- 3*s + 4*s = -8. Let v(l) = 4*l + 0 + x + 4 - 6. Let g(k) = k**2. Let z(p) = -4*g(p) + v(p). Factor z(m).
-(2*m - 1)**2
Let c(r) be the second derivative of -r**4/4 + r**3/2 - 10*r. Find b, given that c(b) = 0.
0, 1
Let u(o) be the first derivative of -2*o**3/45 - 28*o**2/15 - 392*o/15 - 43. Factor u(a).
-2*(a + 14)**2/15
Let v(f) be the second derivative of 0*f**3 + 0*f**2 + 1/24*f**7 + f + 0*f**4 - 1/40*f**5 + 0 + 1/24*f**6. Suppose v(l) = 0. What is l?
-1, 0, 2/7
Let b = -76/7 - -712/63. Let x(q) be the first derivative of -2/45*q**5 + 4/9*q**2 + 2/9*q**4 - b*q**3 - 4 - 2/9*q. Let x(n) = 0. What is n?
1
Suppose 4*o - 14 - 10 = 0. Let h be (o/9)/2*12. Factor 1/5*m**4 + 18/5*m**2 + 8/5 + h*m + 7/5*m**3.
(m + 1)*(m + 2)**3/5
Let i = -1001 - -1003. Solve 2/9*g - 4/9*g**i + 2/9*g**3 + 0 = 0 for g.
0, 1
Let q = -358/7 - -52. Determine t so that 2/7*t**2 + q*t + 4/7 = 0.
-2, -1
Factor -12/7*h + 12/7*h**4 + 4/7*h**5 + 8/7*h**3 - 4/7 - 8/7*h**2.
4*(h - 1)*(h + 1)**4/7
Suppose 0*z = -2*z - 366. Let q = -1277/7 - z. Let 0 + 0*o - 2/7*o**3 + q*o**2 = 0. Calculate o.
0, 2
Let y be (-4)/(-14) - 1034/(-154). Factor 2*n**3 + 7/2*n**5 - 8*n**4 + 1 + y*n**2 - 11/2*n.
(n - 1)**3*(n + 1)*(7*n - 2)/2
Let k(d) be the second derivative of d**7/147 - 2*d**6/105 + d**4/21 - d**3/21 + 5*d. Solve k(z) = 0 for z.
-1, 0, 1
Let i(g) = g**2 - 2*g - 1. Let h be i(3). Suppose k + 3*k**2 + 4*k - 2*k**h - 3*k = 0. Calculate k.
-2, 0
Suppose -t = -2*q + 5*q - 10, -4*t - 4*q = -8. Let p be (-2)/3 + t/(-3). Factor -2*n**3 + p + 0.
-2*n**3
Let k(j) = 2*j**3 + 16*j**2 + 15*j + 11. Let l be k(-7). Suppose -1/5*r**3 + 3/5*r**2 + 2/5*r + 0 - 1/5*r**5 - 3/5*r**l = 0. What is r?
-2, -1, 0, 1
Factor 1/5*r**3 - 1/5*r**4 + 3/5*r**2 + 2/5 - r.
-(r - 1)**3*(r + 2)/5
Let g(y) be the first derivative of 3/10*y**5 - 1/6*y**3 + 7/4*y**2 - 7/8*y**4 - y - 3. What is m in g(m) = 0?
-1, 1/3, 1, 2
Let j(d) = d**2. Let b(v) = 4*v**2 + 2*v - 3. Let o(a) = -5*b(a) + 15*j(a). Suppose o(m) = 0. Calculate m.
-3, 1
Let g = 80 - 78. Factor 0 - 2/3*o - 2/3*o**g.
-2*o*(o + 1)/3
Let t(r) be the second derivative of r**5/10 - r**4/2 + r**3 - r**2 - 5*r. Let t(p) = 0. Calculate p.
1
Let q(i) be the first derivative of 4*i**3/9 - 44*i**2/3 + 484*i/3 - 20. Factor q(v).
4*(v - 11)**2/3
Let m = -3 + 2. Let h = 1 - m. Suppose -h*z + z**3 + 2*z = 0. What is z?
0
Let o(z) be the second derivative of -z**5/110 + 5*z**4/66 + 13*z**3/33 + 7*z**2/11 - 63*z. Solve o(i) = 0 for i.
-1, 7
Factor 0 - 4/3*l + 2/3*l**2.
2*l*(l - 2)/3
Let z(n) be the first derivative of 3*n**4/16 - n**3/2 + 3*n**2/8 - 5. Let z(x) = 0. Calculate x.
0, 1
Suppose -2*z + 15 = 11. Suppose b**3 + b**2 + z*b**4 - 3*b**4 - b**3 = 0. Calculate b.
-1, 0, 1
Let n = -817/7 + 117. Factor 0*b**2 - 2/7*b + 0 + 0*b**4 - n*b**5 + 4/7*b**3.
