p + 21*p**3 - 5*p**3 + 20*p**2.
-4*p*(p - 4)*(p - 1)
Let i(t) be the third derivative of -t**6/120 + t**5/24 + t**4/12 - t**3/4 - 357*t**2. Factor i(a).
-(a - 3)*(a + 1)*(2*a - 1)/2
Let b be ((-2)/4)/((-2)/44). Suppose 4*l = -3*s + 3, 2*l + 0*l + b = s. Determine g so that 0 - 1/2*g**s + 0*g**2 - g**4 + 0*g - 1/2*g**3 = 0.
-1, 0
Let x(q) be the first derivative of -2*q**6/3 + 24*q**5/5 + q**4 - 152*q**3/3 + 128*q - 201. Determine r, given that x(r) = 0.
-2, -1, 1, 4
Let g = 551 + -2203/4. Factor -1/2*r + 3/4*r**2 + 0 - g*r**3.
-r*(r - 2)*(r - 1)/4
Let w(k) be the first derivative of -3*k**4/2 + 5*k**3/3 - k**2/2 + 9. Factor w(c).
-c*(2*c - 1)*(3*c - 1)
Let y(s) = -36*s**4 + 96*s**3 - 24*s**2 - 114*s - 21. Let z(t) = -7*t**4 + 19*t**3 - 5*t**2 - 23*t - 4. Let j(k) = 4*y(k) - 21*z(k). Factor j(w).
3*w*(w - 3)**2*(w + 1)
Let t(u) = -u**4 - 11*u**3 + 3*u**2 + 57*u + 44. Let d(j) = 2*j**3 + 2*j**2 - j - 1. Let b(c) = 4*d(c) + 2*t(c). Let b(p) = 0. What is p?
-7, -2, -1, 3
Let j(y) be the first derivative of -5 - 14/3*y**3 + 0*y + 2*y**2. Find a, given that j(a) = 0.
0, 2/7
Let p(b) be the second derivative of -b**4/8 - 89*b**3/2 - 23763*b**2/4 - 518*b. Let p(z) = 0. Calculate z.
-89
Let l be 4/((55/11)/(2 - 1)). Find c such that 12/5*c**4 - 24/5*c**2 + 8/5*c**3 - 4/5*c + 12/5 - l*c**5 = 0.
-1, 1, 3
Let o be -5 + (-2 - 0) + 1. Let c = o + 8. Factor 5 + 5 + 3*j**c - 6*j - 10.
3*j*(j - 2)
Let s(f) be the third derivative of -f**8/2240 + f**7/840 + f**4/24 + 17*f**2. Let w(c) be the second derivative of s(c). Factor w(t).
-3*t**2*(t - 1)
Let w(h) = -23*h**2 + 53*h + 6. Let j(l) = 11*l**2 - 27*l - 2. Let q(d) = 5*j(d) + 3*w(d). Let q(z) = 0. What is z?
-2/7, 2
Suppose -l = 3*y - 1, 5*y + 0*l - 4*l = 30. Factor 6 - y + 0 + 4*p - 8 - p**2.
-(p - 2)**2
Let o(g) = 27*g**4 + 75*g**3 + 62*g**2 + g - 9. Let j(v) = -v**4 - v**3 + 2*v**2 - 3*v - 1. Let d(l) = -j(l) + o(l). Find s, given that d(s) = 0.
-1, 2/7
Suppose -5*h - 5*m = 5, -4*m - 4 = -3*h - 2*h. Let 0*l + 2/19*l**2 + h = 0. Calculate l.
0
Solve 12/5 + 13*d**2 + 73/5*d = 0.
-12/13, -1/5
Let j(k) be the second derivative of -k**5/10 - 7*k**4/3 - 44*k**3/3 - 40*k**2 - 55*k. Factor j(l).
-2*(l + 2)**2*(l + 10)
Determine a so that -26*a - 29*a**2 + 13*a + 28*a**2 = 0.
-13, 0
Let s be (2 - (-8 + 14))/(-2). Solve 22/9*v**s + 2/9*v**4 - 2*v**3 + 2/9*v**5 + 0 - 8/9*v = 0.
-4, 0, 1
Let u(f) be the first derivative of -7*f**4/5 + 8*f**3/15 + 56*f**2/5 - 32*f/5 - 112. Factor u(w).
-4*(w - 2)*(w + 2)*(7*w - 2)/5
Let i(d) = -35*d**3 + 2160*d**2 - 5725*d - 7970. Let j(h) = 3*h**3 - 180*h**2 + 477*h + 664. Let r(a) = 2*i(a) + 25*j(a). Find f such that r(f) = 0.
-1, 4, 33
Let g be 4 + (0 - 5) + 3. Suppose -y = -5*a + 6, 0*y + 8 = y + g*a. Solve 12*i**2 + 4*i**5 + 3*i**4 - 10*i**4 - y*i**3 - 5*i**4 = 0.
