 third derivative of -1/30*o**5 + 0*o + 1/60*o**6 + 1/105*o**7 - 2*o**2 + 0 + 0*o**3 - 1/12*o**4. Factor m(v).
2*v*(v - 1)*(v + 1)**2
Let d(q) = -6*q - 1. Let o be d(-1). Let s(k) = 13*k**2 - 19*k - 4. Let u(i) = i + 1 - 1 + i**2. Let t(y) = o*u(y) + s(y). Suppose t(c) = 0. Calculate c.
-2/9, 1
What is j in 2*j**4 - j**2 - 5*j**2 + 2*j**2 - 6*j**3 - 4*j**4 = 0?
-2, -1, 0
Let q = -21 - -17. Let l be 9/(9/4) + q. Determine i so that -2/3*i**2 + 0*i**3 + 2/3*i**4 + 0 + l*i = 0.
-1, 0, 1
Let k(b) be the first derivative of 3 + 1/3*b**3 + 1/3*b - 1/2*b**2 - 1/12*b**4. Determine v, given that k(v) = 0.
1
Let c(g) be the first derivative of -5*g**6/2 - 2*g**5 + 5*g**4/4 - 19. Find s, given that c(s) = 0.
-1, 0, 1/3
Let r(z) = z**2 + 9*z - 8. Let v be r(-10). Suppose -h + 20 = -3*b, 0*b = -3*h + v*b + 25. Solve 3*u**3 + u**4 - 3 + 9*u**2 - 4*u**4 - 3*u + 2 - h = 0.
-1, 1, 2
Let n(h) = -h**2 - h + 12. Let u be n(3). Determine r so that 2/3*r**4 - 2/3*r**3 + 0*r**2 + u + 0*r = 0.
0, 1
Let s(v) be the second derivative of -v**4/90 - v**3/45 - 7*v. Factor s(n).
-2*n*(n + 1)/15
Let t(b) be the second derivative of -3*b**4/22 + 7*b**3/11 - 12*b**2/11 - 17*b. Factor t(q).
-6*(q - 1)*(3*q - 4)/11
Suppose -23 = -3*x - q, -4*x + 3*q = -0*q - 35. Suppose -4*n + v - 7 + 17 = 0, -x = -4*v. What is m in n - m**2 + 1 - 3 = 0?
-1, 1
Let m(y) be the third derivative of -1/420*y**6 + 0*y + 1/70*y**5 + 0 + 0*y**3 - 1/42*y**4 - y**2. Find j, given that m(j) = 0.
0, 1, 2
Determine w, given that 88*w**2 - 4*w**3 - 61*w**2 + 10*w - 46*w + 12 - 2*w**3 = 0.
1/2, 2
Let t be 8/(-18)*-3*-3. Let a = -26/7 - t. Suppose 0 + a*q**2 + 2/7*q = 0. Calculate q.
-1, 0
Let q(v) be the second derivative of -v**5/160 - v**4/32 + 5*v**3/24 - 27*v. Factor q(l).
-l*(l - 2)*(l + 5)/8
Suppose 0*n**3 + 0 + 0*n**4 + 4/3*n**5 + 0*n**2 + 0*n = 0. What is n?
0
Let n(o) = -7*o**2 + 19*o - 12. Let r(i) = -56*i**2 + 180*i - 116. Let p(y) = y**2 + y - 1. Let t(q) = 8*p(q) - r(q). Let w(l) = -28*n(l) - 3*t(l). Factor w(g).
4*(g - 3)*(g - 1)
Let u(i) = 4*i**5 + 6*i**4 + i**3 - 3*i**2 - 5*i. Let a(x) = -9*x**5 - 13*x**4 - 2*x**3 + 6*x**2 + 11*x. Let j(g) = -3*a(g) - 7*u(g). Factor j(z).
-z*(z - 1)*(z + 1)**2*(z + 2)
Let c be 35/15 + 2/(-1). Let n(r) be the first derivative of 0*r + 0*r**3 + 0*r**2 + 0*r**5 - 1 + 1/2*r**4 - c*r**6. Suppose n(g) = 0. Calculate g.
-1, 0, 1
Factor -5*z - 3*z - 2*z + 5*z**2.
5*z*(z - 2)
Factor 0 + w**4 + 3/2*w**3 + 1/4*w + w**2 + 1/4*w**5.
w*(w + 1)**4/4
Suppose -b + 6*b - 16 = 3*r, 3*b - 12 = 3*r. Suppose o - b*v - 10 = 6*o, -o = 3*v + 15. Factor 0 + o*h - 3/2*h**2.
-3*h**2/2
Let b be (-2 - 1)/(-2 - -1). Let g be b + -4 - 6/(-2). Determine q so that -2*q**3 - 4 + g*q**2 + 2*q**2 - 7*q**2 - 10*q - 5*q**2 = 0.
