*u(v) + 5*y(v). Suppose s(z) = 0. What is z?
-1, 3
Let b = 14 + -18. Let l(o) = -5*o**2 - 2*o - 1. Let h(t) = 11*t**2 + 4*t + 2. Let d(u) = b*h(u) - 9*l(u). Let d(w) = 0. What is w?
-1
Let y(d) = 5*d**4 - 21*d**3 + 21*d - 16. Let s(f) = f**4 - 4*f**3 + 4*f - 3. Let n(q) = 11*s(q) - 2*y(q). Factor n(t).
(t - 1)**3*(t + 1)
Let n(c) be the first derivative of -2*c**5/35 - c**4/14 + 2*c**3/21 + c**2/7 + 2. Factor n(r).
-2*r*(r - 1)*(r + 1)**2/7
Suppose 2 - 47 = -15*g. Let -1/2*m + 2*m**2 - 2*m**4 + 1/2*m**g + 0 = 0. Calculate m.
-1, 0, 1/4, 1
Let -1/3*f + 1/3 + 1/3*f**3 - 1/3*f**2 = 0. Calculate f.
-1, 1
Let p = 18414 - 91517/5. Let f = 111 - p. Find g such that f*g**4 + 0*g - 2/5*g**3 + 0*g**2 + 0 = 0.
0, 1
Let k(p) be the second derivative of p**8/26880 - p**7/5040 + p**6/2880 + p**4/2 - 3*p. Let j(s) be the third derivative of k(s). Factor j(t).
t*(t - 1)**2/4
Let r(y) be the third derivative of -y**8/560 + y**6/40 + y**5/20 - y**3/2 + 2*y**2. Let z(g) be the first derivative of r(g). Determine o, given that z(o) = 0.
-1, 0, 2
Find b, given that 4*b**3 - 10*b**4 + 7*b**3 - 4*b - 3*b**3 - 2*b**2 + 8*b**3 = 0.
-2/5, 0, 1
Let d(m) = -m**4 - m**3 - m + 1. Let k(x) = -7*x**4 - 13*x**3 - 9*x**2 - 7*x + 4. Let f(q) = 4*d(q) - k(q). What is w in f(w) = 0?
-1, 0
Let o(x) be the second derivative of -2*x**7/21 - 2*x**6/15 + 14*x**5/5 - 26*x**4/3 + 38*x**3/3 - 10*x**2 + 13*x. Suppose o(n) = 0. What is n?
-5, 1
Suppose 2*w = 4*i - 20 + 2, -2*w = 4*i + 2. Let m = -2 + i. Factor -2/3*t**2 + 2/3*t**4 + 0*t + m - 2/3*t**5 + 2/3*t**3.
-2*t**2*(t - 1)**2*(t + 1)/3
Let l(u) be the first derivative of -u**3/3 + 5*u**2/14 + 2*u/7 + 14. Factor l(n).
-(n - 1)*(7*n + 2)/7
Let l(q) be the second derivative of -q**5/20 + q**2/2 + 3*q. Let r(y) = 7*y**3 + 2*y**2 - 6. Let b(z) = 6*l(z) + r(z). Determine w so that b(w) = 0.
-2, 0
Factor 0*p**2 - 2/5*p**4 + 0 + 0*p + 2/5*p**5 + 0*p**3.
2*p**4*(p - 1)/5
Suppose 0 = d + 2 - 0. Let k(r) = -3*r**3 - r**2 + 2. Let b(m) be the first derivative of 7*m**4/4 + m**3 - 5*m - 1. Let f(o) = d*b(o) - 5*k(o). Solve f(h) = 0.
0, 1
Let k(i) be the third derivative of -i**9/1512 + i**8/280 - i**7/140 + i**6/180 - i**3/2 + 4*i**2. Let r(a) be the first derivative of k(a). Factor r(l).
-2*l**2*(l - 1)**3
Let a = 809 + -8897/11. Suppose -a*o**2 - 8/11 - 8/11*o = 0. Calculate o.
-2
Let p(q) = -4*q**2 - q - 5. Suppose -5*x + 13 = -12. Let w(u) = u**2 + 1. Let s(y) = x*w(y) + p(y). Factor s(d).
d*(d - 1)
Solve -27/2*z + 45/8*z**2 - 3/8*z**4 + 3/4*z**3 + 0 = 0 for z.
-4, 0, 3
Let m(a) be the first derivative of -1/10*a**5 + 3/8*a**4 + 3 - 1/6*a**3 + a - 3/4*a**2. Factor m(y).
-(y - 2)*(y - 1)**2*(y + 1)/2
Suppose -5*q = -19 + 99. Let k(x) = 10*x**4 + 34*x**3 - 40*x - 16. Let c(n) = 3*n**4 + 11*n**3 - 13*n - 5. Let t(s) = q*c(s) + 5*k(s). What is z in t(z) = 0?
