ve of r(n). Factor o(v).
v**2*(v - 1)*(v + 2)
Suppose -5*n = 5*v + 5, 5*n = 2*v - 0*v - 33. Suppose 0*f - 8 = -v*f. Determine j, given that -2*j**f + j**3 - j + 0*j - 1 + 3*j**2 = 0.
-1, 1
Suppose 3*w = 3*n - 27, -19 = 2*w - 4*n + 9. Let x = w - -6. Suppose 8*q**5 + 0*q - 3*q**4 - 2*q + 10*q**x - 7*q**4 - 6*q**3 = 0. What is q?
-1, 0, 1/4, 1
Let a = -70 + 77. Let l(c) be the second derivative of 3*c + 0*c**5 + 1/2*c**4 + 0*c**2 + 0 - 1/2*c**3 + 1/14*c**a - 1/5*c**6. Determine q so that l(q) = 0.
-1, 0, 1
Let j = 43 + -40. Let o(k) be the third derivative of 1/120*k**4 + 1/200*k**6 - 1/1050*k**7 - j*k**2 + 0 - 1/100*k**5 + 0*k + 0*k**3. Factor o(z).
-z*(z - 1)**3/5
Suppose -5*w + 10*w - 25 = 0. Suppose 2*d = 4*d - 2*c - 14, -d = w*c + 23. Find b such that 26/3*b**3 - 10/3*b**5 + 40/3*b + 62/3*b**d - 14/3*b**4 + 8/3 = 0.
-1, -2/5, 2
Let m(q) = -7*q**2 + 11*q + 9. Let w(d) = -22*d**2 + 34*d + 26. Let y(u) = 10*m(u) - 3*w(u). Factor y(b).
-4*(b - 3)*(b + 1)
Find d such that 23 + 5*d**2 + 16*d + 9 + 0*d**2 - 3*d**2 = 0.
-4
Let u = 40/79 + -1/158. Let 0 + 3/2*x**3 - u*x**4 - 3/2*x**2 + 1/2*x = 0. Calculate x.
0, 1
Let r be 4/72*(11 - (3 - -4)). Determine v so that -r*v**3 - 2/9*v**2 + 0 + 0*v = 0.
-1, 0
Let z be ((5 + -4)*-27)/1. Let l = z + 29. Factor -2*n**l + 2/5*n**3 - 8/5 + 16/5*n.
2*(n - 2)**2*(n - 1)/5
Let b = 44 + -40. Determine q so that 9*q - 9/2*q**b - 18*q**2 + 15*q**3 - 3/2 = 0.
1/3, 1
Let z(j) be the third derivative of 3*j**2 - 13/240*j**5 + 0 - 1/80*j**6 - 1/840*j**7 - 1/8*j**4 + 0*j - 1/6*j**3. Let z(r) = 0. Calculate r.
-2, -1
Suppose 3*s = 4*s - r + 43, -4*s - 4*r = 212. Let h = -143/3 - s. Solve -1/3*z + 1/3*z**2 - 1/3 + h*z**3 = 0 for z.
-1, 1
Let t(c) = 5*c**4 + c**3 - 5*c**2 - 3*c. Let k = 5 + -8. Let v(x) = -6*x**4 + 6*x**2 + 3*x. Let y(w) = k*t(w) - 2*v(w). Factor y(g).
-3*g*(g - 1)*(g + 1)**2
Suppose 2*i = 2 - 8. Let a = 3 + i. Solve -t**2 + a*t**2 - 1 + 2 = 0 for t.
-1, 1
Let t = -19 - -39. Let y be t/105*7/3. Factor 2/9*q**3 + 0*q + 0 - y*q**4 + 0*q**2 + 2/9*q**5.
2*q**3*(q - 1)**2/9
Suppose 2*m - 5*x = 10, -4*m - 3*x - 6 = -2*m. Suppose 3*v + 0*v = m. Suppose v + 1/3*o + 1/3*o**4 - 1/3*o**2 - 1/3*o**3 = 0. Calculate o.
-1, 0, 1
Let j(i) be the third derivative of -5*i**2 + 1/300*i**5 + 0 + 1/120*i**4 + 0*i**3 + 0*i. Determine a, given that j(a) = 0.
-1, 0
Let v(s) be the second derivative of s**3/6 - 7*s**2/2 + 3*s. Let f be v(10). Factor 0*y - 1/3*y**f + 0*y**2 + 0.
-y**3/3
Let i(o) be the first derivative of -o**6/60 - o**5/15 + o**4/4 - 5*o**2/2 + 1. Let s(f) be the second derivative of i(f). Find a, given that s(a) = 0.
