10 - 1/((-8)/672*-14). Determine r, given that p*r**2 - 24/5 + 4/5*r**3 + 4/5*r = 0.
-3, -2, 1
Factor 0 + k**3 + 1/3*k - 1/3*k**4 - k**2.
-k*(k - 1)**3/3
Factor -2/3*a**3 + 88/3 + 10*a**2 - 32*a.
-2*(a - 11)*(a - 2)**2/3
Let n(p) = -p. Let y be n(9). Let k = y - -13. Let -k - 6*c + 1 + 2 - 4*c**2 - 1 = 0. Calculate c.
-1, -1/2
Suppose -3 = -4*b + 3*b. Let h be (0/5)/(b + -1 - 0). Let -8/7*i**3 - 2/7*i**2 + 0 - 6/7*i**4 + h*i = 0. Calculate i.
-1, -1/3, 0
Let l(a) = a**3 + 17*a**2 + 16*a + 18. Let v be l(-16). Let m be ((-2)/3)/((-4)/v). Determine z, given that 1 + 10*z**2 - m*z - 11*z + 3 = 0.
2/5, 1
Let f(y) be the second derivative of 1/4*y**5 + 0*y**4 + 11*y + 0*y**3 + 0 + 0*y**2 - 1/3*y**6 + 5/42*y**7. What is k in f(k) = 0?
0, 1
Let w(u) = u**3 - 14*u**2 + u - 12. Let d be w(14). Suppose z + 4 = 3*z. Suppose -144*l**4 - 164*l**5 - 71*l**z + 71*l**d - 160*l**5 - 16*l**3 = 0. What is l?
-2/9, 0
Let z = 276 + -192. Let p be 12/z + (-38)/(-28). Factor 0 - p*x**4 + 3*x + 9/2*x**2 + 0*x**3.
-3*x*(x - 2)*(x + 1)**2/2
Let l(k) be the first derivative of -k**4/9 - 20*k**3/9 - 8*k**2/3 + 112*k/9 + 9. Factor l(f).
-4*(f - 1)*(f + 2)*(f + 14)/9
Let d be (16/(-24))/((4/6)/(-2)). Determine r, given that 3*r**4 + 93 + d*r**3 - 3*r**2 - 93 + r**3 - 3*r = 0.
-1, 0, 1
Let d(h) be the first derivative of 2*h**3/21 + 6*h**2 + 126*h + 308. Factor d(n).
2*(n + 21)**2/7
Find w, given that 5/4*w + 3/4 - 2*w**2 = 0.
-3/8, 1
Let z = 0 + 2. Suppose 0*i = -5*c + i + 13, -z*c - 2*i - 2 = 0. Factor 2 + 4*k**3 - 4*k + 3*k**2 - 3*k**2 - c*k**4.
-2*(k - 1)**3*(k + 1)
Let u = -20 + 23. Determine g so that -8*g + 0*g**u + 2*g**3 + 17*g**4 + 5*g**5 - 20*g**2 + 0*g**3 + 4*g**3 = 0.
-2, -2/5, 0, 1
Factor 0 - 1/4*k**2 - 5/4*k**3 + 5/4*k + 1/4*k**4.
k*(k - 5)*(k - 1)*(k + 1)/4
Factor 8/7*g**2 + 10/7 + 6*g.
2*(g + 5)*(4*g + 1)/7
Determine r so that -320 + 614 - 12*r + 2*r**2 + 30*r**2 - 314 = 0.
-5/8, 1
Let q(c) = c**4 - 2*c - 1. Let b(h) = -3*h**3 + h**2 + h - 1. Let o(l) = 4*b(l) - 4*q(l). Factor o(w).
-4*w*(w - 1)*(w + 1)*(w + 3)
Factor 1/6*g**3 + 17/2*g**2 - 1/6*g - 17/2.
(g - 1)*(g + 1)*(g + 51)/6
What is o in -1800*o + 7777/10*o**2 - 3/10*o**5 - 1333/10*o**3 + 2592/5 + 103/10*o**4 = 0?
1/3, 8, 9
Let r(q) = -5*q**3 - 41*q**2. Let d(s) = -7*s**3 - 40*s**2. Let j(l) = -3*d(l) + 4*r(l). Factor j(o).
o**2*(o - 44)
Let c = -15 + 41. Suppose -2*a = 2*a + u - c, 4 = -2*u. Solve -a*r**2 - 3*r**2 - r**4 + 8*r**3 - r**4 + 4*r = 0 for r.
0, 1, 2
Let v(y) be the second derivative of -y**9/18900 + y**8/8400 - y**7/12600 - 13*y**4/12 - 10*y. Let r(p) be the third derivative of v(p). Factor r(t).
-t**2*(2*t - 1)**2/5
Factor 377*x - 1280 + 420*x**2 - 1545*x**2 - 1196*x - 366*x - 1215*x.
