(-33))/(2/15). Let v = d - 5. Determine u so that -8*u + 5*u**2 - 28*u**4 + 23*u**2 + 26*u**5 - 4*u**v - 16*u**3 + 2*u**5 = 0.
-1, 0, 1/2, 2/3, 1
Let f(p) be the third derivative of -4/105*p**5 + 2/735*p**7 - 2/21*p**3 + 0*p - 25*p**2 + 1/1176*p**8 - 1/12*p**4 - 1/210*p**6 + 0. Factor f(h).
2*(h - 2)*(h + 1)**4/7
Let y(i) = 6*i**3 - 12*i**2 + 96*i - 122. Let f(b) = b**3 - 1. Let w(d) = -10*f(d) + y(d). Factor w(o).
-4*(o - 2)**2*(o + 7)
Let p be (-5048)/2030 - (-10)/(-35). Let o = 24/29 - p. Factor 0 + 0*k + 14/5*k**5 + 0*k**2 + 4/5*k**3 - o*k**4.
2*k**3*(k - 1)*(7*k - 2)/5
Find p, given that 3*p**3 + 0 - 6/5*p**2 - 24/5*p - 3/5*p**4 = 0.
-1, 0, 2, 4
Suppose 2*w - 10 = 2*x, 3 = 5*x + 3*w - 12. Let x*n + 0 - 2/7*n**2 = 0. What is n?
0
Suppose 0 = -5*j + 2*t - 3*t - 100, 0 = j + 3*t + 34. Let d be 20/(-175)*j*15/6. Find a, given that -18/7*a**3 - d*a - 6/7 - 66/7*a**2 = 0.
-3, -1/3
Let a be 0 - 4/(-28) - (116/28 - 6). Let g = -2 + 4. Factor 0 - 2/5*u**5 + 4/5*u**g + 0*u - a*u**3 + 8/5*u**4.
-2*u**2*(u - 2)*(u - 1)**2/5
Let q = -20 - -28. Let t be (9/12)/(2/q). Factor -4*f - 5*f**t + 0*f**3 - f**4 - 4*f**2 - 4*f**2.
-f*(f + 1)*(f + 2)**2
Solve 9/10*c**2 + 1/2*c**3 + 1/10*c**4 + 7/10*c + 1/5 = 0 for c.
-2, -1
Let s(y) be the third derivative of -y**7/840 + y**5/120 - y**3/24 - 3*y**2 + 31*y. Factor s(b).
-(b - 1)**2*(b + 1)**2/4
Let y(a) = -2*a**2 - 61*a + 398. Let b be y(-36). Find w, given that 1/4 - 3/8*w + 1/8*w**b = 0.
1, 2
Let l(b) be the first derivative of b**6/15 + 2*b**5/5 + 4*b**4/5 + 8*b**3/15 + 67. Solve l(v) = 0 for v.
-2, -1, 0
Let x = -550 - -550. Let s(h) be the third derivative of -1/10*h**5 + 0 - 1/2*h**3 - 6*h**2 - 1/20*h**6 + 3/70*h**7 + x*h + 3/8*h**4 - 1/112*h**8. Factor s(w).
-3*(w - 1)**4*(w + 1)
Factor 5*s**4 + 6*s**5 + 16*s**2 - 5*s**5 - 7*s**3 - 7*s**4 + 7*s**4 - 15*s**3.
s**2*(s - 2)*(s - 1)*(s + 8)
Factor -140*g - 5*g**3 - 874 + 1004 - 125*g + 140*g**2.
-5*(g - 26)*(g - 1)**2
Let p(y) be the third derivative of 0 + 1/2*y**3 - 19*y**2 + 1/4*y**4 + 1/160*y**6 + 0*y + 1/16*y**5. Determine h so that p(h) = 0.
-2, -1
Suppose -143*s = 22*s - 495. Find x, given that 8/3*x + 22/9*x**2 - 20/3*x**s - 8/9 - 50/9*x**4 = 0.
-1, 2/5
Let c(m) = -m**2 - 11*m**3 + 12*m**3 + 2 - 1. Let s(j) = -4*j**3 + 2*j. Let n be ((-5)/(15/6))/(-2). Let p(f) = n*s(f) + 2*c(f). Find y such that p(y) = 0.
-1, 1
Let v be (-1*9)/(18/(-24)). Solve v - 4*k**3 + 7 - 19 = 0.
0
Let n = 104 + -99. Let a be (n/(-25))/(49/(-70)). Determine q so that -2/7 + a*q**2 + 0*q = 0.
-1, 1
Let o(j) = -3*j**4 - 8*j**3 - 5*j**2 + 10*j. Let p(a) = -12*a**4 - 33*a**3 - 21*a**2 + 42*a. Let b(z) = 21*o(z) - 5*p(z). Suppose b(x) = 0. What is x?
