(r).
2*r**2*(r - 12)
Let c(q) be the third derivative of q**5/240 - 7*q**4/48 - 55*q**2. Factor c(w).
w*(w - 14)/4
Suppose 10/9*r**2 - 4/9*r + 2/9*r**4 - 8/9*r**3 + 0 = 0. Calculate r.
0, 1, 2
Let c(n) = 2*n**4 - 28*n**3 - 65*n**2 - 35*n + 3. Let k(t) = -25*t**4 + 335*t**3 + 780*t**2 + 420*t - 35. Let x(r) = -35*c(r) - 3*k(r). Factor x(w).
5*w*(w - 7)*(w + 1)**2
Let a(s) = 5*s**4 - s**3 - 11*s**2 - 8*s + 3. Let l(k) = k**4 + k**3 + k**2 + 1. Let h(m) = a(m) - 3*l(m). Find r, given that h(r) = 0.
-1, 0, 4
Let x(g) be the second derivative of g**4/84 - 13*g**3/42 + 3*g**2 - 61*g - 2. Factor x(i).
(i - 7)*(i - 6)/7
Let s(y) be the third derivative of -81/4*y**3 + 11*y**2 - 9/8*y**4 + 0*y + 0 - 1/40*y**5. Find v, given that s(v) = 0.
-9
Let -2/13*b**2 + 0 - 30/13*b = 0. What is b?
-15, 0
Factor -128/5 + 32/5*l - 2/5*l**2.
-2*(l - 8)**2/5
Let g(u) be the first derivative of u**4/4 + u**3/3 + 2*u - 2. Let n be g(0). Factor -3*h - 2*h**n + 2*h - h - 4*h.
-2*h*(h + 3)
Let u(s) be the third derivative of 0*s**4 + 0*s + 0 - 1/480*s**5 - 1/960*s**6 - 22*s**2 + 0*s**3. Solve u(d) = 0.
-1, 0
Factor 7*l**2 - 16*l**2 + 24*l + 55 - 6*l**2 + 19*l**3 - 19 - 22*l**3.
-3*(l - 2)*(l + 1)*(l + 6)
Let d(m) be the second derivative of 0*m**3 - 36*m + 0 + 3/20*m**5 - 3/4*m**4 + 6*m**2. Let d(q) = 0. Calculate q.
-1, 2
Let s(f) be the first derivative of -f**6/24 + 7*f**5/20 + f**4/8 - 23*f**3/6 - 65*f**2/8 - 25*f/4 - 39. Factor s(l).
-(l - 5)**2*(l + 1)**3/4
Let n(i) = 38*i. Let w be n(-1). Let v be w/(-20) - (-7 - (-259)/35). Factor 0 + 0*c - v*c**2.
-3*c**2/2
Let o be ((-2)/(-4))/(3/18). Let y be ((-9)/(-6))/(o/6). Let -y*j**5 - 6*j**3 - 6*j**2 - 3 + 3*j + 6*j + 9*j**4 + 0*j**4 = 0. Calculate j.
-1, 1
Find g such that 15*g**2 - 60*g + 114 - 34 - g**3 + 14 - 15*g + 31 = 0.
5
Let d be (-39)/(-297) + 262/(-22) + 12. Factor 0 + d*b**2 - 8/9*b.
2*b*(b - 4)/9
Let x(y) be the third derivative of -32*y**2 + 13/24*y**4 + 7/6*y**3 - 1/120*y**6 + 0*y + 0 + 1/12*y**5. Factor x(s).
-(s - 7)*(s + 1)**2
Suppose 7 = -4*i + 5*i. Suppose 62*f + 36*f**2 + 10 + 34*f + 47 + 4*f**3 + i = 0. What is f?
-4, -1
Factor -6 + 499*f**3 + 14*f + 14*f - 483*f**3 - 38*f**2.
2*(f - 1)**2*(8*f - 3)
Let r be (-222)/(-21) + 4/(-7). Let v be -5 + 1 + r + -4. Factor 1/4*h**v + 3/2*h + 9/4.
(h + 3)**2/4
Let z be 2/(4/599) - (-145)/58. Let g = z + -898/3. Suppose -g*f**2 - 2/3*f - 2/3*f**5 + 0 - 8/3*f**4 - 4*f**3 = 0. What is f?
-1, 0
Let t(p) be the third derivative of 0 - 12*p**2 - 1/9*p**3 - 1/90*p**5 + 1/18*p**4 + 0*p. Factor t(u).
-2*(u - 1)**2/3
Let q(n) be the third derivative of n**9/90720 - n**8/13440 + n**6/1080 - n**4/4 - 3*n**2. Let k(i) be the second derivative of q(i). Solve k(z) = 0 for z.
-1, 0, 2
Let c = 5 + -3. Let u(k) be the first derivative of k**3 - 2*k**2 - 3*k**2 + 4 + 9*k + k**2 - 2*k**c. Factor u(j).
