that m*a**2 - 2/23*a**3 - 6/23 + 2/23*a = 0.
-1, 1, 3
Let j(w) be the second derivative of -841*w**7/189 + 203*w**6/27 + 1499*w**5/90 - 113*w**4/18 + 2*w**3/3 - 66*w - 2. Solve j(m) = 0 for m.
-1, 0, 3/29, 2
Let s(u) = -5*u**2 - 3. Let y(a) = 4*a**2 - 2*a + 2. Let g(v) = 2*s(v) + 3*y(v). Factor g(q).
2*q*(q - 3)
Let z = -10122 - -10122. Suppose -6*i + 9/2*i**3 - 3/4*i**5 + 3*i**2 + z - 3/4*i**4 = 0. Calculate i.
-2, 0, 1, 2
Factor -2*p**3 - 198*p**2 + p**3 - 112*p**2 - 83667*p - 120*p**2 - 71*p**2 - 4657463.
-(p + 167)**3
Let w(z) be the third derivative of -z**8/1344 - z**7/504 - 3*z**4/2 - 36*z**2. Let b(v) be the second derivative of w(v). Factor b(j).
-5*j**2*(j + 1)
Let v(x) be the third derivative of x**8/2016 - 3*x**7/28 + 135*x**6/16 - 2025*x**5/8 + 295*x**2. Factor v(j).
j**2*(j - 45)**3/6
Let i(b) be the third derivative of -7/2*b**4 + 3/10*b**5 - 4*b**3 + 19/40*b**6 + 0*b + 0 - 13*b**2 - 1/10*b**7. Let i(j) = 0. What is j?
-1, -2/7, 2
Let w(c) = -c - 8. Let z be w(13). Let n be 4*((-6)/z)/((-6)/(-7)). Determine u, given that n*u**2 - 2/3 - 2/3*u = 0.
-1/2, 1
Factor 4*y**2 + 20/7 - 44/7*y - 4/7*y**3.
-4*(y - 5)*(y - 1)**2/7
Let a(q) be the third derivative of q**5/300 + 149*q**4/30 + 44402*q**3/15 + 2*q**2 + 96. Factor a(k).
(k + 298)**2/5
Suppose 41*c - 16*c = 32*c. Solve 1/5*t**2 + 3/5*t**5 - t**3 + c - 1/5*t**4 + 2/5*t = 0 for t.
-1, -2/3, 0, 1
Let t = -3890 + 1307041/336. Let i(x) be the third derivative of 0*x**3 + 0*x + 1/8*x**6 - x**2 + 1/30*x**7 + 0 + 3/20*x**5 + 0*x**4 + t*x**8. Factor i(c).
c**2*(c + 1)*(c + 3)**2
Let n be 9 - -196*48/(-1088). Suppose n*v**2 - 2/17*v**3 + 0 + 8/17*v = 0. What is v?
-1, 0, 4
Determine d so that 25/2*d**3 - 25*d**2 + 8 - 7/4*d**5 + 23/4*d**4 - 22*d = 0.
-2, -1, 2/7, 2, 4
Let a(s) be the third derivative of s**6/360 - 4*s**5/45 - s**2 + 7*s. Factor a(u).
u**2*(u - 16)/3
Factor -8*y**3 - 2771*y + 2779*y - 7*y**4 + 3*y**4 + 4*y**2.
-4*y*(y - 1)*(y + 1)*(y + 2)
Let x = 684 + -681. Let r(s) be the second derivative of 4*s + 0 - 1/12*s**4 + 0*s**2 + 1/2*s**x. Factor r(z).
-z*(z - 3)
Let s(y) = y - 5. Let c be s(-5). Let v be 1/c - 2871/(-2310). Factor v - 8/7*q**2 + 4/7*q**3 - 4/7*q.
4*(q - 2)*(q - 1)*(q + 1)/7
Let j(o) = 3*o**2 - 8*o - 10. Let u be j(5). Determine s so that -s + 35*s**3 + u*s**4 - 25*s**2 - s - 6*s - 30*s**5 + 3*s = 0.
-1, -1/6, 0, 1
Let n(d) be the second derivative of 9*d**5/5 - 43*d**4/3 - 128*d**3/3 - 24*d**2 - 88*d - 1. Determine g, given that n(g) = 0.
-1, -2/9, 6
Factor 392/3 + 52/9*q**2 + 434/9*q + 2/9*q**3.
2*(q + 7)**2*(q + 12)/9
Suppose -8*j + 20 = -4*j + 4*o, -2*o = -5*j + 18. Solve -4*m + 2*m**2 + 24*m**4 + 0*m**2 - 26*m**j + 4*m**3 = 0 for m.
-1, 0, 1, 2
Let u(g) = -g**3 - g**2 - 114*g - 359. Let i be u(-3). Factor 3/2*w**2 - i - 1/2*w.
