 + 1/4*k**j + 0*k**3 + 0*k = 0.
-1, 0, 1
Let v(b) be the third derivative of -b**7/1260 + b**6/540 + b**5/45 - b**4/9 + 7*b**3/3 - 19*b**2. Let k(f) be the first derivative of v(f). Factor k(n).
-2*(n - 2)*(n - 1)*(n + 2)/3
Suppose 5 = 6*h - 37. Let a be (-2)/h + (-13)/(1820/(-264)). Let -32/5*w**2 + 10*w**4 + a*w + 0 + 2*w**3 = 0. What is w?
-1, 0, 2/5
Let t be (-65)/50*3 - (-1)/(5/20). Factor -t*m**3 + 0 + 1/10*m + 0*m**2.
-m*(m - 1)*(m + 1)/10
Suppose 0 = -8*z - 57 + 89. Let q = 14 + 4. Factor -18 + 2*n**3 + 0*n - 5*n**z + 5*n**2 + q - 2*n.
-n*(n - 1)*(n + 1)*(5*n - 2)
Let i(n) = 5*n**4 - 37*n**3 + 25*n**2 + 19*n - 30. Let j(k) = 10*k**4 - 72*k**3 + 50*k**2 + 39*k - 60. Let t(f) = 11*i(f) - 6*j(f). Find l such that t(l) = 0.
-1, 1, 2, 3
Let w(t) be the second derivative of 2*t**6/15 - 16*t**5/5 + 52*t**4/3 - 32*t**3 + 8*t + 37. Determine p so that w(p) = 0.
0, 2, 12
Let m(s) = -s**2 - s. Let g(j) = -5*j - 3. Suppose -18 = -6*o - 0. Suppose -2*q + 4*u + 26 = 3*q, -5*u = 4*q - 29. Let h(c) = o*g(c) + q*m(c). Factor h(y).
-3*(y + 3)*(2*y + 1)
Let u(i) be the second derivative of i**4/42 + i**3/3 - 30*i**2/7 + 1092*i. Factor u(b).
2*(b - 3)*(b + 10)/7
Let n(i) = 4 + 2*i**2 + 12 - 2*i - 18. Let w be n(-1). Suppose -6 + 0*g**w - 8*g**2 + 10*g**2 + 6*g - 2 = 0. What is g?
-4, 1
Let d(j) be the first derivative of 3*j**4/10 - 4*j**3 + 84*j**2/5 - 144*j/5 - 160. Factor d(y).
6*(y - 6)*(y - 2)**2/5
Factor -1/2*k**2 + 7/2*k - 3.
-(k - 6)*(k - 1)/2
Suppose 6*a = -4*a + 20. Find v, given that v**3 - a*v - 19*v**2 + 15*v**2 - v + 6*v**2 = 0.
-3, 0, 1
Let u(n) be the first derivative of -8 - 8/3*n**3 + 1/1080*n**6 + 0*n**4 + 0*n + 0*n**2 + 0*n**5. Let d(i) be the third derivative of u(i). Factor d(f).
f**2/3
Let h(s) = 5*s**3 - 3*s**2 - s + 1. Let r = 21 - 19. Let g(k) = -26*k**3 + 15*k**2 + 4*k - 4. Let a(l) = r*g(l) + 11*h(l). Factor a(o).
3*(o - 1)**2*(o + 1)
Let f(w) be the second derivative of w**5/20 - w**4/6 + w**3/2 - 3*w**2/2 + 7*w. Let x be f(2). Factor -7*h**3 + 2*h**x + 3*h**2 + 4*h - 4 + 4*h + 4*h**2.
-(h - 2)*(h + 1)*(5*h - 2)
Let a(i) be the third derivative of -2/3*i**3 + 1/6*i**4 + 10*i**2 - 1/60*i**5 + 0*i + 0. Suppose a(z) = 0. Calculate z.
2
Let w = 414 + -411. Let u(z) be the first derivative of 6 - 3/11*z**2 + 0*z - 2/33*z**w. Determine f, given that u(f) = 0.
-3, 0
Suppose -3*y + 96 - 18 = 0. Determine l so that -y*l**3 + 2*l**4 - 8*l**4 + 15*l**2 - 9*l**4 + 20*l + l**3 + 5*l**5 = 0.
-1, 0, 1, 4
Let m = 598 - 596. Let y = 7/5 - -1/5. Solve 0 + 2/5*s - 2*s**m + y*s**3 = 0 for s.
0, 1/4, 1
Suppose c - 6 = -4*t, 2*t + 131 = 5*c + 123. Find m such that -3/8*m**3 + 9/8*m**4 - 27/8*m**c + 27/8*m - 3/4 = 0.
-2, 1/3, 1
Let t(f) be the first derivative of -f**4/12 - f**3/9 + 3*f**2/2 + 3*f + 173. Let t(d) = 0. Calculate d.
