 + 151*u**3 - 684*u**2 + 756*u - 10104. Let j(c) = 0. Calculate c.
-6, 1, 7
Let g(f) be the first derivative of -f**4/28 + 9*f**3/7 + f**2/14 - 27*f/7 + 1246. Factor g(r).
-(r - 27)*(r - 1)*(r + 1)/7
Solve -45796 - 4/9*p**2 + 856/3*p = 0.
321
Let o(y) = 16*y - 43. Let f be o(3). Factor f*p + 5053*p**3 - 5058*p**3 + 18 - 9 - 40*p**2 + 31.
-5*(p - 1)*(p + 1)*(p + 8)
Let u be 46*1/11 - (-4)/(-22). Suppose 2*r + u = 10. Determine l so that l**5 + 1 - l**4 + 11*l + 0*l**2 + l**2 - 5*l**r + 3 - 3*l = 0.
-1, 2
Factor 3 + 1/4*o**4 + 1/4*o**5 + 47/4*o**2 - 21/4*o**3 - 10*o.
(o - 2)*(o - 1)**3*(o + 6)/4
Suppose 5*l = 6*t + 55, -98 = 2*t - 5*l - 43. Factor 1/5*v**3 - 2*v**2 + t - 11/5*v.
v*(v - 11)*(v + 1)/5
Determine t, given that 109*t**2 + 104*t**2 - 211*t**2 - 20*t = 0.
0, 10
Let u(x) be the second derivative of -x**5/20 + 23*x**4/6 + 205*x**3/6 - 125*x**2 + 7564*x. Factor u(w).
-(w - 50)*(w - 1)*(w + 5)
Let o(m) = 2*m - 38. Let n be o(20). Factor 169*d**3 - 8*d**n - 4*d**2 + 700 - 165*d**3 - 180*d.
4*(d - 5)**2*(d + 7)
Let y(u) = -u**2 + u. Let k be (13/4 - 3)*4. Let m(z) = z**2 + 9*z - 60. Let o(g) = k*m(g) - 4*y(g). Let o(f) = 0. What is f?
-4, 3
Suppose 5*d + 1 + 49 = -4*x, -32 = 2*x - d. Let s be (-2 - 84/(-20)) + 3/x. Let -1/4*k**3 + 0 + 1/4*k - 5/4*k**s + 5/4*k**4 = 0. What is k?
-1, 0, 1/5, 1
Let b = -17273/7 - -51847/21. Determine f so that 0*f**2 + 0 - 1/3*f**4 - b*f**3 + 0*f = 0.
-4, 0
Let i be (-1)/((((-3321)/(-216))/41)/(3/8*-2)). Factor 32/7*k - 34/7 + 2/7*k**i.
2*(k - 1)*(k + 17)/7
Let d(v) be the first derivative of -28/3*v**3 - 4*v**2 - 5*v**4 + 0*v - 91. Suppose d(p) = 0. Calculate p.
-1, -2/5, 0
Let z(c) be the first derivative of -c**3 - 6555*c**2 - 14322675*c - 1507. Let z(g) = 0. Calculate g.
-2185
Factor 2343 + 701 - 1105*r - 854 + 4*r**2 + r**2.
5*(r - 219)*(r - 2)
Let o = 1871/9 - -6385/36. Let u = o + -385. Factor -1/4 - u*i**2 + 1/2*i.
-(i - 1)**2/4
Let r = 22665/8 + -2833. Let b(j) be the second derivative of -4*j - 1/48*j**4 + 0 - 1/4*j**2 + r*j**3. Determine l so that b(l) = 0.
1, 2
Factor 94*p**2 - 4*p**3 - 827*p + 200*p + 106*p**2 + 2064 - 604*p - 21*p.
-4*(p - 43)*(p - 4)*(p - 3)
Let u(m) be the first derivative of m**5/10 + 3*m**4 + 65*m**3/6 + 21*m**2/2 + 338. Determine l so that u(l) = 0.
-21, -2, -1, 0
Suppose 2*d - 7*j - 4 = -6*j, 0 = -j. Factor -3*i**d - 368 + 737 + 9*i - 369.
-3*i*(i - 3)
Let a = -16599 - -16607. Let r(u) be the second derivative of 8/3*u**3 + 5/2*u**2 + 1/4*u**4 + 0 - a*u. Factor r(j).
(j + 5)*(3*j + 1)
Let n be (-6)/(-4) + 1820/40. Solve -126*c**4 + n*c**4 + 944*c - 80*c**4 - 2022*c**3 - 3*c**5 + 1434*c - 353*c - 2187 + 2346*c**2 = 0 for c.
-27, -1, 1
Let g(u) be the second derivative of -13*u**5 - 74*u**3 + 149/3*u**4 + 6/5*u**6 + 125*u - 2 + 36*u**2. What is z in g(z) = 0?
