42 - v**6/24 - 5*v**5/12 + 5*v**4/3 - 8*v**3/3 - 58*v**2. Find t, given that i(t) = 0.
-4, 1
Let m(c) = 2*c**2 - 6*c + 1. Let h be m(4). Solve 3*a**2 + 4 - h*a + 3*a + 0*a - a**2 = 0 for a.
1, 2
Let w(h) = -h**3 + 81*h**2 - 404*h + 316. Let o(u) = 2*u**3 - 82*u**2 + 403*u - 317. Let b(p) = 4*o(p) + 3*w(p). Determine l, given that b(l) = 0.
1, 8
Suppose 0*k = -4*k + 88. Solve -148*g**2 + 48*g - 8 + 10*g**3 + 24 - k*g**3 - 168*g**3 = 0.
-1, -2/9, 2/5
Factor 0 + 9/2*u**2 + 3/2*u**4 + 9/2*u**3 + 3/2*u.
3*u*(u + 1)**3/2
Let d = -36 + 20. Let n = d - -18. Factor 0 - 1/4*w**n - 1/4*w**5 + 0*w + 1/4*w**3 + 1/4*w**4.
-w**2*(w - 1)**2*(w + 1)/4
Let -12*c**3 - 40*c**2 - 32/3 - 112/3*c = 0. Calculate c.
-2, -2/3
Let k be (2 - 99/(-24)) + 11 + -17. Determine p so that 0 + 1/8*p + k*p**2 = 0.
-1, 0
Let g(u) be the third derivative of u**8/33600 - u**7/4200 + u**5/20 - u**2. Let d(y) be the third derivative of g(y). Find a such that d(a) = 0.
0, 2
Suppose 9 = -t + 4*t. Let b be 6/(-15) + (-141)/(-15). Let -b*o - 3 + 15*o**2 - 12*o**4 + 5*o**3 + o**t + 3*o**3 = 0. What is o?
-1, -1/4, 1
Let w be (-8)/24*2/4. Let d = w - -29/30. Factor 0 + 2/5*u + 0*u**3 - 4/5*u**4 + d*u**2 - 2/5*u**5.
-2*u*(u - 1)*(u + 1)**3/5
Let t(m) = m + 13. Let v be t(-10). Let x(q) be the third derivative of q**2 + 0*q - 1/240*q**6 + 0*q**4 + 0 + 0*q**v + 1/120*q**5. Factor x(w).
-w**2*(w - 1)/2
Let t(v) = v**2 + 12*v + 37. Let s be t(-7). Solve 0 + 2/3*m**4 + 2/3*m**s - 4/3*m**3 + 0*m = 0 for m.
0, 1
Let x(h) be the second derivative of h**6/195 - h**5/130 - h**4/13 + 4*h**3/39 + 8*h**2/13 + 26*h. Find w, given that x(w) = 0.
-2, -1, 2
Let m(o) be the third derivative of -1/1680*o**8 + 1/150*o**6 + 0*o**7 + 0 - 1/40*o**4 + 0*o + 1/15*o**3 - 1/150*o**5 - 5*o**2. Let m(f) = 0. Calculate f.
-2, -1, 1
Factor p**3 - 18*p + 33*p + 10 - 6*p**3.
-5*(p - 2)*(p + 1)**2
Let t = -33 + 133/4. Let x(d) be the first derivative of 0*d**3 + 1/20*d**5 + 1/8*d**4 - 1/4*d**2 - t*d + 1. Find a, given that x(a) = 0.
-1, 1
Suppose -2*d + 5*v - 10 = 43, -3*d = 2*v + 32. Let n = d + 17. What is i in 0*i**2 - 2/5*i**n + 0*i + 0 = 0?
0
Suppose -2*q = -14 - 4. Let h(y) = -y + 13. Let s be h(q). Factor -2/7*j + 12/7*j**2 + 8/7*j**s - 18/7*j**3 + 0.
2*j*(j - 1)**2*(4*j - 1)/7
Suppose -41*a + 8 = -39*a. Factor 1/4*r**5 + 0 + 1/4*r**a - 1/4*r**3 - 1/4*r**2 + 0*r.
r**2*(r - 1)*(r + 1)**2/4
Factor 2/7 - 4/7*k + 2/7*k**2.
2*(k - 1)**2/7
Factor -8/3*u - 2 - 2/3*u**2.
-2*(u + 1)*(u + 3)/3
Let o(v) = -6*v**2 - 27*v - 48. Let l(m) = 7*m**2 + 28*m + 48. Let c(g) = 3*l(g) + 4*o(g). Suppose c(z) = 0. Calculate z.
-4
Let m be ((-2)/36)/((-10)/(-18580)). Let i = -103 - m. Factor i*q**2 - 2/9*q**3 + 0 + 0*q.