-2, -1
Let t(w) be the third derivative of w**10/302400 - w**8/20160 + w**6/1440 - w**5/12 - 3*w**2. Let j(n) be the third derivative of t(n). Factor j(d).
(d - 1)**2*(d + 1)**2/2
Find j, given that 6/7 + 10/7*j + 2/7*j**2 - 2/7*j**3 = 0.
-1, 3
Let x(d) be the first derivative of -d**6/24 + d**5/5 - 5*d**4/16 + d**3/6 + 5. Determine l so that x(l) = 0.
0, 1, 2
Let h(r) be the second derivative of r**7/126 + r**6/30 + r**5/30 - r**4/18 - r**3/6 - r**2/6 + 11*r. Find a, given that h(a) = 0.
-1, 1
Let b(r) be the first derivative of -8*r**4/3 + r**2/3 - 10. Factor b(y).
-2*y*(4*y - 1)*(4*y + 1)/3
Let c(s) = -s**2 + s. Let x(y) = -4*y**2 - 2*y + 2. Let g(t) = 5*c(t) - x(t). Let d be g(6). Factor -6/7*n**3 + 2/7*n**d - 2/7*n + 0 + 6/7*n**2.
2*n*(n - 1)**3/7
Let x(i) = -i - 1. Let p(r) = 5*r**2 - 2*r - 2. Let k(f) = p(f) - 2*x(f). Suppose k(w) = 0. What is w?
0
Let l(i) = -5*i**2 + i + 4. Let k(c) = 6*c**2 - 2*c - 4. Let m(u) = 3*k(u) + 4*l(u). Factor m(d).
-2*(d - 1)*(d + 2)
Let i be (((-3)/(-4))/3)/((-42)/(-224)). Factor -q + i*q**3 + 0*q**2 + 1/3.
(q + 1)*(2*q - 1)**2/3
Solve 31*u**4 - 48*u**2 - 6*u**4 - 8 + 44*u - 2*u**4 - 4*u**3 - 7*u**4 = 0 for u.
-2, 1/4, 1
Let c(d) be the first derivative of 4 + 1/4*d + 1/12*d**3 - 1/4*d**2. Factor c(r).
(r - 1)**2/4
Let b(k) = k**2 + 9*k + 2. Let y be b(-9). Suppose 3*p + 5*t = -6, -3*p + 18 = -y*t - t. What is i in 2/9*i**4 - 4/9*i - 2/9 + 0*i**2 + 4/9*i**p = 0?
-1, 1
Let p(f) = 3*f**2 + 6*f + 11. Let y(j) = 7*j**2 + 12*j + 23. Suppose -3*q + 5*q = -10. Let g(v) = q*p(v) + 2*y(v). Factor g(m).
-(m + 3)**2
Factor -5*b**2 - 4*b**3 - 1 + 1 + 9*b**2 + 8*b.
-4*b*(b - 2)*(b + 1)
Let i(h) be the first derivative of 4/5*h**5 + 0*h - 3/2*h**4 + 4/3*h**3 - 1/2*h**2 + 9 - 1/6*h**6. Suppose i(a) = 0. Calculate a.
0, 1
Let d be 1 - 1/(2 + -3). Suppose 4*y**2 + 8*y + 4 - 2 + 4*y**d = 0. What is y?
-1/2
Let y(x) = -x**5 + 5*x**4 - 8*x**3 - x**2 + 7*x - 3. Let u(i) = -i**3 - i + 1. Let w(r) = -2*u(r) + 2*y(r). What is h in w(h) = 0?
-1, 1, 2
Let q(x) be the first derivative of 3*x**4/16 - x**3/2 + 3. Factor q(m).
3*m**2*(m - 2)/4
Let v(x) be the third derivative of -x**5/300 - x**4/40 + 3*x**2. Factor v(m).
-m*(m + 3)/5
Suppose -3*m + 3 = 3*i, 0 = 2*i - 4*m - 4 - 4. Suppose i*h = -h + 6. Factor -4/9*r + 2/9 + 2/9*r**h.
2*(r - 1)**2/9
Suppose 0 = 3*q - 4 - 5. Suppose 0 = -4*o + 5*j + 11 + 6, q*j = 2*o - 9. Let o*s - 2*s + 0*s + s**3 - 2*s**2 = 0. What is s?
0, 1
Let j(v) = v**3 + 4*v**2 + 3*v + 3. Let c be j(-3). Let y(r) be the second derivative of -3/70*r**5 + 2/7*r**2 + 1/7*r**c + 0 - 1/21*r**4 + 2*r. Factor y(w).
-2*(w - 1)*(w + 1)*(3*w + 2)/7
Find s, given that -14/9*s**4 + 16/9 - 80/9*s**3 - 20/9*s - 34/3*s**2 = 0.
