*b**2 - 3*b. What is t in k(t) = 0?
-4, 2/3, 2
Let z(l) be the third derivative of 5*l**8/336 + l**7/14 - l**6/12 - l**5 - 5*l**4/3 + 127*l**2. Let z(d) = 0. What is d?
-2, -1, 0, 2
Let s(x) be the third derivative of 0*x**3 - 1/20*x**5 + 0 + 1/40*x**6 + 0*x + 1/70*x**7 + 15*x**2 - 1/8*x**4. Factor s(j).
3*j*(j - 1)*(j + 1)**2
Let c(l) be the first derivative of l**4/16 + 60*l**3 + 21600*l**2 + 3456000*l - 635. Factor c(m).
(m + 240)**3/4
Suppose -9*i + 1116 = 1098. Determine b so that -2/7*b**i - 8/7 - 10/7*b = 0.
-4, -1
Let q(j) be the first derivative of -j**4/12 + 7*j**3/9 - 5*j**2/2 + 3*j + 207. Factor q(h).
-(h - 3)**2*(h - 1)/3
Suppose -23*p - 101 = 14. Let x(t) = 4*t**2 + 19*t - 1. Let l be x(p). Find a such that 14/3*a**5 - 10/3*a**2 + 0 + 4/3*a + 10/3*a**l - 6*a**3 = 0.
-1, 0, 2/7, 1
Let o(m) be the first derivative of m**5/5 + 7*m**4/4 + 5*m**3 + 9*m**2/2 - 55. Let o(l) = 0. Calculate l.
-3, -1, 0
Let t = 406 - 1213/3. Let v(o) = o**3 - 6*o + 6. Let b be v(3). Factor -10*m - b - t*m**2.
-5*(m + 3)**2/3
Let w(o) be the second derivative of o**6/225 + o**5/25 + 2*o**4/15 + 2*o**3/9 + o**2/5 + o - 19. Suppose w(s) = 0. Calculate s.
-3, -1
Let u(i) be the second derivative of 23*i**4/6 - 16*i**3 + 4*i**2 + 33*i + 11. Find k such that u(k) = 0.
2/23, 2
Suppose 18 = 3*d + 2*n - 22, 4*d - 5*n - 15 = 0. Let q = -7 + d. Factor -4*m**2 - 140*m**3 + 137*m**q - 2*m**2.
-3*m**2*(m + 2)
Suppose -31*k = -19*k - 240. Let f(i) = -6*i + 120. Let u be f(k). Suppose 0 - 6/7*x**2 + u*x - 3/7*x**3 = 0. Calculate x.
-2, 0
Suppose -12 = -37*a + 25*a. Suppose -a = 2*o - 7. Factor -9/7*x + 12/7*x**2 - 5/7*x**o + 2/7.
-(x - 1)**2*(5*x - 2)/7
Solve 0*s + 4/3*s**3 + 19/3*s**4 + 0 - 10/3*s**5 - 4/3*s**2 = 0 for s.
-1/2, 0, 2/5, 2
Let a(z) be the first derivative of 4*z**5/5 - 5*z**4 + 81. Determine n, given that a(n) = 0.
0, 5
Suppose -7 = -2*n + 13. Suppose n = 2*h + 3*h. Find a such that -2*a**3 - 5 + 2*a**2 + h*a**5 - 2*a**4 + 5 = 0.
-1, 0, 1
Let m(z) be the second derivative of 102/5*z**5 + 0 + 72*z**3 + 21/5*z**6 - z + 5/14*z**7 + 48*z**2 + 52*z**4. Determine v so that m(v) = 0.
-2, -2/5
Let u(g) = -g**3 + g**2 + 4*g. Let x be u(2). Factor 3*z - z**x - z**4 + 7*z**4 + 5*z**3 - 8*z - 5*z**2.
5*z*(z - 1)*(z + 1)**2
Let p be 4 - (-276)/(-104) - 4/(-26). Let z be (6/(-24) + 0)*(0 + 0). Find v, given that 0 + z*v - 3/2*v**3 + p*v**2 = 0.
0, 1
Let w(h) be the second derivative of h**5/16 + 35*h**4/48 + 5*h**3/4 - 8*h + 2. Determine o, given that w(o) = 0.
-6, -1, 0
Suppose -591 = -3*x - 585. Solve 3/4 + b + 1/4*b**x = 0 for b.
-3, -1
Let n(c) be the third derivative of c**7/1050 + 37*c**6/150 + 2663*c**5/150 - 185*c**4/2 + 375*c**3/2 - 449*c**2. What is d in n(d) = 0?
-75, 1
Let x(a) = -a**2 + 9*a + 12. Let h be x(10). Factor -35*n - 4*n**2 + 28*n - n**3 - 5 + 2 - n**h.
