derivative of k**5/50 - k**4/15 - k**3/5 - k - 53. Determine y, given that b(y) = 0.
-1, 0, 3
Let b = 5 - 9. Let f be (-2 + 3)/(b/(-16)). Factor m - 86*m**2 + f*m**3 + 3*m + 78*m**2.
4*m*(m - 1)**2
Factor -6*o**2 - 33*o**3 + 37*o**3 + 66*o**2 - 64*o.
4*o*(o - 1)*(o + 16)
Let b = -51 + 56. Let i(g) = 3*g**3 - 11*g**2 + 8*g - 5. Let o(f) = -f**3 + 5*f**2 - 4*f + 3. Let m(y) = b*o(y) + 3*i(y). Suppose m(u) = 0. What is u?
0, 1
Let t(x) be the second derivative of x**6/40 + x**5/4 + x**4/2 - 7*x**2 - 12*x. Let l(f) be the first derivative of t(f). Factor l(q).
3*q*(q + 1)*(q + 4)
What is o in 1/6*o**3 + 0*o - 1/2*o**2 + 2/3 = 0?
-1, 2
Find y, given that -y**2 + 5335*y - y**2 + 2*y**4 - 2669*y - 2667*y + y**5 = 0.
-1, 0, 1
Let g(m) be the second derivative of -m**7/3780 - m**6/270 - m**5/45 + 3*m**4/4 + 2*m. Let j(t) be the third derivative of g(t). Factor j(i).
-2*(i + 2)**2/3
Determine g so that -6 - 7/2*g - 1/2*g**2 = 0.
-4, -3
Suppose -c + 12 + 7 = 5*g, 0 = -2*c + 8. Suppose -2 = 2*i - 6. Find n, given that -4*n**g + i*n + 3*n**3 + 2*n**5 + 2 + 2*n**4 - 4*n**2 - 3*n**3 = 0.
-1, 1
Let u(h) be the third derivative of 0 - 864*h**3 + 0*h - 35*h**2 + 1/40*h**6 - 9/5*h**5 + 54*h**4. Factor u(l).
3*(l - 12)**3
Solve -1/7*i**5 - 2/7*i**2 + 0*i**4 + 2/7 - 3/7*i + 4/7*i**3 = 0.
-2, -1, 1
Factor 3/4*o**2 + 3/2*o**3 + 0 - 5/2*o + 1/4*o**4.
o*(o - 1)*(o + 2)*(o + 5)/4
Let f(y) = -2*y**2 - 128*y - 1156. Let h(t) = -t**2 - 4*t. Let m(p) = -f(p) - 2*h(p). Factor m(o).
4*(o + 17)**2
Let x(v) be the second derivative of -v**4/12 - 4*v**3 - 72*v**2 - 80*v. Factor x(q).
-(q + 12)**2
Let i(u) be the second derivative of 2*u**7/21 + 6*u**6/5 + 24*u**5/5 + 16*u**4/3 + 62*u. Determine p, given that i(p) = 0.
-4, -1, 0
Let o(q) be the first derivative of -1/7*q - 1/14*q**2 - 9 + 1/21*q**3 + 1/28*q**4. Factor o(j).
(j - 1)*(j + 1)**2/7
Let l(f) be the second derivative of -20*f + 0 + 2/15*f**3 + 0*f**2 - 2/75*f**6 - 1/25*f**5 + 1/15*f**4. Factor l(y).
-4*y*(y - 1)*(y + 1)**2/5
Let b(i) = -i**3 + 4*i**2 + 6*i - 1. Let z be b(5). Let c(v) = v + 15. Let o be c(-10). Factor -7*h**4 + 5*h**5 + h**4 + 4*h**o + 3*h**z.
3*h**4*(3*h - 1)
Let v(w) be the first derivative of -2*w**3/39 + 3*w**2/13 + 36*w/13 + 5. Factor v(m).
-2*(m - 6)*(m + 3)/13
Determine p so that -308*p**2 - 308*p**2 - 4*p + 556*p**2 + 60 + 4*p**3 = 0.
-1, 1, 15
Determine k so that 40*k**2 + 68 - 24*k - 18 - 61*k - 5*k**3 = 0.
1, 2, 5
Let v = 12/1159 - -1123/3477. Find u such that 0*u + 1/6*u**4 - v*u**2 + 0 - 1/6*u**3 = 0.
-1, 0, 2
Let a(w) be the third derivative of -w**7/1680 + w**6/240 + w**5/240 - w**4/16 - 3*w**3/16 + 11*w**2 - 2. Factor a(o).
-(o - 3)**2*(o + 1)**2/8
Let g(x) be the second derivative of -x**8/9240 - x**7/4620 - 4*x**3/3 - 17*x. Let j(k) be the second derivative of g(k). Factor j(t).
