 - 1 - 11*q + 15*q. Let b(v) = 3*v**2 + 24. Let c(o) = -b(o) - 12*n(o). Solve c(g) = 0 for g.
2
Let v(p) be the second derivative of p**4/60 + p**3/15 - 12*p. Factor v(g).
g*(g + 2)/5
Let b(w) = -7 - 5*w**2 - 4 + 4*w - w + 5*w. Let i(g) = 2*g**2 - 3*g + 4. Let t(m) = -3*b(m) - 8*i(m). Factor t(x).
-(x - 1)*(x + 1)
Let b(c) be the third derivative of c**5/100 - 2*c**4/5 + 32*c**3/5 + 21*c**2. Factor b(g).
3*(g - 8)**2/5
Let f be ((-12)/(-7))/(2/14). Let -2*p**2 + f*p - 3*p**2 + p**2 - 8 = 0. Calculate p.
1, 2
Let p = -4700/3 - -1568. Factor -p - 2/3*h**3 - 8/3*h**2 - 10/3*h.
-2*(h + 1)**2*(h + 2)/3
Let b(v) be the third derivative of 1/720*v**6 - 1/144*v**4 + 0 + 0*v**3 + 0*v**5 + 0*v - v**2. Factor b(p).
p*(p - 1)*(p + 1)/6
Factor 7 + 6*z - 20*z - z**2 + 8*z.
-(z - 1)*(z + 7)
Let n(i) be the first derivative of i**5/35 + 3*i**4/28 + i**3/21 - 3*i**2/14 - 2*i/7 - 10. Determine w so that n(w) = 0.
-2, -1, 1
Suppose 6/7*d**2 + 0 + 10/7*d**3 - 18/7*d + 2/7*d**4 = 0. What is d?
-3, 0, 1
Let v be (10/4)/(-5)*-2. Let q = 3 - v. Let -4/7*m**q - 2/7*m + 0 = 0. Calculate m.
-1/2, 0
Factor 12/5 + 2/5*i**2 - 2*i.
2*(i - 3)*(i - 2)/5
Let w(t) be the third derivative of t**7/7560 - t**6/1080 + 5*t**4/24 + 5*t**2. Let f(y) be the second derivative of w(y). Factor f(s).
s*(s - 2)/3
Let h = 20 - 59/3. Let m = 0 - -2. Factor 0 + 1/3*d**4 - h*d**m - 1/3*d**5 + 0*d + 1/3*d**3.
-d**2*(d - 1)**2*(d + 1)/3
Factor 3/4*k**2 - 3/4*k + 0.
3*k*(k - 1)/4
Suppose -30*i + 29*i = 0. Let q(d) be the second derivative of 1/3*d**3 + 0 - 2*d + i*d**2 + 1/6*d**4. Factor q(o).
2*o*(o + 1)
Let x(q) be the second derivative of q**4/3 - 2*q**3/3 - 10*q. Determine w, given that x(w) = 0.
0, 1
Let h = 97/190 - 1/95. Factor -h - i - 1/2*i**2.
-(i + 1)**2/2
Let c(q) be the third derivative of q**5/20 - q**4/4 + 3*q**2. Factor c(y).
3*y*(y - 2)
Let w be ((-12)/10)/(15/25 - 1). Let p(z) be the second derivative of -1/10*z**5 + 1/2*z**4 - 3*z + 0 + z**2 - z**w. Factor p(m).
-2*(m - 1)**3
Let j(n) be the second derivative of -2*n**7/21 + 2*n**6/5 - 2*n**5/5 - 2*n**4/3 + 2*n**3 - 2*n**2 - 12*n. Factor j(z).
-4*(z - 1)**4*(z + 1)
Let y be (-1)/3 - 50/(-60). Let i be 32/14 - 4/14. Factor 1/2 + w + y*w**i.
(w + 1)**2/2
Let f(j) be the first derivative of -j**6/15 + 2*j**5/25 + j**4/5 - 4*j**3/15 - j**2/5 + 2*j/5 + 9. What is a in f(a) = 0?
-1, 1
Let p(i) be the third derivative of i**5/240 + i**4/24 - 5*i**3/24 - 6*i**2. Factor p(y).
(y - 1)*(y + 5)/4
Let g(t) be the first derivative of -2/3*t**3 + 1 + 2*t**2 - 2*t. Suppose g(w) = 0. What is w?
1
Let s(u) be the third derivative of -u**8/2184 - 2*u**7/1365 + u**6/260 + 2*u**5/195 - u**4/39 - 13*u**2. Factor s(b).
-2*b*(b - 1)**2*(b + 2)**2/13
Let v = 57 + -52. Let f(y) be the first derivative of -2/5*y**v + 0*y**3 + 0*y**4 + 0*y**2 - 4 + 0*y. Factor f(r).
