*y**4 + 0 + 3/40*y**6 + 0*y - 1/2*y**3. Factor h(k).
(k - 3)*(3*k + 1)**2
Let v = 12913 - 142005/11. Factor -32/11*b**2 + v*b - 8/11*b**3 - 10/11.
-2*(b + 5)*(2*b - 1)**2/11
Suppose 2*k + 1866 = 2*g + 1848, 0 = -5*g + 45. Factor -1/10*j**3 + 2/5*j + k - 3/10*j**2.
-j*(j - 1)*(j + 4)/10
Let s(t) be the third derivative of -t**11/258720 + t**10/176400 - t**5/6 - 2*t**2. Let j(k) be the third derivative of s(k). Let j(f) = 0. What is f?
0, 2/3
Suppose -6*k**4 + 39*k**3 - k**5 - 2*k**5 + 2*k**5 - 12*k + 24*k**2 - 4*k**5 - 4*k**5 = 0. Calculate k.
-2, -1, 0, 1/3, 2
Suppose 3*c = 3*i - 3, -i - 4*c - 2 = -8*c. Suppose 5*q - 48 = i*b, -q - 3*b = -7*b - 24. Let -3*g**3 + 0*g + 2*g**2 - 3*g + q*g**2 - 4*g**2 = 0. Calculate g.
0, 1
Let v = -63 - -63. Factor -3*s**2 + 8*s**2 - 6*s**2 - 3*s + v*s**2.
-s*(s + 3)
Determine j so that 27*j**3 - 21*j**3 - 10*j**2 + 56*j + 48*j**2 = 0.
-4, -7/3, 0
Let z(d) be the second derivative of 3/4*d**2 + 7*d + 1/24*d**4 - 1/3*d**3 - 3. Factor z(f).
(f - 3)*(f - 1)/2
Let p(l) = -3*l**2 - 4*l + 3. Let h be p(2). Let f be (1*-2)/(h/17). Factor 6*g + 2 - 3*g**3 + 3*g**f - 2.
-3*g*(g - 2)*(g + 1)
Let a = -4235 - -4235. Factor -2*m**2 - 4/7*m - 6/7*m**3 + a.
-2*m*(m + 2)*(3*m + 1)/7
Let m(g) be the first derivative of -4*g**3/9 - 200*g**2/3 + 404*g/3 + 253. Factor m(j).
-4*(j - 1)*(j + 101)/3
Let d(i) = -9*i**2 + 2*i + 1. Let o = -9 + 12. Let r(a) = -26*a**2 + 6*a + 4. Let v(u) = o*r(u) - 8*d(u). Find m such that v(m) = 0.
-2/3, 1
Suppose 2*u**2 + 36/7*u + 1/7*u**4 - 9/7*u**3 - 72/7 = 0. What is u?
-2, 2, 3, 6
Let v(c) = -22*c**4 + 7*c**3 + 142*c**2 + 60*c - 173. Let k(d) = 7*d**4 - 2*d**3 - 47*d**2 - 20*d + 58. Let x(n) = 7*k(n) + 2*v(n). Factor x(o).
5*(o - 3)*(o - 1)*(o + 2)**2
Let o(j) be the first derivative of -j**5 - 5*j**4/2 + 20*j**3 - 35*j**2 + 25*j - 341. Factor o(u).
-5*(u - 1)**3*(u + 5)
Let z(c) be the second derivative of -c**7/630 + c**5/30 + 11*c**4/12 - 19*c. Let g(d) be the third derivative of z(d). Factor g(w).
-4*(w - 1)*(w + 1)
Let p(i) be the first derivative of -5*i**4/2 - 12*i**3 + 8*i**2 - 324. Let p(z) = 0. What is z?
-4, 0, 2/5
Let h(l) = -3*l**3 - 12*l. Let k be h(-6). Factor 7*v + k*v**2 - 722*v**2 - v.
-2*v*(v - 3)
Let w(t) be the third derivative of t**7/1680 - t**6/120 + 11*t**5/240 - t**4/8 + 3*t**3/16 + 8*t**2 + 4. Factor w(x).
(x - 3)**2*(x - 1)**2/8
Let x(c) = 4*c**4 - 3*c**3 - 4*c**2 + 3*c + 3. Let i(q) = -5*q**4 + 3*q**3 + 5*q**2 - 3*q - 4. Let a(p) = -3*i(p) - 4*x(p). Factor a(b).
-b*(b - 3)*(b - 1)*(b + 1)
Let r(k) be the second derivative of -k**4/36 - k**3/9 + k**2/2 + 12*k. Factor r(j).
-(j - 1)*(j + 3)/3
Let o(d) be the first derivative of 30 - 32/15*d**5 + 5/18*d**6 + 35/6*d**2 + 6*d**4 - 2*d - 74/9*d**3. Factor o(t).
