nd derivative of -k**7/4200 + k**6/200 - 9*k**5/200 - 3*k**4/4 - 8*k. Let d(m) be the third derivative of u(m). Factor d(q).
-3*(q - 3)**2/5
Let s(m) be the first derivative of m**8/224 + m**7/70 + m**6/80 - 3*m**2/2 - 2. Let l(v) be the second derivative of s(v). Factor l(u).
3*u**3*(u + 1)**2/2
Suppose 18 = -5*o + 2*o. Let y(g) = g**2 - 2*g + 4. Let w(v) = -2*v + 4. Let p(i) = o*w(i) + 4*y(i). Factor p(h).
4*(h - 1)*(h + 2)
Let m(a) = -a**3 - 27*a**2 + 2*a + 56. Let o be m(-27). Solve 0 + 1/4*b**o + 1/4*b = 0.
-1, 0
Factor 0*q - 4/5*q**3 - 4/5*q**2 - 1/5*q**4 + 0.
-q**2*(q + 2)**2/5
Let t(d) = d**2 + 13*d - 4. Let o be t(-12). Let i be (-18)/27 + o/(-18). Find g such that -i*g + 0 + 2/9*g**2 = 0.
0, 1
Let s(b) be the third derivative of -b**8/840 + b**6/180 + b**3/2 - b**2. Let a(x) be the first derivative of s(x). Find r, given that a(r) = 0.
-1, 0, 1
Let y(u) be the second derivative of 1/24*u**4 + 0*u**3 - 3*u + 0 - 1/4*u**2. Suppose y(l) = 0. Calculate l.
-1, 1
Let t = 25807/7170 - -1/1434. Factor 8*o**3 - 26/5*o**2 + 0 + 4/5*o - t*o**4.
-2*o*(o - 1)**2*(9*o - 2)/5
Let f(q) be the second derivative of -q + 0*q**2 - 2/21*q**3 + 1/42*q**4 + 0. Factor f(v).
2*v*(v - 2)/7
Let q(s) be the second derivative of -s**7/189 + s**5/90 + 7*s. Factor q(r).
-2*r**3*(r - 1)*(r + 1)/9
Let d be 0 - 2 - 27/(-12). Let c = 241/4 + -60. Factor 0*n - d + c*n**2.
(n - 1)*(n + 1)/4
Let -j - 1/4*j**2 - 1 = 0. Calculate j.
-2
Let s(r) be the first derivative of -1/3*r**3 + 2 - 1/2*r**2 - 1/12*r**4 - 1/3*r. Factor s(w).
-(w + 1)**3/3
Let t be (4 - 1)*(-2)/(-12). Let w be (6/15)/((-16)/(-30)). Factor -1/4*c**5 + 3/4*c**4 - t*c**3 - 1/2*c**2 - 1/4 + w*c.
-(c - 1)**4*(c + 1)/4
Let t(f) = -f**3 - 11*f**2 + 12*f. Let b be t(-12). Suppose b = -38*o + 39*o. Find s, given that 1/3*s**2 + 0*s + o = 0.
0
Let o be -2 + ((-22)/(-4))/(31 + -29). Let d(n) = -n**3 + 4*n**2 - 3*n + 2. Let x be d(3). Solve -3/4*a + 0 + o*a**x = 0 for a.
0, 1
Let o = 85 + -85. Factor 3/4*b**2 + 3/4*b**3 - 3/4*b + o - 3/4*b**4.
-3*b*(b - 1)**2*(b + 1)/4
Let a(v) = -v - 4. Let y(q) = -8*q**3. Let w be y(1). Let z be a(w). Factor -2/13*c**3 + 6/13*c**2 + 10/13*c - 2/13*c**z + 4/13.
-2*(c - 2)*(c + 1)**3/13
Let s be (-5)/(-4) + 2/8. Let w = -629/2 - -316. Determine v so that 0 + 3/2*v + w*v**2 - s*v**3 - 3/2*v**4 = 0.
-1, 0, 1
Let l(v) be the second derivative of -v**4/54 + v**3/27 + 2*v**2/9 + 17*v. Suppose l(y) = 0. What is y?
-1, 2
Let t = 1 - -1. Determine s so that -4*s**3 + 0*s**3 + t*s**3 = 0.
0
Let d be (-572)/(-18) - 24/(-108). Factor u + 3 - u**3 + 33*u**2 - 4 - d*u**2.
-(u - 1)**2*(u + 1)
Let d be (1*-3)/(-12 + (2 - -9)). Factor 2/17*p**5 + 0*p**d + 0*p + 0 + 8/17*p**2 - 6/17*p**4.
2*p**2*(p - 2)**2*(p + 1)/17
Let r(o) = -o + 8. Let n = -1 + 8. Let x be r(n). Determine t, given that -x + 2*t**2 + 3 - t - 3*t = 0.
