*2.
2*(m - 28)*(m - 2)/3
Let y(d) = 221*d**3 + 444*d**2 + 235*d + 8. Let u(p) = -222*p**3 - 444*p**2 - 237*p - 9. Let h(k) = -2*u(k) - 3*y(k). Suppose h(g) = 0. Calculate g.
-1, -2/73
Let y(q) be the third derivative of q**6/60 + 71*q**5/30 - 145*q**4/12 + 73*q**3/3 - 35*q**2 + 4*q. Factor y(a).
2*(a - 1)**2*(a + 73)
Let p(d) = d**5 + d**4 - d. Let q(l) = 17*l**2 - 35*l**4 + 5*l**5 - 19*l - 48*l**2 + 21*l + 4 + 53*l**3. Let j(h) = -6*p(h) - 3*q(h). Let j(f) = 0. Calculate f.
-2/7, 1, 2
Factor 3/2 - 1/2*b**2 + b.
-(b - 3)*(b + 1)/2
Suppose -22*s = -10*s - 1332. Find l such that 565*l**2 + s*l**2 - 21137 + 21153 + 208*l = 0.
-2/13
Factor 2*n + 1/3*n**5 - 5/3*n**4 - 7/3*n**3 + 0 + 5/3*n**2.
n*(n - 6)*(n - 1)*(n + 1)**2/3
Let b(t) = -7*t**2 - 44*t - 42. Let v(j) = 6*j**2 + 44*j + 42. Let f(p) = -4*b(p) - 5*v(p). Solve f(m) = 0 for m.
-21, -1
Let j(k) be the third derivative of k**5/330 + 13*k**4/132 + 4*k**3/11 + 4*k**2 - 43. Factor j(p).
2*(p + 1)*(p + 12)/11
Let n = 36 - 32. Let i(j) be the third derivative of 1/120*j**5 + 0*j**3 + 0 + 0*j + 3*j**2 + 1/144*j**n. Solve i(d) = 0.
-1/3, 0
Let b(u) = -u - 9. Let r be b(-4). Let c(d) = 2*d**2 + 2*d - 4. Let h be c(r). Solve 2*a + h*a**3 - a - 15*a**4 - 27*a**2 + 5*a = 0 for a.
0, 2/5, 1
Let u be ((-2)/28*3)/(398/(-1393)). Let w(z) be the first derivative of 4 + 0*z - z**3 + 0*z**2 + u*z**4. Let w(c) = 0. Calculate c.
0, 1
Let d(g) be the second derivative of -g**7/42 - 11*g**6/30 - 43*g**5/20 - 77*g**4/12 - 32*g**3/3 - 10*g**2 + 7*g + 11. Factor d(x).
-(x + 1)**2*(x + 2)**2*(x + 5)
Let x be (-40)/(-6) + 1/((-3)/5). Let m(s) be the first derivative of 7/5*s**2 + 1/2*s**4 - 4/5*s - 6 - 2/25*s**x - 6/5*s**3. Factor m(n).
-2*(n - 2)*(n - 1)**3/5
Let g = 1314 - 9194/7. Factor 4/7*c**4 + 0*c - 4/7*c**5 - 4/7*c**2 + 0 + g*c**3.
-4*c**2*(c - 1)**2*(c + 1)/7
Let -9*w**4 - 9*w + w**4 + 5*w**4 - 9*w**2 + 15*w**2 + 9*w**3 - 3*w**2 = 0. What is w?
-1, 0, 1, 3
Let v(m) = -m**3 - 1. Let k(t) = 2*t**2 - 7*t**2 + 2*t**2 + 3. Let x(f) = k(f) + 3*v(f). Factor x(w).
-3*w**2*(w + 1)
Factor 6/19*y**4 + 4/19*y + 16/19*y**3 + 0 + 14/19*y**2.
2*y*(y + 1)**2*(3*y + 2)/19
Let w(y) be the first derivative of -18 - 1/8*y**4 - 1/2*y**3 + 3/2*y + 1/4*y**2. Factor w(k).
-(k - 1)*(k + 1)*(k + 3)/2
Let j(t) = -2*t + 34. Let a be j(-4). Let s be -5*a/(-90) + 1*-2. Let u**2 - 2/3 - 1/3*u + 1/3*u**3 - s*u**4 = 0. Calculate u.
-1, 1, 2
Suppose 6*z - 4*z - 602 = 0. Suppose 2*y**3 - 3 + 18*y**4 + z*y**2 + 21*y - 23*y**3 - 316*y**2 = 0. Calculate y.
-1, 1/6, 1
Let y be ((-8)/6)/(-2) + (-154)/6. Let k = y - -27. Determine r so that 15/4*r**3 - 3 - 9*r - 9/4*r**k = 0.