-2*t**3*(t + 1)/11
Let v be 4/(-80)*-4 - (-2988)/(-15). Let u = v - -803/4. Suppose 0 - 5/4*y**5 + u*y**4 - 7/4*y**2 + 1/2*y + 3/4*y**3 = 0. What is y?
-1, 0, 2/5, 1
Let o(g) be the third derivative of -g**7/1260 - 7*g**6/720 - 2*g**5/45 - g**4/12 - 36*g**2. Let o(z) = 0. Calculate z.
-3, -2, 0
Determine m so that -32*m**3 - 7*m**5 - 88*m**4 + 55*m**4 - 18 + 40*m**2 + 2*m + 2 + 46*m = 0.
-2, 2/7, 1
What is v in -8/9*v**3 - 1/9*v**4 + 74/9*v + 55/9*v**2 - 40/3 = 0?
-12, -2, 1, 5
Let x(u) be the first derivative of u**7/210 - u**6/45 + u**5/30 - 4*u**3/3 + 16. Let j(i) be the third derivative of x(i). Factor j(v).
4*v*(v - 1)**2
Let u(l) be the third derivative of -l**8/8064 + l**7/504 - l**6/72 - l**5/12 - 3*l**2. Let q(m) be the third derivative of u(m). Let q(h) = 0. What is h?
2
Let z(m) = m - 9. Let a be z(3). Let j be 7/a + (-3)/(-2). Factor -j*c**2 + 1/3*c + 2/3.
-(c - 2)*(c + 1)/3
Suppose 0*u = 7*u - 12*u. Factor 0 + 8/13*y**2 + 10/13*y**3 + 2/13*y**4 + u*y.
2*y**2*(y + 1)*(y + 4)/13
Let b be (-9)/6*(-60)/9. Factor 158*p - 2*p**3 - b*p**2 - 143*p - 3*p**3 + 0*p**3.
-5*p*(p - 1)*(p + 3)
Let d(v) be the second derivative of v**5/20 + v**4/6 - v**3/3 - 5*v. Let q(f) = -2*f**3 - 3*f**2 + 3*f. Let t(c) = 4*d(c) + 3*q(c). Factor t(j).
-j*(j + 1)*(2*j - 1)
Factor -115/3*d**2 - 55/2*d - 25*d**3 - 5/6*d**5 - 15/2*d**4 - 15/2.
-5*(d + 1)**3*(d + 3)**2/6
Determine h so that -264 - 3*h**4 + 45*h**3 - 243*h**2 - 247 + 60 - 35 + 567*h = 0.
3, 6
Solve 23*f**2 - 4*f**4 + 36*f**3 - 432*f + 19*f**2 + 0*f**3 - 42*f**2 = 0 for f.
-3, 0, 6
Let w(r) = -r**2 - r. Let u(a) = 3*a**2 - 9*a + 10. Let g(y) = -3*u(y) - 6*w(y). Solve g(p) = 0.
1, 10
Factor 4*w**2 + w**3 + 9*w**4 - 9*w**4 - 7*w**3 + 2*w**5.
2*w**2*(w - 1)**2*(w + 2)
Let b = -1951 - -1951. Let p be 3/4*(-2)/(-3). Solve b - 2*o + 2*o**2 - p*o**3 = 0 for o.
0, 2
Let x(g) = g**3 - 6*g**2 + 3*g + 10. Let r be x(5). Solve -2/9*h**2 + r*h + 2/9 = 0.
-1, 1
What is u in 16*u**2 - 5*u**5 + 6*u**4 + 6*u**5 + 23*u**2 + 18*u + 3*u**4 + 29*u**3 = 0?
-3, -2, -1, 0
Let h(x) be the second derivative of 3*x**5/20 - 2*x**4 - 11*x. Factor h(d).
3*d**2*(d - 8)
Let u(c) = c**3 + 8*c**2 + 9*c - 4. Let w be u(-2). Let l(n) be the first derivative of n**2 + 1/12*n**3 + 4*n + w. Suppose l(o) = 0. Calculate o.
-4
Let k = -5 - -11. Let f(n) be the first derivative of 0*n + 1/3*n**k + 13/3*n**4 + 4 + 32/9*n**3 + 32/15*n**5 + n**2. Suppose f(v) = 0. Calculate v.
-3, -1, -1/3, 0
Let s(p) be the second derivative of p**8/1680 - p**7/420 - p**6/120 + p**5/30 - p**4/4 + 9*p. Let x(o) be the third derivative of s(o). Factor x(a).
2*(a - 2)*(a + 1)*(2*a - 1)
Solve 720*c - 40*c**3 + 5*c**5 - 493*c**2 - 648*c**2 - 40*c**4 + 1621*c**2 = 0.
