et z be (-2)/13 + 56/26. Suppose z*y = -5 + 9. Factor -3/4*r**3 + 3/4*r**y + 0*r + 0.
-3*r**2*(r - 1)/4
Let o = -90 + 210. Let s = -118 + o. Find y such that 2/5*y**4 + 0*y + 0 - 2/5*y**s + 2/5*y**3 - 2/5*y**5 = 0.
-1, 0, 1
Let n(r) = -12*r**3 + r**2 + 11*r + 7. Let s(v) = -v**3 - v**2 + v + 1. Let p(b) = 4*n(b) - 28*s(b). Factor p(l).
-4*l*(l - 2)*(5*l + 2)
Let o(i) be the first derivative of -2*i**3/9 + i**2/3 + 8*i + 76. Factor o(r).
-2*(r - 4)*(r + 3)/3
Suppose 0*n - 5*n = -15. Suppose 2*z = -4*c - 2*z + 28, -3*c + n*z + 3 = 0. Factor 7*w**4 - 3*w**5 - 3*w - 7*w**c + 6*w**3.
-3*w*(w - 1)**2*(w + 1)**2
Let k(g) be the first derivative of -g**3/3 + 2*g**2 + 148. Factor k(v).
-v*(v - 4)
Suppose -3*s + 361 = i, 0 = i + 2. Let f = s + -601/5. Solve 14/5*n**2 - 8/5 - 8/5*n - f*n**3 = 0.
-1/2, 2
Let c(j) = -9*j**3 + 19*j**2 - 19*j - 14. Let r(s) = s**3 - s**2 - s - 2. Let h(w) = 2*c(w) + 22*r(w). Determine d, given that h(d) = 0.
-6, -1, 3
Factor -159 - 12*o - 28 + 186*o - 109 - 4*o**2 - 18*o.
-4*(o - 37)*(o - 2)
Let n be (10 + -8)/((-256)/(-24) + -10). Factor 0*c**2 + 8/13*c**n - 2/13*c**4 + 0*c + 0.
-2*c**3*(c - 4)/13
Let 16/3*n - 4/3*n**3 + 2 + 2*n**2 = 0. Calculate n.
-1, -1/2, 3
Let n(g) be the third derivative of -g**5/120 + 11*g**4/24 - 7*g**3/4 - 17*g**2 + 2. Factor n(y).
-(y - 21)*(y - 1)/2
Suppose -3*y + 777 = -123. Suppose -25*g**2 - 11*g**3 - 8*g**2 - 7*g**3 + 0*g**3 + y + 3*g**4 + 180*g = 0. Calculate g.
-2, 5
Suppose -37*m - 49*m - 155 = -117*m. Factor 0 + 12/7*h**4 + 0*h + 6/7*h**2 + 3/7*h**m + 15/7*h**3.
3*h**2*(h + 1)**2*(h + 2)/7
Let d(w) be the first derivative of w**6/54 + 7*w**5/45 + 5*w**4/12 + 13*w**3/27 + 2*w**2/9 + 44. Factor d(l).
l*(l + 1)**3*(l + 4)/9
Let t(d) = 74*d**3 + 4*d**2 - 24*d + 36. Let o(n) = 4*n**3 + n. Let a(m) = 36*o(m) - 2*t(m). Solve a(g) = 0 for g.
-6, 1, 3
Factor -2/5*w**2 - 8 - 24/5*w.
-2*(w + 2)*(w + 10)/5
Let a(d) = -60*d**2 + 512*d - 450. Let c(o) = -o**3 - 59*o**2 + 513*o - 450. Let k(l) = 6*a(l) - 4*c(l). Determine m, given that k(m) = 0.
1, 15
Suppose 22*l = 18*l + 4*w + 32, -w = -4*l + 14. Factor 2/11*f**l - 4/11*f + 2/11.
2*(f - 1)**2/11
Let f(p) be the first derivative of -p**6/39 - 14*p**5/65 - 5*p**4/13 - 113. Factor f(l).
-2*l**3*(l + 2)*(l + 5)/13
Suppose 3*t = j, -5*t - 3*j + 95 = 67. Determine g, given that -4/13*g**t + 14/13*g - 6/13 = 0.
1/2, 3
Let w(r) be the second derivative of -r**6/105 - 6*r**5/35 - 6*r**4/7 - 32*r**3/21 + 33*r - 2. Find v such that w(v) = 0.
-8, -2, 0
Let y(f) be the second derivative of f**7/70 + 3*f**6/50 + 9*f**5/100 + f**4/20 - 30*f + 2. Solve y(v) = 0.
-1, 0
Let s = 107/30 + -53/15. Let l(q) be the third derivative of -12*q**2 - s*q**6 - 1/5*q**5 + 0*q**3 + 0 + 0*q - 1/3*q**4. Find h such that l(h) = 0.