-2*b*(b - 1)**2*(b + 1)**2/7
Let k(m) be the third derivative of -1/30*m**6 + 5/12*m**4 - 2/3*m**3 - 1/30*m**5 + 0*m - 5*m**2 + 0. Factor k(f).
-2*(f - 1)*(f + 2)*(2*f - 1)
Find p such that 20*p**3 - 7*p**4 - 8 + 3*p**4 - 4*p - 16*p**3 + 12*p**2 = 0.
-1, 1, 2
Let x = 714 - 709. Factor 5/7*m**x - 11/7*m**2 + 2/7*m + 0 + 3*m**3 - 17/7*m**4.
m*(m - 1)**3*(5*m - 2)/7
Let n(l) be the first derivative of -l**4/34 + 3*l**2/17 - 4*l/17 - 5. Factor n(o).
-2*(o - 1)**2*(o + 2)/17
Let p = 36/115 + 2/23. Let y be (-2)/9 - ((-34)/(-90) + -1). Factor p*w**2 + y*w + 0.
2*w*(w + 1)/5
Let g(b) be the first derivative of 0*b - 1/2*b**2 - 3 + 1/3*b**3. Factor g(i).
i*(i - 1)
Let m be (-153)/(-45) + -3 + (-1)/5. Solve 2/5*s - 1/5*s**2 - m*s**3 + 0 = 0 for s.
-2, 0, 1
Let f = 609/2 - 303. Find v such that 0 + 1/4*v**4 - 9/8*v**3 - 1/2*v + 3/8*v**5 - f*v**2 = 0.
-1, -2/3, 0, 2
Suppose 5*d - 25 = 0, 0*d = -3*y + d + 1. Let k be (-2 + 1 + y)*7. Factor k*g + 4 + 4*g - 12 - 2*g**2 - 3*g.
-2*(g - 2)**2
Let b(o) be the third derivative of -o**6/840 - o**5/105 - 5*o**4/168 - o**3/21 - 3*o**2. Factor b(l).
-(l + 1)**2*(l + 2)/7
Suppose -b + 8 = 3*b. Solve -5*k**2 + 3 + 3*k - 3*k**2 - 3*k**3 + 5*k**b = 0.
-1, 1
Solve 70*u**2 + 4*u - 7*u**3 - 66*u**2 + 8*u**3 = 0 for u.
-2, 0
Let i = 18 + -10. Let h be i/30 - (-6)/15. Solve 1/3 + h*u + 1/3*u**2 = 0 for u.
-1
Let h be 24/9*(-3)/(-2). Let u = h - 1. Factor -p + 2*p**3 + p**2 - 1 + 0*p**3 - p**u.
(p - 1)*(p + 1)**2
Let o(v) be the third derivative of v**5/40 - v**4/16 + 51*v**2. What is r in o(r) = 0?
0, 1
Let w(c) = c**3 - 4*c**2 + 10*c - 6. Let g(i) = -2*i**3 + 8*i**2 - 19*i + 11. Let v be (-97)/9 + (-10)/45. Let t(z) = v*w(z) - 6*g(z). Solve t(n) = 0.
0, 2
Let q be (-6)/(-4) - 15/(-2). Let d(m) = -2*m**2 + 5. Let o(f) = -3*f**2 + 9. Let g(y) = q*d(y) - 5*o(y). Suppose g(b) = 0. What is b?
0
Determine g, given that 2/15*g**2 - 8/15*g + 8/15*g**3 - 2/15 = 0.
-1, -1/4, 1
Let i(q) be the second derivative of 0 - 2/3*q**3 + 1/5*q**5 - 9*q + 1/3*q**4 - 2*q**2. Solve i(j) = 0 for j.
-1, 1
Let c(w) = 3*w - 6. Let x(q) be the third derivative of -q**6/120 + q**5/60 + q**3/6 - 2*q**2. Let r(i) = -c(i) - 3*x(i). Factor r(f).
3*(f - 1)**2*(f + 1)
Let t(u) be the first derivative of 64/21*u**3 - 1 + 11/2*u**4 + 4/7*u**2 + 0*u + 14/5*u**5. Factor t(i).
2*i*(i + 1)*(7*i + 2)**2/7
Let w = 133 + 15. Let v = -1034/7 + w. Factor -v*h**4 - 2/7 + 0*h**3 + 0*h + 4/7*h**2.
-2*(h - 1)**2*(h + 1)**2/7
Let i(t) be the first derivative of -1/720*t**6 + 0*t**4 + 0*t**5 + 1/3*t**3 + 0*t**2 + 0*t + 1. Let g(f) be the third derivative of i(f). Factor g(j).
-j**2/2
Solve 0*d + 0 + 4/7*d**4 - 6/7*d**3 + 0*d**2 + 2/7*d**5 = 0.