-1, 0
Let k(x) be the first derivative of 4*x**6/21 - 4*x**5/7 + 4*x**4/7 - 4*x**3/21 + 585. Factor k(h).
4*h**2*(h - 1)**2*(2*h - 1)/7
Let z = -506/9 - -1039/18. Solve -z*w + 0 - 3/2*w**2 = 0.
-1, 0
Let x(v) be the third derivative of v**7/420 - 29*v**6/120 + 781*v**5/120 + 145*v**4/4 + 75*v**3 + 279*v**2. Factor x(a).
(a - 30)**2*(a + 1)**2/2
Let k(u) = -55*u - 273. Let d be k(-5). Factor -d*z**2 + 2/3*z**4 - 2/3*z + 4/3 + 2/3*z**3.
2*(z - 1)**2*(z + 1)*(z + 2)/3
Let w(i) be the first derivative of -8*i**6/3 - 96*i**5/5 + 59*i**4 - 52*i**3 + 16*i**2 + 27. Let w(o) = 0. Calculate o.
-8, 0, 1/2, 1
Let a(y) be the second derivative of 0 - 1/4*y**3 - 1/80*y**5 + 3/32*y**4 + y + y**2. Let c(s) be the first derivative of a(s). Suppose c(k) = 0. Calculate k.
1, 2
Let l(h) = -2*h**4 + 5*h - h**4 - 4*h**2 - 13*h - 8*h**3 + 7*h**4. Let f(x) = -x**4 + x. Let s(j) = 8*f(j) + l(j). Factor s(p).
-4*p**2*(p + 1)**2
Let h(c) be the first derivative of c**6/3060 - c**4/51 - 7*c**3/3 - c**2 - 34. Let p(d) be the third derivative of h(d). Factor p(v).
2*(v - 2)*(v + 2)/17
Factor -32*d**2 + 50*d**3 - 46*d**2 + 5*d**4 - 30*d**2 + 153*d**2.
5*d**2*(d + 1)*(d + 9)
Let t(y) = 0*y - 3*y + 2*y - 17 + 15. Let m be t(-2). Factor 0*o + 0 - 2/7*o**4 - 2/7*o**3 + m*o**2.
-2*o**3*(o + 1)/7
Suppose 7*b = 3*b + 16. Factor -8*p**2 - 5*p**3 - 13*p**3 + 6*p**3 - 4*p**b.
-4*p**2*(p + 1)*(p + 2)
Let j(h) be the second derivative of h**6/24 + h**5/6 + 5*h**2/2 + 7*h. Let i(r) be the first derivative of j(r). Factor i(c).
5*c**2*(c + 2)
What is p in -10/7*p**3 + 0 - 2/7*p**4 - 8/7*p - 16/7*p**2 = 0?
-2, -1, 0
Suppose -3*m + 19 = 2*x, 4*x - 4*m - 8 = -0. Let k be (-10)/8*(1 - x). Factor -4*w**k + 2*w**3 + 3*w**3 + 4*w**2 - 4*w**4 - w**3.
-4*w**2*(w - 1)*(w + 1)**2
Let v(q) = -4*q + q**2 - 1 + 5*q + 2. Let p be (-7)/7*(2 - 3). Let h(c) = 4*c + 2. Let j(l) = p*h(l) - 2*v(l). Let j(t) = 0. Calculate t.
0, 1
Let a(k) be the second derivative of k**5/20 - k**4/8 - k**3/6 - 166*k - 2. Factor a(c).
c*(c - 2)*(2*c + 1)/2
Let i(m) be the third derivative of m**7/5040 - m**6/288 + m**5/40 - 17*m**4/12 + 34*m**2. Let h(q) be the second derivative of i(q). Factor h(d).
(d - 3)*(d - 2)/2
Factor 646/9*r**2 + 70/9*r**3 + 2/9*r**4 + 0 + 578/9*r.
2*r*(r + 1)*(r + 17)**2/9
Let z(p) = 4*p**2 - 9*p. Let g(r) = r**2 - r - 7*r + 6*r. Suppose -4*q + 6*q = 4. Let n(d) = q*z(d) - 9*g(d). Solve n(a) = 0 for a.
0
Let y(w) = 69*w**5 + 260*w**4 + 60*w**3 - 11. Let s(d) = 14*d**5 + 52*d**4 + 12*d**3 - 2. Let k(x) = -11*s(x) + 2*y(x). Factor k(g).
-4*g**3*(g + 3)*(4*g + 1)
Let k(p) be the second derivative of -5*p**7/84 + 4*p**6/3 - 61*p**5/8 - 115*p**4/12 + 200*p**3/3 + 160*p**2 + 2*p - 39. Solve k(s) = 0.
