- 68/3*z**3 + 22*z**4 - 22*z**2 + 1/3*z**5 + 0 = 0?
-67, -1, 0, 1
Factor 9/2*z**2 - 21*z - 30 + 21/4*z**3 + 3/4*z**4.
3*(z - 2)*(z + 2)**2*(z + 5)/4
Let k(z) be the second derivative of -1/5*z**5 + 1 - 16*z + 4*z**3 - 13/30*z**4 - 36/5*z**2 - 1/75*z**6. Solve k(f) = 0 for f.
-6, 1
Let z(l) = -l**3 - 6*l**2 - 7*l - 7. Let b be z(-5). Let j = 563 + -541. Let -23 - 3*w**4 + 18*w**3 - 3 - b*w**2 - 72*w - j = 0. What is w?
-1, 4
Let b(l) be the first derivative of -l**4 + 4*l**3 + 48*l**2 - 320*l + 7563. Factor b(o).
-4*(o - 4)**2*(o + 5)
Factor -41*h + 4*h**5 + 142*h**3 - 79*h**3 - 119*h - 208*h**2 + h**4 + 3*h**4 - 135*h**3.
4*h*(h - 5)*(h + 2)**3
Suppose 2*z + 0*z = -5*h - 16, -3*z + 26 = -5*h. Let w be (1 - 2)/((z - 6)/8). Suppose 6*n - 6*n**3 - 3 + 17*n**4 - 3*n**w + 7 + n**2 - 19*n**4 = 0. What is n?
-2, -1, 1
Factor -5271926*g**4 - 2269*g - 120 - 64465527*g**3 - 26807*g - 44807446*g**4 - 2377307*g**2 + 21233*g**2.
-3*(4*g + 5)*(161*g + 2)**3
Let p(f) be the first derivative of f**8/6300 - f**7/700 + f**6/225 - f**5/225 + 4*f**3/3 - 3*f**2 + 47. Let s(u) be the third derivative of p(u). Factor s(n).
2*n*(n - 2)**2*(2*n - 1)/15
Let h(p) = 15*p**2 + 37*p + 34. Let n be h(-1). Let l be -10 + (512/n)/4. Factor 20/3*r + 50/3 + l*r**2.
2*(r + 5)**2/3
Let p(q) be the third derivative of -5*q**5/12 + 4605*q**4/8 + 2765*q**3/3 - q**2 - 2*q + 4782. Let p(n) = 0. What is n?
-2/5, 553
Let m = 751 - 10513/14. Let p(f) be the second derivative of -3*f + 0*f**2 + 0 - 1/84*f**4 + m*f**3. Determine o so that p(o) = 0.
0, 3
Suppose 146*v**2 + 8478810*v**3 + 110*v**2 - 24*v - 8478852*v**3 = 0. What is v?
0, 2/21, 6
Find c such that 107*c**5 + 507*c**2 + 953*c**4 - 30*c - 427*c**5 - 2*c**2 + 45*c**4 + 682*c**4 - 2325*c**3 = 0.
0, 1/8, 2, 3
Let l(f) be the first derivative of -28/5*f**5 - 8/3*f**3 + 0*f - 4/3*f**2 - 58 + 11/9*f**6 + 47/6*f**4. Solve l(n) = 0 for n.
-2/11, 0, 1, 2
Let a(u) = u**2 - 41*u + 40. Suppose -c = -5*f + 205, -14 = 3*f + 5*c - 109. Let m be a(f). Let 2/3*r**3 + m*r - 2*r**2 + 8/3 = 0. What is r?
-1, 2
Suppose 3*r + 12 = -0*r. Let g be 1 - (-2)/(r/(-6)). Factor -2*s**5 + 4*s + 8*s**g - 2*s**5 - 8*s**2 + s - s.
-4*s*(s - 1)**3*(s + 1)
Let m(v) be the second derivative of 35*v**6/2 - 33*v**5/4 - 343*v**4/4 - 125*v**3/2 - 18*v**2 + 339*v + 3. What is x in m(x) = 0?
-1, -1/5, 12/7
Let q = -90/59 - -1897/354. Let z(s) be the second derivative of s + q*s**3 + 3*s**2 - 5/3*s**4 - 9/20*s**5 + 0. Find n such that z(n) = 0.
-3, -2/9, 1
Let o(u) = -u**3 - 3*u**2 + 5*u + 6. Let y be o(-4). Let x = -396 + 398. Factor 0*c**x + 2*c + 5*c**4 - 2*c**3 + 3*c**2 - c**y - 7*c**4.
-2*c*(c - 1)*(c + 1)**2
Let o(c) be the second derivative of 4*c**7/21 - 41*c**6/15 - 42*c**5/5 + 5*c - 480. Factor o(r).