(w - 1)*(3*w + 2)/2
Let v be ((-184)/(-7))/4 - 2. Find t, given that -v*t**5 + 0 - 66/7*t**3 - 2/7*t - 80/7*t**4 - 20/7*t**2 = 0.
-1, -1/4, 0
Let f be (-1830)/51 - 12/102. Let j be 69*(105/f - -3). Find h such that 5*h + 7/4*h**3 - j*h**2 - 1 = 0.
2/7, 1, 2
Let m(g) be the second derivative of -g**5/240 + g**4/32 + g**3/6 + 9*g**2/2 + 19*g. Let d(k) be the first derivative of m(k). Find u such that d(u) = 0.
-1, 4
Let a(u) be the first derivative of -u**3/3 + 2*u**2 + 117. Find f, given that a(f) = 0.
0, 4
Let i be (3 - 1)*(-39)/(-312). Let l(y) be the second derivative of 0 + 5*y**2 + 0*y**4 - i*y**5 - 2*y + 5/2*y**3. Find b, given that l(b) = 0.
-1, 2
Let g(w) = -7*w**4 - 22*w**3 - 19*w**2 - 8*w + 4. Let l(u) = 8*u**4 + 23*u**3 + 17*u**2 + 7*u - 5. Let x(f) = -5*g(f) - 4*l(f). Solve x(n) = 0 for n.
-4, -1, 0
Let l(v) be the second derivative of 1/180*v**6 + 0*v**4 + 10*v + 0 + 0*v**3 + 0*v**5 + 0*v**2. Factor l(a).
a**4/6
Let y(t) be the third derivative of -t**5/330 - 5*t**4/132 + 14*t**2. Factor y(s).
-2*s*(s + 5)/11
Let a(l) = 74*l**3 + 28*l**2 - 32*l + 14. Let n(b) = -b**3 + 2*b + 1. Let m(o) = a(o) - 6*n(o). Factor m(z).
4*(z + 1)*(4*z - 1)*(5*z - 2)
Factor 1136*h**5 + 18*h**2 - 27*h - 3*h**4 - 15*h**4 - 1133*h**5 + 24*h**3.
3*h*(h - 3)**2*(h - 1)*(h + 1)
Suppose -19 = m - 3*m + 5*k, -k = -3*m + 9. Factor -24*l - 21*l**m - 3 + 24*l**3 - 15*l**3 + 7*l.
(l - 3)*(3*l + 1)**2
Let d be 25/10*16/(-5). Let w be 5/((-45)/2) + d/(-18). Factor -w*p**2 - 2/9*p + 0.
-2*p*(p + 1)/9
Let d be 6 + (0/3 - 3). Let u = 5 + -2. Factor -4*l**d + 4 + 8*l**2 - 10*l - 3*l**u + 2*l**3 + 3*l**3.
-2*(l - 2)*(l - 1)**2
Let x = -43 - -41. Let y be (-32)/144 + x/(-3). Determine j, given that y*j**3 - 8/9*j - 2/3*j**2 + 2/9*j**4 + 8/9 = 0.
-2, 1
Let j(k) = 37*k**4 + 35*k**3 - 15*k**2 - 9*k + 9. Let p(d) = 9*d**4 + 9*d**3 - 4*d**2 - 2*d + 2. Let x(f) = 2*j(f) - 9*p(f). Factor x(t).
-t**2*(t + 2)*(7*t - 3)
Factor 1/5*b**4 + 36/5*b**2 - 64/5 - 16/5*b - 11/5*b**3.
(b - 4)**3*(b + 1)/5
Let h be 8*(15/(-6) + 3). Find p, given that -p**3 + 3 + 5*p**2 + 0*p**2 - h*p - 3*p = 0.
1, 3
Let b = 18 + -14. Solve 5*o**b + 12*o - 4*o**5 + 7*o**4 - 4 - 8*o**3 + 103*o**2 - 111*o**2 = 0 for o.
-1, 1
Suppose 4*y - o + 21 = 0, 2*y - 6 = y - 2*o. Let m = y + 6. Solve -3 + a**2 - 4 - m*a + 7 = 0.
0, 2
Let u(m) = 4*m**2 + 9*m - 5. Let o(b) = 3*b**2 + 10*b - 5. Let l(z) = -7*o(z) + 6*u(z). Find j such that l(j) = 0.
1/3, 5
Let k(w) = -w**2 + w + 1. Let a(r) = -7*r**2 + 139*r - 1153. Suppose 0 = 14*i + 20 - 6. Let x(s) = i*a(s) + 3*k(s). Factor x(z).
4*(z - 17)**2
Let m be 5/500 - 0/(-1). Let z(l) be the third derivative of -m*l**5 + 0*l**4 - 1/350*l**7 + 0*l**3 + 0*l + 0 - 1/100*l**6 + 5*l**2. Factor z(k).
