tive of 0*z**3 - y*z**8 + 0*z**5 - 2/1365*z**7 + 0*z**4 + z**2 + 0 + 0*z - 1/780*z**6. Factor p(d).
-2*d**3*(d + 1)**2/13
Factor -122/17*n + 84/17 + 36/17*n**2 + 2/17*n**3.
2*(n - 2)*(n - 1)*(n + 21)/17
Let t be (-2)/7*7*(-30)/105. Determine l, given that -t*l**3 - 16/7 + 4*l - 8/7*l**2 = 0.
-4, 1
Let h = -3747 + 3751. Let -h*w**2 - 16/3*w + 8/3*w**3 + 16/3 + 4/3*w**4 = 0. Calculate w.
-2, 1
Let o be ((-5)/(7 + 18))/(2/(-2)). Let w(y) be the second derivative of 4*y**2 + 1/15*y**6 - 1/2*y**4 - o*y**5 + y + 4/3*y**3 + 0. Factor w(z).
2*(z - 2)**2*(z + 1)**2
Let j(l) be the third derivative of 5*l**8/1008 - 2*l**7/63 + 5*l**6/72 - l**5/18 + 23*l**2. Solve j(k) = 0.
0, 1, 2
Determine r, given that 1/7*r**2 - 1/7*r**4 + 5*r + 0 - 5*r**3 = 0.
-35, -1, 0, 1
Let j = -7 - -11. Factor -3*y**3 + 3*y**4 + j*y - 7*y + 8*y**3 - 3*y**3 - 2*y**2 - 1 + y**5.
(y - 1)*(y + 1)**4
Let i(r) be the second derivative of -3*r**5/20 - 29*r**4/2 + 181*r**3/2 - 183*r**2 - 5*r + 50. Find v, given that i(v) = 0.
-61, 1, 2
Suppose 30*t = 40*t - 50. Suppose 0 = 6*q - q + 4*s - 35, -t*q - 2*s + 25 = 0. Find i such that 22/7*i**2 + 0 + 4/7*i + 8/7*i**4 + 26/7*i**q = 0.
-2, -1, -1/4, 0
Let h = -12 - -27. Suppose -8 = h*j - 19*j. Determine m, given that -13*m**4 - j*m**2 + 0 + 2*m - 27/2*m**3 - 7/2*m**5 = 0.
-2, -1, 0, 2/7
Let o(r) be the first derivative of r**3 - 45*r**2 + 675*r - 67. Solve o(w) = 0 for w.
15
Suppose -255*h + 147*h**2 - 144*h**2 + 4 + 5 - 9 = 0. Calculate h.
0, 85
Suppose -3*x + x + 26 = 5*h, -2*x + 18 = 3*h. Find g such that -3*g**3 - 2*g**3 + 2*g**x + 45*g**2 + 375 - 154*g - 71*g = 0.
5
Let x = -38378/3 + 12795. Solve x*m**2 + 1/3*m**3 + 5*m + 3 = 0.
-3, -1
Let z(c) be the third derivative of 0*c**3 + 0 + 1/50*c**6 - 27*c**2 + 1/420*c**8 + 0*c**4 + 3/25*c**5 + 0*c - 2/105*c**7. Let z(o) = 0. What is o?
-1, 0, 3
Let p = -105 + 109. Let i(s) = -s**3 + 5*s**2 - 4*s + 3. Let n be i(4). Find w such that -11 + 11 - 4*w**n + 0*w**4 - 2*w**p = 0.
-2, 0
Let j(d) = 2*d**2 + 6*d + 7. Let c be j(-4). Factor -9*p**2 - c*p**3 + 22*p**2 - 11*p**2 - 12*p**2 - 5*p**4.
-5*p**2*(p + 1)*(p + 2)
Let f(h) = -2*h**4 + 18*h**3 - 28*h**2 + 12*h. Let o(c) = -c**3 + c**2. Let q(j) = -2*f(j) - 12*o(j). Determine a so that q(a) = 0.
0, 1, 2, 3
Factor -64/5*t + 288/5 - 2/5*t**2.
-2*(t - 4)*(t + 36)/5
What is s in 2/5*s**2 + 6/5*s**3 - 2/5 - 6/5*s = 0?
-1, -1/3, 1
Let m = -38 + 40. Let k be (-3 + 112/36 + 0)*m. Suppose 4/9*o - k*o**2 + 2/3 = 0. Calculate o.
-1, 3
Suppose -5*j = -9*q + 13*q - 37, j - 14 = -3*q. Solve 4/7*o**2 + 0*o - 6/7*o**5 + 2/7*o**q - 8/7*o**4 + 0 = 0.
-1, 0, 2/3
Suppose 0 = 3*s - 5*s - 5*u - 16, 3*s = -u + 2. Factor -5 - 20*b - 50*b**3 - 9*b**2 - 41*b**s - 5*b - 25*b**4 - 5*b**5.
