- x*g - 58*g**2 = 0. What is g?
-1, 0, 1, 2
Let d(w) be the first derivative of w**6/27 + 208*w**5/45 + 3673*w**4/18 + 92684*w**3/27 + 82076*w**2/9 + 78608*w/9 + 147. Find r, given that d(r) = 0.
-34, -1
Let z(f) = 6*f**4 - 22*f**3 - 28*f**2 + 12. Let w(d) = -12*d**4 + 42*d**3 + 55*d**2 + d - 22. Let t(s) = 6*w(s) + 11*z(s). Determine p, given that t(p) = 0.
-1, -1/3, 0, 3
Find c such that -12 + 3*c**3 - 23*c**2 - 4*c**2 + 3*c**4 - 109*c + 142*c = 0.
-4, 1
Factor 546*i + 58 + 3*i**2 + 98 - 387*i.
3*(i + 1)*(i + 52)
Let q(h) be the first derivative of 45*h**4/2 - 2*h**3/3 - 2*h**2 + 166. Determine a so that q(a) = 0.
-1/5, 0, 2/9
Suppose p - 45 = -38. Solve p*b + 2*b**2 + b - b**3 - 9*b = 0.
0, 1
Let p = -24 + 27. Let -11*n - 15*n**2 - 10*n**p + 7*n**3 + 27 + 2*n = 0. What is n?
-3, 1
Let z = 334 + -331. Let o(j) be the first derivative of j - 1/3*j**z + 0*j**2 + 1. Find f such that o(f) = 0.
-1, 1
Suppose -4*j + 5 = 5*u, 3*u - 1 - 2 = -3*j. Let g(z) be the first derivative of 3/2*z**2 - z**3 + j*z - 7. Factor g(r).
-3*r*(r - 1)
Let f(r) be the third derivative of 1/105*r**6 - 4/105*r**5 + 0 + 0*r + 1/42*r**4 - 39*r**2 + 8/735*r**7 - 1/196*r**8 + 0*r**3. Determine w so that f(w) = 0.
-1, 0, 1/3, 1
Let a be -10 + 5*160/50. Let k(i) be the first derivative of a + 6/35*i**5 + 1/2*i**4 + 10/21*i**3 + 1/7*i**2 + 0*i. Find x, given that k(x) = 0.
-1, -1/3, 0
Let y(r) be the first derivative of -r**6/21 + r**5/5 - 9*r**4/28 + 5*r**3/21 - r**2/14 + 108. Factor y(z).
-z*(z - 1)**3*(2*z - 1)/7
Suppose q = z - q - 9, -2*q = z + 3. Factor 3*a**4 - 5*a**4 - 3*a**z - a**3 - 2*a**4.
-4*a**3*(a + 1)
Let p(m) = -m**2 - 8*m - 55. Let i be p(-7). Let u = i - -51. Determine r so that 3/4 - 3/4*r**2 + 3/4*r - 3/4*r**u = 0.
-1, 1
Let c(b) be the third derivative of b**6/120 - b**5/60 - b**4/6 + 5*b**3/3 - 4*b**2. Let f(m) = m**3 - m**2 - 4*m + 9. Let p(q) = -5*c(q) + 6*f(q). Factor p(n).
(n - 2)*(n - 1)*(n + 2)
Suppose 0*y + 5 = -y. Let w(a) = 16 + 15 + 17 - 4*a**2 - 7*a - 41. Let i(x) = x**2 + x - 1. Let c(q) = y*i(q) + w(q). Factor c(b).
-3*(b + 2)*(3*b - 2)
Let a be (12/1408*-4)/((-10)/4). Let k = a + 2619/1540. Find z such that k*z + 18/7 + 2/7*z**2 = 0.
-3
Determine y, given that -1/2*y**5 + 20*y**2 - 4*y**4 - 25/2*y - 3*y**3 + 0 = 0.
-5, 0, 1
Factor 8 - 26/3*m + 2/3*m**2.
2*(m - 12)*(m - 1)/3
Let a(x) be the third derivative of 3/160*x**6 + 0*x**4 + 0*x**5 + 0 + x**2 + 0*x**3 + 0*x - 1/280*x**7. Factor a(n).
-3*n**3*(n - 3)/4
Let b(d) = 25*d**2 + 2*d + 1. Let v be b(-1). Find k, given that 0*k**2 - 6*k + v*k**3 - 21*k**4 + 6 - 3 - 6*k**2 + 6*k**5 = 0.
-1/2, 1
Factor -14/9*f + 2/9*f**2 + 8/3.
