 9 = -5*f + 3*t, 0 = -f - 5*t + 8*t - 9. Let s(j) be the second derivative of 8/7*j**2 + 7*j**4 + 49/10*j**5 + 4*j**3 + 2*j + f. Factor s(k).
2*(7*k + 2)**3/7
Let s(y) be the second derivative of -y**4/28 - 6*y**3/7 + 6*y**2 + 2*y - 1. Let s(h) = 0. Calculate h.
-14, 2
Factor 2/15*m**3 - 16/15 + 4/15*m**2 - 8/15*m.
2*(m - 2)*(m + 2)**2/15
Suppose -3*o - 6*j + 11*j = -55, -o - 3*j + 9 = 0. Factor 47*v**2 - 16*v**4 + 2*v**3 + o + 57*v + 3 - 10*v**3.
-(v - 2)*(v + 1)*(4*v + 3)**2
Let k(z) be the second derivative of -1/75*z**5 + 0*z**3 + 1/225*z**6 + 0*z**4 + 11*z + 0 + 0*z**2. Factor k(b).
2*b**3*(b - 2)/15
Let f(o) be the third derivative of o**5/4 + 7*o**4/4 - 3*o**3/2 - 106*o**2. Factor f(i).
3*(i + 3)*(5*i - 1)
Let k(b) be the third derivative of 0 + 0*b**3 + 41*b**2 - 1/8*b**5 + 3/80*b**6 + 0*b + 1/8*b**4. Factor k(n).
3*n*(n - 1)*(3*n - 2)/2
Let w = -51217/4 - -12808. Factor -3*z**2 - w*z + 3/4*z**3 + 0.
3*z*(z - 5)*(z + 1)/4
Let a(l) = 8*l**4 - 11*l**3 + 20*l**2 - 5*l. Let o(h) = -3*h**4 + 4*h**3 - 7*h**2 + 2*h. Suppose 21 = 4*b + 5. Let k(f) = b*a(f) + 11*o(f). Factor k(m).
-m*(m - 2)*(m + 1)**2
Let v be (0 - -3) + 15/(-5). Factor -8*j + v*j + 5*j + 3*j**3.
3*j*(j - 1)*(j + 1)
Suppose -2*z = -3*s - 0*s + 6, 3*s + 12 = -4*z. Suppose -2*c + 5*b + 16 = 0, -2 = -3*c - 3*b + 1. What is i in -4*i + c*i + 6*i + s - 7*i**2 + 2 = 0?
-2/7, 1
Factor -37/3*z**3 + 4*z**2 + z**4 + 0*z + 0.
z**2*(z - 12)*(3*z - 1)/3
Let l be ((-2944)/(-80))/23 - (-2)/5. Let p(h) be the third derivative of 0*h + 6*h**l + 0 + 1/60*h**5 + 7/96*h**4 - 1/12*h**3. Solve p(d) = 0 for d.
-2, 1/4
Let g(q) = -4*q - 63. Let k be g(-15). Let w be 286/165 - k*(-2)/15. Factor -1/3*a**2 - 4/3*a - w.
-(a + 2)**2/3
Let q be (6 - -8)*(0 - 8/(-28)). Let j(p) be the first derivative of 189/2*p**q - 44/3*p**2 + 1 + 16/3*p - 20*p**3. Factor j(g).
2*(7*g + 2)*(9*g - 2)**2/3
Suppose 42*p + 5*f - 15 = 41*p, 5*f - 15 = 0. Find q such that 0 + 2/5*q**2 + p*q = 0.
0
Let v(g) be the first derivative of -g**6/33 + 2*g**5/55 + 3*g**4/22 - 10*g**3/33 + 2*g**2/11 + 23. Factor v(r).
-2*r*(r - 1)**3*(r + 2)/11
Let s(j) be the second derivative of 0 - 3/2*j**3 + 0*j**2 - 1/5*j**6 + 1/2*j**4 + 29*j - 1/14*j**7 + 3/5*j**5. Suppose s(f) = 0. Calculate f.
-3, -1, 0, 1
Suppose -6*j + 9*j = 0. Let d(h) be the second derivative of j - 2*h + 1/80*h**5 - 1/6*h**3 - 1/24*h**4 + h**2. Factor d(x).
(x - 2)**2*(x + 2)/4
Suppose 127*a + 15*a**2 - a**2 + 224 + 6*a**2 + 169*a = 0. Calculate a.
-14, -4/5
Let v(h) = -11*h**2 - 2*h - 1. Let d be v(5). Let s be (-6)/(-36) + d/(-12). Factor -29 + s - 5*i**2 + 0*i**2 + 10*i.
-5*(i - 1)**2
Suppose -2*p + 10 = 4*j, -p - p + 4*j = -2. Let f(u) be the second derivative of 1/28*u**4 - 7*u + 0 + 6/7*u**2 + 2/7*u**p. Solve f(y) = 0.