-5*(b + 1)**5
Let g(z) be the second derivative of -z**6/30 + z**5/20 + z**4/12 - z**3/6 + 56*z. Solve g(q) = 0 for q.
-1, 0, 1
Factor -9/5*d**4 + 48/5 + 0*d - 48/5*d**3 - 72/5*d**2.
-3*(d + 2)**3*(3*d - 2)/5
Let h(o) be the second derivative of -1/60*o**6 + 0*o**2 + 10*o + 0 + 0*o**4 + 0*o**5 - 1/21*o**7 + 0*o**3. Factor h(r).
-r**4*(4*r + 1)/2
Let a = 24 + -20. Suppose g + 2*x + 4 = 0, 0*g - x = 2*g - a. Factor 0*i**3 + 4*i**3 + i**2 - 2*i**3 + i**g.
i**2*(i + 1)**2
Let a(x) be the second derivative of x**5/50 - 17*x**4/30 + 44*x**3/15 - 28*x**2/5 - 2*x + 225. Factor a(l).
2*(l - 14)*(l - 2)*(l - 1)/5
Let k = 66921/1048 + -63/131. Factor k - 39/4*q + 3/8*q**2.
3*(q - 13)**2/8
Suppose -4*j - 16 = -72. Let -9 - r**2 + 4*r**3 - 2*r**5 - 15*r**2 + 4*r**4 + j*r + 5 = 0. Calculate r.
-2, 1
Let a(w) be the first derivative of w**2/2 - w - 21. Let i(f) = -f**3 - 5*f**2 - 6*f - 4. Let t(b) = -3*a(b) + 3*i(b). Find x, given that t(x) = 0.
-3, -1
Let b(i) be the third derivative of i**6/360 - 2*i**5/45 - i**4/8 + 36*i**2 + 8. Factor b(z).
z*(z - 9)*(z + 1)/3
Let u(g) be the first derivative of -g**6/2 + g**5/5 + 11*g**4/4 + g**3 - 4*g**2 - 4*g - 124. Find o, given that u(o) = 0.
-1, -2/3, 1, 2
Let f(m) be the second derivative of m**7/2520 + m**6/72 + 5*m**5/24 - 11*m**4/12 + 13*m. Let r(k) be the third derivative of f(k). Solve r(i) = 0.
-5
Let d(l) be the third derivative of 0*l**3 + 0*l**4 + 0 - 1/80*l**5 + 0*l + 14*l**2. Factor d(s).
-3*s**2/4
Let g(l) = 94*l + 3857. Let z be g(-41). Solve -z*m**2 + 0 - 2/3*m - 5/3*m**4 - 4*m**3 = 0.
-1, -2/5, 0
Let a(l) be the third derivative of -l**6/200 + 23*l**5/100 - 3*l**4 - 72*l**3/5 - 144*l**2. Factor a(k).
-3*(k - 12)**2*(k + 1)/5
Let w(n) be the second derivative of n**4/16 + 2*n**3 + 21*n**2/2 - 24*n. Solve w(m) = 0 for m.
-14, -2
Let f(g) = -6*g**2 - 26*g - 6. Let s be f(-4). Factor 2/5*n + 0 + 6/5*n**s - 18/5*n**3 + 2*n**4.
2*n*(n - 1)**2*(5*n + 1)/5
Let n(v) be the first derivative of v**5/42 - 2*v**4/63 - v**3/63 - 41*v - 50. Let c(z) be the first derivative of n(z). Factor c(f).
2*f*(f - 1)*(5*f + 1)/21
Let j be (-2)/(-12) - 2172/(-2142). Let f = -11/34 + j. Factor -f*x**3 + 3/7*x**4 + 3/7*x**2 + 0 + 0*x.
3*x**2*(x - 1)**2/7
Let l(c) be the first derivative of 1/18*c**6 - 1/15*c**5 + 1/9*c**3 + 0*c + 0*c**2 - 1/12*c**4 - 13. What is o in l(o) = 0?
-1, 0, 1
Factor 4 - 1/5*w**3 - 1/5*w**4 + 21/5*w**2 + 41/5*w.
-(w - 5)*(w + 1)**2*(w + 4)/5
Let m(k) = 6*k**2 - 114*k + 4. Let s be m(19). Determine y so that 2/7*y**s + 0*y**2 + 4/7*y - 2/7 - 4/7*y**3 = 0.
-1, 1
Let f be (-1)/(2/6) - (-40)/5. Factor 8 - 12*o - f*o**2 - 7*o**2 - 8*o.
-4*(o + 2)*(3*o - 1)
Let l(u) be the second derivative of 5*u**4/12 - 65*u**3/2 + 185*u**2 + 297*u. Let l(y) = 0. Calculate y.
