 0*i - 1/2*i**5 + 0*i**2 - 2*i**3 = 0.
0, 2
Let c(n) be the first derivative of -3*n**5/5 + 3*n**4/2 + 3*n**3 - 6*n**2 - 12*n - 4. Determine v, given that c(v) = 0.
-1, 2
Let v(n) be the first derivative of -n**6/3 + 2*n**5 - 4*n**4 + 8*n**3/3 - 42. Solve v(q) = 0 for q.
0, 1, 2
Suppose 3*j = -1 + 7. Let w(g) = 5*g**4 + 5*g**3 + 11*g**2 - 11*g - 11. Let a(b) = b**4 + b**3 + 2*b**2 - 2*b - 2. Let f(h) = j*w(h) - 11*a(h). Factor f(s).
-s**3*(s + 1)
Let q = -35 + 39. Let f(x) be the first derivative of 1/3*x**2 - 4/9*x**3 + 1/6*x**q + 0*x - 3. Factor f(z).
2*z*(z - 1)**2/3
Determine b so that 0*b**3 + 2/9*b**2 + 0 - 2/9*b**4 - 1/9*b**5 + 1/9*b = 0.
-1, 0, 1
Let i(l) = 2*l**4 + 3*l**3 + 2*l**2 - 1. Let n(q) = -q**2 + 1. Let g(r) = r**2 + 8*r - 10. Let j be g(-9). Let a(c) = j*n(c) - i(c). Let a(f) = 0. Calculate f.
-1, -1/2, 0
Let f(r) be the second derivative of -r**7/10080 - r**6/2880 + r**4/6 - 5*r. Let k(h) be the third derivative of f(h). Factor k(c).
-c*(c + 1)/4
Let x(o) be the first derivative of o**7/525 - o**5/50 - o**4/30 + o**2 + 2. Let u(i) be the second derivative of x(i). Find f such that u(f) = 0.
-1, 0, 2
Let y be (((-3 - -1) + 4)/2)/2. Let n(u) be the first derivative of -1/10*u**5 + 1/4*u**4 + y*u + 0*u**3 - 1/2*u**2 + 5. Factor n(v).
-(v - 1)**3*(v + 1)/2
Let y = -4 - -6. Solve -t**4 + 26*t**y + 12*t**3 + 24*t + 3*t**4 + 7 + 1 = 0.
-2, -1
Let m(h) = -2*h - 3 + h + 0*h + 2*h. Let u be m(5). Factor -2/11 - 4/11*i + 0*i**u + 4/11*i**3 + 2/11*i**4.
2*(i - 1)*(i + 1)**3/11
Let k be 15/(-35) + (-123)/(-42). Factor k*l**3 + 5/4*l**4 + 1/4*l**5 + 5/4*l + 1/4 + 5/2*l**2.
(l + 1)**5/4
Let l(r) be the third derivative of r**7/6300 - r**5/300 - r**4/24 + 3*r**2. Let c(i) be the second derivative of l(i). Solve c(h) = 0 for h.
-1, 1
Let d(a) = -a**4 - 4*a**3 + 5*a**2 - 2. Let q(l) = l**4 - l + 1. Let g(n) = -d(n) - 2*q(n). Suppose g(x) = 0. What is x?
0, 1, 2
Suppose 0 = y + 4*y + 3*q - 1, -4*y - 4*q - 4 = 0. Factor 1/3*v**3 + 0 + 1/3*v + 2/3*v**y.
v*(v + 1)**2/3
What is c in 2/13*c**5 + 10/13*c - 10/13*c**4 - 2/13 - 20/13*c**2 + 20/13*c**3 = 0?
1
Let r(b) be the third derivative of -1/96*b**4 + 1/24*b**3 + 0 + 0*b - 1/1344*b**8 + 1/240*b**6 - 1/120*b**5 + 4*b**2 + 1/840*b**7. Find c such that r(c) = 0.
-1, 1
Let b be (6 - (-221)/(-39))/(2/24). What is x in 0*x**b + 0*x + 0 - 1/7*x**5 + 2/7*x**2 + 3/7*x**3 = 0?
-1, 0, 2
Let h(u) be the first derivative of 4*u**3/3 - 10*u**2 + 24*u - 23. What is r in h(r) = 0?
2, 3
Let q(u) be the second derivative of -u**9/37800 + u**8/8400 - u**7/6300 - u**4/12 + 3*u. Let w(h) be the third derivative of q(h). Let w(a) = 0. Calculate a.
0, 1
Let u(z) = z - 2. Let q be u(6). Solve 4*o**4 + 3*o - 4*o**4 + 2*o**q - 6*o**3 - 12*o**2 + 3*o**5 + 6 + 4*o**4 = 0 for o.
