 k, given that o(k) = 0.
-2, -1, 0
Factor -5/3*w**3 - 7/3*w**2 + 8/3*w + 4/3.
-(w - 1)*(w + 2)*(5*w + 2)/3
Let i = 79 - 473/6. Let x(q) be the first derivative of 1/6*q**4 + 1/6*q**2 + 0*q - 4/9*q**3 + 2 - i*q**6 + 4/15*q**5. Solve x(s) = 0.
-1, 0, 1/3, 1
Suppose -a - 16 = -5*a. Suppose -2*f = -0*f - a. Factor 0 - 5*o + 9*o**3 + 13*o - 12*o**2 - 2 - f*o**4 - o**3.
-2*(o - 1)**4
Factor 0*p**2 + 6/5*p**4 + 0 + 0*p - 18/5*p**3.
6*p**3*(p - 3)/5
Let q be 4 + 51/(-9) + 4 + -2. Factor 1/3*m - 4/3*m**2 + 2*m**3 + q*m**5 + 0 - 4/3*m**4.
m*(m - 1)**4/3
Let j(b) be the second derivative of -b**5/25 + b**4/15 - 8*b. Find d such that j(d) = 0.
0, 1
Let c(f) be the third derivative of 2*f**7/105 + f**6/15 - f**5/5 - 4*f**4/3 - 8*f**3/3 + 3*f**2. Determine b so that c(b) = 0.
-2, -1, 2
Let v(r) = -3*r**4 + 3*r**3 + 5*r**2 - 7*r - 8. Let b(g) = g**4 + g**3 + g**2 + g + 1. Let p(f) = -6*b(f) - 3*v(f). Suppose p(q) = 0. Calculate q.
-1, 1, 6
Let c(u) be the first derivative of -11/6*u**4 + 2/3*u**3 - 8/15*u**5 - 1 + 0*u**2 + 0*u. Factor c(l).
-2*l**2*(l + 3)*(4*l - 1)/3
Factor -30*o + 45 - 6*o + 6*o + 5*o**2.
5*(o - 3)**2
Let s(n) be the third derivative of n**5/12 - 5*n**4/6 + 5*n**3/2 - 2*n**2. Factor s(p).
5*(p - 3)*(p - 1)
Factor -a + 0*a - a**2 + 3*a - 4*a**3 + 3*a**3.
-a*(a - 1)*(a + 2)
Let j(r) = -5*r - 35. Let x be j(-8). What is t in 8/7*t**4 - 2/7*t**x - 4/7*t**2 + 10/7*t - 8/7*t**3 - 4/7 = 0?
-1, 1, 2
Suppose 2*a + 2*v + 11 = 3, -2*v = 8. Let d(l) be the third derivative of a*l**3 + 0*l + 0 + 1/60*l**6 + l**2 + 1/30*l**5 + 0*l**4. Factor d(n).
2*n**2*(n + 1)
Suppose 0 = -3*r + 50 - 32. Let v(b) be the third derivative of 1/120*b**r + 0*b**3 + 0 + 1/12*b**4 + 1/20*b**5 + 2*b**2 + 0*b. Factor v(s).
s*(s + 1)*(s + 2)
Let m(h) be the third derivative of -h**5/120 + 11*h**4/24 - 121*h**3/12 + 12*h**2 - 3. Factor m(w).
-(w - 11)**2/2
Let y = -6 + 6. Suppose 0 = -7*i + 3*i. Factor y - 1/4*b**2 + i*b.
-b**2/4
Let y be (-1372)/84*(-6)/(-9)*-1. Determine x, given that 0 + y*x**3 + 56/9*x**2 + 8/9*x = 0.
-2/7, 0
Factor -4/3*m + 0 - 2/3*m**2.
-2*m*(m + 2)/3
Let l(p) be the third derivative of -5*p**2 - 1/120*p**4 + 0 + 1/300*p**5 - 1/30*p**3 + 0*p + 1/600*p**6. Solve l(b) = 0 for b.
-1, 1
Let i(p) be the second derivative of 0 + 4*p - 1/3*p**3 + 0*p**2 + 1/12*p**4. Find q such that i(q) = 0.
0, 2
Let x = 0 + -2. Let j be ((-84)/45 - x)*5. Find q such that 4*q**2 - 8/3*q**3 + j*q**4 + 2/3 - 8/3*q = 0.
1
Suppose -3*f + 0 = -6. Suppose 4 = 2*s + f*n, 0 = -2*s - 5*n + 4. Factor 3*m**3 - s*m**5 + 0*m - 2*m + m**3.
-2*m*(m - 1)**2*(m + 1)**2
Let p(t) = -2*t**2 - 173*t - 893. Let g(x) = x**2 + 58*x + 298. Let s(y) = 7*g(y) + 2*p(y). Find q, given that s(q) = 0.