-3, -1, 3
Let f(r) be the second derivative of 7*r**6/30 - 3*r**5/10 + 1009*r. Factor f(j).
j**3*(7*j - 6)
Let l(s) be the third derivative of -s**6/60 + s**5/6 + 7*s**4/6 - 117*s**2. Let l(i) = 0. Calculate i.
-2, 0, 7
Let b be ((-16)/2 + -22)*(-1)/6. Let 3/2*f**b - 7/2*f**4 - 5/2*f + 1/2 + f**3 + 3*f**2 = 0. What is f?
-1, 1/3, 1
Let i(x) = -10*x**3 - 24*x**2 - 21*x. Let h(b) = -b**3 + 2*b. Let j(q) = 6*h(q) + i(q). Factor j(v).
-v*(4*v + 3)**2
Find d, given that 3/2*d**2 + 9/2*d + 3 = 0.
-2, -1
Let n(b) be the third derivative of -b**7/1260 - b**6/60 - 3*b**5/20 - 3*b**4/4 - 31*b**3/6 - 21*b**2. Let w(m) be the first derivative of n(m). Factor w(d).
-2*(d + 3)**3/3
Let i = 866 - 123. Let 6*l**2 + 7*l + i - 27*l - 728 - l**2 = 0. Calculate l.
1, 3
Let w = -26 + 71. Factor -18*x - 6 + w - 19 - 2*x**2.
-2*(x - 1)*(x + 10)
Factor 2/7*p - 4/7*p**2 + 0 + 2/7*p**3.
2*p*(p - 1)**2/7
Let b(s) be the third derivative of -s**5/60 - s**3/3 + 8*s**2. Let g(a) = -a**2 - 1. Let v(l) = b(l) - 2*g(l). Suppose v(c) = 0. Calculate c.
0
Let a be -1 + 6 - (-651)/(-7). Let d be (-1 - -6) + 424/a. Factor 0 + 0*r**2 - d*r**3 + 8/11*r.
-2*r*(r - 2)*(r + 2)/11
Let h be (-8)/(-2) + 1974/(-490) - 51/(-119). Factor h*w**4 - 64/5*w - 16/5*w**3 + 48/5*w**2 + 32/5.
2*(w - 2)**4/5
Let g(s) be the second derivative of 3*s - 4/15*s**3 + 0 + 1/5*s**2 - 1/6*s**4. Factor g(p).
-2*(p + 1)*(5*p - 1)/5
Let o be ((-201)/(-201))/(-1 + (-6)/(-4)). Factor 16/3*h + 22/5*h**o + 32/15 + 4/3*h**3 + 2/15*h**4.
2*(h + 1)**2*(h + 4)**2/15
Determine x, given that 64/5*x**3 - 1156/5*x + 442/5*x**2 + 2/5*x**4 + 0 = 0.
-17, 0, 2
Let x be (2/((-140)/14))/((24/(-10))/3). Factor -x*f - 3/2 + 1/4*f**2.
(f - 3)*(f + 2)/4
Let v be (-6)/(-4)*584/3942. Factor 0*h**3 - v*h**5 + 0 + 2/9*h + 4/9*h**2 - 4/9*h**4.
-2*h*(h - 1)*(h + 1)**3/9
Let k(l) = 4*l**2 + 8. Let w(a) be the second derivative of a**2/2 - 2*a. Let h(q) = -k(q) + 12*w(q). Suppose h(p) = 0. Calculate p.
-1, 1
Suppose 2*c - 7 + 3 = 0. Let t be (6/(-4))/((-2)/4). Solve c*i - 3/2*i**t - 2*i**2 + i**4 + 1/2*i**5 + 0 = 0 for i.
-2, 0, 1
Let o(i) be the first derivative of -i**4/26 - 4*i**3/13 - 813. Factor o(j).
-2*j**2*(j + 6)/13
Let c(s) = -3*s**3 + 13*s**2 - s - 8. Let t(g) = 3*g + 34. Let p be t(-10). Let j be c(p). Factor 2/5*f**2 - 2/5*f**j + 0 + 2/5*f - 2/5*f**3.
-2*f*(f - 1)*(f + 1)**2/5
Let b be (0 - 1)*63/(-126). Find n, given that -n + b*n**2 + 0 = 0.
0, 2
Let b(t) be the second derivative of -t**7/357 + t**6/51 - 2*t**5/85 + 42*t. Factor b(a).
-2*a**3*(a - 4)*(a - 1)/17
Let a(x) be the first derivative of -x**5/10 + x**4/6 + x**3/3 - x**2 - 8*x - 6. Let y(d) be the first derivative of a(d). Factor y(h).
