?
-1, 16
Let w = 1904/9 - 9514/45. Determine z so that 8/15*z**2 + 16/15*z - 2/15*z**4 - 4/5*z**3 + w*z**5 + 0 = 0.
-2, -1, 0, 2
Let m = 14152/1045 - -12/209. Determine j so that -16/5 + 196/5*j**5 + 96/5*j - 292/5*j**3 - m*j**2 + 84/5*j**4 = 0.
-1, 2/7, 1
Factor 0*s - 2/9*s**3 + 0 + 4/3*s**2.
-2*s**2*(s - 6)/9
Let l(o) be the third derivative of -5*o**8/336 + 17*o**7/42 - 5*o**6/4 - o**5/6 + 155*o**4/24 - 25*o**3/2 - 65*o**2. Let l(i) = 0. Calculate i.
-1, 1, 15
Let 39/2*o**3 + 0 - 21/2*o**2 + 0*o - 3/2*o**5 - 15/2*o**4 = 0. What is o?
-7, 0, 1
Let a(c) = -55*c**2 - 125*c - 20. Let v(g) = 39*g**2 + 24*g**2 + 187*g + 19*g**2 + 30. Let q(w) = -8*a(w) - 5*v(w). Factor q(z).
5*(z + 2)*(6*z + 1)
Let d(x) be the second derivative of 49*x**5/110 - 385*x**4/6 - 2432*x**3/33 - 348*x**2/11 + 79*x. Let d(l) = 0. Calculate l.
-2/7, 87
Find i, given that 78*i - 391*i + 13*i**2 - 27*i**2 - 22050 - 107*i + 12*i**2 = 0.
-105
Let g(q) be the third derivative of -7*q**8/240 - 3*q**7/10 - 347*q**6/600 + 7*q**5/60 + 4*q**4/5 - 2*q**3/3 - 5*q**2 + 6. Determine j so that g(j) = 0.
-5, -1, 2/7
Let k(l) = 2*l**2 - 111*l + 1692. Let a(m) = -2*m**2 + 110*m - 1694. Let n(i) = 5*a(i) + 6*k(i). Find g such that n(g) = 0.
29
Let z be (-22)/(-40) - 1/(-5). Let j = 1815/2 + -906. Solve -z*c**4 + 3*c**3 + 0 - 15/4*c**2 + j*c = 0.
0, 1, 2
Let c = 1786/15 - 119. Let v(k) be the third derivative of -1/6*k**4 - 7*k**2 - c*k**5 + 0*k**3 + 0 + 0*k. Determine d so that v(d) = 0.
-1, 0
Let r(x) be the third derivative of x**7/945 + x**6/135 + x**5/54 + x**4/54 - 912*x**2. Factor r(v).
2*v*(v + 1)**2*(v + 2)/9
Let i(o) = o**3 - 4*o**2 - 2*o - 7. Let f be i(5). Suppose -d + 2*x + 52 = 0, -6*x = -2*x - 8. Factor -f*r**2 - d*r**4 + 2*r**3 - 41*r**3 - 5*r**3.
-4*r**2*(2*r + 1)*(7*r + 2)
Let g(y) be the first derivative of y**4/4 + 8*y**3/3 - 34. Let h be g(-8). Factor h + 1/3*t + 0*t**3 - 1/3*t**5 + 2/3*t**4 - 2/3*t**2.
-t*(t - 1)**3*(t + 1)/3
Suppose -l + 14 = -5*h, -4*l - h = -0*h - 14. Suppose s - 3*s + l = 0. Factor -4*x**2 - 4*x**s + 3*x**2 - x**2 + 2*x**3.
2*x**2*(x - 3)
Let x(y) be the first derivative of -y**6/18 - y**5/15 + y**4/6 + 2*y**3/9 - y**2/6 - y/3 - 81. Suppose x(c) = 0. What is c?
-1, 1
Let l be (-12)/21*(-6)/8. Suppose 6*h = -h + 28. Factor 3/7*f**h - 9/7*f**2 - 6/7 - 15/7*f + l*f**3.
3*(f - 2)*(f + 1)**3/7
Let w(u) = -u**2 + 13*u - 15. Let h be w(10). Let x = h - 9. Suppose 21*j**3 - 6*j**2 + 10 - 4 + 6*j**4 - 21*j**5 - x = 0. What is j?
-1, 0, 2/7, 1
Let n(d) = -d**2 + 2*d + 1. Let o(p) = 11*p**2 - 28*p - 57. Let c(b) = -18*n(b) - 2*o(b). Solve c(j) = 0.
