2)**2/2
Let n(c) be the third derivative of -c**8/60480 + c**7/1890 - c**6/135 - 29*c**5/60 - 26*c**2. Let a(k) be the third derivative of n(k). Factor a(p).
-(p - 4)**2/3
Let w(o) be the third derivative of -1/156*o**4 - 1/1092*o**8 + 0*o**3 - 3/260*o**6 + 0 + 0*o - 1/78*o**5 + 37*o**2 - 1/195*o**7. Let w(f) = 0. Calculate f.
-1, -1/2, 0
Let k(x) = x**3 - 119*x**2 - 241*x - 97. Let t be k(121). Factor 3/2*s**5 - 6 - 75/2*s**2 - 21/2*s**4 + 57/2*s**3 + t*s.
3*(s - 2)**2*(s - 1)**3/2
Suppose -4*v + 2*v = 28. Let z = v + 19. Factor -3*u**4 + u**4 - 3*u**3 + z*u**3.
-2*u**3*(u - 1)
Let j = 115 - 110. Suppose -5*k = 5*a - 0*a + 5, -j*k + 27 = -3*a. Find f such that -2/5 + 6/5*f**2 + 0*f + 4/5*f**k = 0.
-1, 1/2
Let g be ((-392)/(-44))/((-1859)/(-121) + -15). Let -g - 1/2*o**2 - 7*o = 0. What is o?
-7
Let b(c) = -c**2 - c - 1. Let g be 4/(-4)*2*(-2)/4. Let j(n) = -3*n**2 + 21*n + 12. Let x(m) = g*j(m) + 6*b(m). Find s such that x(s) = 0.
-1/3, 2
Let w(h) be the third derivative of -h**7/840 - h**6/1080 - h**4/6 + 2*h**2. Let y(z) be the second derivative of w(z). Factor y(o).
-o*(9*o + 2)/3
Let h(j) be the first derivative of 9 - 1/16*j**4 - 1/4*j**3 + 1/20*j**5 + 5/8*j**2 - 1/2*j. Factor h(r).
(r - 1)**3*(r + 2)/4
Let o = 611 + -61099/100. Let c(n) be the third derivative of o*n**5 + 2*n**2 + 0*n**3 + 0*n**4 + 0 + 0*n. Solve c(j) = 0.
0
Let s(d) = 4*d**2 - 84*d - 1. Let y(c) = -c**2 + c - 1. Let p(m) = s(m) - y(m). Factor p(r).
5*r*(r - 17)
Suppose 21*b = 20*b + 5. Let v(h) be the second derivative of b*h - 1/6*h**3 + 0 + 1/16*h**4 + 1/8*h**2. What is s in v(s) = 0?
1/3, 1
Let d = -212 - -216. Suppose 4*n = -n + d*n. Factor 1/5 - 1/5*c**2 + n*c.
-(c - 1)*(c + 1)/5
Let f(w) = w**2 + 3*w - 3. Let u be f(2). Suppose -u = -4*d + 3*d. Find p, given that -6*p**5 - 21*p**3 - d*p**5 + 24*p**4 + 3*p + 4*p**5 + 3*p**3 = 0.
-1/3, 0, 1
Solve -2/9*q**5 + 0*q + 0 - 2/9*q**3 + 0*q**2 + 4/9*q**4 = 0 for q.
0, 1
Let n be 3/(-6)*0*(-7)/21. Let j(g) be the third derivative of 7/180*g**5 + n*g - 1/36*g**4 + 0*g**3 + 0 + 2*g**2 + 1/40*g**6. Suppose j(s) = 0. What is s?
-1, 0, 2/9
Factor 8/7 + 6/7*q**3 - 8/7*q - 10/7*q**2.
2*(q - 2)*(q + 1)*(3*q - 2)/7
Suppose -6*m - 8 = -38. Factor d**5 - 3*d + 1 - 2*d - 10*d**3 + m*d**4 + 10*d**2 + 0*d**2 - 2*d**5.
-(d - 1)**5
Factor 16*a - 7 + 17 + 10 - 4*a**2.
-4*(a - 5)*(a + 1)
Let v(s) be the third derivative of 0 + 0*s + 1/6*s**4 + 4/105*s**7 - 4/15*s**5 - 1/15*s**6 + 6*s**2 + 1/84*s**8 + 4/3*s**3. Determine g, given that v(g) = 0.
-2, -1, 1
Let z(m) be the third derivative of m**7/315 - 7*m**6/180 + m**5/5 - 5*m**4/9 + 8*m**3/9 + 183*m**2. Solve z(u) = 0 for u.
1, 2
Let m(g) be the second derivative of g**5/180 + g**4/54 - g**3/6 - g**2 + 473*g. Suppose m(p) = 0. What is p?
-3, -2, 3
Let b(j) be the first derivative of -j**3/5 + 69*j**2/10 + 72*j/5 - 14. Factor b(i).
