k + 4*k**2.
-k*(k - 1)*(3*k - 2)
Let w(k) be the second derivative of k**6/120 + 9*k**5/80 + 29*k**4/48 + 13*k**3/8 + 9*k**2/4 + 2*k. Let w(j) = 0. What is j?
-3, -2, -1
Suppose -j = 1, 2*y - j + 0 = 5. Suppose 7*b = l + 2*b - y, -3*l + 6 = 3*b. Factor k**4 + 0*k**3 + 0*k**3 - k**3 + k - 3*k**l + 2.
(k - 2)*(k - 1)*(k + 1)**2
Let w(y) = -y + 4. Let u be w(5). Let a = u + 3. Suppose a*r**2 - r**2 + r**2 = 0. What is r?
0
Suppose -2*p = -8, -3*n - 2*n = -4*p + 11. Let k = n - -3. Factor -4*b**3 - 2 + 4*b - 3*b + 2*b**k + 3*b + 0.
2*(b - 1)**3*(b + 1)
Let z be 1*(-1)/6*0. Let 1/2*h**2 - 1/2*h + z = 0. Calculate h.
0, 1
Find u such that -u**2 - 1/2*u + 1/2*u**3 + 1 = 0.
-1, 1, 2
Let c = 10/59 - 541/3540. Let b(z) be the third derivative of z**2 - 1/12*z**4 - c*z**6 + 0*z**3 - 1/15*z**5 + 0*z + 0. Suppose b(q) = 0. What is q?
-1, 0
Let o be 36/24*16/18. Let -12 + o*d**3 - 28/3*d**2 + 20*d = 0. What is d?
1, 3
Let u(c) be the second derivative of -c**6/70 + 3*c**5/140 + 7*c. Let u(k) = 0. What is k?
0, 1
Factor -24 - 3*l + 4*l**2 + 5*l + 2*l.
4*(l - 2)*(l + 3)
Let d = 79 - 79. Factor 9/2*f**4 + 3/2*f**2 + d*f + 0 + 3/2*f**5 + 9/2*f**3.
3*f**2*(f + 1)**3/2
Let u be (-2 - (-3)/3) + 3. Determine x, given that -x + 3*x**u - 2*x**2 - x**3 - 5*x**2 + 2*x**2 = 0.
-1, 0
Let k(u) = -u**2 - u. Let j(s) = 98*s**3 - 57*s**2 + 7*s. Let c(y) = 2*j(y) - 2*k(y). Find l, given that c(l) = 0.
0, 2/7
Let o(t) = 16*t**3 + 35*t**2 + 64*t + 45. Let b(q) = -3*q**3 - 7*q**2 - 13*q - 9. Let s(a) = -11*b(a) - 2*o(a). Factor s(r).
(r + 1)*(r + 3)**2
Let r(w) be the third derivative of w**8/672 + w**7/140 + w**6/80 + w**5/120 + w**2. Factor r(k).
k**2*(k + 1)**3/2
Let o(g) = 10*g**2 - g + 16. Let c(a) = a**2 + a - 1. Let b(x) = -18*c(x) + 2*o(x). Let b(j) = 0. Calculate j.
5
Let i(l) be the second derivative of l**4/30 - 4*l**2/5 + 30*l. Factor i(k).
2*(k - 2)*(k + 2)/5
Suppose -4*r + 10 = -2*r + 5*g, 3*r + 2*g = 15. Factor y**4 - 2*y**2 + 4*y**5 - 2*y**r - 2*y**3 + y**2.
y**2*(y - 1)*(y + 1)*(2*y + 1)
Let g(a) = a + 2. Let v be g(-5). Let p be -6*((-132)/(-45) + v). Find q, given that -p*q + 0 - 8/5*q**2 = 0.
-1/4, 0
Let m(n) = -3*n**3 - 10*n**2 - 4*n - 1. Let z be m(-3). Factor -10/9*d**3 - 4/9*d + 14/9*d**z + 0.
-2*d*(d - 1)*(5*d - 2)/9
Let t(v) be the second derivative of v**6/60 + v**5/20 - 35*v. Factor t(o).
o**3*(o + 2)/2
Let a = -3 + 3. Let r(h) be the third derivative of 0*h**4 + 2*h**2 + 1/120*h**5 + a + 0*h**3 + 0*h. Factor r(s).
s**2/2
Let g(m) be the third derivative of -m**6/120 - m**5/60 + m**4/24 + m**3/6 + m**2. What is v in g(v) = 0?
-1, 1
Let o(w) = 6*w**5 + 2*w**3. Let f(u) = -u**5 - u**3. Let l(b) = 4*f(b) + o(b). Determine g so that l(g) = 0.
-1, 0, 1
Let m(g) be the third derivative of g**6/12 + 7*g**5/90 - g**4/18 + 17*g**2. What is a in m(a) = 0?
