1/10*c**5 + 0*c**2 + 0*c. Find m such that s(m) = 0.
-1, 0, 3
Let g = -71/3 - -663/28. Let j(i) be the third derivative of 0 + 4/105*i**7 + 0*i**3 + 0*i - g*i**8 + 0*i**6 + 1/6*i**4 - 4*i**2 - 2/15*i**5. Factor j(h).
-4*h*(h - 1)**3*(h + 1)
Let y(p) be the first derivative of 7*p**3/6 + 3*p**2/20 - p/5 + 69. Factor y(t).
(5*t - 1)*(7*t + 2)/10
Let g be (-14)/(-18) + ((-119)/(-28) - 5). Let x(l) be the second derivative of g*l**3 + 0 + 1/24*l**4 + 2*l + 1/180*l**6 + 1/40*l**5 + 0*l**2. Factor x(o).
o*(o + 1)**3/6
Let z be (0/(16 + -8))/(-2). Let h(q) be the third derivative of 0 + 1/70*q**5 + 0*q**3 - 1/280*q**6 + z*q - 1/56*q**4 - 3*q**2. Suppose h(o) = 0. Calculate o.
0, 1
Factor z**3 - 9/5*z + 0 + 1/5*z**4 + 3/5*z**2.
z*(z - 1)*(z + 3)**2/5
Suppose 158*j = 159*j - 2. Let g(z) be the third derivative of 1/270*z**5 - 5/108*z**4 + 0*z + 1/90*z**6 + 5*z**j - 2/27*z**3 + 0. Solve g(l) = 0 for l.
-2/3, -1/2, 1
Let q = 6683/20 - 334. Let a(m) be the first derivative of 0*m + 0*m**2 + q*m**5 + 5 - 3/8*m**4 + 1/4*m**3. Solve a(z) = 0 for z.
0, 1
Let t(q) = -2*q**2 + 31*q - 15. Let g be t(15). Let h(c) be the first derivative of g*c**5 - 1/2*c**2 + 0*c + 1/2*c**4 + 0*c**3 + 1 - 1/6*c**6. Factor h(l).
-l*(l - 1)**2*(l + 1)**2
Factor 2/7*c - 1/7*c**4 + 0*c**2 - 2/7*c**3 + 1/7.
-(c - 1)*(c + 1)**3/7
Let t(j) be the third derivative of -3*j**6/10 - 2*j**5 - 37*j**4/24 - j**3/2 - 9*j**2 - 25*j. Find b, given that t(b) = 0.
-3, -1/6
Let t be ((-474)/(-120) + -4)/((-9)/2). Let v(k) be the second derivative of -2*k + 0*k**3 + 0*k**4 + 0*k**2 - t*k**6 + 0 + 0*k**5 - 1/126*k**7. Factor v(x).
-x**4*(x + 1)/3
Factor 132/5*w - 72/5 + 3*w**3 - 74/5*w**2 - 1/5*w**4.
-(w - 6)**2*(w - 2)*(w - 1)/5
Suppose 10*w = 102 - 72. Let l(m) be the third derivative of 0*m + 0 - m**2 + 1/6*m**4 - 1/30*m**5 + 0*m**w. Let l(p) = 0. Calculate p.
0, 2
Let g(m) be the second derivative of -2*m**6/5 + 4*m**5/5 + 5*m**4/9 - 8*m**3/3 + 8*m**2/3 + 4*m - 10. Find z such that g(z) = 0.
-1, 2/3, 1
Let z(c) be the third derivative of c**6/480 + c**5/240 - c**4/96 - c**3/24 + 58*c**2. Let z(i) = 0. What is i?
-1, 1
Let r(a) be the third derivative of -1/30*a**6 - 17*a**2 - 1/15*a**5 + 0*a**3 + 0 + 0*a + 1/3*a**4. Determine i, given that r(i) = 0.
-2, 0, 1
Let v(k) be the first derivative of 5*k**6/14 - 9*k**5/35 - 81*k**4/28 - 25*k**3/7 - 9*k**2/7 + 110. Solve v(x) = 0 for x.
-1, -2/5, 0, 3
Factor -3*h - 1/2*h**4 + 0 + 2*h**3 - 1/2*h**2.
-h*(h - 3)*(h - 2)*(h + 1)/2
Let l = -898 - -903. Let t(j) be the first derivative of 2/9*j**3 - 1/2*j**2 - 1/18*j**6 + 2 + 0*j**l + 1/3*j**4 - 2/3*j. Factor t(m).
-(m - 2)*(m - 1)*(m + 1)**3/3
Let v = -88 + 82. Let s be ((-8)/v)/(85/357). Factor -4/5*q**4 - 36/5*q**2 - s*q - 8/5 - 4*q**3.
