derivative of -b**4/72 - 82*b**3/9 - 6724*b**2/3 - 516*b. Solve m(k) = 0.
-164
Let m(n) be the first derivative of -2*n**5/65 + 5*n**4/26 + 16*n**3/39 - 48*n**2/13 - 3378. Let m(w) = 0. Calculate w.
-3, 0, 4
Suppose -136*f + 2982 = 858*f. Factor 51/5*m + 66/5*m**2 - 3*m**f - 6.
-3*(m - 5)*(m + 1)*(5*m - 2)/5
Let h(n) be the first derivative of -5*n**3/3 + 755*n**2 + 307. Factor h(q).
-5*q*(q - 302)
Let j(b) = 14*b**4 - 78*b**3 - 151*b**2 + 27*b + 83. Let y(k) = -k**4 + 9*k**3 + 6*k**2 + 1. Let s(n) = 3*j(n) + 21*y(n). Let s(x) = 0. What is x?
-3, -6/7, 1, 5
Let q be (441/(-2205))/(-1 - -1 - (-3)/(-216)). Find z such that -3/5*z - q*z**3 + 0 - 27/5*z**2 - 48/5*z**4 = 0.
-1, -1/4, 0
Find l such that 134/11*l - 2/11*l**2 - 1632/11 = 0.
16, 51
Let g(k) = 422*k**2 - k + 15. Let d be g(0). Solve 357*a**2 + 1392/5*a + d*a**3 + 276/5 = 0 for a.
-23, -2/5
Let g(v) be the first derivative of 4*v**3/3 - 146*v**2 + 840*v - 2828. Find d, given that g(d) = 0.
3, 70
Let l = 129361/70 - 1848. Let z(v) be the third derivative of 1/490*v**7 + 0*v**3 - l*v**5 + 0*v + 1/280*v**6 + 0*v**4 - 10*v**2 + 0. Factor z(u).
3*u**2*(u - 1)*(u + 2)/7
Let u(t) be the first derivative of -1/4*t - 1/4*t**2 - 1/12*t**3 - 228. Determine c so that u(c) = 0.
-1
Let n = -260 + 262. Let d(a) = -19*a**2 + 31*a - 9. Let g(l) = 20*l**2 - 32*l + 10. Let x(z) = n*d(z) + 3*g(z). Factor x(w).
2*(w - 1)*(11*w - 6)
Let n(r) be the first derivative of -r**6/24 - r**5/2 + 95*r**4/48 - 25*r**3/12 + 68*r - 91. Let s(y) be the first derivative of n(y). Factor s(a).
-5*a*(a - 1)**2*(a + 10)/4
Suppose -38 = -17*n + 9*n - q, 56 = 4*q. Factor -480*o**2 + 128/9*o**n + 5400*o - 20250.
2*(4*o - 45)**3/9
Let s be -4*1 - -597*1/1. Suppose -6 = s*u - 596*u. Factor 4/9*y + 8/9 - 4/9*y**u.
-4*(y - 2)*(y + 1)/9
Let l(x) = -11*x**2 - 57*x - 13. Let a be -10 + 8/(-5 + 7). Let k(z) = 5*z**2 + 27*z + 6. Let q(b) = a*l(b) - 13*k(b). Factor q(t).
t*(t - 9)
Let s be (12 + 2772/(-234))*(5 - (-4)/(-6)). What is u in -10 + s*u**3 - 2/3*u**2 - 34/3*u = 0?
-3, -1, 5
Let u be (-8 + 5)*((-3542)/264 - 7). Factor 40 - 120*g + u*g**3 + 105/2*g**2.
5*(g + 2)*(7*g - 4)**2/4
Let w(y) be the first derivative of 22/13*y**3 + 1/26*y**4 + 363/13*y**2 + 2662/13*y - 41. Factor w(z).
2*(z + 11)**3/13
Let w(f) be the first derivative of f**4/10 + 242*f**3/45 - 68*f**2/3 + 344*f/15 + 813. Determine o so that w(o) = 0.
-43, 2/3, 2
Let o(i) be the second derivative of i**5/80 - 3*i**4/4 + 143*i**3/8 - 845*i**2/4 - 195*i. Factor o(r).
(r - 13)**2*(r - 10)/4
Let n(w) be the second derivative of w**4/6 - 170*w**3/3 + 7225*w**2 - 2*w - 35. Factor n(f).
2*(f - 85)**2
Let o(j) = -20*j**2 + 142*j - 913. Let l(m) = 34*m**2 - 236*m + 1524. Let x(v) = -7*l(v) - 12*o(v). Factor x(r).
