(d) = -4*d**5 - 2*d**4 + 2*d**3 - 6*d**2 + 6*d. Let f(x) = j(x) + 6*l(x). Let f(i) = 0. What is i?
-1, 0
Suppose -151 = -6*c + 17. Suppose -3*w = 4*u + 3, -4*u + 2*w + c = 6. Determine a, given that 0*a**2 + 0 + 2/11*a**u - 2/11*a = 0.
-1, 0, 1
Let z(c) = -10*c**2. Let u be z(1). Let x = -8 - u. Factor 2*h**x + 1/2 + 5/2*h.
(h + 1)*(4*h + 1)/2
Suppose -13 = 5*y + 32. Let h = 9 + y. Find q, given that h*q + 1/2*q**3 + 0 + 1/2*q**2 = 0.
-1, 0
Let l(h) be the first derivative of 242*h**3/45 - 22*h**2/5 + 6*h/5 + 6. Let l(a) = 0. What is a?
3/11
Let u = 159 - 3338/21. Let w(o) be the third derivative of -1/42*o**6 + u*o**5 - 1/1176*o**8 + 1/147*o**7 + 0*o + 1/21*o**3 - o**2 - 5/84*o**4 + 0. Factor w(x).
-2*(x - 1)**5/7
Let w(h) be the second derivative of h**6/120 - h**5/15 + 5*h**4/24 - h**3/3 - h**2/2 + 3*h. Let g(q) be the first derivative of w(q). Factor g(l).
(l - 2)*(l - 1)**2
Suppose 0 = -c - 2*c - 18. Let u be (-1 - -1)/((-6)/c). Solve 7/3*f**5 + 13/3*f**2 + 23/3*f**4 + 9*f**3 + 2/3*f + u = 0.
-1, -2/7, 0
Let h be (-3 + 4)/(1 - 2). Let v(r) = r - 1. Let z(m) = -m**3 + m - 1. Let l(q) = h*z(q) + v(q). Factor l(k).
k**3
Let r(u) be the first derivative of u**6/1260 + u**5/210 + u**4/84 + 2*u**3/3 - 2. Let b(v) be the third derivative of r(v). Factor b(c).
2*(c + 1)**2/7
Let d be (1/12)/((-25)/(-50)). Determine s so that 1/6 + 0*s - d*s**2 = 0.
-1, 1
Let g(o) be the first derivative of -o**6/5 + 8*o**5/25 + o**4/5 - 8*o**3/15 + o**2/5 + 4. What is a in g(a) = 0?
-1, 0, 1/3, 1
Let i(g) be the first derivative of -g**6/105 + g**5/70 + g**4/42 - g**3/21 - g + 1. Let y(w) be the first derivative of i(w). Determine d, given that y(d) = 0.
-1, 0, 1
Let o(i) be the third derivative of i**8/960 - i**7/210 - i**6/180 - i**4/12 - 5*i**2. Let m(x) be the second derivative of o(x). Factor m(k).
k*(k - 2)*(7*k + 2)
Suppose 2*a = -a - 12. Let z(j) = -3*j - 10. Let d be z(a). Factor 0 + 0*q + 4/3*q**3 + 2/3*q**d + 2/3*q**4.
2*q**2*(q + 1)**2/3
Let k(w) be the first derivative of -w**6/6 - 2*w**5/5 + 2*w**3/3 + w**2/2 - 21. Let k(q) = 0. Calculate q.
-1, 0, 1
Let m(n) = n - 15. Let a be m(19). Factor 0 - 1/2*f**2 - 1/6*f**a - 1/2*f**3 - 1/6*f.
-f*(f + 1)**3/6
Let q(i) be the second derivative of -i**5/5 - i**4/3 + 2*i**3/3 + 2*i**2 + i. Determine o so that q(o) = 0.
-1, 1
Let x(j) = j**3 - 2*j**2 - 3*j + 4. Let d be x(3). Determine s so that 8*s**d - 9*s - 16*s**2 + 4*s**4 + 3 + s**2 - 3*s**3 + 12*s**3 = 0.
-1, 1/4, 1
Let o(f) be the second derivative of f**4/108 - f**3/54 - f**2/9 + 31*f. Factor o(n).
(n - 2)*(n + 1)/9
Find v such that 5/3*v**3 + 0 - 20/3*v**2 + 20/3*v = 0.
0, 2
Factor 3/2*o**2 + 0*o + 0.
3*o**2/2
Let f = 51 + -36. Let g(c) = 36*c**2 + 6*c - 27. Let r(o) = -5*o**2 - o + 4. Let a(n) = f*r(n) + 2*g(n). Determine h, given that a(h) = 0.
-2, 1
Let p(o) be the third derivative of o**6/160 - o**5/8 + 9*o**4/32 - 3*o**2 + o. Determine b so that p(b) = 0.
