 - 5*y + 176. Let r be t(11). Factor -2/7*m + 2/7*m**2 + r.
2*m*(m - 1)/7
Let c(b) be the first derivative of b**6/12 - 3*b**5/20 + b**3/12 + 6. Let c(h) = 0. Calculate h.
-1/2, 0, 1
Factor 1/5*m**4 + 4/5 - 3/5*m**3 + 3/5*m - m**2.
(m - 4)*(m - 1)*(m + 1)**2/5
Let r(m) be the second derivative of m**4/12 - m**3/3 + m**2/2 + 5*m. Suppose r(d) = 0. What is d?
1
Let p(n) be the second derivative of -2*n + 0 + n**2 + 1/24*n**4 - 1/3*n**3. Factor p(x).
(x - 2)**2/2
Suppose -f = 3*h - 21, 0*f - f - h + 11 = 0. Suppose 0 = f*m - m - 20. Suppose 2*a**3 - 2*a - 2*a**2 + 24 + 2*a**m - 24 = 0. Calculate a.
-1, 0, 1
Let c(d) be the second derivative of -d**5/20 + d**4/8 + d**3 + 3*d**2/2 + 2*d. Let h(a) be the first derivative of c(a). Factor h(k).
-3*(k - 2)*(k + 1)
Let x be (-2)/10 - 42/(-10). Let j(l) be the first derivative of -1/2*l**2 - l + 1/2*l**x - 1/5*l**5 - 1 - 1/6*l**6 + 2/3*l**3. Factor j(p).
-(p - 1)**2*(p + 1)**3
Let p(y) be the second derivative of -1/10*y**5 + 0 - 8*y + 5/3*y**3 + 1/2*y**4 - 1/15*y**6 + 2*y**2. Solve p(l) = 0.
-1, 2
Let y be ((-228)/741)/((-6)/39 + 0). Factor 8/5*c + y*c**3 + 8/5 - 26/5*c**2.
2*(c - 2)*(c - 1)*(5*c + 2)/5
Factor 31*g**2 - 40*g + 100*g - 5 - 211*g**2.
-5*(6*g - 1)**2
Let m(x) be the first derivative of 5 + 15/4*x**2 + 11/2*x**3 + 5/2*x**4 + x. Suppose m(o) = 0. What is o?
-1, -2/5, -1/4
Let h(m) be the third derivative of m**6/480 - m**5/160 - m**3/6 - 2*m**2. Let y(z) be the first derivative of h(z). Solve y(j) = 0.
0, 1
Let p(r) be the second derivative of -r**5/25 - r**4/30 + 2*r**3/15 + r**2/5 + 17*r. Determine b, given that p(b) = 0.
-1, -1/2, 1
Suppose 7*t - t**2 - 5*t - 4*t**2 + 3*t = 0. Calculate t.
0, 1
Let c(h) be the first derivative of h**6/39 + 8*h**5/65 + 5*h**4/26 + 4*h**3/39 - 5. Factor c(i).
2*i**2*(i + 1)**2*(i + 2)/13
Let b = 3521/5 - 701. Find f, given that 32/5*f**3 + b*f**2 + 2/5 - 14/5*f = 0.
-1, 1/4
Find j, given that 0*j**2 + 6*j - 4*j**2 - 22*j - 16 = 0.
-2
Suppose 4*a - 6 = 3*y, -5*a - 7*y + 2*y - 10 = 0. Suppose 5*m - 3*m + 4*q + 4 = a, 6 = -3*q. Factor 4/3*d - 2/3*d**m - 2/3.
-2*(d - 1)**2/3
Let j be 420/(-225)*6/(-8). Factor -j*p**2 + 4/5 + 12/5*p.
-(p - 2)*(7*p + 2)/5
Let x be 20/((-25)/(-5)) - 2. Suppose 3*f = 4*q - 2, -4*q + 5*q + 2 = 2*f. Factor 2*n**4 + n**3 - 5*n**x + 4*n**f + n**3 - 3*n**4.
-n**2*(n - 1)**2
Let y be 10/(-6) - (15/(-5) - 0). Let -2/3*m + y*m**3 + 0*m**4 - 2/3*m**5 + 0*m**2 + 0 = 0. What is m?
-1, 0, 1
Let f = -627 - -1255/2. Solve -1/2*h**2 - f*h**3 + 1/2*h + 1/2 = 0.
-1, 1
Let a(u) be the second derivative of -u**6/195 + u**5/130 + u**4/26 - 5*u**3/39 + 2*u**2/13 - 23*u. Factor a(k).
-2*(k - 1)**3*(k + 2)/13
Let p = -1 - -4. Suppose b**2 + p*b**2 - 7*b**2 = 0. What is b?
