 3. Suppose -7 = -4*a + o. Factor 0*h**2 - 2*h + 4 - 5*h**2 + 2*h**3 + h**a.
2*(h - 2)*(h - 1)*(h + 1)
Let c(o) be the third derivative of o**8/4480 - o**7/1008 + o**6/720 - o**4/12 + 3*o**2. Let p(g) be the second derivative of c(g). Factor p(r).
r*(r - 1)*(3*r - 2)/2
Let k be ((2 + -2)/(-2))/(-3). Suppose 0 = z - 4 - k. Factor h**z + 2*h**2 + h**3 - h - 3*h**2 + 0*h**3.
h*(h - 1)*(h + 1)**2
Let o(i) be the first derivative of -i**6/480 - i**5/160 + i**3/3 + 5. Let n(t) be the third derivative of o(t). Solve n(j) = 0.
-1, 0
Let b(n) be the second derivative of -10*n + 4/7*n**2 + 1/42*n**4 - 4/21*n**3 + 0. Factor b(g).
2*(g - 2)**2/7
Let n = 43 - 211/5. Factor -2*h + n - 14/5*h**2.
-2*(h + 1)*(7*h - 2)/5
Let g(p) = -p**2 + 5*p - 3. Let y be g(3). Suppose 3 - i**4 + 3*i**y - 3 - 4*i**3 = 0. Calculate i.
-1, 0
Suppose 0*k - 4*k - 21 = -s, -24 = s + 5*k. Let c be 63*s/9*3. What is f in 3*f**3 + 22*f**2 - 2*f**3 - c*f**2 = 0?
-1, 0
Let g(s) be the first derivative of -s**5/5 + s**4/2 - s**3/3 - 1. Let g(x) = 0. Calculate x.
0, 1
Let p(r) = -9*r**2 + r + 4. Let k(a) = -17*a**2 + 2*a + 7. Let h(i) = 6*k(i) - 11*p(i). Let c(u) = -4*u**2 + 2*u - 3. Let d(x) = -2*c(x) + 3*h(x). Factor d(m).
-m*(m + 1)
Suppose -4*r - 4*o + 134 = -74, 144 = 3*r - o. Factor 2*j**5 + r*j**3 + 8*j**4 - 20*j**4 - 25*j**3 - 16*j**2.
2*j**2*(j - 2)**3
Let h be (1/(-1)*1)/(-30). Let a(z) be the third derivative of 1/12*z**4 + 1/105*z**7 + z**2 - h*z**5 + 0*z**3 + 0*z + 0 - 1/60*z**6. Factor a(j).
2*j*(j - 1)**2*(j + 1)
Let k(n) be the third derivative of n**5/180 - n**4/36 + 13*n**2. Let k(d) = 0. Calculate d.
0, 2
Let x = -6 - -8. Let c be 2*-4*(-3)/12. Factor -g**2 - 2*g**x + g**c.
-2*g**2
Let d(u) be the first derivative of u**6/9 + 2*u**5/5 + u**4/2 + 2*u**3/9 + 6. Factor d(k).
2*k**2*(k + 1)**3/3
Let g(d) be the third derivative of d**7/105 - d**6/30 - d**5/30 + d**4/6 - 57*d**2. Suppose g(n) = 0. What is n?
-1, 0, 1, 2
Let g be 5*(4 - (-234)/(-60)). Let i(j) = -j**3 - 4*j**2 - 5*j - 4. Let r be i(-3). Let 0*d**r + 1/2*d + 0 - g*d**3 = 0. Calculate d.
-1, 0, 1
Let r = 46 + -42. Let a(p) be the third derivative of 0*p**3 + 0*p**r + 0*p + 2*p**2 - 1/120*p**6 + 0 + 1/336*p**8 + 0*p**7 + 0*p**5. Let a(c) = 0. What is c?
-1, 0, 1
Let d be 0 + (-56)/(-90) - 186/465. Let d*r**2 - 2/9*r - 4/9 = 0. Calculate r.
-1, 2
Suppose 5*l - 568 = 4*t, -2*l + t + 24 = -205. Let p be -4 + (-1 - l/(-20)). Let 4/5 + 1/5*y**2 - p*y = 0. Calculate y.
2
Factor 4 - 25*o - 10*o**2 + 288*o**3 + 30*o**2 - 293*o**3 + 6.
-5*(o - 2)*(o - 1)**2
Let n(r) be the first derivative of -r**4/14 - 2*r**3/3 - 6*r**2/7 + 30. Factor n(l).
-2*l*(l + 1)*(l + 6)/7
Let 10/13*g**2 + 4/13*g + 8/13*g**3 + 2/13*g**4 + 0 = 0. What is g?
