vative of -k**7/1260 - k**6/540 + k**5/180 + k**4/36 - 8*k**3/3 + 8. Let i(o) be the third derivative of u(o). Factor i(q).
-2*(q - 1)*(q + 1)**2/3
Suppose -4*j + 4*g + 12 = 0, 0*j = -5*j - 2*g + 8. Let q(u) be the first derivative of 2 - 1/6*u**j + 2/9*u**3 + 0*u - 1/12*u**4. Factor q(b).
-b*(b - 1)**2/3
Let m(b) be the first derivative of -3*b**5/20 + 3*b**4/8 + 3*b**3/4 - 3*b**2/2 - 3*b - 2. Factor m(t).
-3*(t - 2)**2*(t + 1)**2/4
Suppose 1/2*s**2 - 1/2 - 1/2*s + 1/2*s**3 = 0. What is s?
-1, 1
Let s = -3 + 11. Factor 8*l**2 - 8*l**2 - 2*l**3 + s*l**2 - 6*l.
-2*l*(l - 3)*(l - 1)
Let n(m) = m**2 - m - 1. Let u(d) = -2*d**3 - 12*d**2 + 8*d + 9. Let g(o) = -18*n(o) - 2*u(o). Let g(v) = 0. Calculate v.
-1, -1/2, 0
Let i be -3*((-264)/54)/11. Let i - 26/3*j**2 - 22/3*j**3 + 62/3*j**4 + 10/3*j - 28/3*j**5 = 0. Calculate j.
-1/2, -2/7, 1
Let v be (-2 - 2)*(-2 + 1). Let a(o) = o**3 + 5*o**2 - 2*o - 7. Let x be a(-5). Factor 4*m - m**v - 4*m**x - 3 + 1 + 3*m**4.
2*(m - 1)**3*(m + 1)
Let l(k) = -k**3 - k**2 + 2*k + 3. Let a be l(-2). Find h, given that -1/2*h + 3/4*h**2 + 0 - 5/2*h**4 + 9/4*h**a = 0.
-1/2, 0, 2/5, 1
Suppose -2*v = 5*p, -4*v = 13 + 7. What is q in 0*q + 0 + 2/7*q**p - 2/7*q**4 - 2/7*q**3 + 2/7*q**5 = 0?
-1, 0, 1
Let h be (-4 + 14)/2 - 0. Solve 4*q - 5*q**3 + 4*q**h - 18 + 18 - 3*q**3 = 0.
-1, 0, 1
Let t(x) be the third derivative of -x**5/390 - 5*x**4/156 - 4*x**3/39 + 9*x**2. Factor t(p).
-2*(p + 1)*(p + 4)/13
Let f be (8/7)/(14/49). Factor -14*m**3 + 20*m**2 - 14*m**3 + 14*m**f - 4*m - 2*m**4.
4*m*(m - 1)**2*(3*m - 1)
Suppose -34 = 2*s - 5*k, k + 0*k = -3*s - 34. Let y be ((-4)/s)/((-1)/(-9)). Factor -3*h**5 + 0*h**4 + 3*h**3 + 2*h**2 + 0*h**2 + y*h**4 - 5*h**2.
-3*h**2*(h - 1)**2*(h + 1)
Let g(w) be the second derivative of -1/30*w**6 + 1/12*w**4 + 1/12*w**3 - 1/84*w**7 + 0 + 0*w**5 + 0*w**2 + w. Find n such that g(n) = 0.
-1, 0, 1
Let r(k) = -k**3 - k + 2. Let a be r(0). Factor -1 - 2*b**3 + b**a - 2*b + 5*b**3 - b**3.
(b - 1)*(b + 1)*(2*b + 1)
Let t = 5969/956 + 3/478. Let 5*z**2 + t*z**3 + z + 0 = 0. What is z?
-2/5, 0
Let b(n) = -n**3 + 9*n**2 - 8*n. Let j be b(8). Let o be 1 - (-1 - j)*1. Let 0*t + 0*t**o - 2/11*t**5 + 0 - 2/11*t**4 + 0*t**3 = 0. What is t?
-1, 0
Let z(v) be the first derivative of -v**9/672 + v**8/560 + v**7/560 - 2*v**3/3 - 2. Let c(g) be the third derivative of z(g). Find y, given that c(y) = 0.
-1/3, 0, 1
Let y(z) = -z - 8. Let p be y(-10). Suppose -u = -6*i + 3*i + 13, -p*u - 3*i = -19. Find l such that l**4 + l - 5*l**2 + 3*l**3 + u*l**2 + 3*l**2 + 3*l**2 = 0.
-1, 0
Suppose -3*j = -7 - 2. Let h be -3 - ((-20)/(-16))/(2/(-8)). Factor -3*c**h + c**5 + j*c**2 - c**4.
c**4*(c - 1)
Let t(j) be the third derivative of -j**7/105 + j**6/20 - j**5/15 - 9*j**2. Factor t(r).
