nd derivative of 5*g**9/3024 - g**7/168 + 31*g**3/2 + 51*g. Let b(j) be the second derivative of a(j). Factor b(k).
5*k**3*(k - 1)*(k + 1)
Suppose 15*s + 61290 = 20*s. Factor -153*l**2 + 3*l**3 - s - 8751 + 185*l + 6270 + 2416*l.
3*(l - 17)**3
Let u = -27865 - -27885. Let l(c) be the first derivative of 1/6*c**3 - c - u + 1/4*c**2. Let l(r) = 0. What is r?
-2, 1
Factor 47/3 + 15/2*z - 1/6*z**2.
-(z - 47)*(z + 2)/6
Let t(l) be the first derivative of 1/14*l**4 + 15 + 0*l + 10/7*l**2 - 2/3*l**3. Factor t(c).
2*c*(c - 5)*(c - 2)/7
Suppose 9*j + 57 = 84. Suppose -3*b = -5*y + 1, -4*b + y = -6 - 4. Factor -3 + b*z + z**2 - 3*z**j + z**2 + z**2.
-3*(z - 1)**2*(z + 1)
Factor -6*v**2 + 14*v**2 + 9*v**2 - 1472 + 5884*v - v**2.
4*(v + 368)*(4*v - 1)
Let r be (-67 - -4) + -3 - (4 + -2). Let q = -63 - r. Determine k, given that 1/5 + 1/5*k + 1/5*k**4 - 2/5*k**3 + 1/5*k**q - 2/5*k**2 = 0.
-1, 1
Let w(b) be the third derivative of b**7/945 + 7*b**6/180 + 59*b**5/135 + 5*b**4/9 - 200*b**3/27 + 6*b**2. Find v such that w(v) = 0.
-10, -2, 1
Let b(c) be the third derivative of -2/315*c**7 + 0*c**4 - 1/1512*c**8 + 7/135*c**5 + 1/60*c**6 + 0 + 0*c**3 + 0*c - 129*c**2. Determine s so that b(s) = 0.
-7, -1, 0, 2
Let l(d) = -2*d**4 - 2*d**3 - d + 1. Let t(s) = -6*s**4 - 113*s**3 - 472*s**2 + 740*s - 153. Let v(g) = -3*l(g) + 3*t(g). Suppose v(a) = 0. What is a?
-22, -7, 1/4, 1
Find h, given that 48/7*h**2 - 8/7*h + 0 + 26/7*h**3 = 0.
-2, 0, 2/13
Let y = 93715 + -93711. Factor 3/5*m**y + 972/5 - 42/5*m**3 + 756/5*m + 39/5*m**2.
3*(m - 9)**2*(m + 2)**2/5
Factor 18*n + 18*n**2 + 3/2*n**3 - 120.
3*(n - 2)*(n + 4)*(n + 10)/2
Let o = -48418 + 48420. Determine m, given that -3*m - 9/4 - 3/4*m**o = 0.
-3, -1
Let l(o) be the second derivative of 21*o + 0 - 9*o**2 - 1/24*o**4 + o**3. What is r in l(r) = 0?
6
Let q be 64/(-120)*54/(-12). Suppose -12 + q*l**2 + 52/5*l - 4/5*l**3 = 0. What is l?
-3, 1, 5
Factor -1462*p + 258*p**3 + 1008 - 1065*p + 775*p + 3*p**4 + 483*p**2.
3*(p - 1)**2*(p + 4)*(p + 84)
Let m(u) be the first derivative of 0*u - 3/4*u**3 + 3/32*u**4 + 15/16*u**2 - 72. Determine q so that m(q) = 0.
0, 1, 5
Factor 2780 + 3688 - 276*n**2 - 4*n**4 - 236*n**2 + 280*n - 88*n**3.
-4*(n - 3)*(n + 7)**2*(n + 11)
Suppose f + 6 = 0, 141*s - 140*s - 69 = 11*f. Find n such that 1/3*n**2 - s + 0*n = 0.
-3, 3
Let k(i) be the first derivative of -9*i**5/5 - 687*i**4/4 + 154*i**3 + 4431. What is c in k(c) = 0?
-77, 0, 2/3
Let p(d) be the third derivative of d**8/504 - d**7/21 + 17*d**6/90 + 2*d**5/5 - 38*d**4/9 + 32*d**3/3 - 2*d**2 - 744. Find y, given that p(y) = 0.
-2, 1, 2, 12
Let a(c) be the first derivative of -c**4/10 + 146*c**3/15 + 1858. Let a(l) = 0. Calculate l.