2*r**3*(r - 12)*(4*r + 7)
Let m(k) be the first derivative of 10*k**3/3 + 152*k**2/5 + 24*k/5 - 1195. Determine g so that m(g) = 0.
-6, -2/25
Determine j, given that 499*j**2 - 1215 + 678412*j - 856*j**2 + 3*j**3 - 864*j**2 - 675979*j = 0.
1, 405
Let g(h) = -2*h**2 - 3*h + 69. Let f be g(5). Let t(p) be the second derivative of 0 - 1/16*p**f + 1/4*p**3 - 3/8*p**2 + 4*p. What is c in t(c) = 0?
1
Let x(f) be the third derivative of -f**5/90 + f**4/6 - 8*f**3/9 + 114*f**2. Solve x(s) = 0.
2, 4
Suppose 8/3*d - 2/15*d**2 - 128/15 = 0. What is d?
4, 16
Let z = -14024 + 14028. Let c(s) be the first derivative of -2/11*s**2 - 2/11*s + 2/55*s**5 + 1/11*s**z + 0*s**3 + 22. Factor c(p).
2*(p - 1)*(p + 1)**3/11
Let w(x) be the second derivative of -x**6/210 - 31*x**5/140 + 17*x**4/14 - 2*x**3/21 - 68*x**2/7 + 2267*x. Let w(t) = 0. What is t?
-34, -1, 2
Let r = 3016476/7 - 430925. Factor 1296/7*m - 396/7*m**2 - r*m**4 + 1728/7 + 5*m**3.
-(m - 12)**3*(m + 1)/7
Determine w, given that 77/12*w + 25/4*w**2 + 1/12*w**4 - 77/12*w**3 - 19/3 = 0.
-1, 1, 76
Factor 5*g - 37*g + 234*g**5 - 75*g**5 - 36*g**2 + 28*g**3 - 73*g**5 - 82*g**5 + 36*g**4.
4*g*(g - 1)*(g + 1)**2*(g + 8)
Let v(g) be the first derivative of -g**4/4 + 8*g**3/3 - 6*g**2 + 1490. Factor v(m).
-m*(m - 6)*(m - 2)
Let d be (-2 - -1)/(1/(-3)). Suppose 4*h - d*b + 3 = 0, 5*h = 4*b - 1 - 4. What is c in 15*c + 0*c**2 - 7*c + c**h - 7*c**2 + 16 = 0?
-1, 4
Solve 3/8*y**5 + 213/2*y + 0 - 105/2*y**4 + 105/2*y**2 - 855/8*y**3 = 0.
-2, -1, 0, 1, 142
Solve -28/15*z**3 - 104/15*z**2 - 2/15*z**4 - 44/5*z - 18/5 = 0.
-9, -3, -1
Let j(i) be the first derivative of i**6/36 - 9*i**5/20 + 5*i**4/6 + 33*i**3 + 111. Let f(s) be the third derivative of j(s). Factor f(w).
2*(w - 5)*(5*w - 2)
Let h = 775 - 1315. Let b be (-552)/h - (-4)/(-18). Determine v so that 2*v - 2/5*v**5 + 4/5 - 8/5*v**3 - 8/5*v**4 + b*v**2 = 0.
-2, -1, 1
Let m(u) be the third derivative of 7*u**7/11 + 33607*u**6/220 + 2859*u**5/55 - 1235*u**4/11 - 1096*u**3/11 + 1512*u**2. Find x, given that m(x) = 0.
-137, -2/7, 2/5
Let z(h) be the second derivative of -h**5/60 - h**4/12 + 23*h**3/9 + 8*h**2 + 68*h + 6. Factor z(m).
-(m - 6)*(m + 1)*(m + 8)/3
Suppose 0 = -4*f + 4*i - 32, -50 + 21 = 3*f - 4*i. Let l be (17/51)/(f + 26/6). Factor -l*k**2 - 1/2*k + 3/4.
-(k - 1)*(k + 3)/4
Let i be 114/(-752) + (-8)/320*-5. Let p = i + 213/940. Factor 3/5*g + p*g**2 - 4/5.
(g - 1)*(g + 4)/5
Let s(r) be the third derivative of 0*r**3 + 0 - 5/48*r**4 - 1/45*r**5 - 14*r**2 + r - 1/720*r**6. Let s(q) = 0. What is q?
-5, -3, 0
Let g(j) be the third derivative of -j**8/6720 - 3*j**7/280 - 13*j**5/10 + 105*j**2. Let u(z) be the third derivative of g(z). Find w such that u(w) = 0.
