- 8*f**2 - 10/3*f**3 - 3. Suppose y(c) = 0. What is c?
-2, -1
Let z(k) = 39*k**4 + 63*k**3 + 43*k**2 + 8*k + 3. Let p(d) = -d**4 + d**3 - d**2 - 1. Let t(f) = 3*p(f) + z(f). Factor t(x).
2*x*(2*x + 1)*(3*x + 2)**2
Let r = -1505 - -16567/11. What is c in -r*c**2 - 2/11*c**4 - 2/11 + 8/11*c + 8/11*c**3 = 0?
1
Suppose 7*x = 208 - 194. Determine b, given that 10/11*b**3 + 8/11*b - 32/11*b**x + 50/11*b**4 + 0 = 0.
-1, 0, 2/5
Let w be ((-10)/20)/((-3)/3*25). Let i(f) be the second derivative of 0*f**2 + f + w*f**5 + 0*f**3 + 0*f**4 - 2/105*f**7 + 0 - 1/75*f**6. Solve i(p) = 0.
-1, 0, 1/2
Let u(v) be the second derivative of -1/9*v**3 - 2*v - 1/18*v**4 + 0*v**2 + 0. Solve u(o) = 0.
-1, 0
Let z(n) = n - 2. Let c be z(-2). Let h(m) = m**3 + 5*m**2 + 5*m + 5. Let y(x) = -x**3 - 4*x**2 - 4*x - 4. Let t(b) = c*h(b) - 5*y(b). Factor t(s).
s**3
Suppose 0 - 30 = -5*b. What is t in 2/3*t**2 + b + 4*t = 0?
-3
Let q(n) be the first derivative of 0*n**3 + 0*n + 2 - 1/210*n**5 + n**2 + 0*n**4 - 1/420*n**6. Let s(l) be the second derivative of q(l). Factor s(j).
-2*j**2*(j + 1)/7
Let u(b) be the first derivative of -4*b**3/3 + 2*b**2 - 10. Determine y, given that u(y) = 0.
0, 1
Let y(a) be the third derivative of a**5/15 + 2*a**4/3 + 2*a**3 + 7*a**2. Suppose y(h) = 0. What is h?
-3, -1
Let c = 30 - 27. Factor 2/3*z - 2/3*z**c + 0 + 2/3*z**4 - 2/3*z**2.
2*z*(z - 1)**2*(z + 1)/3
Suppose 8*u**2 - 5*u**2 + 7*u**3 + 6*u**4 - u**3 - 3*u**4 = 0. What is u?
-1, 0
Let q(u) be the second derivative of -u**6/45 - u**5/10 - u**4/18 + u**3/3 + 2*u**2/3 - 6*u. Solve q(v) = 0 for v.
-2, -1, 1
Let j = -8 - -10. Factor -1 + n**2 - j*n**2 + 1 - 4*n.
-n*(n + 4)
Let c(q) = -4*q**4 - q**3 + q**2 + 4*q + 6. Let g(j) = 5*j**4 + 2*j**3 - 4*j - 7. Let h(p) = -6*c(p) - 5*g(p). Factor h(b).
-(b + 1)**4
Factor 2/3*x**2 + 0*x + 0.
2*x**2/3
Factor 0*t + 0*t**2 + 0 + 4/5*t**3.
4*t**3/5
Suppose t - 16 = -3*t. Let s(v) be the third derivative of 0*v**t + 1/21*v**3 - v**2 + 0 + 0*v - 1/210*v**5. Solve s(j) = 0 for j.
-1, 1
Let z(p) be the second derivative of p**6/6 + 4*p**5 + 65*p**4/2 + 280*p**3/3 + 245*p**2/2 - 6*p + 1. Factor z(b).
5*(b + 1)**2*(b + 7)**2
Let c(w) = 3*w**3 - 2*w**2 - w - 2. Let s(t) = 16*t**3 - 11*t**2 - 5*t - 11. Let i = -42 - -20. Let d(o) = i*c(o) + 4*s(o). Find n, given that d(n) = 0.
-1, 0, 1
Let w be (70/126)/((-2)/(-6)). Suppose -w*o**2 - 2 + 17/3*o = 0. What is o?
2/5, 3
Suppose -8*n = -2*q - 3*n + 22, 0 = -2*q + 4*n + 26. Let z be 45/q - 2/14. Find c such that 5/2*c - 3/2*c**z - 1 = 0.
2/3, 1
Let t(c) be the second derivative of -5*c**7/126 - 11*c**6/18 - 7*c**5/2 - 15*c**4/2 + 15*c**3/2 + 135*c**2/2 - 7*c. What is d in t(d) = 0?
-3, 1
Let k be (-9)/2 + (-5)/10. Let d = 8 + k. Let 2 - 6*n**3 + 5*n**d - 2*n**2 + 3*n**3 - 2*n = 0. What is n?
