*5/10 - 13*f**4/8 + 3*f**3/2 - 9*f**2. Find w such that x(w) = 0.
1, 3
Let x(t) be the third derivative of -t**5/15 - t**4/6 + 4*t**3/3 - 4*t**2. What is w in x(w) = 0?
-2, 1
Let q(u) = 22*u - 42. Let j be q(2). Factor 2/5*t**j + 0 - 2/5*t.
2*t*(t - 1)/5
Let f(y) = 3*y**2 - 28*y + 52. Let a(u) = u - 1. Let q(h) = -4*a(h) - f(h). Solve q(v) = 0.
4
Let x(a) be the first derivative of -a**5/30 - a**4/8 - a**3/18 + a**2/4 + a/3 - 10. Suppose x(u) = 0. Calculate u.
-2, -1, 1
Factor 54*i - 76*i - 3*i**2 + 3*i**2 - 2*i**2.
-2*i*(i + 11)
Let m = 658 + -656. Factor -3/5*d**3 - 3/5*d + 0 + 6/5*d**m.
-3*d*(d - 1)**2/5
Let a(z) = -5*z**2 + z - 10. Let j(t) = 2*t**2 - t + 5. Let g(l) = 3*a(l) + 7*j(l). Let s be g(-5). Let s*i + 0*i**3 - 2/5*i**4 + 4/5*i**2 - 2/5 = 0. What is i?
-1, 1
Let f(x) = -x**4 - 7*x**3 + 5*x**2 + 9*x - 9. Let j(t) = t**4 + 6*t**3 - 4*t**2 - 10*t + 9. Let g(a) = 2*f(a) + 3*j(a). Let g(z) = 0. What is z?
-3, 1
Let c = -6 - -9. Let m(i) be the first derivative of 0*i**3 + i**3 - c + 6 - 5. Factor m(k).
3*k**2
Suppose -2*z**3 - 4*z**3 + 9*z**4 - 9*z + 9*z = 0. Calculate z.
0, 2/3
Factor 12*t + 18/7 + 50/7*t**2 + 8/7*t**3.
2*(t + 3)**2*(4*t + 1)/7
Let t(o) be the third derivative of 4*o**2 + 0 + 1/105*o**7 + 0*o**3 + 0*o + 0*o**5 + 1/30*o**6 + 0*o**4. What is a in t(a) = 0?
-2, 0
Let o = -759/4 + 190. Suppose -1/4*b**3 + o*b + 0 + 0*b**2 = 0. Calculate b.
-1, 0, 1
Let j be (510/(-45))/17*12/(-14). Factor 2/7*v - j + 2/7*v**2.
2*(v - 1)*(v + 2)/7
Let m(y) be the first derivative of -5*y**6/6 - 3*y**5 - 5*y**4/2 + 3. Factor m(u).
-5*u**3*(u + 1)*(u + 2)
Let l(i) = 20*i**5 + 4*i**4 - 4*i**3 - 8*i**2 + 20*i + 4. Let g(q) = -q**5 - q. Let p(z) = 36*g(z) + 2*l(z). Let p(b) = 0. Calculate b.
-2, -1, 1
Let k(s) be the first derivative of -s**3 + 3/5*s**5 - 1/2*s**6 + 3/4*s**4 + 0*s**2 + 0*s - 1. Factor k(z).
-3*z**2*(z - 1)**2*(z + 1)
Let u be 0/(0 + -8 + 9). Factor 4/7*d**3 - 2/7*d**2 + u - 4/7*d + 2/7*d**4.
2*d*(d - 1)*(d + 1)*(d + 2)/7
Let j(l) be the first derivative of -l**4/4 - 8*l**3/3 + 2*l - 2. Let s be j(-8). Suppose 4*i**3 + i**2 - s*i**4 - 5*i**2 + 2*i**2 = 0. What is i?
0, 1
Let y be (12/(-8))/((-4)/96). Let a(q) = -16*q**3 - 16*q**2 + 18*q + 18. Let h(d) = d**3 + d**2 - d - 1. Let b(z) = y*h(z) + 2*a(z). Find g such that b(g) = 0.
-1, 0
Let d(b) be the second derivative of b**4/6 + 2*b**3/3 + b**2 + 3*b. Factor d(l).
2*(l + 1)**2
Let z be (-3)/(1 - 4) - 1. Let u(y) be the third derivative of z*y**3 + 0*y - 2*y**2 - 1/48*y**4 - 1/60*y**5 + 0. Suppose u(k) = 0. What is k?
-1/2, 0
Let j(t) be the first derivative of -t**6/180 - t**5/30 - t**4/12 - t**3/3 - 7. Let w(m) be the third derivative of j(m). Factor w(g).
