3*p. Let l(t) be the third derivative of y(t). Factor l(x).
2*(x - 1)**3/7
Let u(w) = 3*w - 5. Let g(m) = -4*m + 6. Let l(c) = 4*g(c) + 5*u(c). Let v be l(-3). Factor 1/4*y + 5/4*y**v - 1/4 + 3/4*y**3.
(y + 1)**2*(3*y - 1)/4
Let t(l) be the third derivative of l**7/630 - l**6/360 - l**5/36 - l**4/24 + 48*l**2 - 2*l. What is p in t(p) = 0?
-1, 0, 3
Let x = 259/3 + -86. Determine p so that -4/3*p - 8/3 + 5/3*p**3 + 2*p**2 + x*p**4 = 0.
-2, 1
Let k(j) = -j - 5. Let h be k(-8). Let t(b) be the first derivative of 2*b + 1/3*b**h + 3/2*b**2 - 2. Determine v so that t(v) = 0.
-2, -1
Let j be 261/(-120) - (-3)/(-15). Let w = j + 97/24. What is f in 0 + f**2 + w*f**3 - 2/3*f = 0?
-1, 0, 2/5
Suppose -i + n = -n - 10, -n = 5. Let y(v) be the second derivative of -4*v + 1/12*v**4 - 1/2*v**2 + i - 1/40*v**5 + 1/12*v**3. Determine l so that y(l) = 0.
-1, 1, 2
Let i(y) = 10*y**5 - 30*y**4 - 80*y**3 - 45*y**2 - 20*y. Let m(s) = -s**5 + s**3 - s**2. Let a(g) = i(g) + 15*m(g). Factor a(j).
-5*j*(j + 1)**2*(j + 2)**2
Let q(b) be the second derivative of b**6/135 + b**5/30 + b**4/54 - b**3/9 - 2*b**2/9 + 15*b. Factor q(r).
2*(r - 1)*(r + 1)**2*(r + 2)/9
Suppose -18*j = -23*j + 10. Factor 2/3 + 5/3*r**3 + 7/3*r**4 - 5/3*r - 3*r**j.
(r - 1)*(r + 1)**2*(7*r - 2)/3
Let o(n) be the third derivative of -5*n**8/336 - n**7/42 + n**6/12 + n**5/6 - 5*n**4/24 - 5*n**3/6 - 27*n**2. Factor o(k).
-5*(k - 1)**2*(k + 1)**3
Suppose -2*c + 7 = 3. Let d(u) be the second derivative of -u + 1/15*u**3 + 0 - 2/5*u**c + 1/30*u**4. Find p such that d(p) = 0.
-2, 1
Factor 0 - 18/11*j + 12/11*j**2 - 2/11*j**3.
-2*j*(j - 3)**2/11
Suppose 2*x - 8 = -4. Suppose 0 = 3*u - 3*l - 6, -2*l = 2*u + 3*l - 18. Determine y, given that 4*y**x - 2*y**2 + y**5 - 6*y**4 - y + u*y**4 = 0.
-1, 0, 1
Find d such that 1/5 + 1/5*d**2 + 2/5*d = 0.
-1
Let i be (-3 - (-20)/6)/(-1 - -2). Let 1/3*o**2 + 0 + i*o = 0. Calculate o.
-1, 0
Suppose 2*v - 8 = -2*v. Let z be (2 - v) + 4 + -1. What is x in 2*x**2 + 0*x**3 + x + 0*x**3 - 2*x - x**z = 0?
0, 1
Let t(y) = y**3 + 5*y**2 - 3*y - 5. Let r be t(-5). Factor -26*c - 4*c**2 + r*c - 6 - 10.
-4*(c + 2)**2
Let f(t) be the third derivative of -6*t**2 + 1/24*t**4 + 0*t + 0 - 1/60*t**5 - 1/18*t**3 + 1/360*t**6. What is r in f(r) = 0?
1
Let k = 9 + -7. Determine z, given that -2*z + 2*z**4 - 9*z**2 + 2*z**3 + 7*z**k + 0*z**3 = 0.
-1, 0, 1
Let i(n) = -n + 6. Let y be i(6). Let c be (-10)/(-35)*(-3)/90*-21. Find v such that y + 0*v - c*v**2 = 0.
0
Let g(y) = -6*y**2 + 5*y + 1. Let q(k) = k - 14. Let h be q(9). Let p(a) = 5*a**2 - 4*a - 1. Let v(n) = h*p(n) - 4*g(n). Factor v(x).
-(x - 1)*(x + 1)
Let p(c) be the third derivative of c**8/1344 + c**7/168 + c**6/48 + c**5/24 + 5*c**4/96 + c**3/24 + 6*c**2. Factor p(z).
