= 0. Calculate b.
3/4, 2
Let z(s) = s**2 + 5*s + 3. Let f be z(-5). Suppose -2*l = f*k + 2*k - 11, -4*l - 8 = 0. What is h in 2/11*h + 2/11*h**2 - 2/11*h**k - 2/11 = 0?
-1, 1
Factor 0*g + 0 + 1/3*g**4 - g**3 + 2/3*g**2.
g**2*(g - 2)*(g - 1)/3
Let u(r) be the first derivative of -9*r**4/2 - 20*r**3 - 28*r**2 - 16*r + 1. Determine h so that u(h) = 0.
-2, -2/3
Let f(q) be the second derivative of 1/20*q**4 - 1/50*q**6 + 1/100*q**5 + 0 - 1/15*q**3 + 1/210*q**7 + 0*q**2 - 2*q. Let f(y) = 0. What is y?
-1, 0, 1, 2
Factor -7/6*b**2 + 5/6*b + 1/3.
-(b - 1)*(7*b + 2)/6
Let x(j) be the second derivative of -j**7/560 + j**5/80 - j**3/3 + 3*j. Let z(c) be the second derivative of x(c). Let z(a) = 0. What is a?
-1, 0, 1
Suppose -13 = -3*s + r, 4*s + 2*r + 4 = 18. Suppose 10 = 3*i + s. Let -7*m + 5*m + 0*m + 2*m**i = 0. What is m?
0, 1
Let x be 8/(-24)*18/(-10). Suppose -x*h**3 + 0*h**2 - 6/5 + 9/5*h = 0. What is h?
-2, 1
Factor 9/2*k - 1 + 5/2*k**3 - 6*k**2.
(k - 1)**2*(5*k - 2)/2
Factor 2/13*s**2 - 2/13*s + 0.
2*s*(s - 1)/13
Factor -2 + 3 - 4*l**4 - 87*l**2 - l - 11*l**3 + 78*l**2.
-(l + 1)**3*(4*l - 1)
Let l(x) be the second derivative of -5*x**7/84 - x**6/3 - 3*x**5/8 - x. Factor l(w).
-5*w**3*(w + 1)*(w + 3)/2
Let b(u) be the first derivative of 0*u**3 - 4/3*u - u**2 + 1/6*u**4 - 10. Suppose b(o) = 0. What is o?
-1, 2
Let m = 18217 + -74745/4. Let o = m - -472. Solve -15/4*k**5 - o*k**4 + 0 + 0*k**2 + 0*k - 1/2*k**3 = 0.
-2/5, -1/3, 0
Suppose l + l = 6*l. Factor -2/3*h**4 + 0 + 0*h**3 - 2/3*h**5 + 0*h + l*h**2.
-2*h**4*(h + 1)/3
Let k(y) = -60*y**2 - 95*y - 20. Let q(w) = -w**2 + w + 1. Let j(i) = -k(i) + 25*q(i). Factor j(v).
5*(v + 3)*(7*v + 3)
Suppose y + 11 = -4*i, 6*y + 5 = 3*y - 5*i. Let s = y + -2. Factor 2*j**3 - j**2 - 7*j**3 + 6*j**s.
j**2*(j - 1)
Let h(y) = -3*y**3 - 5*y**2 + 3*y - 11. Let u be (1/3)/(2/42). Let m = 10 - u. Let w(q) = q**3 + 2*q**2 - q + 4. Let s(x) = m*h(x) + 8*w(x). Solve s(r) = 0.
-1, 1
Let m(w) = 5*w**2 - 4*w - 1. Let u(y) = y**2 - y. Suppose 11 = 5*n - 2*s, 2*n - 15 = -n + 4*s. Let b(c) = n*m(c) - 6*u(c). Factor b(p).
-(p - 1)**2
Let o(g) = -g**4 - 15*g**3 - 18*g**2 + 10*g + 22. Let k(m) = 4*m**4 + 75*m**3 + 90*m**2 - 49*m - 109. Let z(q) = 2*k(q) + 11*o(q). Factor z(b).
-3*(b - 1)*(b + 2)**3
Let f(i) be the first derivative of 2*i**3/3 + 7*i**2 + 12*i - 11. Factor f(p).
2*(p + 1)*(p + 6)
Factor 10/9*w**2 + 0 - 8/9*w**3 - 2/9*w.
-2*w*(w - 1)*(4*w - 1)/9
Let s be 6/(2 - (-1 + 1)). What is g in -9*g + 6*g**2 - 6*g**3 + 3*g**2 + s + g**3 + 2*g**3 = 0?
1
Let r(h) be the third derivative of -h**8/80 + h**7/70 + h**6/100 - 12*h**2. Suppose r(w) = 0. What is w?
