1457. Let 15/7*i**3 + b - 24/7*i**2 + 12/7*i - 3/7*i**4 = 0. Calculate i.
0, 1, 2
Let u be (6/24)/((-1)/(-12)). Factor d**u + 18*d + 0 - 2*d**4 - 4 - 4*d + 9*d**3 - 18*d**2.
-2*(d - 2)*(d - 1)**3
Let q = -119/8 - -365/24. Factor 0 - 8/3*g**2 + q*g**3 + 16/3*g.
g*(g - 4)**2/3
Let s(z) be the second derivative of z**7/10 - 4*z**6/5 + 153*z**5/100 - z**4/2 - 4*z**3/5 - 2*z - 36. Determine c so that s(c) = 0.
-2/7, 0, 1, 4
Let a(p) = p**5 - p**4 - 3*p**2. Let r(x) = 7*x**5 + 2*x**4 - 63*x**3 - 18*x**2 + 348*x - 360. Let c(k) = 4*a(k) - r(k). Let c(m) = 0. What is m?
-5, -3, 2
Let r = -25 + 25. Suppose x - 5*x + 12 = r. Determine q so that 32 - x*q + 2*q**2 + 10*q + 9*q = 0.
-4
Suppose -2*q - 5*v - 50 = 0, q + 0*v = -v - 22. Let b be ((-5)/6)/(q/40). Factor 2/3*i - 1/3*i**5 + i**3 + 0 + 1/3*i**4 - b*i**2.
-i*(i - 1)**3*(i + 2)/3
Factor -73*v + 89*v - 4*v**2 - 9 - 4*v**3 + 25.
-4*(v - 2)*(v + 1)*(v + 2)
Factor -748*d + 12*d**2 - 90*d**2 + 2*d**3 + 824*d.
2*d*(d - 38)*(d - 1)
Let w be -6 + 2/(-1) + 8. Let y(o) be the second derivative of w*o**3 + 0*o**2 + 1/40*o**5 + 0 + 0*o**4 - 11*o. Suppose y(a) = 0. What is a?
0
Let d(z) be the first derivative of 1/90*z**5 + 0*z**3 + 0*z - z**2 - 1/180*z**6 + 3 + 1/18*z**4. Let c(a) be the second derivative of d(a). Factor c(l).
-2*l*(l - 2)*(l + 1)/3
Let p be 1 - ((-4)/4 - (-2 - -55)). Let l be ((-8)/(-5))/(22/p). Factor x**3 - x + 0*x**2 + 1/2 - 1/2*x**l.
-(x - 1)**3*(x + 1)/2
Factor -27/4*v**2 - 13/4*v**3 - 1/4 - 15/4*v.
-(v + 1)**2*(13*v + 1)/4
Suppose 0 = -289*a + 288*a - 4*w - 6, w = -3*a + 4. Suppose 1/5*j**a + 4/5 - 4/5*j = 0. What is j?
2
Let f(v) be the first derivative of v**2 + 0*v - 5 - 1/6*v**3. Factor f(z).
-z*(z - 4)/2
Find a, given that -68 + 482*a**2 - 960*a**2 + 466*a**2 + 208*a = 0.
1/3, 17
Let c(k) be the third derivative of -k**6/480 - k**5/60 + 5*k**4/96 - 3*k**2 - 17. Factor c(r).
-r*(r - 1)*(r + 5)/4
Let h(k) be the first derivative of -1/4*k**3 + 3/20*k**5 + 0*k + 3/8*k**2 + 1 - 3/16*k**4. What is l in h(l) = 0?
-1, 0, 1
Suppose -69 + 564 = 11*m. Find v, given that -v**2 + 48 - 3*v**3 + 28*v**2 - m*v - 27*v = 0.
1, 4
Let k(m) be the first derivative of 44*m**3/3 + 100*m**2 + 96*m + 288. Factor k(y).
4*(y + 4)*(11*y + 6)
Factor 16/7*p**3 + 0*p - 24/7*p**2 - 2/7*p**4 + 0.
-2*p**2*(p - 6)*(p - 2)/7
Let p(x) be the first derivative of x**4/4 + 17*x**3/3 + 2*x - 15. Let q be p(-17). Factor 2/3*a**5 + 0 + 0*a**q + 16/3*a**4 + 0*a + 32/3*a**3.
2*a**3*(a + 4)**2/3
Let c = -4 - -3. Let m(i) = -i**2 - 1. Let h(t) = -6*t**2 + 33*t + 18. Let a(r) = c*h(r) - 12*m(r). Find q such that a(q) = 0.
-1/6, 2
Let b = -26 - -28. Factor -j**2 - 5*j**2 + 11*j**b.
5*j**2
Let y(k) be the first derivative of k**4 + 8/3*k**3 - 4/5*k**5 - 15 + 0*k**2 + 0*k. Factor y(u).
