. Factor -21/4 - 9/2*x + y*x**2.
3*(x - 7)*(x + 1)/4
Let o(i) be the first derivative of -i**5/4 + 5*i**3/2 - 5*i**2 + 29*i - 28. Let d(q) be the first derivative of o(q). Find m such that d(m) = 0.
-2, 1
Let l = 9 + -3. Suppose -l*r + 7*r = 4. Factor -48*p**3 - 4*p**5 + 25*p**3 - r*p**2 + 27*p**3 + 4*p**4.
-4*p**2*(p - 1)**2*(p + 1)
Let y(a) = -4*a**2 - 64*a - 108. Let q(r) = 4*r**2 + 65*r + 109. Let s(h) = 4*q(h) + 5*y(h). Determine l, given that s(l) = 0.
-13, -2
Factor 8*o**2 + 0 + 2/9*o.
2*o*(36*o + 1)/9
Let b(x) = 335*x**3 + 680*x**2 + 330*x. Let p(r) = r**4 + r**3 + r**2 - 2*r. Let h(o) = -b(o) + 5*p(o). Factor h(i).
5*i*(i - 68)*(i + 1)**2
Let w(n) be the third derivative of 169/210*n**5 + 4/21*n**3 + 0 - n**2 + 0*n + 13/21*n**4. Factor w(h).
2*(13*h + 2)**2/7
Let o be 261/36*(22 - 2) - 3. Let f be (-4)/(-26) - (-3 + o/78). Find l such that -f*l - 2 + 2/3*l**2 = 0.
-1, 3
Let g(b) = -2*b**2 + 21*b - 38. Let t be g(8). Suppose -4*o = -t*k - 12, 4*k + 2 = 3*o - k. Find l such that -18/7*l**2 + 0 - 48/7*l**3 + 4/7*l + 32*l**o = 0.
-2/7, 0, 1/4
Let s(k) be the second derivative of -k**4/6 - 8*k**3/3 - k - 33. Solve s(x) = 0.
-8, 0
Let k(a) be the second derivative of -a**6/40 + a**4/4 + 38*a - 1. Factor k(m).
-3*m**2*(m - 2)*(m + 2)/4
Let f(z) be the second derivative of z**7/315 - z**6/225 - z**5/150 + z**4/90 + 66*z - 1. Factor f(o).
2*o**2*(o - 1)**2*(o + 1)/15
Let m(w) be the third derivative of w**8/84 - 6*w**7/35 + 29*w**6/30 - 43*w**5/15 + 5*w**4 - 16*w**3/3 - 67*w**2. Factor m(b).
4*(b - 4)*(b - 2)*(b - 1)**3
Let b be 86/(-645)*12/(-1). Find x, given that 0*x**2 + 0*x + 0 - b*x**4 + 12/5*x**5 - 4/5*x**3 = 0.
-1/3, 0, 1
Let g(h) be the second derivative of 3*h**5/100 + 33*h**4/20 + 363*h**3/10 + 3993*h**2/10 + 55*h. Solve g(l) = 0.
-11
Let d be (-57)/6*(-36)/855. Factor -2/15*u**3 + 0*u + d*u**2 - 8/15.
-2*(u - 2)**2*(u + 1)/15
Let o be (9/(-18) + 1/2)/3. Let 5*v**5 + v + 2*v**3 - 12*v**3 + 4*v + o*v**3 = 0. What is v?
-1, 0, 1
Let n(u) be the second derivative of u**7/84 + 3*u**6/20 + u**5/2 + u**4/2 + 25*u + 1. Factor n(y).
y**2*(y + 1)*(y + 2)*(y + 6)/2
Let n(u) be the third derivative of -u**7/35 + 19*u**6/30 + 166*u**5/45 - 43*u**4/6 + 5*u**3 - 72*u**2 - 3*u. Let n(c) = 0. Calculate c.
-3, 1/3, 15
Let l(j) = 3*j**2 + 18*j - 3. Let i(a) = a. Let b = 1 - 19. Let w(u) = b*i(u) + l(u). Let w(s) = 0. What is s?
-1, 1
Suppose 4*h = -3*j - 181, 0 = 2*h - j + 1 + 82. Let n be h/(-9) - (-16)/216*3. Factor 3*t**2 + 3/2*t**n + 3/2*t - 3/2*t**4 - 3/2 - 3*t**3.
3*(t - 1)**3*(t + 1)**2/2
Let x be 4 + (0 - 0) + 5871/38. Let z = -158 + x. Factor -d**2 + 1/2 + z*d**4 + 0*d + 0*d**3.
(d - 1)**2*(d + 1)**2/2
Let r be ((-6)/10)/(77/273) + 2. Let s = 3/11 - r. Factor 0 + 0*c - s*c**2.
-2*c**2/5
Factor -d**2 + 129*d + 45 - 2*d**2 + 126*d - 261*d.
