2*w - 9. Let h(x) = 6*q(x) - 13*r(x). Let h(n) = 0. Calculate n.
-2, 1/3
Determine z, given that -1 - 6*z**2 + 16*z - 2 - 9*z + 2 = 0.
1/6, 1
Let z(k) be the second derivative of k**4/42 + 4*k**3/21 - k. Factor z(f).
2*f*(f + 4)/7
Let s(r) be the second derivative of 1/90*r**5 + 0*r**2 - r + 1/54*r**4 + 0 + 0*r**3. Factor s(g).
2*g**2*(g + 1)/9
Factor -1/4*m**3 - 1/4*m**2 + 1/4*m + 1/4.
-(m - 1)*(m + 1)**2/4
Find d such that 5/2*d**4 + 13/2*d**3 + 2*d**2 - 2*d + 0 = 0.
-2, -1, 0, 2/5
Suppose 14 = 9*i - 13. Let z(x) be the third derivative of -x**2 + 0 + 0*x - 1/18*x**4 + 2/9*x**i + 1/180*x**5. Suppose z(a) = 0. What is a?
2
Factor 4/3*m**3 - 14/3*m**4 + 0 + 0*m + 0*m**2.
-2*m**3*(7*m - 2)/3
Let d(w) = 2*w**2 - 6 + 3 + 6*w + 5. Let g(m) = -6*m**2 - 18*m - 7. Let c(o) = -7*d(o) - 2*g(o). Factor c(r).
-2*r*(r + 3)
Let k(h) be the third derivative of 0*h + 0*h**4 + h**2 + 0*h**3 + 1/10*h**5 + 0 + 1/40*h**6. Factor k(u).
3*u**2*(u + 2)
Let d be (-7)/21 - 2/(-6). Find n such that -1/2*n**3 - 1/2*n + d + n**2 = 0.
0, 1
Let s(x) be the first derivative of 2*x**3/21 - 2*x**2/7 - 3. Suppose s(y) = 0. Calculate y.
0, 2
Let x be 64/5 - (-1 + (1 - 0)). Let x*g**4 - 1/5 + 12/5*g**2 + 16*g**3 - g = 0. Calculate g.
-1, -1/4, 1/4
Let r(h) be the second derivative of -h**6/225 + h**5/150 - 4*h. Factor r(d).
-2*d**3*(d - 1)/15
Factor -3/4*o**3 - 15/4*o**2 - 9/4 - 21/4*o.
-3*(o + 1)**2*(o + 3)/4
Let c(d) = 3*d**2 - 1. Let n(a) = -21*a**2 + 6. Let m(z) = -15*c(z) - 2*n(z). Factor m(j).
-3*(j - 1)*(j + 1)
Factor 1/5*d**4 + 1/5*d**3 - 1/5*d**5 + 0*d - 1/5*d**2 + 0.
-d**2*(d - 1)**2*(d + 1)/5
Let f be 1874/(-1870) + (-5)/(-5). Let w = f + 3758/8415. Factor w*c - 8/3*c**3 + 0 + 14/9*c**4 + 2/3*c**2.
2*c*(c - 1)**2*(7*c + 2)/9
Let f(l) = l**3 + 5*l**2 + 3*l. Let a be f(-4). Suppose 2*t + t + 8 = a*r, 0 = 5*r - 3*t - 10. Let p - 3*p + 3*p - p**r = 0. Calculate p.
0, 1
Suppose -5*x - 2*j - 7 = 0, -3 = 3*x + 2*j - 2. Let s be 6 + (x - 4 - -3). Factor 2/5 + 3/5*q**s - q.
(q - 1)*(3*q - 2)/5
Let 0*s - 6/5*s**2 + 6/5*s**4 - 6/5*s**3 + 6/5*s**5 + 0 = 0. Calculate s.
-1, 0, 1
Suppose -2*j - j = 15, 3*o + 15 = -3*j. Suppose o = 5*t + 3*k - 14, -3*t = -0*t - 4*k - 20. Solve -2*g**3 + t*g**3 - g - 3*g + 2*g**2 = 0 for g.
-2, 0, 1
Let d(t) be the first derivative of t**6/1440 - t**4/96 - 2*t**3 - 5. Let y(q) be the third derivative of d(q). Solve y(c) = 0 for c.
-1, 1
Let z(l) = -9*l**4 - 9*l**3 - 25*l**2 + 9*l. Let g(c) = c**4 + c**3 + 3*c**2 - c. Let q(n) = -51*g(n) - 6*z(n). Factor q(v).
3*v*(v - 1)*(v + 1)**2
Let r(z) be the second derivative of 3*z + 0*z**2 + 0 - 2/3*z**3 - 1/6*z**4. Suppose r(v) = 0. Calculate v.
-2, 0
Let z(s) be the third derivative of 1/945*s**7 + 0*s + 2/27*s**3 + 7/108*s**4 + 1/30*s**5 + 0 + 1/108*s**6 - 3*s**2. Factor z(v).