-2, -1, 0
Let x(p) be the first derivative of -2*p**3/3 + 2*p - 97. Factor x(k).
-2*(k - 1)*(k + 1)
Let j(t) be the second derivative of t**6/30 + 3*t**5/20 + t**4/6 - 2*t - 13. Find b, given that j(b) = 0.
-2, -1, 0
Let f(r) be the second derivative of r**8/13440 - r**7/1680 - 29*r**4/12 - 30*r. Let h(g) be the third derivative of f(g). Factor h(q).
q**2*(q - 3)/2
Let w(k) be the second derivative of 1/42*k**7 + 1/20*k**5 + 12*k - 7/6*k**4 + 0 - 10/3*k**3 - 4*k**2 + 2/15*k**6. Determine x, given that w(x) = 0.
-2, -1, 2
Suppose -f - 3*f = -936. Let g be 65/f + (-4)/(-18). Determine t, given that -1/8*t**3 - g - 5/8*t**2 - t = 0.
-2, -1
Factor -539*m + 581*m + 2*m**2 + m**2.
3*m*(m + 14)
Suppose 4*v + 20 = 2*l, -5*l + 0*v - 5*v = 25. Let k be 18/(-45) - (-2)/5. Determine s, given that 1/5*s**2 + l*s + k = 0.
0
Let x = 4 + -28. Let q = -21 - x. Factor 9*u**2 - 4*u**4 - 12*u**3 - 3*u**2 - 11*u**4 + q*u**3.
-3*u**2*(u + 1)*(5*u - 2)
Let p be (0 + 3 - 7)*-1. Let v = -193 + 199. Determine g so that -3*g**p - 3*g**3 + 3/2*g**5 + v*g**2 + 3/2*g - 3 = 0.
-1, 1, 2
Find h such that 0*h + 5/4*h**5 - 45/4*h**3 + 0 + 35/2*h**2 - 15/2*h**4 = 0.
-2, 0, 1, 7
Let t = -151528/1505 + 25/301. Let d = t + 101. Factor -d*u + 0*u**3 + 2/5*u**5 + 0 - 4/5*u**4 + 4/5*u**2.
2*u*(u - 1)**3*(u + 1)/5
Let -11/3*w**2 + 1/6*w**5 + 4/3*w**4 + 16/3 - 16/3*w + 13/6*w**3 = 0. What is w?
-4, -2, 1
Let l be (-27)/(-3)*(-10)/(-15). Let z(q) = q - 3. Let v be z(l). Solve 3*j**3 - 3*j**3 + v*j**3 = 0.
0
Let q(p) be the third derivative of 1/27*p**4 + 0*p + 1/135*p**5 + 0 - 16/27*p**3 + 27*p**2. Suppose q(r) = 0. What is r?
-4, 2
Let c = 797 + -795. Factor -4/3*g - 1/6*g**c - 8/3.
-(g + 4)**2/6
Factor 34 + 62 + 12 + 58*v + 12*v**2 + 6*v**2 - 16*v**2.
2*(v + 2)*(v + 27)
Let x = -1196 + 14353/12. Let t(a) be the second derivative of -1/6*a**4 + 0*a**3 + 11*a + 0 - 1/5*a**5 - 1/84*a**7 - x*a**6 + 0*a**2. What is s in t(s) = 0?
-2, -1, 0
What is z in 3/4*z**3 + 0*z - 1/8*z**4 + 0 - z**2 = 0?
0, 2, 4
Suppose -2*z - 5*m + 4 = -3*m, 0 = -3*z + 3*m + 30. Let x = 10 - z. Suppose s**2 + 2*s**4 - 10*s**3 - s**5 + s**x + 7*s**3 = 0. Calculate s.
0, 1
Let h(s) be the third derivative of 11*s**5/30 + s**4 + 17*s**3/3 - 29*s**2. Let n(l) = 7*l**2 + 8*l + 11. Let o(c) = -5*h(c) + 16*n(c). Solve o(g) = 0 for g.
-3, -1
Let k(c) be the first derivative of -c**6/6 + 7*c**5/5 - 11*c**4/4 + 5*c**3/3 + 159. Solve k(s) = 0.
0, 1, 5
Let -56/5*l**2 - 124/5*l + 4/5*l**3 - 64/5 = 0. Calculate l.
-1, 16
Let t(j) be the third derivative of -9*j**2 + 0 - 2/15*j**5 + 8/105*j**7 - 4/3*j**3 + 3/2*j**4 + 0*j - 3/10*j**6. Find r such that t(r) = 0.
-1, 1/4, 1, 2
Let c(a) be the third derivative of a**6/24 - 5*a**5/12 - 2*a**2 + 13. Find x, given that c(x) = 0.