-4*(q + 1)**3*(q + 2)/5
Let g(r) = -3*r - 19. Let c be g(-9). Let -20*b - c - 35*b**3 + 13*b**3 + 64*b**2 - 14*b**3 = 0. What is b?
-2/9, 1
Let g(s) = -3*s - 29. Let j be g(-11). Suppose 6*r = 3*r + 2*t + 2, 0 = -2*r + 4*t + j. Solve r - 2/3*l**2 + 1/3*l**4 + 0*l + 1/3*l**3 = 0 for l.
-2, 0, 1
Let k(c) = 11*c + 69. Let g be k(-6). Solve 15 - 127*y - 2*y**2 - g*y**2 + 137*y = 0.
-1, 3
Suppose 23*o = 27*o - 48. Suppose 24*l = 28*l - o. Find b, given that 0 - 5/3*b**l + 4/3*b**5 - b**4 + 1/3*b + b**2 = 0.
-1, -1/4, 0, 1
Suppose 0 = 2*h - 2*h + 3*h. Determine n, given that -4*n**5 + h*n**5 + 8*n**3 - 4*n + 0*n = 0.
-1, 0, 1
Let w be 2*4*(-35)/(-40). Factor 5*q**5 + 0*q - w*q**3 + 2*q**3 + 0*q.
5*q**3*(q - 1)*(q + 1)
Let y(f) = 2*f - 9. Let b be y(-17). Let k = b + 46. Let 0 - 2/7*x**2 + 0*x + 2/7*x**4 + 2/7*x**k - 2/7*x**5 = 0. Calculate x.
-1, 0, 1
Let c(k) = -k**3 - 40*k**2 - 231*k + 2. Let w be c(-33). Factor -30/11*l**w + 32/11 + 18/11*l**3 - 16/11*l.
2*(l + 1)*(3*l - 4)**2/11
Suppose -3*i + 42 = 438. Let b be 2*(i/8)/(-3). Solve -3*m**3 + 4*m**2 + b*m - 5*m**3 - 2*m**2 - 2 - 3*m = 0 for m.
-1, 1/4, 1
Let p(z) = 25*z**2 - z. Let f be p(-1). Let n be 36/45 - f/70. Determine h, given that 0 + n*h**3 - 3/7*h**5 - 3/7*h**4 + 3/7*h**2 + 0*h = 0.
-1, 0, 1
Let s(n) be the third derivative of n**5/270 + 11*n**4/108 - 26*n**3/27 + 38*n**2 + n. Solve s(k) = 0 for k.
-13, 2
Let z(f) be the first derivative of -f**6/18 + 23*f**5/15 - 139*f**4/12 + 29*f**3/9 + 286*f**2/3 - 484*f/3 + 39. Let z(w) = 0. What is w?
-2, 1, 2, 11
Suppose 2*u + 5*c - 57 = 0, 5*u - c = 3*c + 93. Let o be 8/(-28) - (-90)/u. Let -4*s - 6*s + 2*s**2 + 4*s + o = 0. Calculate s.
1, 2
Let i(q) be the second derivative of -20/3*q**3 - 10*q + 1/2*q**5 + 1/6*q**6 - 5/3*q**4 + 0*q**2 + 0. Solve i(m) = 0 for m.
-2, 0, 2
Factor 9/7*g**4 - 12/7*g**3 + 3/7*g**5 + 0 + 0*g**2 + 0*g.
3*g**3*(g - 1)*(g + 4)/7
Let j = 20212 - 60635/3. Factor -2/3*n + j + 2/3*n**3 + 0*n**2 - 1/3*n**4.
-(n - 1)**3*(n + 1)/3
Suppose 4*y + 2*k = -2, 0 = 2*y - 3*k + 267 - 286. Factor -30/11*w + 42/11*w**y - 12/11.
6*(w - 1)*(7*w + 2)/11
Suppose -5*p**3 + 15/2*p**2 - 5 + 15/2*p = 0. What is p?
-1, 1/2, 2
Let b(z) be the second derivative of -z**7/5040 - z**6/360 - z**5/80 - z**4/3 + 6*z. Let j(o) be the third derivative of b(o). Factor j(g).
-(g + 1)*(g + 3)/2
Let b(j) = j**3 + 4*j**2 - 2*j - 6. Let v = -25 - -21. Let f be b(v). Let 16*c**4 + 0*c**3 - 3*c + c - 15*c**4 - 1 + f*c**3 = 0. What is c?
-1, 1
Let v(d) be the second derivative of -d**7/14 - d**6/2 - 9*d**5/10 + d**4/2 + 7*d**3/2 + 9*d**2/2 - 13*d - 1. Factor v(j).
-3*(j - 1)*(j + 1)**3*(j + 3)
Let f be 0/(168/(-216) - 2/9). Let n be (2/6)/(1/9). Factor -2/17*o**4 + f + 2/17*o**2 + 0*o**n + 0*o.