2*(v + 1)**3*(v + 2)/9
Let z(j) be the first derivative of 2*j**5/25 + 3*j**4/10 + 2*j**3/5 + j**2/5 + 1. Factor z(t).
2*t*(t + 1)**3/5
Factor -242 + 242 + 5*b - 5*b**2.
-5*b*(b - 1)
Let q(z) = -28*z**5 + 24*z**2 + 24*z - 24. Let h(b) = -b**5 + b**2 + b - 1. Let n(j) = 24*h(j) - q(j). Factor n(k).
4*k**5
Let p(t) be the third derivative of t**7/420 + t**6/48 - 9*t**2. Factor p(k).
k**3*(k + 5)/2
Let o(w) be the third derivative of w**8/80640 - w**7/3360 + w**6/320 - w**5/20 - w**2. Let d(p) be the third derivative of o(p). What is r in d(r) = 0?
3
Let n = -6 - -6. Find p, given that p**2 + 4*p - 2*p + n*p**2 - 3*p**2 = 0.
0, 1
Let n(c) be the third derivative of -c**8/112 + 3*c**7/35 - 7*c**6/20 + 4*c**5/5 - 9*c**4/8 + c**3 - 26*c**2. Factor n(s).
-3*(s - 2)*(s - 1)**4
Let g(f) be the third derivative of 1/100*f**5 + 0*f + 0*f**3 + 0*f**4 - 3/200*f**6 - 1/560*f**8 - 2*f**2 + 0 + 3/350*f**7. Factor g(w).
-3*w**2*(w - 1)**3/5
Let g(l) = -8*l**3 - 6*l**2 - 5*l. Let b(j) = -j**3 - j**2 - j. Let a(r) = 21*b(r) - 3*g(r). Factor a(s).
3*s*(s - 2)*(s + 1)
Let s(d) be the second derivative of 0 - 2/105*d**6 + 0*d**2 - 3/70*d**5 + 3*d + 4/21*d**3 + 1/147*d**7 + 2/21*d**4. Solve s(r) = 0 for r.
-1, 0, 2
Let g(r) be the second derivative of 1/2*r**3 - 4*r + 0 + 0*r**2 - 1/2*r**4. Factor g(q).
-3*q*(2*q - 1)
Factor 27/7*t + 3/7*t**3 + 18/7*t**2 + 12/7.
3*(t + 1)**2*(t + 4)/7
Let m(x) = -2*x + x + 11 + 4*x**2 + 2*x + 2*x**2. Let z(s) = 3*s**2 + 6. Let h(p) = -6*m(p) + 11*z(p). Find o such that h(o) = 0.
-2, 0
Suppose 6*u + 4 = 16. Solve 0 - 14/5*w**4 - 2*w**3 + 0*w - 6/5*w**5 - 2/5*w**u = 0 for w.
-1, -1/3, 0
Let p(s) = -2*s**3 - 3*s**2 - 6*s - 1. Let z(c) = -2*c**3 - 2*c**2 - 7*c - 1. Let q = 2 - 1. Let w be -2 + 1/q*-1. Let y(m) = w*p(m) + 2*z(m). Factor y(a).
(a + 1)**2*(2*a + 1)
Let h(a) be the first derivative of 2*a**5/5 + 5*a**4/3 + 8*a**3/3 + 2*a**2 + 2*a/3 + 5. Suppose h(r) = 0. What is r?
-1, -1/3
Suppose 6*f + 5*f - 22 = 0. Factor -1/5*b**3 - 1/5*b**4 + 1/5*b + 1/5*b**f + 0.
-b*(b - 1)*(b + 1)**2/5
Let b(j) = -5*j**2 - 6*j - 3. Let s(f) = -6*f**2 - 7*f - 3. Let t(k) = -4*b(k) + 3*s(k). Let i be t(-2). Suppose 12*m - 3 - i + 5 - 9*m**2 = 0. What is m?
1/3, 1
Let 0 + 0*q - 2/7*q**2 - 2/7*q**3 = 0. What is q?
-1, 0
Let u = -1/176 + 357/880. Suppose 0 = -c - 2*c + 6. Factor 6/5*o**c + 2/5*o + 6/5*o**3 + u*o**4 + 0.
2*o*(o + 1)**3/5
Let x be (-24)/2*(-2 - (-49)/28). Factor -2/5*a**4 - 4/5*a + 0 + 0*a**x + 6/5*a**2.
-2*a*(a - 1)**2*(a + 2)/5
Suppose 108/7*f**2 + 24/7*f**3 + 2/7*f**4 + 162/7 + 216/7*f = 0. Calculate f.
-3
Let r(c) be the first derivative of c**3 + 3*c**2 - 9*c + 4. Factor r(h).
3*(h - 1)*(h + 3)
Suppose 0 - 22/7*w**2 + 10/7*w**5 - 6/7*w**3 - 4/7*w + 22/7*w**4 = 0. Calculate w.
