n + 1/80*s**5 + 0*s**3 + 0. Determine l, given that k(l) = 0.
-1, 0
Let l(j) be the third derivative of 5*j**8/336 - j**7/7 - 4*j**6/3 + 16*j**5 + 160*j**4/3 - 1280*j**3 + 860*j**2. Solve l(b) = 0 for b.
-4, 4, 6
Let t(b) be the first derivative of b**4/10 + 58*b**3 - 1752*b**2/5 + 3512*b/5 + 7704. Find y, given that t(y) = 0.
-439, 2
Let -100*s + 1/2*s**2 + 5000 = 0. Calculate s.
100
Suppose -77*p - 92 = -323. Let w(y) be the first derivative of -3/8*y**2 - p - 1/4*y**3 + 0*y. Factor w(f).
-3*f*(f + 1)/4
Let q = 64/285 + 727/570. Factor -1/6*x**2 - 4/3 - q*x.
-(x + 1)*(x + 8)/6
Let r be (-14 - -25) + -32 - (2 - 4). Let f(i) = 7*i + 135. Let y be f(r). Factor 2/5 - 4/5*g**y - 3/5*g**3 + 1/5*g.
-(g + 1)**2*(3*g - 2)/5
Suppose -2560*d - 2895 - 1954*d**2 + 1949*d**2 - 4740 = 0. Calculate d.
-509, -3
Let g(x) = 80985*x - 809847. Let z be g(10). Suppose 6/5*t**2 - 54/5 - 21/5*t**z + 189/5*t = 0. Calculate t.
-3, 2/7, 3
Suppose 0 + 3/4*k**3 - 21/4*k**2 - 117/2*k = 0. Calculate k.
-6, 0, 13
Let a(x) be the second derivative of -x**4/3 - 16*x**3/3 + 130*x**2 - 876*x. Factor a(z).
-4*(z - 5)*(z + 13)
Suppose 130 = 5*v - 2*f, -v + 0*v - 3*f + 43 = 0. Suppose 0 = -26*u + v*u. Factor u + 1/3*c + 1/6*c**2.
c*(c + 2)/6
Let m(i) be the first derivative of -20*i**3/3 - 4708*i**2 - 5541316*i/5 + 2305. Suppose m(u) = 0. Calculate u.
-1177/5
Let t(w) be the second derivative of -1/3*w**6 + 57*w + 3*w**3 + 0 - 9/10*w**5 - 2*w**2 + 7/6*w**4. Determine j, given that t(j) = 0.
-2, -1, 1/5, 1
Let u(x) = -16*x + 66. Let g be u(4). Suppose -32*c**2 + 0*c + 0*c + 275*c**4 - 257*c**4 - 12*c**3 - g*c**5 = 0. What is c?
-1, 0, 2, 8
Let i(z) be the second derivative of z**7/210 + 22*z**6/45 + 35*z**5/2 + 147*z**4 - 5*z**3 - 9*z - 1. Let x(n) be the second derivative of i(n). Factor x(c).
4*(c + 2)*(c + 21)**2
Determine k, given that -24344*k + 2312 - 20*k**5 + 167893/2*k**2 - 379733/4*k**3 + 2738*k**4 = 0.
1/4, 2/5, 68
Let m = -153 - -69. Let x = m - -86. Factor -22*u**x + 86*u + 12 + 49*u - 73*u.
-2*(u - 3)*(11*u + 2)
Suppose -5*b = -o - 11, -21*o = -24*o + 4*b + 22. Suppose -o*f + 16 = -6*f. Suppose -15/2*m**f + 15 - 35/2*m = 0. Calculate m.
-3, 2/3
Let a(x) be the first derivative of x**4/40 - 23*x**3/15 + 529*x**2/20 - 563. Find i, given that a(i) = 0.
0, 23
Let g(j) be the third derivative of j**6/600 + j**5/75 - 37*j**4/120 - 4*j**3/3 - 4*j**2 + 270*j. Factor g(y).
(y - 5)*(y + 1)*(y + 8)/5
Let a(j) be the first derivative of j**3/2 - 4677*j**2 + 14582886*j + 1069. Factor a(n).
3*(n - 3118)**2/2
Let j(k) = -42*k**2 + 217*k - 196. Let h be j(4). Solve 6/11*y**2 - 2/11*y**4 - 36/11*y + 8/11*y**3 + h = 0.
-2, 0, 3
Let y(b) be the second derivative of -b**6/50 - 19*b**5/100 + 71*b**4/60 + 187*b**3/30 + 10*b**2 - 3254*b. Determine n, given that y(n) = 0.