-1, 2, 8
Let i(r) be the first derivative of -25*r**3/3 - 35*r + 10. Let l(z) = z**2 + 1. Let s(n) = -i(n) - 30*l(n). Factor s(p).
-5*(p - 1)*(p + 1)
Let g(l) be the third derivative of l**6/3060 + l**5/170 + 3*l**4/68 + l**3/6 + 6*l**2. Let v(s) be the first derivative of g(s). Factor v(r).
2*(r + 3)**2/17
Determine k, given that -4*k**4 - 108*k**2 + 108*k**3 - 16*k**5 + 22*k - 238*k + 12*k**5 = 0.
-6, -1, 0, 3
Factor -7*c**3 - c - 8*c - 10*c + 18*c + 8*c**3.
c*(c - 1)*(c + 1)
Let m(n) be the first derivative of -4*n**2 + 0*n**3 + 0*n + 0*n**5 - 1/540*n**6 + 0*n**4 - 4. Let h(f) be the second derivative of m(f). What is i in h(i) = 0?
0
Let k(b) = -b**3 - 23*b**2 - 21*b + 28. Let s be k(-22). Let -566 + 4*i**2 + s*i**3 + 562 - 4*i - 2*i**3 = 0. What is i?
-1, 1
Let r(p) = -5*p**3 - 620*p**2 - 26455*p - 370440. Let m(q) = -5*q**3 - 618*q**2 - 26454*q - 370440. Let o(s) = 5*m(s) - 6*r(s). Factor o(v).
5*(v + 42)**3
Let x(q) be the second derivative of -3*q**5/10 + 2*q**4/3 + 5*q**3/3 - 2*q**2 + 2*q + 91. Factor x(a).
-2*(a - 2)*(a + 1)*(3*a - 1)
Let h = -166640/3 + 55549. Factor h*u + 1/3*u**2 + 2.
(u + 1)*(u + 6)/3
Let l(m) be the first derivative of 2*m**3/27 - 2*m**2/3 - 14*m/9 - 117. Factor l(c).
2*(c - 7)*(c + 1)/9
Factor 2/17*n**2 + 76/17*n + 722/17.
2*(n + 19)**2/17
Determine h, given that 4/5*h**3 + 0 + 28/5*h**2 - 32/5*h = 0.
-8, 0, 1
Let q(k) be the first derivative of -k**4/3 - 20*k**3 - 450*k**2 + 15*k + 1. Let b(m) be the first derivative of q(m). Factor b(i).
-4*(i + 15)**2
Let i(x) be the second derivative of -3*x**5/80 + 27*x**3/2 + 162*x**2 + 286*x. Solve i(k) = 0.
-6, 12
Suppose 1290 = -3*m + 8*m. Find k such that -2*k + m + 2*k**5 - 258 - 4*k**2 + 4*k**4 = 0.
-1, 0, 1
Let n(v) be the first derivative of v**4/14 - 2*v**3/21 - 6*v**2/7 - 56. Factor n(i).
2*i*(i - 3)*(i + 2)/7
Determine t, given that 229/2*t**2 + 0 + 3/2*t**3 - 77*t = 0.
-77, 0, 2/3
Let x(p) be the first derivative of -7*p**4/6 - 4*p**3/3 - 4*p**2/7 + 34*p + 13. Let d(m) be the first derivative of x(m). Suppose d(r) = 0. Calculate r.
-2/7
Let c(q) be the second derivative of -2/7*q**3 + 2/7*q**4 + 3*q + 1/70*q**6 - 3/28*q**5 + 0*q**2 + 5. Solve c(w) = 0.
0, 1, 2
Factor 72/5*t + 4/5*t**2 + 288/5.
4*(t + 6)*(t + 12)/5
Let o(w) be the third derivative of w**6/90 + 8*w**5/15 + 32*w**4/3 - 7*w**3/3 - 6*w**2. Let m(l) be the first derivative of o(l). Factor m(f).
4*(f + 8)**2
Let v(d) = -d**3 + 18*d**2 - 18*d + 19. Let j be ((-204)/36)/((-1)/3). Let t be v(j). Factor t*x**2 + x**3 - 3*x**2 + 0*x**2.
x**2*(x - 1)
Let a = 13 + -10. Let d be (4/a)/((-4)/(-6)). Find q such that -2*q**2 - q + q**5 - 25 + d*q**4 + 25 = 0.
-1, 0, 1
Let d(h) be the third derivative of h**7/150 - 37*h**6/600 + 11*h**5/50 - 11*h**4/30 + 4*h**3/15 - 425*h**2. Factor d(v).
(v - 2)**2*(v - 1)*(7*v - 2)/5
Let 1/2*x**4 + 0 + 4*x + 5*x**3 + 17/2*x**2 = 0. 