4)/(-24)*(3 + 80/(-25))*-4. Find a such that 8/5*a - 24/5 - j*a**2 = 0.
6
Let o(h) = -2*h**4 + 3*h**3 + 5*h**2 - 6*h + 6. Let z(l) = l**4 - l**2 + l - 1. Suppose -5*a + 4*a - 6 = 0. Let k(g) = a*z(g) - o(g). Let k(s) = 0. Calculate s.
-1, 0, 1/4
Let -324/5*h - 8748/5 - 3/5*h**2 = 0. Calculate h.
-54
Let p(m) = m**3 - m**2 - 2*m + 2. Let g be p(0). Let c be (0/g)/(-5 + 3). Factor c*b - 2/5*b**2 + 0.
-2*b**2/5
What is w in 35*w**3 - 5*w**4 + 1584937*w - 1584972*w + 5*w**2 + 0*w**4 = 0?
-1, 0, 1, 7
Suppose -19*w + 45 = -69. Suppose -w*c + 15 - 3 = 0. Factor -8/3*o**4 + 0 - 4/3*o**c - 2/3*o + 14/3*o**3.
-2*o*(o - 1)**2*(4*o + 1)/3
Suppose -2*z + 13 = -3*i, 0*i - 12 = -3*z + 2*i. Determine n, given that 4*n - 4 + 5*n - 12*n**2 - n + 24*n**z = 0.
-1, 1/3
Let r be (-1782)/(-792)*(-10)/(-3). Suppose r*y + 9/2 + 3*y**2 = 0. Calculate y.
-3/2, -1
Let p(o) = -o**3 - 3*o**2 + 4*o + 3. Let d be p(-4). Let m(i) be the third derivative of 2/105*i**5 + 0*i + 0 + i**2 + 1/21*i**d - 5/84*i**4. Factor m(j).
2*(j - 1)*(4*j - 1)/7
Let n(o) be the third derivative of 9*o**6/80 - 11*o**5/40 + o**4/8 - 15*o**2. Solve n(c) = 0.
0, 2/9, 1
Factor 1/4*q**4 - 15/2*q**3 + 225/4*q**2 + 0 + 0*q.
q**2*(q - 15)**2/4
Let u be 2/6 + 14/3. Factor -u*z**2 - 12*z - 18*z + 25*z.
-5*z*(z + 1)
Suppose 2*t = -5*n - 15, -4*t - 2*n + 49 = 55. Let h(l) be the second derivative of 1/9*l**4 + 0 + 9*l + t*l**2 - 2/3*l**3. Find b such that h(b) = 0.
0, 3
Let c = 32 + -38. Let n be 1 - ((-16)/72)/((-4)/c). Factor -n*l**3 + 10/3*l**2 - 8/3*l + 2/3.
-2*(l - 1)**2*(2*l - 1)/3
Suppose 52 = 13*w + 13*w. Let b(o) be the second derivative of o**w + 1/15*o**6 + 2/5*o**5 - 2*o + 0 + 4/3*o**3 + o**4. Determine y so that b(y) = 0.
-1
Let r(t) be the first derivative of 0*t**2 + 17 - 1/3*t**3 + 0*t**4 + 1/5*t**5 + 0*t. Factor r(z).
z**2*(z - 1)*(z + 1)
Let g(d) = d**2 + 3*d + 2. Let a(s) = s + 1. Let o be (0/5)/(-2) + 4. Let t(f) = o*a(f) - g(f). Find r such that t(r) = 0.
-1, 2
Let u be (-2)/4 - (-2)/4. Let z be (-4)/(-14) - (-208)/56. Solve -3/2*i**2 + 3*i**3 - 3*i + u + 3/2*i**z = 0 for i.
-2, -1, 0, 1
Let j be (-1)/((-2 - -3)/(-1)). Let w(v) = 2*v**2 - 2*v - 2. Let n be w(2). Let -6*a**2 - 4*a**3 - 1 + j - 2*a**n - 4*a = 0. Calculate a.
-1, 0
Suppose 5*b + 51 = 22*b. What is r in 4/9 - 4/9*r**2 + 2/9*r - 2/9*r**b = 0?
-2, -1, 1
Let i = -40 - -45. Find l, given that -3*l**4 - i*l**4 - 3*l**2 - 9*l**3 + 13*l**4 - 2*l**4 + 9*l = 0.
-1, 0, 1, 3
Let g = -69/143 - -7/11. Let h = -12489/13 - -961. What is l in h - 6/13*l + g*l**3 + 0*l**2 = 0?
-2, 1
Let u = 38 + -34. Factor 28*x**u + 24*x**3 + 8*x**4 + 16*x**2 - 72*x**3.
4*x**2*(3*x - 2)**2
Let q(g) be the first derivative of -g**3/3 - 16*g**2 + 37. Let q(d) = 0. Calculate d.
