 third derivative of 0 - 9/8*q**3 - 1/80*q**5 + 2*q**2 + 0*q + 3/16*q**4. What is u in w(u) = 0?
3
Determine n so that -12/5*n + 8/5 + 12/5*n**3 - 4/5*n**4 - 4/5*n**2 = 0.
-1, 1, 2
Suppose 16/13*r**2 - 2/13*r**5 + 4/13*r**3 - 8/13*r**4 - 8/13 - 2/13*r = 0. What is r?
-4, -1, 1
Suppose 2*l - z = -9, -z - 15 = -l + 5*l. Let n(j) = -j**3 - 5*j**2 - 6*j - 5. Let i be n(l). Suppose -10/11*o**2 + 2/11*o + 0 + 8/11*o**i = 0. Calculate o.
0, 1/4, 1
Suppose -20/3*p + 20/3 + 5/3*p**2 = 0. Calculate p.
2
Let b(f) be the second derivative of -f**5/60 + f**4/18 + 13*f. What is s in b(s) = 0?
0, 2
Let l(t) be the third derivative of t**5/80 + 5*t**4/32 - 3*t**3/4 + 30*t**2. Suppose l(u) = 0. What is u?
-6, 1
What is u in 4/7*u**2 + 0 + 0*u + 2/7*u**3 = 0?
-2, 0
Let w(b) = -3*b**2 + 5*b + 3. Let s(c) = 2*c**2 - 3*c - 2. Let x(y) = 5*s(y) + 3*w(y). Let h(z) = -3*z**2 - z + 4. Let f(u) = h(u) + 2*x(u). Factor f(j).
-(j - 1)*(j + 2)
Suppose 2*b**5 + 4*b**4 - 4*b**4 + 8*b**4 + 2*b**5 + 4*b**3 = 0. What is b?
-1, 0
Factor 13*f**2 - 12*f**3 - 7*f**4 + 37*f**2 + 24 + 10*f**2 - 68*f + 3*f**4.
-4*(f - 1)**3*(f + 6)
Let p(i) be the second derivative of -7*i**8/1920 - i**7/180 - i**6/360 - i**4/2 - 4*i. Let f(w) be the third derivative of p(w). Factor f(t).
-t*(7*t + 2)**2/2
Let v = 27 - 22. Let j(y) be the third derivative of 0*y + y**2 - 1/156*y**4 + 0*y**3 + 0 + 1/390*y**v. Find p, given that j(p) = 0.
0, 1
Let n(w) be the third derivative of 0*w + 0*w**3 - 1/168*w**8 + 0*w**6 + 1/12*w**4 - 2/105*w**7 + 5*w**2 + 1/15*w**5 + 0. Let n(j) = 0. Calculate j.
-1, 0, 1
Let w = 319/6 + -53. Let j(k) be the third derivative of 0 + w*k**3 + 1/12*k**4 - 7/80*k**5 + 0*k - k**2. Factor j(n).
-(3*n - 2)*(7*n + 2)/4
Suppose k = -0*k + 5*m + 28, -m - 14 = -3*k. Suppose -k*x = -1 - 11. Factor -3*g**4 + 3*g**3 - 5*g**3 + 2*g**x + g**5.
g**3*(g - 2)*(g + 1)
Let y(h) = -6*h**2 - 21*h - 14. Let m(a) = a**2 + a - 1. Let g(c) = -m(c) - y(c). Factor g(w).
5*(w + 1)*(w + 3)
Suppose -17 = -5*z - 2. Factor -14*n**z + n + 8*n**3 + 8*n**3 - 2*n - n**5.
-n*(n - 1)**2*(n + 1)**2
Let p(t) = t**3 - t**2 - t + 8. Let l be p(4). Let r be 1/2 - 13/l. Find h such that 0 - r*h**2 + 0*h = 0.
0
Factor 3/2 + 3/2*t**2 - 3*t.
3*(t - 1)**2/2
Let w(d) be the first derivative of 1/300*d**5 + 0*d**4 - d**2 - 1/30*d**3 + 2 + 0*d. Let k(j) be the second derivative of w(j). Suppose k(m) = 0. Calculate m.
-1, 1
Determine r, given that -1/2*r**3 + 0*r**4 + 0*r**2 + 1/4*r**5 + 0 + 1/4*r = 0.
-1, 0, 1
Let q be -4 - 0 - (5 - 7)*2. Let w be 5/(-4)*(-2)/5. Factor 1/2*l + q - w*l**2.
-l*(l - 1)/2
Solve 1/2*m + m**4 - 1/2*m**5 - m**2 + 0*m**3 + 0 = 0.
-1, 0, 1
Suppose -7*o = -8*o + 2. Let w(h) be the second derivative of 1/18*h**4 - 2*h + 0*h**o - 1/18*h**3 - 1/60*h**5 + 0. Solve w(b) = 0.