0, 5
Factor -4*r - 3766*r**3 - 9*r**2 - 7*r**2 - 11*r**2 + 12 + 3755*r**3.
-(r + 1)*(r + 2)*(11*r - 6)
Let a(z) be the first derivative of z**6/13 + 2*z**5/13 - z**4/13 - 4*z**3/13 - z**2/13 + 2*z/13 + 106. Solve a(y) = 0.
-1, 1/3, 1
Let v(b) be the first derivative of -b**6/5 + 12*b**5/5 + 69*b**4/10 - 96*b**3 - 1728*b**2/5 + 58. Let v(g) = 0. Calculate g.
-3, 0, 8
Let x be (0 - (3 + -4))/(-1). Let c = x + 4. Let c*t + 3*t + 15*t**4 + 3 - 6*t**3 - 18*t**4 = 0. Calculate t.
-1, 1
Let n(i) be the second derivative of -5*i**6/6 - 23*i**5/12 + 25*i**4/4 + 355*i**3/18 + 15*i**2 - 711*i. Solve n(r) = 0 for r.
-2, -1, -1/3, 9/5
Let f = 22 + -18. Factor 12*d**2 - 8 - 4*d**4 + 0*d + 7*d**4 + 4*d - 7*d**f - 4*d**3.
-4*(d - 1)**2*(d + 1)*(d + 2)
Let v(n) be the second derivative of -n**6/40 - 3*n**5/20 - 3*n**4/8 - n**3/2 - 6*n**2 + n. Let f(g) be the first derivative of v(g). Factor f(t).
-3*(t + 1)**3
Suppose 374*p = 365*p. Let d(a) be the third derivative of -7*a**2 + 0*a + 1/420*a**6 - 1/210*a**5 + 0 - 1/42*a**4 + p*a**3. Factor d(i).
2*i*(i - 2)*(i + 1)/7
Let f(r) be the first derivative of r**3/3 - 13. Let z(s) = 38*s**2 - 12*s + 2. Let k(g) = 44*f(g) - 2*z(g). Factor k(v).
-4*(2*v - 1)*(4*v - 1)
Let d = -35947 - -35947. What is j in 2/7*j**4 + 4/7*j**3 + 0 + 0*j + d*j**2 = 0?
-2, 0
Let w(t) be the second derivative of -3*t**5/20 + 13*t**4/4 + 29*t**3/2 + 45*t**2/2 - 44*t. Suppose w(n) = 0. What is n?
-1, 15
Let j(z) be the third derivative of -z**8/40320 + z**7/7560 - z**6/4320 + z**5/3 - 18*z**2. Let p(u) be the third derivative of j(u). Factor p(q).
-(q - 1)*(3*q - 1)/6
Let i(y) be the second derivative of -y**5/480 + y**4/96 - 2*y**2 - 12*y. Let n(b) be the first derivative of i(b). Suppose n(f) = 0. Calculate f.
0, 2
Let f(h) be the third derivative of -h**5/100 + h**4/20 + 3*h**3/10 + 139*h**2. Solve f(q) = 0.
-1, 3
Let d be 0 + (-116)/(-16) - (0 + 7). Solve 0*i**3 + 0 - 1/2*i**4 + d*i**5 + 1/2*i**2 - 1/4*i = 0.
-1, 0, 1
Let l = 83 + -63. Let 35*h + 17*h**2 + l - 4*h**3 + 0*h**3 + h - 5*h**2 = 0. What is h?
-1, 5
Let w(c) be the second derivative of 6*c - 1/78*c**4 + 0*c**2 + 0 + 1/130*c**5 - 2/39*c**3. Factor w(v).
2*v*(v - 2)*(v + 1)/13
Let f = 194/371 + -5/53. What is x in 27/7*x**2 + 0 + 0*x + f*x**5 - 15/7*x**4 + 9/7*x**3 = 0?
-1, 0, 3
Let i = -569 - -569. Let l(v) be the second derivative of 3/80*v**5 + 0*v**2 + 2*v + i + 1/40*v**6 + 0*v**4 + 0*v**3. Factor l(a).
3*a**3*(a + 1)/4
Suppose -2/9*o**2 - 2/3*o + 2/9*o**4 + 2/3*o**3 + 0 = 0. Calculate o.
-3, -1, 0, 1
Suppose -5 = -5*o + 10. Find s such that s**2 + 0*s + 4 + o*s**2 - s - 9*s = 0.
1/2, 2
Let v(m) = -2*m**4 - 12*m**3 + 10*m**2 + 42*m + 22. Let f(k) = -4*k**4 - 24*k**3 + 22*k**2 + 85*k + 43. Let u(c) = 4*f(c)