-4*u**2*(u - 2)*(u + 1)
Factor -1/5*f - 6/5 + 4/5*f**2 - 1/5*f**3.
-(f - 3)*(f - 2)*(f + 1)/5
Solve -255*x**2 - 3*x**4 - 65*x**3 + 6*x**4 + 35*x**3 - 251 + 70 - 510*x - 107 = 0.
-3, -2, -1, 16
Let j(w) = 2*w**2 + 1. Let r(z) = 7*z**2 - 4. Let o(p) = p. Let g(t) = 6*o(t) - r(t). Let q(u) = g(u) + 4*j(u). What is a in q(a) = 0?
-4, -2
Factor 2*v**3 - 17*v**2 - 16*v**2 + 0 - 36*v + 0 + 39*v**2.
2*v*(v - 3)*(v + 6)
Let t = -2/415 - -864/7055. Factor -4/17 + 2/17*u**2 + t*u.
2*(u - 1)*(u + 2)/17
Let d(c) be the third derivative of 0*c**3 + 1/60*c**5 + 0 + 0*c - 1/210*c**7 - 3*c**2 + 1/336*c**8 - 1/40*c**6 + 1/12*c**4. Find k such that d(k) = 0.
-1, 0, 1, 2
Let o(g) = -3 - 4*g + 0*g - 5*g. Let z(j) = j**2 + 3*j + 1. Let a(s) = 3*s. Let m(k) = -a(k) + z(k). Let t(w) = -3*m(w) + o(w). Find q, given that t(q) = 0.
-2, -1
Let n = -2883/4 - -721. Let a(f) be the first derivative of 12*f - 2 - n*f**6 + 9*f**2 - 9/5*f**5 - 33/8*f**4 - f**3. What is o in a(o) = 0?
-2, -1, 1
Factor 1/5*a**4 + 0 + 3/5*a**3 + 1/5*a + 3/5*a**2.
a*(a + 1)**3/5
Let g be 6/(-18) - 5/3. Let d = g + 5. Factor -h**3 - 3*h + d*h**2 + 2*h - 5*h**2.
-h*(h + 1)**2
Suppose -201*w**2 + 103*w**2 + 24 - 98*w + 106*w**2 = 0. What is w?
1/4, 12
Let o(n) = 24*n**2 - 9*n - 6. Let z(p) = -12*p**2 + 4*p + 3. Suppose c = -3*c - 20. Let j(r) = c*o(r) - 9*z(r). Factor j(q).
-3*(q - 1)*(4*q + 1)
Let b(n) = -15*n**2 - 15*n + 80. Suppose 0 = -3*l + 6 + 3. Let i(k) = 2*k**2 + 2*k - 10. Let w(t) = l*b(t) + 25*i(t). Determine j, given that w(j) = 0.
-2, 1
Let w(t) = t**2 + 17*t + 54. Let q be w(-4). Let m(r) be the first derivative of 2/3*r**3 - 9 - q*r**2 + 2*r. Factor m(d).
2*(d - 1)**2
Let t(o) be the first derivative of o**3/6 + 21*o**2 + 882*o - 244. Factor t(y).
(y + 42)**2/2
Let q(v) be the second derivative of 11*v**4/36 + 17*v**3/9 + v**2/2 - 5*v - 48. Suppose q(b) = 0. Calculate b.
-3, -1/11
Let j(p) be the second derivative of p**4/42 - 2*p**3/3 + 13*p**2/7 - 2*p + 32. Factor j(o).
2*(o - 13)*(o - 1)/7
Factor 33 - 185729*y**2 + 159 - 52*y + 185725*y**2.
-4*(y - 3)*(y + 16)
Let q(x) be the second derivative of 0 + 5/4*x**5 + 0*x**2 + 8*x - 35/12*x**4 + 5/2*x**3 - 1/6*x**6. Factor q(r).
-5*r*(r - 3)*(r - 1)**2
Let i(p) = -p**4 + 5*p**3 - 23*p**2 + 29*p + 5. Let l(b) = -4*b**3 + 24*b**2 - 28*b - 4. Let z(d) = 4*i(d) + 5*l(d). Factor z(v).
-4*v*(v - 2)*(v - 1)*(v + 3)
Let g(m) be the second derivative of -4*m**4/3 - 2*m**3/3 - 121*m. Factor g(b).
-4*b*(4*b + 1)
Factor 89*z - z**2 - 47*z + 4*z**3 - 46*z + 4*z**4 - 3*z**2.
4*z*(z - 1)*(z + 1)**2
Let k(h) = 15*h**2 + 155*h + 265. Let x(f) = -7*f**2 - 77*f - 132. Let z(r) = 2*k(r) + 5*x(r). Find m such that z(m) = 0.