-3*(d - 3)*(d + 5)
Let g = 803 - 799. Factor 0*z + 2/13*z**g - 6/13*z**3 + 0 + 4/13*z**2.
2*z**2*(z - 2)*(z - 1)/13
Let p(l) = 10*l**2 + 2*l + 13. Let o(b) = -3*b**2 - b - 4. Let x be (-12)/(-3) + -4 + -6. Let r(c) = x*p(c) - 21*o(c). Let r(k) = 0. What is k?
-2, -1
Let j(z) be the second derivative of z**7/112 - 9*z**5/160 - z**4/16 + 37*z. Find x, given that j(x) = 0.
-1, 0, 2
Let g(u) = 2*u**3 - 4*u**2 - 2*u + 15. Let n be g(5). Let p = 157 - n. Solve -3/8*i**3 + 9/8*i**p + 3/8*i - 3/8*i**4 - 3/4 = 0 for i.
-2, -1, 1
Let i(q) = -q**4 - q**3 - q**2 + q - 2. Let h(z) = 10*z**4 - 41*z**3 + 50*z**2 - 13*z + 6. Let f(n) = -2*h(n) - 6*i(n). Solve f(j) = 0.
0, 2/7, 1, 5
Suppose 3*o = -0*o - 4*y + 28, -4*y = 4*o - 32. Factor 8*m**3 + 4*m**4 + 0*m**3 - 20*m**5 + 7*m**4 + m**o.
-4*m**3*(m - 1)*(5*m + 2)
Suppose 223*i = 230*i - 14. Find c, given that 0 + 0*c - 9/5*c**3 + 3/5*c**i - 3/5*c**5 + 9/5*c**4 = 0.
0, 1
Let q = -1540/9 - -1552/9. Factor 0 + 1/3*g**3 + 1/3*g**4 - 4/3*g - q*g**2.
g*(g - 2)*(g + 1)*(g + 2)/3
Let i(w) be the first derivative of -5*w**3 + 3 - 12*w**2 - 3/4*w**4 - 12*w. Factor i(o).
-3*(o + 1)*(o + 2)**2
Let o(g) be the first derivative of -4*g**3/3 + 104*g**2 - 2704*g - 55. Factor o(p).
-4*(p - 26)**2
Let z(w) = 16*w**4 + 15*w**3 + w**2 - 12*w - 2. Let o(l) = -30*l**4 - 30*l**3 + 25*l + 5. Let g(x) = -3*o(x) - 5*z(x). Factor g(s).
5*(s - 1)*(s + 1)**2*(2*s + 1)
Let f be -2*(-1 - (-9)/6). Let u be -3*(f + 0)*1. Factor 3*z**4 + u*z**4 - 5*z**4.
z**4
Solve -3/2*t**4 - 15/2*t**3 + 3/2*t**2 + 3/2*t**5 + 12*t + 6 = 0.
-1, 2
Determine w, given that 0*w**2 - 2/5*w**5 + 0 - 18/5*w**3 + 4*w**4 + 0*w = 0.
0, 1, 9
Let p(o) be the second derivative of -o**4/54 - o**3/3 - 14*o**2/9 + 104*o - 1. Factor p(t).
-2*(t + 2)*(t + 7)/9
Let r = 151/798 + -3/133. Factor -1/6*n**2 + 0 + 1/3*n - r*n**3.
-n*(n - 1)*(n + 2)/6
Let a(b) be the second derivative of b**8/63840 + 3*b**4/4 + b. Let n(h) be the third derivative of a(h). Factor n(c).
2*c**3/19
Let s(i) be the third derivative of -i**6/72 - i**5/24 + 3*i**3 + 11*i**2. Let y(p) be the first derivative of s(p). Factor y(l).
-5*l*(l + 1)
Determine q, given that -1/6*q**2 + 0*q + 0 = 0.
0
Let t(x) be the first derivative of -5 + 1/12*x**4 - 7/9*x**3 + 0*x + x**2. Factor t(l).
l*(l - 6)*(l - 1)/3
Factor 2*a**2 - 6774 + 6830 - a + 33*a.
2*(a + 2)*(a + 14)
Let q(c) = c**3 - 18*c**2 + 2*c - 33. Let p be q(18). Let -8*u**5 + 5 - 29 - 42*u**2 + u**p - 60*u + 12*u**4 + 2*u**3 + 11*u**5 = 0. Calculate u.
-2, -1, 2
Factor 5 + 3 - 8 + 8*o - o**3 + 2*o**2.
-o*(o - 4)*(o + 2)
Let u be 0 + 3 - 2/(-2)*19. What is h in -6*h - 4*h**2 + 2*h**2 + u - 26 = 0?
-2, -1
Determine y so that 26/19*y + 60/19 - 2/19*y**2 = 0.
