 + 156*w.
-(w - 9)*(w + 1)
Factor 12/7*n**3 + 0 - 6/7*n**4 + 48/7*n - 2/7*n**5 + 8*n**2.
-2*n*(n - 3)*(n + 2)**3/7
Let z(g) = 8*g + 227. Let n be z(-28). Suppose 5*o = -3*u - 3, 2*o - o - 17 = -5*u. Factor 4*w**u - 2*w**5 - 148*w**3 + 148*w**n.
-2*w**4*(w - 2)
Factor -5745920 - 8529*n - 4579*n - 5*n**2 + 2388*n.
-5*(n + 1072)**2
Factor -162*k - 19*k - 7 + 87*k**3 + 7 + 13*k - 78*k**2 - 3*k**4.
-3*k*(k - 28)*(k - 2)*(k + 1)
Let c be 4/(-18) + (-192)/108 + -12. Let y be (6/(-5))/(3*2/c). Factor 2/5*w**5 + 18/5*w**3 - y*w**2 + 4/5*w + 0 - 2*w**4.
2*w*(w - 2)*(w - 1)**3/5
Suppose 174 = 6*l - 60. Suppose -42 = -f - l. Find g, given that 5 + 2*g**f + 0*g**3 + 20*g - 16*g**2 - 13 + 2*g**3 = 0.
1, 2
Solve -2*l**5 - 4410 + 1433944*l**3 - 1113*l + 834*l**2 - 24*l**4 - 1433836*l**3 - l**5 = 0 for l.
-7, -2, 3, 5
Solve -1/5*i**5 + 0 + 36/5*i**3 + 2*i**4 + 38/5*i**2 + 13/5*i = 0 for i.
-1, 0, 13
Let v = 3500479/6 - 582945. Find j such that 53/3*j - v - 1/6*j**2 = 0.
53
Let u(c) = -342*c**2 + 7865*c + 27. Let h be u(23). Factor 0 + 45/7*n**2 - 75/7*n + 27/7*n**3 + 3/7*n**h.
3*n*(n - 1)*(n + 5)**2/7
Let h(t) be the second derivative of 5 + 13/6*t**4 - t - 4/15*t**6 - 13/20*t**5 - 1/42*t**7 + 32/3*t**3 + 16*t**2. Factor h(c).
-(c - 2)*(c + 1)**2*(c + 4)**2
Factor 340 + 562*x + 60*x**2 + 2*x**3 - 113*x - 44*x - 3*x**3 - 4*x**3.
-5*(x - 17)*(x + 1)*(x + 4)
What is g in 6/5 + 4/5*g + 1/10*g**2 = 0?
-6, -2
What is b in 669*b + 134*b**2 - 11*b**3 + 126 + 232*b**2 - 15*b**3 + 17*b**3 - 168*b = 0?
-1, -1/3, 42
Find a, given that -230/3 - 5/6*a**3 - 45/2*a**2 - 80*a = 0.
-23, -2
Let t(q) = q**4 - 62*q**3 - 136*q**2 + 90*q + 142. Let h(c) = c**4 - 63*c**3 - 137*c**2 + 87*c + 142. Let v(s) = 7*h(s) - 6*t(s). Find y, given that v(y) = 0.
-2, -1, 1, 71
Solve 4*b**3 + 10/3*b**2 + 0 - 8*b + 2/3*b**4 = 0 for b.
-4, -3, 0, 1
Let k(u) be the second derivative of -5*u**7/42 - 11*u**6/6 + 81*u**5/4 + 55*u**4/12 - 200*u**3/3 + 539*u - 5. Determine o so that k(o) = 0.
-16, -1, 0, 1, 5
Let a(g) be the first derivative of -g**3/9 - 55*g**2/6 - 248*g + 14112. Let a(w) = 0. What is w?
-31, -24
Let s(y) = -14*y - 82. Let k be s(-6). Determine g so that 206*g + 0*g**2 - g**k - 207*g = 0.
-1, 0
Suppose 814 = 2*c - 198. Solve -14*p**5 - 24*p - 208*p**4 - 246*p**4 - 88*p**2 + 2*p**3 + c*p**4 = 0 for p.
-1, -2/7, 0, 2, 3
Let h(s) be the second derivative of s**4/36 + 35*s**3/18 - 49*s**2 + 7908*s. Factor h(t).
(t - 7)*(t + 42)/3
Let n(y) = 4*y**3 - 3*y**2 - 8*y - 10. Let m be n(4). What is i in -3267 + 120*i - 4*i**2 - m*i + i**2 - 152*i = 0?
-33
Let j(g) be the first derivative of -g**6/180 + g**5/30 - 5*g**2/2 + g - 36. Let l(s) be the second derivative of j(s). Factor l(d).
-2*d**2*(d - 3)/3
Let x be ((-144)/54)/((-2408)/4644). Let 0 - 30/7*j**3 - x*j - 74/7*j**2 = 0. What is j?
-9/5, -2/3, 0
Suppose 0 = -0*g + g - 12. Let q be 3*(-16)/g - -7. Suppose -12*b**2 + 3*b**5 - 6*b + 9*b**q - b**4 + 0*b**4 - 6*b + 13*b**4 = 0. Calculate b.
-2, -1, 0, 1
Let l be (-13*36/(-4446))/(240/570). Factor 3/2*s + l*s**2 + 0.
s*(s + 6)/4
Let l(s) = 108*s**2 - 16*s + 16. Let t be l(1). Let v be (t/(-24) + -7)/(2*-1). Factor -v*m + 3/2 + 7/4*m**2.
(m - 3)*(7*m - 2)/4
Let q be ((-30)/200 - (-1)/5)*(-96)/(-36). Let n(u) be the first derivative of 2/45*u**3 +