ine b, given that n(b) = 0.
3
Factor 0*b**3 + 4*b**3 - 5*b**4 + 30*b**2 + b**3.
-5*b**2*(b - 3)*(b + 2)
Let o = 3 - 1. Suppose 3*d + w = 10, -3*d = -0*d - o*w - 16. Determine p so that -d*p**5 - 2*p**5 + 4*p**5 + 2*p**3 = 0.
-1, 0, 1
Let t(i) be the third derivative of 0 + 0*i + 0*i**3 - 1/5*i**5 - 1/3*i**4 - 2*i**2. Factor t(a).
-4*a*(3*a + 2)
Let c(w) be the first derivative of -35*w**6/6 - 5*w**5 + 45*w**4/4 + 25*w**3/3 - 5*w**2 - 1. Suppose c(i) = 0. What is i?
-1, 0, 2/7, 1
Let p(n) be the second derivative of -n**7/14 - 2*n**6/15 + n**5/20 + n**4/6 - 16*n. Determine d, given that p(d) = 0.
-1, 0, 2/3
Let d(i) be the first derivative of 2/35*i**5 + 3/14*i**4 + 1 + 2/7*i**3 + 0*i + 1/7*i**2. Factor d(h).
2*h*(h + 1)**3/7
Suppose -3/2*o**3 + 0 - 15/4*o**4 + 15/4*o**2 + 3/2*o = 0. What is o?
-1, -2/5, 0, 1
Let v = 2 + 2. Suppose v*z = -f - 20, 4*z - 8*z = 3*f + 20. Determine p so that f*p + 0 - 1/4*p**2 = 0.
0
Let z = -54931/364 + 1992/13. Let t = 18/7 - z. Let -t*b**4 + 0*b**2 + 0 - 1/2*b**5 + 0*b + 0*b**3 = 0. Calculate b.
-1/2, 0
Let o(c) be the first derivative of 2/3*c**3 + 0*c**2 + 2*c + 1/15*c**6 + 2/5*c**5 + 2 + 5/6*c**4. Let d(j) be the first derivative of o(j). Solve d(p) = 0.
-2, -1, 0
Suppose -4*r - w + 15 = 0, 4*w - 6 = -2*r - 2. Factor 0 + 0*g - 2/7*g**r + 0*g**2 + 0*g**3.
-2*g**4/7
Let g(l) be the second derivative of -l**6/50 + 3*l**5/20 - l**4/5 - 25*l. Solve g(h) = 0.
0, 1, 4
Let b(z) = z**3 - 3*z + 2. Let n be b(2). Factor 5*m**2 - m**n + 4*m**3 - 3*m**2 + 3*m**4.
2*m**2*(m + 1)**2
Let w = 4734/11 + -430. Determine o so that 0*o**2 + 0 + w*o**3 + 10/11*o**4 + 0*o = 0.
-2/5, 0
Let 46*h**2 - 33*h - h**2 - 21*h**3 + 3*h**2 + 0 + 6 = 0. Calculate h.
2/7, 1
Let h be 19 + (-2 + 1 - -3). Let z be 1/(h/3) + 1. Find b such that -z + 78/7*b**2 - 8/7*b**3 + 8/7*b - 10*b**4 = 0.
-1, -2/5, 2/7, 1
Let p = 90 - 85. Let u(t) be the second derivative of 0 + 1/15*t**7 - t + 3/25*t**6 + 0*t**4 + 0*t**3 + 0*t**2 + 1/25*t**p. Let u(s) = 0. Calculate s.
-1, -2/7, 0
Let n(z) be the first derivative of 1/4*z**4 + 0*z**2 + 3 + 0*z + 0*z**3. Factor n(x).
x**3
Let g be 1 + ((-6)/(-6) - (1 - 1)). Find k, given that 1/2 + 1/2*k**3 - 1/2*k**g - 1/2*k = 0.
-1, 1
Let v be 1 + 2 + -2 + 1. Suppose v*w - 2 = w. Factor -w*n**2 + 0*n - n**4 + 2*n**4 + 1 + 0*n.
(n - 1)**2*(n + 1)**2
Let f(w) be the first derivative of w**6/24 + w**5/4 + 5*w**4/8 + 5*w**3/6 + 5*w**2/8 + w/4 - 17. Factor f(c).
(c + 1)**5/4
Let n(f) be the first derivative of -f**5/5 + f**4 - 4*f**3/3 + 11. Determine o so that n(o) = 0.
0, 2
Let o be 110/33 - 2/(-3). Let m(r) be the second derivative of -r + 1/60*r**5 - 1/18*r**3 - 1/6*r**2 + 0 + 1/36*r**o. Determine h so that m(h) = 0.
-1, 1
Let g = 9 - 7. Find z such that -3*z**2 + 3*z**2 + g - 2*z**2 = 0.
