y(k) be the second derivative of 0 - 1/12*k**4 + 0*k**2 - 1/40*k**5 + 0*k**q - 4*k. Let y(t) = 0. Calculate t.
-2, 0
Determine z so that 0 + z + 0*z**2 - 1/4*z**3 = 0.
-2, 0, 2
Let y(d) be the third derivative of 5*d**6/108 - 16*d**5/27 + 61*d**4/108 - 2*d**3/9 - 12*d**2 - d. Factor y(n).
2*(n - 6)*(5*n - 1)**2/9
Factor 0 - 1/5*j**4 - 96/5*j**2 + 10*j**3 + 0*j.
-j**2*(j - 48)*(j - 2)/5
Suppose -38 = 108*n - 38. Determine u, given that 1/4*u**3 + 1/2*u**2 + 1/4*u + n = 0.
-1, 0
Let t(j) be the first derivative of 2/9*j**3 - 1/15*j**5 + 0*j**2 - 14 + 0*j + 1/12*j**4. Factor t(w).
-w**2*(w - 2)*(w + 1)/3
Let x(q) be the third derivative of q**8/168 + q**7/210 - q**5/20 + q**4/8 + 7*q**2. Let g(w) = -w**5 + w**2 - w. Let m(c) = -3*g(c) - x(c). Factor m(b).
b**4*(b - 1)
Let m(b) be the first derivative of b**5/20 + b**4/2 + 2*b**3 + 4*b**2 + b + 7. Let l(y) be the first derivative of m(y). Factor l(o).
(o + 2)**3
Let d(j) be the second derivative of -j**6/15 + 4*j**5/5 - 5*j**4/6 - 14*j**3/3 - j - 27. Factor d(u).
-2*u*(u - 7)*(u - 2)*(u + 1)
Suppose -2*k - 3*k = -8*k. Let b(v) be the second derivative of -1/20*v**4 - 3/50*v**5 + k*v**3 + 0 + 0*v**2 + v - 1/50*v**6. Determine n, given that b(n) = 0.
-1, 0
Let j(k) = 5*k**3 + 3*k**2 - 3*k - 1. Let q = 10 - 8. Let y(p) = -2*p**3 + 4*p - 4*p**3 - 6*p**q + 3*p**2 - p. Let r(w) = -3*j(w) - 2*y(w). Factor r(n).
-3*(n - 1)*(n + 1)**2
Let a(u) be the first derivative of -13/8*u**4 + 0*u + 2*u**3 - 1/12*u**6 - u**2 - 9 + 3/5*u**5. Find h, given that a(h) = 0.
0, 1, 2
Let l(h) = -2*h**2 - 9*h + 1. Let k be l(-5). Let f be 1*(k + 2 + 4). Suppose 0*s + 2*s + f*s**3 - 8 - 4*s**2 + 8 = 0. Calculate s.
0, 1
Let h(t) be the first derivative of 243/32*t**4 - 19 - 9/2*t - 39/2*t**2 - 207/8*t**3. Find f such that h(f) = 0.
-2/9, 3
Let q(v) be the second derivative of 0*v**5 - 2/3*v**3 - 4/15*v**6 + 9*v + 2/3*v**4 + 0*v**2 + 2/21*v**7 + 0. Determine m so that q(m) = 0.
-1, 0, 1
Suppose -4*o + 16 = 4*q, -4*o = -9*o + 3*q + 12. Let p(c) be the second derivative of -8/21*c**o + 3*c + 0 + 4/7*c**2 - 5/42*c**4. Factor p(s).
-2*(s + 2)*(5*s - 2)/7
Let k(p) be the second derivative of 0 + 1/20*p**5 + 1/3*p**4 + 0*p**2 - 23*p - 5/6*p**3. Find f, given that k(f) = 0.
-5, 0, 1
Let x(y) be the first derivative of -7*y**4/16 - 61*y**3/12 - 19*y**2/4 + 4*y + 947. Find f, given that x(f) = 0.
-8, -1, 2/7
Let z(o) = -56*o + 170. Let w be z(3). Let q(b) be the second derivative of -2/15*b**3 + 0*b**w + 1/50*b**5 + 7*b + 0 - 1/30*b**4. Determine h so that q(h) = 0.
-1, 0, 2
Let i(d) = d**2 - 8*d + 2. Let j(q) = 8*q. Let m be j(1). Let l be i(m). Factor -30*o**l - 5*o + o + 2*o**2 + 14*o**2.
-2*o*(7*o + 2)
Let u = -21 + 23. Factor -9*b**3 - 5*b + 6*b - 3*b**4 + 49*b**u + 8*b - 34*b**2 - 12.
