ivative of v(r). Factor f(u).
u**2*(u + 1)**2
Let f(q) = 10*q**3 + 2*q**2 - q + 7. Let z(y) = -3*y**3 - y**2 - 2. Let r(h) = 2*f(h) + 7*z(h). Factor r(m).
-m*(m + 1)*(m + 2)
Let g be ((-1)/3)/((-1)/6). Suppose 5*c + 5*u + 0*u = 25, 2*u + 14 = 4*c. Factor -c + 0*r**g - r**2 + 5.
-(r - 1)*(r + 1)
Let x(u) be the first derivative of -u**5/15 - u**4/6 + u**3/9 + u**2/3 + 12. Suppose x(i) = 0. What is i?
-2, -1, 0, 1
Let l = -4 + 8. Suppose -l*c = -c. Determine w so that 2/3*w**2 + c - 4/3*w = 0.
0, 2
Let i = 73 + -507/7. Factor 2/7 + i*c + 2/7*c**2.
2*(c + 1)**2/7
Let v(i) be the second derivative of 3*i**5/80 - 5*i**4/16 + i**3/4 + 3*i**2 + 39*i. Factor v(d).
3*(d - 4)*(d - 2)*(d + 1)/4
Find u, given that 0*u**2 + 108 + 2*u**2 + 36*u + u**2 = 0.
-6
Let g be 11*3 - (-1 + -1). Suppose 0*s - g = -5*s. Find o such that -4*o + 9*o + 4*o - 1 - 1 - s*o**2 = 0.
2/7, 1
Let n = -120 - -842/7. Let t(r) = -r**2 + 5*r - 3. Let i be t(3). Factor -n*j**2 - 2/7*j**i + 0*j + 0.
-2*j**2*(j + 1)/7
Suppose q = r + 3*r - 29, 15 = 2*r - q. Let g be ((-4)/r)/(6/(-21)). Factor -g*u - 2*u**4 + 0*u**2 + 6*u**3 + 3*u**2 - 4*u**3 - u**2.
-2*u*(u - 1)**2*(u + 1)
Factor 4/7*y - 2/7*y**2 - 2/7.
-2*(y - 1)**2/7
Let m(i) = 2*i + 4. Let c(u) = -u - 2. Let p(r) = 9*c(r) + 4*m(r). Let f be p(-7). Factor 0*z**3 + 0 + z**2 - z**4 - 1/2*z**f + 1/2*z.
-z*(z - 1)*(z + 1)**3/2
Let x be (-92)/(-48) + (-4)/(-12). Find n, given that x*n**2 - 3*n + 3/4 = 0.
1/3, 1
Factor 4/7 + 8/7*p**3 - 4/7*p**2 - 8/7*p.
4*(p - 1)*(p + 1)*(2*p - 1)/7
Suppose 0 = h - 3*l - 9, l = -0*h + 5*h - 17. Suppose 8*m**h - 5*m**2 - 9*m**3 + 3*m**2 = 0. What is m?
-2, 0
Solve -1/5*l**2 + 0*l + 1/5 = 0 for l.
-1, 1
Let i = 6047/15 - 403. Let j(w) be the first derivative of 0*w + 0*w**4 - 1 + 0*w**2 - 2/9*w**3 + i*w**5. Factor j(a).
2*a**2*(a - 1)*(a + 1)/3
Let y be -5*2*(0 + 1). Let a = y - -18. Factor 3*w**4 - 2*w**5 - 2*w**2 + 0*w**5 - w**4 - 16*w + 10*w**3 - a.
-2*(w - 2)**2*(w + 1)**3
Suppose 0 = 5*s + 5*f - 11 - 39, 18 = s + 5*f. Let j(g) be the first derivative of -14*g**2 + s*g - 3 + 10*g**3 - 9/4*g**4. Find u such that j(u) = 0.
2/3, 2
Let w(h) be the third derivative of h**7/12600 + h**6/3600 - 3*h**4/8 - 5*h**2. Let c(l) be the second derivative of w(l). What is q in c(q) = 0?
-1, 0
Let v = 36 - 31. Suppose -m + 6 = v*w, -2*w - 3 = 4*m + 9. Factor 4/7*d**3 + 0*d - 4/7*d**w - 1/7*d**4 + 0.
-d**2*(d - 2)**2/7
Let s(q) be the first derivative of -5 - 1/4*q**4 - 4*q + 2*q**2 + 1/3*q**3. Let s(a) = 0. Calculate a.
-2, 1, 2
Suppose 3*y + 0*m = 2*m + 10, -m = 3*y - 4. Suppose -6*w**2 + 2*w**2 + 2*w**y + 2 - 2*w**3 + 2*w = 0. What is w?
-1, 1
Let b(y) = -y**2 + 4*y + 9. Let r be b(7). Let q be (-1)/r - 2/(-8). Determine k so that -2/3*k - q*k**2 - 1/3 = 0.