-1, 1
Factor -16*a**3 + 4*a**4 + 4 + 0*a**4 - 37*a + 24*a**2 + 21*a.
4*(a - 1)**4
Let k(i) = -i - 2. Let l be k(-4). Let u(j) be the third derivative of 1/75*j**5 - j**l + 0 + 0*j - 1/300*j**6 + 0*j**4 + 0*j**3. Suppose u(q) = 0. What is q?
0, 2
Let b(a) = -10*a + 60. Let v be b(6). Determine r so that 0*r + 1/7*r**2 + v = 0.
0
Let u(t) be the third derivative of -t**9/10800 - t**8/2800 - t**7/4200 + t**6/1800 - t**4/3 + 5*t**2. Let d(q) be the second derivative of u(q). Factor d(v).
-v*(v + 1)**2*(7*v - 2)/5
Let a be 2/((-1)/(-1)) + 15. Suppose 2*b - a = -b + w, 0 = -3*b - 4*w - 8. Determine r, given that -b*r**2 + r - 3*r - 5*r**3 - 3*r**2 = 0.
-1, -2/5, 0
Let h = -296 - -890/3. Factor -h*a**2 - 8/3 - 8/3*a.
-2*(a + 2)**2/3
Let t be -1*(-1 - (-2 + 2)). Let l be (-2 + 0 + t)/(-4). Find x such that -1/4*x + l*x**3 - 1/4 + 1/4*x**2 = 0.
-1, 1
Let g(d) be the second derivative of 3*d**5/20 - 2*d**3 - 3*d. Solve g(a) = 0.
-2, 0, 2
Suppose -4/5*a**4 + 4/5*a**5 + 0 + 4/5*a**2 - 12/5*a**3 + 8/5*a = 0. What is a?
-1, 0, 1, 2
Let y(p) be the first derivative of p**6/120 - p**5/10 + p**4/2 + p**3/3 - 4. Let d(v) be the third derivative of y(v). Find t such that d(t) = 0.
2
Let n(l) be the first derivative of -26/21*l**3 + 12/7*l**2 + 3/7*l**4 + 3 - 8/7*l - 2/35*l**5. Find d such that n(d) = 0.
1, 2
Factor -4/3*l + 2/3 + 2/3*l**2.
2*(l - 1)**2/3
Factor -2/7*a**4 - 48/7*a**2 - 32/7 + 64/7*a + 16/7*a**3.
-2*(a - 2)**4/7
Let k(r) be the first derivative of r**6/18 - r**4/6 + r**2/6 - 3. Let k(y) = 0. What is y?
-1, 0, 1
Let b(a) = -a**5 - a**4 + a**2 - 1. Let p(x) = 9*x**5 - 5*x**4 - 10*x**3 + 5*x**2 - 1. Let k(i) = -2*b(i) + 2*p(i). Suppose k(h) = 0. What is h?
-1, 0, 2/5, 1
Factor -8/11 + 0*k + 2/11*k**2.
2*(k - 2)*(k + 2)/11
Let z be 112/12 + (-2)/6. Let m(x) = 2*x - 13. Let s be m(z). Factor -s*c + c**2 + c + 5*c.
c*(c + 1)
Let c(m) be the second derivative of -10/3*m**6 + 0 - 8*m - 3*m**5 + 0*m**2 + 3*m**4 - 2/3*m**3. Factor c(r).
-4*r*(r + 1)*(5*r - 1)**2
Find z, given that 5/2*z**2 - 5/2 + 0*z = 0.
-1, 1
Factor -1 + 1/2*h**3 - 2*h - 3/4*h**2 + 1/4*h**4.
(h - 2)*(h + 1)**2*(h + 2)/4
Let b(l) be the third derivative of l**4/24 + 4*l**3/3 - 3*l**2. Let i be b(-6). What is j in 1/2*j - 1/2*j**i + 0 = 0?
0, 1
Let l = 62 + -58. Solve 1/2*s**l + 3/2*s**3 + 0 + 3/2*s**2 + 1/2*s = 0 for s.
-1, 0
Let r(f) be the third derivative of 1/210*f**5 + f**2 - 1/28*f**4 + 0*f + 2/21*f**3 + 0. Let r(j) = 0. Calculate j.
1, 2
Suppose -2*x + 3*x = -3*f - 480, 0 = -x. Let l = -476/3 - f. Suppose -2/3*o - l*o**2 + 2/3*o**5 + 0 + 0*o**3 + 4/3*o**4 = 0. Calculate o.
-1, 0, 1
Let g = -3007/10 - -301. Let t = -1/10 + g. Suppose -t*s + 0 + 1/5*s**2 = 0. What is s?
0, 1
Find q, given that -4/9*q - 2/9*q**2 - 2/9 = 0.
