b) be the first derivative of b**4/12 + 5*b**3/9 - b**2 - 62. Let o(s) = 0. What is s?
-6, 0, 1
Let j = -2/729 + 733/1458. Determine b, given that b + 3/2 - j*b**2 = 0.
-1, 3
Let t(i) be the first derivative of -i**6/9 + 4*i**5/15 + i**4/3 - 16*i**3/9 + 7*i**2/3 - 4*i/3 - 8. Factor t(h).
-2*(h - 1)**4*(h + 2)/3
Let d(c) be the first derivative of -2*c**6/21 - 2*c**5/35 - 8. Suppose d(u) = 0. What is u?
-1/2, 0
Let q(d) be the second derivative of -3*d + 0*d**2 - 1/6*d**3 + 1/12*d**4 + 0. Solve q(l) = 0.
0, 1
Let s(g) be the third derivative of g**6/120 - g**5/60 - g**2. Let z(m) = 8*m**3 - 11*m**2 + 3*m. Let t(f) = 5*s(f) - z(f). Factor t(w).
-3*w*(w - 1)**2
Let x = -1658/3 + 558. Factor x*r**3 + 2/3 + 40/3*r**2 + 17/3*r.
(r + 2)*(4*r + 1)**2/3
Let u = -110 + 114. Let j(t) be the first derivative of -1/15*t**5 + 0*t**u - 1/3*t + 3 + 0*t**2 + 2/9*t**3. Factor j(b).
-(b - 1)**2*(b + 1)**2/3
Let a(z) be the second derivative of -z**5/150 + z**4/60 + 2*z**3/15 - z**2 - 4*z. Let c(b) be the first derivative of a(b). Solve c(j) = 0 for j.
-1, 2
Let o be ((-1 - -2)*1)/(1/4). Let k(t) be the second derivative of 0 - 2*t + 0*t**3 - 1/24*t**o + 0*t**2. Factor k(i).
-i**2/2
Suppose 6/7*a**2 + 54/7*a + 24/7*a**5 - 18/7*a**4 - 78/7*a**3 + 12/7 = 0. Calculate a.
-1, -1/4, 1, 2
Let i = 11 + -5. Let k(u) = u**2 - 3*u. Let o(q) = -5*q**2 + 16*q. Let g(y) = i*o(y) + 33*k(y). Factor g(x).
3*x*(x - 1)
Let g = 3464/9 + -1154/3. Let v(u) = -u - 3. Let c be v(-3). Let g*s**3 + c + 2/9*s + 4/9*s**2 = 0. What is s?
-1, 0
Let d(v) = -4*v - 9. Let j be d(-6). Let s = 15 - j. Factor 0 + 1/3*g + s*g**2 - 1/3*g**3.
-g*(g - 1)*(g + 1)/3
Let w be (-2 - (-30)/12)/(-2 + 3). Factor 0 - w*a - 1/2*a**2.
-a*(a + 1)/2
Let i = 765/4 - 191. Factor 1/4*k**3 - i*k + 3/4*k**2 - 1/4*k**4 - 1/2.
-(k - 2)*(k - 1)*(k + 1)**2/4
Let v(m) be the third derivative of -m**7/70 - m**6/40 + 5*m**2. Factor v(k).
-3*k**3*(k + 1)
Let t(x) be the third derivative of 0*x + 0 + 1/240*x**6 - 1/60*x**5 - 5*x**2 + 1/48*x**4 + 0*x**3. Let t(c) = 0. Calculate c.
0, 1
Let m(q) = 6*q**2 + 4*q + 2. Let b(p) = 7*p**2 + 4*p + 3. Let w(d) = 5*b(d) - 6*m(d). Let y(l) = -l + 1. Let f(g) = w(g) - 3*y(g). Factor f(s).
-s*(s + 1)
Let v(r) be the second derivative of r**7/3780 - r**6/405 + r**5/108 - r**4/54 - r**3/2 + 3*r. Let z(t) be the second derivative of v(t). Factor z(c).
2*(c - 2)*(c - 1)**2/9
Let b(m) be the third derivative of -m**8/2184 - 2*m**7/1365 - m**6/780 + 12*m**2. Factor b(a).
-2*a**3*(a + 1)**2/13
Let v = -19/2 + 10. Factor 0 - 1/2*g**2 + 1/2*g**3 - 1/2*g + v*g**4.
g*(g - 1)*(g + 1)**2/2
Let y(n) be the first derivative of -1 + 1/7*n**2 + 0*n + 4/21*n**3. Factor y(h).
2*h*(2*h + 1)/7
Let o(b) be the third derivative of b**8/2352 - 3*b**7/245 + 107*b**6/840 - 33*b**5/70 - 9*b**4/14 + 36*b**3/7 - 31*b**2 - 2. What is c in o(c) = 0?
