vative of 1/175*g**7 + 0*g + 1/300*g**6 + 4*g**2 + 1/15*g**4 - 4/75*g**5 + 0*g**3 + 0. Determine t, given that y(t) = 0.
-2, 0, 2/3, 1
Let o(y) be the first derivative of -3*y**2 - 3/4*y**4 - 5 + 3*y**3 + 0*y. Factor o(n).
-3*n*(n - 2)*(n - 1)
Let x = -697/470 - -18/47. Let d = x + 3/2. Factor -d + 2/5*b**2 - 2/5*b + 2/5*b**3.
2*(b - 1)*(b + 1)**2/5
Suppose -4*l - l + 25 = -5*h, 0 = 3*l - 4*h - 17. Let v(s) be the second derivative of 2*s - 2*s**2 + 0 - 7/3*s**l - 1/2*s**4. Factor v(w).
-2*(w + 2)*(3*w + 1)
Let d(g) be the third derivative of -g**8/960 - g**7/672 + g**6/720 - 2*g**3/3 - g**2. Let j(a) be the first derivative of d(a). What is o in j(o) = 0?
-1, 0, 2/7
Suppose -r + 18 = 2*r. Factor -8 + 4*d**2 + r*d**2 + 4*d - 6*d**2.
4*(d - 1)*(d + 2)
Let q = -124 + 993/8. Let n(z) be the second derivative of 2*z + q*z**2 - 1/48*z**4 + 1/80*z**5 - 1/24*z**3 + 0. Factor n(l).
(l - 1)**2*(l + 1)/4
Let m be (-5 + 7)/(0 + -2). Let s be (-3)/(-2) + m + 0. Factor -1/2*x**2 + 1/2 + s*x**3 - 1/2*x.
(x - 1)**2*(x + 1)/2
Let t(l) be the third derivative of -l**5/330 + l**4/132 + 2*l**3/11 + 20*l**2. Factor t(p).
-2*(p - 3)*(p + 2)/11
Let b(i) = -2*i - 3. Let w be b(-3). Suppose 0 = 4*f - 5*f + 8. Factor 15*k**2 + 2*k**3 - k**3 + f*k**3 + 0*k**w + 6*k.
3*k*(k + 1)*(3*k + 2)
Suppose -6*p + 5*p + 2 = 0. Factor 3/4*i**3 - i + 0 - i**p.
i*(i - 2)*(3*i + 2)/4
Let i be (-46)/(-15) - (6 - 6). Let s = -22/15 + i. Factor s*u - 2/5*u**2 - 8/5.
-2*(u - 2)**2/5
Factor -1/5*m**4 + 0 - 3/5*m - 7/5*m**2 - m**3.
-m*(m + 1)**2*(m + 3)/5
Suppose 10 = 3*x + 2*x. Let k = -3 + 11. Factor -4*m**4 + 8*m + k*m**2 + 4 + x*m**5 - 6*m**3 - 4.
2*m*(m - 2)**2*(m + 1)**2
Let j(s) be the first derivative of 3/8*s**4 - s**3 - 4 + 0*s**2 + 0*s. Factor j(u).
3*u**2*(u - 2)/2
Let w(f) = f**2 - 17*f - 12. Let v(b) = -17*b - 11. Let i(q) = -6*v(q) + 5*w(q). Suppose i(r) = 0. Calculate r.
-3, -2/5
Suppose 3*r - 3*t = -0*r + 9, r + 4*t + 2 = 0. Let g be 2/1*(r - 1). Factor 3*z**3 + z**4 + 3*z + 9*z**2 - g*z - 6*z**2.
z*(z + 1)**3
Suppose -5*m + 14 - 1 = 4*h, -6 = -2*m - 2*h. Determine c so that -9/2*c - 7/2*c**2 - m = 0.
-1, -2/7
Suppose 7 = -7*n + 7. Suppose n - 6/5*s - 3/5*s**2 = 0. Calculate s.
-2, 0
Let o(w) be the second derivative of w**9/13608 + w**8/1890 + w**7/945 + 2*w**3/3 - 7*w. Let v(c) be the second derivative of o(c). Factor v(p).
2*p**3*(p + 2)**2/9
Let v(z) be the first derivative of 3*z**4/14 + 16*z**3/7 + 15*z**2/7 - 300*z/7 - 33. Factor v(r).
6*(r - 2)*(r + 5)**2/7
Let m be (0 + 3/2)*76/228. Factor 3/4*r**3 - 7/4*r - 1/2*r**2 - m.
(r - 2)*(r + 1)*(3*r + 1)/4
Let y = 19 + -29. Let m = y - -21/2. Solve 0 - 1/6*d - 1/6*d**4 - m*d**3 - 1/2*d**2 = 0.
-1, 0
Let x be 255/711 + 2/(-6). Let w = 152/237 + x. Factor -w*b + b**4 + 2/3*b**3 + 1/3 - 4/3*b**2.
