- 7 = 49. Let g be 76/m - (-4)/7. Factor 5*i**3 + 51*i**2 - 36*i**2 + g*i + 4*i**3.
3*i*(i + 1)*(3*i + 2)
Let m(z) be the second derivative of -37*z + 5*z**2 + 0 - 5/6*z**4 - 25/6*z**3 + 5/4*z**5. Factor m(o).
5*(o - 1)*(o + 1)*(5*o - 2)
Find d such that 44 - 989*d**3 + 11405*d**2 - 403*d + 205*d**3 - 2893*d**2 + 1369*d + 262*d = 0.
-1/14, 11
Let g(n) be the second derivative of -n**7/6300 + 13*n**6/900 - 169*n**5/300 + n**4/4 - 12*n**2 - 23*n. Let l(y) be the third derivative of g(y). Factor l(m).
-2*(m - 13)**2/5
Suppose 0 = 11*d + 2858 - 8347. Let t = d + -6485/13. Let 2/13*l**4 + 0 + 2/13*l - t*l**2 - 2/13*l**3 = 0. What is l?
-1, 0, 1
Let l(d) be the first derivative of d**6/15 + d**5/5 + 5*d**4/24 + d**3/12 - 19*d + 18. Let j(a) be the first derivative of l(a). Factor j(f).
f*(f + 1)*(2*f + 1)**2/2
Let y(n) = 6*n**5 + 45*n**4 + 24*n**3 + 18*n**2 - 12*n. Let m(o) = -o**5 - 5*o**4 - o**3 - 2*o**2. Let q(j) = -9*m(j) - y(j). Solve q(i) = 0.
-2, -1, 0, 1, 2
Solve 0 + 896/11*w**4 + 122/11*w**3 + 98/11*w**5 - 36/11*w**2 + 0*w = 0.
-9, -2/7, 0, 1/7
Let f(u) = 17 + 13*u**2 + 487*u**3 - 486*u**3 + u**2 - 14*u. Let i be f(-15). What is m in -2 + 2/3*m**i + 4/3*m = 0?
-3, 1
Let f = -4610 - -4613. Let z = 20 + -10. Determine v so that -20*v**2 - 3*v**f - 7*v**3 - z*v**3 + 16*v**3 = 0.
-5, 0
Suppose 9*w = 367 + 425. Determine y, given that 313*y**2 - 484 + w*y + 144*y**2 + 23*y**2 + 4*y**4 - 88*y**3 = 0.
-1, 1, 11
Let f(i) = 47*i**2 + 6146*i - 1046497. Let v(z) = 18*z**2 + 2049*z - 348831. Let x(d) = -3*f(d) + 8*v(d). Factor x(l).
3*(l - 341)**2
Let t = -259 - -419. Determine u so that 1 + 40*u**4 - 195*u**2 + 25*u**4 - 49*u**3 - 21 + 59*u**3 - t*u = 0.
-1, -2/13, 2
Let l(u) be the second derivative of -u**5/70 - 17*u**4/42 + 20*u**3/21 + 36*u**2/7 + 7219*u. Let l(n) = 0. What is n?
-18, -1, 2
Let s(x) be the second derivative of -1/130*x**5 - 27/13*x**3 - 3/13*x**4 + 0 + 0*x**2 - 142*x. Factor s(m).
-2*m*(m + 9)**2/13
Let l be (-120)/(-320) + (-1)/((-24)/1600455). Let -5*p**3 - 5*p - 66686 + l + 10*p**2 = 0. Calculate p.
0, 1
Let u(v) be the first derivative of v**6/9 - 36*v**5 + 4004*v**4 - 1358084*v**3/9 - 753571*v**2 + 2066. Solve u(s) = 0 for s.
-3, 0, 91
Let b = 5417 + -5414. Let f(n) be the third derivative of -1/525*n**7 + 11*n**2 + 0 + 1/50*n**5 + 0*n**b + 0*n + 0*n**4 - 1/150*n**6. What is m in f(m) = 0?
-3, 0, 1
Let f(u) be the second derivative of -u**5/4 + 5*u**4 + 45*u**3/2 + 35*u**2 - 33*u - 38. Factor f(w).
-5*(w - 14)*(w + 1)**2
Let l be (5*10/75)/((-1)/(-3)). Suppose 6 = 4*a - l. Find d such that -6*d**3 + 5*d**3 - d**3 + a*d**4 = 0.
0, 1
Let w(f) be the second derivative of -f**6/240 + f**5/15 + 3*f**4/16 + 45*f**2 - f + 62. Let g(z) be the first derivative of w(z). Factor g(q).