-1
Factor -u**4 - 10 - 15*u**2 - 29*u + 5*u**3 + 20*u + 6*u**4 - 16*u.
5*(u - 2)*(u + 1)**3
Factor -36/5*r**2 - 16/5 - 2/5*r**4 + 8*r + 14/5*r**3.
-2*(r - 2)**3*(r - 1)/5
What is x in 2*x**2 + 2*x**5 - 6*x**3 - 4*x**5 - 4*x**2 - 6*x**4 = 0?
-1, 0
Let l be (-2)/7*(-9)/18*1. Factor 0 + 1/7*d**2 + 1/7*d**3 - l*d**4 - 1/7*d.
-d*(d - 1)**2*(d + 1)/7
Let m(u) = -u**3 - u**2. Let w be m(-1). Let z be w/((3 + -2)/(-1)). Factor -2/7*d**3 + z*d + 0 + 0*d**2.
-2*d**3/7
Let i(y) be the second derivative of y**4/24 + y**3/6 + y**2/4 - 2*y. Factor i(a).
(a + 1)**2/2
Let n(o) be the second derivative of 2*o**6/135 + 2*o**5/45 + o**4/27 - 20*o. Factor n(s).
4*s**2*(s + 1)**2/9
Let h(w) be the first derivative of 2*w**5/45 - w**4/6 + 4*w**3/27 + 7. Let h(y) = 0. What is y?
0, 1, 2
Factor 0 + 5*g**2 - 5/2*g**4 + 0*g + 5/2*g**3.
-5*g**2*(g - 2)*(g + 1)/2
Suppose 5*w - 66 = 9. Factor 2 - 15*x**4 - 8 - 30*x**2 - 30*x**3 + 3 - 3*x**5 + 0 - w*x.
-3*(x + 1)**5
Let w = 1073 + -4255/4. Let n = -7 + w. Factor 0 + n*b**4 + 0*b - 3/2*b**3 + 1/4*b**2.
b**2*(3*b - 1)**2/4
Suppose 0 = 2*x - 9 + 3. Suppose -3*b + 10 = -5. Factor -d**2 + d**4 + 0*d**5 - 2*d**5 - d**x + 3*d**b.
d**2*(d - 1)*(d + 1)**2
Let i(b) be the second derivative of b**4/3 - 2*b**3/3 + b. Factor i(c).
4*c*(c - 1)
Find r such that -3/7*r**3 + 27/7 + 3*r**2 - 45/7*r = 0.
1, 3
Let s be 13/14 - 51/119. Let l(t) be the first derivative of -1/3*t**3 - 1/12*t**4 - s*t**2 - 1/3*t + 1. Factor l(b).
-(b + 1)**3/3
Suppose 2*g = 5*g. Find o, given that -4*o + 3*o**2 + 2*o - o**3 + 0*o + g*o**2 = 0.
0, 1, 2
Factor 1/2*k**2 + 0*k + 0.
k**2/2
Suppose -2*j + 8 = 2*j. Factor -9*o + 6*o**4 - o**4 - j + 2*o**4 + 9*o**3 - 5*o**2.
(o - 1)*(o + 1)**2*(7*o + 2)
Suppose -4*y - 19 = -3*x - 7, 5*y = 4*x - 16. Factor 0*c**3 - c**3 + x*c**3.
3*c**3
Let j(u) = -3*u**4 - 15*u**3 - 6*u**2 + 9*u + 9. Let a(d) = d**5 + d**4 + d**3 - 1. Let x(o) = 3*a(o) + j(o). Factor x(b).
3*(b - 2)*(b - 1)*(b + 1)**3
Let k = -14 - -16. Let l(d) be the third derivative of 0*d**3 - 1/12*d**4 + 0*d - 2*d**k + 1/60*d**5 + 0. Suppose l(t) = 0. What is t?
0, 2
Let d = -11 - -12. Let c(g) be the first derivative of -d + 1/12*g**4 - 1/3*g**3 - 1/3*g + 1/2*g**2. Factor c(q).
(q - 1)**3/3
Let v = -16 + 18. Let t(d) be the second derivative of 0*d**v - 1/48*d**4 + 3*d + 0 + 0*d**3. Find f such that t(f) = 0.
0
Let z(j) be the first derivative of j**6/36 + j**5/15 - j**4/12 - 4*j**3/9 - 7*j**2/12 - j/3 + 33. Factor z(g).
(g - 2)*(g + 1)**4/6
Let i(u) = 2*u**2 - 3*u - 2. Let f(x) = -10*x**2 + 14*x + 10. Let z(s) = -3*f(s) - 14*i(s). Factor z(m).
2*(m - 1)*(m + 1)
Let w be 12/8 - (-5)/2. Let -2/3*t**3 + 0 - 1/3*t**2 + 0*t - 1/3*t**w = 0. What is t?
-1, 0
Let j(m) be the second deriva