erivative of y**6/5 + 68*y**5/75 + 23*y**4/15 + 16*y**3/15 + y**2/15 - 4*y/15 + 32. Find w such that f(w) = 0.
-1, 2/9
Let r(w) = 1. Let a(s) = 1 + 4*s + 4 + 0 - 10*s**2. Let g = 2 + 3. Let j(x) = g*r(x) - a(x). Factor j(y).
2*y*(5*y - 2)
Suppose -38 = 4*u - 6. Let o = u + 11. Find r such that -o*r**4 + 2*r**3 + 0*r**3 + r**4 = 0.
0, 1
Suppose -k - 83 = 47. Let m be k/(-50) + (-4)/(-10). Factor 0 + 14/3*i**2 - 2/3*i - 8*i**m.
-2*i*(3*i - 1)*(4*i - 1)/3
Let f be (-7 - -2)/((-190)/114). Suppose -8*r**4 + 3*r + 1/3 + 7/3*r**f - 16/3*r**5 + 23/3*r**2 = 0. Calculate r.
-1, -1/4, 1
Let q be (-5 - -5)*(-2)/(-6). Let o(i) be the third derivative of 0*i - 1/24*i**4 - i**2 + 1/60*i**5 + q + 0*i**3. Suppose o(v) = 0. Calculate v.
0, 1
Determine o so that 10/7*o**2 - 2/7*o**4 - 4/7*o + 0 + 2/7*o**5 - 6/7*o**3 = 0.
-2, 0, 1
Let x(i) = -i + 6. Let u be x(3). Suppose 5*m = u*c - 0*m - 10, 4*c + 5*m + 10 = 0. Solve 4/7*g**3 - 2/7*g**4 - 2/7*g**5 + 0*g + 0*g**2 + c = 0 for g.
-2, 0, 1
Let x(j) be the first derivative of -2 + 0*j**3 + 1/6*j**4 - 2*j - j**2. Let v(p) be the first derivative of x(p). Solve v(a) = 0.
-1, 1
Find b, given that -12 + 5*b**2 - 2*b**2 + 8*b + b = 0.
-4, 1
Let h(p) be the second derivative of p**5/170 - p**3/17 - 2*p**2/17 + 8*p. Factor h(z).
2*(z - 2)*(z + 1)**2/17
Let p(l) be the first derivative of l**5 - 5*l**3/3 - 24. Factor p(k).
5*k**2*(k - 1)*(k + 1)
Let 115*w**4 + w**3 - 114*w**4 + w**3 = 0. What is w?
-2, 0
Suppose 2/5*d**4 + 0 + 10*d**2 + 0*d - 4*d**3 = 0. What is d?
0, 5
Let g = -77/3 - -26. Let v be (-4)/(-6) + -1 - -1. Factor -1/3 + g*n**5 + v*n**3 - 2/3*n**2 + n**4 - n.
(n - 1)*(n + 1)**4/3
Let s(i) be the second derivative of 5*i**7/42 - 5*i**6/6 + 9*i**5/4 - 35*i**4/12 + 5*i**3/3 - 15*i. Factor s(u).
5*u*(u - 2)*(u - 1)**3
Let g(r) = r**2 - 3*r + 2. Let k = -8 - -9. Let n(h) = -h**2 + 0*h**2 - 2*h + 3*h. Let a(x) = k*g(x) + 3*n(x). Solve a(w) = 0 for w.
-1, 1
Let k(v) = -4*v**2 - 10*v + 7. Let g = -5 + 8. Let l(p) = -7*p + 0*p**2 - g - 3*p**2 + 8. Let r(x) = -5*k(x) + 7*l(x). What is z in r(z) = 0?
0, 1
Let l(c) be the third derivative of 0*c**4 + 0*c**6 + 0*c + 0 - 1/420*c**7 + 0*c**5 + 3*c**2 + 0*c**3. What is h in l(h) = 0?
0
Let u(q) be the second derivative of 3*q + 0*q**2 + 0*q**5 + 1/45*q**6 + 0*q**3 + 0 - 1/18*q**4. Factor u(s).
2*s**2*(s - 1)*(s + 1)/3
Factor -y**3 + 42 + 5*y**3 - 4*y**2 - 42.
4*y**2*(y - 1)
Let k(j) be the first derivative of -j**7/735 + j**6/420 + j**5/210 - j**4/84 + 3*j**2/2 - 3. Let c(s) be the second derivative of k(s). Factor c(y).
-2*y*(y - 1)**2*(y + 1)/7
Let l(w) = -w**2 + 9*w - 4. Let c be l(8). Suppose -4 = 2*q - 10. Factor -2/3*k**q + 2/3*k**2 + 0*k - 2/3*k**c + 0 + 2/3*k**5.