0, 1
Factor u**2 - 15*u**3 - 10 + u**2 + 15*u + 5*u**4 + 3*u**2.
5*(u - 2)*(u - 1)**2*(u + 1)
Suppose 2*l = 5*b - 21, -3*l - 21 = -5*b + b. Suppose b*j + 2*j = 0. Find q such that q**3 - 1/2 + 3/2*q**2 + j*q = 0.
-1, 1/2
Let a(n) be the first derivative of -8*n**6 + 76/5*n**5 + 2 + n**2 - 4/3*n**3 + 0*n - 13/2*n**4. Let a(h) = 0. What is h?
-1/4, 0, 1/3, 1/2, 1
Factor -4/5*s - 1/5*s**2 - 3/5.
-(s + 1)*(s + 3)/5
Factor 2*x**2 + 5*x + x**3 - x - 4*x**2 - 3*x**2.
x*(x - 4)*(x - 1)
Let w(f) be the third derivative of f**6/240 + f**5/80 - f**4/8 + f**3/2 + 6*f**2. Let g(m) be the first derivative of w(m). Let g(c) = 0. Calculate c.
-2, 1
Let j(a) = -a**2 - 6*a - 3. Let b be (2 + 3)*(-2 + 1). Let o be j(b). Find g, given that 3*g**2 + 2*g - 4*g - 2*g**o + 3*g = 0.
-1, 0
Let x(l) be the second derivative of l**6/10 - 9*l**5/20 - l**4/4 + 3*l**3/2 + 7*l. Factor x(y).
3*y*(y - 3)*(y - 1)*(y + 1)
Suppose -11 = 4*i - 0*h + 3*h, 5*h = -25. Let r be 1 + -2 + 1/i. Factor 8/7*x - 8/7*x**2 + r + 2/7*x**3.
2*x*(x - 2)**2/7
Suppose -2*g + 0*g = 0. Suppose -k - k = -8, 2*j = -5*k + 26. Find q, given that 0 - 1/2*q**j + g*q + 1/2*q**2 = 0.
0, 1
Let c = 3 - 3. Let l = -428 + 431. Factor c - j**l - 2/3*j**4 + 1/3*j + 0*j**2.
-j*(j + 1)**2*(2*j - 1)/3
Let w be (0 - 24/(-63))*1/4. Let k(l) be the first derivative of -w*l**3 + 2 + 0*l - 1/7*l**2. What is r in k(r) = 0?
-1, 0
Let o(n) be the third derivative of n**6/300 - n**5/30 + 7*n**4/60 - n**3/5 + n**2. Factor o(h).
2*(h - 3)*(h - 1)**2/5
Let q(t) be the second derivative of -t**7/2016 + 7*t**6/2880 - t**5/240 + t**4/6 + 5*t. Let h(f) be the third derivative of q(f). Factor h(a).
-(a - 1)*(5*a - 2)/4
Let 2*t**5 - 10*t**4 - 3*t**5 - 4*t**5 + 6*t**2 + 5*t + 4*t**2 = 0. What is t?
-1, 0, 1
Suppose -3*t = -0*q + 3*q - 18, 5*t - 5*q = 10. Suppose -3 + o - 3*o - o**5 + t*o**3 + 1 - o + 2*o**2 = 0. What is o?
-1, 1, 2
Let y be ((-71)/35 - 0) + 2. Let s = 61/315 - y. Solve 0 - 2/3*v**3 + 4/9*v - s*v**2 = 0 for v.
-1, 0, 2/3
Suppose 5*j**2 + 5 - 4 - 14 - 7 = 0. Calculate j.
-2, 2
Let x be (5 + -2 - 3)/(2*-1). Factor -2/3*r + x + 2/3*r**3 + 2/3*r**4 - 2/3*r**2.
2*r*(r - 1)*(r + 1)**2/3
Let z be 0*((-4 - 15/(-10)) + 2). Let y(d) be the first derivative of 2/5*d**5 + z*d**2 + 0*d - 2/3*d**3 + 4 + 0*d**4. Suppose y(s) = 0. What is s?
-1, 0, 1
Let f(y) be the third derivative of y**6/36 + y**5/45 + y**4/180 + 2*y**2. Let f(u) = 0. Calculate u.
-1/5, 0
Let q be 6/20*(-48)/(-18). Let 9*i**4 + q*i**2 - 24/5*i**3 + 0 - 27/5*i**5 + 0*i = 0. What is i?
0, 1/3, 2/3
Let d = 72 + -70. Factor 4/7*i**d - 10/7*i**3 - 4/7 + 10/7*i.
-2*(i - 1)*(i + 1)*(5*i - 2)/7
Suppose -2*a - a + 6 = 0. Suppose 4*z + 7*v - 13 = a*v, 4*v = 4*z - 4. Solve 6*u**4 - z*u**5 - 13*u**2 + 3*u**3 + 8 - u**2 - u**3 = 0.
