e second derivative of 1/100*u**5 + i*u**3 - 1/150*u**6 + 0*u**2 + 0 + 4*u + 1/30*u**4. Let j(m) = 0. Calculate m.
-1, 0, 2
Let d(f) = f + 2. Let g be d(0). Solve -6*o**4 - 9*o**2 + 3*o**4 - 7*o**3 + 0*o**2 - g*o**3 - 3*o = 0 for o.
-1, 0
Let t(o) be the third derivative of o**7/1890 - o**6/432 + o**5/360 - 5*o**4/24 + o**2. Let n(h) be the second derivative of t(h). What is b in n(b) = 0?
1/4, 1
Suppose -2*m = -z - 9, 0*m = -4*m - 5*z - 17. Suppose -3*p - n - 10 = -6*n, -p - 4*n = -8. Factor 0*c**4 - 2*c**3 - m*c**4 + 2*c + 2*c**2 + p*c**3.
-2*c*(c - 1)*(c + 1)**2
Let b = 1/18 + 4/9. Suppose -1/2*s**2 + 0*s + 0 - b*s**3 = 0. What is s?
-1, 0
Let u = 14 + -11. Suppose u - 5*h**2 - 3*h**2 + 5*h**2 = 0. What is h?
-1, 1
Let b be 3 - 2 - (3 - 4). Factor 1/2*r**b - r + 0.
r*(r - 2)/2
Suppose 0 = i - 2*p - 8, -p = 3*i - 10. Suppose -v - 3*v + i*v**2 - 3*v**2 + 3*v**2 = 0. Calculate v.
0, 1
Factor -331*r**4 - 51*r**3 + 324*r**5 + 102*r**2 - 96*r - 64 - 353*r**4 + 223*r**3 + 246*r**2.
4*(r - 1)**3*(9*r + 4)**2
Let k(v) = -2*v**2 + 42*v + 46. Let j be k(22). Factor 0*d**4 + 0 + 0*d - 1/6*d**3 + 1/6*d**5 + 0*d**j.
d**3*(d - 1)*(d + 1)/6
Find l such that 3*l**3 + 3/2*l**4 - 3/2*l**2 - 3*l + 0 = 0.
-2, -1, 0, 1
Let h(p) = p**2 - 3*p + 4. Suppose -j = -6*j + 5. Let c(q) = -q + 1. Let z = -12 - -8. Let f(o) = j*h(o) + z*c(o). Suppose f(m) = 0. What is m?
-1, 0
Let o(t) = -t**2 - 6*t + 3. Let m be o(-6). Factor 3*l - 3*l - l + l**m.
l*(l - 1)*(l + 1)
Let h(f) be the first derivative of 2*f**5/5 - 5*f**4/4 + f**3 + f**2/2 - f - 6. Factor h(w).
(w - 1)**3*(2*w + 1)
Factor -5/3*s - 4/3 - 1/3*s**2.
-(s + 1)*(s + 4)/3
Let p(a) = 5*a**3 + 5*a**2 - 3. Let n(l) be the second derivative of -7*l**5/10 - 7*l**4/6 + 4*l**2 + 2*l. Let i(q) = -3*n(q) - 8*p(q). Factor i(r).
2*r**2*(r + 1)
Determine f so that 2/5*f**5 - 2/5*f**3 + 0 - 8/5*f**4 + 0*f + 8/5*f**2 = 0.
-1, 0, 1, 4
Let 0 + 1/4*d**2 - 1/4*d = 0. What is d?
0, 1
Let n(h) = 5*h**2 + 13*h + 3. Let r(a) = -2*a**2 - 6*a - 1. Let c(l) = 3*n(l) + 7*r(l). Factor c(i).
(i - 2)*(i - 1)
Let p(n) be the third derivative of 2*n**7/105 - n**6/6 + 8*n**5/15 - 2*n**4/3 + 46*n**2. Factor p(s).
4*s*(s - 2)**2*(s - 1)
Let f(q) be the third derivative of 1/672*q**8 + 1/420*q**7 - 7*q**2 + 0*q**3 - 1/80*q**6 - 1/24*q**4 + 0*q + 0 - 1/24*q**5. Factor f(h).
h*(h - 2)*(h + 1)**3/2
Let h = 6 - 13. Let r(o) = -o**3 - 8*o**2 - 6*o + 9. Let s be r(h). Suppose -2*g - 2*g**s + g**2 + 7*g**4 - 16*g**3 + 12*g**2 = 0. Calculate g.
0, 2/7, 1
Let a(o) be the second derivative of -3*o**7/14 + o**6 - 3*o**5/20 - 3*o**4/2 - 4*o. Find y, given that a(y) = 0.
-2/3, 0, 1, 3
Suppose x = -0*x + 3. Suppose -4*u - 2 = 6, -t + 10 = -x*u. Let 3*p - 4*p + p**3 - p**5 + p**2 - p**t + p = 0. Calculate p.