-2/7, 0, 1
Suppose 6*v - v - 8 = -4*x, -2*x = 3*v - 4. Suppose x = -3*s + 14. Factor 6*w**2 - 12*w**3 + 6*w**s - 4*w + 3*w**2 - w**4 + 2*w.
w*(w - 1)**2*(5*w - 2)
What is m in 4*m**4 - 16 - 29*m**2 - 6*m + 41*m**2 - 14*m + 20*m**3 = 0?
-4, -1, 1
Let u(t) be the third derivative of -t**6/600 + t**5/50 + t**4/120 - t**3/5 + 8*t**2. Factor u(a).
-(a - 6)*(a - 1)*(a + 1)/5
Factor 8*c**3 + 7*c**3 - 3*c**2 - 17*c**2 + 5*c + 0*c**3.
5*c*(c - 1)*(3*c - 1)
Let q = -4 - -6. Suppose 2 + q = j. Suppose -3*z**2 - 4*z**j - z - z**2 - 6*z**3 + 2*z**5 - 3*z**5 = 0. What is z?
-1, 0
Factor -6/11*b**2 - 4/11*b - 2/11*b**3 + 0.
-2*b*(b + 1)*(b + 2)/11
Factor 4/3 + 2/3*s**2 + 2*s.
2*(s + 1)*(s + 2)/3
Let j(m) = m**4 + m**3 - m**2 + m + 1. Let f(i) = -i**2 - i - 1. Let y(g) = 2*f(g) + 2*j(g). Factor y(k).
2*k**2*(k - 1)*(k + 2)
Let z(m) be the first derivative of -10 + 0*m**2 + 0*m**3 - 1/28*m**4 + 0*m. Factor z(o).
-o**3/7
Let b(k) be the second derivative of k**6/225 + k**5/50 + k**4/30 + k**3/45 + 2*k. Factor b(h).
2*h*(h + 1)**3/15
Let t(k) = 8*k**4 - 3*k**3 - 2*k**2. Let q(p) = 9*p**4 - 3*p**3 - 2*p**2. Let s(i) = -6*q(i) + 5*t(i). Factor s(h).
-h**2*(2*h - 1)*(7*h + 2)
Let z = 1619/3230 + -2/1615. Factor z*j**2 - 3/2*j + 1.
(j - 2)*(j - 1)/2
Let o = 20 + -13. Determine w so that 2*w**2 - o*w**4 + 4*w**3 + w**3 + 4*w**3 - 4*w**2 = 0.
0, 2/7, 1
Let y(r) be the third derivative of -5/48*r**6 + 0*r - 1/2*r**4 - 1/3*r**3 - 3/8*r**5 + 4*r**2 + 0. Factor y(c).
-(c + 1)*(5*c + 2)**2/2
Let r = -248/5 + 50. Factor r*z**3 + 0*z**2 + 0 - 2/5*z.
2*z*(z - 1)*(z + 1)/5
Let -33/2*t**4 - 125/2 - 245*t**2 + 225*t + 98*t**3 + t**5 = 0. Calculate t.
1/2, 1, 5
Let x be 10/15 + (-6)/10. Let o(c) be the second derivative of x*c**6 + 0*c**2 + 0 + 1/10*c**5 - 1/3*c**3 + 3*c - 1/6*c**4. Suppose o(j) = 0. Calculate j.
-1, 0, 1
Let m(l) = 2*l - 1. Let f be m(4). Solve 3*r**2 + 0*r**2 - 5*r + f*r - 5*r = 0.
0, 1
Let a(f) be the second derivative of f**8/560 - f**7/70 + f**6/30 - f**3/3 + f. Let d(i) be the second derivative of a(i). Solve d(w) = 0.
0, 2
Factor 2/13*f**2 + 6/13*f - 8/13.
2*(f - 1)*(f + 4)/13
Let i(f) be the second derivative of -2*f**5/45 + f**4/18 + 3*f. Let i(l) = 0. Calculate l.
0, 3/4
Let j(u) be the third derivative of u**6/40 - u**5/20 + 31*u**2. Solve j(k) = 0 for k.
0, 1
Let q(b) be the second derivative of -b + 0 + 2/3*b**2 + 1/3*b**3 + 1/18*b**4. Solve q(r) = 0 for r.
-2, -1
Let z(q) be the first derivative of -9/40*q**5 - 1/4*q**3 - 3/8*q**4 + 2 - 1/20*q**6 + 2*q + 0*q**2. Let b(y) be the first derivative of z(y). Factor b(j).
-3*j*(j + 1)**3/2
Let c(u) = -2*u**4 + 2*u**3 - 6*u**2 - 6*u - 8. Let l(t) = 5*t**4 - 6*t**3 + 18*t**2 + 19*t + 23. Let q(i) = 11*c(i) + 4*l(i). Factor q(o).
