 j(2). Let p be (x + -6)*1/(-14). Solve -2/7*f + p*f**2 + 0 = 0 for f.
0, 1
Suppose 5*g + a = 10, 8 = 3*g + g - 4*a. Let k(b) be the first derivative of -2/21*b**3 - 2/7*b + 2/7*b**g + 4. Factor k(t).
-2*(t - 1)**2/7
Let k(t) be the third derivative of t**7/840 + t**6/360 + t**3/2 + 3*t**2. Let w(l) be the first derivative of k(l). Factor w(o).
o**2*(o + 1)
Let x(o) be the second derivative of o**2 + 0 + 3*o + 1/24*o**4 + 1/3*o**3. Factor x(h).
(h + 2)**2/2
Let q(y) be the first derivative of -y**6/6 - 4*y**5/5 - 3*y**4/2 - 4*y**3/3 - y**2/2 - 10. Factor q(v).
-v*(v + 1)**4
Let m(b) be the second derivative of -1/16*b**4 + 2*b - 1/8*b**3 - 1/80*b**5 - 1/8*b**2 + 0. What is h in m(h) = 0?
-1
Let r(a) be the third derivative of a**6/120 + a**5/60 + 2*a**3/3 + 8*a**2. Let b be r(-2). Find u, given that -2/7*u**3 + 0 + b*u - 2/7*u**2 = 0.
-1, 0
Factor 4*a**3 - 3*a**4 - 8*a**2 + a**3 - a**4 + 7*a**3.
-4*a**2*(a - 2)*(a - 1)
Let p = -1049 + 26229/25. Let t(a) be the first derivative of -1/5*a**2 + p*a**5 + 0*a + 0*a**4 - 1 - 4/15*a**3 + 1/15*a**6. Factor t(c).
2*c*(c - 1)*(c + 1)**3/5
Factor -2/13*f - 2/13*f**2 + 4/13.
-2*(f - 1)*(f + 2)/13
Let n = 1/24 + 31/24. Factor 0*d + 0 + n*d**2 + 2/3*d**3.
2*d**2*(d + 2)/3
Suppose -71 = 3*s - 71. Let 0*n**2 + s - 2/5*n**3 + 2/5*n = 0. What is n?
-1, 0, 1
Let j(w) be the third derivative of 1/28*w**4 + 6*w**2 + 0 + 1/14*w**3 + 0*w + 1/140*w**5. Factor j(z).
3*(z + 1)**2/7
Let x = 23/354 + 6/59. Let g(m) be the first derivative of 1/24*m**4 + 1/18*m**3 + 3 - x*m - 1/12*m**2. Factor g(q).
(q - 1)*(q + 1)**2/6
Let r(o) be the first derivative of 0*o**2 + 0*o + 1/4*o**4 + 3 + 1/3*o**3 - 1/5*o**5 - 1/6*o**6. Suppose r(k) = 0. Calculate k.
-1, 0, 1
Let v(h) = h**2 + h - 1. Let b(u) = -6*u**2 - u**3 + 2*u - 6*u + 0 + 6. Suppose -2 = -3*w + 1. Let x(r) = w*b(r) + 5*v(r). Find j such that x(j) = 0.
-1, 1
Let i(o) be the second derivative of o**4/27 + 2*o**3/27 + 23*o. Factor i(w).
4*w*(w + 1)/9
Let d(i) = 105*i**3 - 135*i**2 + 42*i + 12. Let l(q) = 19*q**2 - 42*q**3 - 5*q**2 - 5 - 17*q + 40*q**2. Let f(t) = -5*d(t) - 12*l(t). Factor f(v).
-3*v*(v - 1)*(7*v - 2)
Let o(u) = u**2 + 2*u. Let n(j) = 11*j**2 - 13*j + 20. Let t(a) = n(a) - 6*o(a). Factor t(f).
5*(f - 4)*(f - 1)
Let r(t) = t**3 - 4*t - 1. Let k be r(3). Let a = k - 27/2. Factor a - 3*d - 2*d**3 + 9/2*d**2.
-(d - 1)**2*(4*d - 1)/2
Let g(o) be the first derivative of -o**5/10 + o**4/3 - o**3/3 - 4*o - 4. Let u(l) be the first derivative of g(l). Factor u(q).
-2*q*(q - 1)**2
Let f(m) = 7*m**3 + 8*m**2 + 3*m - 2. Let u(d) = 8*d**3 + 8*d**2 + 3*d - 2. Let j(n) = -5*f(n) + 4*u(n). Factor j(q).
-(q + 1)*(q + 2)*(3*q - 1)
Let i(l) be the third derivative of -7*l**6/660 + l**5/165 + 7*l**4/132 - 2*l**3/33 + 13*l**2. Determine x, given that i(x) = 0.
