(w) be the first derivative of z(w). Factor s(g).
(g - 1)*(g + 2)/4
Let a be 5 - (1 - (-4 - -3)). Solve 47*f**3 - f - 4*f**2 - 46*f**3 + 1 + a*f**2 = 0.
-1, 1
Let r(c) be the first derivative of 2*c + 9/2*c**2 - 2 - 3/5*c**5 - 1/3*c**6 + 13/3*c**3 + 5/4*c**4. Determine s, given that r(s) = 0.
-1, -1/2, 2
Let j(n) be the first derivative of -n**6/30 + n**5/5 - 5*n**4/12 + n**3/3 + 2*n - 2. Let s(l) be the first derivative of j(l). Solve s(f) = 0 for f.
0, 1, 2
Let n(b) be the first derivative of b**4 + 0*b**3 - b**2 + 0*b**5 - 9 + 0*b - 1/3*b**6. Find g such that n(g) = 0.
-1, 0, 1
Let c be 10/95 - (-300)/399. Determine f, given that c*f**2 + 2/7*f - 4/7 = 0.
-1, 2/3
Let t(f) = -f**2 + 7*f - 6. Let b be t(6). Let l be (b + 2 + -2)/(-1). Factor 0 - 1/3*y**3 + 0*y**2 + l*y.
-y**3/3
Let f(h) be the first derivative of -1 - 1/180*h**5 + 1/2*h**2 + 1/9*h**3 + 1/72*h**4 + 0*h. Let d(n) be the second derivative of f(n). Factor d(b).
-(b - 2)*(b + 1)/3
Let g(n) be the first derivative of 1/90*n**5 + 0*n - n**2 + 3 - 1/9*n**3 + 1/180*n**6 - 1/36*n**4. Let m(f) be the second derivative of g(f). Factor m(c).
2*(c - 1)*(c + 1)**2/3
Let t(z) be the first derivative of -z**7/70 + 3*z**6/40 - 3*z**5/20 + z**4/8 + z**2 + 6. Let c(o) be the second derivative of t(o). What is q in c(q) = 0?
0, 1
Let a(m) be the second derivative of -m**8/36960 - m**7/13860 + m**4/3 + m. Let j(u) be the third derivative of a(u). Factor j(z).
-2*z**2*(z + 1)/11
Let j(c) = 2*c**2 + 8*c + 6. Let s(n) = -n**2 - 7*n - 6. Let u(x) = -3*j(x) - 4*s(x). Factor u(f).
-2*(f - 3)*(f + 1)
Let b(g) be the first derivative of -1/10*g**4 - 1/5*g**2 + 4/15*g**3 + 0*g + 3. Factor b(t).
-2*t*(t - 1)**2/5
Let j(c) be the third derivative of c**5/60 - c**4/8 + c**3/3 - 23*c**2. Factor j(q).
(q - 2)*(q - 1)
Let c = -858/5 - -172. Factor -c*n**2 - 6/5*n - 4/5.
-2*(n + 1)*(n + 2)/5
Let q = 47 + -42. Factor 4/3*c**4 - 1/3*c + 0 - 1/3*c**q + 4/3*c**2 - 2*c**3.
-c*(c - 1)**4/3
Let x(i) be the third derivative of -i**8/5880 - i**7/1470 + i**5/210 + i**4/84 - 2*i**3/3 - 4*i**2. Let g(c) be the first derivative of x(c). Solve g(y) = 0.
-1, 1
Let q(d) = 8*d**2 + 24*d - 48. Let i(v) = v**2 - 1. Let k(j) = 12*i(j) - q(j). Find y, given that k(y) = 0.
3
Let b(u) = -u**3 + 3*u**2 - 9*u + 11. Let c(l) = -2*l + 12 - l**3 + 0*l**2 + 2*l**2 - 6*l. Let j(y) = -4*b(y) + 3*c(y). Find n such that j(n) = 0.
2
Factor -2/5*w**3 - 4/5*w - 6/5*w**2 + 0.
-2*w*(w + 1)*(w + 2)/5
Let u(r) be the first derivative of -r**6/120 - r**5/20 + 2*r**3/3 - r**2 - 1. Let y(l) be the second derivative of u(l). Factor y(w).
-(w - 1)*(w + 2)**2
Let s = -33 - -39. Let d(t) be the first derivative of 0*t**2 + 0*t + 9/4*t**4 - 2 + 5/6*t**s + 2/3*t**3 + 12/5*t**5. Factor d(p).
p**2*(p + 1)**2*(5*p + 2)
Let q = -2/963 - -3862/4815. Factor q*n + 2/5 + 2/5*n**2.