-2*o**2*(o - 1)*(o + 1)/17
Let j(a) = a. Let w(r) = -2*r**2 - 18*r - 18. Let z be (-14)/4*(-24)/14. Suppose 4*f = 5*f + z. Let d(l) = f*j(l) - w(l). Let d(s) = 0. Calculate s.
-3
Let j(s) be the second derivative of s**5/110 + s**4/66 - s**3/33 - s**2/11 - 16*s. Solve j(b) = 0 for b.
-1, 1
Let c be (-1*0/1)/(828/(-414)). Factor c*g + 0 + 2/3*g**3 - 2/3*g**2.
2*g**2*(g - 1)/3
Let b(q) be the second derivative of 1/5*q**3 - 1/4*q**4 + 0*q**2 + 3/25*q**5 + 0 + 42*q - 1/50*q**6. Factor b(z).
-3*z*(z - 2)*(z - 1)**2/5
Let d be ((-2)/(-3 - -5))/(-1). Let o be (d/(5/(-3)))/(153/(-102)). Factor 0*i + 0 - o*i**2.
-2*i**2/5
Factor 56/17*w**2 + 2/17*w**3 + 0 + 54/17*w.
2*w*(w + 1)*(w + 27)/17
Let w(h) be the second derivative of h**6/540 + h**5/90 - h**4/27 - 47*h**2/2 - 3*h - 10. Let f(d) be the first derivative of w(d). Solve f(o) = 0.
-4, 0, 1
Let c(f) be the third derivative of f**6/1620 + f**5/540 - f**4/18 - 4*f**3/3 + f**2. Let o(h) be the first derivative of c(h). Factor o(z).
2*(z - 2)*(z + 3)/9
Let n(s) be the first derivative of 0*s + 2/21*s**3 + 1/7*s**2 - 1/7*s**4 - 5. Solve n(j) = 0 for j.
-1/2, 0, 1
Let q = 53 + -6. Let -8*u**2 - 63*u + 32 + q*u - 3*u**3 + 7*u**3 = 0. Calculate u.
-2, 2
Let y(r) be the third derivative of r**10/60480 - r**8/13440 + 19*r**4/24 + 5*r**2. Let q(u) be the second derivative of y(u). Factor q(n).
n**3*(n - 1)*(n + 1)/2
Let f(w) = 2*w**2 + 103*w - 257. Let v(b) = b**2 + 34*b - 86. Suppose 10 = -2*y, 3*g - 1 = -2*y + 7. Let d(a) = g*f(a) - 17*v(a). Factor d(p).
-5*(p - 4)**2
Let j = 94601404521/32910745133 - -2/27176503. Let q = j + -3/173. Solve 16/7*a**5 + 0*a + 0 + 4/7*a**2 + q*a**3 + 32/7*a**4 = 0 for a.
-1, -1/2, 0
Find q such that 51/5*q**3 - 3/5*q**4 - 234/5*q**2 - 264/5 + 84*q = 0.
2, 11
Let j(u) be the second derivative of -u**6/210 + 11*u**5/70 - 97*u**4/84 - 44*u**3/7 - 72*u**2/7 + 60*u. Suppose j(w) = 0. What is w?
-1, 12
Suppose -62/5*l**3 + 14*l**4 + 8/5*l + 0 - 16/5*l**2 = 0. Calculate l.
-2/5, 0, 2/7, 1
Factor 288 - 24*z + 1/2*z**2.
(z - 24)**2/2
Let 17/6*b**4 - 128/3 + 239/6*b**2 - 1/12*b**5 - 319/12*b**3 + 80/3*b = 0. What is b?
-1, 1, 2, 16
Let b = -4669/10 + 467. Let s(t) be the second derivative of -9*t - 1/6*t**4 + 0 - 1/3*t**3 + t**2 + b*t**5. Factor s(g).
2*(g - 1)**2*(g + 1)
Suppose -2*h**4 + 0*h**4 - h**5 - 10*h**5 + 12*h**5 = 0. What is h?
0, 2
Suppose 0*h + h = 4. Let q be 0 + -1 - (h - 22/4). What is i in -9/2 - q*i**3 + 5/2*i**2 - 3/2*i = 0?
-1, 3
Suppose 9*h - 10*h = 49*h - h. Factor h + 0*o - 1/2*o**2.
-o**2/2
Factor 146/11*u**2 + 6/11*u**3 - 1690/11 + 754/11*u.
2*(u + 13)**2*(3*u - 5)/11
Suppose 0 + 3 = 5*w - 3*r, 5*r = -w - 5. Let s be (442/187)/((-1)/(-2)) - 4. Suppose w - 4/11*d + 18/11*d**2 + s*d**5 - 18/11*d**4 - 4/11*d**3 = 0. Wha