) = -u - 12. Let l be b(-8). Let f be l/6*6/(-16). Solve -1/2 + 3/4*d - f*d**2 = 0.
1, 2
Let h(w) = 2*w**2 + 7*w - 13. Let m be h(-5). Factor 4/3*u + 4/3*u**5 - 8/3*u**m - 8/3*u**3 + 4/3*u**4 + 4/3.
4*(u - 1)**2*(u + 1)**3/3
Let f(p) be the third derivative of p**8/168 + p**7/35 + p**6/30 - p**5/15 - p**4/4 - p**3/3 + 9*p**2. Factor f(x).
2*(x - 1)*(x + 1)**4
Suppose 4*t = -t + 10. Suppose 8*j = 5*j + 6. Find d, given that d**j - 4*d**t + 0*d**2 + 2*d + d**2 = 0.
0, 1
Let g(h) be the second derivative of h**6/210 - h**5/70 - h**4/28 + 55*h + 1. Factor g(d).
d**2*(d - 3)*(d + 1)/7
Determine z, given that 15 - 15 + 12*z + 12*z**4 + 9*z**3 - 36*z**2 + 3*z**4 = 0.
-2, 0, 2/5, 1
Let b(c) be the second derivative of c**5/40 + c**4/24 - c**3/6 - 13*c. Factor b(q).
q*(q - 1)*(q + 2)/2
Let r(k) = -k**4 + k**3 - k + 1. Let w be (6 - 0)*(-2)/4. Let d(i) = i**3 - i. Let q(v) = w*r(v) - 3*d(v). Solve q(f) = 0.
-1, 1
Factor -4*i**3 - 3*i**4 - 4*i**4 - 4*i**4 + 15*i**4 - 4*i**2 + 4*i.
4*i*(i - 1)**2*(i + 1)
Let j(l) be the second derivative of -l**6/10 - 2*l**5/15 + l**4/2 + 4*l**3/3 - 3*l**2 - 3*l. Let d(z) be the first derivative of j(z). Factor d(c).
-4*(c - 1)*(c + 1)*(3*c + 2)
Let m(y) = -y**3 - y**2 + 2*y. Let j be m(2). Let d = j - -10. Factor -1/4*o + 1/4*o**3 + 1/4 - 1/4*o**d.
(o - 1)**2*(o + 1)/4
Find m such that -4*m**2 - 16/3 + 8*m + 2/3*m**3 = 0.
2
Factor 0 - 2/3*q**3 + 0*q**2 + 2/3*q.
-2*q*(q - 1)*(q + 1)/3
Factor -11*h**2 - 28*h**4 + 8*h**3 + 39*h**2 + 18 - 8*h - 18.
-4*h*(h - 1)*(h + 1)*(7*h - 2)
Suppose 40 = 50*w - 30*w. Factor 1/4*t**5 + t**w + 1/4*t + 3/2*t**3 + 0 + t**4.
t*(t + 1)**4/4
Factor 0 + 0*t + 0*t**2 + 2/3*t**3.
2*t**3/3
Suppose 2*l - 7*l = 0, 2*u - 4 = 2*l. Factor -3*o**4 + 48*o**3 + 8*o + 23*o**4 - 8*o**2 + 44*o**u.
4*o*(o + 1)**2*(5*o + 2)
Let f(z) be the third derivative of z**7/210 + z**6/40 - z**5/60 - z**4/8 + 4*z**2. Factor f(w).
w*(w - 1)*(w + 1)*(w + 3)
Find v such that 0 + 0*v + 2/9*v**4 + 2/9*v**3 + 0*v**2 = 0.
-1, 0
Let x = -9 + 14. Let c(l) be the third derivative of 2*l**2 + 1/330*l**x + 0*l**4 + 0 + 0*l**3 + 0*l. Determine g, given that c(g) = 0.
0
Let r(s) be the first derivative of -1/72*s**4 - 1/90*s**5 + 0*s - 1/360*s**6 + 0*s**3 - 2 - s**2. Let i(y) be the second derivative of r(y). Factor i(m).
-m*(m + 1)**2/3
Let t(i) be the second derivative of i**5/50 - i**4/30 - 4*i**3/15 + 4*i**2/5 - 8*i. What is p in t(p) = 0?
-2, 1, 2
Let b = 2/17 + 13/34. Let d(p) be the first derivative of 0*p + 2/15*p**5 + 3 + 2/3*p**2 - 2/9*p**3 - b*p**4 + 1/9*p**6. Solve d(h) = 0 for h.
-2, -1, 0, 1
Let j(h) be the first derivative of -16/3*h + 4*h**2 - 4/3*h**3 - 3 + 1/6*h**4. Suppose j(w) = 0. What is w?