-3*k**2*(k + 1)**2/5
Let f(j) be the second derivative of 4*j**6/15 - 41*j**5/50 + 11*j**4/15 - j**3/15 + 137*j. Factor f(o).
2*o*(o - 1)**2*(20*o - 1)/5
Let x(m) be the second derivative of -2*m**6/15 - m**5 - 7*m**4/3 - 2*m**3 + 85*m - 6. Factor x(y).
-4*y*(y + 1)**2*(y + 3)
Factor -40 - 1064*m**2 - 7*m**3 + 30*m + 2*m**3 + 1079*m**2.
-5*(m - 4)*(m - 1)*(m + 2)
Let j be ((-3)/3 + 6)*1. Suppose -v + 7 = j. Suppose 46 + 2*n**2 - v*n**3 + 2*n**5 - 46 - 2*n**4 = 0. Calculate n.
-1, 0, 1
Factor 28*a**4 + 624*a**2 - 232*a**3 + 91 - 608*a + 75 - 38.
4*(a - 4)*(a - 2)**2*(7*a - 2)
Let p = -477 - -479. Let i(x) be the third derivative of 0 + 0*x + 0*x**3 + 0*x**4 - 1/945*x**7 + 1/270*x**6 + 0*x**5 + 3*x**p. Factor i(g).
-2*g**3*(g - 2)/9
Let j(f) = 6*f**3 - 170*f**2 - 8105*f - 140601. Let y(h) = h**3 - 2*h**2 + h + 1. Let s(n) = 2*j(n) - 14*y(n). Factor s(d).
-2*(d + 52)**3
Let t(p) be the first derivative of -5*p**9/756 - p**8/60 - p**7/105 + 11*p**3/3 + 8. Let o(j) be the third derivative of t(j). Factor o(y).
-4*y**3*(y + 1)*(5*y + 2)
Factor 39*r - 3*r + 5*r**2 + 59*r - 100.
5*(r - 1)*(r + 20)
Let m be (-55)/33*(-4)/100*177. Determine u, given that -4/5 - 12/5*u + 17/5*u**2 + 69/5*u**3 + 3*u**5 + m*u**4 = 0.
-2, -1, -1/3, 2/5
Solve 36/7*n**2 - 80/7*n - 4/7*n**3 + 0 = 0.
0, 4, 5
Factor -5/2*f**3 + 27/4*f**2 - 3/4*f**4 + 0 + 5/2*f.
-f*(f - 2)*(f + 5)*(3*f + 1)/4
Let c(y) be the third derivative of -y**5/300 - y**4/15 - y**3/2 - 104*y**2. Factor c(u).
-(u + 3)*(u + 5)/5
Let l = -408 + 413. Let c(h) be the first derivative of -2*h**2 - 1/3*h**3 - 7 + 2/3*h**4 + 1/5*h**l + 4/3*h. Suppose c(b) = 0. What is b?
-2, 1/3, 1
Let j = 15245 - 15241. Factor 135*y + 145/4*y**3 + 54 + 1/4*y**5 + 225/2*y**2 + 5*y**j.
(y + 1)**2*(y + 6)**3/4
Let z(w) = -3*w**5 - 18*w**3 - 6*w**2 + 9*w - 9. Let a(t) = -t**5 - 9*t**3 - 2*t**2 + 4*t - 4. Let v(u) = -9*a(u) + 4*z(u). Factor v(r).
-3*r**2*(r - 1)**2*(r + 2)
Solve -125*h + h**4 - 231*h**3 + 5*h**4 + 14*h + 126*h**3 - 3*h**4 - 219*h**2 = 0.
-1, 0, 37
Let m(u) be the first derivative of 30 - 24*u - 27/2*u**2 - u**3. Determine z so that m(z) = 0.
-8, -1
Let v = 7141/90 + -238/3. Let m(f) be the third derivative of 1/9*f**3 + 1/180*f**6 - 1/36*f**4 + 0*f - v*f**5 + 0 + 2*f**2. Factor m(l).
2*(l - 1)**2*(l + 1)/3
Let b(g) be the second derivative of -g**6/540 + g**5/45 - g**4/12 + 10*g**3/3 - g. Let r(i) be the second derivative of b(i). Find j such that r(j) = 0.
1, 3
Suppose k = -r, -28 = -0*k - 3*k + 4*r. Let g(s) be the first derivative of -4/15*s**5 - 8/9*s**3 - 5 - 1/3*s**2 + 0*s - 5/6*s**k. Find q such that g(q) = 0.
-1, -1/2, 0
Let w(i) = i**4 + i**2 - i - 1. Let s(t) = -115254*t**4 + 32928*t**3 - 3534*t**2 + 174*t + 3. Let m(f) = s(f) + 6*w(f). Facto