2*(n + 1)**2/5
Let v(t) be the third derivative of -t**6/360 - t**5/180 + t**4/36 - 17*t**2. Find m, given that v(m) = 0.
-2, 0, 1
Let w be 30/4 + 1/(-2). Suppose 2*m = w - 1. Find u such that -4*u**2 - 2*u**2 + 4*u**2 + 2*u**m = 0.
0, 1
Let m(f) be the first derivative of -f**4/4 + f**3 - 3*f**2/2 + f - 37. Factor m(j).
-(j - 1)**3
Let k = 59 - 59. Let f be ((-4)/10)/(3/(-5)). Find w such that 0*w**3 - f - 2/3*w**4 + 4/3*w**2 + k*w = 0.
-1, 1
Let g(w) be the third derivative of -w**6/720 + w**5/120 + w**4/16 + 5*w**3/36 + 7*w**2. Factor g(v).
-(v - 5)*(v + 1)**2/6
Let y(p) = -p**3 + 19*p**2 - 16*p - 36. Let u be y(18). Factor u + 0*a**2 - 2/5*a + 2/5*a**3.
2*a*(a - 1)*(a + 1)/5
Let o = 7 + -41/6. Let w(z) be the first derivative of 0*z + 1/2*z**2 - 2 - 1/8*z**4 + o*z**3. Factor w(p).
-p*(p - 2)*(p + 1)/2
Let m(i) be the first derivative of i**4/18 - 2*i**3/9 + 8*i/9 + 8. Let m(a) = 0. What is a?
-1, 2
Let j = -151 + 154. Find f, given that 0*f - 10/9*f**j + 0 - 8/9*f**4 - 2/9*f**2 = 0.
-1, -1/4, 0
Let l = -14 - -11. Let f = -3 - l. Let 1/3*r**4 - 1/3 - 2/3*r + f*r**2 + 2/3*r**3 = 0. What is r?
-1, 1
Factor -1/5*w**2 + 0*w + 1/5.
-(w - 1)*(w + 1)/5
Suppose 0 = 3*g + 4*g. Let o(u) be the third derivative of -3/80*u**5 + 0*u + g + 0*u**4 - 3*u**2 + 1/2*u**3 - 1/160*u**6. Factor o(h).
-3*(h - 1)*(h + 2)**2/4
Let z(x) be the first derivative of x**6/9 + 4*x**5/9 - 4*x**4/3 + 4*x**3/9 + 5*x**2/9 + 28. Let z(a) = 0. Calculate a.
-5, -1/3, 0, 1
Let j be (-106)/(-30) + (-3)/(2 - -7). Factor -648/5*i**4 - 24/5*i + 36*i**2 + 486/5*i**5 - j + 54/5*i**3.
2*(3*i - 2)**3*(3*i + 1)**2/5
Solve -t**2 - 4*t**2 + 29*t - 74*t = 0 for t.
-9, 0
Let c(i) be the first derivative of -7*i**4/20 - i**3/5 + 2*i - 3. Let h(j) be the first derivative of c(j). Factor h(s).
-3*s*(7*s + 2)/5
Solve 20/9*n**2 + 4/9*n**3 + 4/3*n - 4 = 0.
-3, 1
Suppose 0 = -4*u - f + 3 + 1, 14 = u - 3*f. Let p be 3 - (u + (-2 - 0)). Determine i so that i**2 + 8*i + p - 1 + 5*i**2 = 0.
-1, -1/3
Let y = -531 - -1063/2. Factor y - 7/4*s**2 + 3/4*s - 3/4*s**3 + 5/4*s**4.
(s - 1)**2*(s + 1)*(5*s + 2)/4
Let z(w) be the first derivative of w**4/8 - 7*w**3/2 + 30*w**2 - 50*w + 32. What is r in z(r) = 0?
1, 10
Suppose -15 + 27 = 3*k. Let t(w) = 0*w**3 - 2*w**2 + 5*w**2 + 2*w**3. Let v(p) = p**3 + 2*p**2. Let b(i) = k*t(i) - 6*v(i). Factor b(h).
2*h**3
Let z = -1185 + 1188. Factor -m**2 - 1/2*m**z - 1/2*m + 0.
-m*(m + 1)**2/2
Let m = -15 - -1. Let r be (-64)/m + -4*1. Suppose -r*j - 10/7*j**2 + 0 = 0. What is j?
-2/5, 0
Let x(o) be the third derivative of -o**6/180 + o**5/90 + 2*o**2. Suppose x(d) = 0. What is d?
0, 1
Let u(c) be the first derivative of c**6/9 + 2*c**5/15 - c**4/6 - 2*c**3/9 + 12. Factor u(w).