-2
Let l = -829 - -2488/3. Solve -2/3 - p**2 + 1/3*p**3 - 5/3*p + l*p**4 = 0.
-1, 2
Let v be ((-2)/6)/((-5)/(-45)) - -27. Let g be (3 + v/(-9))/(1/1). Factor 4/3*p - g*p**2 - 1.
-(p - 3)*(p - 1)/3
Let s(g) = -7*g**2 - 33*g - 43. Let t(n) = 4*n**2 + 17*n + 21. Let i(u) = -6*s(u) - 10*t(u). Factor i(f).
2*(f + 2)*(f + 12)
Let i(j) be the first derivative of -2 - 6*j + 0*j**2 + 1/18*j**4 - 2/9*j**3. Let a(d) be the first derivative of i(d). Factor a(z).
2*z*(z - 2)/3
Let i be 18/(-63) + 8/28. What is c in 1/3*c**2 - 4/3*c + i = 0?
0, 4
Let a be (-990)/(-342) + (-6)/(-57)*1. Let 8/7*m**a - 22/7*m**2 - 6/7 + 20/7*m = 0. What is m?
3/4, 1
Let c(h) = -5*h**4 + 15*h**2 - h. Let y(x) = -x**4 + 3*x**2. Let m(o) = -2*c(o) + 9*y(o). Factor m(s).
s*(s - 1)**2*(s + 2)
Let s(w) be the third derivative of w**7/280 + w**6/60 + 3*w**3/2 - 4*w**2. Let n(a) be the first derivative of s(a). Let n(b) = 0. Calculate b.
-2, 0
Suppose -5*p = 4*i - 10*p - 2, -3*i = p - 11. Let w(u) be the first derivative of 6 + 2/3*u**i - 6*u**2 + 18*u. Factor w(d).
2*(d - 3)**2
Let y be (-392)/6*(-15)/50. Let b be 1/(4/(-32)*10)*-2. Factor -56/5*k - y*k**2 - b.
-2*(7*k + 2)**2/5
Let c(p) be the third derivative of -p**8/3024 + 2*p**7/945 - 4*p**5/135 + 2*p**4/27 - 140*p**2. Suppose c(y) = 0. Calculate y.
-2, 0, 2
Let b = -484/3 + 163. Factor 5/3*f**2 - 5/3 + 5/3*f**3 - b*f.
5*(f - 1)*(f + 1)**2/3
Let x be (-23)/3 + 12/18. Let u = x + 9. Factor -i**u - 3*i**2 + 12*i**2 + 4*i - 4*i**2.
4*i*(i + 1)
Suppose 18*c - 4*c + 23*c = 0. Let u(a) be the second derivative of c*a**2 + 0 - 1/24*a**4 + 1/80*a**5 + 8*a + 1/24*a**3. Determine z so that u(z) = 0.
0, 1
Let d(b) be the third derivative of 3/40*b**6 + 0 + 0*b - 1/5*b**5 - 1/3*b**3 - 11/24*b**4 - 27*b**2. Find a such that d(a) = 0.
-1/3, 2
Let y = 34 - 29. Let r(a) = -7*a**3 - 5*a**2 - a + 13. Let x(l) = -10*l**3 - 8*l**2 - 2*l + 20. Let q(f) = y*x(f) - 7*r(f). Determine g so that q(g) = 0.
-3, 1
Let o be (-16)/54*12/(-8). Suppose -96*h - 4 = -91*h + z, -h + 3*z + 12 = 0. Factor -2/9*b**4 - o*b + 2/9*b**2 + 4/9*b**3 + h.
-2*b*(b - 2)*(b - 1)*(b + 1)/9
Suppose 7*k = 289 + 19. Suppose k = 4*d - 0*d. Find u such that 20*u + 2 - 4 - 5*u**2 - 9*u**3 + 7 - d*u**3 = 0.
-1, -1/4, 1
Let k(d) be the third derivative of 1/390*d**5 - d**2 - 1/52*d**4 - 4/39*d**3 + 0 + 0*d. Determine w so that k(w) = 0.
-1, 4
Let b be (-180)/18 + 202/20. Let u(x) be the second derivative of 0 + 3*x + b*x**2 - 1/100*x**5 + 1/20*x**4 - 1/10*x**3. Find z such that u(z) = 0.
1
Let h(s) = -3*s**2 + 742*s - 17677. Let l(k) = k**2 - 370*k + 8839. Let w(q) = -3*h(q) - 5*l(q). Solve w(r) = 0 for r.
47
Let w(i) be the first derivative of -5*i**4/4 - 40*i**3/3 - 30*i**2 + 73. Suppose w(o) = 0. What is o?