-1, 0, 2
Let x(b) be the second derivative of 4/9*b**3 - 2*b + 0 - 1/12*b**4 - 2/3*b**2. Factor x(p).
-(p - 2)*(3*p - 2)/3
Suppose -2*y + 2*p + 16 = -34, p = -4*y + 100. Suppose -5*t - s = 5, -5*s = t - 0*t + y. Determine c so that 2*c**3 + 2/3*c**2 + t*c + 0 = 0.
-1/3, 0
Let x(k) = k**3 - 3*k**2 + k. Let i be x(3). Find z, given that -z - 1 + 2*z**4 - z**5 - 3*z**4 + 0*z**i + 2*z**2 + 2*z**3 = 0.
-1, 1
Let z(n) = -3*n + 23. Let w be z(7). Let h(p) be the first derivative of 1/4*p - 1/12*p**3 + 0*p**w + 1. Factor h(s).
-(s - 1)*(s + 1)/4
Let k(s) = 10*s**2 + 12*s + 11. Let a(i) = -i**2 + 2*i + 2. Let o(u) = 2*u**2 - 5*u - 5. Let f(h) = -7*a(h) - 3*o(h). Let x(d) = -18*f(d) + 2*k(d). Factor x(r).
2*(r + 1)*(r + 2)
Let y be 225/6*(-3)/(-18). Let p = -6 + y. Suppose 0*f + p*f**5 + 0 - 1/4*f**3 + 1/4*f**4 - 1/4*f**2 = 0. What is f?
-1, 0, 1
Let g(j) = -j**3 + 4*j**2 - j - 1. Let f be g(2). Find w such that -40*w**4 + 35*w**f + 6*w**2 - 2*w**2 + w**4 = 0.
-2/7, 0, 2/5, 1
Let o(j) = -j**3 - 3*j**2 - 4*j - 2. Let u(z) = 3*z**3 + 7*z**2 + 9*z + 5. Let n(x) = -5*o(x) - 2*u(x). Find b, given that n(b) = 0.
-1, 0, 2
Let o = 180 - 2159/12. Let h(r) be the third derivative of 0*r - 2/3*r**3 + 0 + r**2 + 1/30*r**5 + o*r**4. Factor h(m).
2*(m - 1)*(m + 2)
Let g(v) be the third derivative of 1/48*v**4 + 0*v**3 + 1/120*v**5 + 0*v + 3*v**2 + 0. Factor g(f).
f*(f + 1)/2
Let g(s) be the first derivative of -4/15*s**5 + 0*s**2 - 1/6*s**4 + 0*s + 0*s**3 + 2. Factor g(j).
-2*j**3*(2*j + 1)/3
Factor -8 + 12*v + 0 + 13*v**2 - 16*v**2 + 12*v**3 + 35*v**2.
4*(v + 1)*(v + 2)*(3*v - 1)
Suppose 5*q = -2*y, -3*q + 4*y = -40 + 14. Solve 3*n**2 + 6*n - 4*n**3 - n**q - 2 + 6*n**3 - 8*n**2 = 0.
1
Factor 2*x**4 + 281 - 281 - 2*x**3 - 4*x**2.
2*x**2*(x - 2)*(x + 1)
Let a(i) be the second derivative of 11/80*i**5 + 0 + 1/24*i**4 + 1/168*i**7 - i + 1/20*i**6 - i**2 - 1/2*i**3. Factor a(j).
(j - 1)*(j + 1)*(j + 2)**3/4
Let t(v) be the first derivative of 1/6*v**3 - 2 + 2*v - 1/24*v**4 - 1/4*v**2. Let a(r) be the first derivative of t(r). Let a(l) = 0. What is l?
1
What is i in 3/2*i**4 + 0 + 0*i + 0*i**2 - 3/2*i**3 = 0?
0, 1
Let r = 14 - 5. Factor 7*m**4 - r*m**3 + 9*m**2 + m - 4*m**4 + m - 5*m.
3*m*(m - 1)**3
Suppose l - 4*l + 12 = -4*p, -16 = -4*l + p. Let t(r) be the first derivative of -1 - 1/16*r**l - 1/4*r + 1/8*r**2 + 1/12*r**3. Factor t(j).
-(j - 1)**2*(j + 1)/4
Suppose -2*n + 3*n = 5*i - 81, i = -4*n + 12. Suppose -4*l + 0*l - 3*m + 20 = 0, -3*m = 2*l - i. Factor -2*s**l - 2/3 - 8/3*s.
-2*(s + 1)*(3*s + 1)/3
Let z = 101 - 302/3. Solve z*v**3 - 10*v**2 - 1/3*v + 2/3 + 28/3*v**4 = 0 for v.