2, 37
Let q(s) be the third derivative of 121*s**8/420 + 11*s**7/30 - 4*s**6/9 + 2*s**5/15 - 8*s**3 + s**2 + 4. Let t(b) be the first derivative of q(b). Factor t(l).
4*l*(l + 1)*(11*l - 2)**2
Let q = -1905 - -1909. Suppose -1/2*h**2 + h**q - 1/2 + 3/2*h - 3/2*h**3 = 0. What is h?
-1, 1/2, 1
Let q(h) be the second derivative of -22*h + 0 + 1/2*h**4 - 9*h**2 - 3/20*h**5 + 5/2*h**3. Determine p, given that q(p) = 0.
-2, 1, 3
Let x(p) be the third derivative of 0 + 1/60*p**5 + 1/3*p**3 + 0*p - 13*p**2 - 1/8*p**4. Determine c so that x(c) = 0.
1, 2
Let s(t) be the second derivative of -t**7/1260 + t**6/360 - 5*t**4/4 + 15*t. Let l(z) be the third derivative of s(z). Factor l(h).
-2*h*(h - 1)
Suppose 2*c = -14, 7 = -16*g + 20*g - c. Let i = 0 + 1/2. Factor i*o**4 + 1/2*o**2 + 0 + g*o - o**3.
o**2*(o - 1)**2/2
Let j = 242 + -379. Let s = j + 413/3. Suppose s*t**2 + 0 + 4/9*t + 2/9*t**3 = 0. What is t?
-2, -1, 0
Suppose -3*k = -8*k. Let m(b) be the first derivative of 2 - 1/6*b**4 + 0*b + 4/9*b**3 + k*b**2. Suppose m(l) = 0. What is l?
0, 2
Determine b so that 0 - 14/3*b**3 - 10/3*b + 2/3*b**4 + 22/3*b**2 = 0.
0, 1, 5
Let k(q) = -2*q**5 - 7*q**4 + 11*q**3 - 7*q**2 + 5*q. Let m(j) = -j**5 - 3*j**4 + 5*j**3 - 3*j**2 + 2*j. Let f(h) = -6*k(h) + 14*m(h). Let f(b) = 0. What is b?
-1, 0, 1
Suppose -k = 2*k + 2*d + 5, 16 = 4*k - 3*d. Factor 0*t + 6 + k + 2 - 3*t**2 - 6*t.
-3*(t - 1)*(t + 3)
Let s(p) be the second derivative of -6*p + 0 + 0*p**2 - 1/105*p**6 - 1/21*p**3 + 1/42*p**4 + 1/70*p**5. Let s(r) = 0. Calculate r.
-1, 0, 1
Let k = 1 - -5. Let o be ((-352)/440)/((-4)/10). What is i in -3*i**2 - 2*i + 4*i**2 - k*i**3 + 5*i**o + 2*i**4 = 0?
0, 1
Let f(y) be the third derivative of y**6/90 - y**5/18 + y**4/9 - y**3/9 + 68*y**2. Solve f(i) = 0 for i.
1/2, 1
Let w(g) = 3*g + 7. Let u(q) = -q**2 + 5*q + 13. Let n(y) = -y**3 + y**2. Let r be n(0). Let k = -4 + r. Let v(j) = k*u(j) + 7*w(j). Solve v(s) = 0.
-1, 3/4
Let x be (-36)/27*6/(-4)*1. Solve 3*z**x - 268 + 268 + 3*z = 0.
-1, 0
Let p(b) be the first derivative of 5*b**6/2 - 37*b**5 + 405*b**4/2 - 1510*b**3/3 + 1095*b**2/2 - 225*b + 165. What is s in p(s) = 0?
1/3, 1, 3, 5
Let v be (-8)/2 - (7 - 9). Let s = 1 - v. Let 6*l**2 + 7*l**3 + 7*l**3 - 17*l**s - 3*l = 0. What is l?
0, 1
Let g be ((-4)/10)/(4 + 145/(-25)). Let f(j) be the second derivative of g*j**2 + 0 - 5/54*j**4 - 2/45*j**5 - 2*j + 7/27*j**3. Factor f(c).
-2*(c - 1)*(c + 2)*(4*c + 1)/9
Suppose q - 5*w = -20, 0*w + 2*w - 8 = 2*q. Factor -5 + 0 + q*z**2 - 5*z**2 + 2*z**3 + 8 - 4*z.
(z - 3)*(z + 1)*(2*z - 1)
Let v(y) = -4*y**3 - y**2 - y. Let g be v(-1). Suppose 3*p - 10 = -2*s + 18, g*p - 19 = s. Factor -4*q - q**2 - 1 - 4*q + p*q.
-(q + 1)**2
Suppose -2*d = 4*d - 12. Let c(z) be the first derivat