-32, 0
Let m = -1727669/81336 + -9/16945. Let a = m + 171/8. Find b, given that -a*b**3 - 8/15 + 2/5*b**2 + 0*b = 0.
-1, 2
Let t = 5 + -2. Suppose 3*u - 3*k = t + 3, -5*k + 22 = 3*u. Factor 3 + u*r + 2*r**2 + 0*r - 4*r**2 - 5.
-2*(r - 1)**2
Suppose -t + 14 - 3 = 0. Let -2*c - t*c**2 + 10*c**2 - 7 + 6 = 0. Calculate c.
-1
Find m such that -6*m**4 + 28*m**3 + 54*m**2 + 3*m**5 - 34*m**3 - 27*m - 18*m**3 = 0.
-3, 0, 1, 3
Suppose -9 = c + 3*q - 1, -2*c + 3*q = -20. Let t(k) be the second derivative of 2*k**3 + 5*k + 0*k**2 + 0 + 1/4*k**c. Factor t(s).
3*s*(s + 4)
Let p(l) be the third derivative of l**7/315 - l**6/90 - 7*l**5/90 - l**4/9 - 34*l**2 - l. Factor p(b).
2*b*(b - 4)*(b + 1)**2/3
Let g(f) be the second derivative of -1/10*f**6 - 9/20*f**5 - 3/4*f**4 + 0*f**2 - 1/2*f**3 + 6*f + 0. Solve g(i) = 0 for i.
-1, 0
Suppose 0 = 6*x - r - 27 + 11, 0 = 3*x + 2*r + 2. Let -2/9*a + 0 - 2/9*a**x = 0. Calculate a.
-1, 0
Let c(b) = 8*b**4 - 13*b**3 - 7*b**2 + 30*b - 3. Let g(k) = 13*k**4 - 27*k**3 - 16*k**2 + 60*k - 5. Let f(w) = -5*c(w) + 3*g(w). Factor f(p).
-p*(p - 1)*(p + 2)*(p + 15)
Factor -450 - 2/9*r**2 - 20*r.
-2*(r + 45)**2/9
Let g(f) be the third derivative of f**5/330 + 7*f**4/132 + 2*f**3/11 + 125*f**2. Solve g(h) = 0.
-6, -1
Let w be 0/((3 + 1)/4). Let b(v) be the third derivative of 0*v**3 - 1/480*v**6 - 1/48*v**4 + 0 + w*v - 4*v**2 + 1/80*v**5. Determine m so that b(m) = 0.
0, 1, 2
Let u(k) be the first derivative of k**6/16 + 9*k**5/10 - 87*k**4/32 - 3*k**3/2 + 21*k**2/4 - 389. Solve u(v) = 0 for v.
-14, -1, 0, 1, 2
Let b(x) be the third derivative of -3*x**8/112 - 2*x**7/5 + 27*x**6/20 - 3*x**5/5 - 11*x**4/8 - 476*x**2. Find r, given that b(r) = 0.
-11, -1/3, 0, 1
Suppose -5*a = -20*a + 30. Let n(j) be the second derivative of 0 + 0*j**a + 1/10*j**6 - 1/4*j**4 + 3/20*j**5 - 1/14*j**7 - 6*j + 0*j**3. Factor n(s).
-3*s**2*(s - 1)**2*(s + 1)
Let z be (0/(-1))/(78 - 70). Find w such that 0 - 2/3*w**3 + 4/3*w**2 + z*w = 0.
0, 2
Let a(n) be the second derivative of n**5/150 - 11*n**4/90 - n**3/45 + 11*n**2/15 + 178*n. Let a(l) = 0. Calculate l.
-1, 1, 11
Let p(h) be the second derivative of -h**9/3780 + h**8/1680 + h**7/630 - h**6/180 - 29*h**4/12 - 37*h. Let k(b) be the third derivative of p(b). Factor k(l).
-4*l*(l - 1)**2*(l + 1)
Suppose -5*j + 40 = 5. Let t(c) be the second derivative of 5/21*c**3 + 1/147*c**j - 3*c - 5/21*c**4 + 1/7*c**5 - 1/7*c**2 - 1/21*c**6 + 0. Factor t(p).
2*(p - 1)**5/7
Let p(n) be the first derivative of 3*n**5/5 + 15*n**4/4 + 6*n**3 - 6*n**2 - 24*n + 19. Let p(a) = 0. Calculate a.
-2, 1
Suppose 4*i = 25 - 9. Suppose -i*w - 3 = -3*c, w + c - 13 = -c. Factor 2*l**2 + 2*l**w + 5*l**3 - 4*l**3 + 4*l**4 - 3*l**4.
l**2*(l + 1)*(l + 2)
Let m(c) = -2*c**4 + 36*c**3 - 4*c**2. Let l(b) = -b**4 - b**2. Let p(u) = 6*l(u) + 2*m(u). Factor p(z).
