o).
(o - 2)*(o - 1)*(o + 1)**2/4
Let o(q) be the third derivative of -q**5/12 + 5*q**3/6 - 20*q**2. Suppose o(p) = 0. Calculate p.
-1, 1
Let f(k) be the second derivative of -2*k**7/21 - 4*k**6/15 + 2*k**4/3 + 2*k**3/3 - k. Solve f(y) = 0.
-1, 0, 1
Factor 50 - 44*m + 24*m**2 + 4*m**3 - 26 - 8*m**3.
-4*(m - 3)*(m - 2)*(m - 1)
Suppose -r = 32 - 36. Factor 1/5*j + 9/5*j**3 + j**2 + 7/5*j**r + 2/5*j**5 + 0.
j*(j + 1)**3*(2*j + 1)/5
Let z = 261 - 2087/8. Factor -1/8*a**5 + 0*a**4 + 0 + 0*a**2 + 0*a + z*a**3.
-a**3*(a - 1)*(a + 1)/8
Factor -1/8*w**3 - 1/8*w + 1/4*w**2 + 0.
-w*(w - 1)**2/8
Let d be -1 + (((-984)/81)/(-4) - 2). Let o(s) be the second derivative of 3*s + 0 + d*s**3 - 1/54*s**4 + 2/9*s**2. Factor o(x).
-2*(x - 2)*(x + 1)/9
Let w(y) be the first derivative of -2*y - 4 - 5/2*y**2 - 1/4*y**4 - 4/3*y**3. Determine z so that w(z) = 0.
-2, -1
Find y such that -5292*y - 7681 - 597*y**2 - 11795 - 4*y**3 - 17568 + 345*y**2 = 0.
-21
Let f = 2/319 + 953/638. Let 1/2*i**4 + f*i**3 - 3/2*i - 1 + 1/2*i**2 = 0. What is i?
-2, -1, 1
Factor -8/7*h**3 - 4/7*h**4 + 8/7*h + 4/7*h**2 + 0.
-4*h*(h - 1)*(h + 1)*(h + 2)/7
Let i be (2/(-4))/(10 - 430/40). Factor i*n**2 + 2/3 - 4/3*n.
2*(n - 1)**2/3
Let f(v) = 2*v**2 + 3*v - 5. Let n be f(-5). Suppose 18 = 4*b + g, -4*b + 5*g + 0*g + n = 0. Find u such that -b*u**2 - 4*u**3 + u**4 - 3*u**4 + 3*u**2 = 0.
-1, 0
Suppose 0 - 64/9*t - 4/9*t**3 + 32/9*t**2 = 0. Calculate t.
0, 4
Let t(i) = 1. Let k(f) = f**2 + 8*f + 10. Let w(p) = k(p) - 6*t(p). Let d be w(-8). Determine v so that -4/5*v**3 + 0 + 2/5*v**d + 2/5*v**2 + 0*v = 0.
0, 1
Let p(c) be the second derivative of -c + 1/5*c**2 + 0 - 1/30*c**3 - 1/15*c**4 + 3/100*c**5. Factor p(k).
(k - 1)**2*(3*k + 2)/5
Let c(v) be the third derivative of -v**5/150 + v**4/12 - 32*v**2. Factor c(h).
-2*h*(h - 5)/5
Suppose b = 7 - 3. Let o be (-6)/28 + b/8. Factor 2/7*h**2 + o*h + 0.
2*h*(h + 1)/7
Let h = 7/6 + -2/3. Let k be (-9)/(17 + -8)*(-2)/4. Factor k*b**5 - b**4 + 0*b**3 - h*b + 0 + b**2.
b*(b - 1)**3*(b + 1)/2
Suppose 0 = p - 0*p - 26. Let 0*c**5 - 5*c**5 + 16*c + 6*c**2 - c**5 - 8 + p*c**4 - 34*c**3 = 0. Calculate c.
-2/3, 1, 2
Let r(f) be the second derivative of f**10/30240 + f**9/7560 + f**8/6720 - f**4/6 - f. Let c(o) be the third derivative of r(o). Factor c(k).
k**3*(k + 1)**2
Let z = 9/7 - 11/14. Factor 0 - 1/4*k - 1/4*k**3 - z*k**2.
-k*(k + 1)**2/4
Factor -3*a - 9/2 + 3/2*a**2.
3*(a - 3)*(a + 1)/2
Let f be 4 + (5 - 2 - 4). Factor 0*t**3 + 2*t**5 + 4*t - 6*t**f - 3*t**4 + 2*t**2 + t**4.
2*t*(t - 2)*(t - 1)*(t + 1)**2
Let w(v) be the third derivative of -v**5/12 + 5*v**3/6 - 12*v**2. Factor w(r).
