 103)**2
Let w(s) be the second derivative of -s**4/48 + s**3/2 - 5*s**2/2 + 199*s. Factor w(b).
-(b - 10)*(b - 2)/4
Let v(l) be the second derivative of 0*l**6 + 0*l**4 + 1/10*l**5 + 0*l**3 + 0*l**2 - 1/21*l**7 - 4*l + 0. Factor v(f).
-2*f**3*(f - 1)*(f + 1)
Let k(j) be the second derivative of -3*j**5/20 - 43*j**4/4 - 80*j**3 - 234*j**2 + 7*j + 11. Suppose k(o) = 0. Calculate o.
-39, -2
Suppose 1449 + 5*x**2 - 723 + 9*x**3 - 726 = 0. Calculate x.
-5/9, 0
Let v(w) be the first derivative of w**3/4 + 33*w**2/8 - 261. Factor v(j).
3*j*(j + 11)/4
Suppose 57*t - 36 = 39*t. Factor 0 - 1/2*f**3 - 2*f - 2*f**t.
-f*(f + 2)**2/2
Let m(n) be the third derivative of -5/36*n**4 + 0*n - 5*n**2 + 2/45*n**5 - 1/180*n**6 + 2/9*n**3 + 0. Factor m(q).
-2*(q - 2)*(q - 1)**2/3
Let d(j) be the third derivative of j**9/60480 - j**8/20160 + j**5/10 + 20*j**2. Let b(t) be the third derivative of d(t). Factor b(h).
h**2*(h - 1)
Let u(k) be the second derivative of k**5/70 - k**4/42 - k**3/21 + k**2/7 + 86*k. Factor u(s).
2*(s - 1)**2*(s + 1)/7
Let t = 9 - 20. Let q = t + 14. Factor 3*b**2 + 3*b**4 + 9*b**q - 3*b**4 + 9*b**4 + 3*b**5.
3*b**2*(b + 1)**3
Let u(n) be the first derivative of n**6/6 + n**5/5 - 9*n**4/2 - 50*n**3/3 - 47*n**2/2 - 15*n + 85. What is h in u(h) = 0?
-3, -1, 5
Let h(w) be the second derivative of 3/2*w**2 + 0 - 1/10*w**5 - 1/3*w**4 + 1/3*w**3 + 22*w + 1/30*w**6. Factor h(f).
(f - 3)*(f - 1)*(f + 1)**2
Let r(l) be the first derivative of l**6/39 + 12*l**5/65 - 12*l**4/13 + 4*l**3/3 - 9*l**2/13 - 280. Find b such that r(b) = 0.
-9, 0, 1
Let a(h) be the third derivative of 0*h**3 + 1/360*h**8 + 0*h**5 + 0*h + 0*h**4 - 1/450*h**6 - 1/315*h**7 + 0 + 10*h**2. Suppose a(q) = 0. Calculate q.
-2/7, 0, 1
Let g(w) be the second derivative of 0 - 75/14*w**2 - 5/7*w**3 + 7*w - 1/28*w**4. Determine i so that g(i) = 0.
-5
Let d = -28464 + 85393/3. Factor -1/2*u**2 + 0 - d*u - 1/6*u**3.
-u*(u + 1)*(u + 2)/6
Let v be (-13428)/746 + 112/6. Determine y, given that v*y**3 - 8/3 - 8/3*y + 2/3*y**2 = 0.
-2, -1, 2
Let b(s) = 2*s - 37. Let g be (15*28/147)/((-2)/(-14)). Let z be b(g). Factor 4/3 + 7*v**2 - 16/3*v - z*v**3.
-(v - 1)*(3*v - 2)**2/3
Let q(b) be the third derivative of -24*b**2 - 4/3*b**3 + 0 + 0*b - 1/30*b**5 - 1/3*b**4. What is h in q(h) = 0?
-2
Let k(q) be the third derivative of -q**8/1344 + 3*q**7/280 + q**6/80 - 19*q**5/24 + 25*q**4/32 + 375*q**3/8 + 4*q**2 + 28*q. Solve k(d) = 0 for d.
-3, 5
Let f be 19/2*(-9 + 14 + 11). Let p be (-1)/(-7) + f/798. Suppose 0 + 0*q + p*q**3 + 1/3*q**2 = 0. What is q?
-1, 0
Let p(n) be the second derivative of 1/11*n**2 + 1/165*n**6 + 0*n**3 + 0 + 0*n**5 - 1/33*n**4 + 4*n. Determine b so that p(b) = 0.
-1, 1
Factor -1/4*j**2 + 0 - 27/4*j.
-j*(j + 27)/4
Suppose -q - 3*n - 15 = -8*n, -10*q + 12 = 4*n. Factor q - 21/8*r**2 - 3/4*r.
