5/270 + w**4/18 + 11*w**2 + 4*w. Factor o(v).
2*v*(v + 6)/9
Let a = 31 + 34. Find v such that -2*v**2 + 1 - 3 + 69*v - a*v = 0.
1
Let c(x) be the second derivative of 0*x**3 + 0*x**2 - 1/20*x**5 - 1/126*x**7 + 1/18*x**6 - 1/4*x**4 + 0 - 8*x. Let c(m) = 0. What is m?
-1, 0, 3
Let l(b) = 24*b**2 + 44*b + 12. Let a(q) = q**2 - q**2 + q + 5*q**2 - 4*q**2. Let g(t) = -10*a(t) + l(t). Let g(p) = 0. What is p?
-2, -3/7
Let t(f) be the third derivative of -f**6/720 + f**5/90 + f**4/144 - f**3/9 - 16*f**2 - 1. Let t(d) = 0. Calculate d.
-1, 1, 4
Suppose 793*t - 5*o = 792*t - 25, o = 3*t + 5. Suppose -8/7*f**2 + 2/7*f - 2/7*f**3 + 8/7*f**4 + t = 0. What is f?
-1, 0, 1/4, 1
Suppose 0 = 2*x - x + 4*w + 13, -5*x + 7 = 2*w. Let i = 8 - 5. Suppose 3*o**i + o**2 + 2*o**2 - o**x - 9*o**4 - 8*o**3 = 0. What is o?
-1, 0, 1/3
Let c(k) be the first derivative of 3/8*k**2 - 3/20*k**5 + 2 + 1/8*k**6 - 3/4*k - 3/8*k**4 + 1/2*k**3. Find b, given that c(b) = 0.
-1, 1
Let i(h) be the third derivative of h**5/15 + 14*h**4/3 + 392*h**3/3 + 82*h**2. Solve i(k) = 0.
-14
Let k(g) be the third derivative of -2*g**7/105 + 2*g**6/15 + 19*g**5/15 + 7*g**4/3 + 429*g**2 - g. Suppose k(z) = 0. Calculate z.
-2, -1, 0, 7
Let v(u) be the first derivative of 2*u**5/25 - u**4/2 + 6*u**3/5 - 7*u**2/5 + 4*u/5 - 1. Determine t, given that v(t) = 0.
1, 2
Let t(d) be the first derivative of -1/40*d**6 + 0*d**4 + 5/2*d**2 + 0*d**3 + 4 + 0*d + 1/20*d**5. Let i(w) be the second derivative of t(w). Factor i(s).
-3*s**2*(s - 1)
Suppose 2/11*n**4 - 1080/11*n + 56/11*n**3 - 1350/11 + 324/11*n**2 = 0. What is n?
-15, -1, 3
Let j(i) be the third derivative of -i**8/336 + i**7/42 - i**6/60 - 2*i**5/15 + 510*i**2 + 2. Factor j(l).
-l**2*(l - 4)*(l - 2)*(l + 1)
Factor -181*r**3 + 8*r + 93*r**3 + 8*r**2 + 90*r**3.
2*r*(r + 2)**2
What is v in -9*v + 2*v**2 - 2342*v**3 - v + 6 + 2344*v**3 + 0*v**2 = 0?
-3, 1
Let h = 9 - 5. Let -30*k**3 - 94*k**2 - 25 + 29*k**2 - 2*k**4 - 60*k - 3*k**h + 5 = 0. What is k?
-2, -1
Let a(j) be the second derivative of j**4/48 - 7*j**3/24 - 854*j. Find m such that a(m) = 0.
0, 7
Suppose -4/9*s**3 - 2/9*s**4 + 8/9*s**2 + 4/9*s - 2/3 = 0. What is s?
-3, -1, 1
Let p(t) be the second derivative of -t**5/45 + 2*t**4/9 - 293*t. Determine i, given that p(i) = 0.
0, 6
Let i(q) = -9*q**2 - 6*q - 4. Let w(b) = -2*b**2 - b - 9*b - 3 + 3*b - 6*b**2. Let n(j) = -3*i(j) + 4*w(j). Factor n(z).
-5*z*(z + 2)
Suppose -d + 179 = -3*l, 3*l + 68 = 2*l + 2*d. Let s be l/(-18) - 6/27. Find r such that r**2 + 0 + r**s + 1/3*r + 1/3*r**4 = 0.
-1, 0
Let y(l) = -63*l**2 - 375*l + 21. Let i be y(-6). Determine f, given that -2/9*f**i - 250/9 - 50/3*f - 10/3*f**2 = 0.
-5
Let l = -3712 + 18562/5. What is b in l*b**3 + 8/5*b**2 + 4/5 + 2*b = 0?