-2, -1, 0
Suppose x + 12 = 4*x. Suppose 8*u = 3*u + y + 11, -x*u = -4*y - 12. Let 6*h**u - 4*h**2 - 2*h**2 - 2*h + h**2 = 0. What is h?
0, 2
Factor 0 - 2*k**2 + 6/5*k + 2/5*k**3 + 2/5*k**4.
2*k*(k - 1)**2*(k + 3)/5
Let c be (-5)/60*(15 + -19). Factor -2/3*m + 1/3*m**2 + c.
(m - 1)**2/3
Find d such that 420*d**2 - 40*d**3 - 4*d**3 + 16 + 88*d**3 + 356*d**3 + 144*d = 0.
-2/5, -1/4
Let 1/3*i**2 + 0 + 0*i + 2/3*i**3 + 1/3*i**4 = 0. Calculate i.
-1, 0
Let i(t) = -5*t**3 - 15*t**2 - 6*t + 14. Let u(m) = -5*m**3 - 15*m**2 - 7*m + 13. Let w(n) = 7*i(n) - 6*u(n). Factor w(g).
-5*(g - 1)*(g + 2)**2
Suppose -3*w - 8 = -7*w. Let z(h) be the third derivative of -1/15*h**3 + 3/40*h**4 + 2*h**w - 1/75*h**5 + 0*h + 0. Factor z(k).
-(k - 2)*(4*k - 1)/5
Let n(g) be the third derivative of g**8/420 - 13*g**7/1050 + g**6/40 - 7*g**5/300 + g**4/120 - 3*g**2. Factor n(f).
f*(f - 1)**3*(4*f - 1)/5
Factor -159*n - 15*n**4 - 14*n**3 - 21*n**2 - 3*n**5 - 13*n**3 + 153*n.
-3*n*(n + 1)**3*(n + 2)
Let m(l) be the second derivative of l**9/75600 + l**4/12 - 2*l. Let i(k) be the third derivative of m(k). Solve i(y) = 0.
0
Let y be 8531/(-10485) - 10/(-45). Let t = 2/233 - y. Factor -6/5*r + 0 + t*r**2.
3*r*(r - 2)/5
Let x(b) = b**2 + b - 1. Let c(g) = -g**3 - 3*g**2 + g + 7. Let k(f) = -c(f) - 4*x(f). Suppose k(u) = 0. Calculate u.
-1, 3
Let b(q) be the first derivative of -3 + 0*q**3 + 0*q + 1/10*q**4 - 1/5*q**2. Find y such that b(y) = 0.
-1, 0, 1
Let p(l) be the first derivative of 2*l**3/3 + 2*l**2 + 11. Factor p(d).
2*d*(d + 2)
Let p(z) = -z + 8. Suppose 0 = 2*j - 9 - 1. Let y be p(j). Solve -1/2*t**y + 1/2 - 3/2*t + 3/2*t**2 = 0.
1
Let t be (-2)/8 + 920/1312. Let q = t - -2/41. Find c such that 0*c + 0 - c**2 + q*c**4 - 1/2*c**3 = 0.
-1, 0, 2
Let t(m) be the first derivative of m**4 - 2*m**2 + 8. Factor t(l).
4*l*(l - 1)*(l + 1)
Let n be ((-104)/(-90))/4 + (-6)/(-10). Factor 2/9*y**4 - n*y**3 + 2/9 - 8/9*y + 4/3*y**2.
2*(y - 1)**4/9
Suppose 5 = -5*j + 5*c, j - 2*c + 5 = c. Let h(r) be the first derivative of 2/5*r**5 + 1/3*r**4 - 2/3*r**2 - 2/3*r**3 - j + 0*r. Solve h(q) = 0 for q.
-1, -2/3, 0, 1
Let o = 3 + 0. Determine s so that 0*s**4 - 5*s**2 + 3*s**o + 1 + s - 4*s - s**4 + 5*s**4 = 0.
-1, 1/4, 1
Suppose 0 = -3*q - 0 + 6. Suppose 8 = q*f + 4. Determine b so that -b + b - b**f = 0.
0
Let y(w) be the second derivative of -w**4/18 + 7*w**3/45 - 2*w**2/15 + 6*w. Let y(o) = 0. Calculate o.
2/5, 1
Factor 15*c - 9*c**3 + 3 - 2 + 5 - 12*c**2.
-3*(c - 1)*(c + 2)*(3*c + 1)
Let l(f) be the third derivative of 5*f**8/336 + f**7/42 - f**6/24 - f**5/12 - 8*f**2. Find c such that l(c) = 0.
-1, 0, 1
Let y(d) be the first derivative of -d**4/3 + 28*d**3/9 - 22*d**2/3 + 20*d/3 - 16. Solve y(g) = 0 for g.