-1, -2/5, 2
Let u(z) be the first derivative of 7*z**3/6 - 19*z**2/12 - z/3 - 293. Let u(n) = 0. What is n?
-2/21, 1
Let t(m) be the first derivative of -3/20*m**5 + 9/16*m**4 - 14 - 1/4*m**3 + 3/2*m - 9/8*m**2. Determine n so that t(n) = 0.
-1, 1, 2
Let x(p) be the third derivative of -p**7/105 - p**6/60 + 2*p**5/15 + p**4/3 - 184*p**2 + 2. Suppose x(j) = 0. What is j?
-2, -1, 0, 2
Let s(c) be the second derivative of 0 - 1/6*c**3 + 1/48*c**4 - 17*c - 5/8*c**2. Factor s(x).
(x - 5)*(x + 1)/4
Let n(k) be the first derivative of -2*k**5/5 + k**4 + 14*k**3/3 + 4*k**2 + 13. Solve n(t) = 0 for t.
-1, 0, 4
Let u(t) be the first derivative of -5*t**6/18 + 7*t**5/15 + 13*t**4/12 - 11*t**3/9 - 4*t**2/3 + 4*t/3 + 965. Find k such that u(k) = 0.
-1, 2/5, 1, 2
Let o = 91 + -89. Suppose -2*r + 6 - o = 0. Find y such that 4/9*y**r - 2/9*y - 2/9*y**3 + 0 = 0.
0, 1
Let i(q) be the second derivative of q**4/132 - 4*q**3/33 - 9*q**2/22 + 6*q + 2. Factor i(t).
(t - 9)*(t + 1)/11
Let g(u) be the first derivative of u**6/4 + 21*u**5/10 + 9*u**4/8 - 23*u**3/2 - 24*u**2 - 18*u - 48. Solve g(w) = 0.
-6, -1, 2
Let k(h) be the first derivative of -4*h**3/3 - 18*h**2 - 56*h - 219. Determine a so that k(a) = 0.
-7, -2
Let x(m) be the first derivative of 245*m - 35*m**2 + 3 + 5/3*m**3. Solve x(c) = 0.
7
Let g(u) = -u**2 + 22*u + 365. Let z be g(33). Factor 2/3*p**z + 8/3*p + 8/3.
2*(p + 2)**2/3
Find f, given that -10/7*f**2 - 6/7*f + 6/7*f**3 + 8/7 + 2/7*f**4 = 0.
-4, -1, 1
Let k be (-21)/140 - (-12)/30. Let l(v) be the second derivative of 3/40*v**5 + 1/4*v**3 + 0*v**2 - k*v**4 - 2*v + 0. Factor l(z).
3*z*(z - 1)**2/2
Let n(r) be the first derivative of 5*r**8/336 - r**6/12 + 5*r**4/24 - 43*r**2/2 + 8. Let i(z) be the second derivative of n(z). Find o such that i(o) = 0.
-1, 0, 1
Let x = 2/11647 + 570685/104823. Factor 7/3*k**2 + 8/3*k + 4/9 - x*k**3.
-(k - 1)*(7*k + 2)**2/9
Suppose -5*c + 74 = -3*n, 2*n + 3*c = -2*c - 41. Let d be (-40)/140 + (-1 - n/7). Solve 0 + 1/4*r**5 - 1/4*r - 1/2*r**4 + 1/2*r**d + 0*r**3 = 0 for r.
-1, 0, 1
Let z(f) be the second derivative of 0 + 1/150*f**6 + 0*f**4 - 1/10*f**2 + 1/50*f**5 - 1/15*f**3 + 31*f. Factor z(w).
(w - 1)*(w + 1)**3/5
Let w(t) be the third derivative of 1/140*t**6 - 1/735*t**7 + 0 + 1/210*t**5 + 0*t - 1/28*t**4 + 0*t**3 + 12*t**2. Factor w(r).
-2*r*(r - 3)*(r - 1)*(r + 1)/7
Let f be 5 - 3 - -1 - 1. Let a(u) be the third derivative of 0 + 1/120*u**6 - 3/100*u**5 + 1/150*u**7 + f*u**2 + 1/15*u**3 - 1/24*u**4 + 0*u. Factor a(s).
(s - 1)*(s + 1)**2*(7*s - 2)/5
Let y = -23201/18 + 1289. Let o(w) be the first derivative of y*w**3 - 8 - 1/6*w + 0*w**2. Determine l so that o(l) = 0.
-1, 1
Factor 23 + 19/4*a - 1/4*a**2.
-(a - 23)*(a + 4)/4
Let t(c) be the second derivative of -c**7/15 - 2*c**6/75 + 7*c**5/50 + c**4/15 + 12*c. Determine o so that t(o) = 0.
-1, -2/7, 0, 1
Let q be (0/14)/(2/((-6)/9)). Let m be q - (-6)/(6 - -6). Suppose -m*g**3 - 1 - 2*g**2 - 5/2*g = 0. What is g?
