hat c(g) = 0.
0, 2
Let y(h) be the second derivative of 2*h**6/5 - 4*h**5 + 13*h**4 - 20*h**3 + 16*h**2 - 2*h + 17. Let y(i) = 0. Calculate i.
2/3, 1, 4
Let j be 0/((0 + -1)*2). Suppose -v + 11 = 4*o - 4*v, -2*o + v + 5 = j. Factor 4/7*a - 2/7*a**3 + 0 + 2/7*a**o.
-2*a*(a - 2)*(a + 1)/7
Let z = -8 + 12. Let k(i) = i**4 + i**3. Let u(o) = -5*o**4 + 7*o**2 - 12*o + 4. Let l(c) = z*u(c) + 12*k(c). Determine f, given that l(f) = 0.
-2, 1/2, 1, 2
Let p be (112/360)/(2/40). Let -6*y**3 - 34/3*y**2 - p*y - 8/9 = 0. Calculate y.
-1, -2/3, -2/9
Let q(a) be the third derivative of -a**8/672 + a**7/210 + a**6/40 - a**5/6 + 19*a**4/48 - a**3/2 + a**2 - 20. Let q(r) = 0. What is r?
-3, 1, 2
Let j = -751/5 + 151. Factor 2/5*u + 2/5*u**3 - j*u**2 + 0.
2*u*(u - 1)**2/5
Let y(t) be the third derivative of 2/15*t**3 + 1/525*t**7 + 0*t - 1/60*t**6 - 7/60*t**4 + 3/50*t**5 - 4*t**2 + 0. Factor y(l).
2*(l - 2)*(l - 1)**3/5
Let z = -11 + -16. Let g be 3/(z/(-2) - 3). Factor -8/7*f**3 - 4/7*f + 0 - g*f**4 - 10/7*f**2.
-2*f*(f + 1)**2*(f + 2)/7
Let k(c) be the second derivative of -9*c**7/112 - 9*c**6/80 + 15*c**5/32 + 5*c**4/32 - c**3 + 3*c**2/4 - 20*c. Find r such that k(r) = 0.
-2, -1, 1/3, 2/3, 1
Let j(p) be the first derivative of -3*p**5/10 - 15*p**4/8 - 7*p**3/2 - 9*p**2/4 - 3. Let j(s) = 0. What is s?
-3, -1, 0
Let y(s) = 13*s**3 - 37*s**2 + 26*s - 6. Let p(z) = 7*z**3 - 19*z**2 + 13*z - 3. Let b(o) = -5*p(o) + 3*y(o). Factor b(t).
(t - 3)*(2*t - 1)**2
Let x(w) = 2*w**2 - 2*w - 40. Let f be x(-4). Factor -1/3*g**3 + 0*g**2 + f + 0*g.
-g**3/3
Suppose -12 = -4*t - 4. Let k(b) be the first derivative of -1/3*b**t - 2/5*b**5 - 7/6*b**4 + 3 - 10/9*b**3 + 0*b. Factor k(o).
-2*o*(o + 1)**2*(3*o + 1)/3
Let s be (-2)/40 - 23/(-92). Let w(u) be the second derivative of -u - s*u**6 + 0 + 0*u**2 + 1/70*u**5 + 1/21*u**4 + 0*u**3. Factor w(x).
-2*x**2*(3*x - 1)*(7*x + 2)/7
Let r(j) be the second derivative of 3*j**7/14 - j**6/5 - 3*j**5/5 + j**4/2 + j**3/2 + 39*j. Let r(s) = 0. What is s?
-1, -1/3, 0, 1
Let j be 5/3 + 2/6. Let a(c) be the third derivative of 1/21*c**4 + 0*c - j*c**2 - 1/210*c**5 + 0 - 4/21*c**3. Determine t, given that a(t) = 0.
2
Let r = 4/19 - -49/38. Suppose -7/2*n + 1 - r*n**3 + 4*n**2 = 0. What is n?
2/3, 1
Let u(v) = 7*v**2 - 3*v - 9. Let a(r) = 4*r**2 - 2*r - 5. Suppose 13 = 5*t - 3*w - 17, -3*t + 3*w + 24 = 0. Let h(c) = t*u(c) - 5*a(c). Factor h(p).
(p - 1)*(p + 2)
Let w(f) be the second derivative of 497/10*f**5 - 8*f**2 - 17*f**4 + 0 + 1568/15*f**6 - 68/3*f**3 - 3*f + 49*f**7. Let w(v) = 0. What is v?
-1, -2/7, 1/3
Let h(w) = -76*w**4 - 44*w**3 + 76*w**2 + 44*w - 34. Let k(o) = -7*o**4 - 4*o**3 + 7*o**2 + 4*o - 3. Let l(j) = 6*h(j) - 68*k(j). Factor l(a).