-1
Suppose -2*u + 16 = 2*q - 0*q, -20 = -5*u. Suppose -2*r = -q - 0. Factor 4*x**2 - 2*x**2 - x - x**r.
x*(x - 1)
Solve 48*v - 2*v**3 - 72*v + 6 + 10 + 12*v**2 = 0 for v.
2
Suppose -4*s - 20 = -0*m - 3*m, -4*m + s = -31. Let d = -6 + m. Factor 4*c**d + 2/3*c**4 - 8/3*c - 8/3*c**3 + 2/3.
2*(c - 1)**4/3
Suppose -3*y - 8 = 10. Let s(o) = -o**5 + o**4 + o**3 + o - 1. Let h(r) = -2*r**5 + 3*r**4 + 2*r**3 + 3*r - 3. Let d(a) = y*s(a) + 2*h(a). Factor d(z).
2*z**3*(z - 1)*(z + 1)
Let q(s) be the second derivative of s**7/49 + s**6/21 + s**5/70 - s**4/42 + 3*s. Suppose q(j) = 0. What is j?
-1, 0, 1/3
Let q = 15 - 43/3. Let y(l) be the first derivative of 2*l**2 + 3 + q*l**3 + 2*l. Determine h, given that y(h) = 0.
-1
Let c = -23 - -8. Let r = -11 - c. Factor 1/4*o**r + 1/2*o**3 - 1/2*o - 1/4 + 0*o**2.
(o - 1)*(o + 1)**3/4
Let g(x) be the first derivative of -x**6/9 + 2*x**5/15 + x**4/2 - 10*x**3/9 + 2*x**2/3 + 2. Factor g(v).
-2*v*(v - 1)**3*(v + 2)/3
Suppose 0 = 5*q, -4*k - k = 2*q - 10. Let d = 26 - 15. Factor -d*y - 6*y**2 + 5 - 3 + 15*y**k.
(y - 1)*(9*y - 2)
Let i(k) be the second derivative of k**6/180 - k**4/12 + 2*k**3/9 - 3*k**2/2 + 4*k. Let u(o) be the first derivative of i(o). Factor u(n).
2*(n - 1)**2*(n + 2)/3
Let b(j) = -j**3 - 8*j**2 - 2*j - 16. Let o be b(-8). Let k = 1976/9 - 656/3. Factor 8/9*q**4 - k*q**3 + 0*q**2 + 0*q - 2/9*q**5 + o.
-2*q**3*(q - 2)**2/9
Let 9*s**2 + 2*s + 5*s**2 - 18*s**2 + 2*s**3 = 0. What is s?
0, 1
Let o = -641 - -4488/7. Factor 0*r**2 + 0 - o*r**3 + 0*r.
-r**3/7
Let b = -116/85 + 30/17. Solve -16/5*u**4 + 6/5*u**2 - 12/5*u**3 + b*u + 0 = 0 for u.
-1, -1/4, 0, 1/2
Factor 0 - 1/3*j**3 + 0*j + 1/3*j**2.
-j**2*(j - 1)/3
Let a(c) be the first derivative of 2*c**7/105 - c**6/30 + c**5/100 + 2*c + 3. Let z(r) be the first derivative of a(r). Factor z(k).
k**3*(k - 1)*(4*k - 1)/5
Let x be (-30)/(-14)*((-48)/20)/(-6). Factor 6/7*l**2 - 2/7*l + 2/7*l**4 + 0 - x*l**3.
2*l*(l - 1)**3/7
Let b = -20 - -27. Let m(w) = w**3 - 7*w**2 + w - 7. Let u be m(b). Suppose 1/2*f**2 + u + 1/2*f = 0. Calculate f.
-1, 0
Let g(y) be the second derivative of y + 0 + 2/3*y**2 + 1/3*y**3 + 1/18*y**4. Factor g(v).
2*(v + 1)*(v + 2)/3
Let d = 42/5 + -41/5. Factor -1/5*u**2 - d*u + 1/5 + 1/5*u**3.
(u - 1)**2*(u + 1)/5
Suppose 9 = 4*f - 7. Suppose -4*z - 8 = -2*g + f, 3*z + 2 = -2*g. Factor -4/5 - 14/5*u**g - 18/5*u.
-2*(u + 1)*(7*u + 2)/5
Let a be (-95)/(-20) - (-3)/12. Factor 0*t**4 + 0*t**2 + 2/9*t**a + 2/9*t - 4/9*t**3 + 0.
2*t*(t - 1)**2*(t + 1)**2/9
Let u be -3 - (0 + 12)*(-25)/50. Factor 0 - 5/3*h**u - 2/3*h**4 - 1/3*h - 4/3*h**2.
