(k) be the second derivative of z(k). Factor o(d).
-(d + 1)*(4*d + 1)/3
Let v = 1 - -1. Let l(a) = -a**2 + 5*a - 3. Let x be l(3). Find q, given that -q - 5*q - 2*q**x + q**2 + v + 5*q**2 = 0.
1
Let 3/2*n**5 + 0*n + 0*n**2 + 3/2*n**3 + 0 - 3*n**4 = 0. Calculate n.
0, 1
Let c(k) be the second derivative of k**6/30 - k**4/6 + k**2/2 - 2*k. What is z in c(z) = 0?
-1, 1
Let o(y) be the first derivative of 0*y**2 - 1/10*y**4 - 4 + 0*y + 0*y**3 - 1/25*y**5. Solve o(i) = 0.
-2, 0
Let c(u) be the third derivative of -u**6/24 + 5*u**5/12 - 5*u**4/3 + 10*u**3/3 - 9*u**2. Determine j, given that c(j) = 0.
1, 2
Determine d so that -2*d + 0*d + 0 - 8 + 4*d**2 + 6*d = 0.
-2, 1
Factor -4/3*c + 1/3*c**2 - 4/3 + 1/3*c**3.
(c - 2)*(c + 1)*(c + 2)/3
Let c = -49/5 - -10. Let s(z) be the first derivative of 2 + 1/9*z**3 + 0*z**2 + 0*z - 1/4*z**4 + c*z**5 - 1/18*z**6. Find j, given that s(j) = 0.
0, 1
Factor 0*c**2 + 0*c + 0 + 2/7*c**4 + 4/7*c**3.
2*c**3*(c + 2)/7
Let h(i) = 7*i**2 - 25*i - 23. Let p(l) = -3*l**2 + 12*l + 12. Let u(n) = 4*h(n) + 9*p(n). Factor u(q).
(q + 4)**2
Let r(j) be the second derivative of j**7/42 - j**6/30 - j**5/20 + j**4/12 + 2*j. Factor r(o).
o**2*(o - 1)**2*(o + 1)
Let v be ((-732)/(-60))/(2/(-74)). Let p = 455 + v. Factor -3/5*u**5 - 3/5*u - 12/5*u**2 - p*u**3 - 12/5*u**4 + 0.
-3*u*(u + 1)**4/5
Suppose -2*b - 3*x + 12 = 0, 0 = b + 3*x - 6. Factor -5*l + 6*l**3 - b*l**4 + 2*l**5 - l - 2*l**2 + 6*l.
2*l**2*(l - 1)**3
Let s be (2 - -2)/((-2)/(-5)). Let u = s + -10. Find f such that 0*f**4 + 0 + u*f + 1/2*f**5 - 3/2*f**3 + f**2 = 0.
-2, 0, 1
Let d = -6 + 8. Let s(h) be the third derivative of 0 + 1/30*h**5 + 0*h + 1/3*h**3 + 1/6*h**4 + h**d. Suppose s(c) = 0. What is c?
-1
Let y(d) be the third derivative of d**8/336 - d**6/120 - d**2. Solve y(l) = 0 for l.
-1, 0, 1
Let d(s) be the third derivative of s**2 + 0*s**3 + 1/6*s**4 + 0*s - 25/336*s**8 - 1/3*s**5 + 7/40*s**6 + 2/21*s**7 + 0. Suppose d(r) = 0. What is r?
-1, 0, 2/5, 1
Solve -i + 1/5*i**3 + 3/5 + 1/5*i**2 = 0 for i.
-3, 1
Let n(z) be the third derivative of z**5/120 + z**4/12 + z**3/4 + 3*z**2. Let n(f) = 0. What is f?
-3, -1
Suppose -2*a - a = 0. Suppose -6*c + 9*c = a. Factor c*s**2 + 0*s**2 + 2*s**4 + 0*s**2.
2*s**4
Let a(l) be the second derivative of l**6/900 - l**3/6 + l. Let j(x) be the second derivative of a(x). What is w in j(w) = 0?
0
Let d(x) be the second derivative of x**7/98 + 2*x**6/35 + 9*x**5/70 + x**4/7 + x**3/14 + 34*x. Determine n, given that d(n) = 0.
-1, 0
Let k(t) be the first derivative of -4/11*t**2 + 8/11*t + 2/33*t**3 - 3. Factor k(n).
2*(n - 2)**2/11
Suppose j - 1 - 1/4*j**2 = 0. What is j?
2
Let i(t) be the third derivative of 0*t + 1/780*t**6 - 1/195*t**5 + 0*t**3 + 3*t**2 + 0 + 1/156*t**4. Find q, given that i(q) = 0.