4*a*(a - 1)*(a + 1)*(5*a + 2)
Let l(m) = -2*m**2 + 4*m. Let q(n) = -2*n**2 + 4*n + 1. Let o(b) = -5*l(b) + 6*q(b). What is f in o(f) = 0?
-1, 3
Factor 32*l - 32*l - 3 + 3*l**2.
3*(l - 1)*(l + 1)
Let n(a) be the third derivative of 2/27*a**3 + 1/36*a**4 + 0 - 2*a**2 + 0*a + 1/270*a**5. Factor n(q).
2*(q + 1)*(q + 2)/9
Let c(l) be the first derivative of l**4/2 - 28*l**3 + 588*l**2 - 5488*l + 28. Factor c(u).
2*(u - 14)**3
Let l(o) = -5*o**4 - 4*o**3 + 21*o**2 + 6. Let q(y) = -5*y**4 - 5*y**3 + 20*y**2 + 5. Let r(f) = -5*l(f) + 6*q(f). Suppose r(m) = 0. What is m?
-3, 0, 1
Let a be (-6 + -1)*(-3)/3. Suppose 0 = 3*j + 4*r - 21, 5*r - 23 = -5*j + a. Find m, given that 1/3*m**j + 0*m**2 + 0 + 2/3*m**4 + 0*m + 1/3*m**5 = 0.
-1, 0
Suppose -8 = -l - 3*l. Factor l*m**4 - 3*m**2 - m**4 + 3*m**3 - 3*m + 2*m**4.
3*m*(m - 1)*(m + 1)**2
Solve 28*h**3 - 4 + 8*h**2 - 4 - 973*h + 945*h = 0 for h.
-1, -2/7, 1
Let s(o) be the first derivative of o**5/25 - o**4/10 - o**3/5 + 2*o**2/5 + 4*o/5 - 8. Solve s(f) = 0 for f.
-1, 2
Let k(w) be the third derivative of 0*w - 1/42*w**4 - 1/210*w**5 + 0 + 3*w**2 - 1/21*w**3. Determine y, given that k(y) = 0.
-1
Factor 4 - 2/3*l**2 - 10/3*l.
-2*(l - 1)*(l + 6)/3
Let t(x) be the third derivative of -x**7/2100 + x**5/300 + x**3/2 + 3*x**2. Let m(l) be the first derivative of t(l). Factor m(o).
-2*o*(o - 1)*(o + 1)/5
Factor 0*z + 2/3*z**3 + 0*z**2 + 0.
2*z**3/3
Let v(n) = -n**5 - n**4 - n - 1. Let f(w) = -4*w**5 - 17*w**4 + 12*w**3 - 6*w**2 - 6*w - 7. Let h(y) = 5*f(y) - 35*v(y). Factor h(r).
5*r*(r - 1)**3*(3*r - 1)
Let j(s) be the second derivative of -7/120*s**6 + 0 - 3/8*s**3 - s + 9/80*s**5 + 1/4*s**2 + 5/48*s**4. Suppose j(o) = 0. Calculate o.
-1, 2/7, 1
Let u(l) be the second derivative of -l**7/735 + l**5/210 - 2*l**2 + l. Let j(y) be the first derivative of u(y). Factor j(s).
-2*s**2*(s - 1)*(s + 1)/7
Let t = 14 + -13. Let f be (-7)/(-2) + -4 + t. Factor f + c + 1/2*c**2.
(c + 1)**2/2
Let p(w) be the first derivative of 9 - 17/3*w**2 + 4*w + 10/9*w**3. Factor p(g).
2*(g - 3)*(5*g - 2)/3
Let x = -3313 + 16342/5. Let i = x - -45. Solve -8/5*a**2 - 2/5*a + i*a**3 + 0 + 8/5*a**4 = 0.
-1, -1/4, 0, 1
Let z(n) = -10*n**3 + 26*n**2 - 20*n + 4. Let b(s) = -s**4 - 19*s**3 + 53*s**2 - 40*s + 7. Let g(f) = -2*b(f) + 5*z(f). Let g(q) = 0. Calculate q.
1, 3
Suppose 25 + 7 = 4*d. Let l = 12 - d. What is n in -l*n + 2*n**2 + 3*n - n**2 = 0?
0, 1
Let d(k) be the third derivative of -k**5/210 - k**4/42 + k**3/7 - 19*k**2. Find n such that d(n) = 0.
-3, 1
Let d = 59 + -59. Let n(s) be the second derivative of d*s**3 - 1/3*s**4 + 0 + 0*s**2 - s - 1/10*s**5. Find o, given that n(o) = 0.
-2, 0
Let w(z) = 19*z - 5*z - 21*z**2 + 9*z - 9 + z. Let r(h) = -5*h**2 + 6*h - 2. Let v(x) = 9*r(x) - 2*w(x). Factor v(i).