3*(j - 3)*(j - 1)
Let s(c) be the first derivative of 0*c + 0*c**2 - 1/40*c**5 - 1/180*c**6 - 1/24*c**4 - 3 - c**3. Let t(m) be the third derivative of s(m). Factor t(k).
-(k + 1)*(2*k + 1)
Let i be ((-80)/56)/10 + 1/5. Let z(o) be the first derivative of 4/7*o + i*o**5 + 6/7*o**3 - 1 - o**2 - 5/14*o**4. Determine p, given that z(p) = 0.
1, 2
Let k = -14957/2 - -7479. Let -1/4*q**4 + 3/4*q**3 + 1/4*q**2 + 0 - 1/4*q**5 - k*q = 0. What is q?
-2, -1, 0, 1
Let m(u) = -45*u**4 - 60*u**3 - 8*u**2 + 12*u - 1. Let s(n) = n**3 + n**2 - n + 1. Let o(b) = -m(b) - 3*s(b). Find y such that o(y) = 0.
-1, -1/3, 2/5
Let u(h) be the first derivative of -5*h**4/4 + 10*h**3 + 75*h**2/2 + 40*h - 10. Suppose u(r) = 0. Calculate r.
-1, 8
Let a(g) be the second derivative of -5*g**9/3024 + g**8/336 + g**7/28 - 11*g**3/2 + 32*g. Let q(l) be the second derivative of a(l). Find j such that q(j) = 0.
-2, 0, 3
Let m be ((-2)/(-3))/((8/(-414))/(-2)). Let g = m + -66. Factor -5/3*u**g + 1/3*u**4 - 4/3*u + 8/3*u**2 + 0.
u*(u - 2)**2*(u - 1)/3
Factor -27/2*v - 3/4*v**4 + 3/2*v**3 + 0 + 27/4*v**2.
-3*v*(v - 3)*(v - 2)*(v + 3)/4
Let p(i) be the first derivative of i**4/5 + 2*i**3/15 - 8*i**2/5 + 2*i + 95. Factor p(s).
2*(s - 1)**2*(2*s + 5)/5
Let v(d) be the first derivative of -3*d**5/25 + 3*d**4/4 - 8*d**3/5 + 6*d**2/5 + 20. Factor v(h).
-3*h*(h - 2)**2*(h - 1)/5
Suppose -64/3 - 4/3*d**3 - 44/3*d**2 - 104/3*d = 0. What is d?
-8, -2, -1
Let o(j) be the first derivative of 2*j**3/63 + 11*j**2/21 + 12*j/7 + 272. Factor o(t).
2*(t + 2)*(t + 9)/21
Let v(m) be the first derivative of -5*m**6/18 - 6*m**5/5 + 23*m**4/12 + 44*m**3/9 - 10*m**2 + 16*m/3 + 8. Determine b so that v(b) = 0.
-4, -2, 2/5, 1
Suppose -3 = -12*a - 3. Let o(f) be the first derivative of 2/3*f**6 + a*f + 0*f**2 + 2/3*f**3 - 4 + 2*f**4 + 2*f**5. Solve o(k) = 0 for k.
-1, -1/2, 0
Let j(u) = -3 + 27 + 20 + 48*u + 6 + 26*u**2. Let a(v) = 9*v**2 + 16*v + 17. Let d(b) = -14*a(b) + 5*j(b). Factor d(n).
4*(n + 1)*(n + 3)
Factor 23/4*y**2 - 3/2*y + 0 - 7/4*y**3.
-y*(y - 3)*(7*y - 2)/4
Let g(o) be the first derivative of -o**6/2 + 3*o**5/5 + 3*o**4/2 - 2*o**3 - 3*o**2/2 + 3*o + 38. Factor g(t).
-3*(t - 1)**3*(t + 1)**2
Let g(w) = -4*w**3 - 23*w**2 - 49*w - 15. Let l(f) = 6*f**3 + 34*f**2 + 74*f + 22. Let s(p) = 8*g(p) + 5*l(p). Factor s(y).
-2*(y + 1)**2*(y + 5)
Let s(l) be the third derivative of 0 + 4*l**2 + 1/12*l**3 - 1/120*l**5 + 0*l**4 + 0*l. Factor s(r).
-(r - 1)*(r + 1)/2
Let t(g) be the third derivative of 1/1020*g**6 + 0 + 0*g - 1/102*g**5 + 3/17*g**3 - 11*g**2 + 1/68*g**4. Factor t(y).
2*(y - 3)**2*(y + 1)/17
Let g be ((-24)/22)/(11 - (-246)/(-22)). Let j(l) be the third derivative of 1/64*l**4 - 1/960*l**g + 0 + 1/24*l**3 - 7*l**2 + 0*l**5 + 0*l. Factor j(t).