-3*(i - 24)*(i + 1)/5
Solve -1/9 - 1/9*s**2 - 2/9*s = 0 for s.
-1
Factor -228*s**2 - 190/3*s**4 + 0 + 108*s + 541/3*s**3 + 25/3*s**5.
s*(s - 2)**2*(5*s - 9)**2/3
Let w be (8/(-28))/(114/(-228)). Factor 4*j**2 + 44/7*j + w*j**3 + 20/7.
4*(j + 1)**2*(j + 5)/7
Suppose 0 = -32*h + 85 - 21. Suppose 1/2*i**3 + 1/2 + 3/2*i**h + 3/2*i = 0. Calculate i.
-1
Let w be (-1170)/(-2184) + (-2 - 14/(-8)). Find o such that -50/21*o**3 + 2*o**2 - 4/21 + 6/7*o**4 - w*o = 0.
-2/9, 1
Suppose 3*x + 15 = -12. Let y be 1*-1 + 2/(-18)*x. Factor -4/5*a**2 + 0*a - 24/5*a**3 - 27/5*a**4 + y.
-a**2*(3*a + 2)*(9*a + 2)/5
Suppose -q + 39 = 2*q. Let x be 4/(q*(-4)/(-2)). Solve 2/13*s**2 - x*s - 4/13 = 0 for s.
-1, 2
Let s(y) be the first derivative of 1/6*y**2 - 2/3*y + 1/9*y**3 + 5. Factor s(k).
(k - 1)*(k + 2)/3
Let k be ((-3)/2)/((-3)/4). What is f in 14*f + f**2 - 6*f - k*f - 3*f = 0?
-3, 0
Let h(x) be the second derivative of -x**4/54 + 16*x**3/27 - 64*x**2/9 - 20*x. Find a, given that h(a) = 0.
8
Suppose 37*i - 39 = -6 + 41. Solve -2/19*a**i - 2/19 + 4/19*a = 0.
1
Let s(p) = 4*p**4 - 640*p**3 + 25588*p**2 - 24968*p + 12. Let w(q) = -4*q**4 + 639*q**3 - 25590*q**2 + 24967*q - 9. Let k(h) = 3*s(h) + 4*w(h). Factor k(t).
-4*t*(t - 79)**2*(t - 1)
Let n(o) = 150*o - 3. Let x be n(7). Factor 1024 + 1066*g + 64*g**4 + x*g**2 + 726*g + 169*g**2 + 400*g**3 + 4*g**5.
4*(g + 2)**2*(g + 4)**3
Let w = 4998 + -4996. Find m, given that -3/4*m + 3/4*m**w + 0 = 0.
0, 1
Factor -72/7*p**3 - 1156/7*p + 102*p**2 + 0 + 2/7*p**4.
2*p*(p - 17)**2*(p - 2)/7
Let x(h) be the third derivative of -3/35*h**7 - 9/8*h**4 + 0*h + 0 + 1/112*h**8 + 3/10*h**5 + 0*h**3 + 1/5*h**6 - 4*h**2. Let x(b) = 0. What is b?
-1, 0, 1, 3
What is n in 120/7*n**2 - 900/7*n - 4/7*n**3 + 0 = 0?
0, 15
Solve d**2 - 8342 + 8342 + d**3 - d**4 - d = 0 for d.
-1, 0, 1
Let l be (36/45)/((-2)/(-10)). Suppose -3*a - 10 = -8*a. Factor v**a + 3*v - 2 + 2*v - v**3 + 2*v**2 - 4*v - v**l.
-(v - 1)**2*(v + 1)*(v + 2)
Let a = -430 + 432. Let f(l) be the second derivative of -3/4*l**5 + a*l - 7/2*l**3 + 0 + 1/10*l**6 + 9/4*l**4 + 3*l**2. Factor f(m).
3*(m - 2)*(m - 1)**3
Suppose 15 = 9*a - 4*a. Factor -2*z**4 + 6473*z**2 - 6473*z**2 - 4*z**a.
-2*z**3*(z + 2)
Solve -3/2*i**4 + 0 - 27*i**3 - 162*i**2 - 324*i = 0.
-6, 0
Let o(c) be the second derivative of 2/15*c**4 + 3*c + 4/15*c**3 - 2/75*c**6 + 0 + 1/105*c**7 - 3/50*c**5 + 0*c**2. Factor o(r).
2*r*(r - 2)**2*(r + 1)**2/5
Let s(f) = -f**2 - 16*f + 5. Let z be s(-15). Solve -6 - z*u**2 + 55*u + 10 + 11 = 0.
-1/4, 3
Let 45*a**2 - 2*a**3 + 48*a**2 - 2*a - 140*a**2 + 43*a**2 = 0. Calculate a.
