tive of -w**5/60 + w**4/12 - w**3/6 - 2*w**2. Find o such that l(o) = 0.
1
Let a be (-38)/(-20) - 123/82. Factor a*h + 0 + 1/5*h**2.
h*(h + 2)/5
Let p(y) = 13*y**3 - 20*y**2 + 16*y + 1. Let x(g) = -6*g**3 + 10*g**2 - 8*g. Let c be (-2)/(6/9) - -1. Let i(t) = c*p(t) - 5*x(t). Factor i(d).
2*(d - 1)**2*(2*d - 1)
Let c(f) = f + 9. Let y be c(-9). Factor y*r**2 + 1/4*r**3 - 1/4*r + 0.
r*(r - 1)*(r + 1)/4
Let f(b) be the third derivative of b**5/12 + 5*b**4/2 + 30*b**3 - 30*b**2. Factor f(o).
5*(o + 6)**2
Let b(m) = m**2 + 6*m + 8. Let h be b(-2). Let i(v) be the second derivative of -2*v**2 - 1/12*v**4 - 3*v + h - 2/3*v**3. Factor i(r).
-(r + 2)**2
Let y = -17/290 - 7/29. Let g = y + 29/30. Factor 0 - g*b**3 + 0*b**2 + 0*b + 2/3*b**4.
2*b**3*(b - 1)/3
Let k(g) be the first derivative of -g**3/6 - 7*g**2/4 - 3*g + 17. Factor k(m).
-(m + 1)*(m + 6)/2
Let j(u) be the third derivative of 0*u + 0*u**3 + 6*u**2 - 1/42*u**4 + 2/105*u**6 + 0 - 1/147*u**7 - 1/210*u**5. Solve j(b) = 0.
-2/5, 0, 1
Let k be (3/(-5)*-1)/(21/5). Factor 0*d - 1/7*d**4 + k*d**5 + 0 - 1/7*d**3 + 1/7*d**2.
d**2*(d - 1)**2*(d + 1)/7
Let v = 460 + -456. Factor -2/3*d**3 + 0*d + 0 + 0*d**v + 0*d**2 + 2/3*d**5.
2*d**3*(d - 1)*(d + 1)/3
Let o(i) be the third derivative of i**9/15120 + i**8/2240 + i**7/840 + i**6/720 + i**4/8 - 2*i**2. Let x(u) be the second derivative of o(u). Factor x(k).
k*(k + 1)**3
Let v(a) be the first derivative of -1/6*a**3 + 1/6*a**2 + 1/6*a - 1. Factor v(y).
-(y - 1)*(3*y + 1)/6
Let k(g) be the second derivative of -g**8/40320 - g**7/15120 + g**4/2 - 6*g. Let y(n) be the third derivative of k(n). Factor y(l).
-l**2*(l + 1)/6
Let t(y) = y. Let g(d) = -5*d**2 - 3*d + 5. Let p(k) = g(k) + 3*t(k). Suppose p(c) = 0. What is c?
-1, 1
Let v(s) = -s**2 - 5*s - 16. Let r(o) = -o**2 - 6*o - 16. Let w(m) = 3*r(m) - 2*v(m). Find f, given that w(f) = 0.
-4
Let z(u) be the third derivative of 0*u + 0*u**3 + 1/48*u**4 - 1/240*u**5 - 2*u**2 + 0. Factor z(w).
-w*(w - 2)/4
Let m(y) be the third derivative of y**8/1008 + y**7/630 - 2*y**2. Determine u, given that m(u) = 0.
-1, 0
Let v(f) be the first derivative of -f**4/12 + f**2/6 - 7. Factor v(x).
-x*(x - 1)*(x + 1)/3
Let b(y) be the third derivative of -y**7/1155 + y**6/220 - y**5/330 - y**4/44 + 2*y**3/33 + 32*y**2. What is m in b(m) = 0?
-1, 1, 2
Let w(d) be the third derivative of 1/135*d**5 - 3*d**2 - 1/36*d**4 + 0*d - 2/27*d**3 + 0. Solve w(q) = 0.
-1/2, 2
Factor b**3 - 40*b + 23*b + 9*b + 6*b**2 + 17*b.
b*(b + 3)**2
Suppose -j - 15 = -6*j. Let r be (-5)/(-2) - j/6. Factor m + 2*m**2 - m**r - m**3 - 10*m**4 + 9*m**4.
-m*(m - 1)*(m + 1)**2
Let f(o) = o**2 + o + 2. Let z be f(0). Let j = 6 - 3. Factor j*q**z + q + 2*q**3 - q - q**2.
2*q**2*(q + 1)
Factor -8/11*j**3 + 14/11*j + 4/11 + 8/11*j**2.
