)**2
Let a(d) be the second derivative of 0*d**2 + 26*d - 5/4*d**4 + 0 - 5/6*d**3. Factor a(h).
-5*h*(3*h + 1)
Let h(b) be the first derivative of -b**6/33 - 12*b**5/55 + 12*b**4/11 + 160*b**3/33 - 336*b**2/11 + 576*b/11 - 96. Factor h(j).
-2*(j - 2)**3*(j + 6)**2/11
Let f = 10387/3 - 3462. Factor -f*n**2 - 5/6*n**3 + 0*n + 0 - 1/2*n**4.
-n**2*(n + 1)*(3*n + 2)/6
Let j be 3/(-7) + (4433/217 - 18). Let g be ((-8)/(-28))/(36/21). Factor -1/6*r**5 - 1/3*r**j - 1/6*r + 1/3*r**3 + 1/6 + g*r**4.
-(r - 1)**3*(r + 1)**2/6
Let r(b) be the second derivative of 2*b - 1/210*b**6 - 13/84*b**4 - 2/7*b**3 - 3/70*b**5 + 0 - 2/7*b**2. Factor r(y).
-(y + 1)**2*(y + 2)**2/7
Let h(r) = r**2 + 11*r - 18. Let y(b) = -2*b - 1. Let v(n) = -h(n) + 2*y(n). Let v(q) = 0. Calculate q.
-16, 1
What is z in 27/4*z**2 + 18 + 51/2*z - 3/4*z**3 = 0?
-2, -1, 12
Let u(m) = 3*m**4 + 17*m**3 + 14*m**2. Let r(v) = -v**4 - 6*v**3 - 5*v**2. Let a be ((-4)/(-1))/((-8)/(-16)). Let k(h) = a*r(h) + 3*u(h). Factor k(s).
s**2*(s + 1)*(s + 2)
Let j = 1159/6 - 385/2. Factor j - 1/3*k**2 + 1/3*k.
-(k - 2)*(k + 1)/3
Let q(u) be the first derivative of u**7/168 - u**6/72 + 23*u**3/3 - 4. Let x(f) be the third derivative of q(f). Find d such that x(d) = 0.
0, 1
Let n(x) be the second derivative of x**6/90 - x**5/10 + x**4/3 - 4*x**3/9 - 17*x - 1. Solve n(m) = 0 for m.
0, 2
Let l(x) = -2*x**3 + 10*x**2 - x + 7. Let u be l(5). Factor -5*t**4 - 21 + 21 - u*t**3.
-t**3*(5*t + 2)
Let i be (-4)/(-2) + 2162/69. Let t = i - 33. Suppose -1/3 + 1/3*f + t*f**2 - 1/3*f**3 = 0. Calculate f.
-1, 1
Let k(f) be the first derivative of -f**6/21 - 12*f**5/35 + 12*f**4/7 - 52*f**3/21 + 9*f**2/7 - 184. Factor k(q).
-2*q*(q - 1)**3*(q + 9)/7
Let s(r) be the second derivative of 6*r + 0 - 15*r**2 + 25/6*r**3 - 5/12*r**4. Factor s(b).
-5*(b - 3)*(b - 2)
Solve 70759 + 5417 + 75072*c - 2*c**3 + 6*c**3 + 0*c**3 - 991*c**2 - 109*c**2 = 0.
-1, 138
Let z = 872/21 + -3268/105. Factor -2/5*w**2 + z*w - 338/5.
-2*(w - 13)**2/5
Factor -7/3*v**2 + 0*v**3 + 2*v + 1/3*v**4 + 0.
v*(v - 2)*(v - 1)*(v + 3)/3
Suppose 2*k = 4*k - 10*k. Let w(y) be the second derivative of 0*y**4 + 1/30*y**6 + k*y**3 + 0*y**2 + 0 + 1/126*y**7 - 10*y + 1/30*y**5. Factor w(v).
v**3*(v + 1)*(v + 2)/3
Let j(f) be the first derivative of 0*f**4 + 4/15*f**5 + 0*f - 4/3*f**3 + 4/3*f**2 + 8. Suppose j(t) = 0. What is t?