(t - 3)*(t - 1)**3*(5*t - 2)/3
Let 22/7*r - 2/7*r**5 - 12/7 + 0*r**2 - 20/7*r**3 + 12/7*r**4 = 0. What is r?
-1, 1, 2, 3
Let t(n) = n**2 - n - 1. Let a(f) = 7*f**2 - 94*f + 1930. Let i(k) = a(k) - 6*t(k). Factor i(g).
(g - 44)**2
Factor -2/13*w**5 + 0 + 0*w + 0*w**2 - 6/13*w**3 + 8/13*w**4.
-2*w**3*(w - 3)*(w - 1)/13
Suppose -3*h + 8*h + 2*i = 10, -6 = h + 2*i. Let u be (6/h)/((-351)/(-72)). Find b such that 0 - 2/13*b**2 - u*b = 0.
-2, 0
Let i(g) be the third derivative of g**6/40 - g**5/20 - g**4/4 + 80*g**2. Factor i(w).
3*w*(w - 2)*(w + 1)
Let w(n) be the second derivative of -n**7/840 + n**6/160 - n**5/240 - n**4/32 + n**3/12 + 8*n**2 - 10*n. Let o(x) be the first derivative of w(x). Factor o(g).
-(g - 2)*(g - 1)**2*(g + 1)/4
Let b(o) be the first derivative of -2*o**5/25 + 74*o**3/15 - 72*o/5 - 508. Find v, given that b(v) = 0.
-6, -1, 1, 6
Let f(a) be the second derivative of -a**7/252 - 7*a**6/60 - 27*a**5/20 - 15*a**4/2 - 18*a**3 + 21*a. Factor f(u).
-u*(u + 3)*(u + 6)**3/6
Factor 1320*o + 266 + 5*o**4 - 44 + 498 + 485*o**2 - 110*o**3.
5*(o - 12)**2*(o + 1)**2
Suppose 0 = -8*q - 0*q. Suppose 4*w - 4*k = -12, 2*w + 3*k - 19 = -q*k. Solve 6*s + 0 + 0*s**2 - 4*s**2 - 4 + 2*s**w = 0.
1, 2
Let u(r) be the second derivative of 0*r**4 + 0*r**3 - 12*r + 0*r**2 + 1/30*r**6 + 0 + 1/20*r**5. Determine s so that u(s) = 0.
-1, 0
Let p(h) be the first derivative of h**4/8 + h**3/6 - h**2/2 + 63. Factor p(b).
b*(b - 1)*(b + 2)/2
Let p(c) = -c**3 + 3*c**2 - 2*c + 1. Let j be -4*(-3 + 20/8). Let d be p(j). Factor -3 + 3*o**2 + d - 6*o - 7.
3*(o - 3)*(o + 1)
Let l(v) = -3*v**2 + 5*v + 8. Let k(t) = -5*t**2 + 8*t + 13. Let h(q) = 5*k(q) - 8*l(q). Factor h(r).
-(r - 1)*(r + 1)
Factor 1/2*l**5 + 33/2*l**3 + 0 - 5*l**4 - 20*l**2 + 8*l.
l*(l - 4)**2*(l - 1)**2/2
Let y(n) be the first derivative of 49*n**6/10 + 819*n**5/20 + 85*n**4 + 66*n**3 + 24*n**2 - 21*n + 23. Let w(b) be the first derivative of y(b). Factor w(t).
3*(t + 1)*(t + 4)*(7*t + 2)**2
Let r(v) be the first derivative of 29*v**4 - 124*v**3/3 + 4*v**2 - 364. Factor r(m).
4*m*(m - 1)*(29*m - 2)
Let x(o) be the third derivative of -o**6/240 + 3*o**5/40 - 23*o**4/48 + 5*o**3/4 - 49*o**2. What is j in x(j) = 0?
1, 3, 5
Suppose -135*h + 139*h = 0, 4*h = -5*d + 15. Let -1 + z**2 - 1/3*z**d + 1/3*z = 0. Calculate z.
-1, 1, 3
Solve -1/2*p**3 + 1/2*p + 4 - 4*p**2 = 0.
-8, -1, 1
Suppose 4*l + 5 = 5*l + v, v = 4*l - 10. Let s be l*1/3*8. Suppose -2*r**3 + s*r**3 + 9*r**4 + 0*r**2 + 1 - 12*r**2 + 2 - 6*r**5 = 0. What is r?
-1, -1/2, 1
Let n(u) be the first derivative of -u**5/35 - 6*u**4/7 - 184*u**3/21 - 240*u**2/7 - 400*u/7 - 35. Factor n(c).