-3*(b - 1)**2*(b + 1)*(b + 4)
Let v(f) = 9*f**2 + 32*f + 50. Let m(g) = -10*g**2 - 32*g - 48. Let r(h) = 5*m(h) + 6*v(h). Solve r(n) = 0 for n.
-5, -3
Let r(v) be the third derivative of 0*v**4 + 0 - 1/45*v**5 + 15*v**2 + 0*v**3 + 1/180*v**6 + 0*v. Suppose r(b) = 0. What is b?
0, 2
Let l(i) be the first derivative of 0*i + 1/2*i**2 + 1 - 1/8*i**4 - 1/6*i**3. Factor l(m).
-m*(m - 1)*(m + 2)/2
Let u(g) be the first derivative of g**6/150 - g**4/40 - g**3/30 - 14*g**2 + 32. Let x(d) be the second derivative of u(d). Factor x(b).
(b - 1)*(2*b + 1)**2/5
Let i = 1545 - 7721/5. Find j such that i*j**2 + 8/5 - 12/5*j = 0.
1, 2
Let x(c) be the third derivative of -7*c**5/240 + 13*c**4/48 - 5*c**3/8 + 72*c**2. Suppose x(v) = 0. What is v?
5/7, 3
Let y be (-1)/(78/282) - 1. Let g = y - -206/39. Let 0*i**2 + 0*i + g*i**3 + 0 = 0. What is i?
0
Let k(m) = -m**2 - 5*m + 6. Suppose 0 - 30 = 5*t. Let r be k(t). Factor 4/7*f**4 + 2/7*f**5 - 2/7*f - 4/7*f**2 + 0 + r*f**3.
2*f*(f - 1)*(f + 1)**3/7
Factor -515/4*f**2 - 3250*f - 5/4*f**3 + 3380.
-5*(f - 1)*(f + 52)**2/4
Let i(b) be the first derivative of -b**3 - 45*b**2 + 93*b - 217. Solve i(n) = 0 for n.
-31, 1
Let b(m) = -16*m**2 + 4. Let g(q) = 14*q**2 - q - 3. Let f(a) = 6*b(a) + 7*g(a). Factor f(o).
(o - 3)*(2*o - 1)
Let w = 7 + -4. What is t in 60*t + 196*t**4 - 12*t**2 - 280*t**w + 6 + 20*t + 10 = 0?
-2/7, 1
Let w(s) be the third derivative of -s**7/4284 + s**6/510 - s**5/255 - 13*s**4/8 + 3*s**2. Let a(k) be the second derivative of w(k). Let a(d) = 0. Calculate d.
2/5, 2
Let o(h) = 3*h**2 + 5*h + 2. Let m be o(-3). Factor -m*w**4 + 12*w**4 + 5*w**4 - 3*w**2.
3*w**2*(w - 1)*(w + 1)
Let k(i) = -5*i**3 - 54*i + 43*i - 69*i - 40*i**2 + 6. Let h(q) = -5*q**3 - 40*q**2 - 80*q + 5. Let c(a) = 6*h(a) - 5*k(a). Factor c(y).
-5*y*(y + 4)**2
Suppose -12 = -4*b + 3*g, -2*g - 2 = -3*b + 6. Suppose -3*x + 3*j - 3 = b, -x = j + 3 - 4. Factor 6/5*p**4 + 2/5*p**3 - 4/5*p**2 + 0 + x*p.
2*p**2*(p + 1)*(3*p - 2)/5
Solve 164*u**3 - 40*u - 20 - 335*u**3 - 25*u**2 + 166*u**3 = 0 for u.
-2, -1
Let l(m) be the second derivative of m**6/270 + m**5/90 - m**4/36 + 4*m - 38. Factor l(x).
x**2*(x - 1)*(x + 3)/9
Let g(y) be the third derivative of -y**6/120 + y**5/4 + 17*y**4/12 - 242*y**2. Suppose g(o) = 0. Calculate o.
-2, 0, 17
Suppose -2*i - 3*w - 10 = -i, -i + 12*w + 50 = 0. Factor 3/4*y**3 - 3/4*y**i + 0 + 0*y.
3*y**2*(y - 1)/4
Let x = 2/489 - -55907/489. Let x - 49*b + 7*b**2 - 1/3*b**3 = 0. Calculate b.
7
Let w(q) = 4*q**3 + 282*q**2 + 546*q + 262. Let m(r) = -3*r**3 - 280*r**2 - 546*r - 264. Let c(b) = 6*m(b) + 5*w(b). Determine l so that c(l) = 0.
-1, 137
Factor 13*g - 4*g**2 + 71*g - 4*g - 76.
-4*(g - 19)*(g - 1)
Let p(w) be the second derivative of -7*w**5/90 + 4*w**4/3 - 44*w**3/9 + 32*w**2/9 - 3*w + 9. Factor p(n).