2/9, 1, 3
Let v = -201392 + 201393. Determine k, given that 1/2*k + v - 3/2*k**2 = 0.
-2/3, 1
Let z = 6638 - 9932. Let q be z/(-90) - 6/10. Factor 12*u**3 + 33*u**2 + q*u + 27/2 + 3/2*u**4.
3*(u + 1)**2*(u + 3)**2/2
Let m be (-2 - (-17)/9) + (-16042)/18. Let h = -890 - m. Factor -h + 4/3*s**2 + 2/3*s - 2/3*s**3.
-2*(s - 2)*(s - 1)*(s + 1)/3
Suppose -10 + 10 = -d. Let m be (-430 + 437)*(-1 - 69/(-63)). Find g such that -8/3*g**2 + d + 2*g + m*g**3 = 0.
0, 1, 3
Suppose 94*g + 219 = 407. Let l(q) be the first derivative of -q**g - 6 - 4/3*q**3 - 1/3*q**6 + 2*q + 2/5*q**5 + q**4. What is i in l(i) = 0?
-1, 1
Suppose -21 + 57 = -29*n + 36. Let w(g) be the second derivative of -40*g - 1/3*g**6 + 7/2*g**4 + 1/7*g**7 + n - 16/3*g**3 + 4*g**2 - 7/10*g**5. Solve w(s) = 0.
-2, 2/3, 1
Let v(x) be the first derivative of -x**6/36 + 13*x**5/30 - 23*x**4/12 + 8*x**3/3 + 1078. Determine o so that v(o) = 0.
0, 2, 3, 8
Let f be (-63 - (22 + -79))/(-48). Let -f*v**2 + 1/8 + 0*v = 0. Calculate v.
-1, 1
Let f = -248701/24 - -10364. Let a(t) be the third derivative of 0*t - f*t**4 + 3/8*t**6 + 0*t**5 + 0 - 5/3*t**3 - 19*t**2. Suppose a(g) = 0. What is g?
-2/3, -1/3, 1
Suppose -80 = -5*i - 5*d, -63 = -4*i - 20*d + 17*d. Let b be -5 + 65/i + 20/30. Factor b - 3*u**2 - 9/2*u**3 - 3/2*u**4 + 0*u.
-3*u**2*(u + 1)*(u + 2)/2
Let w(p) be the third derivative of 19*p**6/220 - p**5/330 - p**4/3 - 4*p**3/11 - 2*p**2 - 417*p. Let w(f) = 0. What is f?
-2/3, -6/19, 1
Suppose 26*a - 44 - 8 = 0. Suppose -36 = -a*g - 30. Let 0 + g*o**2 + 3*o**3 + 0*o + 3/4*o**4 = 0. What is o?
-2, 0
Factor -56/9 - 2/3*u**2 + 62/9*u.
-2*(u - 1)*(3*u - 28)/9
Suppose 0 = -j - 7 + 18. Let k(t) = -26*t**2 + 41*t - 26. Let m(d) = -14*d + 29 - 66 + 46 + 9*d**2. Let u(a) = j*m(a) + 4*k(a). Factor u(q).
-5*(q - 1)**2
Let g = -54 + 88. Let o be (-3)/9 - (g - 37). Factor o - 4/9*c**3 + 20/9*c - 8/9*c**2.
-4*(c - 2)*(c + 1)*(c + 3)/9
Find b such that -8*b**3 + 64*b**2 - 63 + 1581*b**4 + 8*b**3 + 1582*b**4 - 18*b - 3164*b**4 + 18*b**3 = 0.
-3, -1, 1, 21
Let c(v) be the first derivative of -v**4/20 + 333*v**3/5 - 332667*v**2/10 + 36926037*v/5 + 439. Find n, given that c(n) = 0.
333
Solve -6*n**3 - 50/3*n**2 - 18*n - 2/3*n**4 - 20/3 = 0 for n.
-5, -2, -1
Let l = 280544/3 + -93493. Factor l*g**2 - 5/3*g**3 - 115/3*g + 55/3.
-5*(g - 11)*(g - 1)**2/3
Let f(c) = -13*c - 73. Let d be f(-6). Factor 30*l**5 + 840*l**2 + 857*l**3 + 3*l**d + 217*l**3 + 147*l - 360*l**4 - 6*l**5.
3*l*(l - 7)**2*(3*l + 1)**2
Suppose 23 = 5*q + 3*u, -3*u = -4*q + 2 + 11. Suppose -7*o + q*h + 1 = 9*h, -3*o + 5*h + 29 = 0. Determine z so that 0*z**2 + 1/2 - 1/2*z**4 + z**o - z = 0.
