ivative of l(k). Factor f(g).
-5*g**3*(g - 2)
Factor -27*i + 23*i**2 - 36 + 26*i**2 + 13*i**2 - 46*i**2 + 167*i.
4*(i + 9)*(4*i - 1)
Let a be (-1)/(3 + 29/(-10)). Let w(r) = r**2 - 7*r. Let n(d) be the first derivative of 2*d**3/3 - 13*d**2/2 + d + 2. Let g(q) = a*w(q) + 6*n(q). Factor g(h).
2*(h - 3)*(h - 1)
Let r be (-6)/(-3) + 15 + 1. Let w(s) = -s**2 + 17*s + 20. Let g be w(r). Factor 0*y - 1/5 + 1/5*y**g.
(y - 1)*(y + 1)/5
Let -1/4*y**2 + 9/4*y + 0 = 0. Calculate y.
0, 9
Let x be (-363)/(-44) + -8 + 1/12. Let m(z) be the second derivative of 0 + 4*z - 1/18*z**4 - 1/10*z**5 + 1/3*z**3 + x*z**2. Find j, given that m(j) = 0.
-1, -1/3, 1
Let o = 328 + -324. Let w(d) be the second derivative of -2/5*d**2 + 1/5*d**3 + 1/15*d**o + 0 + 6*d - 3/50*d**5. Suppose w(b) = 0. Calculate b.
-1, 2/3, 1
Let m be 13 + -9 + 20/(-42)*(-144)/(-120). Find q such that -m*q + 52/7*q**2 - 52/7*q**4 + 20/7*q**5 + 0 + 4/7*q**3 = 0.
-1, 0, 3/5, 1, 2
Let x be (-19 + 19)/(1/(-1)). Let a be x + (-70)/42*(-12)/70. Let -a*j + 0 - 6/7*j**2 = 0. Calculate j.
-1/3, 0
Let a(t) be the second derivative of -t**5/150 - t**4/30 + 16*t**2 + 31*t. Let g(d) be the first derivative of a(d). Suppose g(z) = 0. Calculate z.
-2, 0
Determine r, given that -109/2*r + 55/2 + 53/2*r**2 + 1/2*r**3 = 0.
-55, 1
Let y(z) = -40*z + 82. Let o be y(2). Determine t so that 2/15*t**o + 0 + 2/15*t = 0.
-1, 0
Factor -9/2*z + 7/4*z**2 + 2 + 7/4*z**3 - 1/4*z**5 - 3/4*z**4.
-(z - 1)**3*(z + 2)*(z + 4)/4
Let j(x) be the third derivative of 0 + 10*x**2 + 0*x + 0*x**3 + 1/280*x**6 + 0*x**5 - 1/56*x**4. Factor j(w).
3*w*(w - 1)*(w + 1)/7
Suppose 0 = 3*u - 18, -452*g + 2*u - 12 = -457*g. Let -6/11*m + g + 2/11*m**2 = 0. What is m?
0, 3
Let h(n) be the first derivative of 2*n**2 + 4*n**3 + 0*n**2 + 6*n**2 + 89*n - 105*n - 30. What is f in h(f) = 0?
-2, 2/3
Let n = 44113/5460 + -105/13. Let z(o) be the third derivative of 0*o**4 + 0 - 4*o**2 - 1/60*o**5 + n*o**7 + 0*o**6 + 1/12*o**3 + 0*o. Factor z(x).
(x - 1)**2*(x + 1)**2/2
Factor -34*k + 8*k**2 + 120 - 3*k**2 + 19*k - 40*k.
5*(k - 8)*(k - 3)
Let j be 6/42 + (-29)/7. Let d be j + 16/20*(4 - -1). Suppose 1/2*t**2 + d*t - 1/2 = 0. Calculate t.
-1, 1
Let g = 134 + -134. Let m(t) be the first derivative of -3/2*t**2 + g*t - 2 - t**3. Factor m(k).
-3*k*(k + 1)
Let l(z) be the second derivative of -2/39*z**4 + 0*z**2 + 4*z + 0*z**3 + 0 - 2/65*z**5 - 1/195*z**6. Factor l(m).
-2*m**2*(m + 2)**2/13
Let n(b) = -b**3 + b. Let i(l) = -2*l + 18*l**3 - 6*l - 10*l**3. Let r(y) = 3*i(y) + 21*n(y). Factor r(d).
3*d*(d - 1)*(d + 1)
Let s(u) be the third derivative of u**8/10080 + u**7/1890 + u**6/1080 + 4*u**4/3 + 17*u**2. Let r(k) be the second derivative of s(k). Factor r(n).
2*n*(n + 1)**2/3
Let p(g) be the first derivative of g**4/26 - 10*g**3/39 - 24*g**2/13 + 261. Let p(v) = 0. What is v?