-2, -1, 1
Let l(u) be the first derivative of 0*u**2 - 1 + 1/135*u**6 + 2/27*u**3 + 0*u**5 + 2*u - 1/18*u**4. Let h(q) be the first derivative of l(q). Factor h(v).
2*v*(v - 1)**2*(v + 2)/9
Let g(r) be the third derivative of 1/72*r**4 + 0*r**3 + 1/180*r**5 - 2*r**2 + 0*r + 0. Determine c, given that g(c) = 0.
-1, 0
Factor -36/7*s**2 - 2/7*s**4 - 16/7 + 40/7*s + 2*s**3.
-2*(s - 2)**3*(s - 1)/7
Let w(u) = -u**2 + 6*u - 1. Let o be w(4). Let f = -3 + o. Factor -f*c - 2*c - c**2 + 7*c.
-c*(c - 1)
Suppose 3*m + m**2 - m**2 + 3*m**2 + 0*m**2 = 0. Calculate m.
-1, 0
Let m(c) be the second derivative of -c**4/72 + 7*c**3/36 - c**2/2 + 36*c. Factor m(k).
-(k - 6)*(k - 1)/6
Suppose -5*o + 37 + 5 = 4*y, 4*o = 4*y + 12. Let w(i) be the third derivative of 0 + 0*i**4 + i**2 - 1/9*i**3 + 0*i + 1/90*i**o + 1/30*i**5. Factor w(v).
2*(v + 1)**2*(2*v - 1)/3
Let q(p) be the first derivative of 2*p**5/25 - p**4/5 + 2*p**2/5 - 2*p/5 - 36. Find w, given that q(w) = 0.
-1, 1
Let h(n) be the third derivative of -n**8/2352 - 2*n**7/735 - n**6/168 - n**5/210 + 29*n**2. Suppose h(b) = 0. What is b?
-2, -1, 0
Let h = -648 + 155521/240. Let b(p) be the third derivative of 0 - h*p**6 + 0*p**3 + 0*p + 0*p**5 + p**2 + 1/48*p**4. Solve b(n) = 0.
-1, 0, 1
Let u be 6/(-15) + 66/15. Suppose -9*x**2 - 1 + 4 - 2*x - u*x = 0. What is x?
-1, 1/3
Factor -46*k + 87*k + 2 - 45*k + 2*k**2.
2*(k - 1)**2
Factor 8*m**5 - 4*m**4 - 12*m**3 + 4*m**2 - 3*m**5 - m**5 + 8*m.
4*m*(m - 2)*(m - 1)*(m + 1)**2
Let b = -329/36 + 359/9. Let t = 31 - b. Factor 0*k - t*k**4 + 0*k**3 + 0 + 1/4*k**2.
-k**2*(k - 1)*(k + 1)/4
Let c(o) be the first derivative of -o**6/15 - 2*o**5/25 + o**4/5 + 4*o**3/15 - o**2/5 - 2*o/5 + 33. Let c(j) = 0. Calculate j.
-1, 1
Let p be 0/(-2)*3/6. Factor p*x + 2/3*x**2 - 2/3.
2*(x - 1)*(x + 1)/3
Let k(g) = -g**3 - 7*g**2 - 8*g - 9. Let h be k(-6). Suppose -6*v + 45 = -h*v. Let -a**2 + 6 - v + 8 - 2*a = 0. Calculate a.
-1
Suppose -4*r - 3 = -19. Let d = r + -2. Factor t + 1 - 3*t + 0 + t**d.
(t - 1)**2
Factor 1/3*f**2 + 1 - 4/3*f.
(f - 3)*(f - 1)/3
Suppose 0 = 5*k - 4*d - 9, -5 + 2 = k + 4*d. Suppose -3*x - k = -7. Let -x - 2*n**5 + 4 + 2*n**3 - 2 = 0. Calculate n.
-1, 0, 1
Let h(r) be the second derivative of -r**5/450 - r**4/180 + 2*r**3/45 - 3*r**2 - 8*r. Let s(l) be the first derivative of h(l). Factor s(o).
-2*(o - 1)*(o + 2)/15
Let k = 1356/8983 + 2/691. Factor -k*c**2 + 2/13*c + 4/13.
-2*(c - 2)*(c + 1)/13
Suppose 0 = -4*u + 3*u. Let x(v) be the second derivative of 0 - 1/30*v**5 + 0*v**4 + 0*v**2 - 1/45*v**6 + 2*v + u*v**3. Determine b, given that x(b) = 0.
-1, 0
Let c = 253/6 + -42. Let z(j) be the second derivative of 1/24*j**4 - c*j**3 + 0 - 1/4*j**2 + 2*j + 1/20*j**5. Factor z(y).
