u**5 - 55*u**4/4 + 5*u**3/3 + 55*u**2/2 + 831. What is f in v(f) = 0?
-11, -1, 0, 1
Solve 72/11 + 18/11*v**4 - 70/11*v**2 + 68/11*v**3 - 312/11*v = 0 for v.
-3, 2/9, 2
Factor -3/4 - 33/4*w - 18*w**2 + 27*w**3.
3*(w - 1)*(6*w + 1)**2/4
Let f(q) be the second derivative of -q**6/60 - 27*q**5/20 - 829*q**4/24 - 225*q**3 - 625*q**2 - 449*q. Factor f(n).
-(n + 2)**2*(n + 25)**2/2
Factor -5/2*r**3 - 1/2*r**4 - 1/2*r**2 + 21/2*r + 9.
-(r - 2)*(r + 1)*(r + 3)**2/2
Factor 322460*u**3 + 199684*u**2 + 40352*u + 4618 + 500*u**5 - 2967*u**4 - 22733*u**4 - 1914.
4*(u - 26)**2*(5*u + 1)**3
Let o(i) = -3 - 22 - 6*i**2 - i**3 - 2*i + 46 + 12*i. Let g be o(-7). Factor g*p**2 + 2/3*p - 2/9*p**3 + 4/9.
-2*(p - 2)*(p + 1)**2/9
Suppose 4*s = 10*s - 84. Let s*i**3 + 30*i**2 - 5*i**3 + 5*i**4 - 27*i**2 + i**4 = 0. What is i?
-1, -1/2, 0
Determine b, given that -16/15 + 4/5*b - 2/15*b**3 + 2/5*b**2 = 0.
-2, 1, 4
Let u(j) be the first derivative of -2*j**5/5 + j**4 + 2*j**3 - 4*j**2 - 12*j + 207. Let g(h) = 1. Let p = -2 + 3. Let d(z) = p*u(z) + 4*g(z). Factor d(k).
-2*(k - 2)**2*(k + 1)**2
Let p(y) be the second derivative of -y**6/840 - y**5/105 - y**4/56 - y**2 - 10*y. Let q(d) be the first derivative of p(d). Factor q(r).
-r*(r + 1)*(r + 3)/7
Suppose -2*d = -2*v + 2, -d = -0*v - 3*v + 11. Suppose 5*l - 122 = -2. Determine m so that 2*m**3 + l*m - d*m**2 - 2 - 2*m**2 - 18*m = 0.
1
Let o(b) = -2*b**2 - b + 10. Let p(w) = -w + 2. Let c(d) = -o(d) + 3*p(d). Suppose c(s) = 0. Calculate s.
-1, 2
Let k(b) be the second derivative of -5*b**4/66 - b**3/3 + 12*b**2/11 - 2*b + 16. Factor k(o).
-2*(o + 3)*(5*o - 4)/11
Let v = -45/28 - -59/28. Let c(r) be the first derivative of -v*r**3 + 0*r + 0*r**2 - 1 + 1/8*r**4. Find k such that c(k) = 0.
0, 3
Let n(c) = -c**2 + 1. Suppose -2*k - 2*k = 4. Let r(t) = -35*t**2 - 3*t + 2. Let x(z) = k*r(z) - n(z). Factor x(v).
3*(3*v + 1)*(4*v - 1)
Let b(g) be the second derivative of -2*g**3 - 18*g - 5/3*g**4 + 0 - 1/5*g**5 + 18*g**2. Solve b(x) = 0 for x.
-3, 1
Let d(s) be the third derivative of s**7/70 - s**6/20 - s**5/5 + s**4/4 + 3*s**3/2 + 177*s**2. Factor d(g).
3*(g - 3)*(g - 1)*(g + 1)**2
Suppose -7*n + 28 = -3*n. Suppose 0 = 2*q - 13 + n. Find l, given that -2/3*l**2 + 0 - 1/3*l**q + 0*l = 0.
-2, 0
Let w(a) be the third derivative of -a**5/150 - 17*a**4/15 - 1156*a**3/15 + 331*a**2. Find g such that w(g) = 0.
-34
Let i be -2*4/(-8) - -1. Factor -20 - 9*l**2 - 80*l + 33*l**3 - 7*l**2 - 9*l**2 + i*l**3.
5*(l - 2)*(l + 1)*(7*l + 2)
Let i(p) = -p**3 + 20*p**2 + 75*p - 136. Let q be i(23). What is d in 0*d - 1/5*d**3 + 0 - 1/5*d**q + 1/5*d**5 + 1/5*d**4 = 0?
-1, 0, 1
Let o(g) be the third derivative of -g**8/6720 + g**7/210 - g**6/15 - g**5/15 + 20*g**2. Let x(d) be the third derivative of o(d). Factor x(m).
