 0 + w*x + 1/16*x**4. Factor y(u).
(u + 1)**3/2
Let v(f) = -9*f**2 + 4*f + 13. Let g = -19 + 7. Let s = g + 5. Let m(n) = 4*n**2 - 2*n - 6. Let a(p) = s*m(p) - 3*v(p). Solve a(i) = 0.
-1, 3
Let s(w) be the first derivative of -w**6/60 - w**5/15 - w**4/12 + 27*w**2/2 + 14. Let x(a) be the second derivative of s(a). Factor x(y).
-2*y*(y + 1)**2
Let p(a) be the first derivative of 7*a**8/480 - a**7/144 - a**6/135 + a**5/180 - a**3 + 2. Let o(v) be the third derivative of p(v). Solve o(i) = 0.
-1/3, 0, 2/7
Find o, given that 48*o - 148/3 + 4/3*o**2 = 0.
-37, 1
Let t(d) = 43*d**2 - 4*d - 3. Let l(i) = -4*i**2. Let w(r) = -44*l(r) - 4*t(r). Factor w(u).
4*(u + 1)*(u + 3)
Let j(n) be the third derivative of -n**6/60 + n**5/15 - n**4/12 - 310*n**2 + 1. Determine l so that j(l) = 0.
0, 1
What is u in 5880*u**2 + 0*u + 3/5*u**5 + 0 + 2772*u**3 - 414/5*u**4 = 0?
-2, 0, 70
Let v(p) be the first derivative of -p**5/80 + p**4/48 + p**3/12 + 16*p + 8. Let n(a) be the first derivative of v(a). Suppose n(i) = 0. Calculate i.
-1, 0, 2
Let l = -148495/8 + 18563. Solve -l - 49/8*w**2 + 21/4*w = 0 for w.
3/7
Let 81/4*u - 1/4*u**2 - 20 = 0. Calculate u.
1, 80
Suppose 1/8*q**4 - 729/8*q + 0 + 675/8*q**2 + 53/8*q**3 = 0. Calculate q.
-27, 0, 1
Let f(u) be the first derivative of -u**3 + 0*u - 1/140*u**5 + 0*u**2 + 1/1260*u**6 + 7 - 1/21*u**4. Let x(z) be the third derivative of f(z). Factor x(s).
2*(s - 4)*(s + 1)/7
Let o = -1726 - -1730. Suppose 5/6*s**o + 1/3*s**2 + 0 + 0*s + 11/6*s**3 = 0. What is s?
-2, -1/5, 0
Suppose 2*a + 8 = -2*r - a, 4*a + 22 = 3*r. Factor -29 + 16 - r*l**2 + 6*l + 9.
-2*(l - 2)*(l - 1)
Suppose 102 + 18 = 5*o. Suppose 5*v + 9 = o. Factor 2/7 + 8/7*i + 8/7*i**v + 12/7*i**2 + 2/7*i**4.
2*(i + 1)**4/7
Let v = -172 - -175. Let b(t) be the second derivative of -399/20*t**5 + 5*t + 147/10*t**6 + 0 + 10*t**4 + 0*t**2 - 2*t**v. Let b(o) = 0. What is o?
0, 2/7, 1/3
Let a(b) be the first derivative of -5*b**4/36 + 5*b**3/9 + 4*b + 21. Let d(m) be the first derivative of a(m). Factor d(r).
-5*r*(r - 2)/3
Let f(x) = -x**3 + 10*x**2 - 8*x - 5. Let q be f(9). Let r be (-2 + 1)*(q + -9). Factor r*k**4 + 3*k**3 - 2*k**4 + 0 + 0.
3*k**3*(k + 1)
Suppose 0 = -4*p - 5*u - 17, 3*u = p - 16 - 1. Factor 9*d**3 + 1070*d**p - 1 + 13*d - 1050*d**2 + 3.
(d + 1)**2*(9*d + 2)
Let l be 28/30 - 6/(-15). Let n be ((-1)/(-9))/((-1)/(-3)). Factor -11/3*d**3 + n - 3*d**2 - 1/3*d - l*d**4.
-(d + 1)**3*(4*d - 1)/3
Let m be 1/(3/9) - 1. Factor 14*n**2 - 40*n - n**3 - 10*n - 25*n + n**m + 125.
-(n - 5)**3
Factor -3200 + 2/5*c**3 + 480*c - 24*c**2.
2*(c - 20)**3/5
Let w(b) = -b**4 + 9*b**3 - 19*b**2 - 47*b + 56. Let o(g) = 3*g**4 - 9*g**3 + 18*g**2 + 48*g - 57. Let x(z) = 2*o(z) + 3*w(z). Find u, given that x(u) = 0.