-5*(r - 1)*(r + 1)
Let h(g) = g**2 - 5*g. Let x(t) = -t**2 + 6*t. Let d be -5 + -2 + 3/3. Let z(c) = d*x(c) - 7*h(c). Factor z(r).
-r*(r + 1)
Suppose 8/5 + 12/5*h - 3/5*h**3 + 2/5*h**2 - 1/5*h**4 = 0. Calculate h.
-2, -1, 2
Let l be (-2*5/105)/((-2)/6). Solve -l - 2/7*v**4 + 4/7*v**2 + 0*v + 0*v**3 = 0 for v.
-1, 1
Let u(f) be the third derivative of -f**8/840 + f**6/60 + f**5/30 - f**3/3 + 3*f**2. Let v(i) be the first derivative of u(i). Let v(z) = 0. Calculate z.
-1, 0, 2
Determine v, given that -2/13*v**5 + 8/13*v**2 + 0*v**3 - 6/13*v**4 + 0*v + 0 = 0.
-2, 0, 1
Let a(i) = -4*i**4 - 4*i**3 + 8*i**2 + 4*i - 4. Let d(f) = -f**3 - f**2 + f + 1. Let u(m) = -a(m) - 4*d(m). Factor u(p).
4*p*(p - 1)*(p + 1)*(p + 2)
Let v(i) be the first derivative of -i**7/4200 - 2*i**3/3 + 2. Let h(y) be the third derivative of v(y). Find r such that h(r) = 0.
0
Let h(d) = -57*d**4 + 72*d**2 + 48*d. Let y(w) = 7*w**4 - 9*w**2 - 6*w. Let r(q) = -4*h(q) - 33*y(q). Factor r(c).
-3*c*(c - 2)*(c + 1)**2
Let u(d) be the third derivative of d**9/15120 + d**8/2240 + d**7/840 + d**6/720 - d**4/8 - 3*d**2. Let f(g) be the second derivative of u(g). Factor f(k).
k*(k + 1)**3
Suppose -f - 4 = -3*f. Suppose -z + 8*z = 0. Suppose -2/7*v**3 + 0*v**f + z + 2/7*v = 0. Calculate v.
-1, 0, 1
Suppose -5*i = -3*x + 15, 2*x = 7*x + 3*i + 9. Suppose 10/9*s**2 - 4/9*s + x = 0. What is s?
0, 2/5
Let a(m) be the second derivative of 0*m**2 - 1/33*m**4 - 1/110*m**5 + 0 + 0*m**3 + 5*m. Solve a(d) = 0 for d.
-2, 0
Let p(g) be the third derivative of g**6/180 + g**5/30 - g**4/36 - g**3/3 - 6*g**2. Let p(j) = 0. What is j?
-3, -1, 1
Suppose 4/3*j + 2*j**2 + 0 - 2/3*j**3 - 2/3*j**5 - 2*j**4 = 0. What is j?
-2, -1, 0, 1
Suppose -8/5*v**3 - 4/5*v**4 - 4/5*v**2 + 0 + 0*v = 0. Calculate v.
-1, 0
Let l(g) be the third derivative of 3*g**8/560 + 8*g**7/175 + 11*g**6/75 + 16*g**5/75 + 2*g**4/15 + 2*g**2. Factor l(h).
h*(h + 2)**2*(3*h + 2)**2/5
Let r(o) be the second derivative of o**8/5280 + o**7/1155 + o**6/1320 - o**5/330 - 5*o**4/12 + 5*o. Let k(x) be the third derivative of r(x). Factor k(y).
2*(y + 1)**2*(7*y - 2)/11
Let d(w) be the second derivative of w**5/5 - w**4/3 - 2*w**3/3 + 2*w**2 - 7*w. Find u such that d(u) = 0.
-1, 1
Let m(x) be the first derivative of x**6/27 + 14*x**5/45 + 19*x**4/18 + 50*x**3/27 + 16*x**2/9 + 8*x/9 + 43. Factor m(b).
2*(b + 1)**3*(b + 2)**2/9
Let x(z) be the third derivative of -5*z**8/1008 + z**7/18 - 19*z**6/72 + 25*z**5/36 - 10*z**4/9 + 10*z**3/9 + 7*z**2. Let x(s) = 0. Calculate s.
1, 2
Let d(f) be the first derivative of f**4/48 - f**3/6 + f**2/2 + f - 1. Let j(y) be the first derivative of d(y). Factor j(i).
(i - 2)**2/4
Suppose 5*d - 23 = 2. Factor 7*p**4 + p**5 - 2*p**3 + 3*p + 3*p**5 + 0*p - 8*p**2 + 1 - d*p.
(p - 1)*(p + 1)**3*(4*p - 1)
Factor 3*g**5 - 6*g**4 - g**3 + 3*g**3 + g**3.
3*g**3*(g - 1)**2
Let j(x) be the first derivative of -1/2*x**2 - 2*x + 1/3*x**3 + 3. Let j(h) = 0. What is h?
