-1/240*v**6 + 0*v + 0*v**4 + 0*v**3 + 1/672*v**8 + 1/120*v**5 - 1/420*v**7 + 6*v**2 + 0. Factor s(r).
r**2*(r - 1)**2*(r + 1)/2
Let u(f) be the first derivative of 5*f**4/4 + 19*f**3/3 + 11*f**2/2 - 3*f + 54. Factor u(t).
(t + 1)*(t + 3)*(5*t - 1)
Let -6558 + 26*o**2 - 2916*o - 149*o**2 - 3*o**3 - 39*o**2 - 10938 = 0. Calculate o.
-18
Let w be ((-6)/(-10))/((-2)/(-10)). Factor 3*l**3 + 5*l**2 + l + w*l**3 - 4*l**3 + 2*l**3.
l*(l + 1)*(4*l + 1)
Let b be (41/(-14) + 3)*8. Let m = b + 2/21. Determine t so that -8/3*t - 8/3 - m*t**2 = 0.
-2
Let g(l) be the second derivative of -l**5/210 - l**4/21 - 4*l**3/21 - 3*l**2/2 - 2*l. Let i(w) be the first derivative of g(w). Find k, given that i(k) = 0.
-2
Let x(l) be the third derivative of l**5/15 - l**4/12 - l**3/3 - 8*l**2. Suppose x(r) = 0. What is r?
-1/2, 1
Let s(x) be the first derivative of -x**6/18 + 2*x**5/15 + x**4/4 - 2. Find i such that s(i) = 0.
-1, 0, 3
Suppose b - 4 = -2*i, -6*b + 2*b = -i + 20. Let 1/3*t**i + 0*t + 0*t**3 - 2/3*t**2 + 1/3 = 0. Calculate t.
-1, 1
Let r(n) be the second derivative of -1/36*n**4 + 5*n + 2/9*n**3 + 0 - 2/3*n**2. Let r(s) = 0. Calculate s.
2
Factor 1/2*v + 1/2*v**2 - 1.
(v - 1)*(v + 2)/2
Suppose -4*m - m = -15. Factor -3 + 2*v**m + 3 + 6*v**2 + 13*v**3.
3*v**2*(5*v + 2)
Let f(i) be the second derivative of -i + 0*i**2 + 0 - 1/6*i**4 + 1/15*i**6 + 0*i**3 + 0*i**5. What is x in f(x) = 0?
-1, 0, 1
Let m(n) be the second derivative of -1/10*n**3 + 0*n**5 + 1/10*n**4 + 0 + 4*n + 0*n**2 + 1/70*n**7 - 1/25*n**6. Solve m(p) = 0 for p.
-1, 0, 1
Let h(d) be the first derivative of 5*d**3/6 + 3*d**2/4 + 18. Solve h(q) = 0.
-3/5, 0
Let g(v) be the first derivative of -v**2 - 2/3*v**3 + 1/2*v**4 - 2 + 2*v. Find x such that g(x) = 0.
-1, 1
Let d(s) be the second derivative of -s**6/180 + s**5/60 - s**3/2 - s. Let m(f) be the second derivative of d(f). Factor m(h).
-2*h*(h - 1)
Let u be (-1)/21*9/3. Let l = u - -3/7. Factor l*q**3 + 0*q + 0*q**2 + 0.
2*q**3/7
Let n(r) be the third derivative of r**8/25200 + r**7/6300 + r**6/3600 + r**5/30 - 5*r**2. Let v(m) be the third derivative of n(m). Let v(w) = 0. What is w?
-1/2
Let v be (-6)/(-4) + 45/18. Suppose 0*x + 8 = v*x. Factor -1/2 - o - 1/2*o**x.
-(o + 1)**2/2
Let x = 125 - 374/3. Find p, given that -x*p - 1/3*p**3 + 0 - 2/3*p**2 = 0.
-1, 0
Suppose -5*s + j = -74, -56 = -4*s + 3*j + j. Let i be 24/s + 2/5. Factor 0 - 2/9*v - 2/9*v**i.
-2*v*(v + 1)/9
Let g(d) = -d**2 - 2*d + 2. Let j be (-34)/(-4) - (-1)/2. Let o(m) = -2*m**2 - 11*m + j + 2*m - 2*m**2 - 2*m**2. Let l(c) = 11*g(c) - 2*o(c). Factor l(x).
(x - 2)**2
Let r(j) = -j - 1. Let b be r(3). Let m(a) = 2*a + 8. Let d be m(b). Factor -1/3*w**2 + 0*w**3 + d*w + 0 + 1/3*w**4.
w**2*(w - 1)*(w + 1)/3
Let u(w) be the first derivative of w**4/22 + 2*w**3/11 + 2*w**2/11 - 24. Let u(j) = 0. Calculate j.
