lculate b.
0, 1
Let j(a) be the third derivative of a**7/16380 - a**6/4680 + 7*a**4/24 + 33*a**2. Let k(l) be the second derivative of j(l). Factor k(d).
2*d*(d - 1)/13
Let k(p) be the second derivative of 7*p**5/50 - p**4/15 - 3*p**3/5 + 156*p. Factor k(d).
2*d*(d + 1)*(7*d - 9)/5
Let b(g) be the third derivative of g**6/320 - g**5/32 + 3*g**4/32 - 34*g**2. Factor b(o).
3*o*(o - 3)*(o - 2)/8
Let 2*a**2 + 0*a + 0 + 2/3*a**4 - 8/3*a**3 = 0. Calculate a.
0, 1, 3
Let p be 4/(-54) - (-13260)/36855. Factor 0 + 2/21*d**3 + p*d**2 + 0*d.
2*d**2*(d + 3)/21
Let w = -16 - -13. Let f be (w - (-12)/3) + 1. Find l such that -4 - 20*l - 4*l**f - 12*l**2 + 5*l**2 - 14*l**2 = 0.
-2/5
Let u(c) be the third derivative of c**5/240 - 3*c**4/16 + 17*c**3/24 - 107*c**2. Factor u(x).
(x - 17)*(x - 1)/4
Let x(n) be the first derivative of 20/3*n**3 - 8*n**2 + 4*n - 11 - 2*n**4. Let x(l) = 0. Calculate l.
1/2, 1
Suppose 3*x = 3*p + 9, -2*x - 4*p + 30 = 12. What is y in -12*y**2 - x*y**5 + 30*y**4 + 12*y**2 - 60*y**3 + 40*y**2 = 0?
0, 2
Let k(j) be the second derivative of j**4/108 - 4*j**3/27 + 7*j**2/18 - 6*j - 51. Let k(p) = 0. What is p?
1, 7
Let i = -633/112 + 40/7. Let c(r) be the first derivative of -i*r**4 - 6 + 1/8*r**2 + 1/4*r**3 - 1/2*r - 1/20*r**5. Factor c(n).
-(n - 1)**2*(n + 1)*(n + 2)/4
Suppose 3*r = i + 4, -2*i - 12 = -4*r - 8. Factor 16/7*g - 12/7 - 4/7*g**r.
-4*(g - 3)*(g - 1)/7
Let z be 26/10*((-5)/(-4) - 1). Let k(b) be the second derivative of 1/6*b**3 + 1/5*b**6 - 6*b - z*b**5 - 1/2*b**2 + 0 + 7/12*b**4. Factor k(p).
(p - 1)**2*(2*p - 1)*(3*p + 1)
Let l = -7721/2 + 3861. Solve 3/8 + l*v + 1/8*v**2 = 0 for v.
-3, -1
Let d(h) be the third derivative of 0*h + 9*h**2 + 4/35*h**7 - 3/80*h**6 - 2/5*h**5 + 0*h**3 - 1/4*h**4 + 0 + 1/32*h**8. Determine b, given that d(b) = 0.
-2, -1, -2/7, 0, 1
Let -2/17*c**2 - 114242/17 + 956/17*c = 0. What is c?
239
Factor 1302*j**4 + 24*j**3 - 48*j**2 - 2607*j**4 + 1301*j**4 + 10*j - 12 + 30*j.
-4*(j - 3)*(j - 1)**3
Factor 3/5*q**2 + 9 + 24/5*q.
3*(q + 3)*(q + 5)/5
Suppose 0 = 5*o - 33 - 32. Suppose 18 = 5*h - 7. Factor -o*s**5 - 3*s**4 + 5*s**h + 11*s**5.
3*s**4*(s - 1)
Let f(v) be the second derivative of 729*v**4 + 378*v**3 + 147*v**2/2 - 721*v. Factor f(w).
3*(54*w + 7)**2
Let s(o) = -31*o**4 + 38*o**3 - 15*o**2 - 8. Let r(d) = -11*d**4 + 13*d**3 - 5*d**2 - 3. Let x(g) = -8*r(g) + 3*s(g). Factor x(n).
-5*n**2*(n - 1)**2
Let h(u) be the third derivative of -71*u**5/210 - 73*u**4/84 - 2*u**3/21 + u**2 + 359. Factor h(p).
-2*(p + 1)*(71*p + 2)/7
Let s(o) = o**3 - 25*o**2 - 53*o + 33. Let k be s(27). Let w be 6/(-9)*k/(-14). What is m in 0 + 6/7*m**3 - 24/7*m**2 + w*m**4 + 6/7*m**5 - 8/7*m = 0?
-2, -1/3, 0, 1
Let l = -961 + 963. Let s(v) be the third derivative of 0 - 1/270*v**6 + 0*v - 11*v**l + 0*v**3 - 1/945*v**7 - 1/270*v**5 + 0*v**4. Find u, given that s(u) = 0.