2
Let x be ((2 - (-18)/(-8))*0)/(-1). Factor -2*u**2 + x - 1/2*u + 1/2*u**3 + 2*u**4.
u*(u - 1)*(u + 1)*(4*u + 1)/2
Factor -42*u + 33*u**2 - 17*u**2 - 22 + 58 - 2*u**3.
-2*(u - 3)**2*(u - 2)
Factor 21 + 3*k**2 - 3*k**4 + 3*k**3 - 21 - 3*k.
-3*k*(k - 1)**2*(k + 1)
Let o be 10/6 + (-16 - -8 - -7). Let u**3 + 1/6*u**5 + 0 + o*u**4 + 2/3*u**2 + 1/6*u = 0. Calculate u.
-1, 0
Let m(w) be the third derivative of 0*w**4 - 1/33*w**3 + 0*w + 0 + 1/330*w**5 - 4*w**2. Solve m(o) = 0.
-1, 1
Let i(w) be the third derivative of w**8/14 + 2*w**7/5 + 19*w**6/20 + 5*w**5/4 + w**4 + w**3/2 - 2*w**2. Determine x, given that i(x) = 0.
-1, -1/2
Suppose -a + 2*a = 3. Factor -l**2 - l**2 + a*l**2.
l**2
Suppose -18 - 6 = -3*l. Let u(k) = -14*k**2 - 6*k - 8. Let v(d) = -2*d**2 + 2*d - 4*d - 3 - 3*d**2. Let f(a) = l*v(a) - 3*u(a). Find j such that f(j) = 0.
-1, 0
Factor 0 - 1/2*t**2 + 3/2*t.
-t*(t - 3)/2
Let m(s) = -s**2 - 1. Let i(a) = a**2 + 8*a - 14. Let k(q) = i(q) + 2*m(q). Factor k(g).
-(g - 4)**2
Factor 7*f**3 + 26*f**3 + f**2 - 12*f**5 - 10*f**2 - 24*f**4.
-3*f**2*(f + 3)*(2*f - 1)**2
Let o(f) = 2*f**4 - 12*f**3 + 26*f**2 - 26*f + 10. Let g(q) = 6*q**4 - 36*q**3 + 78*q**2 - 79*q + 31. Let z(k) = -2*g(k) + 7*o(k). Find a, given that z(a) = 0.
1, 2
Let j be (-48)/(-28) + 4/14. Find w, given that -3*w**j + 3*w**3 - 4 + 9*w + 2 - 1 - 6*w**2 = 0.
1
Let b(m) be the second derivative of 2*m**6/15 + 2*m**5/5 + 15*m - 1. What is h in b(h) = 0?
-2, 0
Let x(j) be the third derivative of j**9/241920 + j**8/80640 + j**5/30 + 2*j**2. Let h(m) be the third derivative of x(m). Factor h(a).
a**2*(a + 1)/4
Suppose -10*n - n - 16 + 16*n**2 + 7*n + 4*n**3 = 0. What is n?
-4, -1, 1
Suppose -5*h + 60 = -h. Let c be 18/h*(-10)/(-3). Suppose 2*n + c*n**2 - 4*n**2 - n**2 - n**2 = 0. Calculate n.
0, 1
Let b be (-2)/(-12) + (-1198)/(-12). Let w be b/55 - 2/(-11). Solve 5*x**2 - 3 - 2*x - x - 2*x**w - 3 = 0.
-1, 2
Suppose 2 = 3*w - w - 4*m, 3*w + 18 = -m. Let t be (-203)/(-105) - (-3)/w. Factor 2/3*k**3 - 2/3*k + t*k**2 - 4/3.
2*(k - 1)*(k + 1)*(k + 2)/3
Let j(p) be the second derivative of p**6/10 - p**4/4 - 7*p. Determine w so that j(w) = 0.
-1, 0, 1
Let i = 75/14 - 27/14. Let 162/7 + i*v**3 + 108/7*v**2 + 2/7*v**4 + 216/7*v = 0. Calculate v.
-3
Let q(m) be the second derivative of -m**10/10080 + m**9/1260 - m**8/560 + m**4/4 + 3*m. Let z(a) be the third derivative of q(a). Find b such that z(b) = 0.
0, 2
Let g = 21 - 17. Solve -g*l**3 + 6*l - 5*l**2 + 21*l**2 - 2*l - 16*l**4 = 0 for l.
-1, -1/4, 0, 1
Suppose -f - 8 = -3*u, -2*u + 2*f = -3*f + 12. Suppose -t = -4*c + 29 - 4, -16 = -2*c + u*t. Factor 2 + 3*h**2 + 0 - c*h**2 - 5*h.
-(h + 2)*(3*h - 1)
Suppose -s - 5 = w - 3*s, 0 = w - s + 1. Let g(l) be the first derivative of 2/3*l**w + 0*l + 0*l**2 + 1/2*l**4 + 2. Determine p, given that g(p) = 0.
