- 7*r. Let s be v(4). Let h(j) be the third derivative of 2*j**2 + 0*j**3 - 1/12*j**s + 0 + 0*j + 1/30*j**5. Factor h(z).
2*z*(z - 1)
Let q(p) be the first derivative of -p**5 + 5*p**4/4 + 10*p**3/3 + 22. What is v in q(v) = 0?
-1, 0, 2
Factor -12/7*f**3 + 0 + 12/7*f**2 + 3/7*f**4 + 0*f.
3*f**2*(f - 2)**2/7
Let f(q) = -q**4 + q**3 - q**2 + 1. Let w(d) = -30*d**4 - 15*d**3 + 40*d**2 + 10*d - 5. Let a(y) = 5*f(y) + w(y). Factor a(h).
-5*h*(h - 1)*(h + 1)*(7*h + 2)
Let o(a) be the third derivative of 7*a**6/300 - 8*a**5/75 + a**4/15 + 4*a**2. Let o(d) = 0. What is d?
0, 2/7, 2
Let u = 827 - 3447/4. Let a = 35 + u. Factor -1/2*j**3 + 1/4 + 0*j**2 - a*j**4 + 1/2*j.
-(j - 1)*(j + 1)**3/4
Let f(g) be the first derivative of 3 - 1/10*g**4 + 4/15*g**3 - 1/5*g**2 + 0*g. Find r such that f(r) = 0.
0, 1
Let w(d) be the second derivative of -d**2 + 0 + 0*d**3 - 1/660*d**6 + 2*d + 1/110*d**5 - 1/66*d**4. Let m(b) be the first derivative of w(b). Factor m(g).
-2*g*(g - 2)*(g - 1)/11
Let h(p) be the first derivative of -5*p**4/4 + 5*p**2/2 - 20. Factor h(t).
-5*t*(t - 1)*(t + 1)
Let r(p) be the second derivative of p**4/60 + p**3/30 - p**2/5 - 9*p. Factor r(b).
(b - 1)*(b + 2)/5
Let g(w) = -3*w - 3. Let j be g(-2). Factor -6*z**j + 1 - 2*z**4 - 8*z + 2*z**3 - 3 - 12*z**2 - 4*z**3.
-2*(z + 1)**4
Let c(i) be the first derivative of 21*i**5/20 + 4*i**4 + 11*i**3/2 + 3*i**2 - 2*i + 4. Let h(k) be the first derivative of c(k). Let h(u) = 0. Calculate u.
-1, -2/7
Let k = -3151/7 - -451. Factor 6/7*m + k*m**2 + 2/7 + 2/7*m**3.
2*(m + 1)**3/7
Let w(k) be the first derivative of -k**6/21 - 2*k**5/35 + 4*k**4/7 + 16*k**3/21 - 16*k**2/7 - 32*k/7 - 3. Find f, given that w(f) = 0.
-2, -1, 2
Find j such that -18*j**4 + j**2 + 10*j**3 - 6*j**2 + 13*j**4 = 0.
0, 1
Solve 1/4*f**3 + 0*f + 1/4*f**2 + 0 = 0.
-1, 0
Let w be ((-6)/4)/(2/(-4)). Let -2/11 - 2/11*p + 2/11*p**2 + 2/11*p**w = 0. Calculate p.
-1, 1
Let p(v) = v**3 + 3*v**2 + 4*v + 4. Let f(m) = -m**3 - 2*m**2 - 3*m - 3. Let i(h) = 4*f(h) + 3*p(h). Let i(k) = 0. What is k?
0, 1
Suppose -3*v = -3, -o - o = -5*v + 1. Solve q**2 - 3*q + 3*q**3 + 4*q**o - 2*q**2 - 3 = 0.
-1, 1
Let 2*g - 2/11*g**2 + 24/11 = 0. What is g?
-1, 12
Let h(n) be the first derivative of 2*n**5/5 - 2*n**4 + 2*n**3 + 4*n**2 - 8*n - 30. Solve h(f) = 0 for f.
-1, 1, 2
Let h(l) be the third derivative of 1/3*l**3 + 2*l**2 - 1/60*l**5 + 0*l + 0 + 1/8*l**4. Let w(v) = v**2. Let b(t) = 3*h(t) + 6*w(t). Solve b(c) = 0 for c.
-2, -1
Let p be ((-31)/3 - -11)*6/28. Determine u so that 0*u**2 + p*u**3 + 0 + 0*u = 0.
0
Let y(p) = 4*p + 2. Let m be y(3). Suppose 2*u + 4*s + m = 0, -s = u + 3*u. Factor -u + 1 + 2*b - 2*b**2.
-2*b*(b - 1)
Let a(h) be the first derivative of -h**6/180 + h**5/15 - h**4/3 + 2*h**3 - 1. Let p(i) be the third derivative of a(i). Suppose p(g) = 0. Calculate g.