-2*q**2*(q - 1)/9
Let c(a) be the third derivative of 1/24*a**4 + 0 + 0*a**3 - 3*a**2 + 0*a - 1/160*a**6 + 1/840*a**7 + 0*a**5. Find o, given that c(o) = 0.
-1, 0, 2
Let x be 6*(0 + 3005/(-35)). Let n = 516 + x. Factor n*s**2 + 2/7*s**3 + 6/7*s + 2/7.
2*(s + 1)**3/7
Factor 0 - 1/2*p - 1/2*p**2.
-p*(p + 1)/2
Let v(x) be the third derivative of -x**7/140 - x**6/80 + 5*x**2. Solve v(c) = 0.
-1, 0
Let x(d) = -d**3 - 10*d**2 - 10*d - 9. Let q be x(-9). What is f in q - 2/9*f**2 + 2/9*f = 0?
0, 1
Let o(i) = -3*i**3 - 2*i**2 - 5*i - 6. Let q be (6/(-9))/((-2)/3). Let g(c) = c**3 + c**2 + c + 1. Let l(p) = q*o(p) + 4*g(p). Factor l(t).
(t - 1)*(t + 1)*(t + 2)
Suppose -u = -5*f + 4, -f + 0*u - 8 = 2*u. Find p such that 4*p**3 + f*p**4 + 5 - 4*p - 3 - 2*p**4 = 0.
-1, 1
Suppose 0*f + 6 = f. Find t such that t**3 - 6 + f + t**3 = 0.
0
Let q be 7 - (-259)/98*-2. Find y, given that -12/7 - 3/7*y**2 - q*y = 0.
-2
Let v be (4/56)/((-6)/(-8)). Let h(p) be the first derivative of 1/21*p**6 + 0*p - 2 + 3/14*p**4 - v*p**3 - 6/35*p**5 + 0*p**2. Factor h(r).
2*r**2*(r - 1)**3/7
Let i(q) = -6*q**2 - 16*q - 50. Let m(x) = 7*x**2 + 15*x + 50. Let v(l) = 5*i(l) + 4*m(l). Factor v(d).
-2*(d + 5)**2
Factor 26*l**2 - 5*l**4 - 32*l + l**4 - 10*l**2 + 8*l**3.
-4*l*(l - 2)**2*(l + 2)
Let u be (1*(5 + -3))/8. Factor -3/4*z**3 + 3/4*z + 1/2 - 1/4*z**4 - u*z**2.
-(z - 1)*(z + 1)**2*(z + 2)/4
Let y(r) be the second derivative of -1/39*r**3 + 0*r**2 + 0 - 1/78*r**4 + 2*r. Let y(u) = 0. Calculate u.
-1, 0
Let z(a) be the second derivative of a**7/84 - a**6/12 + a**5/4 - 5*a**4/12 + 5*a**3/12 - a**2/4 - 12*a. What is j in z(j) = 0?
1
Let z be ((-12)/9)/(10/(-15)). Let m(h) be the second derivative of 0 - z*h - 1/48*h**4 + 0*h**2 + 0*h**3 - 1/80*h**5. Determine x so that m(x) = 0.
-1, 0
Let l(p) = -16*p**2 + 11. Let a(u) be the third derivative of 0*u**4 + 0*u + 1/20*u**5 + 2*u**2 + 0 - 1/3*u**3. Let o(s) = 11*a(s) + 2*l(s). Solve o(k) = 0.
0
Let l(b) = b**2 + 2*b - 1. Let n(s) = 2 - 3*s + 1 - 2*s - 2*s**2 - s**2. Suppose -p - 1 + 6 = 0. Let w(g) = p*l(g) + 2*n(g). Factor w(h).
-(h - 1)*(h + 1)
Let t(f) be the third derivative of f**6/60 + f**5/5 + 3*f**4/4 + 4*f**3/3 + 27*f**2. Factor t(k).
2*(k + 1)**2*(k + 4)
Let v be (-2)/(-56)*22 + (-1)/2. What is q in 2/7 + 0*q - v*q**2 = 0?
-1, 1
Let x be 46/(-322)*3/((-6)/4). Solve -4/7*s + x*s**2 + 2/7 = 0.
1
Let k be (18/(-45))/((-2)/(-10)) + 2. Let k - 2/5*n**2 + 6/5*n = 0. Calculate n.
0, 3
Let o be ((-4)/(-10))/((-3)/(-15)). Let n be ((-8)/112)/(o/(-32)). Find y, given that -n*y**3 - 8/7*y - 2/7*y**4 - 2/7 - 12/7*y**2 = 0.
-1
Let y be (-1)/(4 + -6 + -2). Find a, given that 1/4*a**2 - 1/2 - y*a = 0.
-1, 2
Let m = -2 - -4. Let x be (28/490)/(m/20). Factor -x - 2/7*u**2 - 6/7*u.
-2*(u + 1)*(u + 2)/7
Let c = -31 - -52. Let x be (-90)/(-21) + (-6)/c. Factor 3*k**2 - 1 - 3 - 3*k**3 + x*k**3.