-3*r*(7*r + 2)/8
Let z(r) be the second derivative of r**8/4200 - r**7/525 + r**6/180 - r**5/150 - 4*r**3/3 - 13*r. Let u(v) be the second derivative of z(v). Factor u(d).
2*d*(d - 2)*(d - 1)**2/5
Let p(x) be the first derivative of -2*x**3/39 + 146*x**2/13 - 290*x/13 + 738. Factor p(w).
-2*(w - 145)*(w - 1)/13
Let d be 9 - 0 - (-5 - -17)/4. Suppose u**5 + 21*u - 3*u**5 - 6*u**4 + d*u**2 - 17*u - 2*u**3 = 0. Calculate u.
-2, -1, 0, 1
Let z = 1247 + -2493/2. Let u(b) be the first derivative of -z*b - 1/12*b**3 + 7 - 3/8*b**2. Factor u(v).
-(v + 1)*(v + 2)/4
Let g(q) be the third derivative of q**5/6 + 7*q**4/6 - q**3 + 121*q**2. Find d such that g(d) = 0.
-3, 1/5
Let b(m) = -m**4 - m**3 - m**2 - 1. Let l(t) = -3*t**4 + 8*t**3 + 24*t**2 + 27*t + 4. Let p(g) = -5*b(g) + l(g). Factor p(d).
(d + 1)**2*(d + 3)*(2*d + 3)
Let q = -26/3 + 55/6. Factor -q*l**3 - 1/2*l - l**2 + 0.
-l*(l + 1)**2/2
Let v(n) = -4*n + 55. Let j be v(13). Solve 7/4*m**2 + 11/4*m**j - 9/4*m**4 + 1/2 - 11/4*m = 0 for m.
-1, 2/9, 1
Let w(p) = -13*p - 117. Let h be w(-5). Let a be (-14)/10*h/91. Solve 2/5*y**2 - a - 2/5*y = 0.
-1, 2
Factor -2/15*q**3 + 18/5*q + 0*q**2 + 36/5.
-2*(q - 6)*(q + 3)**2/15
Let z(w) be the third derivative of 1/945*w**7 - 1/27*w**4 + 12*w**2 - 1/108*w**6 + 0*w**3 + 0*w + 4/135*w**5 + 0. Let z(h) = 0. Calculate h.
0, 1, 2
Let j(s) be the second derivative of -s**4/72 - 5*s**3/36 - 21*s. Let j(b) = 0. Calculate b.
-5, 0
Let n(o) be the first derivative of o**5/120 - o**4/24 + o**3/18 + 8*o + 9. Let t(i) be the first derivative of n(i). Factor t(d).
d*(d - 2)*(d - 1)/6
Let y be (0 - -1)/(6/38) - -1. Factor 0 - y*s**2 - 4/3*s.
-2*s*(11*s + 2)/3
Suppose -4*w = 0, 2*t = w - 5*w + 8. Suppose 0 = -x - 2*u + 12, x = -t*x - 5*u + 35. Suppose -a**2 + 2*a + 2*a**2 - x*a = 0. Calculate a.
0
Let h(d) be the second derivative of d**7/6300 - d**6/600 + d**5/150 - 11*d**4/12 + 11*d. Let v(n) be the third derivative of h(n). Let v(i) = 0. Calculate i.
1, 2
Solve -3*a**4 + 48/5*a + 0 + 153/5*a**3 - 54*a**2 = 0.
0, 1/5, 2, 8
Let k(p) be the second derivative of p**4/144 + 5*p**3/36 + 2*p**2/3 - 17*p - 1. Determine y so that k(y) = 0.
-8, -2
Let b(i) be the first derivative of 35*i**2 + 5*i**4 + 14 - 25*i + 115/3*i**3. Factor b(g).
5*(g + 1)*(g + 5)*(4*g - 1)
Let z(k) = -k**2 + 4*k + 1. Let w be z(3). Factor 2*q**4 - 2*q**4 + q + 5*q**5 - 10*q**3 + w*q.
5*q*(q - 1)**2*(q + 1)**2
Suppose -4*k = 3*s + 2, 2*k + s = 11 - 13. Let d be 15/6 + 1/k. Let 4/9*p**4 + 0*p**3 + 0*p - 10/9*p**5 + 0*p**d + 0 = 0. Calculate p.
0, 2/5
Suppose 133*i - 315 = 56 + 294. Find l, given that 1/3*l**2 - 1/2*l**4 + 1/6 - 1/3*l**3 - 1/6*l**i + 1/2*l = 0.
-1, 1
Factor 21*q - 2117*q**2 - q + 2081*q**2.
-4*q*(9*q - 5)
Let x(p) = p**3 - p**2 - p + 7. Let u(q) = -2*q**3 + 2*q - 9. Let t(m) = -2*u(m) - 3*x(m). Solve t(h) = 0.
