ind p such that n(p) = 0.
2, 6
Let f(i) = i**3 - i**2. Let p = -36 - -71. Let c = 34 - p. Let v(j) = 2*j**3 - 8*j**2 - 3*j + 9. Let y(r) = c*v(r) - f(r). Factor y(z).
-3*(z - 3)*(z - 1)*(z + 1)
Solve -224/5 + 116/5*k - 2/5*k**2 = 0.
2, 56
Let c(n) be the third derivative of n**6/480 + n**5/30 - 3*n**4/32 - 1882*n**2. Let c(m) = 0. What is m?
-9, 0, 1
Let p = 529 - 385. Factor -p*x + 854*x**2 - 429*x**2 - 427*x**2 - 2592.
-2*(x + 36)**2
Find w such that -15*w**3 - 6*w + 15*w**3 - 124*w - 6*w**3 + w**3 - 135*w**2 = 0.
-26, -1, 0
Let v = -244 - -246. Factor -2 - b**2 - b + 7*b**2 - v*b - 7*b**2.
-(b + 1)*(b + 2)
Let q(k) be the second derivative of 2 + 4/21*k**3 - 1/84*k**4 - 16*k + 9/14*k**2. Find p such that q(p) = 0.
-1, 9
Solve -3/2*t**2 - 381024 - 1512*t = 0 for t.
-504
Let r = 873756 - 4401598/5. Let y = -6538 - r. Let 256/5*t**2 + y*t + 12/5*t**5 + 8*t**3 - 76/5*t**4 + 0 = 0. What is t?
-1, -2/3, 0, 4
Factor -1593522*n**2 + n - 7*n**3 + 18 - n**4 + 1593509*n**2 + 2*n.
-(n - 1)*(n + 2)*(n + 3)**2
Let g = 49 + -48. Let b be (6*(-6)/12)/(g/(-1)). Suppose -21*f + 8*f**2 - 14*f**2 - 12 + b*f**3 + 0*f**2 = 0. Calculate f.
-1, 4
Suppose -27*g + 36 = -15*g. Let w(p) be the second derivative of 5*p - 1/72*p**4 + 1/36*p**g + 0 + 1/6*p**2. Determine u so that w(u) = 0.
-1, 2
Factor 1/4*c**2 - 27/4 - 3/2*c.
(c - 9)*(c + 3)/4
Let m(b) = 2*b**3 + 42*b**2 + 31*b + 1650. Let f be m(-22). Let -57/2*v + f - 3/2*v**2 = 0. Calculate v.
-19, 0
Let b(v) be the first derivative of 0*v + 5/2*v**4 + 0*v**2 + 203 - 8/3*v**3 - 2/5*v**5. Determine a, given that b(a) = 0.
0, 1, 4
Suppose -7*d + 17*v - 13635 = 14*v, -4*d - 7790 = -v. Let t = d - -1961. Determine b, given that 0 - 20/3*b**2 - 14/3*b**5 + 53/3*b**4 + 8/3*b - t*b**3 = 0.
-1/2, 0, 2/7, 2
Suppose -203*w**4 - 48*w**5 - 36*w + 212*w**2 - 249*w**4 - 235*w**3 + 0*w**5 + 79*w**3 = 0. Calculate w.
-9, -1, 0, 1/4, 1/3
Let z(x) = 33*x**2 - 69789*x + 69924. Let w(s) = -3*s**2 + 6979*s - 6992. Let m(v) = -21*w(v) - 2*z(v). What is j in m(j) = 0?
-2328, 1
Let j(g) be the second derivative of 2*g**7/21 - 14*g**6/5 + 116*g**5/5 - 16*g**4/3 - 320*g**3 + 800*g**2 + g + 5974. Solve j(h) = 0.
-2, 1, 2, 10
Let t(y) = y + 3. Suppose 4*z - 5*k - 8 = 8, -4*z - 24 = 5*k. Let w be t(z). Factor 9*p**2 + 15 + 19*p**w + 0*p**3 - 32*p - 79 - 4*p**3.
-4*(p - 4)**2*(p + 1)
Let u(f) be the third derivative of -1/6*f**5 + 1 + 0*f + 3/20*f**6 - 1/210*f**8 + 1/175*f**7 - 27/20*f**4 - 19*f**2 - 6/5*f**3. Find x, given that u(x) = 0.
-3, -1, -1/4, 2, 3
Suppose -g + 4*y + 0*y + 8 = 0, -4 = 2*g - 4*y. Let j be (g/(-6))/(3/6). Factor -6*o + 6 - 3*o**j - 2*o**2 - 2 + o**4 + 6*o**3.