-2*r**2*(r - 2)*(r - 1)
Let v(h) be the second derivative of 0*h**3 + 2/5*h**6 - 27/20*h**5 + 0*h**2 + 0 + 1/2*h**4 + 4*h. Factor v(d).
3*d**2*(d - 2)*(4*d - 1)
Let u(p) be the second derivative of p**5/210 - p**4/28 + 2*p**3/21 - p**2/2 - p. Let c(i) be the first derivative of u(i). Suppose c(m) = 0. What is m?
1, 2
Let m(f) be the first derivative of -f**4/30 - 2*f**3/15 + 8*f/15 + 9. Factor m(n).
-2*(n - 1)*(n + 2)**2/15
Let d(w) be the first derivative of -15/26*w**4 - 14/39*w**3 - 18/65*w**5 - 1/13*w**2 + 0*w - 4. Suppose d(q) = 0. Calculate q.
-1, -1/3, 0
Let p(r) be the third derivative of 1/105*r**5 + 0 + 5/84*r**4 + 2/21*r**3 + 0*r + 4*r**2. Factor p(l).
2*(l + 2)*(2*l + 1)/7
Let h = 700/99 - 62/9. Factor -h*f**3 - 2/11*f**4 + 0 + 2/11*f**2 + 2/11*f.
-2*f*(f - 1)*(f + 1)**2/11
Factor -3/5*n - 3/5*n**2 + 0.
-3*n*(n + 1)/5
Solve 15/4*u**2 + 0*u + 5/4*u**4 + 5*u**3 + 0 = 0 for u.
-3, -1, 0
Let l be 8/(-20) - (-24)/(-15). Let y be (l/4)/(1/(-16)). Factor -14*b + y*b - b**2 + 4*b.
-b*(b + 2)
Let k(l) be the third derivative of 3*l**8/560 - l**7/175 - l**6/50 + l**5/50 + l**4/40 + 3*l**2. Let k(d) = 0. What is d?
-1, -1/3, 0, 1
Let y(z) = 22*z**3 - 24*z**2 + 14*z - 12. Let m(n) = n**3 + n**2 - n - 1. Let i = 7 + 4. Let d = 19 - i. Let g(q) = d*m(q) - y(q). Determine x so that g(x) = 0.
2/7, 1
Factor -h - 2 + 3*h**3 + 2*h**2 + 4*h - 6*h.
(h - 1)*(h + 1)*(3*h + 2)
Let w(a) be the second derivative of 0*a**2 + 1/18*a**3 - 1/36*a**4 - 3*a + 0. Factor w(x).
-x*(x - 1)/3
Let k = -650 + 655. Find n such that 4*n**2 - 3/4*n**3 + 0 - n - 4*n**4 + 7/4*n**k = 0.
-1, 0, 2/7, 1, 2
Let a be 1 + -4 + 11/((-88)/(-24)). Factor 6/7*d - 4/7*d**2 - 2/7*d**3 + a.
-2*d*(d - 1)*(d + 3)/7
Let h(a) be the third derivative of -a**5/20 - 5*a**4/4 - 25*a**3/2 - a**2. Factor h(c).
-3*(c + 5)**2
Let h(v) be the second derivative of -v**7/63 - v**6/45 - 9*v. Solve h(a) = 0.
-1, 0
Let r(s) be the second derivative of s**4/36 - s**2/6 + 14*s. Suppose r(y) = 0. Calculate y.
-1, 1
Let t(k) be the first derivative of -3*k**5/5 + 3*k**3 - 3*k**2 + 29. Let t(n) = 0. Calculate n.
-2, 0, 1
Let m(a) be the third derivative of a**7/525 - a**6/75 + a**5/25 - a**4/15 + a**3/15 - a**2. Factor m(i).
2*(i - 1)**4/5
Suppose 1467*c**4 + 10*c**3 - 25 + 26*c - 1462*c**4 - 60*c**2 + 44*c = 0. What is c?
-5, 1
Suppose 3*s + 62 = 899. Let -36 + s - 5*t**3 - 31*t**3 + 3*t**4 + 162*t**2 - 324*t = 0. What is t?
3
Let i(p) be the second derivative of p**5/5 + p**4/6 - p**3/3 + p. Suppose i(q) = 0. Calculate q.
-1, 0, 1/2
Let u be 5 - (-5)/(5/(-1)). Suppose -u*w = -5*w. Factor -1/4*x + 0 + 1/4*x**5 + 1/2*x**4 + w*x**3 - 1/2*x**2.
x*(x - 1)*(x + 1)**3/4
Let j(k) = -6*k**5 + 39*k**4 + 75*k**3 + 9*k**2 + 21*k - 21. Let b(c) = c**5 - 8*c**4 - 15*c**3 - 2*c**2 - 4*c + 4. Let p(w) = -21*b(w) - 4*j(w). Factor p(l).
