e of i**6/90 + i**5/15 - 5*i**4/36 - 2*i**3 - 6*i**2 - 276*i. Solve k(m) = 0.
-3, -2, 3
Let f be (-4)/36*2 + (-20)/(-9). Let n(p) be the third derivative of 0*p - 7/15*p**5 + f*p**2 + 1/3*p**4 + 4/15*p**6 - 2/35*p**7 + 0*p**3 + 0. Factor n(z).
-4*z*(z - 1)**2*(3*z - 2)
Let p be (-2 - 100/(-55)) + 105/33. Let i(c) be the second derivative of -4*c + 1/6*c**p + 0 + 0*c**2 - 1/6*c**4 + 1/20*c**5. Factor i(q).
q*(q - 1)**2
Determine h, given that -22/21 + 8/7*h**3 + 20/21*h**2 + 2/21*h**4 - 8/7*h = 0.
-11, -1, 1
Let d(m) be the second derivative of 4/195*m**6 - 1/26*m**5 + 0*m**2 + 1/39*m**4 + 0 + 14*m + 0*m**3 - 1/273*m**7. Let d(z) = 0. What is z?
0, 1, 2
Let d = -2108/5 - -422. Let v(q) be the first derivative of 4 + 0*q - 2/5*q**2 - d*q**3 - 1/10*q**4. Factor v(c).
-2*c*(c + 1)*(c + 2)/5
Let z(f) be the third derivative of -f**5/270 - 7*f**4/18 - 41*f**3/27 - 51*f**2. Factor z(t).
-2*(t + 1)*(t + 41)/9
Let r(f) be the third derivative of f**4/24 + 2*f**3/3 + 30*f**2. Let b be r(0). Solve 0 - 2/11*x**3 + 2/11*x**2 + 2/11*x**5 + 0*x - 2/11*x**b = 0 for x.
-1, 0, 1
Let t(u) be the second derivative of u**7/560 + 11*u**6/240 + 7*u**5/16 + 25*u**4/16 + 2*u**3 + 5*u. Let d(c) be the second derivative of t(c). Factor d(x).
3*(x + 1)*(x + 5)**2/2
Factor -46*d - 80 - 3521*d**3 - 4*d**4 - 12*d**2 + 3493*d**3 + 104*d + 66*d.
-4*(d - 1)**2*(d + 4)*(d + 5)
Let v = -1591 - -1594. Factor -1/2*d**5 + 0 + 0*d + 0*d**2 - 1/4*d**v - 3/4*d**4.
-d**3*(d + 1)*(2*d + 1)/4
Let r(p) = -4*p**2 - 4*p - 8. Let v(c) = -c - 1. Let h(q) = -r(q) + 12*v(q). Let m(t) = -4*t**2 + 9*t + 3. Let w(l) = 5*h(l) + 4*m(l). Factor w(z).
4*(z - 2)*(z + 1)
Let y = -306 - -310. Let s(p) be the third derivative of 1/84*p**4 + 0 + 1/42*p**5 + 0*p + 1/210*p**6 - 2/21*p**3 - y*p**2. Find d such that s(d) = 0.
-2, -1, 1/2
Determine t so that -47*t**4 - 67*t**3 + 89*t**4 - 41*t**4 = 0.
0, 67
Let w be (17 - 31 - -9) + (0 - -14). Let a(j) be the third derivative of 1/15*j**5 + 1/2*j**4 + 0 + w*j**2 + 0*j - 8/3*j**3. Factor a(c).
4*(c - 1)*(c + 4)
Let s be (6/(-21))/(6/(-14)). Let i be (-20)/(-48)*(72/30 + -2). Factor s*c - i*c**2 - 1/2.
-(c - 3)*(c - 1)/6
Let a be (-992)/(-1736) + 1/(21/(-5)). Factor 0 + 0*b + a*b**4 + 1/3*b**2 - 2/3*b**3.
b**2*(b - 1)**2/3
Suppose 0 = -2*w + 20 + 150. Let q be 4 - (-55)/2*(-12)/w. Let 0*t + 2/17*t**3 + 2/17*t**2 - q*t**5 + 0 - 2/17*t**4 = 0. Calculate t.
-1, 0, 1
Let i(g) = -1 + 4*g**3 + 4*g**2 - 12*g + 4 + 7*g. Let b(o) = -8*o**3 - 8*o**2 + 11*o - 5. Let j(c) = -3*b(c) - 5*i(c). Factor j(z).
4*z*(z - 1)*(z + 2)
Let j(r) be the first derivative of 5*r**6/21 + 12*r**5/35 - 9*r**4/14 - 4*r**3/21 + 243. Let j(p) = 0. What is p?