-1, 2/7, 1
Suppose 4*y = -1 - 3. Let n be (-24)/8*y/15. Suppose 1/5*x**3 + 1/5*x**2 - 1/5 - n*x = 0. Calculate x.
-1, 1
Let i = 53/102 + -6/17. Let u(j) be the third derivative of 0 + 2*j**2 + i*j**4 - 1/30*j**5 - 1/3*j**3 + 0*j. What is l in u(l) = 0?
1
Let y(a) be the third derivative of a**7/560 + a**6/320 + 5*a**2. Find m, given that y(m) = 0.
-1, 0
Let x = 14 - 14. Find y such that x - 50/7*y**3 + 40/7*y**2 - 8/7*y = 0.
0, 2/5
Suppose -4*i = -4*t + 28, -3*t - 11*i = -16*i - 29. Suppose 1/5*n**4 - 2/5*n + 0*n**t - 3/5*n**2 + 0 = 0. What is n?
-1, 0, 2
Suppose 5*j - 11 - 9 = 0, 4 = 3*m + j. Solve m*g - 2/9*g**5 + 2/3*g**3 + 0*g**4 + 0 - 4/9*g**2 = 0 for g.
-2, 0, 1
Let t(q) be the first derivative of 8*q**3/21 + 9*q**2/7 + 4*q/7 - 1. Factor t(u).
2*(u + 2)*(4*u + 1)/7
Let i(s) be the second derivative of s**2 + 0 + 1/18*s**4 - 4/9*s**3 + s. Factor i(d).
2*(d - 3)*(d - 1)/3
Suppose -10 = -d - o, 4*o + 17 = 4*d - 23. Suppose -4*l = -2*j - 24 + d, -3*j - 1 = -2*l. Find y, given that 1/2*y + 0 + 1/2*y**5 - y**j + 0*y**4 + 0*y**2 = 0.
-1, 0, 1
Let a be 6/(-126)*141 + 7. What is l in a*l**2 + 4/7 - 6/7*l = 0?
1, 2
Factor 4/9*k**2 + 0 + 0*k - 4/9*k**3.
-4*k**2*(k - 1)/9
Let -16/5*b - 8/5*b**2 + 8/5*b**4 + 3*b**3 + 0 + 1/5*b**5 = 0. Calculate b.
-4, -1, 0, 1
Suppose -3*x + 5*x - 2 = -s, 3*x - 4*s = 14. Solve 25*a**4 + 5*a**3 - 13*a**3 + 2*a**x - 5*a**3 + 0*a**2 - 14*a**5 = 0 for a.
0, 2/7, 1/2, 1
Suppose 5*p - 10 = -10*m + 11*m, -5*p + 3*m = 0. Let 1/3*r**4 + 0 + 0*r - 2/3*r**p + 1/3*r**2 = 0. Calculate r.
0, 1
Let m be -22 + 1 - (2 + 1). Let g(i) = -i + 1. Let l(c) = -c**2 + 10*c - 9. Let s(u) = m*g(u) - 3*l(u). Factor s(x).
3*(x - 1)**2
Suppose -2/5*c + 0 + 2/5*c**2 = 0. Calculate c.
0, 1
Let w(h) be the second derivative of -h**7/42 - 2*h**6/15 - h**5/4 - h**4/6 - 37*h. Factor w(z).
-z**2*(z + 1)**2*(z + 2)
Let o(v) be the first derivative of -15/4*v**4 - 2 + 6*v + 12*v**3 - 27/2*v**2. Determine f so that o(f) = 0.
2/5, 1
Find t such that 0 + 4/5*t + 2/5*t**2 = 0.
-2, 0
Let c be 4/(-4)*(2 + 1). Let q be 5/(c + 2 + 2). Factor 0*u + 0 - 6/7*u**3 - 2/7*u**q + 2/7*u**2 + 6/7*u**4.
-2*u**2*(u - 1)**3/7
Suppose -190*f**4 + 72*f - 15*f**2 - 225*f**3 - 12 - 26*f**4 - 42*f**3 - 48*f**5 = 0. What is f?
-2, -1, 1/4
Let n be 10/(-6)*8/(-20). Factor 0*s + 0 - 2/3*s**5 - 2/3*s**4 + 2/3*s**2 + n*s**3.
-2*s**2*(s - 1)*(s + 1)**2/3
Suppose 0 = 2*g + 2 + 14. Let s be (-12)/g + (-3)/(-2). Determine p, given that 0 + 0*p + 2/3*p**2 + 2/3*p**s = 0.
-1, 0
Let d(j) = 6*j**3 + 6*j**2 - 9*j. Let z(v) = -v**3 - v**2 + v. Let i(k) = -d(k) - 3*z(k). Find l such that i(l) = 0.
-2, 0, 1
Let a(r) = 2*r - 5. Let y be a(6). Suppose -y*o + 10 = -2*o. Let 7*w - o + 2*w**2 - 6*w - w = 0. What is w?