-2, -1, -1/5, 0, 1
Suppose -7 = -4*b + 3*b. Factor -2*v - 4*v**2 + 7*v - 2*v**3 - b*v.
-2*v*(v + 1)**2
Let m = -12 + 16. Let j(r) be the third derivative of 0*r - 1/15*r**5 - 1/12*r**m + 0 - 1/60*r**6 - r**2 + 0*r**3. Factor j(q).
-2*q*(q + 1)**2
Let l(b) = 3*b**3 + 5*b**2 + 4*b + 4. Let f(o) = 4*o**3 + 6*o**2 + 5*o + 5. Let y(x) = -4*f(x) + 5*l(x). Factor y(p).
-p**2*(p - 1)
Let t(r) = 6*r**2 + 9 - 21*r**2 - 5 - r + 3. Let f(a) = -1 - 3*a**2 + 3 - a**2. Let q(j) = -9*f(j) + 2*t(j). Factor q(d).
2*(d - 1)*(3*d + 2)
Let s(g) be the first derivative of g**6/3 + 6*g**5/5 + g**4 - 35. Let s(p) = 0. What is p?
-2, -1, 0
Suppose 0 = 3*w + 4*u, w + 4*u = 2*u. Suppose w = t + d, t + 32 = 4*t - 5*d. Factor 10*y**t - 14*y**3 + 14*y - 7*y**2 - 2 + y**2 - 2.
2*(y - 1)**2*(y + 1)*(5*y - 2)
Let s(q) be the second derivative of -1/50*q**5 - 1/150*q**6 + 0*q**2 + 0 - 1/60*q**4 + 0*q**3 - 4*q. Factor s(j).
-j**2*(j + 1)**2/5
Let o = -27/5 + 91/15. Let w = 0 - -3. Suppose -17/6*f**w + 0 + 8/3*f**2 - o*f + 5/6*f**4 = 0. What is f?
0, 2/5, 1, 2
Let u be (1 - 0)/(5/(-58)). Let l = 12 + u. Factor 2/5 + 4/5*x + l*x**2.
2*(x + 1)**2/5
Let a be -3*(2/6 + -1). Factor -2 + 3*t**a + 0 - 3*t + 3 - t**3.
-(t - 1)**3
Factor -2/9 - 20/9*p - 32/9*p**4 - 80/9*p**3 - 22/3*p**2.
-2*(p + 1)**2*(4*p + 1)**2/9
Factor 4*i - 2*i - 3*i**4 + 2*i**4 + 1 - 48*i**3 + 46*i**3.
-(i - 1)*(i + 1)**3
Factor -361/2 - 1/2*r**2 + 19*r.
-(r - 19)**2/2
Suppose 6*p - 3*p = 12. Let z = p + -1. Let 2 + b**z + b - 2 + 2*b**2 = 0. What is b?
-1, 0
Let r = 94 + -92. Solve 0 + 1/4*k**5 - 1/4*k**4 - 1/4*k**3 + 0*k + 1/4*k**r = 0.
-1, 0, 1
Let u be (-1)/(-4) - (-10)/(-8). Let b = 3 + u. Find g, given that -1/2*g**3 + 0*g + 0 - 1/2*g**b = 0.
-1, 0
Suppose 7*a - 10 = 5*l + 3*a, 0 = 5*l + a - 15. Factor -c**4 + 0*c + 2/3*c**3 + 1/3*c**l + 0.
-c**2*(c - 1)*(3*c + 1)/3
Let s(r) be the second derivative of -5/24*r**4 + 0 + 4*r - 1/24*r**6 - 5/24*r**3 - 1/8*r**5 - 1/8*r**2 - 1/168*r**7. Factor s(a).
-(a + 1)**5/4
Let p(s) be the second derivative of -s**6/360 + s**2 + s. Let j(k) be the first derivative of p(k). Factor j(x).
-x**3/3
Let r = 4 + -2. Factor -s**2 + s**3 + 2*s**3 - 4*s**3 + r*s**4 + 2*s**3.
s**2*(s + 1)*(2*s - 1)
Suppose -5*s - 1 = -4*g, -2*g - 23 = -s - 7*g. Determine x, given that x**3 - 4*x + x - s*x**2 - 2*x**3 - 1 = 0.
-1
Let v(l) = -3*l**4 + l**3 + 14*l**2 + 2*l - 6. Let g(k) = -k**3 - k**2. Let j(x) = 4*g(x) + v(x). Let d(s) = -s**2 + s. Let b(q) = d(q) + j(q). Factor b(o).
-3*(o - 1)**2*(o + 1)*(o + 2)
Let b(y) be the first derivative of -y**3/2 + 3*y**2/4 + 18. Let b(t) = 0. Calculate t.
0, 1
Factor -1/3*q**4 + 1/3*q**2 + 0 - 1/3*q**5 + 0*q + 1/3*q**3.
-q**2*(q - 1)*(q + 1)**2/3
Factor 2/3*o**4 -