-3, 1, 2
Factor 41*r**2 - 25*r**2 - 12*r**2 - 28*r - 32.
4*(r - 8)*(r + 1)
Suppose 4*c + 3*k = 3*c + 7, -8 = -c - 4*k. Let w(j) be the first derivative of 0*j**2 + 8 + 0*j**c + 1/5*j**5 - 2/3*j**3 + j. Factor w(t).
(t - 1)**2*(t + 1)**2
Let h(q) be the third derivative of -q**5/195 + q**4/156 + 28*q**2. Factor h(u).
-2*u*(2*u - 1)/13
Let d be (64 + -62)*(-6)/(-4). Suppose 0 - 1/7*h**5 + 2/7*h**2 - 5/7*h**d + 4/7*h**4 + 0*h = 0. Calculate h.
0, 1, 2
Let o be ((-18)/15)/((-1)/(390/9)). Factor -56*r - o*r - 8 + 158*r - 62*r - 4*r**2.
-4*(r + 1)*(r + 2)
Let f(l) be the first derivative of -5*l**6/6 - 27*l**5 - 395*l**4/2 - 1900*l**3/3 - 1020*l**2 - 800*l + 158. Factor f(n).
-5*(n + 1)*(n + 2)**3*(n + 20)
What is h in -h**2 + h - h + 2*h - 5*h = 0?
-3, 0
Suppose 11*a + 3*q = 9*a + 13, 0 = -2*q + 6. Determine g so that 3/4*g**a + 1/4 - 3/4*g - 1/4*g**3 = 0.
1
Let k(v) = v**2 + 5*v + 2. Let q be k(-5). Factor 5*p**4 + 170*p**2 - 11*p**3 + p**3 - 170*p**q.
5*p**3*(p - 2)
Solve 530/9*m**2 + 2/9*m**5 - 2/9*m**3 + 72 - 26/9*m**4 + 128*m = 0 for m.
-2, -1, 9
Let v(l) be the third derivative of 0*l**3 + 0*l + 0*l**4 - 1/30*l**6 - 1/30*l**5 - 1/672*l**8 + 0 - l**2 - 1/84*l**7. Solve v(d) = 0 for d.
-2, -1, 0
Suppose 4*f + 7 = -3*a, 0*a - 4*a - 4*f - 4 = 0. What is d in -19*d**3 + 14*d**4 - 10*d**5 - 29*d**a + 20*d + 31*d**4 - 7*d**3 = 0?
-1/2, 0, 1, 2
Let l(p) be the second derivative of p**5/5 + 7*p**4/3 + 8*p**3/3 - 24*p**2 + 77*p. Factor l(f).
4*(f - 1)*(f + 2)*(f + 6)
Let g be -2*(-2 - 1/(-2)). Determine p so that 2*p**4 - 2*p**2 - 2*p**3 + 8*p**g + 2*p**5 - 8*p**3 = 0.
-1, 0, 1
Let h(l) = -l**3 - 24*l**2 - 66*l - 987. Let u be h(-23). Solve 3/4*j**u - 3/2 + 7/4*j = 0 for j.
-3, 2/3
Let s(z) be the third derivative of z**9/36288 + z**8/30240 - z**7/756 - z**6/270 - z**5/60 - 10*z**2. Let r(u) be the third derivative of s(u). Factor r(n).
(n - 2)*(n + 2)*(5*n + 2)/3
Suppose l + 100 = 103. Let m(z) be the second derivative of 5*z + 0*z**l - 1/12*z**4 + 1/2*z**2 + 0. Factor m(g).
-(g - 1)*(g + 1)
Let k be (-7)/(-4)*(-2688)/(-13328). Find x, given that -6/17*x**4 + 0*x + k*x**2 + 0 - 2/17*x**5 + 2/17*x**3 = 0.
-3, -1, 0, 1
Let c(q) = -20*q**4 - 15*q**3 + 20*q**2 + 15*q. Let m(h) = -h**4 + h**3 + h**2 - h. Let z = 109 - 104. Let y(u) = z*m(u) + c(u). Solve y(t) = 0.
-1, -2/5, 0, 1
Let i(u) be the third derivative of 0 + 0*u - 1/60*u**6 - 1/105*u**7 - 5*u**2 - 1/672*u**8 + 0*u**3 + 0*u**4 + 0*u**5. Determine j, given that i(j) = 0.
-2, 0
Suppose 2/9 - 2/3*v**2 + 2/9*v**3 + 4/9*v**4 - 2/9*v = 0. What is v?
-1, 1/2, 1
Let n = 1388/7379705 - -6/5065. Let w = 17498/10199 - n. What is c in w*c**2 - 8/7*c + 2/7*c**4 - 8/7*c**3 + 2/7 = 0?