2*w**2*(w - 1)*(w + 1)**2/3
Let x(u) be the third derivative of -u**8/6720 - u**7/1680 + u**5/30 + 7*u**2. Let r(o) be the third derivative of x(o). Factor r(p).
-3*p*(p + 1)
Suppose -4*j + 4 + 8 = 0. Factor 28*m - 32*m**3 + 4*m**j - 8 + 173*m**2 - 165*m**2.
-4*(m - 1)*(m + 1)*(7*m - 2)
Let f(g) be the second derivative of -3*g + 3/2*g**4 + 0 - 6*g**3 - 3/20*g**5 + 12*g**2. Suppose f(s) = 0. What is s?
2
Let d(x) be the second derivative of 1331*x**6/45 - 2783*x**5/30 + 110*x**4 - 592*x**3/9 + 64*x**2/3 + x - 2. Solve d(i) = 0 for i.
4/11, 1
Let v(a) = -a. Let x(b) = -2*b**2 - 11*b - 4. Let u(z) = 5*v(z) - x(z). Solve u(s) = 0.
-2, -1
Suppose 2*w + 33*y - 38*y + 5 = 0, 0 = 4*w - 3*y + 3. Factor 9/5*a**3 + 2/5*a + 1/5*a**5 + w + a**4 + 7/5*a**2.
a*(a + 1)**3*(a + 2)/5
Let p = 53 - 35. Let t be p/(-5) - 4/(-1). Determine f so that 2/5*f**3 + 4/5*f**2 + 0 + t*f = 0.
-1, 0
Let 0 - 2/7*w**4 - 8/7*w**2 + 0*w - 8/7*w**3 = 0. Calculate w.
-2, 0
Let g(c) = 7*c**3 - 6*c + 6. Suppose 4*v = -v + 25. Let l(o) = -6*o**3 + 5*o - 5. Let j(y) = v*g(y) + 6*l(y). Factor j(p).
-p**3
Suppose 0 = -5*t + 39 + 1. Suppose -t*f = -10*f + 4. Determine s, given that -4/7*s**f + 0*s**3 + 2/7 + 2/7*s**4 + 0*s = 0.
-1, 1
Let o be 21/4 - 20/4. Solve -o + 1/4*p**2 + 1/4*p**3 - 1/4*p = 0 for p.
-1, 1
Suppose -3*p - p - 40 = 0. Let s be (15/p)/(3/(-8)). Let 3/2*t**s + 6*t - 6*t**3 + 9/2*t**2 - 6 = 0. Calculate t.
-1, 1, 2
Suppose -i + 5 = 1. Let n(f) be the second derivative of -1/6*f**i - 2*f + 0*f**2 + 0*f**3 + 0 - 1/10*f**5. Solve n(v) = 0 for v.
-1, 0
Suppose 5*a - 2*a + d = 9, 4*d - 8 = 2*a. Solve -3/5*k - 1/5*k**3 - 1/5 - 3/5*k**a = 0 for k.
-1
Let a(l) = l**3 - 6*l**2 + 15*l - 16. Let y be a(3). Factor 1/4*c**4 + 0 + y*c**2 - c - 5/4*c**3.
c*(c - 2)**2*(c - 1)/4
Let j(u) be the first derivative of -1/2*u**2 - 1/12*u**3 + 1/24*u**4 - u + 3. Let k(h) be the first derivative of j(h). Factor k(y).
(y - 2)*(y + 1)/2
Let w(s) be the first derivative of -s**6/10 - 6*s**5/25 + 6*s**4/5 + 16*s**3/5 - 24*s**2/5 - 96*s/5 + 6. Factor w(b).
-3*(b - 2)**2*(b + 2)**3/5
Factor 1/4*w**2 + 1/2 - 3/4*w.
(w - 2)*(w - 1)/4
Let w(k) be the second derivative of 0*k**3 + 0 + 0*k**2 + 1/6*k**4 + 4*k - 1/10*k**5. Find c, given that w(c) = 0.
0, 1
Let y(o) be the second derivative of o**7/2520 + o**6/240 + o**5/60 - o**4/6 - o. Let t(g) be the third derivative of y(g). Find l, given that t(l) = 0.
-2, -1
Let o be 1 + 36/(-28) + 2. Suppose 9/7*a**4 + o + 6/7*a**3 - 27/7*a**2 + 0*a = 0. What is a?
-2, -2/3, 1
Let d(n) = 5*n**2 + 6*n + 7. Let t(m) = 9*m**2 + 11*m + 13. Let x(g) = 11*d(g) - 6*t(g). Factor x(y).
(y - 1)*(y + 1)
Let t(r) = -r**2 - r. Let i(f) = f**4 - 4*f**2 - 3*f. Let j(p) = -i(p) + t(p