-3, 8
Let s(c) = -17*c**3 + 4*c**2 + 13*c + 9. Let k(l) = 15*l**3 - 4*l**2 - 12*l - 8. Let m(n) = -9*k(n) - 8*s(n). Factor m(j).
j*(j + 2)**2
Let j = -63 - -61. Let h(r) = 13*r**3 - 17*r**2 - 4*r - 1. Let w(k) = -k + 4*k**2 + 7*k**3 - 4*k**3 - 8*k**2. Let x(a) = j*h(a) + 9*w(a). Factor x(d).
(d - 2)*(d - 1)*(d + 1)
Suppose -3*n + 24 - 15 = 0. Suppose -n*z - 170 + 185 = 0. Factor 14/13*l**2 + 0 - 4/13*l + 10/13*l**4 - 2/13*l**z - 18/13*l**3.
-2*l*(l - 2)*(l - 1)**3/13
Let b(u) be the second derivative of u**7/140 + 3*u**6/80 + u**5/20 - u**2/2 + 10*u. Let l(h) be the first derivative of b(h). Factor l(d).
3*d**2*(d + 1)*(d + 2)/2
Let n(g) be the third derivative of -1/24*g**3 + 0 + 1/240*g**5 + 13*g**2 + 0*g + 0*g**4. Find i, given that n(i) = 0.
-1, 1
Determine l, given that 2/5*l**2 + 0*l + 0 = 0.
0
Let j(k) = k**3 + 6*k**2 + 2*k - 12. Let c be j(-5). Let n be c + -3 + (5 - 0). Determine u so that u**n + 0 + 0*u**3 + 0*u**2 + 1/2*u**4 + 0*u = 0.
-1/2, 0
Let t(b) be the third derivative of b**5/20 - b**4 + 15*b**3/2 + 15*b**2 + 3. Find v, given that t(v) = 0.
3, 5
Let w be -3 + (-48)/(-18) - (-2)/6. Suppose 5*n - 21 + 11 = w. Factor -1/3*d**n + 0 + 1/3*d.
-d*(d - 1)/3
Let x(w) = -w + 1. Let v = 3 + -2. Let n(s) be the second derivative of -s**5/10 + s**4/3 + 4*s**3/3 - 5*s**2 + 38*s. Let u(d) = v*n(d) + 10*x(d). Factor u(y).
-2*y*(y - 1)**2
Find l such that -5*l + 2*l**2 + 0 - 1/5*l**3 = 0.
0, 5
Let z(p) be the first derivative of p**3/6 - 37*p**2/4 + 35*p + 215. Find x such that z(x) = 0.
2, 35
Let u(w) be the first derivative of -w**5/30 + w**4/6 + w**3 - w**2/2 - 10. Let g(q) be the second derivative of u(q). Suppose g(a) = 0. Calculate a.
-1, 3
Let p(d) be the first derivative of 3*d**4/4 + 34*d**3 + 277. Find n such that p(n) = 0.
-34, 0
Solve 98*m - 64*m - 52 + 74*m - 58*m**2 + 4*m**3 - 50*m**2 + 48*m**2 = 0.
1, 13
Let t(v) = v**4 - 8 - 8 + v**3 + 15 + v + v**2. Suppose 5*m - 24 = -4. Let w(f) = -f**5 - f**4 - 4*f**2 - 3*f + 3. Let n(c) = m*t(c) + 2*w(c). Factor n(p).
-2*(p - 1)**3*(p + 1)**2
Let l(j) be the first derivative of j**4/2 - 20*j**3/3 - 23*j**2 - 24*j + 97. Find f, given that l(f) = 0.
-1, 12
Let q(a) = 3*a**2 - 143*a - 2146. Let m be q(-12). Solve -9/5*g - 21/5*g**m - 3*g**3 + 0 - 3/5*g**4 = 0 for g.
-3, -1, 0
Let u(b) = 200*b - 4. Let x be u(-1). Let r = -202 - x. Solve 0 + 2/15*v**r + 2/15*v = 0.
-1, 0
Suppose -12*l - 564 = -10*l - u, l + 3*u = -268. Let t = l - -848/3. Solve 26/9*b**2 + t*b + 8/9 + 4/3*b**3 + 2/9*b**4 = 0.
-2, -1
Let l(o) be the second derivative of o**5/10 - 7*o**4/3 - 32*o**3/3 + o - 93. Factor l(g).
2*g*(g - 16)*(g + 2)
Let u(n) = 5*n. Let p(a) = -6*a**2 - 67*a - 86. Let h(k) = p(k) - 5*u(k). Solve h(s) = 0.
-43/3, -1
Let y(p) = 5*p**4 - 6*p**3 - 9*p**2 + 14*p + 4. Let g(w) = w**4 - w**3 - w**2 + 2*w + 1. Let f(d) = 20*g(d) - 5*y(d). Determine c so that f(c) = 0.
-2, 0, 1, 3
Let g be (6/10)/(-2 + (-88)/(-40)). Let n(o) be the first derivative of 1/9*o**2 + 10/27*o**g + 1/9*o**4 + 6 - 4/9*o. Factor n(c).