-25/3, -1, 4
Let r(l) be the first derivative of 2/27*l**3 + 4/3*l + 101 - 7/9*l**2. What is n in r(n) = 0?
1, 6
Let b be ((-992)/96 + 11)*3. Factor 11/2*f**b - 5*f - 1/2.
(f - 1)*(11*f + 1)/2
Let s(q) be the first derivative of q**9/21168 + q**8/5880 - q**7/5880 - q**6/1260 + 14*q**3/3 - 90. Let d(i) be the third derivative of s(i). Factor d(p).
p**2*(p - 1)*(p + 1)*(p + 2)/7
Factor -2/5*s**3 + 414/5*s + 648/5 + 12*s**2.
-2*(s - 36)*(s + 3)**2/5
Let w(b) = 5*b**3 - 36*b**2 + 9*b - 11. Let a be w(7). Let o = 7 - 7. Factor 1/2*s**a - s**2 + o - 3/2*s.
s*(s - 3)*(s + 1)/2
Suppose 38*f - 5*f = -62*f - 3*f. What is i in f*i + 0*i**2 + 0 - 6/5*i**3 - 3/5*i**4 = 0?
-2, 0
Let i = -1019 - -522. Let r = -2481/5 - i. Factor 12/5*o + 9/5 + 1/5*o**4 - 2/5*o**2 - r*o**3.
(o - 3)**2*(o + 1)**2/5
Let b = 1220399/435855 + -1/87171. Factor b*l**3 + 22/5*l**2 + 2*l + 2/5*l**4 + 0.
2*l*(l + 1)**2*(l + 5)/5
Let u be 3*(-2)/2 - -7. Suppose -2 = -3*c + u. Factor 6*z - 3*z**3 - c*z**3 - 6*z.
-5*z**3
Let p(n) be the first derivative of -n**5/60 + n**4/12 - n**3/9 - 30*n - 37. Let d(v) be the first derivative of p(v). Factor d(j).
-j*(j - 2)*(j - 1)/3
Suppose 3*a + 3*t - 9 = 0, 2*t = 6*a - a - 1. Let q be (5/10 - a)*0. Factor 0 - 2/17*b**3 + 8/17*b + q*b**2.
-2*b*(b - 2)*(b + 2)/17
Let p(r) be the second derivative of -r**4/12 - 802*r**3/3 - 321602*r**2 - 4*r - 25. Factor p(n).
-(n + 802)**2
Let g(i) be the third derivative of i**6/600 - 23*i**5/200 - 5*i**4/4 + i**3/2 - 49*i**2. Let r(w) be the first derivative of g(w). Factor r(y).
3*(y - 25)*(y + 2)/5
Factor 7116*u**2 + 150*u**3 - 7019*u**2 - 58*u**4 + 16*u + 67*u**4.
u*(u + 16)*(3*u + 1)**2
Let m(a) = -54*a + 1137. Let b be m(21). Let u(x) be the first derivative of 0*x + 8/33*x**b + 5/22*x**4 + 0*x**2 + 2/55*x**5 + 16. Factor u(v).
2*v**2*(v + 1)*(v + 4)/11
Suppose -8*m = 70*m. Let r(z) be the second derivative of m + 1/135*z**6 + 0*z**4 + 1/180*z**5 - 1/126*z**7 - 19*z + 0*z**3 + 0*z**2. Factor r(w).
-w**3*(w - 1)*(3*w + 1)/9
Let p(b) be the second derivative of -b**4/12 + 461*b**3/6 - 230*b**2 + 5409*b. Solve p(o) = 0.
1, 460
Solve -3*m**4 + 14*m + 234*m**2 - 6*m + 0*m - 312 - 69*m**3 - 20*m = 0.
-26, -1, 2
Let o(t) = t**3 - t. Let r(a) = -6*a**3 - 10*a**2 - 20*a. Let i(g) = -2*g + 9. Let w be i(7). Let f(x) = w*o(x) - r(x). Suppose f(b) = 0. Calculate b.
-5, 0
Factor 32/5*o**2 + 48 + 2/5*o**3 + 158/5*o.
2*(o + 3)*(o + 5)*(o + 8)/5
Let v = 472 - 472. Let 4 + 2 + 2*l + v + 7*l - 33*l**3 + 42*l**3 - 24*l**2 = 0. What is l?
-1/3, 1, 2
Let v = -103 - 94. Let d = -984/5 - v. Find y such that 1/5*y**5 + d*y + 0*y**2 - 2/5*y**3 + 0*y**4 + 0 = 0.
-1, 0, 1
Let q(n) be the third derivative of -n**5/120 + 97*n**4/64 + 1933*n**2. Solve q(t) = 0 for t.