-1, -2/7, 1/4, 1
Suppose q = -g - 4 + 3, -q - 9 = -3*g. Let n be (g + -3)*(-2)/1. Find l, given that 6*l**3 - 2*l**3 - 2 - 2*l**3 + 2*l**2 - n*l = 0.
-1, 1
Let o(u) = -u - 1. Let d be o(-3). Let w(c) be the first derivative of c - d + c**2 + 1/3*c**3. Solve w(g) = 0 for g.
-1
Let r(c) be the first derivative of -5*c**6/6 - 6*c**5 - 35*c**4/2 - 80*c**3/3 - 45*c**2/2 - 10*c - 3. Factor r(v).
-5*(v + 1)**4*(v + 2)
Find k, given that -2/7*k**4 - 16/7 + 40/7*k + 2*k**3 - 36/7*k**2 = 0.
1, 2
Let p(z) be the first derivative of -2*z**7/735 + z**6/105 + 3*z**2 - 2. Let m(b) be the second derivative of p(b). Factor m(y).
-4*y**3*(y - 2)/7
Let m(s) = s**3 + 7*s**2 + 7*s + 3. Let w(a) = 3*a**3 + 27*a**2 + 27*a + 12. Let u(x) = -9*m(x) + 2*w(x). Factor u(d).
-3*(d + 1)**3
Suppose -23 = -4*q - 5*j, 0 = 2*q - 4*j - 0 + 8. Suppose 0*v**3 - q*v**3 - v**3 + 4*v**3 - v**5 = 0. What is v?
-1, 0, 1
Let c = -109/66 - -20/11. Let d(x) be the second derivative of -x + 0 - c*x**4 + 1/3*x**3 + 0*x**2. Factor d(z).
-2*z*(z - 1)
Let m(q) be the first derivative of q**5/40 - q**4/8 + q**3/4 - q**2/4 + 4*q - 1. Let c(o) be the first derivative of m(o). Factor c(g).
(g - 1)**3/2
Let m(f) = -f**2 - f - 6. Let h(z) = -5 + 5*z**2 - 3*z**2 - 3*z**2 + 0. Let w = -4 - -7. Let i(r) = w*m(r) - 4*h(r). Let i(u) = 0. What is u?
1, 2
Let l(o) be the second derivative of -o**7/84 - o**6/15 - 3*o**5/40 + o**4/6 + o**3/3 - 8*o. Let l(t) = 0. What is t?
-2, -1, 0, 1
Suppose 4*k + 2*u = -0 + 8, -2*k - 5*u + 20 = 0. Suppose 0 = j - 5*h - 12, 5*j - 3 - 3 = -2*h. Factor 2/3*w**3 + 0*w**j + k - 4/9*w**4 - 2/9*w.
-2*w*(w - 1)**2*(2*w + 1)/9
Let y(u) be the third derivative of -u**8/1512 - u**7/945 + u**6/540 + u**5/270 + 13*u**2. Solve y(i) = 0 for i.
-1, 0, 1
Let s(b) be the third derivative of b**7/42 - b**6/6 - b**5/6 + 5*b**4/2 + 15*b**3/2 + 10*b**2 + b. Factor s(m).
5*(m - 3)**2*(m + 1)**2
Factor -q**4 + 0*q**4 - 2*q**3 - q**4 - 2*q**3.
-2*q**3*(q + 2)
Find w such that -10/3*w + 8/3*w**5 - 82/3*w**2 + 2/3*w**3 + 32/3*w**4 + 50/3 = 0.
-5/2, -1, 1
Let f(i) be the first derivative of -3/20*i**5 + 0*i**2 - 1 + 1/4*i**4 + 1/30*i**6 - 1/6*i**3 + i. Let b(y) be the first derivative of f(y). Factor b(g).
g*(g - 1)**3
Let x(t) = 4*t - 3. Let w be (-1 - (-1 + 1)) + 3. Let k be x(w). Factor 3*l**4 - 4*l**k + 0*l**5 - 3 + 3 + l**3.
-l**3*(l - 1)*(4*l + 1)
Let l(n) be the third derivative of n**7/12600 + n**6/1800 - n**4/12 + 2*n**2. Let w(k) be the second derivative of l(k). Factor w(o).
o*(o + 2)/5
Factor 4/5*c**2 + 8/5*c + 16/15 + 2/15*c**3.
2*(c + 2)**3/15
Let n(l) be the third derivative of 0*l**3 - 2/75*l**5 + 0 - 17/105*l**7 - 3*l**2 - 5/56*l**8 + 0*l + 0*l**4 - 8/75*l**6. Solve n(g) = 0.
-2/5, -1/3, 0
Let x(f) be the first derivative of 0*f**2 + 0*f + 1 - 1/3*f**3. Let j(t) = 5*t**2 -