-2*(o - 2)*(o - 1)**2*(o + 1)
Let u(f) = 10*f**3 + 113*f**2 - 208*f - 896. Let w(q) = -16*q**3 - 170*q**2 + 312*q + 1344. Let j(d) = -14*u(d) - 9*w(d). Factor j(o).
4*(o - 8)*(o - 7)*(o + 2)
Let d(g) be the second derivative of 0*g**4 + 1/21*g**3 + 1/210*g**6 - 12*g + 4 - 1/14*g**2 - 1/70*g**5. Factor d(q).
(q - 1)**3*(q + 1)/7
Factor 75*a**2 + 517902*a + a**3 - 6*a**3 - 517732*a.
-5*a*(a - 17)*(a + 2)
Determine z, given that 23*z**2 - 5*z**4 - 60*z + 18*z**3 - 35*z**2 + 52*z = 0.
-2/5, 0, 2
Suppose 130 - 109 = 2*v - 3*q, 0 = 2*q + 14. Suppose -3/8*a**2 - 1/8*a**4 + 0*a - 1/2*a**3 + v = 0. Calculate a.
-3, -1, 0
Let g be 3/((-838)/(-464) - 62/(-899)). Solve 6/5*h**2 - 2/5*h**3 - g + 0*h = 0.
-1, 2
Let o = 592/13 + -1829/39. Let a = -9/13 - o. Suppose -1/3*m**3 + a*m**2 + m + 0 = 0. What is m?
-1, 0, 3
Suppose 18 = -10982*t + 10983*t + w, -4*w + 60 = 0. Solve 1/3*x**2 - 2/3*x**4 + 0 + 0*x + 1/3*x**t = 0 for x.
-1/2, 0, 1
Let -129/2*g - 558 - 3/2*g**2 = 0. What is g?
-31, -12
Suppose -231 + 1387 = 289*g. Suppose 0 = p - 3*p. Suppose -3/7*u**3 + p - 3/7*u**g + 3/7*u**2 + 3/7*u = 0. Calculate u.
-1, 0, 1
Suppose 2*d - 15 = -3*q, d = 2*q + 4*d - 15. Let -9*a**3 - 61*a**2 - 15 - q*a + 4*a**2 - 36*a - 24*a = 0. Calculate a.
-5, -1, -1/3
Let x = 162553 - 1462927/9. Factor -2/9*a**3 - x*a + 0 - 20/9*a**2.
-2*a*(a + 5)**2/9
Let k(y) be the first derivative of 2/7*y + 2/35*y**5 + 30 + 4/7*y**3 + 2/7*y**4 + 4/7*y**2. Determine z so that k(z) = 0.
-1
Let p(b) be the first derivative of b**6/2700 - b**5/900 - b**4/90 + b**3 + b**2 + 162. Let o(c) be the third derivative of p(c). Let o(m) = 0. Calculate m.
-1, 2
Suppose -10*z + 116 = -4324. Let x be z/259 - 4/(-14). Factor 0*u + 9/4*u**3 + 0 + 3/2*u**x - 15/4*u**4.
-3*u**2*(u - 1)*(5*u + 2)/4
Let k be 1/(-2*4/16*-1). Let a = -1129 + 6775/6. Find n, given that 1/3*n - 1/6*n**4 + 0 - 1/3*n**3 + a*n**k = 0.
-2, -1, 0, 1
Let s be (((-71)/(-355))/(1/(-10)))/(-1). Let g(a) be the third derivative of 0 - 1/60*a**6 + 0*a - 3*a**3 - 5/4*a**4 - 4*a**s - 7/30*a**5. Factor g(j).
-2*(j + 1)*(j + 3)**2
Let f(k) be the second derivative of k**4/20 - 1772*k**3/5 + 4709976*k**2/5 + 2306*k. Find h such that f(h) = 0.
1772
Factor -2/23*n**4 + 60/23*n**3 - 6000/23*n - 50/23*n**2 - 20000/23.
-2*(n - 20)**2*(n + 5)**2/23
Let n = 4140 + -4138. Let x(c) be the second derivative of 0 - 14*c + 2/3*c**4 + 8*c**n + 1/5*c**5 - 14/3*c**3. Factor x(o).
4*(o - 1)**2*(o + 4)
Let f(a) be the third derivative of 5/6*a**3 - 1/420*a**7 + 0*a + 9/40*a**5 + 148*a**2 + 29/48*a**4 + 0 + 7/240*a**6. What is y in f(y) = 0?
-1, 10
Let l(v) = 3*v**4 + v**3 - 2*v**2 + 3*v + 1. Let c(w) = -2*w**4 - 100*w**3 + 61*w**2 + 420*w + 267. Let o(i) = -3*c(i) - 9*l(i). Suppose o(a) = 0. What is a?