-1, 1
Factor 16 - 1 + 31*g + 19*g + 13*g**2 + 22*g**2.
5*(g + 1)*(7*g + 3)
Let r(x) be the third derivative of -x**6/480 + x**5/240 + x**4/48 - 23*x**2. Suppose r(c) = 0. What is c?
-1, 0, 2
Let j(c) = 48*c**3 - 76*c**2 + 23*c - 3. Let y(k) = 336*k**3 - 531*k**2 + 162*k - 21. Let n(s) = 27*j(s) - 4*y(s). Let n(b) = 0. Calculate b.
1/4, 1
Determine u, given that -68/3*u**3 + 50/3*u**4 + 0 - 4*u**5 - 4/3*u + 34/3*u**2 = 0.
0, 1/6, 1, 2
Let b(l) = -6*l**4 + 117*l**3 - 504*l**2 + 867*l - 387. Let n(o) = -o**4 - o**3 - o + 1. Let i(x) = b(x) + 3*n(x). Let i(u) = 0. What is u?
2/3, 4
Factor 1/2*i**4 + 3/2 - 2*i**2 - i + i**3.
(i - 1)**2*(i + 1)*(i + 3)/2
Let b(k) be the third derivative of 1/300*k**5 + 0 + 1/30*k**4 + 0*k + 2/15*k**3 - 4*k**2. Factor b(x).
(x + 2)**2/5
Let c(m) be the second derivative of -1/5*m**5 + 0 - m**2 + m**4 - 8/3*m**3 - m + 1/60*m**6. Let i(f) be the first derivative of c(f). Factor i(o).
2*(o - 2)**3
Let c(l) = l**2 + 14*l - 51. Let s be c(-17). Solve 4/3*w - 14/3*w**2 + s = 0.
0, 2/7
Let n(l) be the second derivative of l**6/210 - l**4/42 + l**2/14 - 18*l. Factor n(m).
(m - 1)**2*(m + 1)**2/7
Let m(q) be the second derivative of -1/140*q**5 + 0*q**2 + 0*q**4 + 0 + 4*q + 1/42*q**3. Let m(f) = 0. Calculate f.
-1, 0, 1
Suppose -5*j + 10*j + 5*k - 10 = 0, 5*k - 7 = -4*j. Suppose 1/2*o + 0 + 0*o**2 - 1/2*o**j = 0. What is o?
-1, 0, 1
Let n(z) = 2*z - 1. Let f be n(2). Solve g - 2*g**3 - 3*g + g**5 + f*g + 0*g**5 = 0.
-1, 0, 1
Let z(p) = p**2 - p + 1. Let b(y) = -3*y**2 + 6*y - 5. Let c(u) = 3*b(u) + 6*z(u). Determine n so that c(n) = 0.
1, 3
Let o be 28/6 + 3/9. Let q = 10 - o. Suppose 2/7*d + 0*d**4 + 0 + 0*d**2 + 2/7*d**q - 4/7*d**3 = 0. What is d?
-1, 0, 1
Let z(u) be the third derivative of 5*u**7/84 - u**6/12 + u**5/30 - 10*u**2. Suppose z(r) = 0. What is r?
0, 2/5
Let g(t) be the third derivative of -t**7/840 - t**6/160 + t**5/48 + t**4/32 - t**3/6 - 15*t**2. Factor g(c).
-(c - 1)**2*(c + 1)*(c + 4)/4
Let x(q) = q**2 + 13*q + 4. Let k be x(-13). Suppose -k*g = -2*g - u - 11, -4*u - 17 = g. Find w, given that -1/4*w**g - 3/4*w**2 - 1/4 - 3/4*w = 0.
-1
Suppose -4*l = 4*c - 4, 3*l = 5*c - 2*c + 15. Let f = 7 - l. What is m in 5*m**3 + 2*m**2 + f*m + 4*m**2 - 3*m**3 + 2*m + 2 = 0?
-1
Factor 2*g**3 + 2*g**4 + 0 + 2/3*g**2 + 0*g + 2/3*g**5.
2*g**2*(g + 1)**3/3
Let y be 0 + (-3)/(-9)*0. Let a(r) be the second derivative of 0*r**2 - 1/45*r**6 - 1/18*r**3 + 1/126*r**7 + 0 + 1/18*r**4 + r + y*r**5. Factor a(b).
b*(b - 1)**3*(b + 1)/3
Let g be (-11 - -12)*(-1 + 1) - -3. Find o, given that o**4 + 1/2*o**5 - 4*o**2 - o**g - 1 - 7/2*o = 0.
-1, 2
Let 4/7*z**2 - 2/7*z**5 + 0 + 2/7*z - 4/7*z**4 + 0*z**3 = 0. What is z?
-1, 0, 1
Let h = 40 + -40. Let k(d) be the first derivative of h*d - 2/35*d**5 - 2/7*d**3 + 1 - 3/14*d**4 - 1/7*d**2. Factor k(j).