-5*(15*x + 16)**2
Let w(p) be the first derivative of -5*p**3/3 - 95*p**2/2 - 94. Factor w(j).
-5*j*(j + 19)
Let b(v) = -3*v**2 + 90*v + 2209. Let k(j) = -5*j**2 + 181*j + 4418. Let f(h) = 7*b(h) - 4*k(h). Determine d so that f(d) = 0.
-47
Let j be (-99)/(-27) + (-3)/36*-4. Solve 0 + 2/5*f**j + 0*f + 4/5*f**3 - 6/5*f**2 = 0.
-3, 0, 1
Determine a, given that -25/4*a**3 - 15/4*a**4 + 5*a + 15/4*a**2 + 5/4*a**5 + 0 = 0.
-1, 0, 1, 4
Let y be 1/((-8 + 3)/(-50)). Factor 32*h**5 + 56*h**3 - 2 + 104*h**4 + 22*h**2 - y*h + 5*h + 0*h**2 + 36*h**3.
(h + 2)*(2*h + 1)**3*(4*h - 1)
Suppose 11*c - 25 + 3 = 0. Solve -516 + r**5 - 4*r + c*r**2 - 4*r**3 + 514 + 7*r = 0 for r.
-2, -1, 1
Suppose 5*b + 35/4*b**2 - 15/4 = 0. What is b?
-1, 3/7
Let j(p) = -2*p**3 - 13*p**2 - 11*p. Let o(d) = d**3 + 7*d**2 + 6*d. Let v = 50 - 56. Let q(s) = v*j(s) - 11*o(s). Factor q(w).
w**2*(w + 1)
Let j = -19/98 - -593/98. Let o = 233/35 - j. What is h in -4/5 + 2/5*h - 2/5*h**3 + o*h**2 = 0?
-1, 1, 2
Let s = -3228556 - -1953275901/605. Let w = 1/121 - s. Factor 0 + w*c + 2/5*c**2.
2*c*(c + 2)/5
Let j(s) be the third derivative of -7*s**2 + 8/5*s**5 + 0*s**3 + 0 + 3/2*s**4 + 0*s + 1/84*s**8 + 11/15*s**6 + 16/105*s**7. Factor j(i).
4*i*(i + 1)**2*(i + 3)**2
Let i be 2/37 + (-147150)/(-49950). Suppose -12/5*l + 0 - 2*l**2 + 2/5*l**i = 0. What is l?
-1, 0, 6
Let r(h) be the third derivative of -h**6/420 + 8*h**5/105 - 16*h**4/21 - 4*h**2 + 15. Factor r(x).
-2*x*(x - 8)**2/7
Let o(w) be the first derivative of -w**4/15 + 8*w**3/15 - 6*w**2/5 - 16*w - 10. Let u(z) be the first derivative of o(z). Let u(i) = 0. Calculate i.
1, 3
Let y(q) be the second derivative of 1/40*q**5 + 1/24*q**4 - 1/60*q**6 + 0*q**2 - 1/84*q**7 + 0 + 0*q**3 - 4*q. Factor y(p).
-p**2*(p - 1)*(p + 1)**2/2
Suppose 441*u - c - 24 = 436*u, 3*u - 4*c - 28 = 0. Suppose 0 - 1/9*a**2 - 1/9*a**u + 0*a - 2/9*a**3 = 0. What is a?
-1, 0
Suppose 5*g + 31*q = 29*q + 6, 0 = q + 2. Suppose -5/4*n**3 + 0 + 17/4*n**g - 3/2*n = 0. What is n?
0, 2/5, 3
Let s = -251 + 255. Let r be s*(-4)/(-32) - 0. Factor 1/4*v**2 + 1/4 - r*v.
(v - 1)**2/4
Let b(w) be the third derivative of 0*w**4 - 1/180*w**5 + 0 + 0*w + 2*w**2 + 0*w**3. What is h in b(h) = 0?
0
Let a(q) be the first derivative of -5*q**5/4 - 45*q**4/16 + 13*q**3/6 + 9*q**2/2 + 2*q + 174. Solve a(n) = 0.
-2, -2/5, 1
Let w be ((-2)/6 + (-202)/(-2424))/(7/(-8)). Find o such that 8/7 + 6/7*o - w*o**2 = 0.
-1, 4
Suppose 114 + 66 = 4*b. Determine z, given that -b*z**4 - 3*z**2 - z**3 + 3*z**5 - 2*z**3 + 48*z**4 = 0.
-1, 0, 1
Let d(i) be the second derivative of 0*i**3 - 22*i + 7/54*i**4 - 4/9*i**2 - 1/189*i**7 + 0 + 1/90*i**5 - 1/45*i**6. Suppose d(a) = 0. What is a?
-2, -1, 1
Let s(z) = -4*z**4 + 20*z**3 - 13*z**2 - 66*z + 81. Let w(a) = -a**4 + 5*a**3 - 3*a**2 - 17*a + 20. Let c(k) = 4*s(k) - 18*w(k). Suppose c(f) = 0. What is f?
