- 3*y**3 - y.
-3*y*(y - 1)**2
Let x(n) = -102*n**4 - 101*n**3 - 40*n**2 - 4*n. Let g(s) = s**4 - s**3 + s**2. Let j be (-30)/(-9)*30/(-25). Let d(o) = j*g(o) - x(o). Factor d(a).
a*(2*a + 1)*(7*a + 2)**2
Let q be 3/(1 + 1 + -3). Let v = 5 + q. Factor 2*k - 1 - 4*k + 0*k + k**v + 2.
(k - 1)**2
Let m(s) be the second derivative of s**7/420 + s**6/60 + s**5/20 + s**4/12 + s**3/6 + s. Let f(w) be the second derivative of m(w). Factor f(o).
2*(o + 1)**3
Let x(i) be the first derivative of -4*i**3/3 - 12*i**2 - 20*i + 32. Let x(a) = 0. Calculate a.
-5, -1
Let j be ((-468)/195)/(-1 - 0). Factor -7/5*o**4 + 0 + j*o**3 - 3/5*o**2 - 2/5*o.
-o*(o - 1)**2*(7*o + 2)/5
Let y(n) be the second derivative of n**7/14 - 3*n**5/4 + 2*n**3 + 4*n. Determine a so that y(a) = 0.
-2, -1, 0, 1, 2
Factor 6*f**4 + 9*f**2 - 8*f**4 - 4*f**3 - 11*f**2.
-2*f**2*(f + 1)**2
Let i be (-3 + 2 - -2) + 1. Factor -5*p**3 - 52*p + 3*p**3 + 56*p - 2*p**i.
-2*p*(p - 1)*(p + 2)
Suppose 16*w - 16 = 12*w. Suppose w*z + 3*c = 15, z - 1 = -2*c + 4*c. Factor -s + 1/2*s**2 + 1/2*s**z + 0.
s*(s - 1)*(s + 2)/2
Determine k, given that -26/11*k - 4/11*k**4 + 8/11*k**2 - 2/11*k**5 + 12/11 + 12/11*k**3 = 0.
-3, -2, 1
Suppose -c - 5 = -5. Suppose 2/11*i**2 - 2/11*i**3 + c*i + 0 = 0. What is i?
0, 1
Factor 3/4*k**4 + 0 - 3/4*k**2 + 3/4*k - 3/4*k**3.
3*k*(k - 1)**2*(k + 1)/4
Let j(m) = m**2 - 1. Let x be j(1). Let v = x + 2. Solve a**2 - 1 - 2*a**2 - 3*a + 2*a**v + 3*a**3 = 0.
-1, -1/3, 1
Suppose -10/9*t**2 + 10/9*t**4 - 10/9*t**3 + 2/3*t + 4/9*t**5 + 0 = 0. What is t?
-3, -1, 0, 1/2, 1
Suppose -4*y + 14 = -2*r, -4*y + 3 = -y + r. Let u be (8/y - 4)/2. Factor u + 0*s - 2/5*s**2.
-2*s**2/5
Let t = 756 + -1447/2. Let b = -32 + t. Determine n, given that -1/2*n + 0 + 3/2*n**2 - 3/2*n**3 + b*n**4 = 0.
0, 1
Let r(q) = -q + 13. Let x be r(10). Let -3*b**5 + b**5 - b**2 + 6*b**4 + 7*b**2 - 6*b**x - 4*b**2 = 0. Calculate b.
0, 1
Let l(n) be the third derivative of -1/96*n**4 + 1/120*n**5 - 1/840*n**7 - n**2 + 0 + 1/240*n**6 - 1/24*n**3 - 1/1344*n**8 + 0*n. Factor l(k).
-(k - 1)**2*(k + 1)**3/4
Let v(k) be the second derivative of -1/42*k**4 + 0 + 2/21*k**3 - 2*k - 1/7*k**2. Factor v(j).
-2*(j - 1)**2/7
Let b be (8/6)/(6/9). Factor -2*l - 2*l**b - l**2 + 5*l**2.
2*l*(l - 1)
Suppose -3*d = 5*f - 2 - 5, -2*f = -d + 6. Let t(z) = 5*z**2 - z - 1. Let o be t(f). Factor -1/5*n + 0 + 0*n**3 + 2/5*n**2 + 1/5*n**o - 2/5*n**4.
n*(n - 1)**3*(n + 1)/5
Suppose 6*h + 40 = 64. Solve -32/9*k**2 - 4/9 - 28/9*k**3 - 2*k - 4/3*k**h - 2/9*k**5 = 0.
-2, -1
Solve 2/9*z**4 - 10/9*z**3 + 0 - 2/3*z + 14/9*z**2 = 0.
0, 1, 3
Let y be 1/(-9) - 475/(-225). Factor 1/7 - 1/7*g**3 + 3/7*g**y - 3/7*g.