-1, 0
Let c(o) be the first derivative of 10*o**6/3 + 21*o**5 + 145*o**4/4 + 10*o**3 + 51. Suppose c(t) = 0. What is t?
-3, -2, -1/4, 0
Let t be ((-42)/(-10) + -4)/((-18)/(-135)). Let z(a) be the first derivative of -t*a**2 + 3/4*a**4 + 2/3*a**3 - 2*a - 1. Determine m so that z(m) = 0.
-1, -2/3, 1
Let f(n) = -3*n - 1. Let i be f(-2). Let d be ((-4)/(-10))/(i/125). Find v such that 24*v + 10*v + 4*v**2 - d*v + 36 = 0.
-3
Let s be ((7 - 2) + 10)/((-1)/(-4)). Solve -s*i**3 + 8*i**2 + 32*i**3 + 26*i**3 = 0.
0, 4
Suppose 63*a - 112 = 35*a. Let w(z) be the second derivative of -5/42*z**a - 2/21*z**3 - 6*z - 2/35*z**5 + 0*z**2 + 0 - 1/105*z**6. Factor w(q).
-2*q*(q + 1)**2*(q + 2)/7
Let o(c) be the second derivative of 0 + 125/2*c**2 + 5/12*c**4 + 17*c + 25/3*c**3. Let o(i) = 0. What is i?
-5
Suppose -v + 2*v = 2*w - 10, -3*w = -3*v - 12. Suppose -5*l + 8*l = w. Factor 0 + 3/7*p**3 - 3/7*p + 0*p**l.
3*p*(p - 1)*(p + 1)/7
Suppose 4*k - g + 44 = 0, g + 0*g - 32 = 3*k. Let f = k + 14. Determine a so that -1/6*a**3 - 1/2*a + 1/2*a**f + 1/6 = 0.
1
Let d be (-36*1)/(2 + 21/(-6)). Let z = d - 21. Factor 1/4 - 1/4*u**2 + 1/4*u**z - 1/4*u.
(u - 1)**2*(u + 1)/4
Let l = 7 - -4. Solve 9 + 6 + l*b**2 - 6*b**2 + 20*b + 0 = 0.
-3, -1
Solve -15*o + 11*o**2 + 17*o**3 + 14*o**2 + 3*o**3 + 5*o + 5*o**4 + 20*o = 0.
-2, -1, 0
Suppose -170 = -6*a + 592. Suppose 5*y**3 - 127*y + a*y = 0. What is y?
0
Let -69*y**2 - 4*y**3 + 18*y**3 + y**5 + 106*y**2 + 19*y**3 + 11*y**4 + 14*y = 0. Calculate y.
-7, -2, -1, 0
Suppose -2*n - 2*n = -20. Suppose n*w = w + 8. Solve 3*f**3 + 3*f - 2*f - w*f + 7*f - 9*f**2 = 0.
0, 1, 2
Let k be (0 - -4)/((-8)/(-8)). Let z be ((-1)/k - -1)/((-540)/(-2560)). Determine i, given that -z*i**4 + 28/9*i**2 + 14/9*i**5 + 4/9 + 8/9*i**3 - 22/9*i = 0.
-1, 2/7, 1
Let w be (-20)/6*144/(-60). Factor b**2 - 2*b + 2*b**3 + w*b**2 - 4 - 5*b**2.
2*(b - 1)*(b + 1)*(b + 2)
Let a(j) be the first derivative of 2/55*j**5 - 2/33*j**3 + 0*j - 10 + 1/11*j**2 - 1/22*j**4. Suppose a(t) = 0. What is t?
-1, 0, 1
Let d = 545/12 - 167/12. Let h = d - 31. Factor -x - h*x**2 + 0.
-x*(x + 2)/2
Let c(f) be the first derivative of -4*f**3/15 + 88*f**2/5 - 1936*f/5 + 58. Let c(z) = 0. What is z?
22
What is k in 0 - 2/3*k**5 + 22/3*k**3 + 4*k**2 + 8/3*k**4 + 0*k = 0?
-1, 0, 6
Suppose 3*i = 2*x, 10*i - 5*x = 9*i - 13. Let u(q) be the second derivative of 1/6*q**4 - 1/10*q**5 + 0*q**i - 6*q + 0 + 0*q**3. Let u(p) = 0. What is p?
0, 1
Let c(t) = 3*t + 17. Let i be c(-5). Let h(a) be the first derivative of -10 - a**3 + 5*a**2 + 4*a**2 + 14 - 3*a**i. Factor h(g).
-3*g*(g - 4)
Let w = 1201 + -1198. Let d(r) be the third derivative of 0*r**4 + 4*r**2 - 1/90*r**5 + 1/9*r**w + 0*r + 0. Factor d(j).
-2*(j - 1)*(j + 1)/3
Let s(a) be the first derivative of -2*a**5/45 + 14*