-2/3, 0, 1/5
Let z(k) be the second derivative of 0*k**4 + 5*k + 0*k**2 + 0 + 1/70*k**5 + 0*k**3. Factor z(f).
2*f**3/7
Suppose 2*v = 5*r + 29, -r - 32 = 4*r - v. Let m(u) = -u**2 - 7*u + 5. Let k be m(r). Factor 2*n**k + 0*n**2 - 2/3*n**3 - 4/3*n**4 + 0*n + 0.
2*n**3*(n - 1)*(3*n + 1)/3
Let y(p) be the third derivative of -3*p**8/8960 - p**7/1440 + p**6/1440 - p**4/4 - 9*p**2. Let q(m) be the second derivative of y(m). Factor q(z).
-z*(z + 1)*(9*z - 2)/4
Let o(n) be the second derivative of n**4/66 + 2*n**3/33 + n**2/11 - 5*n. Determine p so that o(p) = 0.
-1
Factor -4*l**4 - 6*l**2 - 10*l**2 - 5*l**3 - 3*l + 35 - 10*l**3 - 33.
-(l + 1)**2*(l + 2)*(4*l - 1)
Factor 0*h - 1/3*h**4 + 0*h**2 + 1/3*h**3 + 0.
-h**3*(h - 1)/3
Let o(d) = -d + 1. Let u be o(-2). Factor 9*w**3 + 2 + 0*w - 11*w**u - 2*w**2 + 2*w.
-2*(w - 1)*(w + 1)**2
Let j(z) be the second derivative of 0 + 2/35*z**5 - 1/105*z**6 - 4*z + 4/21*z**3 - 1/7*z**2 - 1/7*z**4. Solve j(h) = 0.
1
Let y(j) be the second derivative of -3*j**5/40 - j**4/2 - 5*j**3/4 - 3*j**2/2 - 9*j. Determine c, given that y(c) = 0.
-2, -1
Let u = -26/85 - -12/17. Let 14/5*n**2 - 6/5*n**3 + u - 2*n = 0. What is n?
1/3, 1
Let h(a) be the second derivative of 2*a + 3/2*a**4 + 0 + 4/9*a**2 + 4/3*a**3. Factor h(s).
2*(9*s + 2)**2/9
Let t(g) be the third derivative of g**6/120 - g**5/30 + g**4/24 - 21*g**2. Solve t(z) = 0.
0, 1
Suppose -z = -4*h + 14, 3*z + h = -h + 14. Solve b**z - 1/2*b + 0 - 1/2*b**3 = 0 for b.
0, 1
Determine z so that 2/5*z**3 - 2*z**2 + 0 + 8/5*z = 0.
0, 1, 4
Factor -4/15*q + 2/15*q**2 + 0.
2*q*(q - 2)/15
Let k = -11 + 6. Let t(d) = -3*d**3 - 3*d**2 + d. Let x(b) = -2*b**3 - 2*b**2 + b. Let v(u) = k*x(u) + 3*t(u). Solve v(h) = 0.
-2, 0, 1
Let c(t) be the third derivative of t**6/600 - t**5/150 - t**4/40 - 14*t**2. Factor c(y).
y*(y - 3)*(y + 1)/5
Let y(d) be the third derivative of -d**8/1344 + d**7/140 - 13*d**6/480 + d**5/20 - d**4/24 + 15*d**2. Let y(g) = 0. What is g?
0, 1, 2
Suppose 3*a + 4*d - 13 = 0, -d = 2*a - 6*d - 1. Suppose -o + 3*j = -0*o + 7, 5*o - a*j - 13 = 0. Factor s**4 + 2 - 5/2*s**2 - s + 1/4*s**3 + 1/4*s**o.
(s - 1)**2*(s + 2)**3/4
Let l(o) be the second derivative of -2*o**7/105 - 2*o**6/5 - 18*o**5/5 - 18*o**4 - 54*o**3 - o**2 - 4*o. Let p(r) be the first derivative of l(r). Factor p(s).
-4*(s + 3)**4
Let r(l) be the second derivative of -l**6/360 - l**5/30 - l**4/6 + l**3/6 + 3*l. Let a(q) be the second derivative of r(q). Factor a(z).
-(z + 2)**2
Factor -14*x**4 + 15*x**4 + 15*x**4 + 7*x**3 - 21*x**3 - 2*x**5.
-2*x**3*(x - 7)*(x - 1)
Let r(w) = w + 22. Let k be r(-18). Let u(c) be the second derivative of 0 - 1/10*c**2 - c + 1/50*c**5 + 0*c**3 + 1/20*c**k. Let u(z) = 0. What is z?