(z + 1)**5/4
Let d be 4/(-5)*5/(-2). Let l be (10/12)/(80/(-15) - -7). Factor -n + 0*n**d - l + n**3 + 1/2*n**4.
(n - 1)*(n + 1)**3/2
Suppose 0*w**2 + 0*w - 4*w**4 - 4/5*w**5 - 16/5*w**3 + 0 = 0. Calculate w.
-4, -1, 0
Let y = -15210 + 60319/4. Let n = y + 131. What is s in 1/4*s**5 + 1/2*s**3 - 1/2*s**2 - 3/4*s + n*s**4 - 1/4 = 0?
-1, 1
Let q(n) = -n**3 - n**2 - n. Let c(k) = 2*k**3 - 74*k**2 + 322*k. Let u(m) = -c(m) + 2*q(m). Factor u(v).
-4*v*(v - 9)**2
Let h(n) be the first derivative of -1/6*n**3 + 1 + 1/10*n**5 + 0*n**2 - 1/12*n**6 + 1/8*n**4 + 0*n. Solve h(g) = 0.
-1, 0, 1
Let v(j) be the first derivative of -2*j**6/3 - 12*j**5/5 - 2*j**4 + 8*j**3/3 + 6*j**2 + 4*j + 10. Solve v(b) = 0.
-1, 1
Suppose 0 = 3*y + 36 - 12. Let i be (y/2)/(36/(-6)). Let -i - 1/3*t**3 + t + 0*t**2 = 0. What is t?
-2, 1
Let a(c) be the second derivative of 1/12*c**4 + 0 + 0*c**2 + 2*c - 1/20*c**5 + 0*c**3. Suppose a(x) = 0. Calculate x.
0, 1
Let o be 1 - (-10)/144*-14. Let v(w) be the third derivative of o*w**4 + 0*w - 1/90*w**5 + 2*w**2 + 0 + 0*w**3. What is i in v(i) = 0?
0, 1
Let o(j) = j**4 - j**3 - j**2 - 1. Let l(b) = -b**5 + 4*b**4 - 11*b**3 + 5*b**2 + 3*b - 18. Let w(x) = 2*l(x) - 18*o(x). Determine n, given that w(n) = 0.
-3, -1, 1
Suppose s = -4*s - 630. Let k be (27/s)/(4/(-42)). Let 0 - 7/4*j**3 + k*j**2 - 1/2*j = 0. Calculate j.
0, 2/7, 1
Let l be 3 + 92/(-16) + 4. Let t(n) be the first derivative of 9/8*n**4 + 0*n - l*n**6 + 0*n**2 + 2/5*n**5 + 1/3*n**3 + 1. What is d in t(d) = 0?
-2/5, -1/3, 0, 1
Let u(n) be the second derivative of 0*n**5 - 1/60*n**6 + 3*n + 0 + 1/12*n**4 + n**2 + 0*n**3. Let m(k) be the first derivative of u(k). Factor m(l).
-2*l*(l - 1)*(l + 1)
Factor -3/4*u**3 + 3*u**2 + 3/2 - 15/4*u.
-3*(u - 2)*(u - 1)**2/4
Let u(n) be the first derivative of 3/4*n**2 + 1 - 1/3*n**3 + n. Suppose u(i) = 0. Calculate i.
-1/2, 2
Let v(y) = 6*y**4 + 24*y**3 + 44*y**2 + 20*y - 4. Let f(p) = -6*p**4 - 25*p**3 - 43*p**2 - 19*p + 3. Let g(n) = 4*f(n) + 3*v(n). Factor g(c).
-2*c*(c + 2)**2*(3*c + 2)
What is v in 84*v**2 + 72*v + 0 + 25/2*v**3 + 1/2*v**4 = 0?
-12, -1, 0
Let w(a) be the second derivative of -a**10/181440 + a**9/45360 - a**7/7560 + a**6/4320 + a**4/3 + 5*a. Let y(g) be the third derivative of w(g). Factor y(s).
-s*(s - 1)**3*(s + 1)/6
Let t be (-3 - -1)*1*(0 - 1). Determine w so that 0 - 2/9*w + 2/9*w**t = 0.
0, 1
Suppose -4*l - 1 = -17, -4*r - l - 4 = 0. Let w be (24/30)/(r/(-20)). Find y, given that -125*y**3 - 52*y - w - 87*y**2 - 63*y**2 + 0*y - 8*y = 0.
-2/5
Let x(i) be the second derivative of 4*i**7/21 - 13*i**6/15 + 3*i**5/2 - 7*i**4/6 + i**3/3 - 7*i. Find r, given that x(r) = 0.
0, 1/4, 1
Let u = 3 - 3. Let s(j) be the first derivative of 2 + 0*j**2 + 1/12*j**4 + 0*j + u*j**3. Factor s(v).
v**3/3
Determine r, given that -2/5*r**2 - 4/15*r + 2/15*r**5 + 0 + 2/15*r**3 + 2/5*r**4 = 0.