-2, 0, 1
Let t be -4*7*((-9)/4 + 2). Let d(m) be the second derivative of 0 + 1/60*m**5 + 0*m**4 + 1/90*m**6 + 0*m**3 + t*m + 0*m**2. Solve d(a) = 0.
-1, 0
Find m such that 0 + 0*m**2 - 16/5*m + 1/5*m**3 = 0.
-4, 0, 4
Factor 30*c + 2/5*c**2 + 148/5.
2*(c + 1)*(c + 74)/5
Let t(d) be the third derivative of d**8/35280 - 2*d**7/2205 - d**6/140 + 13*d**5/30 + 22*d**2. Let o(r) be the third derivative of t(r). Factor o(y).
4*(y - 9)*(y + 1)/7
Let c be (-1)/6 + 99/66. Let p(g) be the third derivative of -1/120*g**5 + 2*g**2 + 1/6*g**4 + 0 - c*g**3 + 0*g. Factor p(s).
-(s - 4)**2/2
Let i(z) = z - 6. Let m be i(8). Suppose 2*n = -m*n. Solve 2*j**3 - j - j + n*j = 0.
-1, 0, 1
Suppose 0 = 7*q - 0 - 14. Let f = 33/7 - 59/14. Suppose i**q + 0 - f*i = 0. Calculate i.
0, 1/2
Determine k, given that -4/7*k**2 + 8/7 + 4/7*k = 0.
-1, 2
Let w(n) = -4*n**2 - 3*n + 6. Let h(z) = -3*z**2 - 3*z + 7. Let t(s) = -3*h(s) + 2*w(s). Let v be t(-5). Factor -v + 8*g**2 - 9 - 3*g**2 + 5*g.
5*(g - 1)*(g + 2)
Suppose -y = -684 - 76. Solve y*p**4 + 100*p - 245*p**5 + 712*p**2 - 276*p - 1752*p**3 + 16 + 472*p**3 + 213*p**4 = 0.
2/7, 2/5, 1, 2
Factor 4/17 + 2/17*l**2 + 6/17*l.
2*(l + 1)*(l + 2)/17
Let a(r) be the second derivative of -r**6/10 + 3*r**5/4 - 5*r**4/4 - 5*r**3/2 + 9*r**2 + 2*r + 32. Determine d so that a(d) = 0.
-1, 1, 2, 3
Let k = 2/321 + 1274/1605. Let d(f) be the first derivative of k*f**5 - 8 - 2*f**4 + 4*f - 8/3*f**3 + 2*f**2 + 2/3*f**6. Suppose d(p) = 0. Calculate p.
-1, 1
Let c = -16 + 13. Let n be (-3 - -3)*3/c. Factor 3*p**2 + n*p**2 - 5*p**2 + 8*p - 8.
-2*(p - 2)**2
Let l(b) be the first derivative of -5*b**3/27 + 7*b**2/6 - 4*b/9 - 72. Determine z so that l(z) = 0.
1/5, 4
Suppose -3 = -3*h + 3. Suppose 5*z = h*z. Factor -49*n**3 - 2*n**2 + z*n + 56*n**4 + 0*n + 9*n**3 + 4*n.
2*n*(2*n - 1)**2*(7*n + 2)
Let j(h) be the first derivative of 14/33*h**3 - 1/22*h**4 + 10/11*h - 1 - h**2. Factor j(z).
-2*(z - 5)*(z - 1)**2/11
Suppose 2*f + j = f - 3, 2*j = 5*f - 6. Let z(p) = -p**2 - p + 2. Let s be z(f). Let 6 + 5 + 3*k**2 - 10 - 4*k**s = 0. What is k?
-1, 1
Factor -4 - 8 - 3*z**3 + 75*z**3 - 79*z - 4 - 92*z**2 - 17*z.
4*(z - 2)*(2*z + 1)*(9*z + 2)
Suppose 0 + 5*b**2 - 1/2*b**4 + 0*b - 9/2*b**3 = 0. Calculate b.
-10, 0, 1
Let m(y) be the third derivative of -1/945*y**7 + 0*y**3 + 0*y**6 + 0*y**4 + 0 + 0*y + 3*y**2 + 1/270*y**5. Determine c, given that m(c) = 0.