-2*r**4
Let g = 3 + -1. Suppose -g*b = -b - 2. Factor i**2 - i - 2*i + b*i.
i*(i - 1)
Factor -3/7*a**5 + 6/7*a**3 + 0*a**4 + 0*a**2 + 0 - 3/7*a.
-3*a*(a - 1)**2*(a + 1)**2/7
Let l(c) be the third derivative of c**9/181440 - c**7/15120 + c**5/30 + 2*c**2. Let h(j) be the third derivative of l(j). Find i such that h(i) = 0.
-1, 0, 1
Let t(o) = 5*o**4 - 4*o**3 + 7*o**2 + 4*o - 6. Let l(p) = -4*p**4 + 3*p**3 - 6*p**2 - 3*p + 5. Let m(x) = 6*l(x) + 5*t(x). Suppose m(j) = 0. What is j?
-1, 0, 1, 2
Let p(z) = 2*z**5 + 4*z**4 + 2*z**3 + 5*z. Suppose 2*v = 3 + 1. Let d(j) = -2 + v - j. Let l(b) = -5*d(b) - p(b). Factor l(u).
-2*u**3*(u + 1)**2
Let m(l) be the first derivative of -l**4/2 - 2*l**3/3 + 5*l**2 - 6*l - 3. Find n such that m(n) = 0.
-3, 1
Let g(m) be the third derivative of -m**5/20 - 7*m**4/8 - 3*m**3 + 14*m**2. Suppose g(u) = 0. Calculate u.
-6, -1
Let n be (2 - 1) + 2 - -2. Solve n*x**3 + x**2 + 0*x**3 - 4*x**3 = 0 for x.
-1, 0
Let t(z) be the second derivative of z**7/63 + 2*z**6/15 + 4*z**5/15 - z**4/9 - z**3 - 4*z**2/3 - 27*z. Let t(v) = 0. Calculate v.
-4, -1, 1
Let z(j) be the first derivative of -7*j**6/6 - 12*j**5/5 - 3*j**4/4 + 2*j**3/3 + 6. Solve z(t) = 0.
-1, 0, 2/7
Factor 0*x - 25 - 11*x**2 + 2*x + 27 - 7*x - 4*x**3.
-(x + 1)*(x + 2)*(4*x - 1)
Let g(n) be the second derivative of 1/18*n**4 + 2/3*n**2 + 0 + n + 1/3*n**3. Let g(x) = 0. Calculate x.
-2, -1
Let v(g) be the second derivative of -g**6/75 + 4*g**5/25 - 4*g**4/5 + 32*g**3/15 - 16*g**2/5 + 27*g. Factor v(a).
-2*(a - 2)**4/5
Let p = 2/5 + -1/15. Let f(m) be the first derivative of -1 + p*m - 1/3*m**2 + 1/9*m**3. Suppose f(r) = 0. What is r?
1
Let z(r) be the first derivative of r**7/4200 - r**6/900 + 2*r**3 - 2. Let t(d) be the third derivative of z(d). Determine y so that t(y) = 0.
0, 2
Let d(y) = y**3 - 4*y**2 - 3*y - 3. Let c(p) = -p**3 + p + 1. Let q(g) = 3*c(g) + d(g). Find o, given that q(o) = 0.
-2, 0
Factor 2*k**2 + 3*k**3 - 2*k + 2*k - 5*k**2.
3*k**2*(k - 1)
Let f(r) be the third derivative of -r**2 + 0*r**4 + 1/20*r**5 + 0*r**3 + 0*r + 0. What is b in f(b) = 0?
0
Let f(w) be the third derivative of w**8/20160 - w**7/1680 + w**6/360 - w**5/60 + 2*w**2. Let i(m) be the third derivative of f(m). Find b, given that i(b) = 0.
1, 2
Let u be 4/(-14) + 2/7. Suppose u*m - 6 = -2*m. Factor 3 - m + 7*y**2 - 5*y**2.
2*y**2
Suppose -3*i**3 - 207*i**5 + 203*i**5 + 8*i**4 - i**3 = 0. Calculate i.
0, 1
Factor 8*g - 14*g + 3*g**2 + g**2 + 2 + 0.
2*(g - 1)*(2*g - 1)
Let t(n) = -n + 2. Suppose 0 = 3*w - 1 - 5. Let b be t(w). Factor 2/5*h**3 + 2/5*h**4 + 0*h**2 + 0 + b*h.
2*h**3*(h + 1)/5
Suppose -3*l + 6 = -5*z, 3*z = -4*l - 1 + 9. Factor -3*c**2 + 2*c**l + 9*c + 7*c - 14*c.
