What is k in t(k) = 0?
-1, 2/3, 1, 3
Let x = 15 + -11. Let b(z) be the third derivative of 0*z + 0 - 7/60*z**x - 2/15*z**3 + 3/50*z**5 - 2*z**2. Factor b(h).
2*(h - 1)*(9*h + 2)/5
Let f(z) be the first derivative of -2*z**3/33 + 2*z**2/11 - 2*z/11 + 3. Factor f(t).
-2*(t - 1)**2/11
Let z be ((-1089)/110 - -12) + 4/10. Factor 1/2*k + 0 - k**5 - 3/2*k**3 + z*k**4 - 1/2*k**2.
-k*(k - 1)**3*(2*k + 1)/2
Let q = -4 + 8. Suppose q*a - 9 = -x, 0 = -2*x - x - 9. Let -1/3*k**2 + 1/3*k**4 + 0*k**a + 0*k + 0 = 0. Calculate k.
-1, 0, 1
Let d(y) be the third derivative of -5*y**8/336 + y**7/42 - 12*y**2. Let d(q) = 0. What is q?
0, 1
Let q(r) = r**3 - 7*r**2 + 10*r - 22. Let k be q(6). Factor 4/3 - 2/3*c**k + 2/3*c.
-2*(c - 2)*(c + 1)/3
Suppose 10/7*n**4 + 16/7*n + 8/7 - 18/7*n**2 - 16/7*n**3 = 0. What is n?
-1, -2/5, 1, 2
Let t = 3 - -1. Suppose k - 2 + t = 3*w, -3*w + 26 = 5*k. Let -6*u**3 - 13*u**2 - 4 - u**4 - 12*u - u**k + u**4 = 0. Calculate u.
-2, -1
Suppose c - 15 = -5*d + 4, -4*d - 4*c + 28 = 0. Factor -4*k - 2*k**2 - d*k + 5*k.
-2*k*(k + 1)
Let d(s) = -s**5 - 8*s**4 + 9*s**3 + 5*s**2 - 5. Let j(g) = 8*g**4 - 8*g**3 - 4*g**2 + 4. Let k(l) = -4*d(l) - 5*j(l). Factor k(q).
4*q**3*(q - 1)**2
Let w(s) be the second derivative of -1/2*s**2 - 1/30*s**6 + 1/10*s**5 + 0 - 1/6*s**3 + 1/6*s**4 + 3*s - 1/42*s**7. Factor w(r).
-(r - 1)**2*(r + 1)**3
Let y(n) be the second derivative of -1/42*n**4 - 3*n + 0*n**2 - 1/70*n**5 + 0*n**3 + 0. Let y(c) = 0. What is c?
-1, 0
Let s(c) be the third derivative of -c**5/15 - 2*c**4 - 22*c**3/3 - 41*c**2. Find u, given that s(u) = 0.
-11, -1
Solve -j**2 + 0*j + 0 - 1/2*j**3 = 0.
-2, 0
Let a(j) be the second derivative of j**8/2240 - j**6/240 + j**4/4 + 3*j. Let b(f) be the third derivative of a(f). Factor b(m).
3*m*(m - 1)*(m + 1)
Let b(p) be the third derivative of p**7/210 - p**5/60 - 2*p**2. Suppose b(q) = 0. What is q?
-1, 0, 1
Let u be 2*(-365)/200 + 4. Let g = -1/10 + u. Factor 1/4*r**2 - g + 0*r.
(r - 1)*(r + 1)/4
Factor -4/5*z**4 - 12/5*z + 4/5*z**2 + 12/5*z**3 + 0.
-4*z*(z - 3)*(z - 1)*(z + 1)/5
Let p = -64897/78 + 832. Let g = p + 53/78. Find h, given that -2/3*h - g*h**3 + 0 - 4/3*h**2 = 0.
-1, 0
Let n(r) be the second derivative of r**6/10 + 3*r**5/10 - r**4/4 - r**3 + 40*r. Solve n(f) = 0 for f.
-2, -1, 0, 1
Let z(p) = -7*p**4 - p**3 - 9*p - 3. Let l(h) be the first derivative of -h**5/5 - h**4/4 - h**2/2 - h + 6. Let b(x) = 5*l(x) - z(x). Factor b(i).
2*(i - 1)**3*(i + 1)
Let y be ((-11)/33)/(2/(-18)). Suppose -1/3*f**4 + 0 - 1/3*f**5 + 1/3*f**2 + 1/3*f**y + 0*f = 0. Calculate f.
-1, 0, 1
Let w(b) be the third derivative of -b**8/224 - b**7/140 + b**6/80 + b**5/40 + b**2. Solve w(x) = 0.
-1, 0, 1
Find z such that z**2 - 1/2*z - 1 + 1/2*z**3 = 0.