-(n + 1)**2*(n + 3)
Let a(n) be the second derivative of -n**4/3 + 56*n**3/3 + 256*n**2 + 4*n - 117. Suppose a(o) = 0. What is o?
-4, 32
Suppose 4*u - 16 = 3*p, 2*p + 6 = 3*u - 6. Let z(q) be the first derivative of 1/15*q**5 + 0*q - 2 + 1/12*q**u - 1/6*q**2 - 1/9*q**3. Factor z(d).
d*(d - 1)*(d + 1)**2/3
Let u be (138/(-15))/2 + (0 - -5). Factor -2/5*a + 0*a**2 + u*a**3 + 1/5*a**4 - 1/5.
(a - 1)*(a + 1)**3/5
Determine s, given that 0*s + 2*s**2 + 0*s**3 - 2/5*s**4 - 8/5 = 0.
-2, -1, 1, 2
Let n(u) be the third derivative of -u**6/24 - 5*u**5 + 2*u**2 - 4*u. What is l in n(l) = 0?
-60, 0
Let i(v) be the third derivative of 0*v - 1/8*v**6 + 0*v**4 + 0 + 1/6*v**5 + 0*v**3 - 23*v**2. Find d such that i(d) = 0.
0, 2/3
Suppose n = -5 + 9, -28 = -4*o - 4*n. Find t, given that -24/7 + 36/7*t - 18/7*t**2 + 3/7*t**o = 0.
2
Factor -18/17*y + 16/17*y**2 + 2/17*y**3 + 0.
2*y*(y - 1)*(y + 9)/17
Let i(w) be the first derivative of w**8/168 + 2*w**7/105 - w**5/15 - w**4/12 + w**2 + 6. Let h(m) be the second derivative of i(m). Factor h(q).
2*q*(q - 1)*(q + 1)**3
Let q(b) be the third derivative of -b**7/525 + b**5/75 - b**3/15 - 203*b**2. Factor q(z).
-2*(z - 1)**2*(z + 1)**2/5
Let o be ((-2)/10)/(2/(-5)). Let n = 5267 - 5262. Determine f so that 1/3*f + 0 - 7/6*f**4 + o*f**3 - 5/6*f**n + 7/6*f**2 = 0.
-1, -2/5, 0, 1
Let l(t) be the third derivative of -t**8/112 - 3*t**7/35 - t**6/5 + 3*t**5/10 + 9*t**4/8 + 793*t**2. Determine a, given that l(a) = 0.
-3, -1, 0, 1
Let h(z) be the third derivative of 5/12*z**3 - 17*z**2 + 5/32*z**4 + 0*z + 1/48*z**5 + 0. Factor h(g).
5*(g + 1)*(g + 2)/4
Let i(x) be the first derivative of x**5/10 - 25*x**4/8 - 29*x**3 - 91*x**2 - 124*x - 178. Factor i(f).
(f - 31)*(f + 2)**3/2
Suppose 3*f = -5*z + 26, -3*z = 2*f + 1 - 17. Let u be (0 - 1/f)/((-2)/12). Factor 0 + 1/2*o - 1/4*o**2 - 1/4*o**u.
-o*(o - 1)*(o + 2)/4
Solve -60*x**4 - 8*x**5 + 110*x**4 - 10*x**5 - 24*x**3 - 8*x**2 = 0.
-2/9, 0, 1, 2
Let i(w) = -w**2 + 6*w - 5. Let r be i(4). Factor 4*s**4 - 12*s**2 - 4*s**4 - 3*s**3 + 12*s + r*s**4.
3*s*(s - 2)*(s - 1)*(s + 2)
Let l be 13/((-26)/12) + (-78)/(-9). Find r such that -32/3*r + 0 + 4/3*r**3 + l*r**2 = 0.
-4, 0, 2
Determine g so that 58*g - 34*g**2 + 32*g**3 + 113*g**2 + 36 + 6*g**4 + 9*g**2 - 2*g**4 + 38*g = 0.
-3, -1
Let n(j) be the first derivative of -1 - 8/45*j**3 + 0*j + 1/5*j**2. Factor n(g).
-2*g*(4*g - 3)/15
Let a(j) be the third derivative of -j**7/420 + j**6/40 + j**5/40 - j**4/3 - j**3 + 372*j**2. Factor a(z).
-(z - 6)*(z - 2)*(z + 1)**2/2
Factor g + 6/5*g**2 - 12/5 + 1/5*g**3.
(g - 1)*(g + 3)*(g + 4)/5
Let x(v) = -144 - 140 + 283. Let y(s) = -3*s**2 + 12*s - 6. Let b(a) = -6*x(a) + y(a). Factor b(m).