2*k**2*(k - 1)**2*(k + 1)/3
Suppose -5*u = -32 - 153. Let p = -35 + u. Factor 5/2*o**4 - 5/2*o**p - o**3 + o + 0.
o*(o - 1)*(o + 1)*(5*o - 2)/2
Suppose -5*t = -3 - 2. Let s(w) = -w**2 + w - 1. Let c(j) = -7*j**3 - 6*j**2 + 4*j - 4. Let a(m) = t*c(m) - 4*s(m). Factor a(h).
-h**2*(7*h + 2)
Let k(w) be the second derivative of 1/42*w**4 + 0 + 2/21*w**3 + 1/7*w**2 + 4*w. Factor k(l).
2*(l + 1)**2/7
Let l be 1/(3 - (-21)/(-6)). Let j be 6 + ((-2)/l - 3). Factor j*h**2 - h**4 - 5*h**2 - h + 2*h**2 + h**3.
-h*(h - 1)**2*(h + 1)
Let p = 19 + -16. Let i = 118/159 + -4/53. Suppose -1/3 + 0*s**2 + 1/3*s**4 - 2/3*s**p + i*s = 0. Calculate s.
-1, 1
Let b(c) = 2*c. Let h be b(1). Factor 48 - 2*i**h + 2*i + i**2 - 45.
-(i - 3)*(i + 1)
Factor -2 - 2/7*q**2 - 16/7*q.
-2*(q + 1)*(q + 7)/7
Let b(n) be the second derivative of n**5/160 - n**4/8 + n**3 - 4*n**2 + 7*n. Factor b(w).
(w - 4)**3/8
Let d = 954/5 - 189. Find i, given that 3/5*i**2 + 0 + 0*i + d*i**3 = 0.
-1/3, 0
Let m = 47/236 - -3/59. Factor -m*n**3 - 5/4*n + n**2 + 1/2.
-(n - 2)*(n - 1)**2/4
Let z be (70/(-20))/(3/(-6)). Suppose -2*s + z*s - 15 = 0. What is a in 2/5*a**2 + 0 + 0*a - 2/5*a**s = 0?
0, 1
Determine o, given that -4/7*o - 8/7 + 4/7*o**2 = 0.
-1, 2
Let m(k) be the first derivative of -8*k**2 - 12*k - 4/3*k**3 - 4. Determine h so that m(h) = 0.
-3, -1
Let v = -32 - -32. Let h(i) be the third derivative of v - 1/28*i**4 + 0*i - 2/21*i**3 - 1/210*i**5 + 2*i**2. Factor h(o).
-2*(o + 1)*(o + 2)/7
Let p(f) be the second derivative of f**4/30 + 4*f**3/15 + 3*f**2/5 + f. Factor p(a).
2*(a + 1)*(a + 3)/5
Let v(q) be the second derivative of -q**6/120 + q**5/10 - 11*q**4/24 + q**3 - 9*q**2/8 + q. Factor v(c).
-(c - 3)**2*(c - 1)**2/4
Let z(x) be the second derivative of x**7/1260 + x**4/12 - x. Let d(j) be the third derivative of z(j). Determine p so that d(p) = 0.
0
Let s(y) = -3*y**4 + 3*y**3 + 6*y**2 - 2*y. Let l(a) = -21*a**4 + 21*a**3 + 42*a**2 - 15*a. Let i(k) = -2*l(k) + 15*s(k). Find q, given that i(q) = 0.
-1, 0, 2
Let f be (-1 - 0)/(5/(-45)). Let p be (-5)/(-15) - 3/f. Factor 0 + p*j**2 + 0*j**3 + 1/4*j**4 + 0*j.
j**4/4
Solve 1/2*v**4 - 1/2*v + v**3 + 1/2 - v**2 - 1/2*v**5 = 0.
-1, 1
Let k(o) be the first derivative of -3*o**4/4 + 4*o**3/3 - o**2/2 - 20. Factor k(i).
-i*(i - 1)*(3*i - 1)
Let 2/5*p + 0 - 7/5*p**2 = 0. Calculate p.
0, 2/7
Let g be (-4*1/1)/(-14). Suppose 0 - 4/7*i + g*i**2 = 0. What is i?
0, 2
Suppose 4*z = 2*g + 2*z + 2, 5*g = -4*z + 4. Factor 36*c - 3*c**5 - 9*c**4 + 12 + g*c**3 + 48*c**2 - 15*c**2 - c**3 + 4*c**3.
-3*(c - 2)*(c + 1)**3*(c + 2)
Let y(o) be the second derivative of -3*o**2 - 5/2*o**4 + 3*o + 6/5*o**6 - 5/14*o**7 - 3/5*o**5 + 9/2*o**3 + 0. Determine a so that y(a) = 0.
-1, 2/5, 1
Suppose -7*m + 20 = -3*m. Let i(k) = -2*k**4 + 4*k**4 + 4*k**4. Let n(t) = -13*t**4 - t**3 - t**2. Let c(a) = m*i(a) + 2*n(a). Determine l so that c(l) = 0.