-2, -1
Let f(l) = 138 - 66 - 72 - l. Let q(p) = 4*p**2 + 12*p - 16. Suppose -5*v + 60 = -0*v. Let g(b) = v*f(b) + q(b). Find c, given that g(c) = 0.
-2, 2
Solve -m**4 + 10*m**2 + 6*m**4 + 118*m**3 - 103*m**3 = 0 for m.
-2, -1, 0
Factor -130/3*p + 2*p**2 + 28.
2*(p - 21)*(3*p - 2)/3
Let u(y) = 5*y**3 + 30*y**2 + 13*y - 9. Let j(d) = 16*d**3 + 90*d**2 + 40*d - 26. Let g(z) = -3*j(z) + 8*u(z). Factor g(p).
-2*(p + 1)*(p + 3)*(4*p - 1)
Let b(o) be the third derivative of 1/420*o**7 + 0 + 19*o**2 - 1/3*o**3 + 11/48*o**4 + 1/240*o**6 - 3/40*o**5 + 0*o. Let b(u) = 0. Calculate u.
-4, 1
Let a = 250 + -246. Let o be a/14*(-77)/(-33). Solve o*n + 0 - 1/3*n**2 = 0.
0, 2
Let q(z) = -8*z + 5*z - 8 + 2*z. Let j be q(-10). Factor -2*k**3 + k**3 - k**j + 3*k**3 - k**2.
2*k**2*(k - 1)
Let z(u) be the second derivative of u**7/70 - 8*u**6/75 + u**5/20 - 153*u. Factor z(c).
c**3*(c - 5)*(3*c - 1)/5
Let i = -2120 + 2123. Factor 2/7*v**i + 10/7*v - 4/7 - 8/7*v**2.
2*(v - 2)*(v - 1)**2/7
Let u(p) be the first derivative of -2*p**3/51 + 13*p**2/17 - 24*p/17 - 117. Determine n, given that u(n) = 0.
1, 12
Let p(r) be the third derivative of r**5/135 + 4*r**4/27 - 2*r**3/3 + 2*r**2 - 52. Factor p(t).
4*(t - 1)*(t + 9)/9
Let p(u) be the second derivative of u**5/170 + 7*u**4/102 + 16*u**3/51 + 12*u**2/17 + 9*u + 12. Suppose p(m) = 0. What is m?
-3, -2
Suppose 26368*s = 26362*s + 24. Factor 1/3*c**s - 1/9*c**5 + 0 + 0*c + 1/9*c**2 - 1/3*c**3.
-c**2*(c - 1)**3/9
Let v(h) be the third derivative of 0 - 5/12*h**3 - 1/16*h**6 + 22*h**2 + 5/16*h**4 + 0*h + 1/24*h**5. Factor v(m).
-5*(m - 1)*(m + 1)*(3*m - 1)/2
Let g(m) = 82*m**2 - 4*m - 1. Let b be g(-1). Let k be ((-8)/90)/((-34)/b). Factor 0*h + k*h**2 + 0.
2*h**2/9
Let l(x) be the second derivative of 5*x**7/42 - 3*x**6/2 + 15*x**5/4 + 125*x**4/12 - 30*x**3 - 90*x**2 + 222*x. Find v, given that l(v) = 0.
-1, 2, 3, 6
Let r(s) be the first derivative of s**4 + 28*s**3/3 + 20*s**2 + 96. Find c such that r(c) = 0.
-5, -2, 0
Let v be 1 - (-24)/(-18) - (-606)/9. Let c = v - 62. Determine a so that 0 + 18/5*a**3 - 3/5*a**2 + 21/5*a**4 - 6/5*a + 6/5*a**c = 0.
-2, -1, 0, 1/2
Let o(v) = -5*v + 4. Let p be o(0). Let i = p + -4. Solve -4/7*r**3 + i + 0*r**4 + 2/7*r + 2/7*r**5 + 0*r**2 = 0 for r.
-1, 0, 1
Let j(f) be the first derivative of -f**4/22 - 74*f**3/33 - 323*f**2/11 + 722*f/11 + 1027. Let j(r) = 0. Calculate r.
-19, 1
Let h(i) = 5*i**2 + 70*i + 70. Let o(y) = -7*y**2 - 105*y - 106. Let f(q) = -8*h(q) - 5*o(q). Factor f(s).
-5*(s + 1)*(s + 6)
Let u = 7 - 5. Let 6*g**2 + 2*g**2 - 6*g**u - 8 - 6*g = 0. Calculate g.
-1, 4
Let c(h) be the third derivative of h**10/151200 + h**9/36288 + h**8/30240 - h**5/60 - h**2. Let o(x) be the third derivative of c(x). Factor o(j).
j**2*(j + 1)*(3*j + 2)/3
Let u be 3/(0 + (-3)/(-3)). Let 21*h**3 - 13*h**3 - 8*h**3 + u*h**5 = 0. What is h?