-1, 1
Let n(j) be the second derivative of -1/66*j**4 + 2*j + 0*j**3 + 59 + 1/11*j**2. Suppose n(o) = 0. Calculate o.
-1, 1
Let b(q) be the second derivative of q**4/90 + 1366*q**3/45 + 466489*q**2/15 + 354*q + 2. Determine g, given that b(g) = 0.
-683
Suppose -3*q + 5*q = -5*k + 1, -3*k = 3*q - 15. Suppose -q*d**2 - 38*d + 74 + 72 - 136 = 0. What is d?
-5, 1/4
Let i(n) be the second derivative of -17/3*n**3 - 1/10*n**5 + 8*n**2 + 5/3*n**4 + 12 - n. Determine u so that i(u) = 0.
1, 8
Let h be (-31770)/(-342) + 10/95. Suppose 7*k + 23 - h = 0. Suppose -k*r**2 - 8/5 + 38/5*r**3 + 32/5*r - 14/5*r**4 + 2/5*r**5 = 0. What is r?
1, 2
Suppose -7*i = 2*i + 54. Let u(y) = y**2 - 1. Let f(b) = 8*b**2 + 7*b - 1. Let o(q) = i*u(q) + f(q). Factor o(g).
(g + 1)*(2*g + 5)
Let d be -14 + ((-38532)/(-144))/19. Let u(j) be the third derivative of -1/80*j**5 - 13*j**2 - 5/96*j**4 + 0*j + 0 - d*j**3. Factor u(t).
-(t + 1)*(3*t + 2)/4
Let k(i) be the second derivative of i**7/525 + i**6/300 - 60*i**2 - 67*i + 2. Let h(z) be the first derivative of k(z). Factor h(w).
2*w**3*(w + 1)/5
Let m be (7 - 320)/(-4 + 3). Let d = m - 887/3. Find b such that 8*b**2 - d*b**3 + 0 + 0*b + 8/3*b**4 = 0.
0, 1/2, 6
Factor 0 - 2*v**4 + 47/4*v**2 - 3/2*v + 9/4*v**3.
-v*(v - 3)*(v + 2)*(8*v - 1)/4
Suppose 9*u = 583 + 290. Factor 161*l - 91*l + 2*l**3 - 33 - 26*l**2 + u + 34.
2*(l - 7)**2*(l + 1)
Let i(p) be the third derivative of 1/840*p**7 - 1/20*p**5 + 1/12*p**4 + 4/3*p**3 - 1/240*p**6 + 0*p + 0 - 3*p**2. Find r such that i(r) = 0.
-2, 2, 4
Suppose -s = 6*m - 28, -8*m = -3*m - 2*s - 12. Let z(r) be the first derivative of 0*r + 3/2*r**2 - 3/4*r**m - r**3 + 7 + 3/5*r**5. What is f in z(f) = 0?
-1, 0, 1
Find y such that -64*y**4 - 1270*y**2 - 1166*y**2 + 3490*y**2 - 1170*y**2 - 2*y**5 - 100*y**3 - 78*y**3 = 0.
-29, -2, -1, 0
Suppose -10403 = -59*x - 20824 + 10598. Determine w, given that 5/2*w**x + 0*w + 15/2*w**4 - 5/2*w**5 + 10 - 35/2*w**2 = 0.
-1, 1, 2
Let m = -413 + 315. Let v be 6/7 - (-84)/m. Solve 0*k + v - 2/17*k**2 = 0 for k.
0
Let k(o) = -2986*o - 137354. Let i be k(-46). Suppose 32/15*a - 2/15*a**i + 24/5 = 0. Calculate a.
-2, 18
Let d(f) = -3*f**2 + f. Let n(r) = 7*r**2 + 591*r. Let p(l) = 4*d(l) + n(l). What is m in p(m) = 0?
0, 119
Let m(f) = -81*f**3 - 3537*f**2 + 7344*f + 11097. Let l(t) = -5*t**3 - 221*t**2 + 459*t + 693. Let j(v) = 33*l(v) - 2*m(v). Factor j(i).
-3*(i - 3)*(i + 1)*(i + 75)
Let b be (-2 - -15) + (0 - (-475)/(-38)). Suppose -1/4*s**5 + 0*s**2 - b*s**3 + 0*s + 0 + 3/4*s**4 = 0. What is s?
0, 1, 2
Let h(l) be the first derivative of -13/8*l**4 + 3/4*l**5 - 29 + 0*l + 5/4*l**2 + 1/4*l**3 - 1/12*l**6. Determine a so that h(a) = 0.
-1/2, 0, 1, 2, 5
Let m = -169 - -169. Factor m*a**3 + 207*a + 42 - 276*a - 3*a**3 + 30*a**2 + 0*a**3.
-3*(a - 7)*(a - 2)*(