(y - 1)*(y + 1)*(2*y + 1)/2
Let l = 653 + -4568/7. Find v, given that 3/7*v - l*v**3 + 0 + 0*v**2 = 0.
-1, 0, 1
Let z = -39973/5 + 7880. Let x = 115 + z. Factor 2/5*q - 2/5*q**2 - x*q**3 + 2/5.
-2*(q - 1)*(q + 1)**2/5
Suppose -4*c = 2*c - 12. Factor 10*p**3 - 14*p**2 + c*p - 7*p + 4*p + 5*p.
2*p*(p - 1)*(5*p - 2)
Let w(z) = -10*z**3 + 44*z**2 + 24*z - 30. Let j(a) = -2*a**3 + 9*a**2 + 5*a - 6. Let i(k) = 14*j(k) - 3*w(k). Determine m so that i(m) = 0.
-1, 1, 3
Let s be -1 + -1 + 1/((-18)/(-54)). What is a in -1/2*a**3 + s + 2*a**2 - 5/2*a = 0?
1, 2
Let n be 10/(-45) - (-58)/18. Solve f + 0*f - f**n + 0*f**3 = 0.
-1, 0, 1
Let i be 2 - 2/(-5 + 3). Let u(g) be the third derivative of 0 + g**2 - 1/300*g**6 + 0*g**i + 0*g - 1/60*g**4 - 1/75*g**5. Factor u(b).
-2*b*(b + 1)**2/5
Suppose 2*u + 0*u = 0. What is s in s**3 + u*s**2 + s**2 + s + s**2 = 0?
-1, 0
Let v be (-22)/(-6) + 6/(-9). Let l(t) = 5*t**2 - 2. Let o(f) = 3*f**2 + 4*f**2 + 10 - 31*f**2. Let s(q) = v*o(q) + 14*l(q). Factor s(x).
-2*(x - 1)*(x + 1)
Let v = -1618/27 + 60. Let j(z) be the third derivative of 0*z + 7/540*z**6 + z**2 + 8/135*z**5 + 11/108*z**4 + 0 + v*z**3. Factor j(m).
2*(m + 1)**2*(7*m + 2)/9
Factor -9*h**2 + 6*h + 3*h**3 - 3*h + 3*h.
3*h*(h - 2)*(h - 1)
Let p(n) be the second derivative of n**5/50 - n**3/15 - 5*n. Factor p(v).
2*v*(v - 1)*(v + 1)/5
Let w(h) be the second derivative of -h**5/50 + h**4/30 - 3*h. Factor w(q).
-2*q**2*(q - 1)/5
Let u(x) be the third derivative of x**6/240 - x**5/240 - 5*x**4/96 - x**3/12 + 16*x**2. Find z, given that u(z) = 0.
-1, -1/2, 2
Let w(i) be the second derivative of -i**7/56 - i**6/40 + 3*i**5/80 + i**4/16 - 9*i. Determine t, given that w(t) = 0.
-1, 0, 1
Let v be (10/6)/((-4)/(-3)). Let o be -2*13/(-8) + -3. Factor -v*y - y**2 - o*y**3 - 1/2.
-(y + 1)**2*(y + 2)/4
Let x be 2/2 - (1 - 3). Suppose 6*t - x + 0 + 0 - 3*t**2 = 0. What is t?
1
Suppose -4*n + 4*q = 3*q - 9, q + 3 = 2*n. Let p(l) be the first derivative of -n + 1/8*l**2 + 0*l - 1/16*l**4 + 0*l**3. Factor p(k).
-k*(k - 1)*(k + 1)/4
Let t(m) be the third derivative of 0*m + 1/40*m**6 + 0 - 1/8*m**4 - 1/20*m**5 - 2*m**2 + 1/70*m**7 + 0*m**3. Factor t(q).
3*q*(q - 1)*(q + 1)**2
Let t(n) be the first derivative of 5*n**4/4 - 5*n**3/3 - 5*n**2/2 + 5*n + 2. Factor t(g).
5*(g - 1)**2*(g + 1)
Let x(u) be the third derivative of u**10/16800 + u**9/5040 + u**8/6720 - u**5/30 + 5*u**2. Let r(a) be the third derivative of x(a). Factor r(i).
3*i**2*(i + 1)*(3*i + 1)
Let t(v) be the first derivative of v**7/2940 + v**6/1260 - v**5/420 - v**4/84 + 2*v**3/3 - 1. Let u(o) be the third derivative of t(o). What is h in u(h) = 0?
-1, 1
Let l(s) be the second derivative of 7/24*s**4 + 0 - 1/6*s**3 - 2*s + 0*s**2. Factor l(z).
z*(7*z - 2)/2
Let 