-3, 0, 1
Suppose 4*r + 0*r - 2 = -5*g, -4*g + 1 = 3*r. Let h(i) be the first derivative of -r*i**2 - 1/2*i**4 - 2*i**3 + 1 - 2*i. Factor h(u).
-2*(u + 1)**3
Let t = -27/5 - -123/20. Let -1/4 + 1/4*l**3 - t*l**2 + 3/4*l = 0. Calculate l.
1
Let y(x) be the third derivative of x**8/16 + 23*x**7/70 + 27*x**6/40 + 13*x**5/20 + x**4/4 - 4*x**2. Factor y(z).
3*z*(z + 1)**3*(7*z + 2)
Let f(v) = 7*v**2 + 2*v + 5. Let l(g) = -g - 2*g - 9 + 2 - 10*g**2. Suppose 20 = -5*t - 5*u, -3*t - 18 + 0 = -3*u. Let a(d) = t*l(d) - 7*f(d). Factor a(i).
i*(i + 1)
Let d be (-66)/(-15) + 4/(-10). Let x(y) be the second derivative of -2*y + 0*y**2 + 0 - 1/18*y**3 + 1/36*y**d - 1/90*y**6 + 1/60*y**5. Factor x(u).
-u*(u - 1)**2*(u + 1)/3
Let j(d) = 9*d**3 + d**2 - 20*d - 12. Let m(c) = -26*c**3 - 2*c**2 + 60*c + 36. Let k(x) = -14*j(x) - 5*m(x). Factor k(w).
4*(w - 3)*(w + 1)**2
Let y(d) be the third derivative of d**6/1020 + d**5/255 + d**4/204 + 18*d**2. Let y(b) = 0. What is b?
-1, 0
Let n(j) be the second derivative of j**7/70 - j**6/25 - 3*j**5/100 + j**4/10 - 2*j. Solve n(w) = 0 for w.
-1, 0, 1, 2
Let m(r) be the third derivative of -r**9/32256 + r**8/4480 - 3*r**7/4480 + r**6/960 - r**5/60 - 6*r**2. Let s(p) be the third derivative of m(p). Factor s(x).
-3*(x - 1)**2*(5*x - 2)/8
Let y(r) be the third derivative of -r**6/60 + r**5/30 + r**4/12 - r**3/3 + 5*r**2. Solve y(g) = 0.
-1, 1
Let q(w) be the third derivative of w**5/360 - w**4/36 - 5*w**3/36 + 13*w**2. Factor q(k).
(k - 5)*(k + 1)/6
Suppose -v + 8 = v. Let -78*g**3 - 57*g**3 + 72*g**2 + 54*g**4 + 21*g**v - 12*g = 0. Calculate g.
0, 2/5, 1
Let l be (-5 + 5 - (-23)/7) + -3. Factor 0*b - l*b**4 + 0 - 2/7*b**3 + 0*b**2.
-2*b**3*(b + 1)/7
Let s(w) be the third derivative of 0*w**4 - 1/210*w**7 + 5*w**2 + 0*w**3 + 1/672*w**8 + 1/240*w**6 + 0*w + 0*w**5 + 0. Factor s(y).
y**3*(y - 1)**2/2
Let b(u) = -24*u**3 - u. Let v be b(-2). Let q = v - 1742/9. Factor 2/3*x - 2/9*x**2 - q.
-2*(x - 2)*(x - 1)/9
Let i(s) be the second derivative of -3*s**5/40 + s**4/4 - s**3/4 - 3*s. Determine o so that i(o) = 0.
0, 1
Suppose -4*b + 11 = 3*y, 3*b - 5 = -2*y + 3. Factor 4 + 5*r + 3*r**2 + r**3 + 3*r + 2*r**b.
(r + 1)*(r + 2)**2
Let s(t) be the third derivative of -t**6/2340 - t**5/390 - t**4/156 - t**3/2 + 3*t**2. Let c(b) be the first derivative of s(b). Factor c(j).
-2*(j + 1)**2/13
Solve 10/3*c**3 + 0*c**2 + 0 + 0*c + 2/3*c**4 = 0.
-5, 0
Let f = -3 + 7. Find q such that -f*q**2 + 5*q**2 + 0*q**2 + 0*q**2 = 0.
0
Let y be -1*(-19 - -2) + -2. Let z(f) = 7*f**2 + 6*f + 3. Let s(h) = -27*h**2 - 24*h - 12. Let p(k) = y*z(k) + 4*s(k). What is n in p(n) = 0?
-1
Factor 5*m - 3 + m**2 + 4*m**2 - 7.
5*(m - 1)*(m + 2)
Suppose -17 = z + 5*l, -3*l - 2 = z + 7. Factor -5/2*n**z - 1 + n**2 + 5/2*n.