-2*(j - 2)*(2*j + 1)**2/11
Let u be (1/12)/((-21)/(-28)). Let w(j) be the third derivative of -1/180*j**6 + 1/36*j**4 + 0*j + 0 - j**2 + u*j**3 - 1/90*j**5. Determine m so that w(m) = 0.
-1, 1
Suppose 0 = -5*m - 3 + 13. Determine x, given that -3 - 10*x**m + 3 - 4*x = 0.
-2/5, 0
Let c(i) be the first derivative of 4*i**5/25 + i**4/5 - 4*i**3/5 - 2*i**2/5 + 8*i/5 - 12. Factor c(l).
4*(l - 1)**2*(l + 1)*(l + 2)/5
Find y such that 8*y**3 + 4/5*y**5 - 8/5*y + 22/5*y**2 - 8/5 + 22/5*y**4 = 0.
-2, -1, 1/2
Let x = 84 - 80. Let l(q) be the third derivative of -4*q**2 + 0*q**x + 0 + 0*q + 1/150*q**5 + 0*q**3. Solve l(u) = 0 for u.
0
Let 5/6*h**4 + 5/3*h**3 - 5/6 + 0*h**2 - 5/3*h = 0. Calculate h.
-1, 1
Let l(c) be the second derivative of -14*c**6/15 + 19*c**5/5 - 8*c**4/3 - 8*c**3/3 + 11*c. Factor l(a).
-4*a*(a - 2)*(a - 1)*(7*a + 2)
Suppose -z + 14 = 2*w - 3*z, -20 = 4*z. Factor -6*b + 6*b + 3*b**3 + 2*b**4 + 2*b**w - b**4.
b**2*(b + 1)*(b + 2)
Let w(i) be the second derivative of i**6/10 + 6*i**5/5 + 11*i**4/2 + 12*i**3 + 27*i**2/2 + 11*i. Solve w(z) = 0 for z.
-3, -1
Factor 27*l**2 - 2*l**3 + 4*l**4 - 3*l**4 - 26*l**2.
l**2*(l - 1)**2
Let c(f) be the first derivative of -f**4/2 + f**2 + 9. Factor c(k).
-2*k*(k - 1)*(k + 1)
Let r be 2/2 + -1 + 2. Let u be r - (-2)/5 - 2. Factor 1/5*d**5 - 3/5*d + 2/5*d**2 + 1/5 + u*d**3 - 3/5*d**4.
(d - 1)**4*(d + 1)/5
Let i(x) be the third derivative of -1/3*x**4 + 0 - 1/30*x**5 + 0*x + 4*x**2 - x**3. Factor i(a).
-2*(a + 1)*(a + 3)
Let r(j) be the second derivative of j**6/210 + j**5/140 - 9*j. Solve r(y) = 0.
-1, 0
Let d be (-4)/(-6) - (-10)/(-15). Factor 0*p**2 + d*p**2 - 6*p**3 + 8*p**3 + 2*p**2.
2*p**2*(p + 1)
Let o(w) = -11*w**4 - 33*w**3 - 29*w**2 - 12*w. Let k(l) = 5*l**4 + 16*l**3 + 15*l**2 + 6*l. Let y(i) = -15*k(i) - 6*o(i). Determine h so that y(h) = 0.
-3, -1, -2/3, 0
Let d(n) = 2*n**3 - 7*n**2 + 7*n + 7. Let g(t) = t**2 - 4*t**2 + 1 + 3*t - 1 + t**3 + 3. Let v(a) = 4*d(a) - 9*g(a). Factor v(q).
-(q - 1)*(q + 1)**2
Factor -1/3 - 2/3*s - 1/3*s**2.
-(s + 1)**2/3
Let h = 20 - 26. Let a be (-24)/(-11) - h/(-33). What is j in 4/11 + 2/11*j - 2/11*j**a = 0?
-1, 2
Let z(i) be the first derivative of i**6/4 + 9*i**5/10 + 3*i**4/4 + 7. Factor z(d).
3*d**3*(d + 1)*(d + 2)/2
Let w be (-1)/4 + (-138)/(-168). Determine q, given that 0 - 2*q**2 - 10/7*q**3 - w*q = 0.
-1, -2/5, 0
Let -1/9*y**2 - 1/3 + 4/9*y = 0. What is y?
1, 3
Let i be (-21)/(-2) + (-6)/4. Factor 0*w**2 - i*w**2 - 12 + 4 - w**2 - 32*w + 50*w**3.
2*(w - 1)*(5*w + 2)**2
Let p(i) be the third derivative of -i**8/560 - i**7/175 + i**6/200 + i**5/50 + 2*i**2. Determine a so that p(a) = 0.