2
Let a = -5815/7 + 828. Let c = a + 97/28. Factor -1/2 + 1/4*l**2 - c*l + 1/4*l**4 + 3/4*l**3.
(l - 1)*(l + 1)**2*(l + 2)/4
Let u(m) be the third derivative of m**7/35 - 2*m**6/15 + m**5/10 + m**4/6 + 7*m**2. Factor u(j).
2*j*(j - 2)*(j - 1)*(3*j + 1)
Factor -10*f**2 + 5*f**2 + 5*f**3 + f**4 + 4*f**4 - 5*f.
5*f*(f - 1)*(f + 1)**2
Factor 0*d + 0*d**2 + 1/2*d**4 + 0 - 3/2*d**3.
d**3*(d - 3)/2
Factor 6*j**3 + j**4 + 5*j**4 + 4*j**2 - 4*j**4.
2*j**2*(j + 1)*(j + 2)
Let i(g) be the first derivative of -g**4/26 + 2*g**3/13 - 2*g**2/13 + 2. Factor i(v).
-2*v*(v - 2)*(v - 1)/13
Let g(i) be the second derivative of 4*i**7/21 - i**6/15 - 4*i**5/5 + i**4/3 + 4*i**3/3 - i**2 + 4*i. Determine f, given that g(f) = 0.
-1, 1/4, 1
Let f(r) be the third derivative of r**8/1680 + r**4/24 + 3*r**2. Let m(s) be the second derivative of f(s). Let m(a) = 0. Calculate a.
0
Let k(s) be the first derivative of -s**6/60 + s**5/15 + 3*s**2/2 - 1. Let c(z) be the second derivative of k(z). Find j, given that c(j) = 0.
0, 2
Let b be (-2)/(-10) + 72/15. Let z(r) be the first derivative of 1/2*r + 1/4*r**4 + 0*r**3 - 2 - 1/10*r**b - 1/2*r**2. Determine j, given that z(j) = 0.
-1, 1
Let x(z) = z**2 - 5*z + 4. Let b be x(5). Suppose -2*o - 14 = -4*o + b*y, -o + 5*y = -13. What is h in -9*h + h**o + h**2 - h**4 + 9*h - h**5 = 0?
-1, 0, 1
Let k be -123*(1 - (-4)/(-3)). Let t = -17 + k. Suppose -5 + 9*m + 4 + t*m**4 + 2*m**3 - 23*m**2 + 5*m**3 - 16*m**5 = 0. What is m?
-1, 1/4, 1
Let t = 20 - 18. Let -2/5*c**4 + 0 - 8/5*c**5 + 24/5*c**3 - 2*c**t - 4/5*c = 0. What is c?
-2, -1/4, 0, 1
Let b(k) be the second derivative of -3/4*k**4 - 3*k + 3/20*k**5 + 0 + 3/2*k**3 - 3/2*k**2. Find w such that b(w) = 0.
1
Let s be (0*(-2)/6)/2. Let s + 40/3*n**3 - 26/3*n**2 - 6*n**4 + 4/3*n = 0. Calculate n.
0, 2/9, 1
Let q(x) be the first derivative of x**6/240 - x**5/40 - 3*x**4/16 + 4*x**3/3 - 3. Let b(u) be the third derivative of q(u). Suppose b(c) = 0. Calculate c.
-1, 3
Determine m, given that -42*m + 72*m - 5*m**2 - 20*m**3 + 7*m**4 - 12*m**4 = 0.
-3, -2, 0, 1
Let a(k) = 2*k**2 - 2*k - 4. Let x(b) = -b - 1. Let j(q) = 3*a(q) - 15*x(q). Find z such that j(z) = 0.
-1, -1/2
Let t be ((-54)/15 - -2)/(-2). Factor 0*x - t*x**3 - 2/5*x**4 + 0 + 0*x**2 + 2/5*x**5.
2*x**3*(x - 2)*(x + 1)/5
Let c = -80 + 45. Let m be 2/14 + 5/c. Suppose -1/3*l**3 + 0*l**2 - 1/3*l**4 + m*l + 0 = 0. Calculate l.
-1, 0
Let p(a) be the first derivative of 3 + 0*a - 3/4*a**4 + a**2 - a**3 + 7/5*a**5 - 1/2*a**6. Determine k, given that p(k) = 0.
-2/3, 0, 1
Let g(b) = 6*b**2 + 2*b - 8. Let c(p) = p**2 + p + 1. Let m(x) = 4*c(x) - g(x). Factor m(r).
-2*(r - 3)*(r + 2)
Factor 99/8*r**2 + 21/2*r**3 - 27/4*r + 0 + 15/8*r**4.