-2*(g + 1)**2
Let g(j) = -j**2 - 4*j + 7. Let h be g(-5). Factor h*w**4 + 4*w**5 + 8*w**3 - 4*w**3 + 6*w**4.
4*w**3*(w + 1)**2
Factor 1/2*k**3 + 0 + 2*k**2 + 0*k.
k**2*(k + 4)/2
Let m(k) be the second derivative of -2*k**7/147 - 2*k**6/105 + k**5/35 + k**4/21 + 16*k. Factor m(a).
-4*a**2*(a - 1)*(a + 1)**2/7
Suppose 4 = -6*t + 8*t. Determine f, given that -2 - f + f**2 + 0*f**2 + t = 0.
0, 1
Let x(w) be the second derivative of -1/6*w**4 + 4*w + 2/3*w**3 + 0*w**2 + 0. Factor x(i).
-2*i*(i - 2)
Let k(p) = 4*p**3 - 2*p**2 + 2*p + 2. Let n(f) = 9*f**3 - 4*f**2 + 4*f + 4. Let j(l) = -13*k(l) + 6*n(l). Suppose j(q) = 0. What is q?
-1, 1
Suppose -2*x + 12 = 6. Let k(m) be the first derivative of -1/8*m**2 - 2 + 1/12*m**x + 0*m. Factor k(r).
r*(r - 1)/4
Factor -9/5*w + 3/5*w**2 - 12/5.
3*(w - 4)*(w + 1)/5
Let d = 6 + -2. Let c(y) be the first derivative of 2/3*y + 1/6*y**d + y**2 - 2 + 2/3*y**3. Factor c(b).
2*(b + 1)**3/3
Let k(b) be the first derivative of -b**6/36 + b**5/30 + b**4/12 - 1. Factor k(a).
-a**3*(a - 2)*(a + 1)/6
Suppose -3*l + 3 - 6 = 0. Let a be l - 6*7/(-10). Find o such that 2/5*o**4 + 8/5*o + 8/5*o**5 - a*o**3 + 2/5 - 4/5*o**2 = 0.
-1, -1/4, 1
Let t(j) be the first derivative of -j**4 + 2*j**3 - 2*j - 1. Factor t(z).
-2*(z - 1)**2*(2*z + 1)
Suppose 5*t = -0*t. Let x = t - 0. Determine w so that x + 1/4*w**2 + 0*w = 0.
0
Let u(t) = -t**3 + t**2 + 3. Let w be u(0). Let f(n) be the second derivative of 0 + 1/15*n**w + 32/75*n**6 - 1/5*n**4 + 0*n**2 + 0*n**5 + n. Factor f(m).
2*m*(2*m + 1)*(4*m - 1)**2/5
Let z(r) be the first derivative of 4*r**3/27 + 2*r**2/9 - 8*r/9 + 17. Determine c so that z(c) = 0.
-2, 1
Let t be (-8015)/(-220) + 2*-2. Let w = t - 129/4. Find l, given that -w*l**2 + 0*l**3 + 0 + 2/11*l**4 + 0*l = 0.
-1, 0, 1
Let j(y) be the second derivative of y**7/112 - y**6/40 - 3*y**5/160 + y**4/16 + 6*y + 1. Solve j(p) = 0.
-1, 0, 1, 2
Let v(i) be the third derivative of 0 - 2*i**2 - 2/21*i**3 - 5/84*i**4 + 0*i - 2/105*i**5 - 1/420*i**6. Let v(j) = 0. Calculate j.
-2, -1
Let a be ((-8)/(-4) - 0) + -3. Let b(l) = l**2 - l + 1. Let t(n) = 2*n**2 - n + 3. Let o(p) = a*t(p) + 3*b(p). Find q such that o(q) = 0.
0, 2
Solve 2*l**4 + 10*l**4 + 4 - 2*l**4 - 6*l - 14*l**2 + 6*l**3 = 0 for l.
-1, 2/5, 1
Let f = 1 - -1. Suppose f - 6 = -a. What is d in 2*d - 1 - 2*d**2 + d**a - 2*d**3 + 1 + d**4 = 0?
-1, 0, 1
Let q(j) be the third derivative of j**6/1020 + j**5/85 + j**4/17 + 8*j**3/51 + 5*j**2. Find a such that q(a) = 0.
-2
Let h = 266 - 262. Let f be (-3)/((-9)/4) + -1. Factor 0 - f*o**5 + 1/3*o + 2/3*o**h + 0*o**3 - 2/3*o**2.
-o*(o - 1)**3*(o + 1)/3
Let w = -112 - -117. Find b, given that -2/3*b**3 + 0*b - 2/9*b**2 - 2/3*b**4 + 0 - 2/9*b**w = 0.
-1, 0
Let u(k) be the second derivative of k**5/4 - 5*k**4/3 + 10*k**3/3 + 6*k. Determine f so that u(f) = 0.