1
Let d(y) = -5*y - 13. Let q be d(-3). Factor 1/3*x - 1/3*x**3 + 2/3*x**4 + 1/3 - x**q.
(x - 1)**2*(x + 1)*(2*x + 1)/3
Let v(i) be the third derivative of i**8/168 + 2*i**7/105 + i**6/60 - 8*i**2. Solve v(k) = 0 for k.
-1, 0
Let s(y) be the third derivative of -3*y**2 + 0*y**3 - 1/30*y**5 + 0 + 1/6*y**4 + 0*y. Let s(j) = 0. What is j?
0, 2
Let z = 19 + -23. Let x be (6/(-8))/(z/36). Factor -x*f**2 + 15/4*f**3 - 3/2 - 3/4*f**4 + 21/4*f.
-3*(f - 2)*(f - 1)**3/4
Solve 30/7*n**2 - 6/7*n**4 + 0 - 6/7*n**5 + 18/7*n**3 + 12/7*n = 0.
-1, 0, 2
Let j(w) = 20*w**4 - 3*w**3 + 5*w**2 + 11. Let d(u) = 2*u**2 + 7*u**4 + 3 - u**3 + 0*u**3 + 1. Let q(m) = -11*d(m) + 4*j(m). Determine t so that q(t) = 0.
-2/3, 0, 1
Let t(w) be the third derivative of -w**5/300 - w**4/60 + w**3/10 + 3*w**2. Factor t(i).
-(i - 1)*(i + 3)/5
Suppose 0*p - 3*p - 3*w - 33 = 0, 0 = p + 5*w + 23. Let c be (-14)/(-3) + p/2. What is g in 0*g + 2*g**4 - c*g**2 + 0*g**3 - 4/3*g**5 + 0 = 0?
-1/2, 0, 1
Let a(b) be the third derivative of -b**7/70 + 3*b**6/40 - b**4/2 - 12*b**2. Factor a(x).
-3*x*(x - 2)**2*(x + 1)
Let i(b) = -2*b**2 - b. Let z(h) be the third derivative of -h**5/15 - h**4/24 + 4*h**2. Let d(g) = 5*i(g) - 3*z(g). Let d(f) = 0. Calculate f.
0, 1
Let l be (4/14)/(-6*3/(-126)). Factor -1/4*b**l - 1/4*b**3 + 0 + 0*b.
-b**2*(b + 1)/4
Determine c, given that 2*c**3 + 4*c**2 + 10*c - 15 + 36 - 17 + 4*c**2 = 0.
-2, -1
Let l(b) be the second derivative of b**7/3150 - b**4/6 - 8*b. Let f(i) be the third derivative of l(i). Suppose f(p) = 0. Calculate p.
0
Let j(d) be the first derivative of 3*d**3 - 51*d**2/2 + 30*d - 26. Factor j(b).
3*(b - 5)*(3*b - 2)
Let g be 6/15 + 24/15. Let o(v) be the first derivative of 1/4*v**2 - 1/12*v**3 - g + 0*v - 1/16*v**4. Find p, given that o(p) = 0.
-2, 0, 1
Let q(c) be the third derivative of 4*c**7/35 - 29*c**6/30 + 3*c**5 - 4*c**4 + 8*c**3/3 + 2*c**2. Suppose q(h) = 0. Calculate h.
1/3, 1/2, 2
Let l = 206 - 204. Factor -1/5*a - 2/5*a**l - 1/5*a**3 + 0.
-a*(a + 1)**2/5
Suppose 0 = -8*v - 8*v + 6*v. Factor 2*y + 4/3 + 2/3*y**5 - 8/3*y**3 + v*y**4 - 4/3*y**2.
2*(y - 2)*(y - 1)*(y + 1)**3/3
Let g be (-16)/40 - (-1671)/(-35). Let y = g + 49. Factor 0 + 0*a - 2/7*a**2 + 6/7*a**3 - y*a**4 + 2/7*a**5.
2*a**2*(a - 1)**3/7
Let s(i) = 17*i**3 + 3*i**2 - 17*i + 5. Let k = -19 - -27. Let g(a) = -6*a**3 - a**2 + 6*a - 2. Let v(f) = k*g(f) + 3*s(f). Factor v(n).
(n - 1)*(n + 1)*(3*n + 1)
Let v(m) be the first derivative of m**6/1980 + m**5/660 - m**3/3 - 3. Let s(x) be the third derivative of v(x). Factor s(a).
2*a*(a + 1)/11
Let x be ((-8)/(-6))/(3/27). Determine u so that 3*u + u**3 + x*u**2 + 4 + 9*u + 3*u**3 = 0.