-3, 0, 8
Suppose -59*p**2 + p**5 - 160*p + 19*p**2 - 96 - 16*p - 5*p**5 + 60*p**3 + 16*p**4 = 0. Calculate p.
-2, -1, 2, 6
Solve 1 - 19 - k**4 + 3*k + 5*k**3 - 7*k**2 + 18 = 0.
0, 1, 3
Let a(o) be the first derivative of -3*o**4 - 23*o**3/3 - 5*o**2/2 - 75. Factor a(q).
-q*(3*q + 5)*(4*q + 1)
Let v = -4504/3 - -1502. What is u in 0 - 10/3*u**2 + 2*u + 2/3*u**4 + v*u**3 = 0?
-3, 0, 1
Let l = 262/105 + -2/21. Let u = 167 - 823/5. Factor u - l*t + 3/5*t**2.
3*(t - 2)**2/5
Let m(i) be the first derivative of i**5/5 + i**4/4 - 10*i**3/3 - 2*i**2 + 24*i + 94. Determine x, given that m(x) = 0.
-3, -2, 2
Let y(u) be the third derivative of -u**8/84 + 2*u**7/105 + u**6/6 - u**5/15 - 4*u**4/3 - 8*u**3/3 - 62*u**2. What is p in y(p) = 0?
-1, 2
Let i(r) be the first derivative of -r**5/25 + 23*r**4/20 - 4*r**3 + 727. Factor i(d).
-d**2*(d - 20)*(d - 3)/5
Let l be (-8)/(-18)*63*(-28)/(-392). Let 6/7*m + 3/7*m**l + 0 = 0. What is m?
-2, 0
Let o be 18/(-3) + 3 - -8. Suppose -2*s**5 + 12*s**3 - 3*s - 6*s**o + 3*s**5 - 6*s**4 - 4*s**5 + 6*s**2 = 0. What is s?
-1, 0, 1/3, 1
Let x(t) be the first derivative of -2*t**5/45 - t**4/2 - 2*t**3 - 31*t**2/9 - 8*t/3 + 32. Find p, given that x(p) = 0.
-4, -3, -1
Let n(m) be the third derivative of m**6/36 + 38*m**5/45 + 71*m**4/36 + m**2 - 370. Find h such that n(h) = 0.
-71/5, -1, 0
Let 9*j**2 + 11/4*j**3 + 0 + 9*j + 1/4*j**4 = 0. What is j?
-6, -3, -2, 0
Let d(f) be the first derivative of f**4/60 - 2*f**3/15 + 2*f**2/5 - 22*f + 32. Let p(a) be the first derivative of d(a). Let p(w) = 0. What is w?
2
Let m(u) = -5*u**3 - 33*u**2 - 57*u - 43. Let x(d) = 354 + 29 - 38 + 455*d + 51*d**3 + 265*d**2 - 11*d**3. Let j(f) = 25*m(f) + 3*x(f). Solve j(y) = 0 for y.
-2
Let j be ((-4)/14)/((-18)/14). Let d be (4/(-11))/2 + (-1200)/(-550). What is z in -2/9*z**3 + j*z**4 + 0*z**d + 0 + 0*z = 0?
0, 1
Let r be 10/(-25) + (-34)/(-10). Let n(x) = 4*x**3 - 3*x**2 + 6*x + 1. Let f be n(r). Factor -22*l + 16*l**3 + f*l**5 + 22*l - 80*l**4.
4*l**3*(5*l - 2)**2
Let j(s) = -64*s**3 - 140*s**2 - 136*s - 56. Let v(c) = -c**4 + 66*c**3 + 139*c**2 + 136*c + 59. Let g(z) = -5*j(z) - 4*v(z). Solve g(x) = 0 for x.
-11, -1
Let y = 9633 - 9630. Solve -1/2*p**y + 9/2 - 19/2*p + 11/2*p**2 = 0 for p.
1, 9
Suppose 23*o - 11*o + 6*o**3 - 10*o**2 + 31*o**2 - 3*o**4 = 0. Calculate o.
-1, 0, 4
Suppose 4*l - 10 = 2*w, -2*l + 6 = w - 1. Let j be 2 + (-45)/6 + 7/1. Suppose -j*a**2 + 0 - 1/2*a**l - a = 0. Calculate a.
-2, -1, 0
Suppose 9 = -2*i - 3*k, -2*i + 4*k = 3*k - 11. Suppose 11*v**3 + 2*v**3 - 28*v**i - 5*v**2 = 0. Calculate v.
-1/3, 0
Suppose 0 = 2*d + 6, r + 2*d + 2 = -1. Determine h so that 2*h**3 - 4*h**2 - 2*h**3 - 2*h**3 + 6*h**r = 0.