-1, 1
Let o(b) be the second derivative of b**10/181440 + b**9/90720 - b**8/20160 - b**4/12 - b. Let r(s) be the third derivative of o(s). Factor r(z).
z**3*(z - 1)*(z + 2)/6
Determine w, given that -19*w**3 - 36*w + 4*w**4 + 60*w**2 + 12*w**3 - 21*w**3 = 0.
0, 1, 3
Factor -8*i**3 + 11*i**3 + 1 + 9 + 22*i - i**3 + 14*i**2.
2*(i + 1)**2*(i + 5)
Determine w, given that 8*w**4 + 5*w**3 - 2*w**5 - 3*w**3 - 8*w**3 = 0.
0, 1, 3
Let i(f) be the second derivative of -f**5/60 - f**4/4 - 3*f**3/2 - 3*f**2/2 + 2*f. Let w(c) be the first derivative of i(c). Factor w(y).
-(y + 3)**2
Let c(x) be the third derivative of -1/120*x**5 + 0 + 3*x**2 + 1/12*x**3 + 0*x + 0*x**4. Let c(m) = 0. Calculate m.
-1, 1
Factor 0*l + 0 + 0*l**2 - 4/3*l**5 - 8/3*l**4 + 0*l**3.
-4*l**4*(l + 2)/3
Let i = 330 + -326. Suppose 1/2*s**3 + 0*s - s**2 - 1/2*s**5 + 0 + s**i = 0. What is s?
-1, 0, 1, 2
Let b(h) be the second derivative of 1/6*h**4 - 1/42*h**7 + 1/4*h**3 + 1/8*h**2 - 2*h + 0 - 3/40*h**6 - 1/40*h**5. Determine d, given that b(d) = 0.
-1, -1/4, 1
Factor 7*h**3 + 76/3*h**2 + 41/3*h + 2.
(h + 3)*(3*h + 1)*(7*h + 2)/3
Let y be (10274/4)/((-42)/12). Let x = y + 735. Solve -x*c**2 + 2/7 - 6/7*c = 0.
-1, 1/4
Let d be 2/(-2) + 11*1. Let z(p) = -5*p**2 + 2*p - 3. Let k(l) = 4*l**2 + 0*l - 5*l**2 - 9*l**2 - 5 + 4*l. Let q(i) = d*z(i) - 6*k(i). Factor q(b).
2*b*(5*b - 2)
Let i be 4/16 - (-145)/12. Let a = -12 + i. Factor -a*h**2 + 1/3*h**4 + 0*h**3 + 0*h + 0.
h**2*(h - 1)*(h + 1)/3
Suppose -3*k + 12 + 6 = 0. Suppose 0 = y + k - 9. Determine c, given that -6/7*c**2 + 2/7*c**y - 2/7*c + 4/7 + 2/7*c**4 = 0.
-2, -1, 1
Factor -17*i**4 - 3*i**3 + 0*i**3 + 5*i**4.
-3*i**3*(4*i + 1)
Factor -2*c**2 - 2/3*c**3 + 0 - 4/3*c.
-2*c*(c + 1)*(c + 2)/3
Let z be (120/(-16) - -7) + (-9)/(-10). Let 2/5*k**4 + 0 - 2/5*k**2 + z*k**3 - 2/5*k**5 + 0*k = 0. Calculate k.
-1, 0, 1
Let o(a) be the first derivative of a**3 - a**2 + a + 1. Let p be o(2). Factor -p*q**2 + 3*q**3 + 5*q**3 + 2*q + q**3 - 2*q**3.
q*(q - 1)*(7*q - 2)
Suppose -6 = 9*i - 11*i. Let m(o) be the third derivative of 1/630*o**7 + 0*o**6 + 0*o**i - o**2 + 0*o**4 + 0 + 0*o - 1/180*o**5. Factor m(t).
t**2*(t - 1)*(t + 1)/3
Let t(p) be the second derivative of -2*p**7/7 - 14*p**6/15 - p**5 - p**4/3 - 22*p. What is a in t(a) = 0?
-1, -1/3, 0
Let o(q) be the second derivative of -q**6/75 - 2*q**5/25 - q**4/6 - 2*q**3/15 + 4*q. What is n in o(n) = 0?
-2, -1, 0
Suppose 5*n = -5*g, 8*n = 7*n - 3*g - 4. Factor 9/2*u**3 - 29/2*u**2 - n + 12*u.
(u - 2)*(u - 1)*(9*u - 2)/2
Factor 51*o**2 - 4*o + 8*o**3 + 4*o**4 - 4*o - 55*o**2.
4*o*(o - 1)*(o + 1)*(o + 2)
Let y(b) be the third derivative of b**5/100 - 21*b**2. Factor y(n).
3*n**2/5
Factor 4/17*n - 2/17 - 2/17*n**2.
-2*(