-1, 0
Let b(x) be the third derivative of x**8/1512 + x**7/315 + x**6/540 - x**5/90 - x**4/54 - 12*x**2. Solve b(q) = 0 for q.
-2, -1, 0, 1
Suppose 0 = 5*m - 5*o - 40, -4*o + 0 = 16. Suppose 3*z = -3*v - 6, 0 = 3*v - m*z - 5 - 3. Factor 0*w**3 - 1/2*w**4 + v + 1/2*w**2 - 1/4*w**5 + 1/4*w.
-w*(w - 1)*(w + 1)**3/4
Let i = -64 + 68. Factor 3/2*j - 1/2*j**i - 3/2*j**3 + 1 - 1/2*j**2.
-(j - 1)*(j + 1)**2*(j + 2)/2
Let c(d) be the first derivative of -4*d**5/5 + 4*d**3/3 - 20. Factor c(y).
-4*y**2*(y - 1)*(y + 1)
Let q(t) be the third derivative of -t**5/180 + t**4/72 + t**3/9 + 5*t**2. Factor q(u).
-(u - 2)*(u + 1)/3
Let b = -3/46 - -55/138. Let p(r) be the second derivative of -2*r - 1/30*r**5 - 1/6*r**4 - b*r**3 - 1/3*r**2 + 0. What is d in p(d) = 0?
-1
Let n be 253/176 - (-2)/32. What is f in -1/2*f**2 - 1 + n*f = 0?
1, 2
Let k = -139 - -142. Let i(v) be the second derivative of -v**4 + 4*v + 0 - 1/10*v**5 - 8*v**2 - 4*v**k. Let i(c) = 0. Calculate c.
-2
Let a(v) = -v - 2. Let b = -9 + 3. Let q be a(b). Determine j, given that 0*j**3 - 2/3*j**q - 2/3 + 4/3*j**2 + 0*j = 0.
-1, 1
Factor -40*g**2 + 5 + 10*g**4 + 82*g**5 - 10*g + 25*g**4 - 62*g**5 - 10*g**3.
5*(g - 1)*(g + 1)**3*(4*g - 1)
Suppose 17*o = 14*o. Suppose -10*g + 9*g = o. Solve 0*q + 0*q**3 + 0*q**2 + 2/3*q**5 + g*q**4 + 0 = 0 for q.
0
Let d(s) be the first derivative of -s**6/120 - s**5/20 - s**4/8 + 4*s**3/3 - 1. Let g(k) be the third derivative of d(k). Determine c so that g(c) = 0.
-1
Let x be ((-180)/42)/((-45)/70). Find u such that 0*u + 4/3*u**2 + x*u**3 + 0 + 25/3*u**4 = 0.
-2/5, 0
Factor 4*a**2 + 4*a**3 + 2*a - 3*a**3 + a**2 - 2*a**2.
a*(a + 1)*(a + 2)
Let w = 4 + -8. Let n be w/(-10)*66/6. Factor -n*a**2 - 17/5*a**4 - 1/5 - 8/5*a - 28/5*a**3 - 4/5*a**5.
-(a + 1)**4*(4*a + 1)/5
Let z(b) be the first derivative of -b**4/4 - 2*b**3/3 - b**2/2 + 13. Factor z(c).
-c*(c + 1)**2
Let n = 3 - 1. Let j = 268/889 - 2/127. Factor 0*o - 2/7 + j*o**n.
2*(o - 1)*(o + 1)/7
Factor -8*l + 53*l**5 + 21*l**4 + 60*l**2 - 32*l**3 - 4*l**5 - 90*l**3.
l*(l - 1)*(l + 2)*(7*l - 2)**2
Let j(i) be the second derivative of 1/18*i**4 + 1/3*i**2 + 0 - 2*i - 2/9*i**3. What is k in j(k) = 0?
1
Let l(m) = -2*m**3 - m**2 - 2*m. Let z(g) = 2*g**3 + 2*g. Let r(w) = 4*l(w) + 3*z(w). Factor r(v).
-2*v*(v + 1)**2
Suppose 3 = -h + 5. Find p, given that 0 - 3*p**3 - 1/2*p - 2*p**4 - h*p**2 - 1/2*p**5 = 0.
-1, 0
Let z = 140/3 + -46. Factor 0*g - z*g**4 - 2/3*g**2 - 4/3*g**3 + 0.
-2*g**2*(g + 1)**2/3
Let f(g) be the third derivative of -1/540*g**6 + 2/135*g**5 + 0*g - 5/108*g**4 + 2/27*g**3 + 0 + 5*g**2. Factor f(x).
-2*(x - 2)*(x - 1)**2/9
Suppose 38*j - 161 + 9 = 0. Factor 0*f**2 + 0 + 2/3*f**j + 1/3*f**5 + 1/3*f**3 + 0*f.
f**3*(f + 1)**2/3
Determine