3 - j*s**3 + 1/12*s**4. Factor l(d).
(d - 1)**2*(d + 1)/3
Factor -3/8*q**2 + 1/2 + 1/2*q.
-(q - 2)*(3*q + 2)/8
Determine s so that 15*s**2 - 4*s**4 - 4*s**3 + 2*s**5 + s**2 - 12*s + 6 - 2 - 2*s = 0.
-2, 1
Let t(d) be the first derivative of 0*d + 3 + 0*d**4 + 3*d**2 - 3/5*d**5 + 3*d**3. Let t(q) = 0. What is q?
-1, 0, 2
Let q be 3 + 18/12*2/(-1). Let n(w) be the first derivative of -1/8*w**4 - 1/12*w**3 + 0*w**2 + q*w - 3 - 1/20*w**5. Factor n(l).
-l**2*(l + 1)**2/4
Let p = 103 + -101. Let m(h) be the first derivative of 0*h - 2/15*h**5 - 2/3*h**2 + 1/3*h**4 + 2/9*h**3 - p. Solve m(s) = 0.
-1, 0, 1, 2
Suppose 5*h + 540 = 9*h. Let q be (h/(-12))/((-6)/4). Suppose 3*d**2 + q*d**3 - 3 - 15/2*d = 0. Calculate d.
-1, -2/5, 1
Solve -2/11*g**5 + 14/11*g**4 + 0*g + 0 - 32/11*g**2 - 16/11*g**3 = 0.
-1, 0, 4
Let n(t) be the first derivative of t**4/5 - 22. Find f, given that n(f) = 0.
0
Let q = 612 - 10402/17. Find p such that -2/17*p**2 + 0 - q*p = 0.
-1, 0
Factor -1/2*o**3 + 3/2*o - 1 + 0*o**2.
-(o - 1)**2*(o + 2)/2
Let u(f) be the first derivative of 0*f - 2/3*f**3 + f**2 - 3. Suppose u(p) = 0. Calculate p.
0, 1
Factor 18*r - 5*r**2 - 27 + 0*r**2 + 2*r**2.
-3*(r - 3)**2
Let p(v) be the third derivative of v**6/90 + v**5/10 + v**4/3 - 5*v**3/6 - 9*v**2. Let d(u) be the first derivative of p(u). Solve d(w) = 0 for w.
-2, -1
Let z be (-6)/(-9)*(-1)/(-2). Let j be (-4)/(-9)*6/4. Solve -j*n**2 - 1/3*n + 0 - z*n**3 = 0 for n.
-1, 0
Let n be (-2)/(-30)*592 - (-14)/(-21). Solve 32/5*s**4 + 144/5*s**3 + n*s**2 + 8/5 + 72/5*s = 0.
-2, -1/4
Let m(r) = r + 17. Let l be m(-16). Let b(v) be the first derivative of -2*v + l - 1/6*v**3 - v**2. Factor b(z).
-(z + 2)**2/2
Let m(k) be the first derivative of -2 + 1/2*k**4 - k**2 + 2*k - 2/3*k**3. What is l in m(l) = 0?
-1, 1
Let p(f) be the second derivative of f**4/36 + f**3/6 + 8*f + 4. What is n in p(n) = 0?
-3, 0
Let r = -23 - -23. Factor 0*a**3 - 1/5*a**4 - 1/5 + r*a + 2/5*a**2.
-(a - 1)**2*(a + 1)**2/5
Let o = -2 + 5. Suppose -s = -5 + o. Determine c so that 4*c**5 - 14/3*c**4 + s*c**2 + 2/3*c + 0 - 2*c**3 = 0.
-1/2, -1/3, 0, 1
Let v(o) = 7*o**3 + 2*o - 1. Let k be v(1). Suppose 4*n - 2*j = 4, 5*j - 13 = -2*n + 1. Factor 2*z**n - 2*z**5 + 6*z**2 + k*z**4 + z - 12*z**3 - 3*z.
-2*z*(z - 1)**4
Let g be (-81)/7 + (-12)/(-21). Let h be (-17)/(-33) + 2/g. Factor 0 - 1/3*v**3 - h*v**2 + 0*v + 1/3*v**5 + 1/3*v**4.
v**2*(v - 1)*(v + 1)**2/3
Let c(x) be the second derivative of -3*x**5/20 + x**3/2 - 3*x. Determine p so that c(p) = 0.
-1, 0, 1
Let s(w) be the third derivative of w**7/105 + w**6/60 - 3*w**5/10 + 11*w**4/12 - 4*w**3/3 - 58*w**2. Let s(t) = 0. What is t?
-4, 1
Let m = 18 - 16. Suppose 2*f = f + m. Factor -2/5 + 4/5*l - 2/5*l**f.
