 be ((-9)/(-4))/((-4)/16). Let p be u(k). Determine w, given that -w - 2*w**3 + 2*w + 4*w**p - 3*w = 0.
0, 1
Let t(o) be the third derivative of -o**8/84 - 8*o**7/105 - o**6/15 + 4*o**5/15 + o**4/2 - 25*o**2 - 1. Let t(h) = 0. Calculate h.
-3, -1, 0, 1
Let u be -3*(-2)/((-18)/(-21)). Factor o**3 + 3*o**3 + u*o**2 + 0*o - 2*o.
o*(o + 2)*(4*o - 1)
Let m(z) be the third derivative of -z**5/480 + z**4/192 - 10*z**2 + 4*z. Factor m(x).
-x*(x - 1)/8
Let a(j) be the first derivative of j**4/12 - 4*j**3/9 + 5*j**2/6 - 2*j/3 + 8. Factor a(o).
(o - 2)*(o - 1)**2/3
Let x(t) be the second derivative of 2*t**7/21 + 2*t**6/5 - t**5/5 - t**4 - 7*t. Factor x(k).
4*k**2*(k - 1)*(k + 1)*(k + 3)
Suppose a - q + 2 = -0*a, -7 = 3*a - 2*q. Let i be ((-3)/9)/(a - -2). Find h such that 0 + i*h**3 - 2/3*h**2 + 1/3*h = 0.
0, 1
Factor 77*a**3 + 8*a**4 + 16*a - 37*a**3 + 4*a**5 - 52*a**3 - 16*a**2.
4*a*(a - 1)**2*(a + 2)**2
Let s(y) be the third derivative of y**2 + 0*y + 1/1155*y**7 + 0 + 1/33*y**3 - 1/165*y**5 - 1/132*y**4 - 1/1848*y**8 + 1/330*y**6. Factor s(f).
-2*(f - 1)**3*(f + 1)**2/11
Let y be ((-1)/5)/(3/(-5)). Let r(c) be the first derivative of 1/2*c**2 - 1 + 0*c - y*c**3. Factor r(w).
-w*(w - 1)
Let i = -18 + 25. Suppose -i*d = -14 - 0. Determine c, given that 4/5*c**3 + 2/5 + 13/5*c**d + 11/5*c = 0.
-2, -1, -1/4
Let w(q) = 4*q**4 + 7*q**3 + 24*q**2 - 7*q - 55. Let r(n) = -n**4 - 2*n**3 - 8*n**2 + 2*n + 18. Let p(b) = 21*r(b) + 6*w(b). Suppose p(s) = 0. Calculate s.
-2, 2
Let z(h) be the third derivative of -1/840*h**8 + 0*h**4 + 0*h**3 + 0 + 0*h**7 + 0*h + 4*h**2 + 1/300*h**6 + 0*h**5. Factor z(t).
-2*t**3*(t - 1)*(t + 1)/5
Let d(w) = w**3 - 9*w. Let i be d(-3). Let l(s) be the third derivative of 1/3*s**3 + i + 0*s + 1/6*s**4 - s**2 + 1/30*s**5. Factor l(f).
2*(f + 1)**2
Let s be (-2 + 11)*2/6. Let x(p) be the first derivative of -3*p**s - 2 + p + 11/4*p**4 - 4/5*p**5 + 1/2*p**2. Find c such that x(c) = 0.
-1/4, 1
Let q(p) be the first derivative of -p**7/84 + p**6/30 - p**4/12 + p**3/12 + p - 2. Let n(s) be the first derivative of q(s). Factor n(t).
-t*(t - 1)**3*(t + 1)/2
Let q(d) be the third derivative of 0*d**4 + 0*d - 1/735*d**7 + 0*d**6 - 3*d**2 + 0 - 1/1176*d**8 + 0*d**3 + 0*d**5. Find b, given that q(b) = 0.
-1, 0
Let n(m) be the first derivative of -m**3/2 - 9*m**2/4 - 3*m + 7. Factor n(p).
-3*(p + 1)*(p + 2)/2
Let n = 1169 - 1167. Factor -2/3 - 4/3*h - 2/3*h**n.
-2*(h + 1)**2/3
Suppose 5*m + 2*r = 0, 5*m + r = 7 - 2. Factor 1/2*t**m - 1/2 + 1/2*t**3 - 1/2*t.
(t - 1)*(t + 1)**2/2
Suppose 6*z**5 - 2*z**4 + 8*z**4 + 4*z**4 + 3*z**3 - 19*z**4 = 0. Calculate z.
0, 1/2, 1
Suppose 3*b + b = 24. Suppose 0 = -2*a + b*a. Find v, given that 3/4*v**3 + 0 + a*v - 3/4*v**2 = 0.