0, 291/4
Let h(w) = 2*w**2 + 240*w - 663. Let d(l) = 4*l**2 + 472*l - 1327. Let m(t) = -6*d(t) + 10*h(t). Suppose m(o) = 0. Calculate o.
-111, 3
Let a(m) = -26 - 10*m + 34 + 20 + m**2. Let b be a(5). Let f + 2*f**4 + 0 + 3*f - f**3 - 3*f**b - 2 = 0. Calculate f.
-1, 1
Let t(f) be the first derivative of -f**4/4 - 3659*f**3/3 - 3348899*f**2/2 - 3345241*f + 3906. Factor t(q).
-(q + 1)*(q + 1829)**2
Determine y so that 14/11*y**3 + 1624/11*y - 584/11*y**2 + 2/11*y**4 - 96 = 0.
-22, 1, 2, 12
Solve 50*n - 485/4*n**2 + 325/4*n**4 - 145/4*n**3 - 5 + 125/4*n**5 = 0.
-2, 1/5, 1
Let k = 187/1218 + -1/29. Let y(h) be the second derivative of k*h**4 - 5*h - h**3 - 9/7*h**2 + 5/14*h**5 + 0. Let y(i) = 0. Calculate i.
-3/5, 1
Suppose 979 + 50 = 7*k. Let r = -147 + k. Suppose -1/3*q**4 + 2/3*q + 0 + r*q**3 + q**2 = 0. Calculate q.
-1, 0, 2
Suppose 2*d - 10 = -3*y, -3*d - 5*y + 2 + 13 = 0. Let i be (16 - 11)*3/d. Let 2/11*p**i - 6/11*p**2 + 0 + 4/11*p = 0. Calculate p.
0, 1, 2
Let i(c) be the third derivative of -c**5/120 + 11*c**4/48 - 2*c**3 - 1714*c**2 + 1. Find z, given that i(z) = 0.
3, 8
Find n, given that 6*n**4 - 44/5*n**2 + 54 - 108/5*n**3 - 2/5*n**5 + 366/5*n = 0.
-1, 3, 5, 9
Let v(x) be the second derivative of -5/3*x**3 - 31*x + 0*x**2 + 1/2*x**5 - 5/4*x**4 + 0 + 1/2*x**6. Find d such that v(d) = 0.
-1, -2/3, 0, 1
Let w = 45 + -133. Let z = -74 - w. Determine c so that 41*c**2 + 200*c**3 - 15*c - 240*c**3 + z*c**2 = 0.
0, 3/8, 1
Let u(j) be the second derivative of -2/9*j**3 - 2*j**2 + 1/60*j**5 - 30*j + 1/12*j**4 + 1. Factor u(i).
(i - 2)*(i + 2)*(i + 3)/3
Let y be 15 - (-16)/12*-3. Let v = y - 9. Factor -7 - 12*q - 13*q**v - 23*q**2 + 3 + 3.
-(6*q + 1)**2
Let z(h) be the first derivative of -25*h**4/6 - 27640*h**3/9 - 11044*h**2/3 - 1472*h + 1573. Factor z(r).
-2*(r + 552)*(5*r + 2)**2/3
Suppose v + 0*v = y - 30, 0 = -3*v + 2*y - 92. Let n = v + 32. Factor -7 + 2*i**2 - 5 + n*i**2 + 10.
2*(i - 1)*(i + 1)
Let v(d) = -5*d**2 + 5*d + 58. Let u(o) = 7*o**2 - 17*o - 58. Let a(j) = 3*u(j) + 4*v(j). Find b, given that a(b) = 0.
2, 29
Factor -3*k**3 + 536*k - 1361*k - 543*k - 5616 - 111*k**2.
-3*(k + 12)**2*(k + 13)
Find j, given that 98*j + 15/4*j**3 + 5911/4*j**2 - 197 = 0.
-394, -2/5, 1/3
Let u(w) be the first derivative of -4*w**5/25 - 47*w**4/20 - 11*w**3/5 + 2791. Let u(q) = 0. What is q?
-11, -3/4, 0
Let g(h) = -13*h**3 - 43*h**2 + 270*h - 2. Let c(s) = 7*s**3 + 2*s**2 + 1. Let i(j) = -6*c(j) - 3*g(j). Factor i(r).
-3*r*(r - 30)*(r - 9)
Let d(q) be the third derivative of 2*q**7/105 + 4*q**6/15 + q**5 - 4*q**4/3 - 32*q**3/3 + 8*q**2 + 138*q. Factor d(z).
4*(z - 1)*(z + 1)*(z + 4)**2
Let v(o) = -2*o**3 - 5*o**2 + 2*o - 3. Let s be v(-3). Factor -1 + 35*x