-13, -2
Let u(x) = 3*x**3 - 18*x**2 - 36*x - 5. Let w(p) = -p**3 + 9*p**2 + 18*p + 2. Let z(r) = 2*u(r) + 5*w(r). Find c such that z(c) = 0.
-6, -3, 0
Let f = -13305 + 13307. Factor 0*r - 2/3*r**f + 5/3*r**3 + 0 - r**4.
-r**2*(r - 1)*(3*r - 2)/3
Let p be (-17 - -13)*((-3)/(-20)*-1 - 0). Suppose 1/5*g**2 + 0 + 0*g - p*g**3 = 0. Calculate g.
0, 1/3
Let h be ((-1)/(-2))/(14/308). Let b = 15 - h. Suppose -8*o**3 + o**5 + 4 - 5*o**5 + 0*o + 8*o**2 + 12*o - 12*o**b = 0. What is o?
-1, 1
What is h in -7/4*h**3 + 0*h - 3/4*h**5 + 0 - 2*h**4 - 1/2*h**2 = 0?
-1, -2/3, 0
Let c = 109 + -76. Let f be ((-1)/(-3) + 0)*2106/c. Determine m, given that 0 + 162/11*m**4 + f*m**3 + 80/11*m**2 + 8/11*m = 0.
-1, -2/9, 0
Let z(j) be the third derivative of 8*j**7/63 + 17*j**6/60 - 71*j**5/90 - 2*j**4/3 + 4*j**3/9 - 2*j**2 - 9*j. Determine b so that z(b) = 0.
-2, -2/5, 1/8, 1
Let i be (-18)/30 - (13937/2100)/(-11). Let z(u) be the third derivative of 0*u + 7*u**2 - i*u**6 + 2/75*u**5 + 0*u**3 + 0 + 0*u**4. What is j in z(j) = 0?
0, 4
Let y = 15 + -34. Let z = -16 - y. Factor -5*d**4 - 7*d**4 - 3*d**5 + z*d**3 + 12*d**4.
-3*d**3*(d - 1)*(d + 1)
Suppose 0 = 3*m + 3, 1 + 18 = 5*j - 4*m. Factor 89*v**2 - 2*v + 3*v**3 + 0*v**j - 88*v**2.
v*(v + 1)*(3*v - 2)
Determine p, given that 20/9 + 88/9*p**2 - 94/9*p - 14/9*p**3 = 0.
2/7, 1, 5
Find h, given that 1/2*h**3 + 11/2*h**2 + 20*h + 24 = 0.
-4, -3
Let f = 69 - 343/5. Determine m, given that -8/5 - 14/5*m - 4/5*m**2 + f*m**3 = 0.
-1, 4
Let r be 94/(-6) + 24/(-18). Let c(f) = 8*f**2 - 4*f - 4. Let d(j) = -23*j**2 + 11*j + 12. Let o = 16 + -22. Let q(p) = o*d(p) + r*c(p). Factor q(g).
2*(g - 1)*(g + 2)
Let l(p) be the first derivative of -2*p**3/33 - 172*p**2/11 - 14792*p/11 - 288. Factor l(t).
-2*(t + 86)**2/11
Suppose -1 = 3*i + 2*t - 7, 3*t = 0. Determine o, given that 2973/4*o**3 + 75 + 2307/4*o**i - 1407/4*o**4 + 147/4*o**5 - 480*o = 0.
-1, 2/7, 5
Suppose -466 = 12*o - 502. What is i in 0*i**2 - 1/4*i**4 + 0*i + 0*i**o - 1/4*i**5 + 0 = 0?
-1, 0
Let b(m) be the second derivative of -m**6/3 - 9*m**5/4 - 5*m**4/3 - 13*m - 2. Factor b(h).
-5*h**2*(h + 4)*(2*h + 1)
Factor 4/5*j**2 + 6/5 - 1/5*j**3 + 11/5*j.
-(j - 6)*(j + 1)**2/5
Let n(l) be the third derivative of -l**8/4032 + l**7/252 - l**6/36 + 2*l**5/15 + 11*l**2. Let m(b) be the third derivative of n(b). Factor m(r).
-5*(r - 2)**2
Suppose -3*o + 1 = -8. Suppose -13*r**5 + 7*r**5 + 12*r**4 + 4*r**2 - 12*r**o + 2*r**5 = 0. Calculate r.
0, 1
Suppose 0 = 5*r - 5*s + 112 + 58, 5*s - 80 = 2*r. Let q(z) = 35*z**2 - 15*z - 20. Let p(c) = -c**2. Let v(o) = r*p(o) - q(o). Let v(n) = 0. Calculate n.
-1, 4
Let 56/5*d**5 + 352/5*d - 506/5*d**4 + 446/5*d**2 - 24 - 588/5*d**3 = 0. What is d?
-1, 2/7, 3/4, 10
Let a be (5/((-320)/(-6)))/((-9)/(-36)). Let d(y) be the third derivative of 0