-1, 0
Let u(s) be the first derivative of -s**7/735 - s**6/140 - s**5/70 - s**4/84 - 6*s**2 + 3. Let i(z) be the second derivative of u(z). Solve i(w) = 0 for w.
-1, 0
Let d = -16 + 19. Suppose d*n - 9 = -3*g, -2*n + 4*g = -g - 13. Factor 5*r**n - 3*r**4 + 6*r**3 + 3*r**2 + 2*r + 0*r**4 + 3*r**2.
2*r*(r + 1)**3
Let h(b) be the second derivative of -b**7/42 + 4*b**6/15 - b**5/4 - 25*b**4/6 + 9*b - 1. Let h(q) = 0. What is q?
-2, 0, 5
Let i(a) be the first derivative of a**5/630 + a**4/84 - 4*a**3/63 - 2*a**2 - 19. Let b(m) be the second derivative of i(m). Find t, given that b(t) = 0.
-4, 1
Find o, given that 0 + 4/7*o - 2/7*o**3 + 2/7*o**2 = 0.
-1, 0, 2
Let h = -4 - -7. Determine l, given that -l**h + 6*l**4 - 7*l**4 + 7*l**3 - 2*l**4 = 0.
0, 2
Find i such that -1/4*i**2 + 1/2*i - 1/2*i**3 + 1/4*i**4 + 0 = 0.
-1, 0, 1, 2
Factor -30/17*t**2 - 98/17 - 126/17*t - 2/17*t**3.
-2*(t + 1)*(t + 7)**2/17
Let i = 818 + -816. Factor -3/4 - 3/4*j**i + 3/2*j.
-3*(j - 1)**2/4
Suppose 0 = 3*t - 4*b + 1426, -t = -5*b - 126 + 605. Let s be 6/(-4)*(7 + t/54). Suppose -8/3*w - 2/3*w**2 - s = 0. Calculate w.
-2
Suppose 7 = 5*x - 18. Suppose -x = h - 5. Solve 0 + 3*t**4 + 0*t**2 - 3/2*t**3 + h*t = 0 for t.
0, 1/2
Let z(x) be the second derivative of x**6/50 + 3*x**5/50 - 3*x**4/20 - 33*x - 3. Find w, given that z(w) = 0.
-3, 0, 1
Determine n, given that -16/9*n**3 + 0*n + 4/9*n**4 + 0 + 4/3*n**2 = 0.
0, 1, 3
Factor 3*q**2 + 0*q**2 + 0*q - 58*q + q + 54.
3*(q - 18)*(q - 1)
Let j(c) be the second derivative of -c**5/90 + c**3/27 + c + 85. Factor j(p).
-2*p*(p - 1)*(p + 1)/9
What is g in -4/7*g**5 + 0 - 2/7*g**2 - 4/7*g**4 + 0*g + g**3 = 0?
-2, 0, 1/2
Suppose -2*m = -7*m + m. Suppose w = -5*z + 2, -2*z + m*w - 2*w = -4. Factor z + 0*a + 2/5*a**4 + 0*a**2 + 2/5*a**3.
2*a**3*(a + 1)/5
Let p be -297*(-3)/(-63) - -15. Suppose 2/7*c**2 + 0 - p*c = 0. What is c?
0, 3
Let y be (7668/(-308))/1 - -3 - 2. Let w = -166/7 - y. What is o in -2/11 - w*o**3 - 6/11*o - 6/11*o**2 = 0?
-1
Suppose -391*o - 3 = -392*o. Let d(v) be the second derivative of -125/12*v**4 + 0 - 13*v + 5/42*v**7 - 7/6*v**6 + 19/4*v**5 - 10*v**2 + 40/3*v**o. Factor d(w).
5*(w - 2)**2*(w - 1)**3
Let c be -5*(-63)/1400 + 1/(-10). Let p(t) be the third derivative of 0 + 0*t**4 - 1/80*t**5 + 0*t + 7*t**2 + c*t**3. Solve p(d) = 0.
-1, 1
Let t(o) = -o**3 - 4*o**2 - 2*o - 5. Let u be t(-4). Factor -2 - 14*m + 7*m + 7*m + 5*m + m**4 - u*m**2 - m**3.
(m - 1)**3*(m + 2)
Let r = -1001 - -70069/70. Let d = r - -61/70. Find z such that d*z - 4/7 - 2/7*z**2 = 0.
1, 2
Factor -36 - 5/2*k**2 + 1/4*k**3 - 87/4*k.
(k - 16)*(k + 3)**2/4
Let j(x) = x**3 + 5*x**2 - 10*x - 47. Let w be j(-5). Determine n, given that -4/15*n - 14/15*n**2 + 14/15*n**4 + 4/15*n**w + 0 = 0.
