ven that k(a) = 0.
0
Let m(k) = k + 1. Let q(r) = -7*r - 9*r - 2*r**2 + 4*r - 24 - 14*r. Let f(y) = -44*m(y) - 2*q(y). Factor f(n).
4*(n + 1)**2
Let a(q) be the second derivative of q**6/300 - q**5/75 + q**4/60 - q**2 - 7*q. Let x(p) be the first derivative of a(p). Factor x(o).
2*o*(o - 1)**2/5
Factor 0 + 7/3*u + 1/3*u**2.
u*(u + 7)/3
Let d = 0 - -4. Let t(a) = 3*a**3 - 3*a**3 - d*a**3 - 3*a**2 - 4*a. Let z(p) = 5*p**3 + 4*p**2 + 5*p. Let v(h) = 6*t(h) + 5*z(h). What is j in v(j) = 0?
-1, 0
Let d be 2*-1*27/(-18). Let 12/5*h**2 - 2*h**d - 2/5*h + 0 = 0. Calculate h.
0, 1/5, 1
Let q(v) = -v**3 + 15*v**2 + 14*v + 33. Let r be q(16). Let a + 21/4*a**3 - 29/4*a**2 + r = 0. Calculate a.
-2/7, 2/3, 1
Let t be 1*(6 - (4 - 1)). Let p(m) be the third derivative of m**2 - 7/30*m**5 + 0*m + 0*m**t - 1/12*m**6 + 0 - 1/6*m**4. Factor p(l).
-2*l*(l + 1)*(5*l + 2)
Let f(d) be the third derivative of d**8/504 - d**6/90 + d**4/36 - 21*d**2. Suppose f(p) = 0. What is p?
-1, 0, 1
Let y(h) be the second derivative of -h**5/180 + h**4/72 - 7*h**2/2 + 3*h. Let q(f) be the first derivative of y(f). Factor q(c).
-c*(c - 1)/3
Suppose -3*j - 6 = 2*v, 10 = -4*j + 2. Let f = v + 2. Solve 3*z - 2*z**f - 4*z + 3*z = 0 for z.
0, 1
Suppose 3*v - 15 - 16 = -4*n, -3*n + 4*v - 8 = 0. Let y(h) be the second derivative of -1/16*h**n + 0*h**2 + 0 - 1/4*h**3 + h. Factor y(d).
-3*d*(d + 2)/4
Let x(u) be the first derivative of -u**5/120 - u**4/8 - 3*u**3/4 - u**2/2 - 5. Let s(q) be the second derivative of x(q). Suppose s(f) = 0. What is f?
-3
Suppose u + g - 4 = 2*g, -32 = -3*u - 2*g. Suppose 0 = n + 3*n - u. Factor 2/7*q**n + 4/7 - 6/7*q.
2*(q - 2)*(q - 1)/7
Let x(b) be the first derivative of b**3/6 - b**2 + 2*b - 4. What is w in x(w) = 0?
2
Determine f, given that 46/3*f**2 + 160/3*f - 128/3 + f**3 = 0.
-8, 2/3
Let u = -1 + 2. Let z be u/2 + (-26)/(-4). Factor 4*q**2 - 14*q**3 - 14*q**5 + z*q**4 + 0*q**2 + 25*q**4 - 8*q**3.
-2*q**2*(q - 1)**2*(7*q - 2)
Let d = -166 - -1496/9. Let b be -3*1/4 + (-688)/(-576). Let d + 2/9*f**2 + b*f = 0. What is f?
-1
Let l(y) be the second derivative of -y**6/10 + 3*y**5/20 + y**4/2 + 4*y. Factor l(r).
-3*r**2*(r - 2)*(r + 1)
Let u be (-3)/2 - (5/(-20) - 2). Determine y so that u*y + y**2 + 0 = 0.
-3/4, 0
Let f = 8 + -8. Suppose 3*a - 5*a = -5*l, -l - 2*a = f. Factor 0*i + l - 1/4*i**2.
-i**2/4
Let f(d) be the second derivative of 0*d**2 - 2/9*d**3 - d - 1/18*d**4 + 0. Factor f(a).
-2*a*(a + 2)/3
Suppose 0 + 4/5*x**3 + 0*x - 4/5*x**2 + 2/5*x**5 + 7/5*x**4 = 0. Calculate x.
-2, 0, 1/2
Determine m so that 0 - 6*m - 1 - 2 - 3*m**2 = 0.
-1
Let b(l) = -8*l**5 + l**4 + 7*l**3 + 7*l**2 - 8*l + 1. Let f(s) = -2*s**5 + 2*s**3 + 2*s**2 - 2*s. Let a = -3 + -6. Let o(k) = a*f(k) + 2*b(k). Factor o(v).