-2*z**2*(z - 7)*(5*z - 1)
Let w(v) = 6*v**4 - 16*v**5 - 38*v**2 + 339*v - 2*v**5 + 42*v**3 - 339*v. Let z(c) = -c**5 + c**3 - 1. Let x(t) = -w(t) + 8*z(t). Find f, given that x(f) = 0.
-2, -2/5, 1
Suppose -1569 = 5*v - 1579. Let f = 11 - 11. Solve f*l + 0 - 2/5*l**v = 0 for l.
0
Suppose 4*v + 1 - 33 = 0. Suppose -22*s**5 + 26*s**5 - 4*s + 7*s**2 + v*s**4 - 15*s**2 = 0. What is s?
-1, 0, 1
Let j(w) be the second derivative of 3*w**5/20 + 3*w**4/4 - 2*w**3 - 18*w**2 + 36*w - 1. Let j(k) = 0. Calculate k.
-3, -2, 2
Suppose 0 = 16*l - 48*l. Let d(b) be the first derivative of 2*b**2 - b**4 - 4/3*b**3 + l*b - 4 + 4/5*b**5. Solve d(z) = 0.
-1, 0, 1
Let z be (-3*4/210)/(97/(-485)). Factor -6/7*o - 6/7*o**2 - 2/7*o**3 - z.
-2*(o + 1)**3/7
Let a(f) be the first derivative of 2*f**5/55 - 54*f**4/11 + 6044*f**3/33 - 5724*f**2/11 + 5618*f/11 - 102. Solve a(c) = 0 for c.
1, 53
Let w(c) = 3*c**2 - 15*c + 3. Let p be w(5). Let y(f) be the first derivative of 0*f + 5 + 0*f**2 + 1/20*f**5 + 0*f**4 - 1/12*f**p. Find m, given that y(m) = 0.
-1, 0, 1
Suppose 59*v - 3*v**2 - 13 - 27*v + 2*v**2 - 46*v = 0. Calculate v.
-13, -1
Let d(o) be the third derivative of o**6/40 - 23*o**5/20 + 143*o**4/8 - 121*o**3/2 - 128*o**2. Factor d(r).
3*(r - 11)**2*(r - 1)
Let v = 8330/13 + -41598/65. Determine w so that v + 4/5*w**2 + 8/5*w = 0.
-1
Let d(q) be the second derivative of -q**4/4 + 9*q**3 + 108*q + 2. Factor d(i).
-3*i*(i - 18)
Let j(v) be the second derivative of -3*v**5/80 + v**4/16 + 21*v**3/8 - 135*v**2/8 + 119*v. Find i, given that j(i) = 0.
-5, 3
Factor 127 - 2*w + w**2 - 37 + 45*w + 4*w.
(w + 2)*(w + 45)
Let j = 203/5260 + 3/263. Let b(u) be the first derivative of -1/25*u**5 + 1/10*u**2 - j*u**4 - 5 + 1/5*u**3 - 2/5*u. Factor b(i).
-(i - 1)**2*(i + 1)*(i + 2)/5
Let 4/5*x**2 + 84/5*x + 0 = 0. Calculate x.
-21, 0
Factor -23*u - 24*u**2 - 18 - 3*u**3 - 13*u - 22*u - 18 + u**3.
-2*(u + 1)*(u + 2)*(u + 9)
Let u(b) be the first derivative of 63*b**5/5 - 19*b**4/2 - 16*b**3/3 + 231. Factor u(p).
p**2*(7*p + 2)*(9*p - 8)
What is r in 3 + 3*r**3 - 2*r**3 - 5 - 7 - 3*r + 2*r**3 + 9*r**2 = 0?
-3, -1, 1
Let 1/4 - 10*g**3 - 5/2*g + 4*g**4 + 33/4*g**2 = 0. Calculate g.
1/4, 1
Let d be (-9)/(-4)*(-916)/(-687). Find i, given that 4/5 - 56/5*i**5 - 6/5*i + 72/5*i**4 - 8*i**2 + 26/5*i**d = 0.
-1/2, 2/7, 1
Let u = -899/12 + 75. Let c(j) be the first derivative of -u*j**6 + 0*j**3 - 1/8*j**4 + 0*j**2 + 1/5*j**5 + 0*j + 3. Determine w so that c(w) = 0.
0, 1
Let y(h) be the third derivative of 1/32*h**4 + 1/560*h**7 + 0*h**3 + 1/240*h**6 - 19*h**2 + 0 - 13/480*h**5 + 0*h. Factor y(o).
o*(o - 1)*(o + 3)*(3*o - 2)/8
Factor 17*r + 716*r + 42436 + 91*r + 4*r**2.
4*(r +