 - 1/735*s**7 + 0*s**6 + 7*s**h. Factor q(c).
-2*c**4*(c + 1)/7
Let v = -12761/2 - -6381. Factor 0*s - 1/2*s**5 + v*s**3 + 0 + 0*s**2 + 0*s**4.
-s**3*(s - 1)*(s + 1)/2
Let k = -6/5 + 96/55. Let z = -7/202 + 481/2222. Determine w so that -z + 2/11*w**3 - k*w**2 + 6/11*w = 0.
1
Let z(l) be the second derivative of -l**4/4 + 121*l**3/2 + 183*l**2 - 487*l. Suppose z(b) = 0. Calculate b.
-1, 122
Let g(o) be the first derivative of o**4/3 - 28*o**3/9 - 16*o**2/3 + 104. Factor g(q).
4*q*(q - 8)*(q + 1)/3
Let x be (-26)/195 - ((-84)/(-45) - 2). Let f be 0 - (-4)/(-1 - -3). Determine o, given that x*o - 3/4*o**5 - 3/4*o**4 + 3/4*o**f + 0 + 3/4*o**3 = 0.
-1, 0, 1
Let x(i) = 405*i**2 - 85*i + 10. Suppose 3*u - 50 = 13*u. Let t(f) = 405*f**2 - 84*f + 11. Let r(a) = u*t(a) + 6*x(a). Factor r(z).
5*(9*z - 1)**2
Let a(y) be the first derivative of y**6/300 - y**4/60 + y**2 + 4. Let g(k) be the second derivative of a(k). Determine r, given that g(r) = 0.
-1, 0, 1
Let j(b) be the third derivative of -b**6/360 + b**5/30 - b**4/6 + 4*b**3/9 + 63*b**2. Factor j(i).
-(i - 2)**3/3
Let c(a) = 16*a**3 - 10*a**2 - 6*a. Let y(x) = -17*x**3 + 11*x**2 + 6*x. Suppose -h - o - 16 = -6, -3*o + 5 = -4*h. Let g(m) = h*y(m) - 4*c(m). Factor g(t).
3*t*(t - 1)*(7*t + 2)
Let g(t) be the second derivative of -t**5/20 + 25*t**4/6 - 286*t**3/3 - 676*t**2 + 2*t - 65. Find o, given that g(o) = 0.
-2, 26
Let l(u) be the third derivative of 1/105*u**5 + 0 - 1/1260*u**6 - 25*u**2 + 2/21*u**3 + 0*u - 11/252*u**4. Factor l(o).
-2*(o - 3)*(o - 2)*(o - 1)/21
Let w(z) be the first derivative of -7*z**3/9 + 23*z**2/6 - 2*z + 56. Find k such that w(k) = 0.
2/7, 3
Factor -7/5*i**2 + 4/5*i + 1/5*i**4 + 0 + 2/5*i**3.
i*(i - 1)**2*(i + 4)/5
Let c(d) be the third derivative of -d**7/1050 - 7*d**6/600 - d**5/50 + 4*d**4/15 + 16*d**3/15 - 68*d**2. Factor c(o).
-(o - 2)*(o + 1)*(o + 4)**2/5
Factor -76/7*l**3 + 16/7 + 4*l**4 + 100/7*l**2 - 64/7*l - 4/7*l**5.
-4*(l - 2)**2*(l - 1)**3/7
Let f(u) = 3*u - 27. Let j be f(10). Factor g**2 + 18*g - 20*g - j*g.
g*(g - 5)
Let n(h) = -8*h**3 + 6*h**2 - 8. Let u(g) = 3*g**3 - 3*g**2 + 4. Let w(v) = -2*n(v) - 5*u(v). Factor w(o).
(o - 1)*(o + 2)**2
Let x(d) = 43*d**3 - d + 2. Let a be x(1). Let k be 11/a + 5/12. Suppose 0 + 16/3*y**2 - k*y**3 - 32/3*y = 0. Calculate y.
0, 4
Let w(t) be the second derivative of -t**5/60 + t**4/12 + 5*t**2 - 12*t. Let s(g) be the first derivative of w(g). Determine u, given that s(u) = 0.
0, 2
Factor -22*g**2 + 0*g + 166*g**2 + 4*g**4 - 48*g**3 + 0*g.
4*g**2*(g - 6)**2
Solve 16*f + 47 - 13*f**2 - 7 + 8*f**2 + 14*f + 10*f**2 = 0.
-4, -2
Let g(x) = -10*x**3 + 27*x**2 + 90*x - 28. Let t(c) = -c**3 + 2. Let f(i) = -g(i) - 2*t(i). Factor f(m).
3*(m - 4)*(m + 2)*(4*m - 1)
Let p(b) be the second derivative of 6*b + 7/24*b**4 + 0 - 1/40*b**5 + 9/4*b**2 - 5/4*b**3. Solve p(o) = 0.