0
Let i(y) be the second derivative of -2/7*y**4 - 15*y + 16/7*y**3 + 0 - 64/7*y**2 + 1/70*y**5. Suppose i(f) = 0. What is f?
4
Let -10/13*d**3 + 2/13*d**4 + 10/13*d - 2/13*d**2 + 0 = 0. What is d?
-1, 0, 1, 5
Suppose 3*m + 21 = -5*g, -3*m - 4*g + 46 - 61 = 0. Let -1/2*o**2 + m - 1/2*o = 0. Calculate o.
-3, 2
Let v(x) be the third derivative of 1/240*x**5 + 0 + 0*x - 1/840*x**7 + 0*x**4 + 0*x**6 + 12*x**2 + 0*x**3. Let v(t) = 0. What is t?
-1, 0, 1
Let n(d) = d**3 - 6*d**2 + 9*d - 16. Let i be n(5). Let 8*o + 20*o**2 + 6*o**3 + 16*o**2 - 3*o**5 + 16*o - 9*o**i = 0. What is o?
-2, -1, 0, 2
Suppose 172 = -5*w + 182. Let x be 2/(-5)*-5 + 1/w. Solve -7/2*s**2 - s - x*s**3 + 0 = 0.
-1, -2/5, 0
Determine d, given that 242 - 16*d - 338 - 17*d**3 + 24*d**2 + 21*d**3 = 0.
-6, -2, 2
Let v be (27/3 + -10)*-3. Determine s, given that 2*s**4 + 0 - 2*s**v + 2/3*s**2 + 0*s - 2/3*s**5 = 0.
0, 1
Solve 0 + 32/5*v + 2/5*v**2 = 0 for v.
-16, 0
Factor 11/2*o + 5/4*o**2 - 12.
(o + 6)*(5*o - 8)/4
Let s(p) be the second derivative of p**5/4 - 20*p**4/3 + 190*p**3/3 - 240*p**2 + 6*p. Let s(y) = 0. Calculate y.
2, 6, 8
Let p(b) be the third derivative of 0*b**3 + 0*b + 1/120*b**4 - 1/300*b**5 + 0 + 45*b**2. Factor p(u).
-u*(u - 1)/5
Let y(w) be the third derivative of w**8/84 - 4*w**7/105 - 3*w**6/5 + 12*w**5/5 + 27*w**4/2 - 108*w**3 - 39*w**2. Suppose y(g) = 0. What is g?
-3, 2, 3
Factor 1/4*b**4 - 25/4*b**3 + 0*b + 0 - 13/2*b**2.
b**2*(b - 26)*(b + 1)/4
Solve 19/3*o - 1/6*o**2 - 37/6 = 0 for o.
1, 37
Let f(j) be the second derivative of -14*j - 1/18*j**6 + 0 - 5/18*j**3 - 1/6*j**2 - 1/126*j**7 - 1/6*j**5 - 5/18*j**4. What is z in f(z) = 0?
-1
Suppose 156*u - 73 = 133*u - 4. Suppose 0 + 6/7*d - 9/7*d**2 + 3/7*d**4 + 0*d**u = 0. Calculate d.
-2, 0, 1
Let u(f) = -3*f + 17. Let x be u(-5). Factor -x*i**2 + 29 - 24*i - 4*i**4 - 23 + 30 + 24*i**3.
-4*(i - 3)**2*(i - 1)*(i + 1)
Let f(r) be the first derivative of r**4/2 + 14*r**3/3 - 5*r**2 - 150*r + 20. Factor f(p).
2*(p - 3)*(p + 5)**2
Let d(p) be the first derivative of 0*p**4 + 8*p + 1/50*p**5 + 8 + 0*p**3 + 0*p**2. Let m(l) be the first derivative of d(l). Let m(y) = 0. Calculate y.
0
Let b(s) = -s**2 + 12*s + 5. Let v be b(9). Factor -k - 63*k + 119*k**4 - 128*k**2 - 23*k**4 + v*k**3 - 36*k**5.
-4*k*(k - 2)**2*(3*k + 2)**2
Suppose 3*c = -15, -2*d = -5*d - 4*c - 35. Let s be (-64)/(-28) + d/((-140)/(-8)). Solve 0*i - 1/2*i**s + 0 = 0 for i.
0
Let y(x) = x**3 + 172*x**2 - 9410*x + 175618. Let d(j) = -j**3 - 2*j**2 + j - 1. Let w(r) = 6*d(r) + 3*y(r). Solve w(o) = 0.
56
Factor 4/5*i**2 + 4/5*i**3 + 0 - 24/5*i.
4*i*(i - 2)*(i + 3)/5
Let t(o) = -3*o**3 - 74*o