ond derivative of m**7/63 - 2*m**6/45 + m**4/9 - m**3/9 - 6*m. Find b such that o(b) = 0.
-1, 0, 1
Suppose -2*i - 4 = -10. Solve -2*d**2 - 3*d**3 + 2*d - i + d**3 + 5 = 0.
-1, 1
Let m(i) be the third derivative of 0 - 1/15*i**5 + 0*i + 2/105*i**7 - 1/20*i**6 + 0*i**3 + 3*i**2 + 0*i**4. Let m(l) = 0. Calculate l.
-1/2, 0, 2
Let t(z) be the second derivative of 0 + 0*z**3 + 0*z**4 - 8/105*z**6 + 5/147*z**7 - 2/35*z**5 - z + 0*z**2. Determine j, given that t(j) = 0.
-2/5, 0, 2
Let x(q) be the first derivative of 1/3*q**4 - 6 - 2/3*q - 1/3*q**2 + 4/9*q**3 - 1/9*q**6 - 2/15*q**5. Factor x(h).
-2*(h - 1)**2*(h + 1)**3/3
Suppose -3*u**3 + 6*u + 21*u - 129*u**2 + 111*u**2 + 6*u**3 = 0. What is u?
0, 3
Let h(r) be the first derivative of 7*r**4/22 + 32*r**3/33 + r**2 + 4*r/11 - 24. Factor h(f).
2*(f + 1)**2*(7*f + 2)/11
Suppose -3 = 3*m, -3*m = t - 0*m. Suppose -t*p + 15 = 2*p. Find y such that 42*y**2 - 8 - 10*y**4 + p*y**4 - 16*y - 7*y**4 - 6*y**3 + 2*y**3 = 0.
-2, -2/7, 1
Let j = 1/4 + 1/12. Let -2/3*i**3 + 2/3*i + 0*i**2 + j - 1/3*i**4 = 0. Calculate i.
-1, 1
Suppose -2*n + 0*n + 12 = 0. Let f be (0 + n)/(-2 + 4). Factor 1/4*q**f + 0 + 0*q + 0*q**2 - 1/4*q**4.
-q**3*(q - 1)/4
Suppose 0 - 2*j**4 - 2*j**2 + 3*j**3 + 1/2*j + 1/2*j**5 = 0. Calculate j.
0, 1
What is l in 1/2*l**4 + 15/2*l**2 - 7/2*l**3 + 0 - 9/2*l = 0?
0, 1, 3
Let n(p) = -p**3 + p**2 + p + 1. Let g(z) = 3*z**3 - 3*z**2 - 4*z - 2. Let o(b) = -g(b) - 2*n(b). Find k such that o(k) = 0.
-1, 0, 2
Let f = -136 + 139. Solve -64/3*d**5 + 13/3*d**2 - 20*d**f + 0 - 1/3*d + 112/3*d**4 = 0.
0, 1/4, 1
Let r(j) be the second derivative of j**8/1848 + j**7/1155 - j**6/330 - j**2 - 3*j. Let i(o) be the first derivative of r(o). Factor i(m).
2*m**3*(m - 1)*(m + 2)/11
Let r be 1/(((-2)/8)/(-1)). Factor 0*z**4 + 0*z**r + 2*z + z**3 - z**4 + z**2 - 3*z.
-z*(z - 1)**2*(z + 1)
Let w(c) be the third derivative of c**6/360 - c**5/90 - 23*c**2. Factor w(p).
p**2*(p - 2)/3
Let l(h) be the third derivative of h**11/36960 + h**10/25200 + h**9/60480 + h**5/30 + 2*h**2. Let s(a) be the third derivative of l(a). What is u in s(u) = 0?
-1/3, 0
Let x be -2*(-1)/2*3. Let s = 6 - 4. Factor -q**3 - s*q**2 - q**3 + 3*q**2 + q**x.
-q**2*(q - 1)
Suppose -3*l - x = -0*l - 10, -3*l + 5*x = -4. Suppose 7 + 18 = 5*j + 5*v, -5*j + 5*v = 5. Find y, given that 16/9*y**j - 4/9 + 2/9*y + 10/9*y**l = 0.
-1, 2/5
Let q(b) be the first derivative of b**6/2 - 3*b**5/5 - 7. Factor q(x).
3*x**4*(x - 1)
Let p = 9 - 9. Let c be (-1 - (-8)/6)/((-3)/(-18)). Find r such that p*r**c + 3/4*r**3 + 1/2*r**4 + 0 - 1/4*r = 0.
-1, 0, 1/2
Let y be 1/(-4) - (-4)/16. Suppose -3*m - m = -5*h + 45, 3*h + 4*m = -5. Factor 1/3*o**2 + 0 + o**3 + y*o + o**4 + 1/3*o**h.
o**2*(o + 1)**3/3
Find o such that -4*o**3 - 4*o**2 + 82*o + 0*o**2 - 74*o = 0.