-3*(m - 4)**2
Let x(w) = -1 - 2*w - 7*w + 10*w + 2. Let q be x(2). Factor 2*n**q + 0*n**3 - 8 - 4*n**2 - 8*n + 24 + 0*n**3.
2*(n - 2)**2*(n + 2)
Let h(a) = a**5 - 5*a**4 - 6*a**3 - 14*a**2 - 14. Let l(w) = -w**5 + 5*w**4 + 7*w**3 + 13*w**2 + 12. Let s(i) = -6*h(i) - 7*l(i). Factor s(z).
z**2*(z - 7)*(z + 1)**2
Factor 2/13*s**2 + 4*s + 26.
2*(s + 13)**2/13
Let n be (40/(-6))/10*216/(-80). Find a such that 3/5*a**3 + n*a**2 + 0 + 6/5*a = 0.
-2, -1, 0
Let q(s) be the second derivative of -s**6/75 + 7*s**5/25 - 23*s**4/10 + 28*s**3/3 - 20*s**2 + 184*s - 2. Factor q(w).
-2*(w - 5)**2*(w - 2)**2/5
Suppose 0 = 309*x - 314*x. Let v(g) be the second derivative of -1/4*g**4 + 0*g**2 + 4*g - 1/10*g**6 + x - 3/10*g**5 + 0*g**3. Find p, given that v(p) = 0.
-1, 0
What is p in -2/3*p**4 + 0 + 43/6*p**2 + 7/3*p - 53/6*p**3 = 0?
-14, -1/4, 0, 1
Let h(w) be the second derivative of -15*w - 1/3*w**3 + 0 + 1/24*w**4 + 0*w**2. Suppose h(z) = 0. What is z?
0, 4
Let l(x) = 2*x + 1. Let f be l(1). Let v(p) = -2*p - 3*p**2 - f*p - 6*p. Let i(s) = -s**2 - 4*s. Let m(z) = -8*i(z) + 3*v(z). Factor m(y).
-y*(y + 1)
Let i = -73 + 77. Factor -9*d**2 + 9*d**3 + 3*d**2 + 4*d**i + 3*d**2 - d**4 - 9*d.
3*d*(d - 1)*(d + 1)*(d + 3)
Let z(j) be the third derivative of j**8/168 + 2*j**7/63 - 17*j**6/180 - 4*j**5/15 + 11*j**4/9 - 16*j**3/9 + 2*j**2 + 37. Find r, given that z(r) = 0.
-4, -2, 2/3, 1
Let t(k) be the second derivative of -k**7/630 + k**6/120 - k**5/90 + 11*k**2/2 + 4*k. Let b(x) be the first derivative of t(x). Solve b(i) = 0 for i.
0, 1, 2
Let z = -46 - -50. Determine b, given that 1 + 5*b + b**z + 2*b**2 + b**2 - 5*b**4 - 27*b**3 + 22*b**3 = 0.
-1, -1/4, 1
Let r = 926 + -924. Factor 15*o**2 + 5/3*o**4 + 29/3*o + r + 9*o**3.
(o + 1)**2*(o + 3)*(5*o + 2)/3
Let r be ((-81)/(-6))/(15/(-20)). Let q(d) = -d**2 - d + 1. Let k(x) = 27*x**3 - 36*x**2 - 15*x + 18. Let o(p) = r*q(p) + k(p). Factor o(i).
3*i*(3*i - 1)**2
Let v(h) be the third derivative of 0 + 4/15*h**5 + 1/6*h**6 + 0*h**3 + 4/105*h**7 + 0*h + 1/6*h**4 - 6*h**2. Suppose v(s) = 0. Calculate s.
-1, -1/2, 0
What is g in 0 + 8/5*g**3 + 4/5*g**4 + 0*g**2 + 0*g = 0?
-2, 0
Solve c + 8*c**2 + 11*c - 12*c**3 - 2 - 8*c**4 + 4 - 2 = 0.
-3/2, -1, 0, 1
Let y(r) be the first derivative of 2/33*r**3 - 5/11*r**2 - 12/11*r - 36. Solve y(w) = 0 for w.
-1, 6
Suppose -6*j = -1 - 29. Suppose -j*i - 6*f + 6 = -8*f, 2*f + 6 = 2*i. Find u, given that 0*u - 2/5*u**5 + 2/5*u**4 + 0*u**2 + i*u**3 + 0 = 0.
0, 1
Let w(a) be the first derivative of 45*a - 15*a**2 + 15/2*a**4 - 40/3*a**3 + 9 - a**5. Factor w(v).