0, 1, 9
Suppose -3 - 27 = -10*g. Let y(v) be the third derivative of 1/60*v**4 + 1/150*v**5 + 0 - 3*v**2 + 0*v - 1/300*v**6 - 1/15*v**g. Let y(h) = 0. What is h?
-1, 1
Let x(h) = h + 1. Let s be x(3). Let z(q) = -3*q**3 + 3*q + 4. Let a(b) = 2 - 7*b**3 + 7*b + 7 + 0. Let j(n) = s*a(n) - 9*z(n). Factor j(y).
-y*(y - 1)*(y + 1)
Let j = -31 + 32. Let r(m) be the first derivative of -1/2*m**4 - 3/2*m**2 + 1/2*m + 3/2*m**3 - j. Factor r(i).
-(i - 1)**2*(4*i - 1)/2
Suppose -3*f - 3*q = -2*q - 10, 4*f - 20 = -3*q. Let t(w) be the second derivative of 1/70*w**5 - 1/21*w**4 - f*w + 0*w**2 + 0 + 1/21*w**3. Factor t(a).
2*a*(a - 1)**2/7
Let a(r) = 6*r**2 + 3*r + 7. Let s(p) = 28 - 36 - 2*p**2 - 3*p - 5*p**2. Let c(q) = 6*a(q) + 5*s(q). Factor c(g).
(g + 1)*(g + 2)
Let h(t) be the first derivative of t**5/30 - 5*t - 4. Let c(v) be the first derivative of h(v). Find z such that c(z) = 0.
0
Let c(x) be the first derivative of -21*x**5/5 + 17*x**4/2 + 9*x**3 - 12*x**2 + 4*x - 29. Suppose c(w) = 0. Calculate w.
-1, 2/7, 1/3, 2
Let g(q) be the first derivative of 2/5*q + 2/5*q**2 - 1 + 2/15*q**3. Factor g(w).
2*(w + 1)**2/5
Let t(k) = 3*k**2 + 12*k - 9. Let z(v) = -4*v**2 - 13*v + 10. Let f(d) = -7*t(d) - 6*z(d). Factor f(s).
3*(s - 1)**2
Suppose 5*u = 2*d + 21, 5*d + 2*u - 7*u + 15 = 0. Factor -1 + 2 + 2*x**d - 5 - 2*x.
2*(x - 2)*(x + 1)
Let i(u) = -7*u**3 - 51*u**2 - 75*u - 27. Let s(n) = 10*n**3 + 76*n**2 + 112*n + 40. Let v(o) = 8*i(o) + 5*s(o). Factor v(c).
-2*(c + 2)**2*(3*c + 2)
Suppose -b = -0*b. Let h be -1 + 4 + -1 + b. Factor -3*d**2 + 2*d - 3*d**2 + 4*d**4 + h*d**2 - 2*d**5.
-2*d*(d - 1)**3*(d + 1)
Let f(z) = -z**2 + 3*z + 1. Let g(p) = p**2 - 6*p - 4. Let j be g(7). Let y(s) = s**2 - 2*s - 1. Let c(x) = j*y(x) + 2*f(x). Suppose c(r) = 0. Calculate r.
-1, 1
Suppose 1/4*d**4 + 0*d**3 - 2*d - 3/2*d**2 - 3/4 = 0. Calculate d.
-1, 3
Let v be (-92)/(-6) - 7 - 3. Solve -25/3*m**4 - 5/3*m**3 + 0 - 4/3*m + v*m**2 = 0 for m.
-1, 0, 2/5
Let j be ((-16)/20)/((-4)/10). Solve 8*h**3 + 8*h + 2*h**4 + 3*h**2 + 2*h**j + 2 + 7*h**2 = 0 for h.
-1
Suppose 650*z - 640*z - 20 = 0. Factor 0 - 4/3*g**3 + 1/3*g + g**z.
-g*(g - 1)*(4*g + 1)/3
Let w be (-12)/(-18) - (1 - 2/6). Find k such that 0*k + w + 2/7*k**2 = 0.
0
Let k = 25/12 + -11/6. Find p such that 1/4*p**2 + 1/4*p - k*p**3 - 1/4 = 0.
-1, 1
Let l(q) be the second derivative of -q**4/12 - 5*q**3/2 - 6*q**2 - 3*q. Let z be l(-14). Factor 1/2*b**z + b + 1/2.
(b + 1)**2/2
Let k(y) be the third derivative of -2*y**2 - 5/36*y**4 + 1/10*y**5 + 2/315*y**7 + 0*y + 0 + 1/9*y**3 - 7/180*y**6. Factor k(r).
2*(r - 1)**3*(2*r - 1)/3
Let m(h) = h**2 + 1. Let c = -5 + 5. Let j(b) = -5 + c*b**2 - 1 + b**3 - b - 4*b**2. Let g(r) = -j(r) - 5*m(r). Let g(q) = 0. Calculate q.