-1, -2/7, 0, 1
What is h in 0*h**2 + 5*h - 2*h**3 + 3*h - 2*h**4 - 4*h**2 + 3*h**4 = 0?
-2, 0, 2
Let h(c) be the second derivative of 7*c + 0 + 1/15*c**3 + 0*c**2 - 1/100*c**5 + 1/60*c**4. Factor h(q).
-q*(q - 2)*(q + 1)/5
Suppose 7 = -4*d - 5*h - 0, -3*d - 3*h = 3. Let a(u) be the first derivative of -5/3*u**3 - 1/5*u**5 + u**4 + 0*u + 3 + u**d. Solve a(j) = 0.
0, 1, 2
Let q be (2 - (-2 - -1)) + -6 - 0. Let c(u) = -u**2 - u - 1. Let g(f) = -f. Let m(a) = q*c(a) - 3*g(a). Suppose m(n) = 0. Calculate n.
-1
Let c(h) be the second derivative of h**5/20 - 7*h**4/6 - 55*h**3/6 + 484*h**2 - 361*h. What is z in c(z) = 0?
-8, 11
Let z = 14 - 1. Let s**2 - s**3 - 11*s**2 + 3*s**3 + 5 + z + 6*s = 0. What is s?
-1, 3
Let l be (3 - 3)/(1 - 3). Suppose 3*s + l*s - 3*v = -6, -4 = -3*s + v. Factor s*z**4 + 9*z**5 - 3*z**2 - 9*z**3 - 4*z**5 - 2*z**5 + 6*z.
3*z*(z - 1)**2*(z + 1)*(z + 2)
What is f in 10/3 + 4/3*f - 10/3*f**2 - 4/3*f**3 = 0?
-5/2, -1, 1
Let x = -18849 + 37699/2. Suppose 2/3*c + 1/3*c**2 - x + 1/6*c**4 - 2/3*c**3 = 0. What is c?
-1, 1, 3
Let j(p) = p**2 + 5*p + 4. Let n be j(-5). What is c in -4*c**5 + 0*c**4 - 7*c**3 + 32*c**n - 21*c**3 + 0*c**4 = 0?
0, 1, 7
Suppose 31/11*k**2 - 17/11*k**3 + 3/11*k**4 - 23/11*k + 6/11 = 0. What is k?
2/3, 1, 3
Let v be (-26)/(-91)*(-84)/(-48). Factor -1/2*x + 3/2*x**2 - 1 - v*x**4 + 1/2*x**3.
-(x - 2)*(x - 1)*(x + 1)**2/2
Let i be (-5)/(-20)*(1/4 + 0). Let d(v) be the first derivative of 1/6*v**3 - i*v**4 + 1/24*v**6 + 0*v**2 + 0*v - 1/10*v**5 - 5. Factor d(z).
z**2*(z - 2)*(z - 1)*(z + 1)/4
Let r be 9/(810/1030) - 11. Solve 0 - r*a**2 - 2/9*a**3 + 2/3*a = 0.
-3, 0, 1
Determine w so that -27/2*w**2 - 33/2 + 3/2*w**3 - 63/2*w = 0.
-1, 11
Let u(c) = -c**4 - 8*c**3 + 11*c**2 - 10*c + 4. Let k = -41 + 43. Let o(w) = w**4 + w**3 + w**2 - w. Let p(v) = k*o(v) + u(v). Find j such that p(j) = 0.
1, 2
Let n(v) be the first derivative of 1/4*v**4 + 0*v**2 + 0*v - 4 + 2/3*v**3. Factor n(d).
d**2*(d + 2)
Let n(i) be the first derivative of 4*i**3/3 + 4*i**2 - 12*i - 60. Factor n(f).
4*(f - 1)*(f + 3)
Factor 3*k**3 - 11*k**2 - 9*k - 18*k**2 + 23*k**2.
3*k*(k - 3)*(k + 1)
Factor -5*u**3 + 40*u**2 + 4*u**4 + 0*u**3 + 21*u**3 + 32*u - 2*u**4.
2*u*(u + 2)**2*(u + 4)
Let k(r) = 25*r**3 + 75*r**2 + 100*r - 140. Let t(q) = q**3 + q**2 - q + 2. Let s(n) = k(n) - 20*t(n). Suppose s(c) = 0. Calculate c.
-6, 1
Let a(h) be the second derivative of -h**6/280 - h**5/140 + 37*h**2/2 - 6*h. Let y(b) be the first derivative of a(b). Let y(d) = 0. Calculate d.
-1, 0
Let p = -307 - -310. Let k(u) be the first derivative of p*u**2 + 2 + 0*u**3 - 1/2*u**4 + 4*u. Factor k(l).