3*r*(r + 3)**2*(5*r - 2)/8
Let b(p) be the first derivative of 2*p**4/7 + 2*p**3/7 - p**2/7 + 3. Factor b(j).
2*j*(j + 1)*(4*j - 1)/7
Let y = 20/7 - 53/21. Let -n**2 + 2/3 - y*n = 0. What is n?
-1, 2/3
Let a(l) be the first derivative of l**7/210 + l**6/60 + l**5/60 - l**2 + 3. Let z(i) be the second derivative of a(i). Find v, given that z(v) = 0.
-1, 0
Let n be (-152)/36 - (-2)/9. Let a be (-3)/(-6)*n/(-5). Determine h so that 2/5*h - 2/5 + 2/5*h**2 - a*h**3 = 0.
-1, 1
Let q(o) be the first derivative of 3*o**5 + 9*o**4/4 - 2*o**3 - 5. Suppose q(z) = 0. What is z?
-1, 0, 2/5
Let i(d) = -d**4 - 7*d**3 + 5*d**2 - 3*d - 4. Let b(z) = -z**3 + z**2 - z - 1. Let l(p) = -15*b(p) + 3*i(p). Factor l(n).
-3*(n - 1)*(n + 1)**3
Suppose 5*o + 0*d - 3*d = 32, -4*o + 12 = d. Factor -3 - q + 1 + 3 - 3*q + o*q**2.
(2*q - 1)**2
Let w(y) = y + 1. Let m be w(2). What is z in 2*z**2 + m*z - z + 0*z - z**2 = 0?
-2, 0
Let n(w) = 2*w**4 - 10*w**3 - 20*w**2 + 8*w. Let r(k) = -k**4 + 3*k**3 + 7*k**2 - 3*k. Let p(s) = 3*n(s) + 8*r(s). Factor p(v).
-2*v**2*(v + 1)*(v + 2)
Factor 8*p**2 + 15*p - 46*p - 14*p - 38*p**2 - 5*p**3.
-5*p*(p + 3)**2
Let l = 3949/7 + -564. Factor 0*i + l*i**2 + 0.
i**2/7
Let j be 2 - (-4 + 4/(-2)). Factor 6*z**3 + 0*z**4 + 0*z**4 - z**2 - z**2 - j*z**5.
-2*z**2*(z + 1)*(2*z - 1)**2
Let r = -26 - -28. Let q(k) be the first derivative of -1 + 0*k + 1/2*k**r + 1/3*k**3. Solve q(a) = 0.
-1, 0
Factor 2/11*y + 30/11*y**3 - 14/11*y**2 - 18/11*y**4 + 0.
-2*y*(y - 1)*(3*y - 1)**2/11
Let l be -1 + -4 + (5 - 6) + 6. Factor 1/4*n**3 + 0*n**4 + 0*n - 1/4*n**5 + 0*n**2 + l.
-n**3*(n - 1)*(n + 1)/4
Let o(f) = 2*f**2 - 5*f - 4. Let r(h) = -7*h**2 + 19*h + 15. Let p(v) = 22*o(v) + 6*r(v). Factor p(i).
2*(i + 1)**2
Let l(q) = 10*q**4 - 20*q**3 + 10*q**2 + 10*q - 10. Let s(j) = 10*j**4 - 21*j**3 + 11*j**2 + 9*j - 9. Let x(v) = -4*l(v) + 5*s(v). Find i such that x(i) = 0.
-1/2, 1
Let a(w) be the third derivative of w**8/16800 + w**7/1575 + w**6/360 + w**5/150 + 5*w**4/24 - 5*w**2. Let p(z) be the second derivative of a(z). Factor p(m).
2*(m + 1)**2*(m + 2)/5
Let s = 85 + -81. Let i(l) be the third derivative of 3*l**2 + 0*l + 0 + 4/21*l**s + 3/140*l**6 + 4/21*l**3 + 1/10*l**5. Suppose i(j) = 0. What is j?
-1, -2/3
Let l be 2*(2 + -1 + 1). Factor 2 - l + 2*b**3 + 2.
2*b**3
Find c, given that 6*c**2 + 21/2*c - 3 = 0.
-2, 1/4
Find f such that 5/6*f - 5/6*f**3 - 5/6*f**2 + 5/6*f**4 + 0 = 0.
-1, 0, 1
Let s = 4 + 0. Suppose 8 = -2*k + s*j, 3*k + 3*j = 6 + 9. Solve 3*c**2 - c**4 - 2 - c**k + 1 = 0 for c.
-1, 1
Let g(r) be the first derivative of r**3/6 + 3*r**2/4 - 2*r + 11. Find a such that g(a) = 0.
-4, 1
Factor o - 4*o**3 + 168*o**5 + 2*o**2 - 4*o**4 + 2*o**4 - 165*