(k - 1)*(k + 2)**2
Let y(a) = -4*a**2 - a - 19. Let q(o) = 11 + 1 + o**2 - 7. Let v(l) = -22*q(l) - 6*y(l). Factor v(w).
2*(w + 1)*(w + 2)
Let m(t) be the third derivative of 7/40*t**4 + 0*t - 6*t**2 - 3/10*t**3 + 0 - 1/50*t**5. Factor m(k).
-3*(k - 3)*(2*k - 1)/5
Let a = 49 + -293/6. Let m(q) be the third derivative of 2*q**2 + a*q**4 - 1/30*q**5 + 0*q**3 - 1/60*q**6 + 0*q + 0. Factor m(b).
-2*b*(b - 1)*(b + 2)
Determine t, given that -41*t**2 - 11 + 16*t + 3 + 31*t**2 + 2*t**3 = 0.
1, 2
Let i be ((-45)/(-35) - 3) + (1 - -1). Determine j so that 2/7*j**3 + 2/7*j**4 - 2/7*j**2 + 0 - i*j = 0.
-1, 0, 1
Let i be -8*7/(-588)*(-2 - -5). Determine q so that i*q**2 + 0 + 2/7*q = 0.
-1, 0
Suppose -8/11*d + 0 - 2/11*d**2 = 0. Calculate d.
-4, 0
Suppose 3*x + 4*i = -2*x + 10, 0 = 3*i. Factor 2*r - 4*r - r**2 + x*r - r.
-r*(r + 1)
Let j(c) = c**3 + c**2 - c - 1. Let p(s) = -10 + 7*s**3 + 4*s - 5*s**3 + 6*s**3 - 2*s**2. Let k(f) = 6*j(f) - p(f). Let k(l) = 0. Calculate l.
1, 2
Let c(s) be the third derivative of 1/120*s**6 - 1/280*s**7 + 0*s**3 + 0*s + s**2 + 1/240*s**5 - 1/48*s**4 + 0. What is d in c(d) = 0?
-2/3, 0, 1
Let a(h) = -h**3 - h**2 + 2*h + 2. Let b be a(-2). Suppose 0 = 4*n - 8, 16 = -5*g - 5*n + 41. Factor -10*p + b*p**2 + g*p**2 + 2 + 3*p.
(p - 1)*(5*p - 2)
Let w = 2 + 0. Let c = 6/7 + -16/35. Suppose 0 + 2/5*n**3 + 0*n - c*n**w = 0. What is n?
0, 1
Let y(m) = m**2 - m + 2. Let o be y(0). Find t such that 2 + t - 4*t**2 + 0*t**o + 4*t**2 - t**2 = 0.
-1, 2
Let z(a) = 15*a**4 + 3*a**3 - 21*a**2 - 9*a + 6. Let l(d) = 31*d**4 + 6*d**3 - 43*d**2 - 19*d + 12. Let c(g) = 6*l(g) - 13*z(g). Find w such that c(w) = 0.
-1, 2/3, 1
Suppose 6*i = 3*i. Suppose 0 = -i*k - k. Factor 2/3*v**4 + 2/3*v**2 + k + 0*v + 4/3*v**3.
2*v**2*(v + 1)**2/3
Let l = -649 - -1182. Let g = -3725/7 + l. Factor -2/7 - 6/7*c**2 + g*c + 2/7*c**3.
2*(c - 1)**3/7
Suppose 39*j - 34*j = 0. Let c(d) be the first derivative of j*d + 1/2*d**2 - 2 + 7/6*d**3. Suppose c(x) = 0. Calculate x.
-2/7, 0
Suppose 0 = -7*y + 6 - 6. Factor 0*f**2 + 4/5*f**5 + 0*f + y + 6/5*f**4 + 2/5*f**3.
2*f**3*(f + 1)*(2*f + 1)/5
Factor 12*k - 12 + 3*k**2 - 9*k**3 + 15*k**3 - 9*k**3.
-3*(k - 2)*(k - 1)*(k + 2)
Factor -14*n**2 - 3*n**2 - 35 + 40*n + 12*n**2.
-5*(n - 7)*(n - 1)
Let q(h) be the second derivative of h**7/42 + h**6/9 + h**5/10 - 2*h**4/9 - h**3/2 - h**2/3 - 9*h. Let q(p) = 0. What is p?
-2, -1, -1/3, 1
Let v(r) be the third derivative of 1/2*r**3 + 0*r**4 + 1/900*r**6 - 2*r**2 + 0 - 1/300*r**5 + 0*r. Let l(t) be the first derivative of v(t). Factor l(b).
2*b*(b - 1)/5
Suppose -4*z + 0*z + 1 = -j, -2*z + 3*j = 7. Let n be z/1*(-9)/(-45). Factor n*m + 1/5*m**2 - 2/5.
(m - 1)*(m + 2)/5
Let 