0, 1
Let h(v) be the first derivative of 5*v**6/3 + 5*v**5 - 15*v**4/4 - 40*v**3/3 + 10*v**2 - 29. What is g in h(g) = 0?
-2, 0, 1/2, 1
Let b(w) = 3*w**4 + 7*w**3 + 5*w**2 + w. Let g(l) = -7*l**4 - 15*l**3 - 9*l**2 - l. Let z(n) = -5*b(n) - 2*g(n). Suppose z(y) = 0. Calculate y.
-3, -1, 0
Factor 0*l**2 - 2/13*l**3 + 0 + 2/13*l.
-2*l*(l - 1)*(l + 1)/13
Let l(h) be the third derivative of h**5/45 + h**4/18 - 4*h**2. Determine g so that l(g) = 0.
-1, 0
Let j(z) be the second derivative of z**7/140 - z**6/40 - z**5/40 + z**4/8 - 3*z**2/2 - 3*z. Let m(v) be the first derivative of j(v). Factor m(a).
3*a*(a - 2)*(a - 1)*(a + 1)/2
Let n(l) = 64*l + 130. Let s be n(-2). Factor 8/5*a - 2/5*a**s - 6/5.
-2*(a - 3)*(a - 1)/5
Let a be (-18)/(-10) - 8/(-40). Factor 12*l**a + 2 + 10*l + 2*l**2 - 7 + 1.
2*(l + 1)*(7*l - 2)
Let y(k) be the first derivative of -k**6/3 - 2*k**5/5 + k**4 + 4*k**3/3 - k**2 - 2*k + 5. Factor y(c).
-2*(c - 1)**2*(c + 1)**3
Let h(w) be the third derivative of w**8/840 - w**7/210 + w**6/180 + 2*w**3/3 - w**2. Let q(s) be the first derivative of h(s). Factor q(u).
2*u**2*(u - 1)**2
Find s such that -2*s + 2*s + 3*s**3 - 3*s + 3*s**4 - 6*s**2 + 3*s**2 = 0.
-1, 0, 1
Let h(j) be the first derivative of 4*j**5/5 - 8*j**4 + 64*j**3/3 + 30. Find c, given that h(c) = 0.
0, 4
Let x(g) = g**2 - g. Let n be x(-1). Let d be n/14 - 13/(-7). Factor 4 + 3*s**3 - 4*s**3 - d*s - 2 - 6*s**2 + 3*s**3 + 4*s**4.
2*(s - 1)*(s + 1)**2*(2*s - 1)
Let r be -4*5/(220/(-6)) + 0. Let -18/11*s**3 + 0 + r*s**2 + 4/11*s - 20/11*s**4 = 0. Calculate s.
-1, -2/5, 0, 1/2
Suppose -3*o = 2*f - 13, -3*o - 5*f + 7 + 3 = 0. Factor 6*x**4 + x**2 - o*x**2 + 4*x**3 + 2*x**2.
2*x**2*(x + 1)*(3*x - 1)
Let g(j) be the first derivative of -j**5/240 + j**4/48 - j**3/24 + j**2 - 1. Let u(b) be the second derivative of g(b). Solve u(x) = 0.
1
Let t be (-7)/14 - (-2)/4. Let 2/5*f**3 + 1/5*f**2 - 1/5*f**4 + t - 2/5*f = 0. Calculate f.
-1, 0, 1, 2
Determine u, given that 0 + 0*u**3 + 0*u - 2/7*u**4 + 2/7*u**2 = 0.
-1, 0, 1
Let f(i) be the first derivative of -i**5/40 - i**4/8 + i**2 + 2*i + 3. Let u(j) be the first derivative of f(j). Factor u(a).
-(a - 1)*(a + 2)**2/2
Let w(c) be the second derivative of c**6/135 - 2*c**5/45 + 2*c**4/27 - c. Suppose w(a) = 0. What is a?
0, 2
Let a(u) be the third derivative of u**6/720 + 7*u**5/360 + 5*u**4/48 + u**3/4 - 2*u**2. Factor a(m).
(m + 1)*(m + 3)**2/6
Suppose 18*d = -0*d. Factor 0 - 1/5*a**2 + d*a.
-a**2/5
Suppose 3*d - 8 = 1. Suppose -26 + 8 = -d*n. Factor y**3 - 4*y + 2*y**2 - 2*y**3 - n*y**2.
-y*(y + 2)**2
Let f(b) be the first derivative of 2*b**5/5 - 2*b**4 + 2*b**3 + 4*b**2 - 8*b + 22. Find i such that f(i) = 0.
-1, 1, 2
Let p(i) be the first derivative of 0*i + i**3 + i**2 + 5 + 1/4*i**4. Solve p(n) = 0 for n.