-2, -1
Let i(p) be the second derivative of -p**5/45 + p**4/9 - 4*p**3/27 + 49*p. Factor i(g).
-4*g*(g - 2)*(g - 1)/9
Let o(b) be the second derivative of 1/12*b**4 + 0 + 27*b - 3*b**2 + 1/6*b**3. Factor o(s).
(s - 2)*(s + 3)
Suppose -5*c + 2*c + 6 = 0. Suppose -k - 26 = -z - c*z, 0 = 3*z - 4*k - 32. Factor 5*f + 5 - 5 + 7*f + 8 - z*f**2 - 12*f**3.
-4*(f - 1)*(f + 1)*(3*f + 2)
Let -16/9*l**2 + 8/9*l**4 - 2/9*l - 2/9*l**5 + 4/9*l**3 + 8/9 = 0. Calculate l.
-1, 1, 4
Let z(a) be the third derivative of -a**7/420 + 4*a**6/15 + 13*a**5/24 + 247*a**2. Let z(p) = 0. What is p?
-1, 0, 65
Let u(f) be the first derivative of 2/7*f - 3/14*f**2 + 1/21*f**3 + 20. Factor u(l).
(l - 2)*(l - 1)/7
Factor 14/3*f**3 + 26/3*f - 10*f**2 - 8/3 - 2/3*f**4.
-2*(f - 4)*(f - 1)**3/3
Let j(l) be the third derivative of -35*l**8/48 + 17*l**7/6 - 67*l**6/24 - 23*l**5/12 + 10*l**4/3 + 10*l**3/3 + 11*l**2. Factor j(x).
-5*(x - 1)**3*(7*x + 2)**2
Suppose 0 = 2*f + 2*f + 3*k - 54, -4*f = 4*k - 56. Factor 7*o**2 + 3*o**3 + 0*o**2 + 24*o - 2*o**2 + f + 10*o**2.
3*(o + 1)*(o + 2)**2
Let g(r) be the second derivative of -r**6/6 - r**5 - 5*r**4/2 - 10*r**3/3 - 5*r**2/2 - 4*r - 10. Find m such that g(m) = 0.
-1
Let a(f) be the second derivative of 4/9*f**3 + 0 + 1/3*f**4 - 2/15*f**5 + 0*f**2 + 15*f. Find z, given that a(z) = 0.
-1/2, 0, 2
Let c be (-3914)/323 - 2/(-17). Let v be c/78 - 108/(-26). Factor -4/7*a**2 + 0 + 0*a - 2/7*a**v - 6/7*a**3.
-2*a**2*(a + 1)*(a + 2)/7
Determine n so that -85*n**2 + 3*n**4 - 41*n - 30 + 129*n - n**4 + 0*n**4 + n**2 + 24*n**3 = 0.
-15, 1
Let r be (174/21)/2 - 1/7. Suppose 0 = d + 2, r*o = 2*d + 2*d + 16. Find l such that 24/7*l**o + 3/7 + 12/7*l**3 + 15/7*l = 0.
-1, -1/2
Suppose 4*n - 5*q - 15 = 6, -4*q = -12. Factor 8 - n*d - 15*d + 4*d**3 + 12*d.
4*(d - 1)**2*(d + 2)
Let u(z) be the third derivative of -1/200*z**6 - 15*z**2 - 1/100*z**5 + 0*z + 0*z**3 + 1/20*z**4 + 0. Solve u(t) = 0.
-2, 0, 1
Let d(u) be the third derivative of 0*u - 13/90*u**6 + 0*u**3 - 7/135*u**5 + 0 - 1/108*u**8 + 14*u**2 + 1/9*u**4 - 22/315*u**7. Let d(y) = 0. Calculate y.
-3, -1, 0, 2/7
Let o(z) = -2*z**2 - 6*z + 2. Let l(n) = n**2 + 5*n + 1. Let f(p) = -6*l(p) - 5*o(p). Factor f(w).
4*(w - 2)*(w + 2)
Solve 1/6*t + 1/6 - 1/6*t**2 - 1/6*t**3 = 0.
-1, 1
Let u(r) be the second derivative of -1/2*r**3 - 3/20*r**5 + 0*r**2 + 1/2*r**4 + 0 + 7*r. Solve u(h) = 0.
0, 1
Determine r, given that -76/7*r**4 - 556/7*r**3 + 4*r**5 + 144/7 + 528/7*r - 68/7*r**2 = 0.
-3, -1, -2/7, 1, 6
Let b(v) be the second derivative of -v**5/30 + 20*v**4/9 - 13*v**3/3 + 27*v + 3. Factor b(s).
-2*s*(s - 39)*(s - 1)/3
Factor s**2 + s**3 + s**5 + 