0, 73
Let w(y) = 3*y + 52. Let g be w(-14). Let 14*o**2 + 36*o**2 + g + o**3 - 60 - 6*o**3 + 5*o = 0. Calculate o.
-1, 1, 10
Let o(t) be the second derivative of -2 - 7/30*t**4 + 13/15*t**3 - 36*t - 6/5*t**2. Factor o(l).
-2*(l - 1)*(7*l - 6)/5
Suppose 70*r - 166 = -26. Let y(b) be the first derivative of -7/2*b**r + 1/3*b**3 + 0*b + 3. Factor y(n).
n*(n - 7)
Let r(f) be the first derivative of 2*f**5/5 - 5*f**4/2 - 224*f**3/3 + 704*f**2 + 1022. Factor r(b).
2*b*(b - 8)**2*(b + 11)
Suppose 29*x + 32*x = 0. Let b(h) be the second derivative of 0*h**2 + x + 5/12*h**4 - 5/6*h**3 - 19*h. What is q in b(q) = 0?
0, 1
Determine o so that 138 + 2/5*o**2 - 148/5*o = 0.
5, 69
Suppose -y + 3 = 3*j, 5*j - 110 = -3*y - 109. Factor -2/3*g**j - 4704 + 112*g.
-2*(g - 84)**2/3
Find l such that 3/4*l**2 + 14*l - l**4 - 19*l**3 - 19/4 = 0.
-19, -1, 1/2
Suppose -v + 2*k - 6 - 4 = 0, -4*k = -4*v - 20. Suppose v = 5*f - 3*f + 4*z - 18, 3*f - 21 = -4*z. Factor f*n**3 - 179*n + n**3 + 175*n.
4*n*(n - 1)*(n + 1)
Solve 0 + 2/7*w**2 - 1082/7*w = 0 for w.
0, 541
Let u(m) = -3*m - 2 + 1 + m**2 + m. Let r be u(3). Determine h so that -7*h + 2*h**2 + 3*h + r*h**2 = 0.
0, 1
Suppose 0 = -2*p - x - 15, -p - 3*x = -0*x + 5. Let a be (p/(-5))/((-4)/(-10)) - -1. Factor -70*d**2 + a*d**3 - 38*d**2 + 960*d - 2494 - 66 - 12*d**2.
5*(d - 8)**3
Determine y so that -4/3*y**5 + 224/3*y**2 - 48*y**3 - 128/3*y + 40/3*y**4 + 0 = 0.
0, 2, 4
Let i = 9 - -1. Suppose c - 150 = -i. Solve c*o**2 + 6*o**4 - 7*o - 146*o**2 + 2*o**5 + 3*o + 2*o**3 = 0 for o.
-2, -1, 0, 1
Solve 5*m**2 + 144182 - 41937 + 558*m + 354*m + 518*m = 0 for m.
-143
Let i(r) = 5*r - 22. Let t be i(5). Factor -m**2 + 2*m**3 - 14*m + 75 - t*m**2 - 83.
2*(m - 4)*(m + 1)**2
Let m(g) be the second derivative of -g**4/18 - 560*g**3/9 - 78400*g**2/3 + 549*g. Factor m(d).
-2*(d + 280)**2/3
Let u(g) = 30*g**3 - 770*g**2 + 311*g - 21. Let n(f) = 10*f**3 - 255*f**2 + 106*f - 6. Let j(z) = 7*n(z) - 2*u(z). Factor j(q).
5*q*(q - 24)*(2*q - 1)
Let l = 563 - 556. Suppose -4*j + l = -8*h + 13*h, -j + 7 = -4*h. Determine o, given that 9/2*o**4 + 15/2*o**j - 3 - 3/2*o**2 - 15/2*o = 0.
-1, -2/3, 1
Let l(p) be the third derivative of 0*p - 65*p**2 - 1/12*p**4 + 0 + 0*p**3 + 17/240*p**6 + 1/140*p**7 - 1/168*p**8 - 1/10*p**5. Determine m so that l(m) = 0.
-2, -1/4, 0, 1, 2
Let f = -1528873 - -1528889. Let h be (4/1)/(1 - 0). Determine l, given that -h*l - 1/4*l**2 - f = 0.
-8
Let d be (-21)/6*-5*(-2)/(-28). Let a(k) be the second derivative of -1/2*k**3 + d*k**2 - 26*k + 1/24*k**4 + 0. Determine b so that a(b) = 0.
1, 5
Let v(h) be the first derivative of 7*h**6/120 + 19*h**5/30 + 19*h**4/8 + 3*h**3 - h**2 + 59*h + 139. Let n(o) be the second derivative of v(o). Factor n(p).