-6, -2, 0
Let t be (-1)/(-3) - 2/6. Suppose 3*d + 8 = 2*r - t*r, 2*d - 12 = -3*r. Factor -3*g**3 - g**2 + r*g**3 + 0*g**2.
g**2*(g - 1)
Let r(d) = 8*d**4 - 252*d**3 + 255*d**2. Let c(k) = -3*k**4 + 84*k**3 - 85*k**2. Let n(l) = -11*c(l) - 4*r(l). Factor n(z).
z**2*(z - 1)*(z + 85)
Suppose 6*l - 686 + 218 = 0. Let o = l - 76. Let -2*t**3 - 6*t**2 - o + 15/2*t = 0. What is t?
-4, 1/2
Find l, given that 20*l + 6*l - l + 20*l**2 - 30 = 0.
-2, 3/4
Let r(p) = p**3 - 15*p**2 - 38*p + 2. Let i(v) = -3*v**3 + 30*v**2 + 77*v - 5. Let f(x) = 2*i(x) + 5*r(x). Determine g, given that f(g) = 0.
-12, -3, 0
Let d = -48 - -50. Factor -4*g**d - 41*g + 43*g + 3*g**2 - 1.
-(g - 1)**2
Let k(p) be the first derivative of 5 - 4*p**3 - 3/2*p**4 + 3*p**2 + 9*p + 3/5*p**5. Factor k(l).
3*(l - 3)*(l - 1)*(l + 1)**2
Factor 12/7*d + 2/7*d**2 + 10/7.
2*(d + 1)*(d + 5)/7
Let w = 5618 - 33707/6. Factor -t + 7/6*t**2 + 0 - w*t**4 + 0*t**3.
-t*(t - 2)*(t - 1)*(t + 3)/6
Let f(i) be the third derivative of i**6/60 - i**5/3 + 7*i**4/3 - 8*i**3 - 3*i**2 - 27*i. Determine h, given that f(h) = 0.
2, 6
Find d, given that 17/2*d + 0 - 15/4*d**2 - 1/4*d**3 = 0.
-17, 0, 2
Let n be (-140)/(-34) - (4/(-1) - -8). Let z(t) be the first derivative of 6/85*t**5 - 2/17*t**2 + 6 - 2/51*t**3 + 0*t + n*t**4. Let z(s) = 0. What is s?
-1, 0, 2/3
Let g(d) = -157*d**2 - 127*d - 17. Suppose -16 = 5*c + 4. Let a(k) = -79*k**2 - 14*k - 2 - 6 - 50*k. Let m(s) = c*g(s) + 7*a(s). Factor m(h).
3*(5*h + 2)**2
Let z = -17054 + 17057. Suppose -3/2*o**2 + 3*o + 4 - 1/2*o**z = 0. Calculate o.
-4, -1, 2
Let g = -639 - -641. Factor 0*a + 0 - 1/6*a**3 + 1/6*a**g.
-a**2*(a - 1)/6
Let p be 3 - 0 - (-12 - -25 - 14). Let x(y) be the third derivative of 1/57*y**3 + 0*y + 0*y**p - 4*y**2 - 1/570*y**5 + 0. Factor x(q).
-2*(q - 1)*(q + 1)/19
Let j(i) be the third derivative of i**5/20 + 5*i**4/8 + 2*i**3 - 26*i**2. Factor j(u).
3*(u + 1)*(u + 4)
Suppose -3*w - v + 6 = 0, -w = 3*v - 7 + 5. Suppose 18*r - 4 - 54*r**3 - 96*r**w + 96*r**2 = 0. What is r?
-2/3, 1/3
Let g(q) be the second derivative of -q**4/8 + q**3 - 9*q**2/4 + 266*q. Factor g(u).
-3*(u - 3)*(u - 1)/2
Let s(i) = i**2 + 15*i + 16. Let r = 20 + -34. Let t be s(r). Determine b so that -2/7*b - 8/7*b**t + 0 - 6/7*b**3 = 0.
-1, -1/3, 0
Let n be ((-12)/(-18))/(344/822). Let i = n + -4/43. Determine f, given that 9/2*f**2 - 3 - i*f = 0.
-2/3, 1
Let l(f) be the third derivative of 2*f**7/315 + f**6/90 - f**5/15 - f**4/18 + 4*f**3/9 + 77*f**2. Let l(q) = 0. What is q?
-2, -1, 1
Let u(n) be the third derivative of -n**7/1260 - n**6/180 - n**5/180 + n**4/36 + n**3/12 - 15*n**2 + 7*n. Solve u(s) = 0.
-3, -1, 1
Let p = -2329 + 2332. Let d(g) be the first derivative of -1/12*g**4 + 6*g + 8/9*g**p + 12 - 7/2*g**2. Fi