-1, 0, 1, 3
Find p such that -192/5*p - 512/5 - 24/5*p**2 - 1/5*p**3 = 0.
-8
Let l(k) be the second derivative of 14*k + 2/15*k**4 + 0*k**3 + 7/15*k**7 + 0*k**2 + 0 - 12/25*k**5 + 7/25*k**6. Determine c so that l(c) = 0.
-1, 0, 2/7
Let v be ((-36)/(-340))/(3*5/150). Factor 10/17*k**2 - v - 2/17*k**3 - 6/17*k.
-2*(k - 3)**2*(k + 1)/17
Suppose -4*z - 1 = q, -6*z = z + 3*q + 3. Let m(s) be the first derivative of s**2 + 3 + z*s + 8/9*s**3 + 1/6*s**4. Solve m(u) = 0.
-3, -1, 0
Factor -80/3*y**3 - 2/3*y**4 + 0 - 28*y + 166/3*y**2.
-2*y*(y - 1)**2*(y + 42)/3
Let z = 20 + -20. Find w such that 8*w + w**2 - 9*w + z*w**2 = 0.
0, 1
Let y be (4/(-6))/(2 - 51/27). Let z be 56/(-36)*y/7. Factor -2/3*i**4 + 4/3*i**2 - 2/3*i - 2/3 + z*i**3 - 2/3*i**5.
-2*(i - 1)**2*(i + 1)**3/3
Let w = -6505 + 6507. Factor 0 - 4*d**w + 2/5*d**4 + 0*d + 6/5*d**3.
2*d**2*(d - 2)*(d + 5)/5
Let g(d) be the first derivative of -d**5/240 - 5*d**4/96 + d**3/4 + 11*d**2 - 20. Let w(z) be the second derivative of g(z). Factor w(a).
-(a - 1)*(a + 6)/4
Solve -10658/5 - 2/5*d**2 + 292/5*d = 0 for d.
73
Let h = -72 - -76. Factor 0*d**2 + 2*d**2 + h*d - 6*d**2 + d**3.
d*(d - 2)**2
Let s(c) be the third derivative of -c**6/30 - 3*c**5 - 225*c**4/2 - 2250*c**3 - 71*c**2. Find y such that s(y) = 0.
-15
Let k be (-436)/(-22) - (-6)/33. Let s be (-10)/k - (-94)/4. Let a**5 + 16*a - 3*a**5 - 10*a**4 + s + 2*a**2 - 15 - 14*a**3 = 0. Calculate a.
-2, -1, 1
Let l = 2521 + -2516. Let 27/2*n**4 - 3*n - 15/2*n**3 + 21/2*n**l - 27/2*n**2 + 0 = 0. Calculate n.
-1, -2/7, 0, 1
Let l be 6 + 15/(-10) - (10 + -7). Find r such that 3/2*r**5 + 0*r**2 - l*r**3 + 0*r**4 + 0*r + 0 = 0.
-1, 0, 1
Let y(b) = -8*b**4 - 20*b**3 + 25*b**2 + 3. Let w(f) = -9*f**4 - 20*f**3 + 25*f**2 + 4. Let t(p) = -3*w(p) + 4*y(p). Factor t(l).
-5*l**2*(l - 1)*(l + 5)
Suppose v + 0*v = 10. Suppose i - 5*l - 1 + 7 = 0, -i - 3*l + v = 0. Factor -2/3*c**3 + 2/3*c**5 + 2/3*c**i + 0 + 0*c - 2/3*c**2.
2*c**2*(c - 1)*(c + 1)**2/3
Let v = -23 - -38. Suppose 5*h - 3*y = -y, 5*h = -y + v. Let 7*l**2 - 6*l + 8*l**2 - h*l**2 + 2*l**2 = 0. Calculate l.
0, 2/5
Let p(c) be the first derivative of -1/3*c**3 + 2/5*c**2 + 2/15*c**4 - 5*c - 1/50*c**5 - 2. Let u(j) be the first derivative of p(j). Factor u(o).
-2*(o - 2)*(o - 1)**2/5
Suppose -4*p - d + 5 = 0, 3*p + 0*p + 2*d = 0. Let u = p - -4. Factor 4*z**5 + 0*z**4 - 2 - 2*z**3 - u*z**4 + 8*z**2 + 0*z**4 - 2*z**3.
2*(z - 1)**3*(z + 1)*(2*z + 1)
Let h(t) be the first derivative of -t**5/5 - 21*t**4/4 - 137*t**3/3 - 279*t**2/2 - 162*t - 69. Factor h(o).
-(o + 1)*(o + 2)*(o + 9)**2
Let j(z) = -4*z**3 + 64*z**2 + 175*z + 47. Let l(i) = -15*i**3 + 257*i**2 + 701*i + 189. Let b(m) = -26*j(m) + 6*l(m). Factor b(k).