-2*(o - 2)*(o + 1)**3
Let t be ((-2)/(-20))/(6/18). Let l(a) be the second derivative of -2*a + 0*a**2 - 1/15*a**6 - t*a**5 - 1/3*a**3 + 0 - 1/2*a**4. Factor l(m).
-2*m*(m + 1)**3
Let s(i) = 11 - 15*i**3 - 20*i**2 + 5*i**3 - 7 - 8*i. Let t(j) = 10*j**3 + 21*j**2 + 8*j - 3. Let x(b) = -3*s(b) - 4*t(b). Factor x(z).
-2*z*(z + 2)*(5*z + 2)
Let c be (-450)/42*14/4. Let u = c - -39. Suppose -1/2*q**2 - 1 + u*q = 0. Calculate q.
1, 2
Factor -24*r - r**4 + 20*r**2 - 1552*r**3 + 1560*r**3 - 3*r**4.
-4*r*(r - 3)*(r - 1)*(r + 2)
Let q(x) = x**3 + 7*x**2 + 3. Let l be 44/(-6) + (-1)/(-3). Let o be q(l). What is k in 2*k - 3*k**o - k**3 + 2*k**5 + 0*k**3 = 0?
-1, 0, 1
Let r(o) be the third derivative of -1/20*o**5 - 1/12*o**3 + 1/60*o**6 + 0 + 1/12*o**4 - 1/420*o**7 + 0*o + o**2. Determine p so that r(p) = 0.
1
Let h(f) be the second derivative of 0*f**5 + 1/180*f**6 + 1/3*f**3 - 1/12*f**4 + 0*f**2 - f + 0. Let n(a) be the second derivative of h(a). Factor n(d).
2*(d - 1)*(d + 1)
Let z(f) be the third derivative of -f**8/448 + f**7/280 + f**6/160 - f**5/80 - 3*f**2. Factor z(o).
-3*o**2*(o - 1)**2*(o + 1)/4
Let s(m) = m**2 - m + 1. Let x(h) = 2*h**4 - 16*h**3 + 47*h**2 - 51*h + 21. Let t(c) = -3*s(c) + x(c). Factor t(k).
2*(k - 3)**2*(k - 1)**2
Let i be 0/((-2 - -3)*-1). Determine l, given that 3*l**2 + 2*l + l**2 - 4*l**4 + i*l**2 - 2*l**5 = 0.
-1, 0, 1
Let b(c) = -c**2 - 7*c + 3. Let j be b(-6). Suppose j = 5*p - 6. Factor -3*s**4 + 0*s**p + 13 + 9*s**3 - 9*s - 3*s**2 - 7.
-3*(s - 2)*(s - 1)**2*(s + 1)
Let p(s) = 6*s**2 - 29*s + 24. Let d(j) = 4*j**3 + 2*j**2 - 2*j + 1. Let y be d(1). Let u(v) = 3*v**2 - 15*v + 12. Let g(i) = y*u(i) - 3*p(i). Factor g(k).
-3*(k - 2)**2
Let n(d) be the third derivative of -d**8/280 - d**7/112 - d**6/240 + d**3 - 7*d**2. Let v(u) be the first derivative of n(u). Factor v(c).
-3*c**2*(c + 1)*(4*c + 1)/2
Let k(m) be the second derivative of m**6/135 + m**5/45 - m**4/54 - 2*m**3/27 - 6*m. Factor k(s).
2*s*(s - 1)*(s + 1)*(s + 2)/9
Suppose 5*f - 35 = -s, 15 = 4*s - 2*f - 15. Suppose 2 = -2*y + s. Factor -p**4 + 3*p**4 + 2*p**3 - 2*p**2 + 2*p - y*p.
2*p*(p - 1)*(p + 1)**2
Let d = 9 + -7. Let p(l) be the third derivative of -1/10*l**5 + 0 + 1/120*l**6 - 4/3*l**3 + 2*l**d + 0*l + 1/2*l**4. What is f in p(f) = 0?
2
Let r(s) = 2*s - 17. Let p be r(7). Let a be (24/84)/((-1)/p). Factor 4/7 + 10/7*t - a*t**2.
-2*(t - 2)*(3*t + 1)/7
Let t(x) be the third derivative of -x**5/30 + x**4/4 - 2*x**3/3 + 2*x**2. Find n, given that t(n) = 0.
1, 2
Suppose -2*y - 1140 = -7*y. Let x be y/112 - (-4)/(-14). Determine r, given that -5/4*r + 1/4 - 3/4*r**3 + x*r**2 = 0.
1/3, 1
Let i(r) = -r**2 - 46*r - 88. Let h be i(-44). Factor h*l + 2/13*l**2 + 2/13*l**3 - 2/13*l**4 + 0 - 2/13*l**5.
-2*l**2*(l - 1)*(l + 1)**2/13
Let r(d) be the first derivative of -2*d**3/27 + 2*d**2/9 - 15. Solve r(x) = 0 for x.
0, 2
Let