-2, -1/5, 0, 1
Let i = -71872/11 - -6534. Find l such that 4/11*l - i*l**5 + 6/11*l**4 - 2/11*l**3 + 0 - 6/11*l**2 = 0.
-1, 0, 1, 2
Let s(h) = -34 + 9*h**2 - 14*h**2 - 15*h + 4*h**2. Let l be s(-12). Suppose -4/7*g + 4/7*g**3 + 0 + 2/7*g**4 - 2/7*g**l = 0. Calculate g.
-2, -1, 0, 1
Factor -4/3 - 26/5*o + 8/15*o**2.
2*(o - 10)*(4*o + 1)/15
Let d = -10 + 10. Suppose -6 = -2*v - d. Find p such that 41*p**3 - 2*p**4 - 38*p**v - p**4 = 0.
0, 1
Let z = 2887/5 + -575. Let i(o) be the first derivative of -z*o**4 + 0*o + 21/25*o**5 - 3/5*o**2 - 5 + 11/5*o**3. Find j such that i(j) = 0.
0, 2/7, 1
Suppose 0 = 14*s - 42*s + 112. Let 0 + 4/7*m + 38/7*m**2 - 50/7*m**s + 80/7*m**3 = 0. Calculate m.
-1/5, 0, 2
Let a(o) be the third derivative of 18*o**2 + 1/70*o**7 + 0 - 3/20*o**5 + o**3 - 1/8*o**4 + 1/40*o**6 + 0*o. Solve a(l) = 0 for l.
-2, -1, 1
Let a(w) be the second derivative of 6*w + 0 - 5/12*w**4 - 5/2*w**2 - 5/3*w**3. Let a(r) = 0. What is r?
-1
Find h such that 8/7*h**2 - 2/21*h**3 + 100/21 - 30/7*h = 0.
2, 5
Let b(r) be the first derivative of 2*r**6/3 - 2*r**4 + 2*r**2 + 108. Solve b(a) = 0 for a.
-1, 0, 1
Let n(k) be the second derivative of -k**4/21 - 32*k**3/7 - 1152*k**2/7 - 112*k. Factor n(o).
-4*(o + 24)**2/7
Let q(w) be the second derivative of -w**4/24 - 7*w**3/12 - 3*w**2 + 74*w + 2. Suppose q(h) = 0. What is h?
-4, -3
Let i(t) be the first derivative of -3*t**4 + 8*t - 4/5*t**5 - 19 + 6*t**2 - 4/3*t**3. Determine u so that i(u) = 0.
-2, -1, 1
Let g = 90510/11 - 8226. Let -18/11*i**2 + g + 6/11*i**4 - 12/11*i**3 + 24/11*i = 0. Calculate i.
-1, 2
Let l(f) be the second derivative of f**6/15 - 13*f**5/10 + 15*f**4/2 + 25*f**3/3 - 250*f**2 + 6*f + 2. Factor l(x).
2*(x - 5)**3*(x + 2)
Let q(l) be the first derivative of l**6/30 - 2*l**5/25 - l**4/20 + 2*l**3/15 + 44. Factor q(r).
r**2*(r - 2)*(r - 1)*(r + 1)/5
Factor 31/7*q + 22/7 - 3/7*q**2.
-(q - 11)*(3*q + 2)/7
Let o = -93 + 96. Let g(b) be the first derivative of 2/27*b**3 - 2/9*b + 0*b**2 - o. Factor g(t).
2*(t - 1)*(t + 1)/9
Let a(q) be the third derivative of q**8/336 - 4*q**7/105 + 7*q**6/40 - 11*q**5/30 + q**4/3 + 2*q**2 - 160. Factor a(w).
w*(w - 4)*(w - 2)*(w - 1)**2
Let z be 30*3/84*26/36. Let m = -3/28 + z. Factor m*g**3 - 1/3*g**2 + 0*g + 0 - 1/3*g**4.
-g**2*(g - 1)**2/3
Let i(u) be the second derivative of -u**4/18 - 22*u**3/9 - 7*u**2 - 110*u - 1. Let i(f) = 0. Calculate f.
-21, -1
Let k = -685 - -685. Let i(j) be the third derivative of 0 + 1/16*j**4 - 1/8*j**3 - 1/80*j**5 - 3*j**2 + k*j. Suppose i(x) = 0. What is x?
1
Let o(j) be the first derivative of 8/5*j - 6 + 2/15*j**3 - 4/5*j**2. Solve o(u) = 0.
2
Let i(t) be the first derivative of -1/2*t**2 + 2*t + 7/12*t**3 + 4 + 3/40*t**5 - 1/3*t**4. Let p(g) be the first derivative of i(g). Factor p(a).
(a - 1)**2*(3*a - 2)/2
Let n be 1 + 4 - (-144)/(-32). Let x(k) be the first derivative of 0*k - 5 + n*k**2 + 1/4*k**4 - 2/3*k**3. Suppose x(o) = 0. What is o?