2*(v - 1)**2*(v + 1)**3
Let l be 4 + 26 + 2*-1. Determine n so that 12*n**3 - 2*n - l*n**2 - 3*n**3 + 19*n**5 + 3*n**3 + 90*n**4 + 35*n**5 + 2 = 0.
-1, -1/3, 1/3
Let r = -45 - -271/6. Let p(k) be the second derivative of 0*k**2 + k + 1/15*k**6 + 0*k**5 + 0 - r*k**4 + 0*k**3. Determine u, given that p(u) = 0.
-1, 0, 1
Let q(p) be the second derivative of -13*p**7/105 - 2*p**6/75 + 13*p**5/25 + 2*p**4/15 - 13*p**3/15 - 2*p**2/5 + 42*p. Find l such that q(l) = 0.
-1, -2/13, 1
Let d(c) be the first derivative of c**4/4 + 10*c**3/3 + 9*c**2/2 + 2*c + 3. Let z be d(-9). Solve 3*f**2 + 0 - 8*f - 5*f**z - 8 = 0 for f.
-2
Let z(t) be the first derivative of -t**3/12 - t**2/8 - 8. Solve z(p) = 0 for p.
-1, 0
Let v(s) = s**4 + 5*s**3 - 3*s**3 + s - 7*s**2 - 6 + 3*s**3. Let x(z) = z**4 + 4*z**3 - 6*z**2 + z - 5. Let t(m) = -5*v(m) + 6*x(m). Let t(i) = 0. Calculate i.
-1, 0, 1
Let b = 112 - 335/3. Factor b*a**2 + a + 2/3.
(a + 1)*(a + 2)/3
Let x(c) be the first derivative of -2 - 6*c - 2*c**3 + 9/4*c**4 - 21/2*c**2. Factor x(v).
3*(v - 2)*(v + 1)*(3*v + 1)
Let a = -2/9387 - -4103/375480. Let l(u) be the third derivative of -1/24*u**3 + a*u**7 + 1/16*u**4 + 0 + u**2 - 1/30*u**5 - 1/80*u**6 + 0*u. Factor l(k).
(k - 1)*(k + 1)*(3*k - 1)**2/4
Suppose -4 = 2*g, -g + 0*g = v. Determine d, given that 0 - 2 + 6 - 4*d**v = 0.
-1, 1
Let s be 216/22 + 2/11. Let q be (6/(-5))/((-4)/s). Solve 0*n - 8*n**2 + 5*n**q - 4 + 6 + n = 0.
-2/5, 1
Let s(k) = -36*k**5 - 16*k**4 + 40*k**3 - 36*k + 16. Let m(x) = 7*x**5 + 3*x**4 - 8*x**3 + 7*x - 3. Let a(l) = 16*m(l) + 3*s(l). Factor a(p).
4*p*(p - 1)**2*(p + 1)**2
Let c(f) = 2*f**2 - 11*f - 13. Let u(i) = -i**2 + i - 1. Let x(a) = -c(a) - 3*u(a). Determine s so that x(s) = 0.
-4
Determine w so that -w**2 - 1/3 + 5/3*w - 3*w**3 = 0.
-1, 1/3
Let m(t) be the first derivative of -t**5/6 + 7*t**4/24 + t**3/6 - 7*t**2/12 + t/3 - 5. Suppose m(u) = 0. Calculate u.
-1, 2/5, 1
Let o be 52/(-16) - 1 - -5. Find h, given that 0*h**3 + 0 + o*h**2 - 1/4*h**4 - 1/2*h = 0.
-2, 0, 1
Let l be (0 - -3)*(-4)/(-21). Factor 5/7*w + l*w**2 + 1/7.
(w + 1)*(4*w + 1)/7
Let l be (-2)/17 - -4*568/816. Factor 8/3*i - l - 2/3*i**2.
-2*(i - 2)**2/3
Let a = 3 + -5. Let n(u) = -u. Let d be n(a). Factor 2*f + 4*f**3 - 1 + 0*f - 6*f**2 + d*f - f**4.
-(f - 1)**4
Let g(p) = -14*p - 3. Let l be g(6). Let n be (-8)/36 + l/(-27). Solve -2/9*f**2 + 0 + 0*f + 4/9*f**n - 2/9*f**4 = 0 for f.
0, 1
Let p be 4/3*15/4. Factor 4*f**5 - 6*f**5 - 12*f**3 - 12*f**4 + f**p - 3*f**5 - 4*f**2.
-4*f**2*(f + 1)**3
Solve 1/2*z**2 - 1/6*z + 1/6*z**3 - 1/2 = 0.
-3, -1, 1
Suppose -4*i + 5*v = v - 36, v + 29 = 5*i. Let f be (-2)/(-4) + 6/(-12). Determine l, given that 2/7*l**i + 2/7*l**3 + 0*l**2 - 4/7*l**4 + 0*l + f = 0.