-(t - 2)*(t + 1)**2/8
Let k(y) = -y**2 - 364*y - 78. Let t(w) = 183*w + 40. Let c(i) = 4*k(i) + 9*t(i). Let c(d) = 0. What is d?
-1/4, 48
Let r be 16/(-12)*3/(-2). Suppose r*x + 4*z - 26 = -3*x, -3*z + 16 = 2*x. Factor 2*h + 9 + 4*h - 4*h**x - 8*h**3 + 2*h**5 - 5.
2*(h - 2)*(h - 1)*(h + 1)**3
Let k(m) = -11*m**4 - 7*m**3 + 6*m**2 + 7*m. Let y(a) = -2*a**4 - a**3 - a**2 - a. Let r(g) = k(g) - 5*y(g). Factor r(p).
-p*(p - 3)*(p + 1)*(p + 4)
Let t be 1/(-6) - (-7 + (-1078)/(-165)). Let j(q) be the second derivative of t*q**5 + 3/2*q**2 + 0 - q**3 - 1/4*q**4 + 6*q. Factor j(x).
3*(x - 1)*(x + 1)*(2*x - 1)
Let i(n) be the second derivative of 2*n**6/15 + 8*n**5/5 + 128*n. Let i(r) = 0. Calculate r.
-8, 0
Let b(z) = 8*z**3 + z. Let h be b(1). Suppose -6*j + 3*j = 5*k + h, -k + 4*j = -12. Factor 0*p + 1/3*p**2 + 1/3*p**4 + k - 2/3*p**3.
p**2*(p - 1)**2/3
Let f(k) be the third derivative of -1/10*k**6 - 4/105*k**7 - 2/15*k**5 + 0*k**3 - 8*k**2 - 1/12*k**4 - 1/168*k**8 + 0 + 0*k. What is g in f(g) = 0?
-1, 0
Let w be (8/32)/(2/4). Let h(z) be the first derivative of 3/4*z**2 - w*z**3 + 5 + 0*z. Factor h(m).
-3*m*(m - 1)/2
Let k = -5083 - -5086. Let 0*b + 0*b**k + 6/5*b**4 - 6/5*b**2 + 0 = 0. Calculate b.
-1, 0, 1
Suppose 11*x = 6*x. Let b(i) be the second derivative of 4/9*i**3 + 1/30*i**5 + 0*i**2 - 2*i + x - 2/9*i**4. Suppose b(q) = 0. Calculate q.
0, 2
Let f(k) be the third derivative of -k**6/120 - k**5/2 - 25*k**4/2 + k**3/2 + 26*k**2. Let q(p) be the first derivative of f(p). Factor q(b).
-3*(b + 10)**2
Suppose 0*u - 16 = -4*u. Suppose 16*n**4 - 7*n**4 - 17*n**2 + u*n - 6*n**3 + 0*n**3 + 6*n**2 + 4 = 0. Calculate n.
-2/3, 1
Determine j, given that -10/3*j**3 + 0 + 2/3*j**4 - 8/3*j + 16/3*j**2 = 0.
0, 1, 2
Let w(x) = -2*x**2 - 2*x - 1. Let c be w(-1). Let s be 3/6*(c - -10). Factor -11/2*r**3 + 2*r - 2*r**2 + s*r**5 + 0 + 3*r**4.
r*(r + 1)**2*(3*r - 2)**2/2
Suppose -4*y + 67 = w, 3*y = 4*w + 12 + 24. Suppose 4*x - y = -3*n, -3*x + 0 = 5*n - 23. Factor 0*h**2 + 2/9*h + 0 - 4/9*h**3 + 2/9*h**5 + 0*h**n.
2*h*(h - 1)**2*(h + 1)**2/9
Let x(l) = l**4 - 3*l**3 - l**2 - l - 1. Let p(m) = -m**5 - 85*m**4 - 1667*m**3 - 1515*m**2 + 1684*m + 1604. Let k(h) = p(h) + 4*x(h). What is u in k(u) = 0?
-40, -1, 1
Factor -128/3 - 608/3*q - 146/3*q**2 - 3*q**3.
-(q + 8)**2*(9*q + 2)/3
Let m(c) = -12*c**5 + 55*c**4 - 65*c**3 + 62*c**2 - 5*c. Let k(s) = 4*s**5 - 18*s**4 + 22*s**3 - 20*s**2 + 2*s. Let d(h) = 7*k(h) + 2*m(h). Factor d(t).
4*t*(t - 1)**4
Let s = -2 - -4. Factor -3*o + 0*o + 13*o**2 - s*o - 18*o**2.
-5*o*(o + 1)
Let x(j) be the second derivative of -1/147*j**7 + 1/70*j**5 + 0*j**2 + 5 - 4*j + 0*j**4 + 0*