-18, 0
Let k = -208 - -205. Let j(u) = 7*u**3 + 35*u**2 - 177*u + 147. Let h(s) = -20*s**3 - 104*s**2 + 532*s - 440. Let o(m) = k*h(m) - 8*j(m). Factor o(d).
4*(d - 3)*(d - 1)*(d + 12)
Factor -8/7 + 86/7*z + 22/7*z**2.
2*(z + 4)*(11*z - 1)/7
Factor 360*x**2 - 1728*x**3 + 12*x**4 - 27*x**2 + 3063*x**3.
3*x**2*(x + 111)*(4*x + 1)
Let l be (636/(-371))/(136/70 - 2). Let h be (21/6 + -3)*l/25. Factor h*d**3 - 21/5*d**2 - 36/5 + 48/5*d.
3*(d - 3)*(d - 2)**2/5
Let k(q) be the first derivative of -107 + 2304*q + 4/3*q**3 - 96*q**2. Factor k(m).
4*(m - 24)**2
Suppose -z - 245*v + 250*v = 2, 0 = 2*z - 5*v - 1. Factor -6/5*r - 4/5 + 2/5*r**2 + 6/5*r**z + 2/5*r**4.
2*(r - 1)*(r + 1)**2*(r + 2)/5
Let i(v) be the first derivative of v**4/12 - 22*v**3/9 + 20*v**2 - 3720. Factor i(c).
c*(c - 12)*(c - 10)/3
Let v(w) be the second derivative of w**6/135 + w**5/15 + w**4/54 - 8*w**3/9 - 20*w**2/9 + 8*w - 142. Let v(c) = 0. What is c?
-5, -2, -1, 2
Let j(h) = 15 + 7*h**2 + h + 4*h - 22*h**2 + 10*h**3. Let a(w) = w**3 - w**2 + 1. Suppose -16*s = 280 - 296. Let b(k) = s*j(k) - 15*a(k). Factor b(n).
-5*n*(n - 1)*(n + 1)
Let x(l) be the second derivative of l**6/1260 + 17*l**5/210 + 289*l**4/84 + 79*l**3/6 + 24*l + 1. Let f(y) be the second derivative of x(y). Factor f(n).
2*(n + 17)**2/7
Let s(f) be the third derivative of f**10/252000 + 2*f**5/15 - 2*f**3/3 - 18*f**2 - 3. Let y(g) be the third derivative of s(g). Factor y(k).
3*k**4/5
Let m(l) be the second derivative of -l**4/114 + 422*l**3/57 - 421*l**2/19 - 12914*l. Find i, given that m(i) = 0.
1, 421
Let j(y) be the second derivative of y**6/30 - 2*y**4/3 - 20*y**2 + 78*y. Let m(c) be the first derivative of j(c). Factor m(i).
4*i*(i - 2)*(i + 2)
What is b in 0 - 12*b**3 - 4/3*b**5 + 28/3*b**2 - 8/3*b + 20/3*b**4 = 0?
0, 1, 2
Let w be 6/2 + -88*(-396)/(-1440) + 22. Factor 0*s - 14/5*s**3 - 26/5*s**4 + 0*s**2 + w*s**5 + 0.
2*s**3*(s - 7)*(2*s + 1)/5
What is r in 90*r + 4*r**3 + 643*r**2 + 83*r - 359*r**2 + 35*r - 352*r**2 = 0?
0, 4, 13
Let g be (-3)/(-18) + (-11749)/1302 + 16. Factor 2/7*q**2 - 20/7*q + g.
2*(q - 5)**2/7
Let y(c) be the third derivative of c**5/450 - 61*c**4/180 - 62*c**3/45 - 1384*c**2. Suppose y(p) = 0. Calculate p.
-1, 62
Let s(h) be the third derivative of -h**7/945 - h**6/180 + h**5/30 + h**4/4 + 564*h**2. Factor s(u).
-2*u*(u - 3)*(u + 3)**2/9
Let w be ((-3 - -34)*-2)/((-3)/6). Let s = -119 + w. Solve s*z**3 - 8*z - 8*z**2 - z**4 + 7*z + 5*z = 0 for z.
0, 1, 2
Let v = -1624751 - -1624753. Factor -1/2*m**v - 1/8*m**3 + 0 - 3/8*m.
-m*(m + 1)*(m + 3)/8
Let g be 2/10 + -94 + 307512/3240. Factor -2*x**2 + g*x + 0 - 4/9*x**3.
-2*x*(x + 5)*(2*x - 1)/9
Let z(h) be the third derivative of h**6/840 - 23*h**5/420 + 31*h**4/84 - 20*h**3/21 + 6*h**2 - 83. Solve z(r) = 0.
1,