0, 1
Let w be (-375)/250 + (-21)/(-10). Let v be ((-2)/6)/(5/(-3)). Find m, given that v*m**3 + 3/5*m + w*m**2 + 1/5 = 0.
-1
Let o be 0 + (2 - 0) + (-24)/18. Let a be (-4)/(0 + (1 - 2)). Suppose 4/3*j**2 + j**3 - o*j**a - j - 2/3 = 0. Calculate j.
-1, -1/2, 1, 2
Let k = -46 - -44. Let d be (k - 1) + 3 + 2. Suppose -3/4*a - 3/2 + 3/4*a**d = 0. Calculate a.
-1, 2
Let y(l) = 5*l**3 - 655*l**2 - 735*l. Let q(f) = f**3 - 164*f**2 - 183*f. Let h(p) = -25*q(p) + 6*y(p). Factor h(x).
5*x*(x + 1)*(x + 33)
Let s be (-1 - 3/(-2)) + 0. Let l = 222 + -220. Factor 1/4*m**l + s*m + 0.
m*(m + 2)/4
Let q(t) be the first derivative of -t**2/2 - 3*t + 5. Let y be q(-7). Determine p so that -7*p - 4*p**4 + 3*p**y + 9*p**2 - 2*p**4 + p = 0.
-2, 0, 1
Let b(a) be the first derivative of 16 - 5/3*a**3 - 15*a - 25/2*a**2 + 5/4*a**4. Factor b(c).
5*(c - 3)*(c + 1)**2
Let q(m) be the second derivative of -4/7*m**3 + 8/7*m**2 - 15*m + 0 + 1/7*m**4 - 1/70*m**5. Factor q(v).
-2*(v - 2)**3/7
Let t(g) = 19*g**3 - 19*g**2 + 68*g - 68. Let s(o) = -5*o**3 + o**2 + o - 2. Let i(c) = -4*s(c) - t(c). Factor i(v).
(v - 2)**2*(v + 19)
Let m be ((-21)/(-3) - 4) + 73. Let h = m + -74. Find x such that 0*x - 1/2 + 1/2*x**h = 0.
-1, 1
Let x(n) = -281*n - 3372. Let j be x(-12). Suppose 0 + j*b**3 + 2/9*b**2 - 1/9*b - 2/9*b**4 + 1/9*b**5 = 0. Calculate b.
-1, 0, 1
Let h = 80 + -80. Let y(r) be the first derivative of -3/5*r**2 + h*r + 2/15*r**3 + 5. What is a in y(a) = 0?
0, 3
Suppose -159*g = -152*g. Solve -2/5*i**3 + 4/15*i - 2/5*i**5 - 2/5*i**2 + g + 14/15*i**4 = 0.
-2/3, 0, 1
Let i(p) = 11*p**4 - 7*p**3 - 23*p**2 - 23*p. Let x(g) = 5*g**4 - 3*g**3 - 12*g**2 - 12*g. Let b(c) = -4*i(c) + 9*x(c). Factor b(o).
o*(o - 4)*(o + 1)*(o + 4)
Let h(g) be the third derivative of 1/260*g**6 - 3*g**2 + 0 + 0*g**4 + 0*g**7 + 1/195*g**5 + 0*g + 0*g**3 - 1/2184*g**8. Let h(i) = 0. Calculate i.
-1, 0, 2
Factor 0 + 7/3*d - d**3 + 1/6*d**4 - 3/2*d**2.
d*(d - 7)*(d - 1)*(d + 2)/6
Let c = 5822/15 - 1160/3. Let y = c + 1/30. Factor d + 1/2*d**3 + 0 - y*d**2.
d*(d - 2)*(d - 1)/2
Let i = -1203 - -1206. Let n(x) be the second derivative of 75/8*x**2 + 1/16*x**4 - 5/4*x**i + 0 - 5*x. Factor n(q).
3*(q - 5)**2/4
Let l(c) = c**3 - 2*c - 1. Let f(w) = -8*w**3 - 2*w**2 + 20*w + 14. Let i(q) = -f(q) - 6*l(q). Find d such that i(d) = 0.
-2, -1, 2
Factor 69 + 96 - 14133*n + 4*n**4 + 14469*n - 36*n**3 + 8*n**2 + 123.
4*(n - 6)**2*(n + 1)*(n + 2)
Suppose -142*p + 191*p - 106 + 8 = 0. Let 1/2*m - 1/2*m**p + 0 = 0. Calculate m.
0, 1
Let b(o) = -o**4 + o**3 - 2*o**2 - 8*o. Let p(v) = v**3. Let j(f) = b(f) + 4*p(f). Factor j(z).
-z*(z - 4)*(z - 2)*(