2*(f - 4)*(f - 3)/9
Let n = 95/6 - 43/3. Factor -n*d**4 - 1/2*d**2 + 3/2*d**3 + 0 + 1/2*d**5 + 0*d.
d**2*(d - 1)**3/2
Let j(d) be the first derivative of -d**7/945 - d**6/135 - d**5/90 + 35*d**2/2 - 2. Let z(v) be the second derivative of j(v). Factor z(b).
-2*b**2*(b + 1)*(b + 3)/9
Let b(a) be the second derivative of a**4/36 + a**3/9 - a**2/2 + 59*a. Let b(g) = 0. What is g?
-3, 1
Suppose 4*w + 2 = 34. Suppose -w*u = -12*u + 12. Factor -z + 0*z**2 + u*z**3 + 3*z**2 - 4 - 4*z**2 - 7*z.
(z - 2)*(z + 1)*(3*z + 2)
Let s(w) be the first derivative of -3*w**4/4 + 17*w**3 - 120*w**2 + 192*w + 35. Let s(u) = 0. What is u?
1, 8
Let a be (5406/(-165))/((-5)/(-125)). Let v = 820 + a. Determine k so that -10/11*k**4 + 20/11*k**3 + 2/11*k**5 - 2/11 + v*k - 20/11*k**2 = 0.
1
Let f(z) be the first derivative of z**3/12 - z**2/2 + 3*z/4 + 17. Factor f(l).
(l - 3)*(l - 1)/4
Suppose 4*p + 2 = -2*m, -5*m - 4*p + 3*p + 13 = 0. Suppose 15*y - 14*y - m = 0. Factor 0*g**y - 1/2*g**4 + 0*g - 1/2 + g**2.
-(g - 1)**2*(g + 1)**2/2
Let u = 97 - 93. Suppose k + 2*z - u + 2 = 0, 0 = -4*k + 4*z + 8. Factor 3/7*b**k + 3/7*b - 6/7.
3*(b - 1)*(b + 2)/7
Let h be (-2)/3 + (-80)/6. Let s be (1 - 3/12)/((-21)/h). Find c, given that 0 - c**3 + 1/2*c**4 + 0*c + s*c**2 = 0.
0, 1
Let w(x) be the third derivative of x**8/49 + 46*x**7/735 + x**6/210 - x**5/5 - 13*x**4/42 - 4*x**3/21 - 110*x**2 - 2*x. Let w(g) = 0. What is g?
-1, -2/3, -1/4, 1
Determine s so that 2*s**3 + 240*s - 1741*s**2 + 1797*s**2 + 288 + 2*s**3 = 0.
-6, -2
Let i = -3835/4 - -26877/28. Factor -48/7*y - i - 22/7*y**2.
-2*(y + 2)*(11*y + 2)/7
Suppose 4 = -4*w - 4. Let l(x) = -16*x**3 - 70*x**2 + 2*x + 56. Let q(b) = 5*b**3 + 23*b**2 - b - 19. Let u(f) = w*l(f) - 7*q(f). Factor u(n).
-3*(n - 1)*(n + 1)*(n + 7)
Let b(q) be the second derivative of -q**6/70 - 3*q**5/140 + q**4/14 + q - 2. Determine a so that b(a) = 0.
-2, 0, 1
Let d be (-7 - -7)/(-4 + 1 + 1). Suppose d = 13*q - 5*q. Factor q*n + 0 + 2/5*n**3 + 0*n**2.
2*n**3/5
Suppose 4*u = -s + 25, u - 16 - 6 = 5*s. Suppose -8 = 3*n - u*n. Factor -11*j - n*j**3 - 5*j + 10*j**2 + 16 - 8.
-2*(j - 2)**2*(j - 1)
Let u = -26 + 29. Find o, given that -18*o**3 - 4*o**4 - 2*o**u - 25*o**2 - 3*o**2 + 0*o - 12*o = 0.
-3, -1, 0
Let s = -1/14057 - -14059/28114. Factor s*j**2 + 0 - 1/2*j**3 + j.
-j*(j - 2)*(j + 1)/2
Factor 8*r - 15*r**2 - 12 - 17*r**2 - 24*r + 140 + 0*r**2 + 4*r**3.
4*(r - 8)*(r - 2)*(r + 2)
Let f = 474 - 468. Let v(u) be the second derivative of 0*u**3 + 1/60*u**f - 3*u + 0*u**2 + 1/24*u**4 + 0 + 1/20*u**5. Find p such that v(p) = 0.
-1, 0
Factor -504*k + 171/5*k**2 + 2352/5 - 3/5*k**3.
-3*(k - 28)**2*(k - 1)/5
Let l(t) = -15*t**3 + 37*t**2 - 25*t - 88. Let z(y) = 4*y**3 - 9*y**2 + 6*y + 22. Let c(u) = -6*l(u) - 22*z(u). Suppose c(g) = 0. Calculate g.