2*(c + 1)*(c + 2)*(2*c - 1)/9
Let s(j) be the first derivative of 4*j**5/25 - 108*j**4/5 + 5832*j**3/5 - 157464*j**2/5 + 2125764*j/5 - 74. Factor s(g).
4*(g - 27)**4/5
Let r(m) be the first derivative of -2*m**3/15 + 21*m**2/5 + 144*m/5 + 20. Factor r(w).
-2*(w - 24)*(w + 3)/5
Let x(o) = o**3 - 9*o**2 + 7*o + 8. Let k be x(8). Suppose k = 2*w - 3*j - 22, -j - j - 33 = -3*w. Factor -21*s**3 - 2*s**2 + 9*s**3 + s**4 + w*s**3.
s**2*(s - 2)*(s + 1)
Let q be (((-16)/5)/8)/((-54)/5). Let c(h) be the second derivative of 1/90*h**5 + 0*h**2 + 1/27*h**3 + q*h**4 + 0 - 5*h. Factor c(a).
2*a*(a + 1)**2/9
Let h = -31 + 43. Let -8*i**3 - h*i**2 - 4*i**4 + 15*i**3 + 5*i**3 + i + 3*i = 0. What is i?
0, 1
Let r = 854 + -2557/3. What is h in -2/3*h**2 - 1/3*h**5 + r*h - 4/3*h**3 - 2/3 + 4/3*h**4 = 0?
-1, 1, 2
Factor -2/21*h**3 + 0 - 26/21*h + 4/3*h**2.
-2*h*(h - 13)*(h - 1)/21
Suppose 3*f = 3*p + 21, 2*p = 4*f + 7*p - 10. Suppose 0 = -n + 2*n - f. Factor -m**3 - 3*m**5 + 0*m**n + 7*m**3 - 3*m.
-3*m*(m - 1)**2*(m + 1)**2
Suppose -2*m - 24 = 66. Let t be (-60)/m*(4 + -1). Find c, given that 4*c + t*c**3 - 3*c - 4*c**4 - c = 0.
0, 1
Let c(y) be the second derivative of y**6/30 - 3*y**4/4 - 122*y. Solve c(l) = 0 for l.
-3, 0, 3
Suppose 0 = -3*g - 1 + 16. Suppose -q - g*i - 24 = 0, 2*i + 2 = -3*q - 5. Let w(a) = a. Let u(z) = z**2 - 6*z + 4. Let t(k) = q*u(k) + 2*w(k). Factor t(v).
(v - 2)**2
Suppose -84 = -2*x + 6*x. Let w(s) = 8*s**2 + 2*s + 8. Let n(q) = -q**2 - 1. Let h(p) = x*n(p) - 3*w(p). Let h(y) = 0. Calculate y.
-1
Let i(a) be the first derivative of -8*a**5/15 - a**4/6 + 2*a**3/3 - 176. Factor i(g).
-2*g**2*(g + 1)*(4*g - 3)/3
Let a(q) be the first derivative of -11*q**4/16 + q**3/8 - 9*q + 22. Let h(f) be the first derivative of a(f). Factor h(z).
-3*z*(11*z - 1)/4
Let w be 3 + (-105)/33 + (720/(-55))/(-12). Factor -6/11*d**3 + w*d**2 - 4/11*d + 0 - 2/11*d**4 + 2/11*d**5.
2*d*(d - 1)**3*(d + 2)/11
Suppose 129 = -6*v + 3*v. Let j = v + 47. Let 1/6*x**2 + 0 - 1/6*x**j + 1/6*x**3 - 1/6*x = 0. Calculate x.
-1, 0, 1
Solve -3/2 - 2*l**3 + l**2 + 2*l + 1/2*l**4 = 0 for l.
-1, 1, 3
Let y(j) be the third derivative of j**7/42 + 5*j**6/24 + j**5/2 - 5*j**4/6 - 20*j**3/3 + 4*j**2. Suppose y(i) = 0. What is i?
-2, 1
Let t(x) = 2*x**2 + 19*x - 479. Let b be t(-21). Determine p so that -1/3*p**5 + 2/3*p**3 - 2/3 + 4/3*p**2 - 1/3*p - 2/3*p**b = 0.
-2, -1, 1
Let z = 282 + -283. Let a be (30/(-36))/(z/3). Factor a - 2*t - 1/2*t**2.
-(t - 1)*(t + 5)/2
Suppose 3*k - 2*k = h - 2, 2*h + k = 4. Find a such that -4*a + 10 - 2*a**2 - a - 5*a**h + 5*a**3 - 3*a**2 = 0.
-1, 1, 2
Factor 1/3*l**2 + 38*l + 108