0, 1
Let a(z) be the second derivative of z**7/63 - 2*z**6/45 + z**4/9 - z**3/9 - 12*z. Factor a(c).
2*c*(c - 1)**3*(c + 1)/3
Let f(g) = -g - 5. Let r be f(5). Let w = -46/5 - r. Suppose 0*d**2 + 2/5 - 4/5*d**3 + w*d - 2/5*d**4 = 0. What is d?
-1, 1
Let r(k) be the second derivative of -k**6/360 - k**5/90 - k**4/72 + k**2 + 7*k. Let n(v) be the first derivative of r(v). Determine q, given that n(q) = 0.
-1, 0
Let r(z) = -z**3 + 1. Let n(h) = -11*h**3 - 16*h**2 - 11*h + 2. Let g(d) = -n(d) + 4*r(d). Determine i so that g(i) = 0.
-1, -2/7
Let j(z) be the first derivative of -1 + 4*z + 3*z**2 + 2/3*z**3. Factor j(f).
2*(f + 1)*(f + 2)
Let d be (-4)/18 + (-60)/(-27). Suppose 2*a - 6 = -d. Find s such that -s**3 + 0*s**2 + 4*s - a + s**2 + 1 - 3*s = 0.
-1, 1
Let t(q) = -4*q + 0*q - 4*q**2 - 5*q**3 - 3 + 3*q**3 + 2*q. Let b(x) = x**3 + x**2 + 1. Let g be (-2 - -3)*1 - 4. Let m(r) = g*b(r) - t(r). Factor m(v).
-v*(v - 2)*(v + 1)
Let z(j) be the third derivative of -j**8/2016 + j**7/315 - j**6/180 - j**5/180 + 5*j**4/144 - j**3/18 - 3*j**2 + 1. Find a, given that z(a) = 0.
-1, 1, 2
Let p = 14 - 10. Let c(i) = i**3 - 3*i**2 - 3*i - 4. Let u be c(p). Find b, given that 2/5*b**2 + u*b + 0 = 0.
0
Let d be 0 - ((-1)/(-1) + -4). Suppose 4*k - d = 3*k. Factor 0*c**k + 2/5*c**4 + 0 + 0*c - 2/5*c**2.
2*c**2*(c - 1)*(c + 1)/5
Let p = 27 + -23. Suppose 0 = p*u + 3*j - 23, -3*u = -5*u + j - 1. Factor -1/2*g**4 + 0 + 1/2*g**u + 0*g**3 - 1/4*g + 1/4*g**5.
g*(g - 1)**3*(g + 1)/4
Let k(q) = -q**5 + q**2. Let v(r) = 2*r**5 + 2*r**4 - r**3 - 3*r**2. Let l(c) = 6*k(c) + 2*v(c). Factor l(p).
-2*p**3*(p - 1)**2
Find o such that 34/3*o**2 - 2*o**4 - 26/3*o**3 - 2*o + 8/3*o**5 - 4/3 = 0.
-2, -1/4, 1
Suppose -3*z + 174 = 4*v + 2*z, 3*v - 136 = -z. Factor -2 - 11*k**3 + 25*k - 3*k**4 - 15*k**2 - v*k + 12*k.
-(k + 1)**3*(3*k + 2)
Let y(o) be the second derivative of o**6/195 - 4*o**5/13 + 7*o**4 - 208*o**3/3 + 169*o**2 + 3*o - 1. Determine g so that y(g) = 0.
1, 13
Find i, given that 1 - 5/6*i + 1/6*i**2 = 0.
2, 3
Let 4/7*r - 2/7*r**5 + 6/7*r**3 + 2/7*r**4 - 10/7*r**2 + 0 = 0. Calculate r.
-2, 0, 1
Let y = 3/16 + 1/16. Factor -1/4*o**3 + y*o**2 + 0*o + 0.
-o**2*(o - 1)/4
Let j(c) be the second derivative of c**7/252 - c**6/180 - c**5/20 + 27*c. Factor j(b).
b**3*(b - 3)*(b + 2)/6
Let j(z) be the second derivative of -z**7/70 - z**6/50 + 9*z**5/100 + z**4/4 + z**3/5 + 3*z. Determine h, given that j(h) = 0.
-1, 0, 2
Let f(q) be the first derivative of 2/3*q**3 - 2 - 1/5*q**4 - 4/5*q**2 + 2/5*q. Factor f(v).
-2*(v - 1)**2*(2*v - 1)/5
Let w = -11 - -7. Let k be 12/3 + 2 + w. Solve -12*d**k - 1 + 2*d**4 - 5*d**4 - 12*d**3 - 6*d + 2*d**3 = 0.
-1, -1/3
Let n be ((-1)/(-4))/(3/18). Let m = n - 1. Factor m*i**4 - 1/6*i**3 - 5/6