0, 2
Factor -1/2*c + 1/4*c**2 + 1/4.
(c - 1)**2/4
Suppose -52*i**2 + 0*i + i + 24*i**4 + 15*i**3 - 13*i + 24 - 9*i**5 - 2*i**2 = 0. What is i?
-1, 2/3, 2
Suppose 2/3*n**3 + 10/9*n**2 + 4/9*n + 0 = 0. What is n?
-1, -2/3, 0
Let v be (30/(-24))/(-5) + 1. Find m, given that -1/4 - v*m**2 + 3/2*m = 0.
1/5, 1
Let a = -11429/30 + 381. Let i(k) be the second derivative of 0*k**2 - a*k**5 - 3*k + 0 + 1/9*k**4 - 1/9*k**3. Solve i(s) = 0 for s.
0, 1
Let g(z) be the third derivative of -z**5/20 - z**4/4 - z**3/2 + 8*z**2. Factor g(p).
-3*(p + 1)**2
Let s(j) = -21*j**2 - 111*j - 189. Let q(r) be the first derivative of -r**3 - 8*r**2 - 27*r - 2. Let z(g) = 15*q(g) - 2*s(g). Let z(u) = 0. What is u?
-3
Find a, given that 9/2 + 1/2*a**2 + 5*a = 0.
-9, -1
Let w = 24883/482 + -30/241. Let t = w - 50. Suppose 0*i + 0 - t*i**3 + 3*i**2 - 3/2*i**4 = 0. Calculate i.
-2, 0, 1
Suppose 5*i + 0*i + 80 = 0. Let d be -3 - (i/6 + -1). Factor 2/3*k**2 + 1/3 - 1/3*k**5 - d*k**3 - k**4 + k.
-(k - 1)*(k + 1)**4/3
Let y(f) = 24*f**4 - 14*f**3 + 12*f**2 + 8*f + 24. Let u(o) be the first derivative of -o**5/5 + o**4/4 - o + 2. Let c(q) = -44*u(q) - 2*y(q). Factor c(w).
-4*(w + 1)**4
Let l(t) = -2*t + 20. Let w be l(11). Let c be 6/(-1)*w/42. Determine a so that 2/7*a**2 - c + 0*a = 0.
-1, 1
Let g(t) = t**2 - 2*t - 3. Let c be g(3). Let i(o) be the third derivative of 2*o**2 + 0*o + 0*o**4 + c + 0*o**3 + 1/200*o**6 - 1/150*o**5. Factor i(d).
d**2*(3*d - 2)/5
Suppose -3 = -4*v - 23. Let c = v - -8. Factor 0*x + 0 + 2/9*x**c + 0*x**2.
2*x**3/9
Let h(r) be the third derivative of 0 - 1/180*r**5 + 0*r - 1/18*r**3 + 3*r**2 + 1/36*r**4. Factor h(g).
-(g - 1)**2/3
Let x(n) be the second derivative of -5*n**7/42 + n**5/4 - 15*n. Find l such that x(l) = 0.
-1, 0, 1
Let c(n) = n**4 + n**3 - n - 1. Let j(o) = -3*o**4 + 2*o**3 + 12*o**2 + 12*o + 4. Let b(z) = -4*c(z) - j(z). Factor b(h).
-h*(h + 2)**3
Let c be (1/(-1))/((-10)/(-60)). Let k be 2/c*(-48)/14. Suppose 2/7 + 10/7*r + k*r**2 = 0. Calculate r.
-1, -1/4
Let n = 21 + -15. Let y(h) be the third derivative of -1/30*h**5 + 0 + 1/6*h**4 + 0*h**3 - 1/60*h**n + 0*h + 2*h**2. Factor y(w).
-2*w*(w - 1)*(w + 2)
Let 2/15 - 8/15*n + 2/15*n**4 + 4/5*n**2 - 8/15*n**3 = 0. Calculate n.
1
Let q(b) be the second derivative of b**7/21 + 2*b**6/15 + b**5/10 + 7*b. Factor q(y).
2*y**3*(y + 1)**2
Let t = 11 - 9. Factor -r**4 + 3*r**4 + 12*r**t - 8*r - 8*r**3 + 2 + 0*r**4.
2*(r - 1)**4
Factor -3/4*w**2 + 0 - 1/4*w**3 - 1/2*w.
-w*(w + 1)*(w + 2)/4
Suppose -5*g + 18 - 3 = 0. Let f(n) be the third derivative of -1/240*n**5 + 0*n**g + 2*n**2 - 1/160*n**6 - 1/420*n**7 + 0*n**4 + 0 + 0*n. Factor f(v).
-v**2*(v + 1)*(2*v + 1)/4
Let b(s) = -2*s**4 - 9*s**3 + 16*s**2 - 9*s + 1. L