0, 1
Let d = 2/17709 + 53123/35418. Factor -3/2*k**3 + 0 + d*k**2 + 3*k.
-3*k*(k - 2)*(k + 1)/2
Let q(b) = -b + 2. Let d be q(4). Let y be d/4 + (-7)/(-2). Find g, given that -17 + g**5 - 3*g**4 + 2*g**5 + 3*g**2 - y*g**3 + 17 = 0.
-1, 0, 1
Let x be (2 + 973/7)/3. Suppose 57*b - x*b = 0. Find y such that b*y**3 + 0 + 1/2*y**4 + 0*y + 0*y**2 = 0.
0
Determine y so that 0 + 0*y - 52/17*y**3 + 16/17*y**2 + 26/17*y**4 + 10/17*y**5 = 0.
-4, 0, 2/5, 1
Let w(x) = x**2 + 8*x - 9. Let l be w(-9). Let o = l - -4. Factor c**4 + 7*c**2 + 4*c**o + c + 4*c**4 + 15*c**3.
c*(c + 1)*(3*c + 1)**2
Let f(i) be the first derivative of -5*i**3/12 + 7*i**2/8 - i/2 - 32. Solve f(b) = 0.
2/5, 1
Suppose 60*c = -211*c. Factor -3/5*s**4 + 0 + 12/5*s**3 - 12/5*s**2 + c*s.
-3*s**2*(s - 2)**2/5
Factor -15/4 - 73/8*u + 5/8*u**2.
(u - 15)*(5*u + 2)/8
Let n(x) be the second derivative of x**7/8820 - x**6/2520 - x**5/70 - 5*x**4/12 - 27*x. Let z(l) be the third derivative of n(l). Factor z(j).
2*(j - 3)*(j + 2)/7
Let s(d) = -d**3 + 7*d**2 + d - 5. Suppose -m + 7 = -0. Let x be s(m). Factor 4*h**x - 11*h + h - 2*h**2 + 8.
2*(h - 4)*(h - 1)
Let x(q) be the second derivative of -3*q**5/40 - 5*q**4/12 + 9*q**3/4 + 5*q**2/2 + 53*q - 2. Factor x(p).
-(p - 2)*(p + 5)*(3*p + 1)/2
Let y(s) be the first derivative of -19*s**5/35 + 17*s**4/28 + 26*s**3/7 - 34*s**2/7 - 8*s/7 + 821. Let y(c) = 0. Calculate c.
-2, -2/19, 1, 2
Let w be 24/10*(208/39 - 2). Let v(a) be the first derivative of -2/15*a**3 + 2/5*a - 1/5*a**2 + 1/10*a**4 - w. Factor v(r).
2*(r - 1)**2*(r + 1)/5
Let v(k) be the first derivative of -k**5/5 - k**4 + k**3/3 + 2*k**2 - 485. Solve v(r) = 0.
-4, -1, 0, 1
Let p be 10/(-105) + ((-40)/126)/(-1). Let j(v) be the first derivative of -8 - p*v**3 - 32/3*v + 8/3*v**2. Let j(d) = 0. Calculate d.
4
Find b such that -101306/9 + 2738/3*b + 2/9*b**3 - 74/3*b**2 = 0.
37
Let z(c) be the second derivative of -3*c**5/20 - 7*c**4 - 50*c**3 - 144*c**2 - 124*c. Factor z(b).
-3*(b + 2)**2*(b + 24)
Let m(b) = 2*b**4 + b**3 + b. Let k(x) = -81*x**5 - 355*x**4 + 21*x**3 + 700*x**2 - 289*x + 32. Let n(r) = 2*k(r) - 14*m(r). Let n(f) = 0. Calculate f.
-4, -2, 2/9, 1
Let y(q) = -4*q**3 + 5*q**2 - 6*q. Let c = 32 + -38. Let p(f) = 5*f**3 - 6*f**2 + 7*f. Let v(n) = c*y(n) - 5*p(n). Let v(x) = 0. What is x?
-1, 0, 1
Let n(a) be the second derivative of -2/3*a**3 + 1/15*a**5 - 9*a - 2/9*a**4 + 0 + 0*a**2. Factor n(d).
4*d*(d - 3)*(d + 1)/3
Let k = 448389/299 - 26652/23. Let d = 341 - k. Let d*u + 0*u**3 - 2/13*u**5 + 4/13*u**4 - 4/13*u**2 + 0 = 0. Calculate u.
-1, 0, 1
Let h(t) be the first derivative of 2*t**5/5 + 202*t**4/7 + 11542*t**3/21 - 1682*t**2/7 - 776. Factor h(w).
2*w*(w + 29)**2*(7*w - 2)/7
Let v(j) = -5*j