(b - 1)*(b + 1)**2*(3*b - 1)/3
Let 11*l + 2 + 6*l - 16*l + 0 - l**2 = 0. Calculate l.
-1, 2
Let f be (-1 + -1)*(-12)/8. Factor 3*i - 2*i**2 - 3*i - 3*i**5 - i**2 + 3*i**4 + 3*i**f.
-3*i**2*(i - 1)**2*(i + 1)
Suppose -6*u = -4*u - 2. Let h be -1 - (-2 - 2) - 1. Factor u - 3 - 3*n**2 + 0 - 7*n - 2*n**h.
-(n + 1)*(5*n + 2)
Suppose 4*c - 6*c - 34 = 0. Let t be (-2 - 1) + c/(-3). Factor -8/3 - 2/3*u**2 - t*u.
-2*(u + 2)**2/3
Let z(l) = -l**4 - l**3 - l**2 - l. Let d(s) = -8*s**4 - 11*s**3 - 9*s**2 - 3*s + 3. Let p(f) = -3*d(f) + 21*z(f). Factor p(u).
3*(u - 1)*(u + 1)**2*(u + 3)
Let l(t) be the second derivative of 0 - 2/9*t**3 - 1/90*t**6 - 1/15*t**5 - 1/6*t**4 - 1/6*t**2 + 2*t. Factor l(q).
-(q + 1)**4/3
Find i, given that 0*i - 9/7*i**3 + 0 + 0*i**4 + 6/7*i**2 + 3/7*i**5 = 0.
-2, 0, 1
Suppose -16 = 2*u + 4*i, u = -2*u + i + 4. Let q(s) be the second derivative of 1/48*s**4 - 1/8*s**2 - 1/24*s**3 + s + 1/80*s**5 + u. Solve q(d) = 0 for d.
-1, 1
Suppose -b + 4 = -0. Let o = 5 + -2. Factor b*s**3 - o*s**3 + s**3.
2*s**3
Let n(h) be the first derivative of 6*h**5/25 + 21*h**4/10 - 18*h**3/5 - 21*h**2/5 + 48*h/5 - 34. Factor n(j).
6*(j - 1)**2*(j + 1)*(j + 8)/5
Let t(r) be the first derivative of 4*r**3/21 + 16*r**2/7 + 64*r/7 + 9. Factor t(o).
4*(o + 4)**2/7
Let t(x) be the third derivative of -x**7/1995 - x**6/1140 + 3*x**5/190 - 11*x**4/228 + 4*x**3/57 + 37*x**2. Find h, given that t(h) = 0.
-4, 1
Let o(c) be the first derivative of -c**5/240 + c**4/24 - c**3/6 + 5*c**2/2 - 6. Let d(s) be the second derivative of o(s). Find b such that d(b) = 0.
2
Let m(r) be the third derivative of 0*r**4 - 1/210*r**5 + 1/21*r**3 + 0*r - 4*r**2 + 0. Factor m(y).
-2*(y - 1)*(y + 1)/7
Let v = -15 - -4. Let t = 13 + v. Suppose -1/5 - 6/5*z**t - 1/5*z**4 + 4/5*z + 4/5*z**3 = 0. What is z?
1
Let o(l) = -4*l**2 - 4*l + 8. Let j(x) = x**2 - 1. Let f(a) = -4*j(a) - 2*o(a). Find n, given that f(n) = 0.
-3, 1
Factor -9/7*o**3 - 6/7*o + 0 - 15/7*o**2.
-3*o*(o + 1)*(3*o + 2)/7
Suppose -17*n = -3*n - 28. Factor 0 - 3/4*a**3 - 1/4*a - 3/4*a**n - 1/4*a**4.
-a*(a + 1)**3/4
Let o(b) be the first derivative of -b**4/30 + 2*b**3/5 - 8*b**2/5 + 32*b/15 + 58. Suppose o(j) = 0. Calculate j.
1, 4
Let c(i) be the second derivative of -i**8/3360 + i**7/1260 + i**4/6 + 4*i. Let p(h) be the third derivative of c(h). Factor p(n).
-2*n**2*(n - 1)
Let r(u) = u**5 - u**4 + u**3 + u - 1. Let y(w) = 8*w**5 + 66*w**4 + 170*w**3 - 144*w**2 + 2*w - 2. Let q(x) = 2*r(x) - y(x). Factor q(m).
-2*m**2*(m + 6)**2*(3*m - 2)
Let w(k) be the second derivative of k**4/48 - k**3/8 + k. Factor w(p).
p*(p - 3)/4
Let r(u) = 6*u**2 + 21*u + 6. Let t(x) = -3*x**2 - 11*x - 3. Let l(n) = -5*r(n) - 9*t(n). Factor l(p).