-3, -1, 1
Let r(u) = 667*u + 6670. Let m be r(-10). Factor 3/5*n**2 + 9/5*n**4 + m + 3*n**3 - 27/5*n**5 + 0*n.
-3*n**2*(n - 1)*(3*n + 1)**2/5
Let i = 82 - 117. Let t be (20/(-35))/(10/i). Solve 0 - 2*d**t - 2*d**4 - 1/2*d**5 - 1/2*d - 3*d**3 = 0.
-1, 0
Let u(b) be the third derivative of -b**6/120 - b**5/15 - b**4/12 - 5*b**3/6 - b**2. Let h be u(-4). Find v such that 14*v**2 - 6 + 18*v - 2*v**2 + h*v = 0.
-2, 1/4
Suppose 1807*r = 1779*r. Factor r + 0*u + 1/2*u**5 + 1/2*u**3 - u**4 + 0*u**2.
u**3*(u - 1)**2/2
Suppose 0 - 2/7*g**4 - 8/7*g - 4/7*g**3 + 2*g**2 = 0. What is g?
-4, 0, 1
Factor -14*q**5 + 0*q**4 - 3*q**4 - 7*q**2 - 3*q**2 - 16*q**3 + 15*q**5 - 2*q**2.
q**2*(q - 6)*(q + 1)*(q + 2)
Let -1/3*y**2 - 280/3*y - 19600/3 = 0. Calculate y.
-140
Let c = 4849/287 - 681/41. Solve 2/7*h**2 - 2/7 - c*h**3 + 2/7*h = 0.
-1, 1
Let j(p) be the first derivative of 2*p - 12 + p**2 + 4/5*p**5 - 1/2*p**4 - 2*p**3. Factor j(a).
2*(a - 1)**2*(a + 1)*(2*a + 1)
Let t = 297 + -297. Let g(d) be the first derivative of -13/2*d**4 - 1/3*d**6 - 12/5*d**5 + t*d - 4*d**2 + 5 - 8*d**3. Suppose g(r) = 0. What is r?
-2, -1, 0
Suppose 0 = m + 4*b + 12, -4*m + 202*b = 201*b - 20. Factor 8/3*i + 4/3*i**m - 4*i**2 + 0 + 0*i**3.
4*i*(i - 1)**2*(i + 2)/3
Let h(c) = 8*c**2 - 112*c - 608. Let v(b) = b**2 - 16*b - 87. Let t(o) = -3*h(o) + 20*v(o). Let t(i) = 0. Calculate i.
-3, 7
Suppose 9*w - 10*w - 7 = 0. Let n be (-260)/(-210) + 1/(w/(-3)). Let 1/3*s**2 - 1/3 + 5/3*s**3 - n*s = 0. Calculate s.
-1, -1/5, 1
Let a(w) = 7*w**3 + 121*w**2 - 38*w - 4. Let b(x) = 6*x**3 + 119*x**2 - 38*x - 3. Let t(n) = -3*a(n) + 4*b(n). Determine c so that t(c) = 0.
-38, 0, 1/3
Let n(r) be the first derivative of -r**3/6 - r**2/4 + r - 202. Factor n(x).
-(x - 1)*(x + 2)/2
Let h = -17 + 23. Factor -4*v - 2 + 0 + 4*v**2 + 0 - h.
4*(v - 2)*(v + 1)
What is m in 0*m + 3/8*m**4 - 3/8*m**3 - 3/4*m**2 + 0 = 0?
-1, 0, 2
Let h(b) = -b**3 + 7*b - 6. Let u be h(1). Let c(k) be the third derivative of u*k**3 + 0 + k**2 + 0*k - 1/180*k**5 - 1/24*k**4. Find n such that c(n) = 0.
-3, 0
Factor 3 + 8*b**3 + 1 + 5*b**4 + 4*b**5 + 8*b**2 - 17*b**4 + 51*b - 63*b.
4*(b - 1)**4*(b + 1)
Let o be (-1)/(-6) - (-11)/6. Factor 50*l + 23*l**2 + 5 + 94*l**o + 8*l**2.
5*(5*l + 1)**2
Suppose 3*m = -79 + 85. Let 24*a**4 - 2*a - 12*a**5 - 4*a + 82*a**m - 97*a**2 + 9*a**3 = 0. What is a?
-1/2, 0, 1, 2
Suppose 190*x - 20 = 180*x. Factor 12/7*i**x + 2/7 + 8/7*i + 8/7*i**3 + 2/7*i**4.
2*(i + 1)**4/7
Let t(x) = x**3 - 9*x**2 - 100. Let b be t(10). Factor b*d + 0 + 1/4*d**2.
d**2/4
Let k(p) be the first derivative of 34*p