-2, -1, 0
Let d be 0/(-1 - 1)*1. Let o(h) be the first derivative of 1/3*h**3 + 0*h**2 - 1 + d*h. Suppose o(f) = 0. What is f?
0
Determine m so that 8/7 + 10*m**2 - 48/7*m = 0.
2/7, 2/5
Let q be (44/(-3))/1*-1. Let o = q + -14. Factor 1/3 + 1/3*h**3 - h**2 + o*h**4 - 1/3*h.
(h - 1)*(h + 1)**2*(2*h - 1)/3
Let o = 17/2 - 47/6. Suppose -7 = -5*b + 8. Factor -1/3 - o*w**2 + 1/3*w**5 + w**4 + 2/3*w**b - w.
(w - 1)*(w + 1)**4/3
Let h(w) = -4*w**3 - 90*w**2 - 135*w - 11. Let p(l) = -l**3 - 18*l**2 - 27*l - 2. Let r(z) = -2*h(z) + 11*p(z). Let r(n) = 0. What is n?
-3, 0
Let v(q) be the first derivative of -q**5/40 + q**4/4 - q**3 + 2*q**2 - 2*q - 8. Factor v(o).
-(o - 2)**4/8
Let p = -377/6 + 63. Find t such that 1/6*t**5 - 1/6 - p*t**4 - 1/3*t**3 + 1/3*t**2 + 1/6*t = 0.
-1, 1
Let k(r) = -r**3 - 8*r**2 + 2. Let c be k(-8). Suppose 1/5*v**3 + 1/5*v**4 + 0 - 1/5*v - 1/5*v**c = 0. What is v?
-1, 0, 1
Suppose 0 = 2*w + 1 + 3, 3*m + 4*w = 1. Let l(d) be the first derivative of 3 - 9/4*d**4 + 1/3*d + 3*d**m - 3/2*d**2. Factor l(y).
-(3*y - 1)**3/3
Let o = -19/6 + 23/6. Factor -2/3*k**2 + o*k + 0.
-2*k*(k - 1)/3
Let q = 16 + -14. Factor -z**q - 1/2 + 3/2*z.
-(z - 1)*(2*z - 1)/2
Let o = 11 - 6. Suppose -12 = -2*y - o*l - 3, -1 = -2*y + 3*l. Factor 0*d**y - 1/2*d**3 + 3/2*d - 1.
-(d - 1)**2*(d + 2)/2
Let k(a) be the third derivative of a**5/60 - a**4/6 + a**3/2 + 9*a**2. Factor k(h).
(h - 3)*(h - 1)
Suppose 0 = -0*u - 3*u + 4*d + 78, 4*u = 4*d + 104. Let a be u/8 - (-2)/(-8). Suppose g - 5*g**2 - a*g + 3*g**3 + 0*g**2 + 4*g**2 = 0. What is g?
-2/3, 0, 1
Suppose -5*v = -3*r - 4*v + 37, 4*v + 71 = 5*r. Factor -w**2 - w**2 - r*w**3 + 4*w**3.
-w**2*(7*w + 2)
Let p be (2/(-4))/(10/(-8)). Let m(l) be the first derivative of p*l**5 - 2/3*l**3 + 1/2*l**4 - 2 - l**2 + 0*l. Factor m(y).
2*y*(y - 1)*(y + 1)**2
Let f be 12*((-30)/(-4))/5. Let m = f + -71/4. Suppose m*h**2 + 0*h**3 + 0 - 1/4*h**4 + 0*h = 0. What is h?
-1, 0, 1
Let u be ((3 - 2)*3)/1. Suppose -2*y = -4*d, -4*y + 4*d - 9 = -29. Factor 0*l + y*l**u - 5*l**3 - l - 3*l**4 - l**2.
-l*(l - 1)**2*(3*l + 1)
Let g(j) be the second derivative of j**4/42 + 5*j**3/21 - 6*j**2/7 - 15*j. Find s, given that g(s) = 0.
-6, 1
Factor -3*o - 15*o**3 + 0 + 29/2*o**2 + 7/2*o**4.
o*(o - 3)*(o - 1)*(7*o - 2)/2
Let v(n) be the second derivative of n**7/252 + 7*n**6/360 + n**5/30 - n**4/3 + 2*n. Let g(c) be the third derivative of v(c). Find r, given that g(r) = 0.
-1, -2/5
Let m(s) be the second derivative of s**7/42 - s**6/10 + s**5/20 + s**4/4 - s**3/3 - 44*s. Factor m(r).
r*(r - 2)*(r - 1)**2*(r + 1)
Let o(x) be the second derivative of x**4/18 + 4*x**3/9 + 4*x**2/3 + 7*x. Factor o(i).