2*(r - 18)*(r - 8)
Let m(s) be the first derivative of -s**7/420 + 7*s**6/90 - 49*s**5/60 - s**3/3 + 47*s + 158. Let r(i) be the third derivative of m(i). Let r(o) = 0. What is o?
0, 7
Let z(o) be the second derivative of -o**5/4 - 185*o**4/6 - 9125*o**3/6 - 37500*o**2 + 83*o - 1. Suppose z(d) = 0. Calculate d.
-25, -24
Let b be (-12*(-3 + 78/24))/(-1). Find q such that -20*q**4 + 69*q**5 + 22*q**b - 71*q**5 - 12*q**2 + 12*q**4 = 0.
-6, 0, 1
Suppose -j = 3*h - 280, -177 - 21 = -2*h + 5*j. Suppose -h*m + 8 = -90*m. Factor 0 + 0*i + 1/4*i**3 - 2*i**m.
i**2*(i - 8)/4
Let l(c) be the third derivative of -c**7/350 + 13*c**6/40 + 133*c**5/100 + 67*c**4/40 + 2*c**2 - 47*c. Factor l(y).
-3*y*(y - 67)*(y + 1)**2/5
Let h(u) be the second derivative of -u**6/60 - u**5/10 + 45*u**2/2 + 42*u. Let c(w) be the first derivative of h(w). Suppose c(b) = 0. What is b?
-3, 0
Let 75/2*v**2 - 1/2*v**3 - 1/2*v**4 - 175/2*v - 125 = 0. What is v?
-10, -1, 5
Let s(i) = -21*i - 15. Let b be s(-2). Let f = 3 + b. Find a, given that -6*a + f*a - 3*a**2 + a**2 = 0.
0, 12
Let b = 5381/51268 - -4/1831. Let f(w) be the first derivative of 13 + 1/7*w**3 - b*w**4 + 6/7*w**2 - 12/7*w. Factor f(p).
-3*(p - 2)*(p - 1)*(p + 2)/7
Let z(h) be the second derivative of h**4/6 + 3128*h**3/3 + 2446096*h**2 + 8582*h. Factor z(v).
2*(v + 1564)**2
Suppose 3228*x = 3231*x. Let h(f) be the second derivative of 1/20*f**5 + 0*f**3 + 0 + x*f**2 + 15*f + 1/12*f**4. Find l, given that h(l) = 0.
-1, 0
Let c(z) = 19*z**2 - 778*z + 1634. Let s(n) = -3*n**2 - 10. Let r(p) = 2*c(p) + 14*s(p). What is i in r(i) = 0?
-391, 2
Solve 75/2 + 395/4*q**3 - 175*q**2 - 25/2*q**4 - 155/4*q = 0.
-1/2, 2/5, 3, 5
Factor -2034*t**3 + 59 - 72*t**4 - 163 + 372*t - 1999*t**3 + 5*t**5 + 4329*t**3 - t**5 - 496*t**2.
4*(t - 13)*(t - 2)*(t - 1)**3
Let b(c) be the third derivative of -1/15*c**5 - 338/3*c**3 - 13/3*c**4 - 1 + 60*c**2 + 0*c. Suppose b(x) = 0. What is x?
-13
Suppose m + 6 = -3*w + 7*w, 0 = 3*w + 5*m - 16. Factor 1546*c - 21*c**3 - 30*c**w - 12 + 87*c**2 - 787*c - 783*c.
-3*(c - 2)*(c - 1)*(7*c + 2)
Let o(g) be the third derivative of -g**6/300 + 2*g**5/15 - 17*g**4/60 - 38*g**3/15 - 24*g**2 + 55. Suppose o(f) = 0. Calculate f.
-1, 2, 19
Let j be (-2*8407/252)/((-1)/2). Let n = -133 + j. Suppose -8/9*q + n*q**3 - 4/9*q**2 + 0 = 0. What is q?
-1, 0, 2
Suppose 2*b + 0*c + 6 = -5*c, c + 6 = 2*b. Factor -392*o**2 + 194*o**2 + 194*o**b - 16*o.
-4*o*(o + 4)
Let t(c) be the first derivative of 0*c**3 - 68 + 0*c**2 - 1/20*c**5 + 1/8*c**4 + 0*c. Suppose t(s) = 0. Calculate s.
0, 2
Determine u so that -918*u - 2567 - 102*u + 2555 + 3699*u**2 - 1057*u**3 + 378*u**3 - 914*u**3 = 0.
-2/177, 1/3, 2
Let a(d) = 2*d**3 + 4*d**2 - 21*d - 17. Let z be a(-4). Let s(k) be the first derivative of 10 + 10/3*k + 0*k**2 - 5/18*k**z. Factor s(y).