-h*(h + 1)**2*(2*h + 1)/3
Let q(a) be the second derivative of -a**6/720 - a**5/240 - 4*a**3/3 - a. Let g(w) be the second derivative of q(w). Factor g(p).
-p*(p + 1)/2
Let q(t) be the first derivative of -2/3*t - 1/3*t**4 + 2/9*t**3 + 1/2*t**2 + 1/18*t**6 + 0*t**5 - 3. Suppose q(u) = 0. What is u?
-2, -1, 1
Let d(x) = -x - 3. Let p be d(-5). Let a(i) be the second derivative of -1/27*i**3 - i + 1/54*i**4 + 0 + 0*i**p. Find o, given that a(o) = 0.
0, 1
Let u be ((-8)/14)/(16/(-56)). Let g(a) be the third derivative of 1/3*a**3 + 0 + 1/120*a**6 - 1/30*a**5 + 0*a + a**u - 1/24*a**4. Factor g(r).
(r - 2)*(r - 1)*(r + 1)
Let m(y) be the second derivative of y**5/5 - 2*y**4/3 - 2*y**3 + 26*y. Factor m(p).
4*p*(p - 3)*(p + 1)
Let d(f) = f**2 - 7*f. Let u be d(8). Determine v so that -2 + 1 + u*v - v**2 - 6*v = 0.
1
Let v be ((-1)/(-3))/(232/24 + -9). Let y(b) be the third derivative of 0*b**4 + v*b**3 + 0 - 1/20*b**5 + 0*b + 3*b**2. Suppose y(n) = 0. Calculate n.
-1, 1
Let k = 6 + -4. Suppose -9 = -d - k*d. Suppose 3*g**3 - 6*g - 2*g**3 + g**d + 4 = 0. Calculate g.
-2, 1
Let p(d) = -2*d - 2. Suppose 0*w - w = 3. Let g be p(w). Factor 11*u**4 + 5*u**2 + 9*u**g + 18*u**3 + u + 2*u**2 + 8*u**5.
u*(u + 1)*(2*u + 1)**3
Let a(s) = 2*s**2 - 4*s - 3. Let k be a(3). Factor -1/4*n**k - 1/2 + 1/2*n**2 + 1/4*n.
-(n - 2)*(n - 1)*(n + 1)/4
Let a(b) be the first derivative of b**6/27 + 4*b**5/45 - b**4/9 - 16*b**3/27 - 7*b**2/9 - 4*b/9 - 8. Suppose a(u) = 0. Calculate u.
-1, 2
Factor -n**2 + 12*n**3 - n**3 + 5*n**2 - 7*n**3.
4*n**2*(n + 1)
Let n = -18 + 20. Factor 2*o**3 + 2*o**4 - o**n + 0*o**4 - 3*o**4.
-o**2*(o - 1)**2
Let p(i) be the second derivative of i**7/1400 - 3*i**5/200 + i**4/20 - i**3/2 + 2*i. Let l(t) be the second derivative of p(t). Let l(g) = 0. Calculate g.
-2, 1
Let u(p) be the second derivative of p**4/18 + p**3/3 + 2*p**2/3 - 2*p. Factor u(i).
2*(i + 1)*(i + 2)/3
Let l be (1/(-30))/((-12)/15). Let g(k) be the third derivative of 0*k + l*k**4 + 0 - k**2 - 1/120*k**6 + 1/3*k**3 - 1/30*k**5. Solve g(b) = 0 for b.
-2, -1, 1
Suppose 2*x - 18 = -4*l, -6 + 0 = 2*x. Suppose 0 = -2*h + l*h. Factor 0*k**2 - 1/5*k**3 + h*k + 2/5*k**4 + 0 - 1/5*k**5.
-k**3*(k - 1)**2/5
Let p(g) = 2*g - 32. Let m be p(16). Factor -2/11*l**2 - 2/11*l**4 - 4/11*l**3 + 0*l + m.
-2*l**2*(l + 1)**2/11
Let o(t) be the third derivative of t**4/24 + 7*t**3/3 - 5*t**2. Let k be o(-10). Factor -8/3*s**3 - 7/3*s**2 + 0 - s**k - 2/3*s.
-s*(s + 1)**2*(3*s + 2)/3
Let o be 3*1/(-2 - -3). Suppose y + 1 = o. Suppose -12*z**2 - 8*z**3 - 4*z + 0*z**4 + 2*z**2 - y*z**4 = 0. Calculate z.
-2, -1, 0
Let h(g) be the second derivative of g**7/315 + g**6/225 - g**5/150 - g**4/90 + 16*g. Solve h(y) = 0.
-1, 0, 1
Let u(l) be the second derivative of -4*l**6/45 - 2*l**5/15 - l**4/12 + 5*l**3/6 - 6*l. Let x(r) be the second derivative of u(r). Factor x(d).
-2*(4*d + 1)**2
Let t be 1 + (-3