-3*(p + 1)**2
Let n(j) = -j**2 - 5*j + 2. Let p(m) = -3*m + 1. Let u(l) = 7*l - 2. Let h(q) = -5*p(q) - 2*u(q). Let a(v) = 6*h(v) + 2*n(v). Let a(t) = 0. Calculate t.
-1
Factor 2/9*j**2 + 0 + 2/9*j**3 - 4/9*j.
2*j*(j - 1)*(j + 2)/9
Suppose 14 + 0 = 2*f. Let d(h) be the second derivative of -1/2*h**2 + 1/6*h**4 + 0 - h + 1/6*h**3 + 1/42*h**f - 1/10*h**5 - 1/30*h**6. Factor d(j).
(j - 1)**3*(j + 1)**2
Let f(a) be the first derivative of -3*a**5/20 - 3*a**4/4 + 6*a**2 + 2*a + 3. Let k(x) be the first derivative of f(x). Factor k(h).
-3*(h - 1)*(h + 2)**2
Suppose 0*x - x + 3 = 0. Factor -w**3 + x*w**2 + 3*w**3 + 3*w**3 - 2*w**3.
3*w**2*(w + 1)
Let m(b) = -b + 9. Let t be m(-7). Let n be (12/t)/(3/1). Solve -1/2*o**3 + n*o - 1/4 + 1/4*o**5 - 1/4*o**4 + 1/2*o**2 = 0 for o.
-1, 1
Let g(b) be the third derivative of 5*b**2 + 0*b**3 + 0*b + 0 + 1/120*b**5 - 1/48*b**4. Factor g(o).
o*(o - 1)/2
Let p(w) be the second derivative of w**6/15 + 8*w. Let p(g) = 0. What is g?
0
Let w(h) be the third derivative of h**8/252 - 2*h**7/105 + 2*h**2 - 7*h. Factor w(n).
4*n**4*(n - 3)/3
Let p = 1/359 + 1429/2513. Factor -p*l + 2/7*l**4 + 0 - 6/7*l**2 + 0*l**3.
2*l*(l - 2)*(l + 1)**2/7
Let c(k) = -3*k**4 + 4*k**2 + 3*k - 2*k**2 + k**4. Let s(p) = 3*p**4 - 3*p**2 - 4*p. Let g(l) = -4*c(l) - 3*s(l). Factor g(q).
-q**2*(q - 1)*(q + 1)
Suppose -5*l - p + 95 = -0*p, -3*p - 35 = -l. Let i be (2/15)/(6/l). Determine t, given that i*t + 2*t**2 + 0 + 14/9*t**3 = 0.
-1, -2/7, 0
Let u(d) be the third derivative of d**8/392 + d**7/105 + d**6/84 + d**5/210 + 6*d**2. Factor u(n).
2*n**2*(n + 1)**2*(3*n + 1)/7
Let y(c) be the first derivative of 2*c**5/45 + c**4/3 + 16*c**3/27 - 2*c**2/3 - 2*c + 9. Factor y(f).
2*(f - 1)*(f + 1)*(f + 3)**2/9
Suppose -1/5 + 1/5*x**2 - 1/5*x**3 + 1/5*x = 0. Calculate x.
-1, 1
Let n = -2 + 5. Let j = 42 + -39. Factor -3*p**3 - 15*p**2 - 5*p**n - 4*p**3 - j*p.
-3*p*(p + 1)*(4*p + 1)
Suppose 4*y - 8*y - 8 = 0. Let d be y/7 - (-800)/1575. What is t in -4/9 + d*t**3 - 2/3*t + 0*t**2 = 0?
-1, 2
Let p be 0/((-8 - -3) + 6/2). Factor p - 4/7*t + 2/7*t**3 + 2/7*t**2.
2*t*(t - 1)*(t + 2)/7
Let q(k) be the first derivative of -1/6*k**4 + 2/3*k**3 - k**2 + 2/3*k - 2. Determine j so that q(j) = 0.
1
Let q = 1/17 - -31/51. Factor 0*p**2 + 2/3*p**3 - q*p + 0.
2*p*(p - 1)*(p + 1)/3
Let o(g) = -25*g - 5 + 8*g - 16*g - 27*g**2. Let h(m) = -1. Let b(s) = -h(s) - o(s). Factor b(n).
3*(n + 1)*(9*n + 2)
Let g be 2 - (-4 + -1 + 2). Let b(u) be the first derivative of -1/20*u**g + 3 - 1/24*u**6 + 0*u**2 + 1/16*u**4 + 0*u + 1/12*u**3. Solve b(r) = 0.
-1, 0, 1
Let 0 - 1/6*i + 1/6*i**2 = 0. Calculate i.
0, 1
Let h(a) = a. Let f be h(-3). Let q be 0/(-1)*(f + 2). Determine v, given that q*v**5 - v**4 + v**3 - v**4 + v**5 