-q*(q - 9)*(q + 1)/2
Let p(v) be the third derivative of v**7/840 - v**5/40 - v**4/12 + 2*v**3/3 + v**2 + 29. Let q(d) be the second derivative of p(d). Factor q(j).
3*(j - 1)*(j + 1)
Let j(r) be the second derivative of -r**5/40 + 68*r**4/3 - 1085*r**3/12 + 271*r**2/2 + 3903*r. Suppose j(q) = 0. Calculate q.
1, 542
Suppose 0 + 61/5*b**4 + 64/5*b**2 + 12/5*b**5 + 12/5*b + 103/5*b**3 = 0. Calculate b.
-2, -3/4, -1/3, 0
Let s(n) be the third derivative of n**7/90 + 17*n**6/360 - n**5/45 - 5*n**4/18 - 121*n**2 + 8*n. Factor s(i).
i*(i - 1)*(i + 2)*(7*i + 10)/3
Let o(m) be the third derivative of -8/3*m**3 + 1/36*m**6 + 1/9*m**4 + 1/630*m**7 + 0 + 29/180*m**5 - 96*m**2 + 0*m. What is h in o(h) = 0?
-4, -3, 1
Let a be 1024/1664*(-4 + 2 - 1 - (-39)/12). Solve -10/13*h**2 - a*h**3 + 10/13 + 2/13*h = 0 for h.
-5, -1, 1
Let r(u) be the first derivative of -7 - 18/7*u - 2*u**3 + 51/14*u**2 + 0*u**4 - 1/14*u**6 + 12/35*u**5. What is b in r(b) = 0?
-2, 1, 3
Let q(a) be the first derivative of 0*a - 45/16*a**4 - 13 - 1/8*a**6 - 9/4*a**3 - 21/20*a**5 + 0*a**2. Factor q(x).
-3*x**2*(x + 1)*(x + 3)**2/4
Let m be 2344/10 - (20 - 15). Let c = -229 + m. Let -c - 2/5*k**2 - 4/5*k = 0. What is k?
-1
Let x be ((-1)/(-6))/(9/12). Suppose -850 = -182*b - 304. Find s such that 8/9*s**2 - 2/9*s**b + x*s - 8/9 = 0.
-1, 1, 4
Suppose n = -3*i + 533, -5*i - 5*n + 680 + 205 = 0. Solve 90*o - 92*o + 175 + 5*o**2 - i*o = 0 for o.
1, 35
Let n(a) be the third derivative of 1/168*a**8 + 7/60*a**6 + 0 + 0*a**4 - 1/10*a**5 - 1/21*a**7 - 82*a**2 + 0*a + 0*a**3. Suppose n(w) = 0. Calculate w.
0, 1, 3
Let j be 9*6/63 + 1040/(-1638). Let b(o) be the third derivative of 7/72*o**4 + 0*o - j*o**3 - 1/360*o**6 + 0 - 22*o**2 - 1/90*o**5. Solve b(c) = 0.
-4, 1
Let k(z) be the second derivative of -z**5/4 + 55*z**4/12 + 200*z**3 + 2070*z**2 - 253*z + 2. Factor k(g).
-5*(g - 23)*(g + 6)**2
Let r(j) be the first derivative of -j**4/12 - 184*j**3/3 - 12696*j**2 - 707. Solve r(p) = 0.
-276, 0
Let u(n) be the first derivative of 16*n**3/9 + 13*n**2/2 + 14*n/3 + 3399. Factor u(g).
(g + 2)*(16*g + 7)/3
Let j(r) be the first derivative of -2/11*r**3 + 160/11*r + 1/22*r**4 - 3 - 24/11*r**2. Suppose j(w) = 0. What is w?
-5, 4
Let x be 10/4*36/30. Factor -36*o + 6*o**2 + 4 + 11*o**x - 3*o**4 - 1 + o**3 - 30.
-3*(o - 3)**2*(o + 1)**2
Factor 0 + 137/2*x - 1/2*x**2.
-x*(x - 137)/2
Suppose -7*z + 95 = 88. Let l(u) = 2*u**3 + 11*u**2 + 4*u + 10. Let y(a) = -a**2 - 2. Let p(g) = z*l(g) + 5*y(g). Find d such that p(d) = 0.
-2, -1, 0
Let z(l) = 162*l**4 + 144*l**3 + 40*l**2 + 8*l - 6. Let u(t) = -811*t**4 - 720*t**3 - 199*t**2 - 42*t + 33. Let y(f) = 4*u(f) + 22*z(f). What is x in y(x) = 0?
-2/5, -1/4, 0
Let v(s) be the second derivative of 7*s**5/30 - 17*s**4/3 + 37*s**3 + 54*s**2 - 36*s - 66. Suppose v(w) = 0. What is w?