-1
Let a be (10/(-4))/(25/(-20)). Let m = 3 - 0. Factor 4/9*i**m + 0*i**a + 2/9 - 2/9*i**4 - 4/9*i.
-2*(i - 1)**3*(i + 1)/9
Let p = 242 - 240. Let d = -27 + 109/4. Factor -m**3 + d*m**4 + 0 + 0*m + m**p.
m**2*(m - 2)**2/4
Let t(i) be the second derivative of -i**5/20 - i**4/3 - i**3/2 - 2*i - 20. Factor t(s).
-s*(s + 1)*(s + 3)
Suppose 4*g = v - 24, 4*v + 4*g + 6 = 2. Factor 8*l**5 - v*l**3 + 10*l**4 + 3*l**3 + 3*l**3.
2*l**3*(l + 1)*(4*l + 1)
Let x be ((-24)/(4 + 0))/(-2). Factor -33*d**2 + 3*d**x + 33*d**2 - 6*d**4 + 3*d**5.
3*d**3*(d - 1)**2
Let t(x) be the first derivative of x**6/90 + x**5/60 - x**4/12 - 5*x**3/18 - x**2/3 - 2*x - 6. Let n(f) be the first derivative of t(f). Factor n(d).
(d - 2)*(d + 1)**3/3
Let q(p) be the second derivative of -1/3*p**3 - 1/24*p**4 + 6*p + 0 - p**2. Suppose q(a) = 0. Calculate a.
-2
Suppose -2*j + 3*j + 3 = 0. Let u = 1 - j. Find r, given that 0*r**3 + 1/4*r**u + 1/4 - 1/2*r**2 + 0*r = 0.
-1, 1
Suppose 4*l + c + 37 = 121, -4*c = 3*l - 50. Let u be l/33 - 10/24. Factor -5/4*g - 5/2*g**2 - u - 5/4*g**4 - 1/4*g**5 - 5/2*g**3.
-(g + 1)**5/4
Let c be (-73)/(-15) - 5*14/(-525). Find d, given that 0 + 0*d - d**2 - 7/2*d**4 - 7/2*d**3 - d**c = 0.
-2, -1, -1/2, 0
Suppose -4*n + 5*h = -7, -h = 4*n + 3*h - 16. Factor 16*v - 4*v**n + 2/3*v**4 + 32/3 + 2/3*v**2.
2*(v - 4)**2*(v + 1)**2/3
Suppose -4*h + 18 = 5*h. Factor 2/3*q**2 + h*q + 4/3.
2*(q + 1)*(q + 2)/3
Suppose 0*w + 6 = w. Let r(f) = f**2 - 2 - 4*f**2 - f**2 - 520*f + 508*f. Let n(m) = 4*m**2 + 11*m + 2. Let o(a) = w*n(a) + 5*r(a). Factor o(i).
2*(i + 1)*(2*i + 1)
Let f be ((-4)/2)/((-12)/30). Suppose -15 - f = -5*r. Let 0 - 2/7*y + 2/7*y**2 + 2/7*y**3 - 2/7*y**r = 0. What is y?
-1, 0, 1
Let l(w) = -w**3 + 5*w**2 + 7*w - 6. Let o be l(6). Let k be 154/(-88) - (-2 - 0). Factor 0*m + 0*m**2 - k*m**3 + o.
-m**3/4
Let j(t) be the third derivative of t**7/1260 - t**4/12 - t**2. Let r(y) be the second derivative of j(y). Factor r(m).
2*m**2
Let t(r) be the first derivative of -r**4/12 + r**3/6 - r - 3. Let v(c) be the first derivative of t(c). Factor v(j).
-j*(j - 1)
Suppose 0 = 3*y - y - 6. Let g be 1 + -2 + 3 - y. Let u(q) = 6*q**2 - 3*q + 7. Let r(k) = -k**2 - 1. Let o(j) = g*u(j) - 5*r(j). Factor o(w).
-(w - 2)*(w - 1)
Let w(m) be the third derivative of -m**6/12 - m**5/10 + m**4 - 4*m**3/3 + m**2. Solve w(v) = 0.
-2, 2/5, 1
Factor -1/11 - 1/11*x**2 + 2/11*x.
-(x - 1)**2/11
Let z be ((-6)/15)/((-1)/5). Let o be (48/108)/(z + -1). Suppose 2/9*y**2 - o*y + 2/9 = 0. Calculate y.
1
Suppose -2*c + 3 = -c. Let k be 0*(-2 + c)*-1. Factor 2/7*l**2 - 2/7 + k*l.
2*(l - 1)*(l + 1)/7
Let h(o) be the first derivative of -o**6/3 + o**4 - o**2 + 1. Suppose h(x) = 0. What is x?
-1, 0, 1
Let k(q) be the first derivati