-3, 0, 1
Let s(g) be the first derivative of g**7/15 + 2*g**6/75 - 7*g**5/50 - g**4/15 + g - 5. Let i(n) be the first derivative of s(n). Let i(b) = 0. What is b?
-1, -2/7, 0, 1
Let u(m) = m + 13. Let c be u(-11). What is g in -4*g**3 + 5*g**4 - 10*g**4 + c*g**2 + g**3 = 0?
-1, 0, 2/5
Let b = -2/37 - -174/481. Let n = b + 1/39. What is r in 2/3*r - 2/3*r**3 + 0*r**2 + 1/3 - n*r**4 = 0?
-1, 1
Let u(c) be the first derivative of -6*c**5/5 + c**4 + 26*c**3/3 - 8*c**2 - 8*c - 13. Find x, given that u(x) = 0.
-2, -1/3, 1, 2
Let z = -621/2 - -312. Let -z*a + 9/4 + 1/4*a**2 = 0. Calculate a.
3
Find r such that 12*r**2 + 0*r**3 - 3*r**3 - r**3 - 8*r = 0.
0, 1, 2
Let f(a) be the first derivative of 3*a**4/4 + a**3 + 18. Solve f(h) = 0.
-1, 0
Solve -6 + 2 + 6 + 5*a - 3 - 5*a**4 + 10*a**3 - 10*a**2 + a**5 = 0.
1
Let b(l) be the first derivative of -l**5/20 + 7*l**4/8 - 49*l**3/12 - 24. Factor b(g).
-g**2*(g - 7)**2/4
Let v(g) = -g**3 + g**2 + g - 1. Let i(n) = -2*n**4 - 2*n**3 + 4*n**2 + 2*n - 2. Let j(a) = 2*i(a) - 4*v(a). Factor j(p).
-4*p**2*(p - 1)*(p + 1)
Let x = -110 - -316. Let p = x + -1026/5. Let 0 - 2/5*l**3 + p*l**2 - 2/5*l = 0. What is l?
0, 1
Solve -4*s**4 + 9*s**2 + 0*s**2 + 4 - 40 - s**2 + 48*s - 16*s**3 = 0 for s.
-3, 1
Let w(p) = 4*p**2 - 1. Let g(n) = 4*n**2. Let j(a) = 3*g(a) - 4*w(a). Factor j(q).
-4*(q - 1)*(q + 1)
Let q(a) be the third derivative of -a**7/42 - a**6/24 + a**5/6 + 4*a**2 - 2*a. Determine x, given that q(x) = 0.
-2, 0, 1
Let p(s) = -4*s**3 - 4*s**2 + 4*s + 4. Let w(a) = 5*a**3 + 5*a**2 - 5*a - 5. Let j(t) = -6*p(t) - 4*w(t). Suppose j(m) = 0. Calculate m.
-1, 1
Let u(c) = -c**4 - c**3 - c**2 - c. Let s(x) = x**4 + 31*x**3 - 29*x**2 + 21*x. Let r(g) = s(g) + 6*u(g). Factor r(q).
-5*q*(q - 3)*(q - 1)**2
Factor -2*h**2 - 50*h + 14*h + 15*h + 27*h + 20.
-2*(h - 5)*(h + 2)
Let q(d) = -4*d**2 - 4*d - 2. Let x(u) = -u**2. Let c = 3 + -1. Let z = 3 - c. Let p(n) = z*q(n) - 2*x(n). Factor p(g).
-2*(g + 1)**2
Suppose v - 5*v + 32 = 0. Let m be (-2)/v + 36/16. Factor 5/4*j**3 - 1/2*j + 3/4*j**m + 0.
j*(j + 1)*(5*j - 2)/4
Find m, given that 0*m**2 - 4/3*m**3 + 0*m - 2/3*m**4 + 0 = 0.
-2, 0
Let u(s) be the third derivative of 0*s + 0 - 1/180*s**5 + 1/9*s**3 + 4*s**2 - 1/72*s**4. Factor u(h).
-(h - 1)*(h + 2)/3
Solve -20/7*k**2 + 0*k - 24/7*k**3 + 0 - 4/7*k**4 = 0.
-5, -1, 0
Suppose -5*f - 5 = -3*d, 0 = -4*f - d - 3*d + 28. Solve 3*a**2 - 4*a**2 + f*a - a**2 = 0.
0, 1
Let l be 4/10 - 18/(-5). Determine k so that -k**2 - 1 - k**l + 0*k**2 + 3*k**2 = 0.
-1, 1
Let x = -2 - -4. Determine h, given that h**3 - x*h**3 - 2*h**5 - h**4 + 3*h**5 + h**2 = 0.
-1, 0, 1
Let -12*v**2 + 3*v - 6*v**3 + 6 + 7*v**5 + 3*v**5 + 6*v**4 - 7*v**5 = 0. Calculate v.
-2, -1, 1
Let q(x) be the third derivative of x**5/60 + x**4/6 