-c*(c - 2)
Let k(f) be the second derivative of f**4/4 - 5*f**3 + 75*f**2/2 - 17*f. Factor k(u).
3*(u - 5)**2
Suppose -q - 161 = -j - 2*j, -5*j + 272 = 2*q. Let d be 12/j - (-4)/(-18). Determine u, given that -6/5*u**3 - 1/5*u - 1/5*u**5 + 4/5*u**4 + d + 4/5*u**2 = 0.
0, 1
Let z(p) = 3*p**2 - 4*p**2 - 4*p**2 - 2*p**2. Let w(k) = 2*k**2. Let l(i) = 22*w(i) + 6*z(i). Factor l(f).
2*f**2
Let s be 32/6 + 10/30*-15. Factor 1/3 - s*t**2 + 0*t.
-(t - 1)*(t + 1)/3
Let l(q) be the second derivative of 1/84*q**4 - 2*q + 2/21*q**3 - 3/2*q**2 - 1/210*q**5 + 0. Let f(m) be the first derivative of l(m). Let f(z) = 0. What is z?
-1, 2
Find a such that -3*a + 6 - a**2 - 3*a - 2*a**2 + 3*a = 0.
-2, 1
Let n(l) = -9*l**2 + 3. Suppose 4*o = -3 - 5. Let z(u) = -u**3 - 8*u**2 - u + 2. Let i(g) = o*n(g) + 3*z(g). Factor i(h).
-3*h*(h + 1)**2
Let d(n) be the second derivative of 9*n**5/10 - n**4/2 - 8*n**3/3 + 4*n**2 + 20*n. Factor d(a).
2*(a + 1)*(3*a - 2)**2
Let y(z) be the first derivative of -35*z**4/2 + 8*z**3/3 + 4*z**2 + 6. Factor y(h).
-2*h*(5*h - 2)*(7*h + 2)
Let d = 11 - 6. Suppose 0*n**2 - d*n**3 + 3*n**3 + 2*n**2 + 5*n**3 = 0. Calculate n.
-2/3, 0
Let r(l) be the second derivative of l**5/130 + 2*l. Factor r(m).
2*m**3/13
Let k be 1/(-4) + ((-2541)/(-60))/11. Factor -21*u**2 + k + 33/5*u.
-3*(5*u - 3)*(7*u + 2)/5
Let q(s) be the first derivative of s**6/2340 + s**5/780 - 2*s**3/3 - 7. Let o(b) be the third derivative of q(b). Factor o(c).
2*c*(c + 1)/13
Let g(v) be the third derivative of -v**5/100 + v**4/40 + v**3/5 - 17*v**2. Factor g(a).
-3*(a - 2)*(a + 1)/5
Let f(b) = -b**3 - 18*b**2 - 17*b + 5. Let x(g) = -9*g**2 - 9*g + 3. Let k(q) = -3*f(q) + 5*x(q). What is o in k(o) = 0?
-2, -1, 0
Let j(u) be the first derivative of -16/11*u**2 + 14/55*u**5 + 50/33*u**3 - 1/33*u**6 - 19/22*u**4 + 8/11*u - 8. Factor j(s).
-2*(s - 2)**2*(s - 1)**3/11
Let d(s) = -s**3 - 6*s**2 - 6*s - 3. Let i be d(-5). Suppose -4*b**i + 0 + 0 + 2*b + 5*b**2 = 0. Calculate b.
-2, 0
Solve 2*s**2 - 33*s**3 - 2*s**4 + 0*s - 2*s + 35*s**3 = 0 for s.
-1, 0, 1
Factor -12/7*i**2 + 18/7*i + 2/7*i**3 + 0.
2*i*(i - 3)**2/7
Let p(c) be the third derivative of c**9/3024 - c**8/1680 - c**3/6 - c**2. Let k(z) be the first derivative of p(z). Factor k(f).
f**4*(f - 1)
Let t = 22 + -18. Factor 0*y + 0 - 1/5*y**3 + 1/5*y**t + 0*y**2.
y**3*(y - 1)/5
Let t(m) = -9*m**2 + 64*m - 7. Let y be t(7). Suppose 3/4*o**2 + 27/4*o**4 + 9/2*o**3 + 0*o + y + 3*o**5 = 0. Calculate o.
-1, -1/4, 0
Let f = -127 - -127. Factor 2/9*n**3 + 0*n + f - 2/9*n**2.
2*n**2*(n - 1)/9
Let y(h) be the first derivative of 0*h + 1 + 1/3*h**2 - 2/3*h**3 - 2/15*h**5 + 1/2*h**4. Factor y(n).
-2*n*(n - 1)**3/3
Suppose 0 = 3*d - 5*d - b + 9, -14 = 