1, 3
Let a(j) be the second derivative of -1/72*j**4 + 0 + 1/18*j**3 - 9*j - 1/12*j**2. Factor a(s).
-(s - 1)**2/6
Factor -1/4*d + 1/2*d**4 + 1/4*d**5 - 1/2*d**2 + 0*d**3 + 0.
d*(d - 1)*(d + 1)**3/4
Let b(d) be the first derivative of 0*d - 1/20*d**5 + 1/16*d**4 + 1/12*d**3 - 1/8*d**2 - 41. Factor b(n).
-n*(n - 1)**2*(n + 1)/4
Let w(i) be the third derivative of i**8/112 - i**7/35 - 3*i**6/40 - 495*i**2. Factor w(q).
3*q**3*(q - 3)*(q + 1)
Let o(a) = -7*a**3 - 24*a**2 - 20*a + 6. Let n(s) = -s**3 + s**2 - s. Let v(x) = -3*n(x) + o(x). Factor v(w).
-(w + 1)*(w + 6)*(4*w - 1)
Let s(r) be the second derivative of -r**6/30 - 8*r**5/5 - 15*r**4/2 - 44*r**3/3 - 29*r**2/2 - r - 218. Factor s(k).
-(k + 1)**3*(k + 29)
Solve 16900/3 - 260/3*i + 1/3*i**2 = 0 for i.
130
Let b = 1055 - 1053. Determine i so that -3/2*i**b - 27/4*i - 3 = 0.
-4, -1/2
Factor 0 + 0*p - 279/2*p**3 - 1/2*p**5 + 51/2*p**4 + 405/2*p**2.
-p**2*(p - 45)*(p - 3)**2/2
Let d(t) be the first derivative of 2/5*t**5 - 1/2*t**4 - 3 - 2/3*t**3 + 0*t + t**2. Factor d(h).
2*h*(h - 1)**2*(h + 1)
Let t(x) be the first derivative of -2*x**5/75 + x**4/15 + 2*x**3/15 + 5. Determine y so that t(y) = 0.
-1, 0, 3
Solve -3*z**3 - 2*z + 4*z**3 + 33*z**2 - 34*z**2 = 0 for z.
-1, 0, 2
Let o(q) = 9*q**2 + 8*q - 7. Let s(r) be the first derivative of -28*r**3/3 - 12*r**2 + 20*r - 13. Let a(n) = 16*o(n) + 5*s(n). Factor a(p).
4*(p - 1)*(p + 3)
Solve -3*s**3 + 5*s**4 - 12*s**3 - 142 + 20*s - 5*s - 137 + 269 + 5*s**2 = 0 for s.
-1, 1, 2
Let n(v) be the first derivative of -7*v**5/10 + 8*v**4/5 - 7*v**3/6 + 3*v**2/10 + 285. Let n(h) = 0. Calculate h.
0, 2/5, 3/7, 1
Factor -32/15*z - 6/5*z**3 + 14/5*z**2 + 8/15.
-2*(z - 1)*(3*z - 2)**2/15
Factor 75 + 98*g**2 + 3*g**3 - 2*g**3 + 202*g - 36 + 63 - 3*g**3.
-2*(g - 51)*(g + 1)**2
Let u = -161666/9 - -17964. Find w, given that -2/9*w**2 + 0 + u*w = 0.
0, 5
Let z(d) be the second derivative of -d**7/441 + d**5/70 + d**4/63 + 40*d - 3. Factor z(i).
-2*i**2*(i - 2)*(i + 1)**2/21
Let z(o) be the third derivative of -o**6/30 - o**5/15 + o**4/6 + 2*o**3/3 + 67*o**2. Factor z(k).
-4*(k - 1)*(k + 1)**2
Solve -3/2*w**5 + w**2 + 1/2*w**3 + 0*w + 0 - 2*w**4 = 0 for w.
-1, 0, 2/3
Factor -49*y**2 - 51*y**2 - y**5 + 15*y**3 + 2 - 2 + 72*y**4 - 66*y**4.
-y**2*(y - 5)**2*(y + 4)
Factor 218*h**4 + 222*h**2 - 109*h**4 + 63 + 201*h - 106*h**4 + 90*h**3 - 3*h**5.
-3*(h - 7)*(h + 1)**3*(h + 3)
Let x(t) = 5*t**3 - 13*t**2 + 3*t + 21. Suppose 0 = 3*i - 23 - 7. Let a(p) = -9*p**3 + 25*p**2 - 7*p - 41. Let g(v) = i*x(v) + 6*a(v). Factor g(d).
-4*(d - 3)**2*(d + 1)
Let r(i) = 5*i**3 + 12*i**2 - 4*i - 16. Let d(l) = 2*l**3 + 4*l**2 - l - 6. Let f(w) = -8*d(w) + 3*r(w). Factor f(c).