-5*(y - 2)*(y + 2)/6
Let j = -59661 - -178987/3. Find q such that 56/3 + 104/3*q + 18*q**2 - 2/3*q**4 + j*q**3 = 0.
-2, -1, 7
Suppose -3*x = -5 - 1. Suppose -312*g - 801 = -579*g. Factor 2/3*l - 2/3*l**g - 2 + x*l**2.
-2*(l - 3)*(l - 1)*(l + 1)/3
Let d(g) = g**3 + 2*g**2 - g + 4. Let x(s) = -5*s**3 + 1994*s**2 - 334654*s + 661336. Let y(w) = -2*d(w) - x(w). Factor y(b).
3*(b - 332)**2*(b - 2)
Let u(p) be the first derivative of -2*p**3/15 - 38*p**2/5 - 144*p - 1317. Factor u(c).
-2*(c + 18)*(c + 20)/5
Let d be 816/(-104) + (5 - (-5 - -2)). Let f = 16 - 16. Determine k so that -d*k**2 + 10/13*k + f = 0.
0, 5
Determine p, given that -5*p + 9 + 1/4*p**2 = 0.
2, 18
Let f = 75 - 77. Let a(v) = -v**5 + 2*v**4 - 2*v**3 - v + 2. Let g(u) = -3*u**5 + 4*u**4 - 5*u**3 + u**2 - 2*u + 5. Let s(h) = f*g(h) + 5*a(h). Factor s(n).
n*(n - 1)*(n + 1)**3
Suppose 10*b - 3*b = 1841. Suppose 73 = 4*r - b. Determine a so that 4*a**3 + 87*a**4 - 12 + 80*a**3 + 60*a**4 - r*a - 135*a**2 = 0.
-1, -2/7, 1
Let p(n) be the second derivative of -11/10*n**3 - 3/100*n**5 + 0 - 20*n - 3/2*n**2 - 7/20*n**4. Suppose p(k) = 0. Calculate k.
-5, -1
Let y(a) = 9*a - 11*a - 61 - 45*a + 382 - a**2. Let b be y(6). Let 0 - 20/3*z**4 - 16*z**b - 8/3*z - 12*z**2 = 0. Calculate z.
-1, -2/5, 0
Let m(x) be the second derivative of 0 + 13*x + 10*x**2 + 3/56*x**4 - 1/35*x**5 + 1/14*x**3. Let y(q) be the first derivative of m(q). Factor y(j).
-3*(j - 1)*(4*j + 1)/7
Let m(q) = -144 + 2*q - 155 + 2*q**2 + 331. Let j(f) = -f**2 + f. Let y(o) = -6*j(o) - m(o). Suppose y(s) = 0. Calculate s.
-2, 4
Let p(v) = 5*v**2 + 75*v + 144. Let l(d) = 4*d**2 + 74*d + 144. Let r(w) = 7*l(w) - 6*p(w). Let r(c) = 0. Calculate c.
-2, 36
Suppose -1022*q + 821*q - 1182*q = 0. Solve -27/5*z**5 - 10*z**3 + q + 0*z + 8/5*z**2 + 69/5*z**4 = 0.
0, 2/9, 1, 4/3
Suppose -4*z - 22*s + 33 = -25*s, s = 3*z - 21. Let i(k) be the first derivative of z + 2*k**2 + 1/3*k**4 + 0*k - 16/9*k**3. Suppose i(f) = 0. Calculate f.
0, 1, 3
Let l(b) be the second derivative of b**4/54 + 5*b**3/27 - 8*b**2/3 + 9074*b. Factor l(s).
2*(s - 3)*(s + 8)/9
Suppose 2*p - 20 = 3*h + h, 3*h = -12. Let y(o) = -18*o**2 - o + 8*o**p + 9*o**2. Let q(s) = -5*s**3 + 4*s**2 - s. Let f(c) = q(c) - y(c). Factor f(m).
-5*m**2*(m - 1)
Let i(z) = -6*z**3 - 19*z**2 + 2*z - 10. Let y(k) = -3*k**3 - 7*k**2 + 2*k - 4. Let f(b) = -2*i(b) + 5*y(b). Find j such that f(j) = 0.
-1, 0, 2
Suppose 0 = a + 5*q + 22, -4*a - 2 = 3*q + 1. Factor -r**a + r**3 + 3*r**3 + 5*r**3 - 2*r**3 - 8*r**2 - 32 - 56*r.
2*(r - 4)*(r + 2)*(3*r + 2)
Let u(z) be the second derivative of 5*z**4/24 + 4295*z**3/6 + 4290*z**2 - 263*z + 4. Solve u(w) = 0 for w.
-1716, -2
Let 