-2, -1, 0, 1
What is b in 2/3*b - 2/3*b**2 + 0 = 0?
0, 1
Let a(j) be the first derivative of -j**4/30 - 2*j**3/45 + j**2/3 - 2*j/5 + 15. Determine l, given that a(l) = 0.
-3, 1
Let r be 86/84 + (-7)/42. Suppose 0 + 2/7*z**4 + 2/7*z + r*z**3 + 6/7*z**2 = 0. What is z?
-1, 0
Let g(p) be the second derivative of 0*p**2 - 1/3*p**3 - 3/10*p**5 + p + 1/15*p**6 + 0 + 1/2*p**4. Factor g(y).
2*y*(y - 1)**3
Suppose 2*t = 5 + 3. Let o(p) be the first derivative of -1/3*p**3 + 2 - 1/2*p**2 + 1/4*p**t + 1/5*p**5 + 0*p. What is m in o(m) = 0?
-1, 0, 1
Let u(y) be the third derivative of -1/300*y**5 + 0 - 1/120*y**4 + 0*y - 2*y**2 + 0*y**3. Solve u(r) = 0 for r.
-1, 0
Let b(x) be the second derivative of x**8/1008 - 2*x**7/315 + x**6/60 - x**5/45 + x**4/72 - x**2/2 - x. Let y(w) be the first derivative of b(w). Factor y(u).
u*(u - 1)**4/3
Let m(u) be the first derivative of u**6/21 - u**4/7 + u**2/7 + 1. Find w, given that m(w) = 0.
-1, 0, 1
Let j = 2/875 + 1696/23625. Let g(l) be the second derivative of 1/54*l**4 + 0 + 0*l**2 + 2*l - j*l**3. What is h in g(h) = 0?
0, 2
Suppose -2*k + 1 = -k. Let p be ((1 - k)/(-1))/1. What is g in p + 2/5*g**2 + 2/5*g = 0?
-1, 0
Suppose -2*r - 69 = -73. Determine b, given that -2/3*b**3 - 2*b**r + 8/3 + 0*b = 0.
-2, 1
Let r(s) be the third derivative of s**7/420 - s**5/60 - s**3/6 - 3*s**2. Let d(c) be the first derivative of r(c). Factor d(t).
2*t*(t - 1)*(t + 1)
Let p(d) be the third derivative of d**7/210 + d**6/40 - d**4/6 - 3*d**2. Factor p(b).
b*(b - 1)*(b + 2)**2
Let a(d) be the first derivative of 0*d**3 - 1/12*d**4 + 0*d + 0*d**2 - 1/15*d**5 + 5. Let a(u) = 0. Calculate u.
-1, 0
Let w = -14/43 + 2563/7740. Let l(q) be the third derivative of 2*q**2 + 0*q + 0*q**5 + 0 + 1/1008*q**8 + 0*q**3 - w*q**6 + 1/72*q**4 + 0*q**7. Factor l(x).
x*(x - 1)**2*(x + 1)**2/3
Let q be ((-2)/2)/((-1)/2). Factor 0*c**2 + c - 4*c**2 + 3*c**q + 2.
-(c - 2)*(c + 1)
Let d(p) = 4*p + 4. Let a be d(-1). Let v(m) be the first derivative of 1/2*m**4 - 3 + 2/15*m**5 + 1/3*m**2 + 2/3*m**3 + a*m. Factor v(k).
2*k*(k + 1)**3/3
Let 0*h**2 - 1/3*h**3 + 0 + 4/3*h = 0. Calculate h.
-2, 0, 2
Let z(s) = -6*s**2 + 6*s - 14. Let n(r) = 5*r**2 - 6*r + 13. Let u(g) = -5*n(g) - 4*z(g). Suppose u(o) = 0. What is o?
3
Let z(h) = h**3 + 4*h**2 + 3. Let n be z(-4). Let p be ((-12)/10)/(((-16)/10)/2). Factor -1/2 - 1/2*i**n - p*i - 3/2*i**2.
-(i + 1)**3/2
Factor 6*u + 4 - 18*u**3 + 0 + 0 + 16*u**3.
-2*(u - 2)*(u + 1)**2
Let t be (-1)/((-8)/(-390)) - -4. Let p = t + 45. Factor 1/4*g + p*g**4 + 3/4*g**2 + 0 + 3/4*g**3.
g*(g + 1)**3/4
Suppose 8/5 + 8/5*v - 2/5*v**3 - 2/5*v**2 = 0. Calculate v.
-2, -1, 2
Let o(c) be the third derivative of -c**7/15 + 19*c**6/60 - 4*c**5/15 - c**4/3 - c**2. Suppose o(u) = 0. Calculate u.
-2/7, 0, 1, 2
Let o(q) be the first derivative of q**6/30