2*(i + 2)**2/3
Let j(b) be the third derivative of -b**6/1020 - 7*b**5/510 - 2*b**4/51 + 16*b**3/51 + 12*b**2. Find f such that j(f) = 0.
-4, 1
Suppose -8/3*j**2 - 128/9 + 2/9*j**3 + 32/3*j = 0. Calculate j.
4
Let g(b) be the first derivative of b**6/6 - b**5 + 3*b**4/4 + 3*b**3 + 14. Factor g(d).
d**2*(d - 3)**2*(d + 1)
Let h(g) = -2*g + 7. Let m be h(6). Let q be 3/5 - (-3)/m. Factor 2/5*s**5 + q + 0*s + 2/5*s**2 - 2/5*s**3 - 2/5*s**4.
2*s**2*(s - 1)**2*(s + 1)/5
Let r = -20/7 - -314/105. Let j(q) be the first derivative of r*q**3 + 6/5*q**2 - 12/5*q**4 + 2/5*q + 32/25*q**5 + 3. Determine w, given that j(w) = 0.
-1/4, 1
Factor -5*p**3 + 0*p**3 - 75*p - 8*p**2 - 45 - 4*p**2 - 23*p**2.
-5*(p + 1)*(p + 3)**2
Let j(s) be the third derivative of s**6/315 + s**5/90 - 5*s**4/252 - 2*s**3/21 + 23*s**2. Solve j(b) = 0 for b.
-2, -3/4, 1
Let t(c) be the third derivative of 1/20*c**5 + 0*c**3 + 0*c - 1/12*c**4 + 4*c**2 + 0 - 1/120*c**6. Let t(d) = 0. Calculate d.
0, 1, 2
Let n = -5 - -7. Factor -1/5*l**3 - 1/5 - 3/5*l**n - 3/5*l.
-(l + 1)**3/5
Let q = -2 - -2. Let m be q*3/9 - -5. Factor 12*z**m - 10*z**3 - 5*z**5 - 5*z**4 + 5*z**2 + 2*z + z**3.
z*(z - 1)**2*(z + 1)*(7*z + 2)
Let z(i) = -11*i + 7. Let a(r) = 17*r - 11. Let v(y) = 5*a(y) + 8*z(y). Let p be v(-1). Factor 4*g - 2*g - 2*g**3 + 0*g**3 - 4*g**2 + p.
-2*(g - 1)*(g + 1)*(g + 2)
Let f(n) be the first derivative of -1 + n - 1/4*n**2 + 1/60*n**6 - 1/20*n**5 + 0*n**4 + 1/6*n**3. Let i(a) be the first derivative of f(a). Factor i(r).
(r - 1)**3*(r + 1)/2
Let h be ((-12)/9)/(-5 - -1). Let w(t) be the first derivative of 0*t**3 + 0*t**5 - 3 - h*t**6 + t**4 + 0*t - t**2. Solve w(k) = 0 for k.
-1, 0, 1
Let b be 4/18 - 0 - 2830/(-225). Let q(v) be the first derivative of 28*v**4 + 13/2*v**2 - 1 - 20*v**3 - b*v**5 - v. Factor q(s).
-(s - 1)*(4*s - 1)**3
Solve 0*t + 0 + 0*t**2 - 21/5*t**4 - 6/5*t**3 = 0.
-2/7, 0
Let j be 2/((-5)/(-5)) - 464/(-9). Factor 8/9 + j*t**2 - 920/9*t**3 - 104/9*t + 608/9*t**4 - 128/9*t**5.
-2*(t - 2)**2*(4*t - 1)**3/9
Let z(g) = 6*g**2 - 8*g. Let f(l) = -6*l**2 + 7*l. Suppose -4 = -2*c + c. Let v(s) = c*f(s) + 3*z(s). Solve v(a) = 0 for a.
0, 2/3
Suppose -3*n + n = -10. Suppose f = -0*f + 4. Solve d**3 + 2*d**5 - d**n + d**f - 3*d**3 = 0.
-2, 0, 1
Let v(h) = 3*h**2 + 50*h + 32. Let f be v(-16). Factor -1/5*c**3 + 1/5*c**5 + 0*c + 1/5*c**4 - 1/5*c**2 + f.
c**2*(c - 1)*(c + 1)**2/5
Let h(w) be the third derivative of 1/30*w**5 + 0*w + 0 - 2*w**2 - 1/3*w**3 + 0*w**4. Find i, given that h(i) = 0.
-1, 1
Let t(m) be the first derivative of 3/10*m**4 + 0*m - 1/5*m**3 + 0*m**2 + 1 - 3/25*m**5. Let t(r) = 0. Calculate r.
0, 1
Suppose -3*w + 37 = s + 4*s, 2*s = -3*w + 31. Let o be (-5)/(-21) + 3/w. Factor 2/7*y**2 - 2/7*y - 