-3*i*(i - 2)
Let k be 5*2/((-10)/(-3)). Let 6*f - 24*f**2 + 4*f**4 + 2*f - 18*f**k + 4*f**4 + 6*f**4 = 0. Calculate f.
-1, 0, 2/7, 2
Let c be ((-33)/(-21) + -1)/((-6)/(-21)). Let -2/13*s**c + 0*s + 2/13 = 0. Calculate s.
-1, 1
Let y(z) be the third derivative of -z**5/90 + z**4/72 + z**3/3 - 58*z**2. Solve y(h) = 0 for h.
-3/2, 2
Let y(u) be the first derivative of 1/4*u**2 - 1/12*u**3 + 4 - 1/4*u. Factor y(v).
-(v - 1)**2/4
Solve -2/5*a**2 + 12/5*a + 14/5 = 0 for a.
-1, 7
Let s(k) be the first derivative of 0*k - 8/3*k**3 + 4 - 1/2*k**4 - 4*k**2. Factor s(t).
-2*t*(t + 2)**2
Factor 16/17 + 20/17*g - 2/17*g**3 + 2/17*g**2.
-2*(g - 4)*(g + 1)*(g + 2)/17
Let p(v) be the first derivative of -v**4/22 + 4*v**3/33 + 3*v**2/11 - 25. What is b in p(b) = 0?
-1, 0, 3
Let c(y) = -y**4 + y**3 + y**2 - 11*y - 5. Let j(b) = b**4 - b**3 - b**2 + 17*b + 8. Let x(i) = -8*c(i) - 5*j(i). Factor x(w).
3*w*(w - 1)**2*(w + 1)
Let j be -1 + (-1 - (-26)/18). Let y = 43/45 + j. Determine a, given that 6/5*a**3 + 0 - 6/5*a**2 + y*a - 2/5*a**4 = 0.
0, 1
Let r(z) be the first derivative of z**4/2 + z**3/2 - 3*z**2/2 + z - 8. Let h(y) be the first derivative of r(y). Suppose h(d) = 0. Calculate d.
-1, 1/2
Let z(y) be the third derivative of 0*y**3 + 1/180*y**5 + 0 + 0*y + 0*y**4 + 6*y**2. Factor z(h).
h**2/3
Let s(a) be the third derivative of -1/40*a**5 - 1/6*a**3 + 0*a - 5/48*a**4 + a**2 + 0. Determine d, given that s(d) = 0.
-1, -2/3
Let m(i) be the first derivative of 2*i**6 - 45*i**5 + 1455*i**4/4 - 1170*i**3 + 810*i**2 + 648*i + 18. Find l, given that m(l) = 0.
-1/4, 1, 6
Factor -4*j**2 + j + 8*j**2 + 0*j**2 - 3*j**2.
j*(j + 1)
Factor -3/2*n**2 - 6*n - 9/2.
-3*(n + 1)*(n + 3)/2
Suppose -7*l = 4*r - 3*l - 12, 32 = 4*r - l. Find u such that r - 7 - 2*u**3 + 2*u**2 = 0.
0, 1
Determine i, given that -2/5*i**2 + 2/5 + 0*i = 0.
-1, 1
Let o be ((-4)/(-3))/(4 + 50/(-15)). Let d(c) be the first derivative of -1/3*c**3 + c + 4 + 7/8*c**4 - 7/4*c**o. Determine w so that d(w) = 0.
-1, 2/7, 1
Suppose -1/9*h**2 + 1/9*h + 0 = 0. What is h?
0, 1
Let i(p) = -1. Let n(j) = 7*j**2 - 3*j - 5. Let o(y) = 6*i(y) - n(y). Let b(d) = 10*d**2 - 4*d + 1. Let a(g) = -5*b(g) - 7*o(g). Factor a(f).
-(f - 1)*(f + 2)
Let j = 6 + -13. Let s = -4 - j. Determine u, given that -4*u**2 - 2*u**3 + 2*u**2 + s - 1 - u + 3*u = 0.
-1, 1
Let f(m) = m**2 + m - 1. Let u(o) = 6*o**2 + 17*o + 6. Let v(n) = 10*f(n) - 2*u(n). Factor v(j).
-2*(j + 1)*(j + 11)
Find z such that -2/7*z**5 + 0*z - 6/7*z**3 + 0 - 2/7*z**2 - 6/7*z**4 = 0.
-1, 0
Let h(y) be the first derivative of -y**3/9 - 7*y**2/2 - 20*y/3 - 70. Let h(l) = 0. Calculate l.
-20, -1
Determine r, given that 2/9*r**4 - 2/9*r**2 + 2/9*r + 0 - 2/9*r**3 = 0.
-1, 0, 1
Let p(i) be the third derivative o