-2, 1, 3
Let m = 4 + 0. Suppose 0*n - 16 = -4*f + 2*n, 4*f - 16 = -2*n. Suppose f*q**3 + 6*q**2 + 2*q + m*q**3 - 4*q**3 = 0. Calculate q.
-1, -1/2, 0
Let o = 297 - 297. Let i(m) be the third derivative of o*m + 0 + 0*m**5 + 3*m**2 + 0*m**4 - 1/600*m**6 - 1/525*m**7 - 1/1680*m**8 + 0*m**3. Factor i(l).
-l**3*(l + 1)**2/5
Factor -1135*w**3 + 1126*w**3 - w**4 + 0*w**4.
-w**3*(w + 9)
Let o = -493/126 + 91/18. Suppose -4/7*v + o*v**2 + 0 = 0. Calculate v.
0, 1/2
Suppose -5*d = -5*v - 34555, -3*v = -3*d + d + 13819. Let f = d + -34314/5. Factor 4/5*l**3 + f + 192/5*l + 48/5*l**2.
4*(l + 4)**3/5
Let k(s) = 2*s - 50. Let b be k(26). Determine d so that b*d**4 + 18*d**2 + 20*d**3 + 45*d**2 + 16*d - 4*d**4 - 97*d**2 = 0.
0, 1, 8
Suppose 0 - p**5 - 23*p**2 + 0 + 21*p**2 - 12*p + 7*p**3 + 8 = 0. Calculate p.
-2, 1, 2
Suppose 6059 - 6477 = -209*u. Determine z so that -3/7*z**u + 10/7*z - 1 = 0.
1, 7/3
Let t(f) = f**3 + 3*f**2 - 2*f - 2. Suppose 0*q + q = -4*j - 15, -3*j - q = 12. Let y be t(j). Factor i**2 + 7*i**4 - i**5 + i**3 + 0*i**4 - 4*i**4 - 4*i**y.
-i**2*(i - 1)*(i + 1)**2
Let x = -14 - -60. Suppose 3*d - 32 = -4*v, -2*v = -5*d - 5*v + x. Let 2*c**4 + c**4 + 11*c**5 - d*c**5 = 0. Calculate c.
-1, 0
Let v = 119 + -111. Let j(a) = 66*a**2 - 444*a + 1026. Let i(n) = -n**3 + 197*n**2 - 1331*n + 3079. Let g(d) = v*j(d) - 3*i(d). Let g(w) = 0. What is w?
7
Let g(o) be the first derivative of -o**4/12 + 4*o**3/9 - 5*o**2/6 + 2*o/3 - 1006. Suppose g(d) = 0. Calculate d.
1, 2
Factor 3*b + 0 + 1/2*b**2.
b*(b + 6)/2
Let l(g) be the second derivative of 2*g**6/15 + g**5/5 - g**4/3 - 2*g**3/3 - 167*g. Factor l(k).
4*k*(k - 1)*(k + 1)**2
Suppose 8/11*r - 42/11 + 2/11*r**2 = 0. What is r?
-7, 3
Let j be 21/(-18) + (-470)/(-188). Solve 0*u + 0 + j*u**3 - 2*u**2 + 2/3*u**4 = 0.
-3, 0, 1
Let n = -7 - -9. Suppose 8*j - 8 - 2*j**4 + n - 12*j**2 + 8*j**3 + 4 = 0. Calculate j.
1
Let u(m) be the first derivative of -2*m**3/3 + 22*m**2 + 75. Solve u(o) = 0 for o.
0, 22
Let u(a) = -3*a**5 - a**4 - a**3 + 13*a**2 + 8*a. Let f(r) = 16*r**5 + 6*r**4 + 10*r**3 - 66*r**2 - 42*r. Let t(l) = 2*f(l) + 11*u(l). Factor t(k).
-k*(k - 4)*(k + 1)**3
Let h(m) be the third derivative of -1/120*m**4 + 1/15*m**3 + 0*m + 1/600*m**6 - 1/150*m**5 + 0 + 12*m**2. Factor h(r).
(r - 2)*(r - 1)*(r + 1)/5
Let b(f) = -3*f**3 + 2*f**2 + 5*f - 2. Let i(y) = 21*y**3 - 15*y**2 - 36*y + 15. Let r = -34 + 19. Let l(u) = r*b(u) - 2*i(u). Find q, given that l(q) = 0.
-1, 0, 1
Let w(n) be the second derivative of -n**5/40 + 4*n**3 + 32*n**2 - 2*n - 97. Factor w(a).
-(a - 8)*(a + 4)**2/2
Let r = -5784 + 17360/3. Factor 4*z**2 + 2/3*z**4 + r*z + 2/3 + 8/3*z**3.
2*(z + 1)**4/3
Let x(d