-2*(h - 1)**2*(h + 1)
Let i(d) be the second derivative of d**7/21 + 2*d**6/45 - 11*d**5/15 - 16*d**4/9 - 5*d**3/9 + 2*d**2 + 12*d - 3. Suppose i(c) = 0. Calculate c.
-2, -1, 1/3, 3
Let g = -42 - -44. Let v = -21 + 23. Factor g*y**2 + 0*y**2 - 2*y**v - y**2 + y + 2.
-(y - 2)*(y + 1)
Let j(z) = z**2 + 8*z - 18. Suppose 2*t = -5*k + 44, -4*t - t = -k - 2. Suppose i = -k + 4. Let f(b) = -b**2 + 1. Let o(p) = i*f(p) - 2*j(p). Factor o(r).
2*(r - 4)**2
Let y(d) be the first derivative of -2*d**3/3 - 2*d**2 - 2*d + 6. Factor y(r).
-2*(r + 1)**2
Suppose -2*x = 3*x. Suppose -226*y = -284*y. Factor x + 0*u**2 + 1/7*u + 1/7*u**5 - 2/7*u**3 + y*u**4.
u*(u - 1)**2*(u + 1)**2/7
Suppose -4*f = -2*f + 12. Let h(o) = -o**3 - 7*o**2 - 5*o + 8. Let w be h(f). Factor 4 - 3*g + 36*g**w + 2*g**4 - 42*g**2 + 2*g**3 + g.
2*(g - 1)**2*(g + 1)*(g + 2)
Let u(x) be the second derivative of 63*x**5/20 - 29*x**4/4 + 2*x**3 + 6*x**2 - 6*x - 4. Suppose u(i) = 0. What is i?
-2/7, 2/3, 1
Suppose -7 = -4*j + 5. Determine c so that c**5 + j*c**5 + 6*c**4 - 11*c**3 + 2*c**4 - c**3 = 0.
-3, 0, 1
Factor 4/3*w**2 - 8/3*w + 16/9 - 2/9*w**3.
-2*(w - 2)**3/9
Let b = -11773/13 + 905. Let f = 66/65 + b. Factor -f*w + 4/15 + 2/15*w**2.
2*(w - 2)*(w - 1)/15
Suppose -5*t - 2*t = 28. Let p(r) = 6*r + 26. Let f be p(t). Factor 1/2*d**f + 0*d + 0 + 1/2*d**3 - 1/2*d**5 - 1/2*d**4.
-d**2*(d - 1)*(d + 1)**2/2
Factor -2*n**3 - 183*n**2 - 7*n**3 + 302*n**4 + 189*n - 299*n**4.
3*n*(n - 9)*(n - 1)*(n + 7)
Let f(z) be the second derivative of 0 - z**4 - 39/20*z**5 + 0*z**2 + 0*z**3 - 3/10*z**6 + 45*z. Determine t so that f(t) = 0.
-4, -1/3, 0
Let r(o) be the first derivative of -o**3/15 + 22*o**2/5 - 43*o/5 + 100. Solve r(n) = 0 for n.
1, 43
Let u(w) = -w**2 + 29*w + 10. Let x(k) = -k**2 - 1. Let j(c) = u(c) + 4*x(c). Factor j(y).
-(y - 6)*(5*y + 1)
Suppose 0 = -13*q + 50 + 15. Let u(v) be the second derivative of 0 - 3/40*v**q - 1/2*v**2 + 1/24*v**4 + 1/60*v**6 - 4*v + 1/4*v**3. Factor u(x).
(x - 2)*(x - 1)**2*(x + 1)/2
Determine q, given that -168/5*q + 18/5*q**3 + 9/5*q**2 + 144/5 - 3/5*q**4 = 0.
-3, 1, 4
Let z(v) = 4*v**3 + 312*v**2 + 324*v + 8. Let g(i) = 2*i**3 + 104*i**2 + 108*i + 3. Let d(s) = -8*g(s) + 3*z(s). Find m such that d(m) = 0.
-1, 0, 27
Find p such that 2/7*p**2 + 10/7*p + 8/7 = 0.
-4, -1
Let q(j) be the second derivative of -1/180*j**5 + 1/12*j**4 + 0 + 8*j + 5*j**2 - 1/2*j**3. Let v(b) be the first derivative of q(b). Factor v(m).
-(m - 3)**2/3
Let z be 7 + (-10)/(-10)*-3. Let i(j) be the second derivative of 0*j**2 - 8*j - 1/24*j**3 + 1/48*j**z + 0. Let i(t) = 0. Calculate t.
0, 1
Factor -6 - 7/3*a + 8/3*a**2.
(a - 2)*(8*a + 9)/3
Suppose -128*t + 17 = -126*t + 3*h, t = 4*h - 8. Factor q**2 + 0 + 0*q - q**3 - 35/4*q**t.
-q**2*(5*q + 2)*(7*q - 2)/