-4, -1, 2/7
Determine a, given that 2*a + a**2 - 6*a**3 + 6*a**2 - 11*a**2 = 0.
-1, 0, 1/3
Let w(m) be the third derivative of m**8/1176 - m**7/735 - m**6/105 + 2*m**5/105 + 9*m**2 + 2. Let w(q) = 0. Calculate q.
-2, 0, 1, 2
Let k(x) be the first derivative of x**6/9 + 4*x**5/15 - 4*x**3/9 - x**2/3 - 3. What is z in k(z) = 0?
-1, 0, 1
Let t(m) be the first derivative of 1/2*m**3 + 0*m**2 + 2 - 3/4*m - 3/20*m**5 + 0*m**4. What is l in t(l) = 0?
-1, 1
Let n(r) be the third derivative of 9*r**8/7 + 132*r**7/35 + 97*r**6/40 - 43*r**5/20 - 2*r**4 + 2*r**3 - 6*r**2. Suppose n(j) = 0. What is j?
-1, -2/3, 1/4
Let h(d) be the second derivative of -d**5/60 + d**4/36 + 2*d**3/9 - 2*d**2/3 - 14*d. Determine c so that h(c) = 0.
-2, 1, 2
Let i(y) = y**3 + 13*y**2 - 2*y - 26. Let l be i(-13). Let t(k) be the first derivative of -1 + 1/3*k**3 + l*k - k**2. Suppose t(p) = 0. What is p?
0, 2
Let b(o) be the second derivative of o**7/2016 - 7*o**6/2880 + o**5/240 + 2*o**4/3 - 10*o. Let k(r) be the third derivative of b(r). Let k(s) = 0. Calculate s.
2/5, 1
Let u(m) be the second derivative of -m**7/70 + m**6/10 - 27*m**5/100 + 7*m**4/20 - m**3/5 - 2*m. Factor u(z).
-3*z*(z - 2)*(z - 1)**3/5
Let i(j) be the first derivative of 1/5*j**5 + 1/2*j**2 + 0*j + 6 - 1/4*j**4 - 1/3*j**3. Let i(x) = 0. What is x?
-1, 0, 1
Let 2*c + c**2 - 5*c**2 + 2*c**3 + 2*c**2 - 6*c = 0. Calculate c.
-1, 0, 2
Let w be ((-10)/(-4))/(3/6). Suppose -3*r - 15 = 2*c, r - w = 2*r. Determine l, given that c - 1/3*l - 1/3*l**4 - l**2 - l**3 = 0.
-1, 0
Factor 1/7*k**4 + 0*k**2 + 0*k + 1/7*k**3 + 0.
k**3*(k + 1)/7
Determine f so that f**2 + 1/8*f**5 - 1/4*f**4 + 0 + 0*f - 1/2*f**3 = 0.
-2, 0, 2
Factor -8/3*i + 1/3*i**2 + 16/3.
(i - 4)**2/3
Let x(d) be the first derivative of 22*d**3/39 + d**2 + 4*d/13 - 7. Factor x(z).
2*(z + 1)*(11*z + 2)/13
Let y(c) = 10*c**3 + 10*c**2 + 10*c - 5. Let j(g) = 9*g**3 + 10*g**2 + 9*g - 4. Let o(z) = 5*j(z) - 4*y(z). Factor o(q).
5*q*(q + 1)**2
Let j be ((-16)/(-16))/(1/2). Suppose -3*g + 5*i + 8 = -6, j*g + 4*i = 2. Factor 8/5 + 2/5*t**5 + 10*t**2 + 32/5*t + 38/5*t**g + 14/5*t**4.
2*(t + 1)**3*(t + 2)**2/5
Suppose 0 = m, 0 = -s + m + 7 - 2. Suppose 2*c + 0 = -s*k + 7, -1 = 3*k - 4*c. Find y, given that -4*y + k + y + y**2 + 5*y + 0 = 0.
-1
Suppose -3*h - 14 = 5*b, 0*h = -2*h - b. Let k be (-2)/(-4) + h/(-8). Factor -k - 1/4*r**3 + 1/4*r**2 + 1/4*r.
-(r - 1)**2*(r + 1)/4
Let u = -34 - -172/5. Solve 2/5*d**2 + u*d**3 - 2/5 - 2/5*d = 0.
-1, 1
Let h(b) = b + 5. Let z be h(-4). Let u be 6*-4*z/(-6). Factor -3*y**2 + 3*y**2 - u*y**2 + 2*y + 2*y**2.
-2*y*(y - 1)
Let r = -53756/65 + 827. Let l = 133/195 + r. Let 0*f**4 + f**3 - 1/3*f**5 + 0*f - l*f**2 + 0 = 0. Calculate f.
-2, 0, 1
Let k be (-100 + 0)*(-49)/16094. Let q = 2/619 + k. Factor -2/13*a**2 - q + 6/