-10
Let o(q) be the third derivative of q**7/735 + q**6/420 - 4*q**5/105 - q**4/7 - 21*q**2. Let o(l) = 0. Calculate l.
-2, 0, 3
Find m such that m**5 + 2*m**3 - 3*m**4 - 3*m**2 + 5*m**2 + 0*m**2 - 3*m + 0*m**4 + 1 = 0.
-1, 1
Suppose -79 + 49 = -10*b. Factor -3/5 - 3/5*x**b - 9/5*x**2 - 9/5*x.
-3*(x + 1)**3/5
Determine x, given that 5*x + 5/2*x**2 - 15/2 = 0.
-3, 1
Let c be 7/14 + (-1)/2. Suppose c = -2*p - m + 5, 0*m - 5 = -5*p - m. Factor 7/6*x**4 - 1/3*x + p + 1/3*x**3 - 7/6*x**2.
x*(x - 1)*(x + 1)*(7*x + 2)/6
Let d(i) = 3*i**2 + 2 + 0 + 0. Let f(t) = -t**2 - 1. Let c be (-3)/18*-3*-4. Let v(a) = c*f(a) - d(a). Factor v(q).
-q**2
Let c = 68/3 + -22. Solve -c*f**5 + 0 - 2*f**4 + 0*f - 2/3*f**2 - 2*f**3 = 0.
-1, 0
Suppose -3*i = 5*o - 5 - 14, 2*i + 4 = 0. Let q(c) be the third derivative of 0*c - c**2 - 1/3*c**3 - 1/15*c**o + 0 - 3/8*c**4. Factor q(g).
-(g + 2)*(4*g + 1)
Let w(l) be the third derivative of 5*l**6/28 - 3*l**5/28 - 3*l**4/14 + 2*l**3/7 - l**2. Let w(j) = 0. What is j?
-1/2, 2/5
Let q(m) be the third derivative of m**8/672 + m**7/105 + m**6/60 - m**5/60 - 5*m**4/48 - m**3/6 - 14*m**2. Factor q(i).
(i - 1)*(i + 1)**3*(i + 2)/2
Suppose -2*n - 4*w = 14, n + 9 + 13 = -5*w. Suppose -j - n = -5. Factor -1 + 4*c + 4*c - 4*c**j - 3*c.
-(c - 1)*(4*c - 1)
Let c(q) be the third derivative of q**8/40320 + q**7/2520 + q**6/360 - q**5/60 - 5*q**2. Let u(h) be the third derivative of c(h). Factor u(f).
(f + 2)**2/2
Suppose 7*o = -2 + 37. Let x(f) be the second derivative of 0*f**4 + 2*f + 1/50*f**o - 1/5*f**3 - 2/5*f**2 + 0. Solve x(v) = 0 for v.
-1, 2
Let b(x) = -x**3 - 5*x**2 - 5*x + 2. Let k be b(-4). Let p(o) = 5*o**2 - 9*o + 4. Let c(q) = q - 1. Let r(f) = k*c(f) + p(f). Factor r(u).
(u - 1)*(5*u + 2)
Let f(q) be the second derivative of -3*q**6/40 + q**5/4 + q**4/4 + 3*q**2 - 6*q. Let y(m) be the first derivative of f(m). Factor y(u).
-3*u*(u - 2)*(3*u + 1)
Let x = 25 + -25. Let i = 0 + x. Factor -1/4*g**5 + 1/4*g**2 + 0*g + i + 1/4*g**3 - 1/4*g**4.
-g**2*(g - 1)*(g + 1)**2/4
Let p(n) = 2*n**2 + n - 3. Let y be p(-3). Solve 12*b - y - 3*b**2 - b + 2*b - b = 0.
2
Let s(n) be the third derivative of 1/210*n**7 + 1/6*n**3 + n**2 + 0 - 1/336*n**8 + 1/60*n**6 - 1/24*n**4 + 0*n - 1/30*n**5. Factor s(l).
-(l - 1)**3*(l + 1)**2
Let y = -755 + 760. Factor 0 + 0*b**4 + 0*b**2 + 0*b - 2/11*b**y + 0*b**3.
-2*b**5/11
Let q(u) = 9*u**2 + 16*u - 1. Let z(d) = -72*d**2 - 129*d + 9. Let m = -12 - -16. Let k(n) = m*z(n) + 33*q(n). Suppose k(c) = 0. Calculate c.
-1, -1/3
Let t(q) be the third derivative of -q**6/24 + q**5/12 + 5*q**4/12 + 14*q**2. Find n, given that t(n) = 0.
-1, 0, 2
Let m(q) = -q**4 - 4*q**3 + q**2 + 9*q - 5. Let o(n) = n - 5*n - n**3 + 2 + 3*n**3. Let v(a) = 2*m(a) + 5*o(a). Determine w so that v(w) = 0.