-1, 0, 1
Let g = 187/20 - 43/5. What is m in 0 + 1/2*m - g*m**2 = 0?
0, 2/3
Let l(c) be the second derivative of -c**4/24 + c**3/6 - 15*c. Find i, given that l(i) = 0.
0, 2
Let r(n) be the first derivative of -5*n**3/3 - 5*n**2 + 20. Factor r(v).
-5*v*(v + 2)
Let y(j) = -21*j + 213. Let v be y(10). What is g in -1/3*g + 1/3 + 1/3*g**v - 1/3*g**2 = 0?
-1, 1
Determine q, given that 2/3*q**3 + 0*q**4 + 0 + 0*q + 4/9*q**2 - 2/9*q**5 = 0.
-1, 0, 2
Let r(h) be the third derivative of 0*h - h**2 + 0*h**5 + 0 - 1/210*h**7 + 1/60*h**6 - 1/12*h**4 + 1/6*h**3. Suppose r(d) = 0. Calculate d.
-1, 1
Let n = 8 + -15/2. Let d be 3/6*1 - 0. Factor n*k + 1 - d*k**2.
-(k - 2)*(k + 1)/2
Suppose 6*r - 51 - 93 = 0. Let p be (-556)/(-168) - 4/r. Solve 4/7*z**3 + 24/7*z - p*z**2 + 18/7 = 0.
-1/2, 3
Let f = 11 + -7. Factor -2*b**2 + 8 + 4*b**3 - 8 - 2*b**f.
-2*b**2*(b - 1)**2
Suppose -b = 4*b - 15. Suppose b*i + i = w - 10, -3*i = 6. Factor -6*p**w - 4*p + 3*p**4 - p**4 + 0*p**4.
2*p*(p - 2)*(p + 1)**2
Let l(p) = p**2 + 5*p - 8. Let w be l(-7). Let r = 11 - w. Solve 2*f**r + 0*f**2 - 2*f**2 - 3*f**4 + 3*f**2 = 0.
-1/2, 0, 1
Let w be 2/(-2) - (-1 + -2). Let r be w + (1 - (-14)/(-5)). Determine b, given that r*b**2 + 0 + 0*b = 0.
0
Let x = -140 + 144. Suppose -8/3 - 16/3*a - 2/3*a**2 - 2/3*a**5 + 2/3*a**x + 10/3*a**3 = 0. Calculate a.
-1, 2
Let w(o) be the first derivative of 4 + 3*o**4 + 6*o**2 - 3/5*o**5 - 6*o**3 - 3*o. Factor w(x).
-3*(x - 1)**4
Let k be 2/(-6)*(0 + -6). Let v(l) = l + 1. Let x be v(k). Determine j, given that 0 - 2/9*j**2 + 4/9*j**x - 2/9*j**4 + 0*j = 0.
0, 1
Let f(z) be the first derivative of 2*z**4/5 + 22*z**3/15 - 3*z**2/5 - 28. Factor f(m).
2*m*(m + 3)*(4*m - 1)/5
Suppose -2*d = 17 - 5. Let r = d - -8. Let 6*b**2 - b - 5*b**r - 2*b**2 = 0. What is b?
-1, 0
Let u = 91 - 453/5. Suppose 2 = 3*w + r, -4*r - 6 = 4*w + 2. Suppose -1/5*o**4 - 1/5*o + 3/5*o**w - u + 1/5*o**3 = 0. What is o?
-1, 1, 2
Let j be 3 - 1*(-3 - -2). Factor -y**2 + 3*y**j + 12 - y**2 - 2*y**3 - 12*y - 7*y**2 + 8*y**3.
3*(y - 1)**2*(y + 2)**2
Let a(t) be the third derivative of t**6/80 - t**5/10 - 3*t**4/16 + 9*t**3/2 + 3*t**2. Factor a(m).
3*(m - 3)**2*(m + 2)/2
Let c be 4/(-9) + (-142)/(-36) + -3. Solve c*a**2 - a**3 + 1/2*a + 0 = 0.
-1/2, 0, 1
Let c(n) = n**2. Let b(y) = -y**3 - 2*y**2 - y + 2. Let f(u) = b(u) + 2*c(u). Let t be f(0). What is q in 0*q - 2/5 + 2/5*q**t = 0?
-1, 1
Let y(a) be the third derivative of -a**5/60 + 5*a**4/24 + a**3/3 - a**2. Let g be y(5). Find d such that -2*d**2 - d - 1 - g*d + d**3 + 3*d**2 + 2*d = 0.
-1, 1
Let c(x) = 2*x**2 + 1. Let y be c(-1). Let w(a) be the second derivative of 0*a**4 + 0*a**y + 1/20*a**5 + 0*a**2 + 2*a + 0. Determine f, given that w(f) = 0.