-2*(l - 1)**2/5
Let k(i) be the first derivative of 21*i**5/5 - 195*i**4/4 + 207*i**3 - 729*i**2/2 + 162*i - 23. Let k(j) = 0. Calculate j.
2/7, 3
Factor -3*d**4 + 3*d**2 + 6*d**2 + 6 + 23*d - 4*d**3 + d**3 - 8*d.
-3*(d - 2)*(d + 1)**3
Find j such that 3*j**2 + 3*j**4 + 14*j + 9*j**3 + 5*j - 28*j - 6 = 0.
-2, -1, 1
Let j be (-2)/(-10) + (-295)/(-25). Let x be (-1)/j - (-2)/6. Let 5/4*n + 2*n**2 + n**3 + x = 0. Calculate n.
-1, -1/2
Factor -9/10 + 13/10*w - 2/5*w**2.
-(w - 1)*(4*w - 9)/10
Let f(k) be the third derivative of -k**8/210 + k**7/525 + 8*k**2. Factor f(j).
-2*j**4*(4*j - 1)/5
Suppose -9*o = -4*o. Suppose o = -n - 3*n + 16. Factor -3/4*i**2 + 0 - 1/4*i**n + 1/4*i + 3/4*i**3.
-i*(i - 1)**3/4
Let i be 5/2 + 3 + (-25)/10. Let l(q) be the second derivative of 0*q**2 + 1/42*q**4 + q - 1/70*q**5 + 0 + 0*q**i. Factor l(a).
-2*a**2*(a - 1)/7
Let z(c) be the first derivative of -3*c**5/25 + 3*c**4/10 - c**3/5 - 29. Solve z(x) = 0.
0, 1
Let l(x) be the first derivative of -x**3 + 0*x - 2 + 0*x**2 - 15/4*x**4 - 15/4*x**5. Factor l(c).
-3*c**2*(5*c + 2)**2/4
Let r(w) = -7 - 7*w**3 + 8*w**3 - 15*w - 27*w**2 + 11*w**3. Let b(z) = -12*z**3 + 26*z**2 + 14*z + 6. Let j(v) = -7*b(v) - 6*r(v). Factor j(g).
4*g*(g - 2)*(3*g + 1)
Suppose 2*u = -5*x + u + 19, -28 = -4*x - 4*u. What is d in 1/3*d + 5/6*d**2 - 1/3*d**x + 0 - 5/6*d**4 = 0?
-1, -2/5, 0, 1
Determine r, given that 0*r + 0 + 1/4*r**2 = 0.
0
Determine k so that -3*k**4 + 4*k**4 - 2 - 2*k**4 - k + 3*k**2 + k**3 = 0.
-1, 1, 2
Let v = 15 - 11. Let u = v + -2. Find r such that 0*r**2 + 2*r**4 + 0*r**2 + 0*r**2 + u*r**3 = 0.
-1, 0
Let n(b) be the first derivative of -4*b**5/5 + b**4 + 20*b**3/3 + 6*b**2 - 36. Let n(g) = 0. Calculate g.
-1, 0, 3
Let z(r) = -r**3 + 3*r**2 + 6*r - 5. Let h be z(4). Suppose -8 + 2 = -h*m. Factor s + 3*s**3 + 3*s**m + s**4 - 4*s + 4*s.
s*(s + 1)**3
Let r be 1 - (-2)/(-6) - 0. Let d(s) be the first derivative of 3 - r*s**3 + 0*s**2 + 0*s. Solve d(z) = 0.
0
Let c be (2/(-56))/(30*(-2)/8). Let x(o) be the third derivative of 0*o + c*o**5 + 0*o**4 + 0 + 3*o**2 + 0*o**3. Find a such that x(a) = 0.
0
Let w(b) be the second derivative of 2*b**7/21 - 3*b**5/5 + 2*b**4/3 + b. Factor w(k).
4*k**2*(k - 1)**2*(k + 2)
Suppose 0*k**3 - 3*k**5 - 8*k**4 - 6*k**3 + k**5 = 0. Calculate k.
-3, -1, 0
Let m = 2 + 5. Suppose 2*w + 3*o + 8 = 0, -4*o = -m + 23. Factor 0 - 1/4*h**w + 0*h + 1/4*h**4 + 0*h**3.
h**2*(h - 1)*(h + 1)/4
Let r(i) be the first derivative of 529*i**3/7 + 138*i**2/7 + 12*i/7 - 25. Factor r(l).
3*(23*l + 2)**2/7
Let m(b) = -b**4 + b**3 - 11*b**2 - b + 4. Let l(t) = t**4 - 2*t**3 + 10*t**2 - 3. Let i(f) = 4*l(f) + 3*m(f). Determine x, given that i(x) = 0.
0, 1, 3
Let u be (6/(-21))/((-4)/28). Let 0 + 2/7*f**3 + 0*f**u - 2/7*f = 0. What is f?