-2, 0, 1
Let o(v) = v**3 + 5*v**2 - 6*v. Suppose -5*w + 1 = 31. Let m be o(w). What is g in -2/7*g**3 + 2/7*g**5 + 0 + 2/7*g**4 - 2/7*g**2 + m*g = 0?
-1, 0, 1
Suppose -w + 88 - 84 = 0. Factor 1/2*c**5 + c**2 + 0*c**3 - 1/2*c + 0 - c**w.
c*(c - 1)**3*(c + 1)/2
Let d(u) be the first derivative of 0*u + 36/25*u**5 - 39/20*u**4 - 3/10*u**2 + 3 - 2/5*u**6 + 6/5*u**3. Factor d(m).
-3*m*(m - 1)**2*(2*m - 1)**2/5
Let v(j) be the second derivative of 9/5*j**5 - 11/3*j**4 + 0 + 4/3*j**3 + 0*j**2 - 5*j. Factor v(g).
4*g*(g - 1)*(9*g - 2)
Let d = -45/2 + 317/14. Factor -10/7*q**2 - 5/7*q**4 + 10/7*q**3 + 5/7*q - d + 1/7*q**5.
(q - 1)**5/7
Let s(k) be the second derivative of -k**4/78 - k**3/39 + k + 47. Suppose s(u) = 0. Calculate u.
-1, 0
Suppose 3*l - 5*l = -16. Determine h, given that -17*h**4 + 15*h**3 + 3*h**5 + 5*h**4 + l - 8 - 6*h**2 = 0.
0, 1, 2
Let y(r) be the first derivative of -r**3 + 9*r**2/2 + 12*r + 16. Find i such that y(i) = 0.
-1, 4
Let c(j) be the first derivative of -j - 1/3*j**3 + j**2 + 8. Suppose c(h) = 0. What is h?
1
Let p = -8 - -11. Let -5*x**2 + 3*x**5 - 3*x**p + 3*x**4 + 2*x**2 + 0*x**3 + 0*x**2 = 0. What is x?
-1, 0, 1
Let a(g) be the second derivative of g**6/180 + g**5/20 + g**3/6 + 3*g. Let z(b) be the second derivative of a(b). Factor z(u).
2*u*(u + 3)
Find r such that -2/5*r + 2/5 - 2/5*r**2 + 2/5*r**3 = 0.
-1, 1
Suppose 4*w = -2*s + 10, -3*w - 3*s + 11 = 2*w. Let h = -1 - -4. Suppose -1/2*o**w - o + 1/2*o**2 - 3/2*o**5 + 0 + 5/2*o**h = 0. Calculate o.
-1, 0, 2/3, 1
Let a(c) be the first derivative of 0*c**2 + 0*c - 5 - 2/9*c**3. Factor a(k).
-2*k**2/3
Let p be (-1)/(((-5)/3)/(-5)) - -3. Factor 1/4*b + 1/4*b**2 + p.
b*(b + 1)/4
Suppose 0 = 2*z - 7*z + 35. Suppose -z*c + 5*c = 5*r - 16, 2*r = 5*c + 18. Let -n**5 + 3*n**3 + 7*n**r + 2*n**5 + 2*n**5 - n**4 = 0. What is n?
-1, 0
Let t = 2 + -2. Let w be 18/12 + 63/(-66). Let -2/11*x - 14/11*x**3 + t - 10/11*x**2 - w*x**4 = 0. Calculate x.
-1, -1/3, 0
Let j(g) be the third derivative of -1/6*g**5 - 9/112*g**8 - 1/24*g**4 - 3/10*g**6 + 0 - 9/35*g**7 + 0*g**3 + 0*g + 5*g**2. Factor j(f).
-f*(f + 1)*(3*f + 1)**3
Let u(c) be the second derivative of c**4/30 + 2*c**3/15 + 4*c. Factor u(a).
2*a*(a + 2)/5
Let z(d) be the first derivative of d**5/60 - d**4/36 - 3*d - 6. Let k(w) be the first derivative of z(w). Suppose k(b) = 0. What is b?
0, 1
Suppose -24 = -2*m - 5*c, -4*m - 3*c - 1 = -21. Let k = 1559/9 - 173. Factor -2/9*b + k*b**m + 0.
2*b*(b - 1)/9
Suppose a = -3*a + 2*r - 2, 2*r = -a + 2. What is j in -2*j**2 + j**2 + j + a*j**2 = 0?
0, 1
Let g(i) be the second derivative of i**8/3360 - i**7/1890 + i**4/6 + 3*i. Let o(y) be the third derivative of g(y). Solve o(t) = 0 for t.