-1, 1
Suppose 4*c + 5*z = 125, 5*z - 9 = -c + 41. Let f be (64/c)/(2/5). Find u, given that 18/5*u**4 + f*u**3 + 28/5*u**2 + 2/5 + 12/5*u + 4/5*u**5 = 0.
-1, -1/2
Suppose -4*c = 0, -3*u + 4 = -u + 2*c. Determine s so that s**u - s**3 + 1/4*s**4 + 0 + 0*s = 0.
0, 2
Let p(m) be the first derivative of -8/5*m**3 - 9/5*m**2 - 3 - 4/5*m - 1/2*m**4. Factor p(c).
-2*(c + 1)**2*(5*c + 2)/5
Factor -4/7*i + 2/7*i**2 - 6/7.
2*(i - 3)*(i + 1)/7
Let k = -5/21 + 4/7. Factor k*y**3 + 1/3*y**2 - 1/3*y**4 - 1/3*y**5 + 0*y + 0.
-y**2*(y - 1)*(y + 1)**2/3
Let k = -173 + 520/3. Factor 0 - 1/6*m**2 + 0*m + k*m**3.
m**2*(2*m - 1)/6
Let x be (-214)/(-8) + (3 - 3). Let y = -741/28 + x. Let -4/7*u**3 - y*u + 6/7*u**5 - 8/7*u**4 + 0 + 8/7*u**2 = 0. Calculate u.
-1, 0, 1/3, 1
Factor -d**2 - 33 + 37 - 8*d + 5.
-(d - 1)*(d + 9)
Factor -6*w + 0*w**3 + 13 - 6*w**2 - 2*w**3 - 15.
-2*(w + 1)**3
Let p(y) be the first derivative of y**4/2 + 4*y**3/3 - y**2 - 4*y - 9. Determine x, given that p(x) = 0.
-2, -1, 1
Let b = -149/5 + 30. Let b*u**2 + 0 + 2/5*u = 0. Calculate u.
-2, 0
Let y(p) be the second derivative of 2*p**6/15 - p**5/5 + p. Factor y(o).
4*o**3*(o - 1)
Solve 5*p**2 - 4*p**5 + 9*p**3 + 15*p**4 + 3*p**5 - 4*p**5 - 24*p**3 = 0.
0, 1
Let u(p) = -p**2 - 8*p - 7. Let j be u(-6). Let s be (-4)/70*(-7 + 2). What is r in -2/7*r**3 + 0*r + 0 + s*r**2 + 2/7*r**j - 2/7*r**4 = 0?
-1, 0, 1
Let c(i) be the first derivative of 2*i**6/3 - 4*i**5/5 - 6*i**4 - 8*i**3/3 + 10*i**2 + 12*i + 3. Let c(l) = 0. What is l?
-1, 1, 3
Let y(w) be the third derivative of 9/20*w**6 - 3*w**2 - 1/2*w**3 + 9/8*w**4 + 0 + 0*w - 2/35*w**7 - 97/80*w**5. Let y(l) = 0. Calculate l.
1/4, 2
Let j(k) = 9*k**2 + 2*k + 3. Let m = 42 + -8. Let z(r) be the first derivative of 18*r**3 + 6*r**2 + 17*r - 20. Let v(c) = m*j(c) - 6*z(c). Factor v(u).
-2*u*(9*u + 2)
Let x = -19 + 23. Let s(l) be the second derivative of -1/24*l**x - 1/6*l**3 + 0*l**2 + 0 - 2*l. Factor s(j).
-j*(j + 2)/2
Let q(u) = -u - 4. Let i be q(-7). What is a in 2*a**3 + 0*a**3 + 0*a**i + 2*a**2 = 0?
-1, 0
Factor 0*v**2 + 0 - 10/7*v**4 + 2*v**5 - 4/7*v**3 + 0*v.
2*v**3*(v - 1)*(7*v + 2)/7
Find h such that -15*h**3 + 6*h**2 - 2*h - 2*h + 13*h**3 = 0.
0, 1, 2
Let y be (-3)/(-6) + 3 + 1/(-1). Determine l so that y*l + 1 - 5/2*l**3 - l**2 = 0.
-1, -2/5, 1
Let s(l) = -4*l**2 + l. Let n(f) = -f**2 + f. Let p(z) = z - 5. Let x be p(3). Let t(a) = x*s(a) + 6*n(a). Factor t(k).
2*k*(k + 2)
Let 1/3*y**2 + 5/3 + 2*y = 0. Calculate y.
-5, -1
Let m be (-3)/(180/(-51)) + (-6)/10. Factor m + 1/2*u - 1/2*u**3 + 0*u**2 - 1/4*u**4.