-1, 2, 11
Let d(f) be the first derivative of -f**4/54 - 8*f**3/27 - 7*f**2/9 - 36*f - 38. Let i(h) be the first derivative of d(h). Determine k so that i(k) = 0.
-7, -1
Let j = 926 - 922. Let f(u) be the second derivative of 0 - 4/9*u**3 - 1/9*u**j - 2/3*u**2 + 3*u. Factor f(z).
-4*(z + 1)**2/3
Let s(a) be the second derivative of -3*a**5/220 + 35*a**4/132 - 7*a**3/22 - a**2/2 - 146*a - 3. Factor s(o).
-(o - 11)*(o - 1)*(3*o + 1)/11
Suppose 0 = -q - 4*w + 22, 3 = -q - 2*w + 15. What is a in 1/3*a**q + 5/3*a - 2 = 0?
-6, 1
Let r(x) be the first derivative of 6*x + 2/13*x**5 - 1 - 1/39*x**3 + 0*x**2 + 1/78*x**4. Let s(o) be the first derivative of r(o). Find a, given that s(a) = 0.
-1/4, 0, 1/5
Let l(d) = d**2 + 2*d - 3. Let a be l(-4). Suppose 4*j - a*j = -3. Factor j - 9*i + 2*i**2 + 3 + 17*i.
2*(i + 1)*(i + 3)
Let v be (0 + 0/2)*(-482 - -483). Let 8/9*p**3 + 0*p + v + 2/9*p**2 = 0. What is p?
-1/4, 0
Let p(h) be the first derivative of -50*h**2 - 24*h + 26 - 88/3*h**3 - 3*h**4. Factor p(i).
-4*(i + 1)*(i + 6)*(3*i + 1)
Factor -4/15*s**3 + 0*s**2 + 2/15*s**5 + 0*s + 2/15*s**4 + 0.
2*s**3*(s - 1)*(s + 2)/15
Let k(v) be the second derivative of -v**10/37800 - v**9/18900 + v**8/4200 + 4*v**4/3 + 38*v. Let n(h) be the third derivative of k(h). Factor n(g).
-4*g**3*(g - 1)*(g + 2)/5
Let p = 5 - 9. Let u be 5/2 - 6/p. Factor o**3 - 2*o - u + 4 + o.
o*(o - 1)*(o + 1)
Let q(s) be the third derivative of -s**5/12 + 40*s**4/3 + 5*s**2 + 5*s. Factor q(j).
-5*j*(j - 64)
Suppose -3 = -3*z + 3. Suppose 0 = z*f - 4*f + 8. What is d in 28*d**4 - 18*d**4 - 13*d**f + 6*d**3 = 0?
0, 2
Let r(u) = -u**2 + 12*u + 15. Let z be r(13). Suppose -2*p + p**z + 3*p**2 - 4*p - 2*p = 0. Calculate p.
0, 2
Let c(j) = -2*j**3 + 36*j**2 + 78*j + 44. Let q be c(20). Determine f so that -4/3*f + 0 - 5/3*f**3 - 8/3*f**2 - 1/3*f**q = 0.
-2, -1, 0
Let c be 0*(-4)/20 + (4 - 0). Let x(o) be the first derivative of 4/5*o - 5 - 56/5*o**c + 176/15*o**3 - 23/5*o**2. Factor x(h).
-2*(4*h - 1)**2*(7*h - 2)/5
Let p(f) = -4*f**3 + 76*f**2 + 148*f + 84. Let t(j) = -2*j**2 - 2. Let u(q) = p(q) + 4*t(q). Suppose u(s) = 0. Calculate s.
-1, 19
Let q(f) be the second derivative of f**5/4 + 115*f**4/12 + 215*f**3/6 + 105*f**2/2 + 7*f + 3. Determine o, given that q(o) = 0.
-21, -1
Let t be (-1)/(6/(-21)) - (-2)/(-4). Factor l**3 + 4 + 9*l + 6*l**2 + 0*l**t - 6*l**2 + 6*l**2.
(l + 1)**2*(l + 4)
Let u(q) = 1 + 7*q**2 - 5*q**2 - q + 3*q - 3*q**3. Let y be u(-1). Factor 0*b**2 - 3*b + b**2 + y*b.
b*(b + 1)
Let g be ((-658)/705)/(70/(-36)). Factor -g*c - 2/25*c**2 - 18/25.
-2*(c + 3)**2/25
Suppose -48/7*t + 200/7*t**2 + 2*t**5 - 18/7*t**4 - 108/7*t**3 + 0 = 0. What is t?
-3, 0, 2/7, 2
Let q(u) be the first derivative of -11*u**3/15 + 14*u**2/5 - 12*u/5 + 246. Factor q(m).
-(m - 2)*(11*m - 6)/5
Let l(d)