-1, 1, 6
Let w(n) be the first derivative of -n**4/3 + 8*n**2/3 + 8. Factor w(i).
-4*i*(i - 2)*(i + 2)/3
Factor 20*g**3 + 5 - 17*g**3 + 39*g + 13 + 10*g**2 + 14*g**2.
3*(g + 1)**2*(g + 6)
Let n = 3 + 4. Factor -4*m**2 + n*m**5 + 2*m**2 + 2*m**3 + 2*m**4 - 5*m**3 - 4*m**3.
m**2*(m - 1)*(m + 1)*(7*m + 2)
Let o(p) be the first derivative of 1/60*p**5 + 0*p + p**2 + 1/24*p**4 + 0*p**3 + 1. Let i(d) be the second derivative of o(d). Factor i(j).
j*(j + 1)
Let w(q) be the second derivative of q + 1/4*q**4 + 6*q**2 + 0 + 2*q**3. Factor w(a).
3*(a + 2)**2
Let p(a) be the second derivative of a**4/12 - 2*a**2 + 18*a. Factor p(c).
(c - 2)*(c + 2)
Suppose -t + 4*t - 30 = 0. Find g such that 10*g**2 - 2*g - 2*g + 8*g**5 + 3*g - t*g**4 - g - 6*g**3 = 0.
-1, 0, 1/4, 1
Let x be (3 - -3)/(4/86). Let y = x - 641/5. Solve 0*h + 2*h**4 + 6/5*h**3 + 0 - y*h**2 = 0.
-1, 0, 2/5
Let g = -12 - -16. Let u(h) be the third derivative of 0*h**3 + 0*h + 0*h**5 + 0 - 1/630*h**7 + 1/360*h**6 + 0*h**g - h**2. Factor u(l).
-l**3*(l - 1)/3
Let v(d) be the first derivative of -2 + 11/20*d**5 + 1/6*d**6 + 9/16*d**4 + 0*d + 1/12*d**3 - 1/8*d**2. Solve v(b) = 0 for b.
-1, 0, 1/4
Let t(j) = -j**4 + j**3 + 1. Let s(a) = -97*a**4 - 3*a**3 + 16*a**2 - 3. Let o = -27 - -30. Let c(f) = o*t(f) + s(f). Factor c(p).
-4*p**2*(5*p - 2)*(5*p + 2)
Let u(p) = p**2 - 10*p + 16. Let v be u(8). Let a(t) be the second derivative of 0*t**2 + 1/12*t**3 - 1/12*t**4 + 1/40*t**5 + v + t. Let a(d) = 0. What is d?
0, 1
Factor 2/3*x**3 - 8/3*x**2 - 8*x + 0.
2*x*(x - 6)*(x + 2)/3
Let j = -156 - -158. Let q(d) be the third derivative of -1/180*d**5 + 0*d + 3*d**j + 0 + 0*d**3 + 1/36*d**4. Factor q(f).
-f*(f - 2)/3
Suppose 9*z - 10 = 4*z. Factor 6*y**2 + 10*y - 2*y**z - 1 + 3 + 4*y**2.
2*(y + 1)*(4*y + 1)
Let t(g) be the third derivative of g**5/4 + 25*g**4/24 + 5*g**3/3 + 14*g**2. Factor t(u).
5*(u + 1)*(3*u + 2)
Let b be (-3 + 8)*-1*-1. Let -3*q**4 + 5*q**4 + 4*q**4 - b*q**4 + q**5 = 0. Calculate q.
-1, 0
Let q(p) = -p + 3. Let m be q(2). Let o(i) be the first derivative of -1/12*i**4 - m + 1/9*i**3 + 1/6*i**2 - 1/3*i. Suppose o(j) = 0. What is j?
-1, 1
Factor 2/17*y**4 + 16/17*y + 14/17*y**3 + 28/17*y**2 + 0.
2*y*(y + 1)*(y + 2)*(y + 4)/17
Let j(z) = -z**3 - 5*z**2 + 2. Suppose s + 25 = -4*s. Let r be j(s). Solve -11*t**4 - 2*t**r + 4*t**2 + 9*t**4 = 0 for t.
-1, 0, 1
Suppose 3*b = -19 + 19. Determine n, given that 1/4*n**4 + 0*n + 1/2*n**3 + b + 1/4*n**2 = 0.
-1, 0
Let l(h) be the second derivative of h**4/54 + 2*h**3/27 - h**2/3 - 2*h. What is d in l(d) = 0?
-3, 1
Let q(a) be the first derivative of -220*a**3 + 96*a**2 + 108*a**4 + 5 - 16*a - 8 + 13*a**4. Factor q(l).
4*(l - 1)*(11*l - 2)**2
Let r(x) = -x + 14. Let u be r(-6). Let b be (-1)/(u/8 + -4). Factor 2/3*q**4 - 2/3*q**3 - b*q**2 + 0 + 2/3*q.