-1/2, 0, 1
Let q(h) = 5*h**2 + 5*h + 4. Let k be q(-1). Let n(j) be the first derivative of -3/8*j**2 + 3/16*j**k - 3/4*j - 2 + 1/4*j**3. Factor n(x).
3*(x - 1)*(x + 1)**2/4
Let f be 275/360 + (-7)/(-56). Solve f*r**3 - 2/9 + 8/9*r - 4/3*r**2 - 2/9*r**4 = 0.
1
Suppose 0 = -m + 6*m - 25. Let x(d) be the second derivative of d + 0 - 1/12*d**4 - 1/30*d**m - 1/18*d**3 + 0*d**2. Suppose x(b) = 0. Calculate b.
-1, -1/2, 0
Let v be -3*(0 + 0 - 1). Let a = v + 0. Let 2 + 3*f - 9*f**3 + 1 - a*f**2 + 6*f**3 = 0. What is f?
-1, 1
Suppose -20 = -2*l + q, -3*l + 2*q + 25 + 3 = 0. Factor -l*p**2 + 7 - 11 - 2 + 15*p + 3*p**3.
3*(p - 2)*(p - 1)**2
Suppose 0 = 3*j + 3*j. Let z(v) be the third derivative of v**2 - 1/72*v**4 + 0*v**3 + j*v - 1/90*v**5 + 0 - 1/360*v**6. Find t such that z(t) = 0.
-1, 0
Let b(m) = -3*m**2 - 9*m - 6. Let h(q) = -q**2 + q - 1. Let u(w) = 9*w**2 + 3*w + 12. Let a(r) = 6*h(r) + u(r). Let z(x) = -3*a(x) - 4*b(x). Factor z(g).
3*(g + 1)*(g + 2)
Factor 34 + 25*r - 343*r**2 + 338*r**2 - 4.
-5*(r - 6)*(r + 1)
Let l(k) = -38*k + 7. Let s be l(5). Let a = s - -1649/9. Determine n, given that 0 - a*n**4 + 0*n**2 - 2/9*n**3 + 0*n = 0.
-1, 0
Let b(j) = -2*j - 9. Let r be b(-6). Factor -5*l - 3*l**2 + l + 19*l**r + 12*l**4 - 9*l**2.
l*(l + 2)*(3*l - 2)*(4*l + 1)
Let k(f) = -4 - 1 + 5 - f. Let v(w) = -2*w**2 - 7*w. Let d(s) = 3*k(s) - v(s). Find l, given that d(l) = 0.
-2, 0
Let c(m) be the third derivative of -m**5/480 + 5*m**4/96 - 25*m**3/48 + 7*m**2. Solve c(o) = 0.
5
Let r(q) = 4*q**2 - q - 1. Let d be r(-1). Let p be (-20)/4*(-1 - 0). Suppose 420*w**d + 0 - 284*w**3 - 8*w - 441/2*w**p + 80*w**2 = 0. Calculate w.
0, 2/7, 2/3
Let y(d) be the second derivative of 23/70*d**5 + 1/15*d**6 - 6*d + 10/21*d**4 + 0*d**2 + 4/21*d**3 + 0. Find m, given that y(m) = 0.
-2, -1, -2/7, 0
Let w(k) = -k**3 + 2*k**2 + 9*k - 4. Let l be w(4). Let a(u) be the second derivative of -1/27*u**3 + 2*u - 1/18*u**4 + 2/9*u**2 + l. Factor a(f).
-2*(f + 1)*(3*f - 2)/9
Factor 4*h - 2*h**4 - 3*h**2 + h**2 + h**4 + 3*h**4 - 4*h**3.
2*h*(h - 2)*(h - 1)*(h + 1)
Determine x, given that -3*x**4 + x + x + 2*x**2 + x**3 + x**3 + 1 - 5*x + x**5 = 0.
-1, 1
Let r be ((-52)/(-8))/((-2)/(-4)). Suppose -1 = c + 3*s - r, 0 = -4*c - 5*s + 27. Factor 1 - 2*t**2 + 4 - c.
-2*(t - 1)*(t + 1)
Let k(x) = -4*x**2. Let h(i) = 39*i**2 + 7*i + 2. Let t(a) = -4*h(a) - 36*k(a). Factor t(m).
-4*(m + 2)*(3*m + 1)
Let s(n) = n**3 + 8*n**2 - 31*n + 19. Let f(h) = 4*h**3 + 24*h**2 - 92*h + 56. Let d(b) = -3*f(b) + 8*s(b). Find m, given that d(m) = 0.
-4, 1
Let p(g) be the third derivative of -g**5/15 + 2*g**3/3 - 9*g**2. Determine s, given that p(s) = 