-2, 15
Suppose -2*t + 6 = 0, 5*t = 4*d - 0*t - 13. Let z(x) be the first derivative of x + 1/2*x**4 + 0*x**3 - 1/5*x**5 - x**2 + d. Find i such that z(i) = 0.
-1, 1
Let a(i) be the first derivative of i**3 + 5*i**2/2 + 2. Let t(o) = -13*o**2 - 21*o + 1. Let v(h) = 9*a(h) + 2*t(h). Factor v(p).
(p + 1)*(p + 2)
Factor s**4 + 34*s**2 + 28*s + 11 - 11*s**2 + 10*s**3 + 1 - 2*s**3.
(s + 1)*(s + 2)**2*(s + 3)
Let h be (18 - 27)*(-2)/3. Let v(o) be the third derivative of 0*o + 0*o**5 + 0*o**7 - 5*o**2 + 1/60*o**h + 0 - 1/42*o**8 + 0*o**3 + 0*o**4. Factor v(s).
-2*s**3*(2*s - 1)*(2*s + 1)
Let q(a) = 4*a**3 - 5*a**2 + 3*a + 2. Let l be q(3). Factor -78*j**2 - 17*j + l*j + 57*j**3 - 3*j**4 - 15 - 15*j**3 - 2*j**5 - j**5.
-3*(j - 1)**4*(j + 5)
Suppose 3*a = -2 + 14. Suppose 2*h = a*l - 16, 9*h - 10 = 4*h. Factor 1/4*q**l + 0*q**2 - 1/2*q**4 + 0*q + 0 + 1/4*q**3.
q**3*(q - 1)**2/4
Let g(o) = 4*o**3 + 20*o**2 + 12*o + 2. Let b(a) = 2*a**2 + 1. Let n(f) = -2*b(f) + g(f). Suppose n(v) = 0. What is v?
-3, -1, 0
Suppose 2*q + 6 = 4*q. Suppose 2 + 10*u**2 + q*u**3 + 0*u**2 - 2 - u**4 = 0. What is u?
-2, 0, 5
Find l such that -21*l**2 - 11*l**2 + 43 - 23 + 21*l - 9*l = 0.
-5/8, 1
Solve 13*j**2 - 35*j + j**4 + 3 + 1 + 6*j + 17*j - 6*j**3 = 0 for j.
1, 2
Factor 4*s**3 + 7295*s**2 - s**3 - 6*s**3 - 7175*s**2 + 2166 - 1311*s.
-3*(s - 19)**2*(s - 2)
Let d(r) be the third derivative of -r**7/112 - r**6/80 + 13*r**5/80 - 5*r**4/16 + 3*r**3/16 + 3*r**2 - 15. Determine z so that d(z) = 0.
-3, 1/5, 1
Suppose -4*c = 18 - 2, -3*d - 4*c + 8 = 0. Let o(n) = -n**2 - 14*n + 4. Let a be o(-12). Factor -5*x - 4*x**2 - d + 29*x + 0 - a.
-4*(x - 3)**2
Let g be (-3 - (-18)/12)*16/(-6). Let o(u) = -u**4 - u**3 - u**2 - u. Let p(k) = 3*k**4 + 6*k**3 + 7*k**2 + 4*k. Let i(y) = g*o(y) + p(y). Factor i(n).
-n**2*(n - 3)*(n + 1)
Let l be ((-344)/301)/(14/(-49)). Factor 0*p + 1/2*p**l + 0 - 2*p**3 + 2*p**2.
p**2*(p - 2)**2/2
Let b(z) be the second derivative of z**4/24 - 16*z**3/3 + 256*z**2 - 24*z - 1. Find f such that b(f) = 0.
32
Suppose -k = -3*p - p - 1, -5*p = -5. Let n(f) be the first derivative of 2/5*f**k + 0*f - 2/3*f**3 + 1/2*f**2 + 0*f**4 - 8 - 1/6*f**6. Factor n(t).
-t*(t - 1)**3*(t + 1)
Solve -1/4*n**2 - 9/2*n + 10 = 0 for n.
-20, 2
Suppose -4 - 4 = -4*u. Let 1/4 - 3/4*a - a**u = 0. What is a?
-1, 1/4
Factor -432/11*t**2 + 1458/11 - 52/11*t**3 - 2/11*t**4 - 972/11*t.
-2*(t - 1)*(t + 9)**3/11
Let i(x) = -3*x**2 - 40*x - 4. Let w be i(-13). Determine a, given that -12*a**3 - 6*a**4 + 4*a**5 + w*a**2 + 14*a**4 - 25*a**2 + 16*a = 0.
-2, 0, 1
Let x(g) = -g + 19. Let q(r) = -5*r + 76. Let k(a) = 4*q(a) - 18*x(a). Let t be k(-20). Determine f, given that 0*f + 2/7*f**t + 0 + 2/7*f**3 = 0.
-1, 0
Let o(p) = -4*