2*q*(q - 1)**2*(q + 1)/3
Suppose -2*y + 4*n = -24, 7*n - 2*n + 17 = -4*y. Suppose 2 + y = 2*h. Determine a so that 4/9*a - 14/9*a**4 + 14/9*a**h - 4/9*a**3 + 0 = 0.
-1, -2/7, 0, 1
Suppose 0*r = 5*r - 10. Factor 0*z**r - z - z - 2*z**2 + 2*z**3 + 2.
2*(z - 1)**2*(z + 1)
Let x(c) = 3*c**3 + 3*c**2 + 3. Let p(o) = o**2 + o + 1. Let u(b) = 3*p(b) - x(b). Determine g, given that u(g) = 0.
-1, 0, 1
Let w(f) = -f**2 - 5*f + 5. Let b(h) be the first derivative of 2*h**3/3 + 6*h**2 - 12*h + 2. Let x(c) = 5*b(c) + 12*w(c). Factor x(g).
-2*g**2
Let g(l) = l**2 - 5*l + 2. Let u be 0 + -1 + -2*1. Let m = -2 - u. Let w(q) = q**2 + 1. Let p(d) = m*g(d) - 4*w(d). Factor p(n).
-(n + 1)*(3*n + 2)
Let g be (-120)/(-55) + 0 - 2. Factor 0*s + 4/11*s**2 + 0*s**3 - g*s**4 - 2/11.
-2*(s - 1)**2*(s + 1)**2/11
Let y be ((-4)/(-35))/(26/(-1905)). Let r = y + 120/13. Factor -2/7*v**3 - 2/7 - 6/7*v - r*v**2.
-2*(v + 1)**3/7
Let -2*n**4 - 79*n**2 + n + 89*n**2 - 7*n - 2*n**3 = 0. Calculate n.
-3, 0, 1
Let l be 7/(-28)*(-12)/20. Let h(u) be the second derivative of -2*u + 2/35*u**6 + 0*u**2 + 1/14*u**3 - l*u**5 + 1/14*u**4 + 0. Suppose h(c) = 0. Calculate c.
-1/4, 0, 1
Let z be 0 + 2/8 - 26/120. Let q(o) be the second derivative of -o + 2/3*o**3 + 2/3*o**4 + 0 + 0*o**2 + z*o**6 + 1/4*o**5. Factor q(f).
f*(f + 1)*(f + 2)**2
Let x be 21*((2 - 2) + -1). Let g be (-70)/x + (-2)/(-3). Solve 0 + 0*c**2 + 0*c + 1/4*c**3 + 0*c**g - 1/4*c**5 = 0 for c.
-1, 0, 1
Let x(w) = 3*w**4 - 3*w**3 - 3*w**2. Let g(c) = -6*c**4 + 6*c**3 + 6*c**2 + c. Let r = -21 + 24. Let l(z) = r*g(z) + 7*x(z). Suppose l(s) = 0. Calculate s.
-1, 0, 1
Suppose -28*o + 24 = -16*o. Factor -1/5*c**5 - 2/5*c**4 + 0*c**o + 0 + 0*c - 1/5*c**3.
-c**3*(c + 1)**2/5
Let l(s) = 9*s - 5*s**2 + 6*s - 3 + 4*s**2 - 7*s. Let c be l(7). Suppose -9*y**c - y**2 - 4*y**2 + 14*y**3 - y**2 + y**3 = 0. Calculate y.
0, 2/3, 1
Suppose d = 14 + 6. Determine s so that -10*s - 2*s**5 - 6*s**2 + 10*s**4 + 3*s**2 + 15*s**2 + 2 + 8*s**2 - d*s**3 = 0.
1
Let a be -3 - -3 - (1 - 5). Suppose -2*z = -4*z + a. Factor -5*w + 0*w**z - 6*w**3 + 8*w**2 + 3*w.
-2*w*(w - 1)*(3*w - 1)
Let i(t) = 2*t**5 - 8*t**4 + 4*t**2 - 2*t - 4. Let d(v) = -v**5 + 7*v**4 - v**3 - 5*v**2 + 2*v + 4. Let r(k) = -4*d(k) - 3*i(k). Solve r(j) = 0 for j.
-2, -1, 1
Let k be (-20)/105*1/10. Let i = 64/315 - k. Let 0 - i*t**2 + 26/9*t**4 + 2*t**3 - 4/9*t + 10/9*t**5 = 0. Calculate t.
-1, 0, 2/5
Determine x so that 9*x**2 - 100*x**3 - 6*x - 3*x**4 + 46*x**3 + 54*x**3 = 0.
-2, 0, 1
Suppose 2/7*v**3 + 0 + 2/7*v + 4/7*v**2 = 0. What is v?
-1, 0
Factor -154*x**2 + 160*x**2 - 3