0, 1
Let b be (-18)/(-2) + (-3 - -1). Let v(k) = -4*k**2 + 7*k - 7. Let d(h) = 9*h**2 - 15*h + 15. Let a(p) = b*v(p) + 3*d(p). Factor a(u).
-(u - 2)**2
Let m(b) be the second derivative of 9*b**5/10 - 3*b**4/2 - b**3/3 + b**2 + 2*b. Determine p, given that m(p) = 0.
-1/3, 1/3, 1
Let k(a) = -a**3 + 26*a**2 + 57*a - 25. Let y be k(28). Let 0*g + 0*g**y + 2/5*g**5 + 0 + 0*g**2 - 4/5*g**4 = 0. Calculate g.
0, 2
Let m be 18/4*2/1. Factor -27 - 22*i + 21*i**2 + m - 35*i.
3*(i - 3)*(7*i + 2)
Let r = -143 - -431/3. Let u(t) be the third derivative of 4*t**2 + 0 + 0*t - r*t**3 - 1/30*t**5 - 1/4*t**4. Solve u(k) = 0.
-2, -1
Let u = 69 + -29. Factor -2 - 5 + 5 + 26*t - u*t**2 - 2.
-2*(4*t - 1)*(5*t - 2)
Let k(n) be the second derivative of n**8/6720 + n**7/2520 - n**4/4 + 2*n. Let c(p) be the third derivative of k(p). Factor c(o).
o**2*(o + 1)
Let b(a) be the first derivative of -3*a + 3/4*a**4 + 9/2*a**2 - 3*a**3 - 3. What is n in b(n) = 0?
1
Let n(d) = 2*d + 6. Let v be n(0). Factor 3*q**2 - 2*q**2 - 2 + v - 5.
(q - 1)*(q + 1)
Let r(p) be the third derivative of 7*p**6/30 - 8*p**5/5 + 9*p**4/2 - 20*p**3/3 - 21*p**2. Factor r(m).
4*(m - 1)**2*(7*m - 10)
Let r = 138 + -2069/15. Let b(w) be the second derivative of -1/15*w**3 - 1/50*w**5 - r*w**4 + 0*w**2 + 0 + 3*w. Factor b(o).
-2*o*(o + 1)**2/5
Let f(k) be the first derivative of k**3 - 9*k**2/2 - 16. Factor f(j).
3*j*(j - 3)
Factor 11/3*w**3 + 0*w - 2/3*w**2 - 16/3*w**4 + 7/3*w**5 + 0.
w**2*(w - 1)**2*(7*w - 2)/3
Find y, given that 0*y**4 - 3/2*y**2 - 9/4*y**3 + 3/4*y**5 + 0*y + 0 = 0.
-1, 0, 2
Let n(o) be the second derivative of -3/80*o**5 + 0*o**2 + 0 + 0*o**3 + 1/48*o**4 - 1/168*o**7 + 1/40*o**6 + 2*o. Let n(r) = 0. Calculate r.
0, 1
Let m(l) be the first derivative of -l**3/6 - 5*l**2/4 + 3*l + 19. Suppose m(w) = 0. What is w?
-6, 1
Let 0 - 1/2*j**5 - 2*j**2 + 2*j**4 - 3/2*j**3 + 2*j = 0. Calculate j.
-1, 0, 1, 2
Let j(m) = -4*m**3 + 16*m**2 + 4*m - 16. Let i(z) = 4*z**3 - 17*z**2 - 4*z + 17. Let n(x) = 4*i(x) + 5*j(x). Determine b, given that n(b) = 0.
-1, 1, 3
Let v be 19/2 - 1/(-2). Suppose 20 = 5*h - x - x, -4*x - v = 5*h. Solve -1/2*b + 1/3*b**h + 1/2*b**3 - 1/3 = 0.
-1, -2/3, 1
Let a(d) = 12*d**2 - 10*d - 5. Let c(z) be the third derivative of -13*z**5/60 + 11*z**4/24 + z**3 + 6*z**2. Let m(x) = -4*a(x) - 3*c(x). Factor m(u).
-(u - 1)*(9*u + 2)
Let j be 602/(-840) + 1/(-5)*-4. Let h(n) be the second derivative of 2*n + j*n**4 + 0 + 0*n**3 + 0*n**2 - 1/40*n**5. Factor h(p).
-p**2*(p - 2)/2
Let a(c) be the second derivative of 1/12*c**3 + 0 - 1/8*c**2 - 3*c - 1/48*c**4. Factor a(u).
-(u - 1)**2/4
Suppose -4*i**2 + 4*i**4 + 12*i**3 + 0*i**2 - 39*i**5 + 27*i**5 = 0. What is i?
-1, 0, 1/3, 1
Let s(v) = 3*v - 3. Let y be s(3). Let m be 2/4 + 9/y. Factor m*g - 2 + 6*g**2 + 3*g**5 - 2*g**3 - 4*g**4 - g - 2*g**3.