0
Suppose -4*s = -3*x + 18, -2*x - 3*s = -s + 2. Let c(v) be the first derivative of -v**4 - 2*v**x - 1/5*v**5 - 2*v**3 - v + 3. Factor c(f).
-(f + 1)**4
Let y(d) be the first derivative of d**3/9 - d/3 + 10. Let y(s) = 0. Calculate s.
-1, 1
Suppose 0 = 5*g - 4*g. Let i be ((-5)/(-30))/(1/4). Factor 0*f + g - 2/3*f**3 - i*f**2.
-2*f**2*(f + 1)/3
Let v(q) = 2*q**2 + 5*q - 2. Let j be v(-4). Let h be (j - 3)*2/8. Let -1/4 + 5/4*o + 3/4*o**3 - h*o**2 = 0. Calculate o.
1/3, 1
Let z(q) be the first derivative of 21*q**5/5 + 45*q**4/2 + 29*q**3 + 9*q**2 + 16. Factor z(b).
3*b*(b + 1)*(b + 3)*(7*b + 2)
Let l(j) be the second derivative of 0*j**5 + 0 + 0*j**2 + 0*j**3 - 1/42*j**4 - j + 1/105*j**6. Factor l(p).
2*p**2*(p - 1)*(p + 1)/7
Let u(f) be the second derivative of 1/18*f**4 - 1/45*f**6 + 0 + 0*f**3 - 1/63*f**7 + 1/30*f**5 + 2*f + 0*f**2. Factor u(t).
-2*t**2*(t - 1)*(t + 1)**2/3
Let l = 7 - 3. Suppose a = -0 + l. Solve m**3 + 12*m**5 - 6*m**a + 0*m**3 - 3*m**5 = 0 for m.
0, 1/3
Let m = -35 - -25. Let n be (8/m)/(12/(-10)). Find p such that -n*p**2 - 2/9*p**3 - 4/9*p + 0 = 0.
-2, -1, 0
Let i(n) be the first derivative of 6*n**5/5 - 9*n**4/4 - 7*n**3 + 18*n**2 - 12*n + 24. Let i(s) = 0. What is s?
-2, 1/2, 1, 2
Let z(g) be the third derivative of g**5/120 + g**4/16 + g**3/6 + 6*g**2. Let z(f) = 0. What is f?
-2, -1
Suppose -80 - 20*p - 15*p - 10*p + 5*p - 5*p**2 = 0. Calculate p.
-4
Let t(a) be the third derivative of a**6/360 - 2*a**5/45 + 2*a**4/9 + 8*a**2. Find g, given that t(g) = 0.
0, 4
Let g(c) be the third derivative of c**2 + 0*c**4 + 0*c + 1/60*c**5 + 1/180*c**6 + 1/3*c**3 + 0. Let a(y) be the first derivative of g(y). Factor a(p).
2*p*(p + 1)
Let j = -4 - -9. Factor -6*s - 3*s**2 + 2*s**3 - 4*s**3 + j*s**3.
3*s*(s - 2)*(s + 1)
Let i(f) be the second derivative of -4*f**7/105 + 2*f**6/45 - f**5/60 - f**3/2 + 5*f. Let s(r) be the second derivative of i(r). Factor s(x).
-2*x*(4*x - 1)**2
Suppose 4*s + 2*c - 10 = 0, -3*s - 6 = -3*c - 18. Factor -3/4 - 3/4*l**s + 3/4*l**2 + 3/4*l.
-3*(l - 1)**2*(l + 1)/4
Let i(c) be the second derivative of -6*c**7/7 + 32*c**6/15 + 31*c**5/5 - 10*c**4 - 88*c**3/3 - 16*c**2 + 19*c. Solve i(g) = 0.
-1, -2/9, 2
Let m be 3*(1 - 3/9). Let u be 6/4*(0 + m). Let 5/3*n**2 - 4/3 - 4/3*n + n**u = 0. Calculate n.
-2, -2/3, 1
Let f(h) be the third derivative of 6*h**2 + 0*h**3 + 0*h**4 + 0*h + 0 - 1/165*h**5 - 1/220*h**6 - 1/1155*h**7. Determine m so that f(m) = 0.
-2, -1, 0
Let y(i) be the third derivative of -i**7/3360 + i**6/1440 + i**5/480 - i**4/96 - i**3/6 - 3*i**2. Let x(o) be the first derivative of y(o). Solve x(h) = 0.
-1, 1
Let q = 46 - 137/3. Let u = 98/39 - 24/13. Determine d so that d + q + u*d**2 = 0.
-1, -1/2
Let j = 182/675 + -2/675. Determine b so that 8/15 - 6/5*b + j*b**2 = 0.