-2*(n - 8)*(n - 2)*(7*n - 2)/9
Let w(l) be the first derivative of -2/3*l**3 - 24/5*l**5 + 3/2*l**6 + 13/4*l**4 + 0*l + 6 + 0*l**2. Factor w(a).
a**2*(a - 2)*(3*a - 1)**2
Solve 8 + 4*m**2 - 1 - 32*m + 41 = 0 for m.
2, 6
Let c be 49/(-2) - (-6)/(-12). Let j = 7 - c. Factor -25*l - 2*l - 37*l - 4*l**3 - j*l**2.
-4*l*(l + 4)**2
Let z(k) be the third derivative of -3*k**2 + 8/21*k**3 + 0 + 0*k + 1/35*k**5 - 5/21*k**4 + 3/140*k**6. Suppose z(l) = 0. What is l?
-2, 2/3
What is u in 12*u**2 - 4*u**2 - 3*u**2 + 44*u + 242 - 3*u**2 = 0?
-11
Let i(u) = -9*u**3 - 40*u**2 + 117*u - 58. Let j(y) = 11*y**3 + 36*y**2 - 117*y + 58. Let l(g) = -6*i(g) - 5*j(g). Let l(d) = 0. Calculate d.
1, 58
Suppose -11*h + 35 = -9. Let y(l) be the first derivative of 3/7*l**2 + 1/14*l**h + 2/7*l**3 - 10 + 2/7*l. Factor y(p).
2*(p + 1)**3/7
Let o(k) be the third derivative of -1/21*k**4 - 2/21*k**3 - 1/105*k**5 + 10*k**2 + 0*k + 0. Find s, given that o(s) = 0.
-1
Suppose -2*r - 10 = -2*l, r + 4 = -1. Let m(q) be the third derivative of 1/240*q**5 + l*q - 3*q**2 + 0*q**3 + 0 + 1/32*q**4. Solve m(o) = 0 for o.
-3, 0
Let -39*c**2 + 38*c**2 + 2*c**5 - 5*c**5 + 2*c**3 + 4*c**5 - 3*c**3 + c**4 = 0. Calculate c.
-1, 0, 1
Let m(f) be the second derivative of f**7/294 - f**5/35 - f**4/42 + f**3/14 + f**2/7 + 127*f - 2. Factor m(j).
(j - 2)*(j - 1)*(j + 1)**3/7
Let a(f) be the first derivative of -11*f**6/15 + 9*f**5/10 + f**4/3 + 33*f - 3. Let u(d) be the first derivative of a(d). Factor u(m).
-2*m**2*(m - 1)*(11*m + 2)
Let r(q) be the second derivative of -5*q**8/1344 - q**7/420 + q**6/96 + q**5/120 + 12*q**2 + 6*q. Let j(h) be the first derivative of r(h). Solve j(o) = 0.
-1, -2/5, 0, 1
Factor 16*i - 50/3 + 2/3*i**2.
2*(i - 1)*(i + 25)/3
Let x(l) be the second derivative of 5/24*l**4 + 1/10*l**5 + 0 + l + 1/60*l**6 + 1/6*l**3 + 0*l**2. Factor x(z).
z*(z + 1)**2*(z + 2)/2
Solve 2/7*s**3 - 6/7*s + 0 + 4/7*s**2 = 0 for s.
-3, 0, 1
Let a(q) be the second derivative of q**4/6 + 38*q**3/3 + 105*q**2 - 290*q. Factor a(i).
2*(i + 3)*(i + 35)
Let p(l) = 15*l + 21. Let g be p(3). Let y = g - 261/4. Find v, given that 1/2*v**2 - y*v**4 - 1/4*v**5 - 1/2*v**3 + 1/4 + 3/4*v = 0.
-1, 1
Suppose 3*c - 2*c - 20 = 4*n, 23 = c - 5*n. Determine h, given that 4 - c - 28*h + 29 + 4*h**2 + 23 = 0.
3, 4
Suppose -32/7 + 2/7*i**2 + 48/7*i - 3/7*i**3 = 0. What is i?
-4, 2/3, 4
Let h(r) = -15*r**2 - 40*r + 50. Let p be 4 - (-1 - -4 - 4). Let l(v) = -8*v**2 - 20*v + 25. Let k(m) = p*l(m) - 3*h(m). Factor k(n).
5*(n - 1)*(n + 5)
Let y(o) be the third derivative of o**6/40 + 3*o**5/20 - o**4/8 - 3*o**3/2 + 2*o**2 - 6*o. What is d in y(d) = 0?
-3, -1, 1
Factor 10 - 2 + 34*k**2 + 42*