(g - 1)**3*(g + 1)*(3*g + 2)
Let g(x) = -7*x - 1. Let k be g(1). Let f = k - -10. Factor 0 + 1/4*m**3 - 1/2*m**f + 1/4*m.
m*(m - 1)**2/4
Let p(y) = 17*y - 49. Let v be p(3). Determine b so that -1 - 1/4*b**v + b = 0.
2
Suppose 2*k - 14 = -3*q + 2*q, 4*q + 34 = 2*k. Let x(n) = -n + 12. Let u be x(k). Factor -1/2*l**2 - 1/4*l + 0 - 1/4*l**u.
-l*(l + 1)**2/4
Let i(u) = u**3 - 9*u**2 + 10*u - 5. Let b be i(8). Let n = b + -7. Factor n*c**2 - 2*c**2 - 3*c + 2*c**3 + 3*c.
2*c**2*(c + 1)
Suppose 2 + 1 = 3*u. Let n be -3 - -4 - -2 - u. Determine p, given that 2/5*p**3 + 6/5*p + 6/5*p**n + 2/5 = 0.
-1
Let q(l) be the third derivative of -l**6/90 + l**5/9 + 4*l**4/9 - 8*l**3/3 - 10*l**2. Let q(p) = 0. What is p?
-2, 1, 6
Find w, given that 1/2*w**3 + 1/4*w**2 + 0 + 0*w + 1/4*w**4 = 0.
-1, 0
Suppose 4*y + 8 = 36. Suppose 2*t + 1 - y = 0. Factor -8/7*z**2 - 90/7*z**4 + 0*z - 50/7*z**5 + 0 - 48/7*z**t.
-2*z**2*(z + 1)*(5*z + 2)**2/7
Let f(y) be the second derivative of -1/16*y**4 - 2*y + 0*y**2 + 3/80*y**5 + 0 - 1/4*y**3. Determine c so that f(c) = 0.
-1, 0, 2
Let v(u) be the third derivative of 0*u - 1/33*u**4 + 0 - 3*u**2 + 1/330*u**5 + 4/33*u**3. Factor v(h).
2*(h - 2)**2/11
Suppose 4*k = 3*h + 3*k - 33, -h + 2*k + 11 = 0. Suppose -2*u + h - 3 = 0. Suppose 3*a + 0*a - 3*a**2 - u*a**3 + 5*a**3 - 1 = 0. What is a?
1
Let t(s) be the first derivative of 1/4*s**2 + 2 + 1/24*s**6 + 0*s + 1/12*s**3 - 1/20*s**5 - 3/16*s**4. Factor t(i).
i*(i - 2)*(i - 1)*(i + 1)**2/4
Suppose -3*j + 2*b = -b - 231, 379 = 5*j - 2*b. Factor -10*y**2 + j*y**2 + 103*y**2 - 3*y**5 + 11*y**4 - 96*y**3 + 16*y**4 - 144*y + 48.
-3*(y - 2)**4*(y - 1)
Let r(v) be the third derivative of v**6/160 - 9*v**5/40 + 27*v**4/8 - 27*v**3 + 14*v**2. Factor r(j).
3*(j - 6)**3/4
Solve 2/11*b**4 + 4/11*b**5 + 2/11*b + 0 - 6/11*b**3 - 2/11*b**2 = 0.
-1, 0, 1/2, 1
Let t(a) be the first derivative of a**3/9 + 2*a**2/3 - 67. Factor t(q).
q*(q + 4)/3
Let z be 1/2 + -3 + (-60)/(-16). Factor -1/2 + z*j - 1/2*j**2.
-(j - 2)*(2*j - 1)/4
Let h(a) be the third derivative of a**7/70 - 7*a**5/20 + 3*a**4/4 + 43*a**2. Let h(u) = 0. Calculate u.
-3, 0, 1, 2
Suppose -5*i + 9 = -1. Solve -29*s - 3*s**3 + s**4 - 2 + s**i + 0 + 32*s = 0 for s.
-1, 1, 2
Factor -1/3*j**2 - 1/3*j + 2/3.
-(j - 1)*(j + 2)/3
Let i(s) be the third derivative of -s**8/53760 + s**7/10080 - s**6/5760 + s**4/4 + 7*s**2. Let n(u) be the second derivative of i(u). Factor n(h).
-h*(h - 1)**2/8
Let q be (0 - 18/15)/((-3)/15). Let a(w) be the second derivative of 0 + 0*w**2 + 1/120*w**q + 1/16*w**4 + 3*w - 1/24*w**3 - 3/80*w**5. Factor a(d).
d*(d - 1)**3/4
Let -5*m**3 + 3*m**3 - 12*m**2 + 5*m**2 + 2*m**4 + 3*m**2 = 0. Calculate m.
-1, 0, 2