 200352*q - 6*q**2.
3*q*(17*q - 5)
Determine m, given that -336*m + 11 + 659*m - 331*m + m**2 + 4 = 0.
3, 5
Let l = 42 + -20. Let f = l - 22. Suppose 21*c + 3*c + f*c + 16 + 13*c**2 - c**2 + 2*c**3 = 0. Calculate c.
-2
Let c(h) = -h**3 - 5*h**2 - 7*h + 1. Let k be (-1)/(-3) - (-370)/(-111). Let f be c(k). Solve 10/19*y**f - 2/19*y**5 - 18/19*y**3 + 0 + 14/19*y**2 - 4/19*y = 0.
0, 1, 2
Let w be -22 + 7224/147 - 27. Suppose 16/7*t + 4/7 + 25/7*t**5 - 41/7*t**3 - 5/7*t**4 + w*t**2 = 0. What is t?
-1, -2/5, 1
Factor -1/5*z + 1/5*z**2 - 12/5.
(z - 4)*(z + 3)/5
Suppose -2 - 6 = -4*i. Suppose -i*v - 180 = 3*v. Let f(p) = 2*p**3 + 18*p**2 + 54*p + 36. Let r(w) = 1. Let d(o) = v*r(o) - 2*f(o). Factor d(h).
-4*(h + 3)**3
Let g(w) be the first derivative of w**4/14 + 20*w**3/21 + 23*w**2/7 + 4*w + 452. Let g(s) = 0. Calculate s.
-7, -2, -1
Let k = 22 + -15. Let p be (-6)/(-4) + k/14. Suppose 1/5*t**4 - 1/5*t**3 + 1/5*t**5 + 0*t + 0 - 1/5*t**p = 0. Calculate t.
-1, 0, 1
Suppose -3*z - 4*z = -14. Suppose 4*s = -3*q + 20, -z*q + 3*s - 18 = -5*q. Factor -60*a**3 - 129 - 275 - 1 + q*a**4 - 270*a**2 - 9*a**4 - 540*a.
-5*(a + 3)**4
Let p be (-2156)/(-1386) - (-4)/9. Factor 1/5*c**p - 2/5*c - 3/5.
(c - 3)*(c + 1)/5
Let b(p) be the first derivative of 14/33*p**3 - 8/11*p + 5/22*p**4 + 17 - 8/11*p**2. Factor b(x).
2*(x - 1)*(x + 2)*(5*x + 2)/11
Let t be (4*1)/((-16)/(-60)). Suppose 0 = 20*h + t - 55. Determine k so that -1/3*k**4 + 2/3*k + k**5 - 5/3*k**3 + 1/3*k**h + 0 = 0.
-1, -2/3, 0, 1
Let s(g) = g**2 - 19*g + 78. Let v be s(14). Factor 2*o**3 - v*o + 35*o**2 - 18*o**2 - 19*o**2 + 8.
2*(o - 2)*(o - 1)*(o + 2)
Let y(u) be the third derivative of -u**8/2688 - u**7/280 - u**6/120 - u**5/12 - 9*u**2. Let p(n) be the third derivative of y(n). Factor p(h).
-3*(h + 2)*(5*h + 2)/2
Suppose 3 = 3*x - 2*x. Determine h so that -2*h**5 - 13*h**4 + 17*h**4 - x*h**3 + h**3 = 0.
0, 1
Let q(f) be the third derivative of -f**9/30240 - f**8/3360 + f**7/2520 + f**6/120 - 7*f**5/60 - 31*f**2. Let y(t) be the third derivative of q(t). Factor y(b).
-2*(b - 1)*(b + 1)*(b + 3)
Let u(x) = x**2 + 7*x + 14. Let d be u(-4). Factor b**d - 6*b + 3 - 17*b + 27*b.
(b + 1)*(b + 3)
Let v(s) = -s**3 + s**2 + 4*s. Let c(z) = 2*z**3 + 10*z**2 - 44*z + 28. Let w(a) = c(a) + v(a). Factor w(i).
(i - 2)*(i - 1)*(i + 14)
Factor -72/11 + 120/11*v + 20/11*v**3 - 74/11*v**2 - 2/11*v**4.
-2*(v - 3)**2*(v - 2)**2/11
Let s(r) = 4*r**4 - 8*r**3 + 42*r**2 + 90*r - 108. Let g(v) = -3*v**4 + 5*v**3 - 28*v**2 - 60*v + 72. Let t(d) = 10*g(d) + 7*s(d). Factor t(b).
-2*(b - 2)*(b - 1)*(b + 3)**2
Suppose 3*n = -8*y + 4*y + 27, -3*y = -n - 30. Let d(h) be the first derivative of 1/3*h**3 + y*h - 3*h**2 + 3. Let d(q) = 0. Calculate q.