-2, -1, 0, 1
Solve 1/2*q + 3/2*q**3 + 0 + 1/2*q**4 + 3/2*q**2 = 0.
-1, 0
Suppose 2 = 2*c - 2. Factor -7 + 13*t + c*t**4 - 6*t**2 - 2*t**3 + 3 - 3*t.
2*(t - 1)**3*(t + 2)
Let b(w) be the first derivative of 0*w**5 + 1/180*w**6 - 2 - 1/3*w**3 + 0*w + 0*w**2 - 1/12*w**4. Let f(r) be the third derivative of b(r). Factor f(t).
2*(t - 1)*(t + 1)
Let b(u) = 2*u**2 + u + 7. Let x(w) = -w - 1. Let t(h) = h**3 + 7*h**2 + 7*h + 5. Let l be t(-6). Let f(k) = l*b(k) - 5*x(k). Factor f(c).
-2*(c - 1)**2
Factor -7*c**2 + 3*c**2 - 6*c - 5*c + 3*c.
-4*c*(c + 2)
Suppose -1/6*t**3 + 0 - 1/3*t**4 + 1/3*t**2 + 1/6*t**5 + 0*t = 0. Calculate t.
-1, 0, 1, 2
Let i = 84 - 423/5. Let d = i + 21/10. Factor -d*q**2 - 9/2*q**3 + 9/2*q + 3/2.
-3*(q - 1)*(q + 1)*(3*q + 1)/2
Let h = 817/542 + -2/271. Let n(q) be the first derivative of 0*q + 2 - h*q**2 - 3/4*q**4 + 2*q**3. Let n(a) = 0. Calculate a.
0, 1
Let u(m) be the third derivative of m**7/420 - m**6/180 - 5*m**3/6 - 3*m**2. Let c(i) be the first derivative of u(i). Solve c(d) = 0 for d.
0, 1
Let z(x) be the third derivative of -x**8/80640 + x**7/20160 - x**5/20 - x**2. Let y(n) be the third derivative of z(n). Factor y(g).
-g*(g - 1)/4
Factor -1/5*g**5 + 19/5*g - 2/5*g**4 + 4*g**2 + 6/5 + 6/5*g**3.
-(g - 3)*(g + 1)**3*(g + 2)/5
Suppose 3*d - 39 - 57 = 0. Suppose -4*c + c - d = -5*k, 8 = -3*k - 5*c. Let -4*j**3 - 2/3*j**5 - 2/3*j + 0 + 8/3*j**2 + 8/3*j**k = 0. What is j?
0, 1
Let o(h) = -9*h**4 + 3*h**3 + 6*h**2 + 6*h - 6. Let k(j) = 26*j**4 - 8*j**3 - 17*j**2 - 17*j + 17. Let v(d) = -6*k(d) - 17*o(d). Factor v(a).
-3*a**3*(a + 1)
Suppose -30 = -3*g - 12*g. Factor 2/3 + 2*f - 2/3*f**5 - 4/3*f**3 + 4/3*f**g - 2*f**4.
-2*(f - 1)*(f + 1)**4/3
Let v = 10/3 + -19/6. Let k(g) be the second derivative of -9/20*g**5 + 1/6*g**7 + 0 + 1/3*g**3 + v*g**6 - 5/12*g**4 + 0*g**2 + 2*g. Factor k(w).
w*(w - 1)*(w + 1)**2*(7*w - 2)
Let i = -419/3 + 140. Solve 2/3 - 1/3*t**2 + i*t = 0.
-1, 2
Let w be 16/5 + 11/(-55). Determine v so that -3*v**3 - 3*v**w + 68*v**5 + 54*v**5 - 40*v**2 + 140*v**4 - 24*v**5 + 8*v = 0.
-1, 0, 2/7
Let l(p) be the first derivative of p**7/14 - p**6/5 + 3*p**5/20 - 2*p - 4. Let f(v) be the first derivative of l(v). Let f(w) = 0. Calculate w.
0, 1
Suppose -6 = 3*o - 3*x, -4*o + x = -7 - 0. Factor 2*q - 1 - 2*q**o + 0*q**4 + q**4 + 0*q**4.
(q - 1)**3*(q + 1)
Suppose 40*g = -11*g. What is m in -2/7*m**4 + g*m**2 - 8/7*m + 6/7*m**3 + 0 = 0?
-1, 0, 2
Let a(b) = b**2 - 9*b + 5. Let u be a(8). Let c = u + 6. Determine l so that l + l**5 + c*l**4 + 6*l**3 - 2*l**4 + 4*l**2 + 3*l**4 = 0.
-1, 0
Suppose 0 - 2/5*y**3 + 2/5*y**5 + 0*y - 2/5*y**2 + 2/5*