1, 5
Determine k so that -344*k + 40*k**4 + 14*k**3 + 256 + 24*k - 80*k**2 + 49*k**3 + 4*k**5 + 37*k**3 = 0.
-4, 1
Let m(q) be the third derivative of -q**8/1848 + 2*q**7/1155 - q**5/165 + q**4/132 + q**2. Find z, given that m(z) = 0.
-1, 0, 1
Let t(g) be the third derivative of -g**9/332640 + g**8/110880 + g**5/30 + 6*g**2. Let h(z) be the third derivative of t(z). Factor h(b).
-2*b**2*(b - 1)/11
Let u = -274 + 534. Let t be 143/u + (-2)/(-10). Solve 0*g - t*g**2 + 3/4 = 0.
-1, 1
Let i(u) be the second derivative of -u**7/189 - u**6/135 + u**5/18 + u**4/54 - 8*u**3/27 + 4*u**2/9 - 51*u. Factor i(h).
-2*(h - 1)**3*(h + 2)**2/9
Let t(s) = 3*s**2 - 6*s - 3. Let h(o) be the second derivative of -3*o**4/4 + 3*o**3 + 4*o**2 - 3*o. Let z(r) = -6*h(r) - 17*t(r). Determine b so that z(b) = 0.
1
Let b(a) be the second derivative of -a**10/90720 + a**9/45360 + a**8/20160 - a**7/7560 + a**4/4 + 2*a. Let w(r) be the third derivative of b(r). Factor w(k).
-k**2*(k - 1)**2*(k + 1)/3
Let q(y) be the third derivative of -y**9/211680 + y**8/70560 + y**5/30 + 3*y**2. Let d(v) be the third derivative of q(v). Factor d(g).
-2*g**2*(g - 1)/7
Suppose 0 - 6/19*g + 2/19*g**2 = 0. Calculate g.
0, 3
Suppose -900 = -3*a - w, 1200 = 5*a - a + 4*w. Let v be 110/a - (-4)/30. Factor -1/2*j**2 - v + j.
-(j - 1)**2/2
Let j = -4 + 7. Determine z so that -1 - j*z**2 - 4*z**3 + 1 - 2*z**3 - 3*z**4 = 0.
-1, 0
Suppose -3*n - u + 8 = 0, 2*n + u - 14 = -3*n. Let 2*k**2 - 4*k**2 + 0*k**2 - k**4 + 3*k**n = 0. What is k?
0, 1, 2
Suppose 1 - 10 = -3*p. Suppose 4*u - 3*o - 22 = 0, 3*o + 23 = 5*u - p. Find n, given that u*n**5 - 2*n**5 + 4*n**2 + 4*n**3 - 6*n**4 - 1 + 3 - 6*n = 0.
-1, 1
Let v be 210/24 + 1/4. Suppose -v - 11 = 5*h, 0 = -3*k + 2*h + 14. Let -b**2 + b**3 - 6*b**4 - b**5 + 7*b**4 - k*b**3 + 2*b**3 = 0. Calculate b.
-1, 0, 1
Let d = -53 + 161/3. Suppose 0 - d*g - 1/3*g**2 = 0. Calculate g.
-2, 0
Let m(l) be the first derivative of -l**3/2 - 15*l**2/2 - 75*l/2 - 18. Let m(r) = 0. Calculate r.
-5
Let h(o) be the first derivative of -125*o**4/22 + 150*o**3/11 - 135*o**2/11 + 54*o/11 - 7. Factor h(l).
-2*(5*l - 3)**3/11
Let c(m) be the first derivative of -2*m**3/9 + 4*m**2 - 24*m - 17. Solve c(l) = 0 for l.
6
Let o be ((-36)/30)/(4/(-10)). Determine y, given that -15*y**4 - 33*y**3 - o*y**5 + 31 + 3*y**3 - 34 - 30*y**2 - 15*y = 0.
-1
Let x(w) be the first derivative of 128*w**5/55 + 8*w**4/11 - 8*w**3/33 - w**2/11 + 29. Factor x(j).
2*j*(4*j - 1)*(4*j + 1)**2/11
Let u be ((-2)/1)/1 - (-55)/15. Let u*a**2 + 4/3 - 1/3*a**3 - 8/3*a = 0. Calculate a.
1, 2
Let c be (2 - (7 - 2)) + 5. Determine f, given that 3 - 3 - c*f - 4*f**2 = 0.
-1/2, 0
Factor -3*a**2 + 3*a**5 - 33 + 3*a**4 - 3*a**3 + 33.
3*a**2*(a - 1)*(a + 1)**2
Let x(f) be the second derivative of 0 + 0*f**2 