3
Let c(x) be the third derivative of x**5/6 + 55*x**4/24 - 25*x**3 - 41*x**2. Solve c(q) = 0.
-15/2, 2
Let h = -196 + -7. Let w = 203 + h. Factor 1/7 - 1/7*u**2 + w*u.
-(u - 1)*(u + 1)/7
Let l be (318/3339)/(1/21). Factor 0 + 0*o + 1/2*o**l - 1/2*o**3.
-o**2*(o - 1)/2
Suppose 0 = 4*y - 5*g + 27, 2*g = 5*y + 77 - 73. Let -1/6 + 1/6*a**y - 1/6*a + 1/6*a**3 = 0. What is a?
-1, 1
Let m(n) = -2*n**3 - 64*n**2 - 2*n - 69. Let c be m(-32). Let h be (-6 - 104/(-18))*c. Determine z, given that 2/3*z + 0 - 14/9*z**2 - 2/9*z**4 + h*z**3 = 0.
0, 1, 3
Factor -2/7*a**3 - 10*a + 34/7 + 38/7*a**2.
-2*(a - 17)*(a - 1)**2/7
Let s be (2162/3)/(56/(-24)). Let w = -308 - s. Factor 2/7*g + 0*g**3 + 0 + w*g**2 - 8/7*g**4.
-2*g*(g - 1)*(2*g + 1)**2/7
Let l(m) be the third derivative of m**8/294 + 73*m**7/735 + 41*m**6/210 - 4*m**5/15 - 43*m**4/42 - 17*m**3/21 + m**2 + 311*m. Let l(u) = 0. What is u?
-17, -1, -1/4, 1
Let d(t) be the third derivative of -3*t**7/10 - 23*t**6/4 - 491*t**5/20 + 23*t**4/4 + 24*t**3 - 16*t**2 - 2. Determine h, given that d(h) = 0.
-8, -3, -2/7, 1/3
Let z(s) be the third derivative of s**6/480 - s**5/40 - s**4/96 + s**3/4 - 32*s**2. Factor z(i).
(i - 6)*(i - 1)*(i + 1)/4
Let h be (24/(-28))/((-16)/56). Suppose 0 = 2*u - 6*u + 3*x + 6, h*u - 3*x = 6. Factor 2/5*w**3 - 2/5*w + 1/5*w**4 - 1/5 + u*w**2.
(w - 1)*(w + 1)**3/5
Let k be (-3 + 18/6)/(-21 - -13). Find r such that 4/9*r**2 - 2/9*r**5 + k*r + 0 + 2/3*r**3 + 0*r**4 = 0.
-1, 0, 2
Let s(n) be the second derivative of n**6/8 + 27*n**5/20 - 5*n**4/2 - 6*n**3 - 19*n**2/2 - 16*n. Let r(t) be the first derivative of s(t). Factor r(c).
3*(c - 1)*(c + 6)*(5*c + 2)
Let c = -278 - -1392/5. Let n(l) be the second derivative of 1/30*l**4 + 0 + 1/75*l**6 - 2*l - 3/50*l**5 + 1/5*l**3 - c*l**2. Factor n(o).
2*(o - 2)*(o - 1)**2*(o + 1)/5
Let -23 + 49 - 26*f**3 + 4*f**4 + 73*f**2 - 2 - 74*f - f**4 = 0. What is f?
2/3, 1, 3, 4
Let a = 8 + -7. Let r(y) = -4*y**2 + 6*y - 2. Let w(i) = i**2 - i. Let n(f) = a*r(f) + 3*w(f). Find b, given that n(b) = 0.
1, 2
Let c be (5 - 0) + ((-26)/(-13) - 5). Let n(s) be the first derivative of -1/20*s**4 - 1/5*s + 1/15*s**3 + 1 + 1/10*s**c. Factor n(q).
-(q - 1)**2*(q + 1)/5
Find v, given that 70*v**3 + 546 + 9*v**4 + 2380*v + 0*v**4 - 5*v**4 - 1293*v**2 - 1702 - 5*v**4 = 0.
1, 34
Let z be 18/90 - (69/(-5) - 0). Suppose 5*f**2 + 17*f**2 - z*f**2 - 2*f**3 = 0. Calculate f.
0, 4
Find f such that 35*f**2 - 49*f**4 - 4*f + 80*f**3 + 130*f**4 - 22*f**4 - 4 + 2*f**5 + 12*f**5 = 0.
-2, -1, -1/2, 2/7
Let r(b) be the second derivative of b**5/420 + b**4/14 + 6*b**3/7 - 55*b**2/2 + 2*b + 2. Let z(t) be the first derivative of r(t). Factor z(j).
(j + 6)**2/7
Let x(q) = 3*q + 9. Let b be x(1). Let m be 2*(b/(-8) + 1)*0. Factor 2/5*r**2 + m + 4/5*r - 2/5*r**3.