-2, -1, 1
Let p(c) be the first derivative of -c**4/2 - 8*c**3/3 - 4*c**2 - 17. Let p(a) = 0. Calculate a.
-2, 0
Let b be 0 - 7 - (-4 - -2). Let o = b - -5. Find p such that 1/3*p**2 + 1/3*p + o = 0.
-1, 0
Let m(n) = 9*n**3 + 3*n**2 - 9*n. Let j(w) = -8*w**3 - 3*w**2 + 8*w - 1. Let o(u) = 3*j(u) + 4*m(u). Factor o(p).
3*(p - 1)*(p + 1)*(4*p + 1)
Let f(l) be the first derivative of l**4 + 8*l**3/3 - 2*l**2 - 8*l + 11. Factor f(x).
4*(x - 1)*(x + 1)*(x + 2)
Let d(y) be the second derivative of y**4/6 + 4*y**3 + 36*y**2 - 20*y. Determine v, given that d(v) = 0.
-6
Factor 0 + 2/3*j + 0*j**2 - 2/3*j**3.
-2*j*(j - 1)*(j + 1)/3
Let v(k) be the first derivative of 4*k**5/15 - 5*k**4/6 + 8*k**3/9 - k**2/3 + 9. Find x, given that v(x) = 0.
0, 1/2, 1
Let h = -1/222 + 2227/1554. Solve -8/7*v**2 + h*v - 2/7 = 0 for v.
1/4, 1
Let k = -8 + 5. Let m be (-4)/(-10) - (-44)/(-10). Let d(j) = -5*j**2 - j - 3. Let a(c) = 6*c**2 + 2*c + 4. Let b(w) = k*a(w) + m*d(w). Factor b(n).
2*n*(n - 1)
Let a(q) = 111*q**2 - 225*q - 159. Let c(p) = -7*p**2 + 14*p + 10. Let j(m) = -2*a(m) - 33*c(m). Let j(o) = 0. Calculate o.
-2/3, 2
Let g(x) = x**2 + 59*x + 4. Let i be g(0). What is n in 12/5*n**3 + 16/5*n**2 + 4/5 + 6/5*n**5 - 4*n**i - 18/5*n = 0?
-1, 1/3, 1, 2
Let m(x) be the first derivative of 4/5*x**2 - 4/15*x**3 + 1/30*x**4 - 10 - 16/15*x. Factor m(p).
2*(p - 2)**3/15
Let 2/5*o + 2/5*o**3 - 4/5*o**2 + 0 = 0. Calculate o.
0, 1
Suppose 0 - 1/2*l + l**2 - 1/2*l**3 = 0. Calculate l.
0, 1
Let h(l) = l + 2. Let d be h(1). Solve 0*y**2 + 2/5*y**d + 0 - 2/5*y = 0 for y.
-1, 0, 1
Let w(c) be the third derivative of c**8/504 - c**6/90 + c**4/36 - 5*c**2. Factor w(j).
2*j*(j - 1)**2*(j + 1)**2/3
Let x = 9 - 6. Factor -6*f - f**2 + 6*f + f**x.
f**2*(f - 1)
Let r(i) be the second derivative of -i**7/168 - i**6/40 - i**5/40 - 34*i. Factor r(m).
-m**3*(m + 1)*(m + 2)/4
Let f(d) = 3*d**2 - 2*d - 2. Let q be f(2). Let t be ((-1)/3)/((-1)/q). Factor 4/5*w + 0 - 18/5*w**t.
-2*w*(9*w - 2)/5
Factor 0*n - 5/4*n**4 + 2*n**3 + 0 - 3/4*n**2.
-n**2*(n - 1)*(5*n - 3)/4
What is r in -486/5*r - 2/5*r**3 + 1458/5 + 54/5*r**2 = 0?
9
Suppose -5*l + 30 = -7*u + 4*u, 2*u + 16 = 2*l. Let d be 4/6*(15/2 + -3). Let -4*h**2 - h**4 + 2*h**5 + 0*h**2 + 2*h**2 + d*h**2 - 2*h**l = 0. What is h?
-1, 0, 1/2, 1
Let f(n) be the first derivative of -4/5*n**2 - 2*n + 1/50*n**5 + 2 - 1/6*n**4 + 8/15*n**3. Let h(g) be the first derivative of f(g). Factor h(l).
2*(l - 2)**2*(l - 1)/5
Suppose -2*n + 5*b + 25 = 0, -2*n - 4 + 14 = -2*b. Determine y, given that n*y + 0 - 2/7*y**3 + 2/7*y**2 = 0.
0, 1
Let h(z) be the first derivative of z**5/100 + z**4/60 - 4*z - 3. Let r(c) be the first derivative of h(c). Factor r(n).
n**2*(n + 1)/5
Let y(d) = -d**2 + 2*d + 51. Let t be y(-6). Factor 0 + 0*i - 10/3*i**t + 2/3*i**2.