-1, 1/2
Let 3*l**2 - 2*l**3 - 6 - 6*l**2 + 10*l + l**2 + 0*l**2 = 0. Calculate l.
-3, 1
Let 2/3*s**2 - 2/3*s**3 + 2/3*s**5 + 0 - 2/3*s**4 + 0*s = 0. What is s?
-1, 0, 1
Suppose 1/4*s**4 + 3/4*s**2 + 0 - 3/4*s**3 - 1/4*s = 0. What is s?
0, 1
Let t = -19/4 - -5. Factor 0 + 0*w + t*w**5 - 1/4*w**4 - 1/4*w**3 + 1/4*w**2.
w**2*(w - 1)**2*(w + 1)/4
Let v(z) be the third derivative of -1/60*z**6 + z**2 + 4/315*z**7 + 0*z + 0*z**3 - 1/90*z**5 + 0*z**4 + 0. Suppose v(r) = 0. What is r?
-1/4, 0, 1
Let c(q) = q**2 - 4*q + 1. Let z(u) = u. Let m(w) = c(w) + 2*z(w). Let m(v) = 0. Calculate v.
1
Suppose 0 = -5*a + a. Let r(j) be the third derivative of 0*j + 0*j**5 - 1/120*j**6 + 0*j**7 + 0 + 1/336*j**8 + j**2 + a*j**3 + 0*j**4. Solve r(g) = 0.
-1, 0, 1
Let n = -6 - -22. Factor 0*r**3 + 0*r**4 + 64*r - 27 - n*r**3 - 37 + 4*r**4.
4*(r - 2)**3*(r + 2)
Solve 0 + 1/4*c**4 - 3/4*c**3 - 5/4*c**2 - 1/2*c + 1/4*c**5 = 0.
-1, 0, 2
Let p(s) be the first derivative of 3*s**5/5 - 3*s**4/2 + s**3 + 9. Find a such that p(a) = 0.
0, 1
Let p = -6/41 - -182/123. Suppose -31*q = -28*q - 6. Let -2/3*i**2 - q*i - p = 0. What is i?
-2, -1
Let a = -32 - -26. Let m be a/(-28) - (-6)/21. Factor m*n**2 - 1/2*n + 0.
n*(n - 1)/2
Let o(v) be the second derivative of 0*v**4 + 0 + v - 1/40*v**5 + 1/12*v**3 + 0*v**2. Let o(t) = 0. Calculate t.
-1, 0, 1
Suppose 2 = -p - j, -2*p - 2*j - 22 = -6*p. Suppose 0*h = p*h - 6. Factor m**3 - 5/4*m**h + 1/4*m + 0.
m*(m - 1)*(4*m - 1)/4
Let k(p) be the first derivative of -p**3/6 + 5*p**2/4 - 3*p - 62. Factor k(v).
-(v - 3)*(v - 2)/2
Let z(r) be the third derivative of r**5/210 + r**4/28 + 2*r**3/21 + 10*r**2. Let z(m) = 0. Calculate m.
-2, -1
Suppose 2*o + o = d + 3, 2*d = 5*o - 4. Let v(a) be the first derivative of 3 + 0*a**o - 2/3*a + 2/9*a**3. Solve v(c) = 0.
-1, 1
Suppose -5*b = 2*x - 9, 2*x - b + 5*b = 8. Let j(z) be the second derivative of 2*z + 0*z**x - 1/20*z**5 + 0*z**3 + 1/12*z**4 + 0. Factor j(r).
-r**2*(r - 1)
Let u(h) be the first derivative of -h**6/6 + h**4/2 - h**2/2 + 20. What is k in u(k) = 0?
-1, 0, 1
Let u be (1 + -6)/(105/(-10) - -8). Find d, given that 0 + 0*d + 4/7*d**u - 2/7*d**3 = 0.
0, 2
Suppose -r - 2 = 2*x, -4*x = -x + 3*r - 3. Let v be 6/(3/3) + x. Let 2/9*b**5 + 4/9*b**4 + 0*b**2 + 0*b + 0 + 2/9*b**v = 0. What is b?
-1, 0
Suppose -3*k + 25 = 2*k. Let j(n) be the second derivative of 1/20*n**k + 0*n**3 + 0*n**2 - n - 1/12*n**4 + 0. What is l in j(l) = 0?
0, 1
Let g be (-2)/(-6) + (-5)/(-3). Let r = -1 - -3. Factor 2*v - r*v**g + v**2 + 0*v.
-v*(v - 2)
Let i be 20/(-6)*6/(-35). Find a, given that 2/7 + 2/7*a**2 - i*a = 0.
1
Let l be 2/3 + 44/33. Let d be 1/(-2) + 5/l. Factor 3*o**2 + 4 - 3*o - d - 4*o**2 - 4.
-(o + 1)*(o + 2)
Let k b