-2*r*(r - 2)*(r + 1)/5
Factor 24/11*j + 10/11*j**3 + 36/11*j**2 - 16/11.
2*(j + 2)**2*(5*j - 2)/11
Let p = -39 + 57. Factor -4*x**2 + 2*x**3 - 18 + p.
2*x**2*(x - 2)
Let o(l) be the first derivative of 0*l + 12 + 1/16*l**4 + 1/4*l**2 + 1/4*l**3. Determine t, given that o(t) = 0.
-2, -1, 0
Let w = -15/64 - -323/832. What is h in 0*h + 2/13*h**2 - w*h**3 + 0 = 0?
0, 1
Let f(g) = -48*g**2 - 11*g + 8. Let p(s) = -35*s**2 - 12*s + 8. Let j(r) = -2*f(r) + 3*p(r). Factor j(h).
-(h + 2)*(9*h - 4)
Let f(c) = 12*c**2 + 11*c - 18. Let p be f(1). Factor 2*x**4 + 0*x**2 + 0*x + 4/5*x**3 + 0 + 6/5*x**p.
2*x**3*(x + 1)*(3*x + 2)/5
Let z(s) = -6*s**2 - 2. Let y(p) = 3 + 1 - 1 + p - 11*p**2 - 7. Let m(x) = -4*y(x) + 7*z(x). Factor m(u).
2*(u - 1)**2
Let j be 234/(-507) - 12/(-26). Let t(n) be the second derivative of 25/3*n**2 + 8*n + j - 10/9*n**3 + 1/18*n**4. What is i in t(i) = 0?
5
Suppose 2 + 2*v + 1/2*v**2 = 0. Calculate v.
-2
Let k be (-10 + 12)*(-2)/(-28). Factor -k + 0*v + 1/7*v**2.
(v - 1)*(v + 1)/7
Suppose 1872*f = 1884*f - 36. Suppose 3/4*c**2 - 15/4*c**4 + f - 6*c + 3/4*c**5 + 21/4*c**3 = 0. What is c?
-1, 1, 2
Suppose 0 = m + i - 2, -3*m + 10 - 4 = -4*i. Let b be (3 - 11/5)/((-2)/(-5)). Factor -b*g + g**4 + m*g + 7*g**4 + 4*g**5.
4*g**4*(g + 2)
Let x(m) = m**2 - 2*m - 15. Let h be x(5). Suppose -2*j = 2*q, h*j - 6 = 3*j. Suppose -2/11*i**3 - 10/11*i - 4/11 - 8/11*i**q = 0. What is i?
-2, -1
Let r = 1/6384 + 3/1064. Let t(u) be the third derivative of r*u**8 - 4*u**2 + 0*u - 1/30*u**5 + 1/105*u**7 + 0*u**3 - 1/120*u**6 + 0 + 0*u**4. Factor t(w).
w**2*(w - 1)*(w + 1)*(w + 2)
Let w(q) be the second derivative of -q**10/151200 + q**8/11200 - q**7/6300 - 5*q**4/4 - 2*q. Let f(x) be the third derivative of w(x). Factor f(l).
-l**2*(l - 1)**2*(l + 2)/5
Let j(c) = 5*c**2 + 27*c - 14. Let i be j(-6). Let o(z) be the first derivative of -1/16*z**i - 6 + 1/12*z**3 + 1/8*z**2 - 1/4*z. Factor o(r).
-(r - 1)**2*(r + 1)/4
Let y be 17 + 4*117/(-36). Let 1/2*c - 1/2*c**3 - 1/2*c**2 + 0 + 1/2*c**y = 0. What is c?
-1, 0, 1
Let s(t) be the first derivative of 9*t**5/35 + 4*t**4/7 - 4*t**3/21 + 3. Factor s(w).
w**2*(w + 2)*(9*w - 2)/7
Let n(p) be the first derivative of -5*p**4/12 - 5*p**3/6 + 9*p - 4. Let x(c) be the first derivative of n(c). Factor x(s).
-5*s*(s + 1)
Let j(m) = -m + 2. Let d be j(-1). Let 3*p**5 + p**4 - 5*p**5 - 2*p**5 + 2*p**3 + d*p**5 = 0. Calculate p.
-1, 0, 2
Let a = -1118 - -1122. Let u(q) be the third derivative of 1/30*q**5 + 1/30*q**6 - a*q**2 + 0*q**4 + 1/105*q**7 + 0*q**3 + 0*q + 0. What is l in u(l) = 0?
-1, 0
Let p(f) be the first derivative of 4*f**5/25 + 29*f**4/20 + 67*f**3/15 + 51*f**2/10 + 9*f/5 + 37. Determine l, given that p(l) = 0.
-3, -1, -1/4
Suppose 