0
Let x(d) be the first derivative of -2*d**3/51 + 3*d**2/17 - 4*d/17 + 6. Factor x(r).
-2*(r - 2)*(r - 1)/17
Let t = 22 - 22. Determine q, given that 10/9*q**3 - 2/9*q + 2/9*q**2 + 2/3*q**4 + t = 0.
-1, 0, 1/3
Let x = -134 + 940/7. Let z(d) be the first derivative of -2/35*d**5 - x*d**2 + 2/7*d + 1/7*d**4 + 2 + 0*d**3. Factor z(u).
-2*(u - 1)**3*(u + 1)/7
Let c(j) be the third derivative of -j**6/6 - 6*j**5/5 - 2*j**4 + 16*j**3/3 + 39*j**2. Factor c(p).
-4*(p + 2)**2*(5*p - 2)
Determine o, given that 1/5 + 1/5*o**2 + 2/5*o = 0.
-1
Let g(s) be the first derivative of -s**7/3780 + s**6/1620 + s**5/540 - s**4/108 + s**3/3 - 1. Let f(t) be the third derivative of g(t). Factor f(v).
-2*(v - 1)**2*(v + 1)/9
Let a(p) be the third derivative of -1/140*p**7 + 2*p**2 + 1/12*p**3 + 1/16*p**4 - 1/672*p**8 + 0*p + 1/60*p**5 - 1/120*p**6 + 0. Factor a(y).
-(y - 1)*(y + 1)**4/2
Let q(k) be the third derivative of 1/48*k**4 - k**2 + 1/120*k**5 + 0 + 0*k**3 + 0*k. Factor q(c).
c*(c + 1)/2
Factor -4*w**3 - 75*w - w**3 - 14 - 35*w**2 - 31.
-5*(w + 1)*(w + 3)**2
Let n(i) be the third derivative of i**2 + 1/6*i**4 - 1/30*i**5 + 0*i + 0 - 1/3*i**3. Let n(a) = 0. What is a?
1
Let u(o) = -4*o**5 + 4*o**4 + 2*o**3 - 4*o**2 + 2*o - 2. Let m(q) = q**3 - q + 1. Let t(y) = -2*m(y) - u(y). Determine a, given that t(a) = 0.
-1, 0, 1
Let q be (-6)/15 + (-196)/(-390). Let x = q - -22/39. Factor 0 + 0*h**3 + 0*h + x*h**2 - 2/3*h**4.
-2*h**2*(h - 1)*(h + 1)/3
Factor 0*v + 12/5*v**3 + 3/5*v**2 + 9/5*v**4 + 0.
3*v**2*(v + 1)*(3*v + 1)/5
Let i(z) be the second derivative of z**4/66 - z**3/11 + 2*z**2/11 - z. Factor i(h).
2*(h - 2)*(h - 1)/11
Let f be -5*3/(45/12). Let k = -2 - f. Suppose -2/5 - 8/5*n**k - 8/5*n = 0. What is n?
-1/2
Let d(u) = 4*u**2 - 4. Let p(n) = n**2 - 1. Suppose 2*o = 4*v + 10, -5*v - 20 = 5*o - 10*o. Let h(f) = v*d(f) + 3*p(f). Factor h(c).
-(c - 1)*(c + 1)
Let l(f) be the first derivative of -f**4/34 - 2*f**3/51 + 4*f**2/17 + 8*f/17 - 13. Let l(c) = 0. Calculate c.
-2, -1, 2
Let f(k) be the third derivative of k**6/660 + k**5/165 + k**4/132 - 10*k**2. Factor f(j).
2*j*(j + 1)**2/11
Let y(t) be the second derivative of -t**5/20 + t**4/3 - 2*t**3/3 - 13*t. Factor y(g).
-g*(g - 2)**2
Let o(n) be the second derivative of n**7/70 - n**5/20 + 3*n**2 - 4*n. Let h(t) be the first derivative of o(t). Factor h(u).
3*u**2*(u - 1)*(u + 1)
Let y(c) = 4*c - 2. Let k be y(1). Factor 3*f**k + 0*f**2 + 10*f**3 - 10*f - 21*f**2 + 14*f**4 + 4.
2*(f - 1)*(f + 1)**2*(7*f - 2)
Let o be ((-28)/(-12))/(2/(-6)). Let d = o + 11. Factor 2/5*s**2 + 2/5*s**3 + 0 - 2/5*s**5 + 0*s - 2/5*s**d.
-2*s**2*(s - 1)*(s + 1)**2/5
Let u(z) = -30*z**2 - 16*z - 4. Let p(n) = n**2 - 1. Let l(v) = -4*p(v) + 2*u(v). Suppose l(y) = 0. What is y?
-1/4
Let s(v) =