-(g - 1)**3/7
Let k(o) be the second derivative of -o**9/5040 + o**8/2240 - o**4/3 - 6*o. Let m(j) be the third derivative of k(j). Suppose m(g) = 0. What is g?
0, 1
Let q(z) be the third derivative of z**7/840 + z**6/90 + z**5/24 + z**4/12 + z**3/2 - 3*z**2. Let l(o) be the first derivative of q(o). Factor l(h).
(h + 1)**2*(h + 2)
Factor 8/3*r**5 + 0*r**2 + 0 + 0*r**3 + 0*r + 2/3*r**4.
2*r**4*(4*r + 1)/3
Let x(d) be the second derivative of d**8/20160 - d**7/2520 + d**6/720 - d**5/360 + d**4/6 + 2*d. Let j(y) be the third derivative of x(y). Factor j(p).
(p - 1)**3/3
Let z(j) be the first derivative of -j**8/1680 + j**7/420 - j**6/360 + j**3 - 2. Let m(p) be the third derivative of z(p). Factor m(x).
-x**2*(x - 1)**2
Let y(i) = -i. Let d(k) = -4*k**2 + 2*k + 8. Let j(c) = d(c) + 6*y(c). Solve j(h) = 0.
-2, 1
Let y(d) be the third derivative of d**10/529200 + d**9/105840 + d**8/70560 + d**5/60 + d**2. Let o(x) be the third derivative of y(x). Factor o(l).
2*l**2*(l + 1)**2/7
Let x(j) be the third derivative of -j**4/24 + 7*j**3/6 + 2*j**2. Let i be x(5). Factor 6*t**4 - 6*t**2 - i*t**2 - 2*t**5 + 0*t**2.
-2*t**2*(t - 2)**2*(t + 1)
Let y(o) = o**3 + o. Let d(n) = -14*n**3 - 6*n**2 - 4*n. Suppose -2*f - 2 = -0. Let q(l) = f*d(l) - 6*y(l). Factor q(s).
2*s*(s + 1)*(4*s - 1)
Let k(q) = -12*q**4 - 4*q**3 + 8*q**2 + 4*q + 4. Let a(u) = u**5 - 13*u**4 - 5*u**3 + 8*u**2 + 4*u + 5. Let l(r) = 4*a(r) - 5*k(r). Factor l(h).
4*h*(h - 1)*(h + 1)**3
Let s(w) be the second derivative of -w**5/35 - w**4/7 + 20*w. What is f in s(f) = 0?
-3, 0
Solve -2/3*t**2 - 1/3*t - 1/3*t**3 + 0 = 0.
-1, 0
Suppose s - 2 = -0*s. Let n be (-6 - -4) + 5/s. What is h in n - 1/4*h**2 - 1/4*h = 0?
-2, 1
Let z(f) be the first derivative of f**3/12 - 7. What is w in z(w) = 0?
0
Let j(o) be the third derivative of o**8/84 - 2*o**7/35 - 2*o**6/15 + 16*o**2. Find k such that j(k) = 0.
-1, 0, 4
Solve 8/7*k**3 - 4/7 + 2/7*k**5 + 8/7*k**4 - 10/7*k - 4/7*k**2 = 0 for k.
-2, -1, 1
Let y(t) be the second derivative of -t**8/2520 + t**6/450 - t**4/180 - t**2/2 + 2*t. Let s(f) be the first derivative of y(f). Factor s(d).
-2*d*(d - 1)**2*(d + 1)**2/15
Let h be 2/20 - -3*(-258)/(-660). Solve -2/11*k**3 - 30/11*k - 18/11 - h*k**2 = 0.
-3, -1
Let m(c) be the second derivative of -c**4/20 + 11*c**3/5 - 363*c**2/10 + 11*c. Factor m(u).
-3*(u - 11)**2/5
Let y(s) be the first derivative of -4/5*s + 1/10*s**4 - 2 + s**2 - 8/15*s**3. Factor y(c).
2*(c - 2)*(c - 1)**2/5
Let d(v) be the third derivative of v**7/840 - v**6/120 + v**5/120 + v**4/24 - v**3/8 + 26*v**2. Factor d(l).
(l - 3)*(l - 1)**2*(l + 1)/4
Let u(q) = -q**3 + 12*q**2 - 11*q + 3. Let i be u(11). Determine s, given that -2/5*s**2 + 6/5*s**i + 2/5*s**5 + 0 - 6/5*s**4 + 0*s = 0.
0, 1
Let u(j) = -j + 31. Let z be u(31). Let r(m) be the third derivative of z*m + 1/90*m**5 - 1/36*m**4 + 0 - 4*m**2 - 2/9*m**3. Factor r(k).