-5*(v - 3)**2*(v - 1)*(v + 1)
Let r(s) be the second derivative of -s**4/3 - 280*s**3/3 - 9800*s**2 - 2*s - 4. Let r(h) = 0. Calculate h.
-70
Let j(y) be the third derivative of y**6/60 + y**5/3 + 9*y**4/4 + 6*y**3 - 96*y**2. Determine s, given that j(s) = 0.
-6, -3, -1
Let o be -2*(3 + (-51)/6). Suppose 3*q**2 + 185 - 4*q - o*q - 173 = 0. What is q?
1, 4
Factor -28*z - 4/3 - 147*z**2.
-(21*z + 2)**2/3
Let v(d) be the second derivative of d**6/1260 - d**5/30 + 7*d**4/12 + 8*d**3/3 - 7*d. Let w(m) be the second derivative of v(m). Factor w(j).
2*(j - 7)**2/7
Let x(o) be the first derivative of -o**5 + 35*o**4 + 50*o**3 - 70*o**2 - 145*o - 73. Factor x(w).
-5*(w - 29)*(w - 1)*(w + 1)**2
Let n(t) be the third derivative of t**6/5 + 7*t**5/20 - t**4/8 - 157*t**2 + 2*t. Factor n(m).
3*m*(m + 1)*(8*m - 1)
Let t(n) = -116*n + 812. Let v be t(7). Solve 2/11*m**2 - 6/11*m + v = 0.
0, 3
Let i(g) be the first derivative of g**5/10 + 3*g**4/8 - 3*g**3/2 + 5*g**2/4 - 518. Suppose i(z) = 0. What is z?
-5, 0, 1
Let -4/7*m**4 - 12/7*m**2 + 0 - 16/7*m**3 + 0*m = 0. Calculate m.
-3, -1, 0
Suppose -16/5 + 2*t**3 + 3*t**2 - 2*t + 1/5*t**4 = 0. Calculate t.
-8, -2, -1, 1
Let u = -14 - -15. Determine x, given that 4*x**2 + 4 - u - 8*x + 1 = 0.
1
Factor 2/11*t**5 + 12/11*t**3 - 16/11*t + 0 - 10/11*t**4 + 8/11*t**2.
2*t*(t - 2)**3*(t + 1)/11
Let b(s) = -s**3 - 11*s**2 + s + 13. Let m be b(-11). Factor -18*h**2 - 2*h + 2*h**3 + 18*h**m - 6*h**2 + 6.
2*(h - 3)*(h - 1)*(h + 1)
Let n be -6 - (-7 - 72/(-81)). Let j(k) be the first derivative of -1/6*k + 0*k**4 - 1/30*k**5 + n*k**3 - 2 + 0*k**2. Find f such that j(f) = 0.
-1, 1
Let y(g) be the third derivative of -g**7/315 - g**6/60 - 5*g**2 + g. Factor y(m).
-2*m**3*(m + 3)/3
Find m, given that -2/11*m**2 + 32/11*m - 128/11 = 0.
8
Let x be (18/(-21))/((-9)/42). Suppose 2*l**5 + x*l - 58*l**4 - 2*l**2 + l**3 + 60*l**4 - 2*l**3 - 5*l**3 = 0. Calculate l.
-2, -1, 0, 1
Let d = -234 - -236. Let x be 2/(-4)*(-1 + 1). Determine f, given that x + 1/5*f + 2/5*f**3 + 3/5*f**d = 0.
-1, -1/2, 0
Let l(s) be the second derivative of -s**7/42 + s**6/3 - 3*s**5/2 + 10*s**4/3 - 25*s**3/6 + 3*s**2 + 449*s. Factor l(v).
-(v - 6)*(v - 1)**4
Let o(z) be the first derivative of -7*z**4/18 + 88*z**3/27 - 47*z**2/9 + 20*z/9 + 79. Factor o(g).
-2*(g - 5)*(g - 1)*(7*g - 2)/9
Let o(q) be the second derivative of -3*q**5/20 - 3*q**4/2 - 3*q**3/2 + 15*q**2 - q - 235. What is c in o(c) = 0?
-5, -2, 1
Let d(j) = -39*j - 268. Let c be d(-7). Let v(p) be the third derivative of -1/30*p**4 - 6*p**2 + 0*p + 0*p**3 - 1/150*p**c + 0. Let v(z) = 0. What is z?
-2, 0
Suppose -36 = -10*v + 4. Let h(p) be the first derivative of 0*p**3 - 1/10*p**v + 0*p**2 + 0*p + 4 - 1/15*p**6 + 4/25*p**5. Suppose h(c) = 0. What is c?
0, 1
Let u(o) be the first derivative of o**4/6 + 356*o**3/3 + 31684*o**2 + 11279504*o/3 + 1067. Factor u(g).
2*(g + 178)*