1/2, 4
Let k(m) be the first derivative of -1/8*m**4 - 4 - 1/20*m**5 - 1/4*m + 1/24*m**6 + 1/6*m**3 + 1/8*m**2. Factor k(x).
(x - 1)**3*(x + 1)**2/4
Let p(f) be the third derivative of -f**6/120 + f**4/8 + f**3/2 - 6*f**2. Let n(x) be the first derivative of p(x). Let n(l) = 0. Calculate l.
-1, 1
Let k(t) be the second derivative of 0 - 2/9*t**3 + 3*t + 1/18*t**4 + 0*t**2. Find l such that k(l) = 0.
0, 2
Let f(w) be the third derivative of -1/15*w**4 - 4/15*w**3 + 0 + w**2 - 1/150*w**5 + 0*w. Factor f(d).
-2*(d + 2)**2/5
Let q(v) be the first derivative of -3/8*v**4 + 1/12*v**6 + 0*v + 0*v**2 + 7 + 0*v**5 - 1/3*v**3. Factor q(u).
u**2*(u - 2)*(u + 1)**2/2
Let s(j) be the first derivative of j**3/3 + 14*j**2 + 196*j + 38. Let s(i) = 0. What is i?
-14
Suppose 2*l + l - t = 4, -16 = 5*l + 4*t. Factor -2/3*r + 4/3*r**2 + 1/6*r**4 + l - 5/6*r**3.
r*(r - 2)**2*(r - 1)/6
Let v(b) = 3*b**2 - b + 3*b - 5*b**2 - b**3 + 4. Let m be v(-3). Solve -2*h**4 + 2*h**3 + m*h**4 + 2*h**5 - 9*h**4 = 0 for h.
0, 1
Let r(w) be the second derivative of -3*w + 0 - 1/3*w**3 - 2*w**2 + 1/30*w**5 + 0*w**4. Let z(i) be the first derivative of r(i). Find t, given that z(t) = 0.
-1, 1
Suppose -2*o + b = -2, -6*o + 3*o = 4*b - 14. Let l(w) be the first derivative of 0*w - 4 + 0*w**o - 1/2*w**4 + 2/3*w**3. Let l(d) = 0. What is d?
0, 1
Suppose 3*h = 3*s + 6, 3 - 4 = 4*h + 5*s. What is d in d + h + 0*d**2 - 3*d + d**2 = 0?
1
Let j be ((-7)/(-14))/(1/8). Solve 2 - 1/2*f**5 + 1/2*f**2 + j*f - 7/2*f**3 - 5/2*f**4 = 0 for f.
-2, -1, 1
Let h = 7 + -5. Solve -3*a - h*a**3 + a**4 + 3*a + 2*a - 1 = 0 for a.
-1, 1
Let u(o) be the third derivative of -o**6/240 - o**5/24 - o**4/6 - o**3/3 - 4*o**2. Factor u(a).
-(a + 1)*(a + 2)**2/2
Solve 4 - u**3 - u**2 - u**2 - u**2 + 2*u**3 = 0 for u.
-1, 2
Let b(p) be the second derivative of p**4/60 - 7*p**3/30 + 3*p**2/5 - 45*p. Find o, given that b(o) = 0.
1, 6
Let b = 1 - 1. Let n = 195 - 389/2. Factor 0 + 1/2*c**4 + b*c + n*c**3 - c**2.
c**2*(c - 1)*(c + 2)/2
Factor 10/7*b**2 + 4/7 - 22/7*b.
2*(b - 2)*(5*b - 1)/7
Let j be (-249)/60*-4 - 12/3. Find i, given that 0 - j*i**3 + 32/5*i**2 - 4/5*i = 0.
0, 2/9, 2/7
Let g = -94 + 97. Let w(r) be the third derivative of 0*r + 1/60*r**5 + g*r**2 - 1/12*r**4 + 0 + 1/6*r**3. Factor w(l).
(l - 1)**2
Let d be (3/(-100))/((-36)/10). Let s(y) be the third derivative of -1/30*y**5 - y**2 + 0 + 0*y**3 + d*y**6 + 1/24*y**4 + 0*y. Factor s(b).
b*(b - 1)**2
Let t = 3 + 0. Suppose 3*s + 2*p - 6 = 0, -2*s - t*s - p + 10 = 0. Factor -3*h + 5*h**s - h**2 - 3*h**3 + 2*h**2.
-3*h*(h - 1)**2
Let j(i) be the third derivative of 3*i**8/28 + 8*i**7/35 + 2*i**6/15 - 11*i**2. Solve j(q) = 0 for q.
-2/3, 0
Let c(m) be the first derivative of 2*m**3/2