-(n - 1)*(n + 1)*(5*n - 2)/2
Let y(l) be the second derivative of 0*l**4 + 0 + 0*l**6 - 1/12*l**3 + 0*l**2 + 1/20*l**5 - 3*l - 1/84*l**7. Factor y(p).
-p*(p - 1)**2*(p + 1)**2/2
Let q(j) be the first derivative of -j**8/840 - j**7/175 - j**6/100 - j**5/150 + 2*j**3/3 - 5. Let y(v) be the third derivative of q(v). Factor y(w).
-2*w*(w + 1)**2*(5*w + 2)/5
Let p be 4*1/(-2)*-2. Let o = -3 + p. Factor 1 - o + 2*z**2 - 4*z + 2.
2*(z - 1)**2
Let z(p) be the second derivative of 1/2*p**4 + 2*p + 0 - 3/10*p**5 + 1/2*p**3 + 1/14*p**7 - 1/10*p**6 - 3/2*p**2. Find m such that z(m) = 0.
-1, 1
Factor -3/5*g**2 + 0 + 3/5*g**3 - 2/5*g + 7/5*g**4 + 3/5*g**5.
g*(g + 1)**3*(3*g - 2)/5
Suppose -44*d + 29 + 147 = 0. Factor -2/7 - d*t - 14*t**2.
-2*(7*t + 1)**2/7
Let y(u) be the second derivative of u**4/84 - u**2/14 + 39*u. Determine w so that y(w) = 0.
-1, 1
Let z(h) be the second derivative of h**8/5880 - h**7/1470 + h**6/1260 - h**3/2 - 4*h. Let t(x) be the second derivative of z(x). Factor t(j).
2*j**2*(j - 1)**2/7
Let c(o) be the third derivative of o**5/100 + 6*o**2. Suppose c(n) = 0. What is n?
0
Let r(n) be the second derivative of -n**4/24 - n**3/12 + 3*n**2/2 - 14*n. Find j, given that r(j) = 0.
-3, 2
Let m(j) = j**3 + 6*j**2 - 29*j - 18. Let o be m(-9). Determine b so that 0*b + 1/2*b**4 + 0*b**3 + 0*b**2 + o = 0.
0
Factor 7*d + 5*d**2 + 0 + 0 - 12*d.
5*d*(d - 1)
Find q such that 1/2*q**2 + 1/2*q - 1 = 0.
-2, 1
Let u(j) = -j**5 + 7*j**4 - 17*j**2 + 11*j - 5. Let m(s) = 3*s**4 - 9*s**2 + 6*s - 3. Let a(k) = -5*m(k) + 3*u(k). Factor a(z).
-3*z*(z - 1)**3*(z + 1)
Let 0 + 1/4*d - 1/4*d**3 + 0*d**2 = 0. What is d?
-1, 0, 1
Let c(s) be the second derivative of -s**10/45360 + s**9/7560 - s**8/3360 + s**7/3780 + s**4/6 - 3*s. Let v(a) be the third derivative of c(a). Factor v(q).
-2*q**2*(q - 1)**3/3
Suppose -1/3*g - 1/6*g**2 - 1/6 = 0. What is g?
-1
Suppose -20*o = -31 - 49. Determine t, given that -20/3 + 20/3*t - 10/3*t**3 + 5*t**2 - 5/3*t**o = 0.
-2, 1
Suppose 0 = d - 3*d + 16. Let w be 36/10 + d/(-4). What is c in 6/5*c**2 + 2/5 - w*c = 0?
1/3, 1
Factor 0*b**2 + 0 + 0*b + 2/17*b**5 - 2/17*b**4 + 0*b**3.
2*b**4*(b - 1)/17
Let x(o) be the third derivative of 4/735*o**7 - 4*o**2 + 0*o**4 + 0*o**3 + 0*o + 0 - 1/1176*o**8 - 1/84*o**6 + 1/105*o**5. What is c in x(c) = 0?
0, 1, 2
Let i(w) be the third derivative of -w**6/40 + 13*w**5/20 - 35*w**4/8 - 49*w**3/2 + 22*w**2. Find t, given that i(t) = 0.
-1, 7
Let n(z) be the first derivative of z**6/24 - z**5/20 - z**4/8 + z**3/6 + z**2/8 - z/4 + 55. Factor n(l).
(l - 1)**3*(l + 1)**2/4
Let d(x) be the first derivative of -4*x**5/5 - 2*x**4 + 4*x**3/3 + 4*x**2 - 3. Let d(o) = 0. Calculate o.
-2, -1, 0, 1
Let i(q) be the second derivative of -2*q**5/5 + 3*q**4/2 - 2*q**3/3 + 9*q. What is u in i(u) = 0?
0, 1/4, 2
Suppose 2*c + 3 = -3*f, 3*c + 2*f - 6 = -c. Let g = 1384/1631 + 2