-1, 1, 2
Let o(p) be the first derivative of -p**8/672 + p**7/420 + p**6/240 - p**5/120 + p**2/2 + 1. Let r(a) be the second derivative of o(a). Factor r(t).
-t**2*(t - 1)**2*(t + 1)/2
Let a(t) be the third derivative of t**8/1344 + t**7/210 + t**6/160 - t**5/60 - t**4/24 + 12*t**2. Find b such that a(b) = 0.
-2, -1, 0, 1
Let i be 22/(-110)*10/(-4). Factor -i - 1/2*w**2 - w.
-(w + 1)**2/2
Suppose -4*k - 11 - 7 = 2*q, -3*q - 7 = 2*k. Let r be q + (5 + -3 - 2). What is w in 4*w**2 - 6*w**2 + 4*w + r - 2 - 1 = 0?
1
Let u(d) be the third derivative of 0*d - 5*d**2 + 0 - 1/9*d**3 + 1/540*d**6 + 7/108*d**4 - 1/54*d**5. Determine y, given that u(y) = 0.
1, 3
Suppose 2*u = 7*u - 15. Determine l, given that -2*l**5 + 2*l**u + 5*l + l**5 - 6*l = 0.
-1, 0, 1
Let 4/3 - o**2 + 1/3*o**3 + 0*o = 0. What is o?
-1, 2
Let o(t) be the third derivative of -4/105*t**7 + 1/6*t**5 - 1/20*t**6 + 1/4*t**4 - 1/3*t**3 - 3*t**2 + 0 + 0*t. Solve o(m) = 0.
-1, 1/4, 1
Let z be ((-5)/50)/((-10)/4). Let g(t) be the first derivative of -1/5*t**3 - 3/20*t**4 - z*t**5 - 1/10*t**2 + 0*t - 1. Factor g(a).
-a*(a + 1)**3/5
What is r in 1/7*r - 1/7*r**2 - 1/7*r**3 + 1/7 = 0?
-1, 1
Let y be (-20)/12*9/(135/(-4)). Suppose -2/3*m**2 + y*m**3 + 4/9*m - 1/9 - 1/9*m**4 = 0. Calculate m.
1
Let j be 4 - 9/(81/26). Factor -16/9*b - 2/9*b**3 + 8/9 + j*b**2.
-2*(b - 2)**2*(b - 1)/9
Let m(z) = -4*z**2 - 4*z - 2. Let d(f) = 9*f**2 + 8*f + 4. Let a = 0 + 5. Let b(s) = a*m(s) + 2*d(s). Factor b(h).
-2*(h + 1)**2
Let p(r) be the third derivative of -4*r**2 + 1/315*r**7 + 0*r**4 + 1/90*r**5 + 0*r**3 + 0 - 1/90*r**6 + 0*r. Determine u, given that p(u) = 0.
0, 1
Let j = 209 - 205. Let w(r) be the second derivative of -7/48*r**j - 2*r + 5/24*r**3 + 1/4*r**2 + 0. Let w(b) = 0. What is b?
-2/7, 1
Let i(j) be the first derivative of 9 + 11/38*j**4 + 0*j**2 + 0*j + 28/95*j**5 + 4/57*j**3. Determine r, given that i(r) = 0.
-1/2, -2/7, 0
Let p = 13 - 9. Factor -4*s**p - s - 11*s - 3*s**4 - 3 + 4*s**4 - 12*s**3 - 18*s**2.
-3*(s + 1)**4
Let o be ((-544)/1904)/(-1 + 2/7). Let -2/5*b**2 + 2/5*b**4 - o*b**3 + 0 + 2/5*b = 0. Calculate b.
-1, 0, 1
Let c(s) be the second derivative of -s**5/150 - s**4/15 - s**3/9 - 40*s. Factor c(u).
-2*u*(u + 1)*(u + 5)/15
Let q(i) be the first derivative of -2/35*i**5 - 2/7*i**3 + 0*i - 5 - 1/7*i**2 - 3/14*i**4. Factor q(n).
-2*n*(n + 1)**3/7
Let o(y) be the third derivative of 0 + 4*y**2 + 0*y**3 + 7/150*y**5 + 2/525*y**7 + 0*y - 1/30*y**4 - 7/300*y**6. What is t in o(t) = 0?
0, 1/2, 1, 2
Let n(m) be the third derivative of -m**2 - 1/12*m**5 - 1/210*m**7 - 1/30*m**6 + 0*m + 0 + 0*m**3 - 1/12*m**4. Solve n(k) = 0.
-2, -1, 0
Suppose -3*f + 7 = 2*i, 19 = 5*f - 5*i - 1. Let m(y) be