-3/7, 6, 9
Let g(w) = -6*w**3 + 186*w**2 - 1543*w + 1350. Let x(p) = -3*p**3 + 93*p**2 - 771*p + 675. Suppose 3*n + 89 - 50 = 0. Let a(u) = n*x(u) + 6*g(u). Factor a(k).
3*(k - 15)**2*(k - 1)
Let b(h) be the first derivative of 16/7*h**2 - 34/21*h**3 + 2/7*h**4 + 60 - 6/7*h. Factor b(i).
2*(i - 3)*(i - 1)*(4*i - 1)/7
Let b(d) be the first derivative of -d**6/2880 - 13*d**5/480 - 169*d**4/192 - 6*d**3 + 2*d - 3. Let v(z) be the third derivative of b(z). Factor v(i).
-(i + 13)**2/8
Solve -1175*s**2 - 1144*s**2 + 560 - 4*s**4 + 72*s**3 - 432*s + 2123*s**2 = 0.
-2, 1, 5, 14
Let o(d) = 22*d**4 - 83*d**3 + 144*d**2 - 104*d - 21. Let w(m) = -95*m**4 + 360*m**3 - 625*m**2 + 450*m + 90. Let b(x) = -30*o(x) - 7*w(x). Factor b(h).
5*h*(h - 3)*(h - 2)*(h - 1)
Let g(y) be the third derivative of y**6/600 + 21*y**5/20 + 621*y**4/40 + 927*y**3/10 - y**2 + 4398*y. Factor g(z).
(z + 3)**2*(z + 309)/5
Let g(h) be the second derivative of -5*h**7/42 + 8*h**6/3 + 71*h**5/4 - 4325*h**4/6 - 1750*h**3/3 + 122500*h**2 - 3493*h. Factor g(t).
-5*(t - 10)**3*(t + 7)**2
Let q(x) = 29*x**2 - 2*x**3 + 15 + 26 + 55*x**2 - 36*x**2 + 102*x. Let b(t) = t**3 - 24*t**2 - 51*t - 20. Let f(v) = 11*b(v) + 6*q(v). Factor f(i).
-(i - 26)*(i + 1)**2
Suppose 133/5*d**4 - 66/5*d + 9/5*d**5 + 393/5*d**3 + 203/5*d**2 + 0 = 0. What is d?
-11, -3, -1, 0, 2/9
Let a be (8/(-10))/(-7 - 111/(-15)). Let v be a + 4 + 132/(-77). Let -2/7*b**2 + 4/7*b - v = 0. What is b?
1
Let k(y) be the second derivative of -y**7/210 + 76*y**6/15 - 1444*y**5 - 3708*y. Factor k(p).
-p**3*(p - 380)**2/5
Let g(u) be the third derivative of u**7/840 + u**6/240 - u**5/80 - u**4/24 + u**3/6 - 3*u**2 + 71*u + 1. Let g(i) = 0. Calculate i.
-2, 1
Let x(j) = -21*j**2 + 1590*j + 1650. Let t(b) = -b**2 + 84*b + 87. Let d(o) = -39*t(o) + 2*x(o). Let d(c) = 0. Calculate c.
-31, -1
Let x be (-22 + 17)/((1 - -1)/(-2)). Let t(v) = 5*v**2 - 1. Let j be t(-1). Solve -x*l**4 + 10*l**3 + 5*l**2 + 0*l - l - j*l - 5*l = 0.
-1, 0, 1, 2
Factor 19*t**3 - 132 - 5*t**3 - 3*t**3 - 9*t**3 - 4*t**3 + 20*t**2 + 34*t.
-2*(t - 11)*(t - 2)*(t + 3)
Let u(a) be the second derivative of a**6/18 + 51*a**5/20 + 733*a**4/36 + 269*a**3/6 - 75*a**2 + 31*a - 6. Suppose u(x) = 0. What is x?
-25, -3, 2/5
Suppose 0 = r - 4*o + 20, 28*r - 30*r - 5*o = -25. Let z(j) be the second derivative of 31*j + r - 1/4*j**4 + 0*j**2 + 1/15*j**3. Factor z(i).
-i*(15*i - 2)/5
Factor 1/6*i**3 - 57/2*i**2 + 0 + 84*i.
i*(i - 168)*(i - 3)/6
Let s be 97428/(-5295) + (0 - -20). Factor -2/15*b**2 + s + 8/15*b.
-2*(b - 6)*(b + 2)/15
Find h such that -117*h**2 - h**4 - 35*h**2 - 10*h**3 + 131*h**2 = 0.
-7, -3, 0
Let k(n) = -8646*n - 259378