-1, 0, 1
Let a(j) be the third derivative of 0 + 0*j**3 - 1/315*j**7 + 0*j - 2*j**2 + 0*j**4 - 1/180*j**6 + 1/504*j**8 + 1/90*j**5. Factor a(b).
2*b**2*(b - 1)**2*(b + 1)/3
Let x(g) be the third derivative of 0 + 0*g**4 - 6*g**2 - 1/1260*g**7 + 0*g**5 + 1/2016*g**8 + 0*g**3 + 0*g + 0*g**6. What is d in x(d) = 0?
0, 1
Let k = 10 + -10. Suppose l = -s + 1, 4*s + k*s - 4 = 5*l. Factor -2*d - 23/2*d**3 + 7/2*d**4 + l + 10*d**2.
d*(d - 2)*(d - 1)*(7*d - 2)/2
Let x(r) = 10*r**4 + 10*r**3 - 7*r**2 + 7*r. Let b(k) = -7*k**4 - 7*k**3 + 5*k**2 - 5*k. Let h(n) = 7*b(n) + 5*x(n). Determine w, given that h(w) = 0.
-1, 0
Let h(q) be the second derivative of q**5/40 - q**4/24 + 6*q. Factor h(o).
o**2*(o - 1)/2
Let k be (-2*1/7)/(14/(-14)). Find p such that -2/7*p + k*p**3 + 2/7 - 2/7*p**2 = 0.
-1, 1
Let n(o) be the second derivative of 2*o**7/21 + 8*o**6/15 + 6*o**5/5 + 4*o**4/3 + 2*o**3/3 + 3*o. Factor n(x).
4*x*(x + 1)**4
Suppose 3*j = 2*b + 11, -3*j + 4*b = j - 12. Factor -1/2*n**j + 5/2*n**4 - 5/2*n - 5*n**3 + 1/2 + 5*n**2.
-(n - 1)**5/2
Let d be 2/(-3) + (-18)/(-27). Let h(k) be the first derivative of 1/9*k**3 - 1/6*k**4 + 1/15*k**5 + d*k + 2 + 0*k**2. Suppose h(w) = 0. Calculate w.
0, 1
Factor 27*s - 26*s + 0*s**2 + s**3 + 2*s**2.
s*(s + 1)**2
Let s be (27/(-12))/9 + (-1703)/(-364). Solve -13*y**3 + 4*y + 9*y**5 + s*y**4 - 4/7 - 27/7*y**2 = 0.
-1, 2/9, 2/7, 1
Let 40/7*t - 2/7*t**4 - 4/7*t**3 + 24/7 + 2*t**2 = 0. What is t?
-2, -1, 3
Let q(o) be the third derivative of o**7/21 + o**6/24 - o**5/6 - 5*o**4/24 - 11*o**2. Factor q(v).
5*v*(v - 1)*(v + 1)*(2*v + 1)
Let p(a) = -a + 18. Let u be p(8). Let s = -7 + u. Factor -4*o - 3*o**2 + 2*o - o**2 - 2*o**s.
-2*o*(o + 1)**2
Let z(m) = -m**3 + m**2. Let p be z(0). Factor p - 2 + 38*v**3 - v**2 - v + 3*v**2 - 37*v**3.
(v - 1)*(v + 1)*(v + 2)
Suppose 56*j + 11*j**2 + 25*j**2 - 32*j**2 - 60 = 0. What is j?
-15, 1
Let w(c) be the first derivative of -1/4*c**3 - 4 + 3/4*c**2 - 3/4*c. Let w(t) = 0. What is t?
1
Determine l so that 0*l + 0*l**2 + 0 + 4/5*l**4 - 2/5*l**5 - 2/5*l**3 = 0.
0, 1
Let t(z) be the second derivative of -z**8/13440 + z**7/5040 + z**6/720 + z**4/2 - 3*z. Let r(s) be the third derivative of t(s). Solve r(l) = 0.
-1, 0, 2
Let l(f) be the third derivative of f**2 - 1/168*f**8 - 4/105*f**7 + 0*f + 0 + 0*f**4 - 1/15*f**6 + 0*f**5 + 0*f**3. Find x such that l(x) = 0.
-2, 0
Let a = 15 + -13. Let q be a/(-6) + (-77)/(-105). Suppose -q + 0*j + 2/5*j**2 = 0. What is j?
-1, 1
Let y(z) be the second derivative of z**7/14 + 2*z**6/5 + 3*z**5/5 - z**4/2 - 5*z**3/2 - 3*z**2 + 9*z. Factor y(s).
3*(s - 1)*(s + 1)**3*(s + 2)
Let x(n) be the third derivative of -n**6/120 - n**5/20 - n**4/8 - n**3/6 - 4*n**2. Factor x(s).
-(s + 1)**3
Let h(k) be the first derivative o