-1, 3, 90/7
Let g(p) be the first derivative of -p**5/120 - 73*p**4/24 - 5329*p**3/12 + 123*p**2 - 228. Let k(n) be the second derivative of g(n). Factor k(o).
-(o + 73)**2/2
Factor 268/7 - 2/7*f**2 - 38*f.
-2*(f - 1)*(f + 134)/7
Let i(t) be the second derivative of -t**7/280 - t**6/24 - t**5/10 - 18*t**3 + 2*t + 2. Let g(k) be the second derivative of i(k). Factor g(m).
-3*m*(m + 1)*(m + 4)
Let l(u) be the third derivative of 7*u**5/30 - 7*u**4/6 + 13*u**3/3 + 61*u**2. Let z(x) = x**2 - 2*x + 2. Let v(w) = l(w) - 12*z(w). Factor v(s).
2*(s - 1)**2
Suppose -5*p = -25, -5*w = -4*p + 65 + 10. Let u(q) = 8*q + 91. Let j be u(w). Let -2/19*m**2 + 4/19*m + 0 - 2/19*m**j = 0. Calculate m.
-2, 0, 1
Let f = -129 - -209. What is s in -80*s**4 + 15*s**3 - 1303*s**5 + 6*s + f*s**2 + 1268*s**5 + 14*s = 0?
-2, -1, -2/7, 0, 1
Let b(t) be the first derivative of -t**5 + 5*t**4 - 20*t**3/3 - 3698. Factor b(f).
-5*f**2*(f - 2)**2
Let i(l) = -19*l + 247. Let u be i(13). Solve 94 + 2*g**4 + 680*g + 132 + 174 + 324*g**2 + 46*g**3 + u*g**4 + 0*g**4 = 0 for g.
-10, -2, -1
Let q be 1177*((-55)/143)/1. Let v = q - -453. Factor 2/13*b**3 + 0 + v*b + 6/13*b**2.
2*b*(b + 1)*(b + 2)/13
Suppose -459684/5 + 1356/5*c - 1/5*c**2 = 0. Calculate c.
678
Let i(t) = t**2 - 2*t. Let n(l) be the second derivative of -2*l**4/3 - 4*l**3/3 - 40*l**2 - 7*l. Let j(u) = -12*i(u) - n(u). Factor j(o).
-4*(o - 10)*(o + 2)
Suppose 2*j - 5*u = 5*j + 112, 3*u - 42 = j. Let q be ((-3)/(-2))/(j/(-104)). Suppose -3*w**q + 18*w**5 + 36*w**3 - 21*w**4 - 14*w**5 = 0. What is w?
0, 3
Let u(k) be the third derivative of k**8/84 + 2*k**7/15 - 91*k**6/30 - 439*k**5/15 + 303*k**4 - 864*k**3 - 13*k**2 - 100*k - 2. Find z such that u(z) = 0.
-9, 1, 2, 8
Let s(f) be the second derivative of 20*f - 1/51*f**4 - 1/170*f**5 + 0 + 5/51*f**3 + 6/17*f**2. Factor s(m).
-2*(m - 2)*(m + 1)*(m + 3)/17
Let v be (6/(-405)*3)/((-8)/(-768)). Let b = 76/15 + v. Factor -b*d**2 + 1/5 + 3/5*d.
-(d - 1)*(4*d + 1)/5
Suppose -5*u + 25 + 70 = 5*i, -3*i + 4*u + 36 = 0. Suppose -30 + 28 = -5*g + x, i = 4*g + 4*x. Solve 3/4*h**2 - 1/4*h**4 - 1/2*h**3 + g + 2*h = 0 for h.
-2, -1, 2
Let f(x) = 5*x**3 + 35*x**2 + 38*x - 80. Let c = -30 + 32. Let w(i) = -i. Let d(s) = c*w(s) - f(s). Let d(u) = 0. Calculate u.
-4, 1
Let k = 1119 + 34. Let j = k + -3457/3. Suppose -1/3*n + 1/3*n**2 - j = 0. What is n?
-1, 2
Let t(q) be the third derivative of q**5/120 - 4*q**4/3 - 65*q**3/12 - q**2 + 454*q. Let t(f) = 0. Calculate f.
-1, 65
What is m in -66/5*m**3 + 6/5*m**5 + 12*m + 54/5*m**4 + 0 - 54/5*m**2 = 0?
-10, -1, 0, 1
Let i(n) be the first derivative of -1/24*n**4 + 2/9*n**3 - 47 + 1/3*n - 5/12*n**2. Suppose i(x) = 0. Calculate x.
1, 2
Let s = -143 - -1579/11. Let p = 592837 + -6521205/11. Find c, given that 2/11*c**4 - p*c + s*c**2 - 6/11*c**3 + 0 = 0.
0, 1
Let h = 2135869/5 - 427169. Suppo