-c*(c - 2)**2
Let h(g) = 8*g**4 + 2*g**3 - 5*g**2 - 5. Let y(v) = 3*v**2 + 1 + 4*v**4 - v**3 - 5*v**4 - 2*v**2. Let d(m) = h(m) + 5*y(m). Suppose d(x) = 0. Calculate x.
0, 1
Let -5*x + 1/2*x**4 - 3/2*x**2 + 2*x**3 + 4 = 0. Calculate x.
-4, -2, 1
Let z(d) = -42*d - 103. Let j be z(-6). Let s = j - 145. Let 0*i + 1/6*i**2 + 0*i**3 - 1/6*i**s + 0 = 0. Calculate i.
-1, 0, 1
Let h(x) be the third derivative of -x**5/90 + x**4/3 - 80*x**2 + x. Suppose h(l) = 0. Calculate l.
0, 12
Let y(r) be the second derivative of r**3 + 9/2*r**2 - 11*r + 0 - 1/4*r**4. Let y(q) = 0. What is q?
-1, 3
Suppose 0*l + 2*l = -4. Let i = 4 + l. Find g such that g**i - 2 + 3 - 2 = 0.
-1, 1
Factor -6*s**2 + 3 + 3*s**2 + 4*s**2 + 31 - 19*s.
(s - 17)*(s - 2)
Let j(g) = -13*g**3 - 25 + 7*g**3 + 3 + 3 + 11*g. Let r(y) = 2*y**3 - 4*y + 6. Let s be 4*4/24*3. Let w(v) = s*j(v) + 7*r(v). Factor w(l).
2*(l - 1)**2*(l + 2)
Suppose -g = -5*n + g + 23, 0 = -n - g - 1. Suppose -17*z**2 + 19*z**2 - 4*z - 3*z**4 + 5*z**n - z**3 + z**4 = 0. Calculate z.
-1, 0, 1, 2
Let a(o) be the third derivative of o**6/840 - 33*o**5/140 + 100*o**4/7 + 1250*o**3/21 - 3*o**2 + 40. Factor a(q).
(q - 50)**2*(q + 1)/7
Determine r so that 3*r**2 + 3*r**2 - 6*r**2 + 1922 + 2*r**2 - 124*r = 0.
31
Let a(c) be the third derivative of c**5/15 - 25*c**4/6 - 52*c**3/3 - 154*c**2. Solve a(k) = 0.
-1, 26
Let t(w) = 2*w**4 - 10*w**2 - 22. Let n(c) = 5. Let h(j) = 6*n(j) + t(j). Determine g so that h(g) = 0.
-2, -1, 1, 2
Let o(c) be the second derivative of -1/5*c**5 + 0*c**4 + 0*c**2 + 0 + 0*c**3 + 8/15*c**6 - 9*c. Factor o(z).
4*z**3*(4*z - 1)
Factor 5*j - 3*j**2 - 39*j - 50*j.
-3*j*(j + 28)
Let k = 6934/2885 + -2/577. Factor -k*j**2 - 8/5 - 4*j.
-4*(j + 1)*(3*j + 2)/5
Let -12*f**2 + 40*f**2 - 50*f - 4*f**3 + 54*f - 28 = 0. Calculate f.
-1, 1, 7
Let i(z) be the second derivative of -15*z**5/4 - 45*z**4/4 + 81*z**3/2 - 81*z**2/2 + 7*z. Factor i(v).
-3*(v + 3)*(5*v - 3)**2
Let h = -30088/17 - -1770. Factor 4/17*n**2 - h*n + 2/17*n**5 + 0*n**3 - 4/17*n**4 + 0.
2*n*(n - 1)**3*(n + 1)/17
Factor 1284/5*g + 123/5*g**3 - 666/5*g**2 - 168 - 3/5*g**4.
-3*(g - 35)*(g - 2)**3/5
Let c(v) = 95*v + 4467. Let m be c(-47). Factor -2/5*k**3 + 16/5*k - 2/5*k**m + 24/5.
-2*(k - 3)*(k + 2)**2/5
Let v(d) be the first derivative of -d**6/24 + d**5/20 + 5*d**4/16 - 5*d**3/12 - d**2/2 + d + 142. Suppose v(c) = 0. What is c?
-2, -1, 1, 2
Factor 8/5 + 24/5*y + 6/5*y**2 - 2*y**3.
-2*(y - 2)*(y + 1)*(5*y + 2)/5
Let w(d) be the first derivative of -4*d**3/3 + 30*d**2 - 104*d - 4. Factor w(i).
-4*(i - 13)*(i - 2)
Let n = 470/77 - 64/11. Let k = 1035 + -1033. Find c such that -4/7*c + n + 2/7*c**k = 0.
1
Let u(n) be the second derivative 