-2*j*(j + 1)**3/7
Let p be (33/88)/((-1)/(-8)). Solve p - t - 1/3*t**3 - 5/3*t**2 = 0.
-3, 1
Let r(w) = -2*w**3 - 14*w**2 - 8*w + 4. Let p(a) = -2*a**3 - 15*a**2 - 8*a + 5. Let n(g) = 4*p(g) - 5*r(g). Suppose n(b) = 0. What is b?
-4, -1, 0
Suppose -5/3*t**2 + 3 + 1/3*t**3 + t = 0. What is t?
-1, 3
Suppose 0 = -0*w + 7*w - 21. Let s be 4/(-3) + -2 + 4. Find l, given that 4/3*l**2 - 2/3 + 4/3*l**5 + 4/3*l - 8/3*l**w - s*l**4 = 0.
-1, 1/2, 1
Suppose -3*p = -p - 4*l + 52, 3*l = -p - 31. Let v be (-1)/(-3) + p/(-6). Find b such that 0 - 2/11*b**3 + 0*b**4 + 0*b**2 + 2/11*b**v + 0*b = 0.
-1, 0, 1
Let j be (-4)/(-10) - 5/(-50). Let v(p) be the first derivative of -2/15*p**5 + 0*p - 1/3*p**2 - 3 - j*p**4 - 2/3*p**3. Factor v(z).
-2*z*(z + 1)**3/3
Let -9*o**4 - 15*o**4 - 30*o**3 - 7*o**4 + 28*o**4 - 39*o**2 + 180*o - 108 = 0. What is o?
-6, 1
Let q(z) be the first derivative of -z**6/180 + z**5/10 - 3*z**4/4 + z**3/3 + 3. Let i(g) be the third derivative of q(g). Factor i(n).
-2*(n - 3)**2
Suppose -h + 6 + 5 = 0. Let t be (h - 7)*6/8. Let -2*m**2 + 0*m**4 + 3*m**4 - 7*m**t + 5*m**2 + m**3 = 0. What is m?
0, 1
Let j = 1 - -2. Suppose o = j*u - 47, u + o = -u + 33. Factor 4*c + c**3 - 6*c**2 - 3*c + 0*c**3 + u*c**5 + 24*c**4.
c*(c + 1)**2*(4*c - 1)**2
Let w(s) = -5 + 4 - 2*s**2 + 2*s**3 - 7*s - 3*s**2 + s. Let l(z) = z**3 - 3*z**2 - 3*z - 1. Let m(b) = -5*l(b) + 3*w(b). Factor m(p).
(p - 1)**2*(p + 2)
Let o(b) = b**3 + 6*b**2 + 6*b + 4. Let w(i) = i**3 + 5*i**2 + 5*i + 3. Suppose 2 = -n - 0. Let a be 1*-2 - 0/n. Let u(f) = a*o(f) + 3*w(f). Factor u(c).
(c + 1)**3
Suppose -2*q + 6*q - 96 = 0. Suppose h - 3*h + q = 0. Factor -h*s**3 - 5 + 18*s**2 - 2*s - 10*s + 3*s**4 + 8.
3*(s - 1)**4
Let t = -12 - -7. Let v be (-2 + (-12)/(-15))*t. Factor v*x**4 - 8*x**2 + 4*x**3 - 6*x**3 + 4*x**2.
2*x**2*(x - 1)*(3*x + 2)
Suppose -2*k + 4 = -2*z - 0*z, -2*z = -4*k + 10. Suppose -l = -k*l. Factor l + 0*a**2 - 1/4*a**4 + 0*a**3 + 0*a.
-a**4/4
Let v = 37/130 + 3/26. Let -4/5*d**2 - v*d - 2/5*d**3 + 0 = 0. Calculate d.
-1, 0
Suppose -c = -2*i + 4 + 2, -2*c = -i + 6. Solve 1 - 2 - 3*h**i + 2 - 6*h - 4 = 0.
-1
Let i(g) = -g**2 - g + 1. Let u(y) = -6*y**2 - 6*y + 5. Let r(a) = 20*i(a) - 4*u(a). Let r(x) = 0. Calculate x.
-1, 0
Let i = -3 + 11. Let o(v) = -v + 11. Let t be o(i). Suppose 0 - b + b**t + 3 + b**2 - 4 = 0. Calculate b.
-1, 1
Let p(k) be the first derivative of 4*k**4/3 - 52*k**3/9 + 2*k**2 + 1. Factor p(g).
4*g*(g - 3)*(4*g - 1)/3
Factor -1/2*n**4 + 0*n - n**2 + 3/2*n**3 + 0.
-n**2*(n - 2)*(n - 1)/2
Let a be ((-9)/75)/((-15)/225). Factor 3/5*i**3 + 9/5*i - a*i**2 - 3/5.
3*(i - 1)**3/5
Let g(i) be the