-(c + 2)**2*(c + 10)**2/7
Factor c**4 + 6*c**2 - 20126*c + 20183*c + 23*c**3 + 73*c**2.
c*(c + 1)*(c + 3)*(c + 19)
Let t be (276/21)/4 + (-4)/(-14). Let u = -43/14 + t. Factor -u - 1/2*v**2 + v.
-(v - 1)**2/2
Let u(x) be the third derivative of -x**7/42 + x**6/9 - 5*x**5/24 + 5*x**4/24 - 7*x**3/6 + 14*x**2. Let j(h) be the first derivative of u(h). Factor j(a).
-5*(a - 1)*(2*a - 1)**2
Let x(j) be the third derivative of -16/105*j**7 - 9*j**2 + 2/15*j**5 + 0 + 0*j**3 + 0*j + 0*j**4 + 1/28*j**8 + 1/10*j**6. Suppose x(z) = 0. What is z?
-1/3, 0, 1, 2
Let s(b) be the second derivative of 7*b**5/110 + b**4/33 - 7*b**3/33 - 2*b**2/11 - 23*b + 1. Factor s(x).
2*(x - 1)*(x + 1)*(7*x + 2)/11
Let f(n) be the second derivative of n**5/90 + 5*n**4/18 + 25*n**3/9 + 5*n**2 + 8*n. Let j(u) be the first derivative of f(u). Factor j(w).
2*(w + 5)**2/3
Let 2/7*g**3 + 0 - 2/7*g + 0*g**2 = 0. What is g?
-1, 0, 1
Let x(d) be the third derivative of 1/40*d**6 + 1/784*d**8 + 0*d - 3 - 1/70*d**7 + 23/140*d**5 - 1/7*d**4 - 8/7*d**3 + 5*d**2. Suppose x(w) = 0. Calculate w.
-1, 1, 4
Let x(o) be the first derivative of -3/7*o**2 - 1/14*o**4 + 2/7*o**3 + 2/7*o + 6. What is i in x(i) = 0?
1
Let r(l) = -49*l**2 + 78*l + 5. Let f(m) be the third derivative of 11*m**5/20 - 13*m**4/6 - m**3/2 - 9*m**2. Let a(j) = -7*f(j) - 5*r(j). Factor a(d).
2*(d - 2)*(7*d + 1)
Let q = -1/32616 + 301711/424008. Let u = q - -1/26. Find x such that 9/4*x**5 + 0 + u*x**3 - 15/4*x**4 + 3/4*x**2 + 0*x = 0.
-1/3, 0, 1
Let r(i) = -115*i**2 + 65*i - 10. Let v(x) = 3*x**2 - x + 1. Let k(h) = r(h) + 40*v(h). Let k(w) = 0. Calculate w.
-3, -2
Let y(x) = x**3 + 21*x**2 + 18*x. Let f(s) = -3*s**3 - 84*s**2 - 72*s. Let t(i) = -2*f(i) - 9*y(i). Suppose t(n) = 0. Calculate n.
-6, -1, 0
Let c(t) be the third derivative of t**8/84 - 4*t**7/35 + 7*t**6/15 - 16*t**5/15 + 3*t**4/2 - 4*t**3/3 + 222*t**2. Factor c(g).
4*(g - 2)*(g - 1)**4
Let l = 201 - 196. Suppose -4*w + 7 = -3*w. Factor 8*u**2 - 12*u**2 - 64 - 20*u - l*u - w*u.
-4*(u + 4)**2
Let b(o) be the first derivative of -o**4/48 + 5*o**3/36 + o**2/12 - 2*o - 417. Factor b(k).
-(k - 4)*(k - 3)*(k + 2)/12
Let 32/13*w**2 + 8/13*w**4 - 6/13*w + 0 - 34/13*w**3 = 0. Calculate w.
0, 1/4, 1, 3
Let a(o) = o**3 - 6*o**2 + 6*o + 14. Let r be a(6). Factor -80 - 10*q + r*q - 6*q**2 + q**2.
-5*(q - 4)**2
Let j(a) be the third derivative of a**7/70 + 7*a**6/20 - a**2 + 160*a. Factor j(c).
3*c**3*(c + 14)
Let k = -64 - -72. Let r be -1 - ((-2)/(-8) - 11/k). Factor 0 + 1/8*m**4 + 1/8*m**3 - r*m**2 - 1/8*m.
m*(m - 1)*(m + 1)**2/8
Let s(x) be the first derivative of -x**6/30 + x**5/15 + x**4/3 - 5*x**2 - 4. Let y(j) be the second derivative of s(j). Let y(l) = 0. Calculate l.
-1, 0, 2
Let t(w) be the first derivative of w**6/42 + 8*w**5/35 + 6*w**4/7 + 34*w**3/21 + 23*w**2/14 + 6*w/7 - 63. What is z in t(z) = 0?
-3, -