-3*m*(m - 4)
Let x(i) = i**5 + i**4 + 2*i + 2. Let p(n) = n**5 + 3*n + 3. Let w(r) = 2*p(r) - 3*x(r). Solve w(h) = 0 for h.
-3, 0
Determine w so that -36/7*w**3 + 0 + 4/7*w**4 + 60/7*w**2 - 4*w = 0.
0, 1, 7
Let t(j) be the third derivative of -j**6/120 - 9*j**5/10 - 81*j**4/2 - 972*j**3 + 2*j**2 - j. Factor t(p).
-(p + 18)**3
Let q be (40/30)/((-4)/(-42)). Let x(p) = 6*p**4 - 8*p**3 + 14*p**2 + 14. Let o(u) = 2*u**4 - 3*u**3 + 5*u**2 + 5. Let a(d) = q*o(d) - 5*x(d). Factor a(v).
-2*v**3*(v + 1)
Let i be (0/1 + (-56)/84)*(-162)/39. Suppose -12/13 + i*m**2 - 46/13*m = 0. What is m?
-2/9, 3/2
Suppose 2*g + 22 + 20 = -4*a, -3*g = 4*a + 41. Let b = -6 - a. Let 0*u**b - 15*u**4 + 26*u**3 + 12*u**5 + 4*u**2 + 61*u**4 + 12*u**5 = 0. Calculate u.
-1, -2/3, -1/4, 0
Let a(w) be the first derivative of 7/24*w**6 - w + 1/16*w**4 + 23/12*w**3 - 19/20*w**5 + 6 - w**2. Solve a(k) = 0.
-1, -2/7, 1, 2
Let h(z) be the second derivative of -z**5/60 - z**4/9 - z**3/18 + z**2 + 7*z + 13. Find b, given that h(b) = 0.
-3, -2, 1
Let p be 1/(-2)*10/395*1. Let d = 313/237 - p. What is q in 2/3*q**3 + d + 2*q**2 - 10/3*q - 2/3*q**4 = 0?
-2, 1
Suppose 4*w + q - 271 = 206, -2*q + 234 = 2*w. Let z be 0 - w/(-297) - 2/9. Solve 4/11*p**2 - z*p - 4/11 + 2/11*p**3 = 0.
-2, -1, 1
Let k(m) be the third derivative of 1/66*m**5 - 3/11*m**3 - 1/44*m**4 + 0 + m - 1/660*m**6 - m**2. Find x such that k(x) = 0.
-1, 3
Let a(v) be the second derivative of 15*v**3 + 1/10*v**5 + 0 - 50*v**2 - 2*v**4 + 21*v. Factor a(x).
2*(x - 5)**2*(x - 2)
Let k(i) be the third derivative of -i**8/3360 + i**7/2520 + i**6/90 + i**5/20 - 2*i**2. Let t(r) be the third derivative of k(r). Suppose t(a) = 0. What is a?
-1, 4/3
Let s(q) be the first derivative of -q**6/3 + 3*q**4/2 - 4*q**3/3 + 56. Find x such that s(x) = 0.
-2, 0, 1
Let n(w) be the second derivative of -w**6/180 - 3*w**5/40 - 7*w**4/72 + w**3/4 + 2*w**2/3 - 72*w. Determine s so that n(s) = 0.
-8, -1, 1
Let o be (34/(-68))/((-3)/12). Factor -2/9*b**o - 2/9*b + 4/3.
-2*(b - 2)*(b + 3)/9
Determine a, given that 0 + 0*a + 4/3*a**2 - 1/3*a**3 = 0.
0, 4
Let x be 50/30 - 1/(-3). Suppose -41*h + 56*h**x - 23*h + 20*h + 8 = 0. What is h?
2/7, 1/2
Let k be (-4)/(-10 - 0/6). Factor -8/5 + 0*c + k*c**2.
2*(c - 2)*(c + 2)/5
Let n be 20/6 - (-24)/(-18). Factor 11*z + n*z - 49 - z**2 - 11*z + 12*z.
-(z - 7)**2
Let m be 34/4 - 2/4. Suppose -b + 9 - 1 = 3*v, 2*b + m = 2*v. Factor -p**v + 5*p**3 - 4*p**2 - 8*p**3 + 8*p.
-4*p*(p - 1)*(p + 2)
Let w(f) be the third derivative of f**6/120 + 3*f**5/20 + f**4/12 - 8*f**3 + 205*f**2. Let w(o) = 0. What is o?
-8, -3, 2
Factor -1/12*i + 1/12*i**4 - 1/12*i**2 + 1/12*i**3 + 0.
i*(i - 1)*(i + 1)**2/12
Factor -60*v**3 + 14*v**2 + 57*v**3 - 18*v**