-1, 0, 1
Let o = 7 - 2. Suppose -45 = -5*b + o*i, -2*b + 3*i = -b - 19. Factor b*y**4 - y**5 + 2*y**5 - 2*y**4 - y**4.
y**4*(y + 1)
Let m(u) be the second derivative of -1/12*u**3 + 1/8*u**4 + 0*u**2 + 0 + 1/60*u**6 - 4*u - 3/40*u**5. Let m(y) = 0. Calculate y.
0, 1
Let u(f) = -f**3 - 7*f**2 - 5*f + 14. Let l be u(-6). Determine o so that -21*o**2 + 25*o**2 + l*o + 5 - 1 = 0.
-1
Let n(h) = -35*h**4 + 111*h**3 + 110*h**2 - 40*h - 4. Let b(f) = 70*f**4 - 223*f**3 - 220*f**2 + 80*f + 7. Let y(a) = 4*b(a) + 7*n(a). Factor y(w).
5*w*(w - 4)*(w + 1)*(7*w - 2)
Let z(s) be the first derivative of -s**4/10 - 8*s**3/5 - 48*s**2/5 - 128*s/5 + 12. Let z(l) = 0. What is l?
-4
Let j(b) = -b**3 + 6*b**2 - 2*b - 2. Let m be j(2). Suppose -2*i + m = 3*i. Factor 8*r**3 + r - i*r**4 + 5*r - 12*r**2 - 2 + 2*r + 0*r.
-2*(r - 1)**4
Let c(l) = 6*l**2 + 11*l + 5. Let g(h) = -h**2 - 2*h - 1. Suppose -6 = -3*d - 24. Let z = d - -4. Let b(y) = z*c(y) - 11*g(y). Find u such that b(u) = 0.
-1, 1
Let r(l) be the second derivative of l**4/36 - 4*l**3/3 + 24*l**2 - 3*l. Determine u so that r(u) = 0.
12
Determine n so that 14/3*n**4 + 0 + 2/3*n**5 + 12*n**3 + 16/3*n + 40/3*n**2 = 0.
-2, -1, 0
Suppose 3*x = 8*x + u, 0 = -x + 3*u. Suppose -3*n = -x*w - 4*w + 13, 18 = 2*n + 4*w. Determine z so that -1/2*z**3 - z**2 + 1/2*z + n = 0.
-2, -1, 1
Let u(v) be the first derivative of -v**5/35 + v**4/28 + 44. Factor u(l).
-l**3*(l - 1)/7
Suppose 21 - 105 = -7*o. Suppose -23 = -5*g - 2*q, 5*q - 2*q - o = 0. Determine s, given that -4/7*s + 0*s**2 + 4/7*s**g - 2/7 + 2/7*s**4 = 0.
-1, 1
Let f be -3*(4/(-6) + -1). Factor -1/4*g**f + g**4 + 0 + g**2 - 3/2*g**3 - 1/4*g.
-g*(g - 1)**4/4
Suppose 11 + 4 = -b - s, -5*b - 3*s - 69 = 0. Let m = -12 - b. Determine x, given that -1/2*x + m + x**2 - 1/2*x**3 = 0.
0, 1
Suppose 79/3*t**3 - 19/3*t + 2/3 + 80*t**5 + 14*t**2 - 344/3*t**4 = 0. What is t?
-2/5, 1/4, 1/3, 1
Factor -110*a**2 + 31/3*a**3 + 1300/3*a - 1/3*a**4 - 1000/3.
-(a - 10)**3*(a - 1)/3
Let v be ((-30)/9)/(-5) - 90/(-108). Factor 3/2*z + 0 - v*z**2.
-3*z*(z - 1)/2
Let o be ((-3)/(-2))/((-5)/(-10)). Let q(r) be the second derivative of -1/50*r**5 + 0 + 0*r**2 + 1/15*r**o + 0*r**4 + 3*r. Factor q(n).
-2*n*(n - 1)*(n + 1)/5
Suppose -16 = -4*l + 4*i, -2*i + 8 = -4*l + 22. Factor 2*g - l*g - g**2 + 0 + 3*g - 1.
-(g - 1)**2
Let q(g) = g**2 + g + 1. Let w(i) = 9*i**2 + 4*i + 4. Let t(y) = 4*q(y) - w(y). Suppose t(s) = 0. Calculate s.
0
Let u be (-5 + 26/4)/((-3)/(-8)). Find s such that 2*s**2 - 4/5*s**3 - 1/5*s - 2/5 + s**5 - 8/5*s**u = 0.
-1, -2/5, 1
Suppose -2*c + 12 = -0*c. Let x(b) be the third derivative of 1/315*b**7 - 1/9*b**4 + 0 - 4/9*b**3 + 2*b**2 + 1/45*b**c + 0*b + 1/30*b**5. Factor x(s).
2*(s - 1)*(s + 1)*(s + 2)**2/