0, 2/3
Let s(k) be the first derivative of -3*k**5/80 - k**4/12 - k**3/24 - k - 1. Let u(j) be the first derivative of s(j). Factor u(p).
-p*(p + 1)*(3*p + 1)/4
Let h(l) be the third derivative of -l**8/2184 + l**7/1365 + l**6/780 - l**5/390 + 37*l**2. Factor h(d).
-2*d**2*(d - 1)**2*(d + 1)/13
Let q(o) = -7*o**3 + o - 3. Suppose 7*n - 3*n = -12. Let j(z) = 48*z**3 - 8*z + 20. Let b(u) = n*j(u) - 20*q(u). Factor b(p).
-4*p*(p - 1)*(p + 1)
Factor -2 + 0*f**4 - 126*f + 2*f**4 + 4*f**3 + 122*f.
2*(f - 1)*(f + 1)**3
Let j = 1557/364 + -5/182. Factor j*h**2 - 1/2*h - 10*h**3 + 4*h**4 + 0.
h*(h - 2)*(4*h - 1)**2/4
Let x = -26 - -18. Let g(f) = -f**3 - f**2. Let p(r) = -6*r**3 - 10*r**2 - 2*r + 2. Let i(m) = x*g(m) + p(m). Find o, given that i(o) = 0.
-1, 1
Let h(k) = -k + 1. Let w(y) = 45*y**3 + 10*y**2 - 40*y - 15. Let n(a) = -5*h(a) - w(a). Factor n(l).
-5*(l - 1)*(l + 1)*(9*l + 2)
Let o = -3/455 - -19/65. Factor 2/7*f**2 + o*f**4 - 4/7*f**3 + 0 + 0*f.
2*f**2*(f - 1)**2/7
Let s(c) be the second derivative of c**7/840 - c**5/40 + c**4/3 - 7*c. Let w(r) be the third derivative of s(r). Factor w(d).
3*(d - 1)*(d + 1)
Suppose -3 = 6*t - 3*t. Let z(j) = j**2. Let o = 4 - 2. Let x(m) = 4*m**2 + 3*m + 1. Let p(y) = o*z(y) + t*x(y). Find a, given that p(a) = 0.
-1, -1/2
Let v(z) be the second derivative of -z**4/24 + z**3/6 - 5*z. Factor v(f).
-f*(f - 2)/2
Let s be (-84)/(-22) + 0 + (-10)/(-55). Find w such that 3*w**2 - 2*w**3 + 1/2*w**s + 1/2 - 2*w = 0.
1
Suppose 20 = 4*g + 6*g. Factor -1/2 - t - 1/2*t**g.
-(t + 1)**2/2
Let z = 79/284 - 2/71. Suppose 0*p**2 + 0 - z*p**3 + 1/4*p = 0. What is p?
-1, 0, 1
Suppose 0 = 2*h - 3*h. Let k(a) be the first derivative of 1/3*a**2 + h*a + 2/9*a**3 - 3. Determine q so that k(q) = 0.
-1, 0
Let w = 6 + -4. Factor 4*m + 2*m**3 + 0 + m**w + 4*m**2 + 1.
(m + 1)**2*(2*m + 1)
Let a = -7 + 7. Let b be (-1 - a)*-2 - -3. Factor -k**b - k + 2*k - 2*k + 2*k**3.
-k*(k - 1)**2*(k + 1)**2
Let l = 55/51 - 7/17. Let q(x) be the first derivative of -1 + 3/4*x**4 - l*x**3 - 1/2*x**2 + 0*x. What is b in q(b) = 0?
-1/3, 0, 1
Suppose 10*d - 28*d = -19*d. Determine m so that -2/3*m + d - 1/3*m**3 + m**2 = 0.
0, 1, 2
Let j(t) be the first derivative of t**3 - 3*t**2 + 3*t + 2. Solve j(q) = 0.
1
Let z be (1 + 74/(-70))/(-2). Let w(b) be the third derivative of 0 + 0*b**3 + b**2 + 7/30*b**5 + z*b**7 + 0*b - 1/6*b**4 - 2/15*b**6. Factor w(d).
2*d*(d - 1)**2*(3*d - 2)
Let t(p) = -2*p**4 - 4*p**3 - 5*p**2 - 5*p + 5. Suppose 2*q + 0*q = -2. Let y(z) = z**2 + z - 1. Let n(v) = q*t(v) - 5*y(v). Find g, given that n(g) = 0.
-2, 0
Let v(s) be the third derivative of -s**5/390 - s**4/52 - 2*s**3/39 - 10*s**2. Let v(a) = 0. Calculate a.
-2, -1
Let z(y) be the second derivative of -y*