1
Let p(x) be the second derivative of -x**7/1050 + x**6/600 - x**2 + 4*x. Let y(n) be the first derivative of p(n). Suppose y(w) = 0. What is w?
0, 1
Factor 29*g**3 - 34*g**3 - 13*g**3 - 3*g**4 + 36*g**2 + 36*g**2 - 78*g + 27.
-3*(g - 1)**3*(g + 9)
Let d(y) = -226*y**4 - 24*y + 225*y**4 + 29*y**2 + 24*y**3 - 6*y**2. Let h(b) = 8*b**3 + 8*b**2 - 8*b. Let n(g) = 4*d(g) - 11*h(g). What is a in n(a) = 0?
-1, 0, 1, 2
Let k(a) be the first derivative of a**6/45 + a**5/10 + a**4/6 + a**3/9 - a - 8. Let m(x) be the first derivative of k(x). Find s such that m(s) = 0.
-1, 0
Let p(b) = -8*b**4 - 7*b**3 + 2*b**2 + 8*b. Let v = -25 + 24. Let l = -6 - v. Let a(k) = k**4 + k**2 - k. Let i(x) = l*a(x) - p(x). What is s in i(s) = 0?
-3, -1/3, 0, 1
Let v(g) be the first derivative of g**5/75 + g**4/20 + g**3/15 - 6*g**2 + 2. Let t(p) be the second derivative of v(p). Let t(x) = 0. Calculate x.
-1, -1/2
Let j(l) be the first derivative of -l**5/3 - 115*l**4/12 - 715*l**3/9 - 605*l**2/6 + 13. Factor j(n).
-5*n*(n + 1)*(n + 11)**2/3
Factor 0*h + 0 + 16/9*h**3 + 2/9*h**5 + 10/9*h**4 + 8/9*h**2.
2*h**2*(h + 1)*(h + 2)**2/9
Let s(m) be the second derivative of 1/60*m**4 - 2*m - 40 - 1/10*m**2 + 0*m**3. Determine p, given that s(p) = 0.
-1, 1
Factor -16*a + 18 - 3*a**3 + 9*a**2 + 23*a - 46*a + 15*a**2.
-3*(a - 6)*(a - 1)**2
Suppose a - 3*h + 7 = -6*h, -3*h = 9. Let i(o) be the first derivative of 5/9*o**3 + 1/2*o**a - 3*o + 1/12*o**4 - 2. Find k such that i(k) = 0.
-3, 1
Let b(s) = -6*s**2 + 6*s - 2. Let f(m) = -31*m**2 + 31*m - 11. Let u be 1/(1/3*(-12)/(-8)). Let o(i) = u*f(i) - 11*b(i). Determine c, given that o(c) = 0.
0, 1
Suppose 2*u + 2 = r + 5, 3*u - 9 = 0. Find v such that -2/5*v + 1/5*v**r + 1/5*v**2 + 0 = 0.
-2, 0, 1
Let u be 0/(-3) + 2 + (3 - 3). Factor -108*x + 80 + 45*x**2 - 5*x**3 - 12*x + 0*x**u.
-5*(x - 4)**2*(x - 1)
Let f(s) be the third derivative of 1/36*s**5 + 0*s**3 + 0 - 1/18*s**4 - 11*s**2 + 0*s - 1/360*s**6. Suppose f(w) = 0. What is w?
0, 1, 4
Let u(l) be the first derivative of -l**4/84 - l**3/14 - l**2/7 - 18*l + 2. Let a(s) be the first derivative of u(s). Factor a(r).
-(r + 1)*(r + 2)/7
Let j(i) be the first derivative of 12*i**5/5 - 99*i**4/4 + 92*i**3 - 279*i**2/2 + 54*i - 59. Find t, given that j(t) = 0.
1/4, 2, 3
Suppose -8/3*b**3 - 8/3*b**2 + 0*b + 2/3*b**5 + 0 + 2/3*b**4 = 0. What is b?
-2, -1, 0, 2
Let d(c) be the third derivative of c**6/120 - 11*c**5/40 + 3*c**4 - 16*c**3/3 - 116*c**2. Let d(x) = 0. What is x?
1/2, 8
Suppose -3*p + 4 = -2. Suppose -4 = -p*g + 2. Suppose -y**2 + g*y**2 - 4*y**2 - 2*y = 0. What is y?
-1, 0
Let y(d) = 16*d**2 + 48*d - 144. Let x(l) = 59*l + l**2 - 59*l. Let g(v) = 20*x(v) - y(v). Determine i, given that g(i) = 0.
6
Let x(b) be the third derivative of 1/75*b**5 + 1/6*b**4 + 0 + 9*b**2 + 4/5*b**3 + 0*b. Sol