(p + 2)*(p + 3)*(7*p + 3)
Let w be 1/3 + ((-904)/6)/(-4). Let b be (-7)/(-35) + w/10. Factor -27*o**4 + 30*o**3 + 48*o**4 - 60*o**2 - 11*o + 51*o - 26*o**b.
-5*o*(o - 2)**3
Let v(y) be the first derivative of -1/28*y**4 + 39/14*y**2 - 2/21*y**3 - 105 - 72/7*y. Suppose v(n) = 0. Calculate n.
-8, 3
Suppose -w = 5*c - 803, -2*c - w + 20 = -297. Solve 1/2*b**2 + 18*b + c = 0.
-18
Let k(b) be the third derivative of b**6/420 - 2*b**5/35 + 3*b**4/28 + 22*b**3/21 + 1129*b**2. Solve k(w) = 0.
-1, 2, 11
Suppose 5*r**2 + r**2 - 39*r - 180 + 9*r**2 - 11*r**2 - 6*r**2 = 0. What is r?
-12, -15/2
Let p(c) = 14*c - 8. Let i be p(1). Suppose -4*d = 5*b - 27, -i = -43*b + 45*b - 4*d. Factor 0*f**2 + 4/9*f**b - 4/9*f - 2/9 + 2/9*f**4.
2*(f - 1)*(f + 1)**3/9
Let h(p) be the third derivative of p**8/3360 + p**7/560 - p**6/45 + p**5/20 - 18*p**3 - 12*p**2. Let l(b) be the first derivative of h(b). Factor l(x).
x*(x - 2)*(x - 1)*(x + 6)/2
Let j(x) be the first derivative of -5*x**6/6 + 59*x**5 + 650*x**4 + 5360*x**3/3 + 9907. Factor j(s).
-5*s**2*(s - 67)*(s + 4)**2
Let y(l) be the second derivative of 2*l**7/63 - 68*l**6/9 + 277*l**5/5 - 986*l**4/9 - 1336*l**3/9 + 880*l**2 - 24*l + 90. Suppose y(r) = 0. What is r?
-1, 2, 165
Factor 916/9*q**3 + 400*q + 0 - 104/9*q**4 + 4/9*q**5 - 1040/3*q**2.
4*q*(q - 10)**2*(q - 3)**2/9
Let m(p) be the third derivative of p**8/84 - 4*p**7/5 + 599*p**6/30 - 3418*p**5/15 + 1110*p**4 - 7600*p**3/3 - 2*p**2 + 6*p + 122. Find g, given that m(g) = 0.
1, 2, 10, 19
Let q(g) be the third derivative of g**5/60 - 131*g**4/6 + 523*g**3/6 - g**2 + 2415*g. Solve q(r) = 0 for r.
1, 523
Factor 16*p + 3*p**4 + 59*p**2 - 71*p**2 - 8*p**3 + 96*p - 128 + 2*p**4 - 4*p**4.
(p - 8)*(p - 2)**2*(p + 4)
Let t(z) be the third derivative of 0*z**3 - 1/240*z**5 - 4*z + 17*z**2 + 1/32*z**4 + 0. Determine h so that t(h) = 0.
0, 3
Let o(y) = -3*y - 3. Let f be o(-2). Let i(m) be the first derivative of 3*m**2 + 3*m**f - 1927 + 24*m + 1893 - 4*m**3. Find v such that i(v) = 0.
-2, 4
Let v(i) be the second derivative of 7*i**6/3240 - 13*i**5/1080 - i**4/108 + 21*i**3/2 + i - 1. Let y(c) be the second derivative of v(c). Factor y(h).
(h - 2)*(7*h + 1)/9
Factor -1/4*z**4 + 0*z + z**3 + 0 + 5/4*z**2.
-z**2*(z - 5)*(z + 1)/4
Let o(j) be the third derivative of j**5/80 - 23*j**4/32 - 105*j**3/2 - 3*j**2 - 350. Solve o(k) = 0.
-12, 35
Let p(j) be the second derivative of -j**7/10080 - j**6/2880 + j**5/80 + j**4/6 - 4*j**3/3 + 19*j. Let b(l) be the third derivative of p(l). Factor b(i).
-(i - 2)*(i + 3)/4
Let u(b) = -b**2 - 9*b - 6. Let y be u(-8). Factor -x**2 - x**4 + 2*x**2 - 4*x**3 + 2 + y*x**2 + 3*x**3 + 5*x.
-(x - 2)*(x + 1)**3
Let i = 18862433 - 9619844233/510. Let y = -1/170 - i. Factor 8/3 + y*x + 4*x**2.
4*(x + 1)*(3*x + 2)/3
Let t(x) = 3*x**3 + x**2 + 2*x.