-1, 2
Let a(x) = -x**2 + 5*x + 8. Let n be a(6). Suppose -k**n - 4*k**3 - 3*k**2 + 5*k**3 + 3*k = 0. Calculate k.
0, 1, 3
Let k = 95 + -189/2. Factor 1/4*g**2 - k*g**3 + 0*g + 0 + 1/4*g**4.
g**2*(g - 1)**2/4
Let g be (-3)/(-15) + (-42)/(-15). Factor 2*z**g - z**3 + 3*z**3 - 4*z**5.
-4*z**3*(z - 1)*(z + 1)
Solve -21/4*i**2 - 9/4*i**3 - 3/4 - 15/4*i = 0 for i.
-1, -1/3
Let v = -1 - 7. Let i = v - -8. What is l in -4/7*l**2 + i + 0*l + 6/7*l**3 - 2/7*l**4 = 0?
0, 1, 2
Factor -s**4 - 2*s**2 + 0*s**3 + 4*s**2 + 0*s**3 + s**3.
-s**2*(s - 2)*(s + 1)
Suppose -6*p = -3*p. Let f(l) be the third derivative of 0*l**3 + 0*l**4 + 1/240*l**5 - 1/240*l**6 + 1/840*l**7 + 2*l**2 + 0*l + p. Let f(q) = 0. What is q?
0, 1
Suppose 3*r + 2*r = -4*z - 4, 2*z + 2 = 3*r. Factor r*i + 1/2*i**3 + 0 + 1/2*i**2.
i**2*(i + 1)/2
Let a(t) = t**2 + 6*t - 36. Let o be a(-10). Let y = -6 - -10. What is w in w + 0*w + w**4 + 2*w**5 - 3*w + y*w**2 - 5*w**o = 0?
-1, 0, 1
Factor 4/7*x - 4/7*x**3 + 0*x**2 - 2/7*x**4 + 2/7.
-2*(x - 1)*(x + 1)**3/7
Let f(g) = -g**3 - 3*g**2 - 3*g - 1. Let y(b) = -b**3 - 5*b**2 - 7*b - 3. Let v(s) = 5*f(s) - 3*y(s). Factor v(n).
-2*(n - 2)*(n + 1)**2
Factor -2/3 + 6*q - 18*q**2 + 18*q**3.
2*(3*q - 1)**3/3
Let f(x) be the third derivative of 3*x**2 + 0*x + 1/180*x**5 + 0 + 1/9*x**3 - 1/24*x**4. Factor f(i).
(i - 2)*(i - 1)/3
Let c(y) = -y**3 + 13*y**2 - y + 18. Let f be c(13). Suppose 0 = f*x - 9 - 1. Find u, given that 0 + 0*u + 1/3*u**x - 1/3*u**3 = 0.
0, 1
Let u be -2 + (-2 + 4)*7/2. Factor 0*x + 0 - 2/3*x**u + 2/3*x**2 - 2/3*x**4 + 2/3*x**3.
-2*x**2*(x - 1)*(x + 1)**2/3
Let g(k) = 2*k**2 + 6*k. Let u be (9/(-15))/((-1)/5). Let f(v) = 7*v - 4 + u*v**2 + 4. Let o(d) = -4*f(d) + 5*g(d). Factor o(t).
-2*t*(t - 1)
Let j(h) be the third derivative of 7*h**6/780 - 3*h**5/130 + h**4/78 + 24*h**2. Let j(i) = 0. Calculate i.
0, 2/7, 1
Let v(s) = -s**2 - s + 2. Let b be v(1). Let f(k) be the second derivative of 5/6*k**3 + b + 2*k + 1/2*k**2 + 1/3*k**4. Find r, given that f(r) = 0.
-1, -1/4
Determine i, given that -22/7*i - 52/7*i**3 - 4*i**4 - 4/7 - 48/7*i**2 - 6/7*i**5 = 0.
-1, -2/3
Let x(z) = z**2 + 23*z - 22. Let d be x(-24). Let p(y) be the second derivative of 0 - 1/50*y**5 + 3*y - 2/5*y**d + 0*y**4 + 1/5*y**3. Factor p(f).
-2*(f - 1)**2*(f + 2)/5
Let m(s) be the third derivative of s**2 + 1/210*s**5 + 0*s**3 + 0*s + 1/420*s**6 - 1/84*s**4 + 0 - 1/735*s**7. Solve m(c) = 0 for c.
-1, 0, 1
Let s(q) be the second derivative of -q**6/15 - 2*q**5/5 - q**4/3 + 4*q**3/3 + 3*q**2 + 4*q. What is v in s(v) = 0?
-3, -1, 1
Let m(i) = -8*i**4 - 9*i**3 + i**2 + 2*i + 7. Let v(u) = u**4 + u**3 - 1. Let p be (17 + -3)/((-