-2, -1, 0
Factor -4/5*c**4 - 72/5*c + 0 + 12/5*c**2 + 16/5*c**3.
-4*c*(c - 3)**2*(c + 2)/5
Let c(j) = j**5 + 2*j**4 - 39*j**3 - 15*j**2 - 7. Let w(y) = -y**4 + 20*y**3 + 8*y**2 + 4. Let h(f) = 4*c(f) + 7*w(f). Find r, given that h(r) = 0.
-2, -1/4, 0, 2
Let l(g) = -150*g**2 + 81*g - 15. Let a(b) = 7 - 163*b + 299*b**2 + 7 + 15. Let s(h) = -3*a(h) - 5*l(h). Let s(f) = 0. What is f?
2/7
Let m(l) be the third derivative of l**9/15120 - 11*l**8/60480 + l**7/7560 + 7*l**5/60 - 4*l**2. Let z(d) be the third derivative of m(d). Factor z(o).
o*(3*o - 2)*(4*o - 1)/3
Let x(g) be the first derivative of -3*g**4/16 - g**3 - 24. Suppose x(r) = 0. Calculate r.
-4, 0
Let j be (-11)/(-51) + (-7)/((-238)/4). Suppose -j*v**2 + 0 - 1/3*v = 0. What is v?
-1, 0
Let k = 38 + -38. Let j(c) be the third derivative of 0*c + 2*c**2 + 0*c**3 - 1/420*c**6 + 0 - 1/210*c**5 + k*c**4. Suppose j(x) = 0. Calculate x.
-1, 0
Let u(i) be the first derivative of -2 - 2*i**3 - 3*i**2 - 2*i - 1/2*i**4. What is m in u(m) = 0?
-1
Let b = 79 - 235/3. Suppose 4*y = 2*q, 2*y - 4*y - 3*q = -16. Solve b*n - 1/3 - 1/3*n**y = 0.
1
Suppose y - 4 = -2*i, y - 2*i - i = -6. Let b be (-3 + y + 3)/1. Factor b*t**2 + 9*t**2 - 3*t**3 - 6*t + 0*t.
-3*t*(t - 2)*(t - 1)
Let h(f) = -f**3 - 5*f**2 - 5*f - 1. Let n(v) = v**3 + v**2 + v + 1. Suppose -2*d - 10 = 5*o + 8, -2*d - o - 2 = 0. Let z(t) = d*h(t) - n(t). Factor z(j).
-2*(j + 1)**3
Let y = -19/2 + 11. Find b, given that b - y + 1/2*b**2 = 0.
-3, 1
Let u be ((-16)/(-6))/((-6)/(-9)). Let 2*c**2 - 4*c**2 - u*c + 7 - 9 = 0. What is c?
-1
Let w(u) = -14*u**3 + 32*u**2 + 9*u - 10. Let f(x) = 5*x**3 - 11*x**2 - 3*x + 3. Let y(a) = 17*f(a) + 6*w(a). Find n, given that y(n) = 0.
-3, 1
Let x(a) = 10*a + 400. Let f be x(-40). Suppose 0*g**4 + 0*g + 0 + f*g**2 + 2/13*g**3 - 2/13*g**5 = 0. What is g?
-1, 0, 1
Solve 56 - 75*o - 4*o**2 - 252 + 19*o = 0.
-7
Let p(q) be the first derivative of -q**6/30 - q**5/20 + q**4/12 + q**3/6 - 4*q + 1. Let l(m) be the first derivative of p(m). Factor l(f).
-f*(f - 1)*(f + 1)**2
Let a = 2427/2 - 1206. Determine w so that a*w**3 - 9*w**4 - 15/2*w + 15/2*w**2 + 3/2 = 0.
-1, 1/3, 1/2, 1
Let a be (6/8)/((-30)/(-1090)). Let q = a + -27. Suppose 0*z**2 + 0*z**4 + 1/4*z**5 - q*z**3 + 0 + 0*z = 0. What is z?
-1, 0, 1
Let h(x) be the first derivative of -1/12*x**3 + 0*x - 2 - 1/8*x**2. Factor h(o).
-o*(o + 1)/4
Determine l so that 71*l**4 + 0*l**2 - 2*l**2 - 69*l**4 + l**3 - l**5 = 0.
-1, 0, 1, 2
Factor 0*g - 7/4*g**3 + 0 + 0*g**2 + 1/4*g**5 + 3/2*g**4.
g**3*(g - 1)*(g + 7)/4
Let x(h) be the second derivative of -h**7/10080 + h**6/960 - h**5/240 + h**4/3 + 3*h. Let i(f) be the third derivative of x(f). Factor 