-2, 0, 6
Let o be (13/(13/4))/(-1 + 4). Let x(z) be the first derivative of 11/2*z**2 - 3*z + 10 + o*z**3. Determine f so that x(f) = 0.
-3, 1/4
Let i = -91 + 92. Suppose 3*a + 10 = -4*r, a + r + i = -1. Factor -1/6*g**a - 1/3*g + 1/2.
-(g - 1)*(g + 3)/6
Let d = 9545 - 95321/10. Let s = d - 57/5. Factor 0 + 3/4*m**5 + 3/4*m**3 + s*m**4 + 0*m + 0*m**2.
3*m**3*(m + 1)**2/4
Suppose -16/9*w**2 + 68/3*w - 16 = 0. What is w?
3/4, 12
Let l = -1511 + 1514. Let f(g) be the third derivative of -8*g**l + g**4 - 1/20*g**5 - 12*g**2 + 0 + 0*g. Let f(o) = 0. Calculate o.
4
Let a be (-2)/3*(1 - 188/8). Let f be 6/(-8)*(-56)/a. Factor -f*i**2 + 4/5 + 2*i.
-2*(i - 1)*(7*i + 2)/5
Let b(n) be the third derivative of 0*n + 1/570*n**5 - 1/76*n**4 + 2/57*n**3 + 0 - 5*n**2. Determine c so that b(c) = 0.
1, 2
Let -9*a**2 + 0 - 10*a**4 + 1/2*a**5 + 0*a + 37/2*a**3 = 0. What is a?
0, 1, 18
Let o(b) be the first derivative of b**6/6 - 35*b**4/12 - 5*b**3 + 8*b + 7. Let v(m) be the first derivative of o(m). Solve v(y) = 0.
-2, -1, 0, 3
Suppose -531 = -264*m + 261. Let -21/4*s**2 - 6*s + 49/4*s**m - 1 = 0. Calculate s.
-2/7, 1
Suppose 114/5*l**3 + 486/5*l + 0 + 6/5*l**4 + 594/5*l**2 = 0. What is l?
-9, -1, 0
Let m(k) = k + 3*k**3 + 0*k**2 + k**2 - 2*k**3 - 1. Let r(u) = 11*u**2 - 1 + 2*u**3 - 1 + 0*u**2 + 2*u - 3. Let q(c) = 5*m(c) - r(c). Solve q(w) = 0.
0, 1
Suppose -b + 8 = 2*d, 4*d + 7 = b + 29. Let z be (-6 - -4)/2*b. Determine i so that 6 + 3/2*i**z - 6*i = 0.
2
Find g such that -22*g**3 + 3*g**5 + 15*g**4 - 47*g**3 + 6*g**5 + 18*g + 18*g**3 - 39*g**2 + 0*g**5 = 0.
-3, -1, 0, 1/3, 2
Let g(t) be the first derivative of -9/2*t**2 + 3*t**3 - 8 - 3/4*t**4 + 3*t. Find p such that g(p) = 0.
1
Let f(s) = 20*s**3 - 1478*s**2 + 90776*s - 1860867. Let v(z) = -186*z**3 + 13303*z**2 - 816985*z + 16747803. Let j(r) = 57*f(r) + 6*v(r). Factor j(b).
3*(2*b - 123)**3
Let x = -8/623 - -52/89. Let 2/7*c**4 + 0 - 4/7*c**3 + x*c - 2/7*c**2 = 0. Calculate c.
-1, 0, 1, 2
Let u = 997 - 995. Solve 0*m + 1/2*m**u - 1/2 = 0 for m.
-1, 1
Let h(w) be the third derivative of -w**6/280 - w**5/7 - 37*w**4/56 - 9*w**3/7 + 197*w**2. Factor h(u).
-3*(u + 1)**2*(u + 18)/7
Let w(d) be the third derivative of -d**7/504 + d**6/24 - 3*d**5/8 + 3*d**4/8 + 18*d**2. Let u(c) be the second derivative of w(c). Find s, given that u(s) = 0.
3
Suppose -y - 9 = -4*y. Suppose -l + 2*l - y = 0. Factor 5*v**2 - 8*v**3 + 2 + 6*v**l - 7*v + v + v**2.
-2*(v - 1)**3
Let m = 1605 + -6417/4. Factor 1/4*u**4 + m*u + 1/4*u**2 - 3/4*u**3 - 1/2.
(u - 2)*(u - 1)**2*(u + 1)/4
Let n be (2 - 2) + 8/14. Let i be 2/(-14)*6*(-200)/600. Let i*a - 2/7*a**2 + n = 0. Calculate a.
-1, 2
Let v(c) be the third derivative of -c**7/105 + 13*c**6/30 - 71*c**5/10 +