-2*i**2*(5*i - 1)/3
Let l(g) be the third derivative of 7*g**5/80 + 9*g**4/32 + g**3/4 - 19*g**2. Factor l(o).
3*(o + 1)*(7*o + 2)/4
Suppose -s**3 - s**2 - s + 3 + s + s - 2 = 0. What is s?
-1, 1
Let m be 10/2 + -3 - 2. Let d be (m/7)/(-1 + 0). Let -1/4*i + d - 1/4*i**2 = 0. Calculate i.
-1, 0
Let n(s) be the second derivative of 0 + 0*s**3 - 3/110*s**5 + 1/66*s**4 + 0*s**2 + 3*s + 1/55*s**6 - 1/231*s**7. Solve n(z) = 0 for z.
0, 1
Let d = 3/367 + 358/1101. Factor -1/3*k**2 + 2/3 + d*k.
-(k - 2)*(k + 1)/3
Let k(l) be the first derivative of 5 + 0*l - 1/2*l**2 - 3/4*l**4 - 4/3*l**3. Factor k(o).
-o*(o + 1)*(3*o + 1)
Let s(w) be the third derivative of w**9/120960 - w**7/10080 + w**5/960 - w**4/4 + w**2. Let u(q) be the second derivative of s(q). Let u(o) = 0. What is o?
-1, 1
Let c = 31 - 22. Let y be ((-12)/45)/((-6)/c). Solve 0*a + 0 + y*a**5 + 6/5*a**3 + 2/5*a**2 + 6/5*a**4 = 0.
-1, 0
Let b(j) = -j**3 - j - 1. Let i(h) = 4*h**4 - 16*h**3 + 72*h**2 - 68*h + 44. Let a(q) = 12*b(q) + i(q). Factor a(x).
4*(x - 2)**3*(x - 1)
Let g(r) be the second derivative of -3*r**5/20 + 13*r**4/4 - 23*r**3/2 + 33*r**2/2 - 34*r. What is o in g(o) = 0?
1, 11
Let a(l) be the third derivative of l**7/5040 - l**5/240 + l**4/12 - l**2. Let i(m) be the second derivative of a(m). Let i(k) = 0. Calculate k.
-1, 1
Let k = -123 + 126. What is i in 6/5*i + 2/5*i**k - 6/5*i**2 - 2/5 = 0?
1
Let k(q) be the third derivative of -q**6/60 - q**5/15 - q**4/12 - 29*q**2. Factor k(l).
-2*l*(l + 1)**2
Suppose 125*f - 12 = 122*f. Factor 2/5*j**f - 18/5*j**3 - 32/5*j + 0 + 48/5*j**2.
2*j*(j - 4)**2*(j - 1)/5
Let o(d) = 3*d**4 - 28*d**3 + 4*d**2 + 4*d + 4. Let f(z) = -6*z**4 + 55*z**3 - 7*z**2 - 7*z - 7. Let m(h) = -4*f(h) - 7*o(h). Factor m(a).
3*a**3*(a - 8)
Let y(k) = -13*k**3 + 2*k**2 - k. Let t be y(1). Let l be (-68)/t + 4/(-2). Find v, given that 2/3*v**2 + 0*v - l*v**3 - 7/3*v**5 + 16/3*v**4 + 0 = 0.
0, 2/7, 1
Suppose -2*o - 5*n - 2 + 13 = 0, 6 = 2*n. Let i = o + 2. Let -3*y - 3 + i*y + y**2 + 5 = 0. Calculate y.
1, 2
Let c(u) be the second derivative of -u**6/21 + 8*u**5/35 - 3*u**4/7 + 8*u**3/21 - u**2/7 - 8*u. Determine o, given that c(o) = 0.
1/5, 1
Let s(z) = -z + 5*z**3 - 1 - z**2 + 2 + 0*z**3 + 8*z. Let p(k) = -9*k**3 + k**2 - 13*k - 2. Let m(v) = 4*p(v) + 7*s(v). Solve m(g) = 0 for g.
-1
Let k = 13 - 10. Find p, given that p**2 - 9*p + 6 + 9*p**3 - 3*p**4 - k - 4*p**2 + 3 = 0.
-1, 1, 2
Let u(x) = 15*x**2 - 12*x - 24. Let i(y) = -y**2 + y + 1. Let m(j) = -12*i(j) - u(j). Let m(d) = 0. What is d?
-2, 2
Let m = 31/42 - 1/14. Let s(n) be the second derivative of -1/6*n**4 + 0*n**2 + 0 - m*n**3 + 2*n. Solve s(x) = 0 for x.
-2, 0
Let p(x) be the third derivative 