3*l**2*(l + 1)**2*(l + 2)
Let w(v) = 4*v**2 + 27*v - 5. Let n be w(-7). Find b, given that -4/3*b + n*b**2 + 0 = 0.
0, 2/3
Suppose 10 + 8/5*q**2 - 8*q = 0. Calculate q.
5/2
Factor 2/19*w**4 + 0*w**3 - 4/19*w**2 + 0*w + 2/19.
2*(w - 1)**2*(w + 1)**2/19
Let i(u) be the third derivative of u**5/70 - 5*u**4/84 + 2*u**3/21 + 11*u**2. Factor i(h).
2*(h - 1)*(3*h - 2)/7
Let t(x) be the second derivative of x**7/70 + x**6/50 - 3*x**5/100 - x**4/20 - 5*x. Factor t(m).
3*m**2*(m - 1)*(m + 1)**2/5
Factor -5*y**3 + 61*y**2 - 61*y**2.
-5*y**3
Suppose -b = 14 - 16. Solve 3*j + 12*j**3 + j + 21*j**2 - 2 - 2 - j**b = 0.
-1, 1/3
Let c(f) = -f**2 + 1. Let g(x) = -135*x**3 + 25*x**2 + 45*x - 35. Let k(m) = 25*c(m) + g(m). Determine l so that k(l) = 0.
-2/3, 1/3
Let w(v) be the third derivative of v**5/30 + v**4/3 + v**3 + 2*v**2. Factor w(m).
2*(m + 1)*(m + 3)
Let t(c) be the first derivative of 1/30*c**5 - 1 + 2*c + 0*c**3 + 1/18*c**4 + 0*c**2. Let d(u) be the first derivative of t(u). Solve d(m) = 0 for m.
-1, 0
Suppose 0 = -3*x + 5*n + 24, 0 = 5*x - 10*n + 5*n - 30. Find m such that 4*m - 2*m**x + 3*m**2 - 2*m + 5*m**4 - 3*m**4 - 5*m**2 = 0.
-1, 0, 1
Let s(a) = -3*a**2 - 27*a - 12. Let c(l) = 2*l**2 + 27*l + 13. Let h(v) = -2*c(v) - 3*s(v). Factor h(z).
(z + 5)*(5*z + 2)
Let q(y) = -4*y**3 - 5*y**2 + 8*y - 1. Let x(d) = d**2 + 1. Let n(r) = q(r) + x(r). Factor n(c).
-4*c*(c - 1)*(c + 2)
Suppose 0 = -n + 4*n. Let s be 20/54*(n + 3). Let -2/3*t**2 + 2/9 - 4/9*t**4 + s*t**3 - 2/9*t = 0. What is t?
-1/2, 1
Let j be 37/35 + (-3 - 66/(-21)). What is q in -2/5 + 2*q**2 - j*q**3 - 2/5*q = 0?
-1/3, 1
Let w(t) = -2*t**2 + 6*t**3 - 6*t + 2*t**3 + 10*t**4 - 2*t**3 + 16*t. Let a(n) = n**4 + n**3 + n. Let i(u) = -8*a(u) + w(u). Factor i(h).
2*h*(h - 1)**2*(h + 1)
Suppose -3*x - 12 = -2*x - 5*a, -x + 15 = 4*a. Factor -4*p**x - 20*p**5 + 32*p**4 - 3*p**2 + 4*p**2 - 6*p**2 - 3*p**2.
-4*p**2*(p - 1)**2*(5*p + 2)
Let s be (-2 + 2)/(-1 - 1). Suppose s = c - 6*c + 50. Factor 0*r - c*r**4 - 40/3*r**3 + 2/3 - 8/3*r**5 - 20/3*r**2.
-2*(r + 1)**4*(4*r - 1)/3
Let u be (14/35)/((-2)/(-10)). Let r(n) be the third derivative of 0*n + 0*n**3 + 0 - 1/60*n**6 + 0*n**4 + 0*n**5 - u*n**2 + 1/105*n**7. Factor r(f).
2*f**3*(f - 1)
Let o(n) be the third derivative of 5*n**8/336 + n**7/30 - 3*n**6/20 - 7*n**5/15 - n**4/3 + 34*n**2. Suppose o(d) = 0. Calculate d.
-2, -1, -2/5, 0, 2
Let s(m) = -2*m**2. Suppose -3*x + 3*l = 2 + 1, -9 = -3*l. Suppose -x*b = 2*b - 16. Let j(y) = 3*y**2. Let i(n) = b*j(n) + 5*s(n). Solve i(w) = 0 for w.
0
Suppose 5*w - 2*y + 12 = 0, 6*w - w = 5*y. Let c be (1 + -1)/(-5 - w). What is g in c - 1/2*g + 1/2*g**2 = 0?
0, 