2*(k - 11)*(k + 2)*(7*k + 2)
Let m be (1 + 78/(-84))*4. Solve 0 - m*j**3 - 2/7*j**2 + 2/7*j + 2/7*j**4 = 0 for j.
-1, 0, 1
Let g(m) be the second derivative of m**7/252 - 11*m**6/360 + m**5/30 - 2*m**4/3 - 34*m. Let l(y) be the third derivative of g(y). Factor l(k).
2*(k - 2)*(5*k - 1)
Let w be 2 + (-3)/(-3) - 0. Let s be w/42*8/1. Factor s*n**2 + 4/7 - 6/7*n**3 + 2*n.
-2*(n - 2)*(n + 1)*(3*n + 1)/7
Let p = 416 - 412. Let 9/4*y**3 - 1/2*y**2 - 9/4*y - 1/2 + y**p = 0. Calculate y.
-2, -1, -1/4, 1
Factor -24*x**2 + 121/5 - 22/5*x**3 + 22/5*x - 1/5*x**4.
-(x - 1)*(x + 1)*(x + 11)**2/5
Let s = -2299 - -2301. Factor 0 + 10/11*l - 2/11*l**s.
-2*l*(l - 5)/11
Let b be (5 - 5) + 3 + 0. Suppose -9*l - 18 = -i - 4*l, b*i + 3*l = 0. Determine s, given that 0*s**3 - 4*s - 4*s**2 + s**3 - 3*s**i + 10*s**2 = 0.
0, 1, 2
Let n(t) = -3*t**2 + t - 4. Let d(q) = -5*q**2 + 2*q - 10. Let u(v) = 4*d(v) - 7*n(v). Factor u(k).
(k - 3)*(k + 4)
Let j(x) be the first derivative of 4*x**3/3 + 7*x**2/2 - 15*x - 136. Factor j(g).
(g + 3)*(4*g - 5)
Let m = 2/27427 + 219402/191989. Let 156/7*a**2 - m + 4*a = 0. What is a?
-1/3, 2/13
Suppose 2*l + 0*l - 6 = 0. Let h = 921 - 905. Factor -14*k**2 - 3*k**2 - 188*k**4 + 5*k**2 + h*k**l + 184*k**4.
-4*k**2*(k - 3)*(k - 1)
Let q(w) be the third derivative of -w**5/80 - w**4/6 - 13*w**3/24 + w**2 - 2*w. Solve q(t) = 0 for t.
-13/3, -1
Let c = 6211/5865 - -3/391. Let i(x) be the second derivative of 7/5*x**5 + 0*x**3 + 0 + 0*x**2 + 2/3*x**4 + c*x**6 + 4*x + 2/7*x**7. Factor i(t).
4*t**2*(t + 1)**2*(3*t + 2)
Let j(p) = 2*p**2 - 8*p + 16. Let r(t) = 2*t**2 - 6*t + 16. Let x(m) = 6*j(m) - 5*r(m). Solve x(l) = 0.
1, 8
Let t = -9/46 + 137/230. Determine q so that 2/5*q**4 + 4/5*q**2 + t*q**5 - 12/5*q**3 - 6/5 + 2*q = 0.
-3, -1, 1
Let w(a) be the first derivative of -a**6/6 - a**5/5 + 3*a**4/2 - 27. Find p, given that w(p) = 0.
-3, 0, 2
Let x = 101 - 97. Factor 75*o**3 - 2*o**x - 82*o**3 - 3*o - 4*o**2 + 3*o + o**5.
o**2*(o - 4)*(o + 1)**2
Let z = 24862/47 + -529. Let i = z + 199/517. Factor i*s**2 + 6/11*s - 4/11.
2*(s + 2)*(2*s - 1)/11
Let y(h) = -16*h**3 - 18*h**2 + h. Let d(x) = x**3 + x**2 - x. Let k(s) = 3*d(s) + y(s). What is j in k(j) = 0?
-1, -2/13, 0
Let c(m) = m + 37. Let y be c(-10). Let k be 4/y*(-48)/(-32). What is a in 2/9*a**5 + 2/3*a**4 + 0*a + k*a**2 + 2/3*a**3 + 0 = 0?
-1, 0
Let -18/7 + 20/7*y - 2/7*y**2 = 0. What is y?
1, 9
Let v(h) = 4*h**3 - 14*h**2 + 11*h - 16. Let w(d) = -d**3 + d**2 + 2*d + 1. Let k(o) = v(o) + 5*w(o). Factor k(n).
-(n - 1)**2*(n + 11)
Let h(g) be the second derivative of -g**8/1344 + g**7/168 - g**5/6 + 29*g**4/12 + 10*g. Let w(a) be the third derivative of h(a). Find n, given that w(n) = 0.
-1, 2
Let y = -3257 - -3261. Fact