2*(k - 2)*(k + 1)/3
Let v(d) = 4*d**3 + 5*d**2 + 2*d + 4. Suppose 7*o + 5 = 6*o. Let k = o + 10. Let u(p) = -8*p**3 - 11*p**2 - 5*p - 7. Let j(n) = k*v(n) + 3*u(n). Solve j(i) = 0.
-1, -1/2
Let d be (-13)/52*(26/(-5) - 2). Let 6/5*f**3 + 21/5*f**2 + 6/5*f + 0 - d*f**4 = 0. What is f?
-1, -1/3, 0, 2
Let g(t) = -t + 10. Let x be g(8). Factor -6*l**x + 15*l**2 - 8*l**2.
l**2
Let p(x) = -x**2 + 0*x + x - x**3 + x**4 - 2*x**4. Let g(k) = -2*k**4 - 3*k**3 - 4*k**2 + 3*k. Let a(m) = g(m) - 3*p(m). Determine u, given that a(u) = 0.
-1, 0, 1
Let o(w) be the first derivative of -4*w**6/15 + 18*w**5/25 - 3*w**4/5 + 2*w**3/15 - 10. Find z such that o(z) = 0.
0, 1/4, 1
Let r = 1 + -5. Let c = r - -16. Let 22*h**3 + 0 - 40/3*h**2 + 8/3*h - c*h**4 = 0. Calculate h.
0, 1/2, 2/3
Let p = 0 - -2. Factor 2*z + 4*z**2 + 0*z**2 - 2*z**3 - 4*z**p.
-2*z*(z - 1)*(z + 1)
Let m(j) = 3*j - 12. Let y be m(5). Factor -y*l + 3*l**3 + 3*l**3 - 3*l**3.
3*l*(l - 1)*(l + 1)
Find v such that 80*v - 3*v**2 + 4*v**2 - 6*v**2 - 320 = 0.
8
Let z be 2/10 + 415/50. Let v = -7 + z. What is s in 0 - 6*s**3 + s + v*s**2 + 7/2*s**4 = 0?
-2/7, 0, 1
Let a be (-94)/4 - (-3 + 2). Let w = -21 - a. Solve 1/2 - 1/2*r**3 - 3/2*r + w*r**2 = 0 for r.
1
Let w be ((20*-2)/(-4))/2. Let x(s) be the second derivative of s**2 - 1/20*s**w + 1/6*s**3 - 3*s + 0 - 1/6*s**4. Factor x(o).
-(o - 1)*(o + 1)*(o + 2)
Let u(n) be the first derivative of n**5/40 - n**4/8 + 3*n**2/2 + 3. Let b(s) be the second derivative of u(s). Determine c so that b(c) = 0.
0, 2
Factor -1/4*q**2 - 3/4*q**3 + 0*q - 1/4*q**5 - 3/4*q**4 + 0.
-q**2*(q + 1)**3/4
Let -15*v**2 + v + 9*v**2 + 5*v**2 = 0. What is v?
0, 1
Let h = 9 + -8. Let v be (-2)/18*h*-6. Solve 2/3*u**2 - 2/3*u + 0 - v*u**4 + 2/3*u**3 = 0.
-1, 0, 1
Determine w, given that 16*w - 26*w + 2*w**2 + 4*w = 0.
0, 3
Let r(y) be the second derivative of -y**6/30 + y**4/6 - y**2/2 - 5*y. Factor r(u).
-(u - 1)**2*(u + 1)**2
Factor -2/7*h**5 - 6/7*h**3 + 0*h + 0 + 6/7*h**4 + 2/7*h**2.
-2*h**2*(h - 1)**3/7
Let o(f) be the second derivative of 1/4*f**3 - 1/10*f**5 - 1/2*f**2 + 0*f**6 + 0 + 1/84*f**7 - f + 1/12*f**4. Factor o(y).
(y - 1)**3*(y + 1)*(y + 2)/2
Suppose 3/4 + 1/8*x**2 + 7/8*x = 0. Calculate x.
-6, -1
Let m(s) be the second derivative of -s**5/20 + s**4/4 - s**3/2 + s**2/2 - 9*s. Let m(c) = 0. Calculate c.
1
Factor 0 + 0*d - 8/5*d**2 + 5*d**5 - 14*d**4 + 44/5*d**3.
d**2*(d - 2)*(5*d - 2)**2/5
Factor 2/9*y**4 + 4*y**2 - 14/9*y**3 + 16/9 - 40/9*y.
2*(y - 2)**3*(y - 1)/9
Find s such that 26*s**2 - 3109*s**3 - 9*s - 30 - 8*s**2 + 3106*s**3 = 0.
-1, 2, 5
Let p(g) be the third derivative of -g**9/18144 + g**7/5040 + g**3/6 - 4*g**2. Let i(r) be the first der