-1, 0, 1
Let b(m) be the second derivative of 0 - 1/54*m**4 - 1/27*m**3 + 0*m**2 - 3*m. Find d, given that b(d) = 0.
-1, 0
Let c(y) be the first derivative of 0*y**2 + 0*y**3 + 0*y - 1/6*y**4 + 2/15*y**5 - 1. Solve c(a) = 0 for a.
0, 1
Let m be 0/2 + -21 + (-567)/(-27). Suppose 4/3*b - 6*b**2 + 14/3*b**3 + m = 0. What is b?
0, 2/7, 1
Let c(d) be the third derivative of -d**8/168 - 2*d**7/35 - 3*d**6/20 + 778*d**2. Determine p, given that c(p) = 0.
-3, 0
Let t = 12523/49520 + -25/619. Let q = t + 3/16. Factor -6/5*s**4 + 4/5*s**5 + 0 + 0*s**2 + 0*s + q*s**3.
2*s**3*(s - 1)*(2*s - 1)/5
Let s(j) be the first derivative of -27*j**5/10 - 183*j**4/8 + 52*j**3 + 93*j**2 - 48*j + 391. Determine r, given that s(r) = 0.
-8, -1, 2/9, 2
Factor 19 - 106 + 131*i - 68*i - 74*i + i**2 + 7.
(i - 16)*(i + 5)
Let j(w) be the first derivative of -56*w**5/75 + 23*w**4/6 - 38*w**3/9 + w**2/3 + 2*w/5 - 346. Suppose j(s) = 0. What is s?
-1/7, 1/4, 1, 3
Let n(f) = -f + 9. Let u be n(12). Let z be (2 - 98/80) + u/8. Factor z*y + 0*y**2 - 2/5*y**3 + 1/5*y**4 - 1/5.
(y - 1)**3*(y + 1)/5
Suppose -5*k + 25 = 5*m, -2*m = k - 34 + 29. Find z, given that 2/15*z**3 + m*z**2 + 0 + 4/15*z**4 + 0*z + 2/15*z**5 = 0.
-1, 0
Let k(f) = f**2 - f + 1. Let n(j) = j - 4*j - 8*j**2 - 6 + 7*j + 2*j. Let p(t) = 6*k(t) + n(t). Factor p(w).
-2*w**2
Suppose 0 = 3*z + 2*c - 2, 4*z - 477*c + 474*c = 14. Suppose 6/13*u + 2/13*u**z + 4/13 = 0. What is u?
-2, -1
Let b = -5/27 - -91/54. Factor 3/2*m**3 + 0*m**2 - b*m + 0.
3*m*(m - 1)*(m + 1)/2
Let -56*m**3 + 137*m**3 - 56*m**4 + 79*m**3 + 4*m**5 - 192*m**2 + 12*m**4 = 0. What is m?
0, 3, 4
Solve -68*z**3 - 6*z**3 - 33 + 33*z**2 - 3*z + 77*z**3 = 0.
-11, -1, 1
Suppose -52 - 23 = -3*s. Factor 45*m**2 + 49 + 4*m**4 - 39 + m**4 + 35*m + s*m**3.
5*(m + 1)**3*(m + 2)
Let o(y) be the third derivative of -y**5/40 + 31*y**4/8 - 961*y**3/4 - 3*y**2 + 9*y. Let o(h) = 0. What is h?
31
Let t be -5 + 306/270 + (-1 - -5). Let d(l) be the first derivative of 1/6*l**4 + 1/36*l**6 - t*l**5 - 6 - 5/12*l**2 + 1/9*l**3 + 1/3*l. Factor d(b).
(b - 2)*(b - 1)**3*(b + 1)/6
Let b(n) be the first derivative of -n**6/30 + n**5/20 + n**4/4 - n**3/6 - n**2 - 3*n - 1. Let z(w) be the first derivative of b(w). Let z(a) = 0. What is a?
-1, 1, 2
Let q(i) be the first derivative of i**6/3 + 8*i**5/5 + 3*i**4/2 + 28. Factor q(c).
2*c**3*(c + 1)*(c + 3)
Let t be (160/280)/(1 - (-10)/(-7)). Let l = -2/3 - t. Find c, given that 0 + 2/3*c**4 - 2/3*c**2 - 2/3*c**3 + l*c = 0.
-1, 0, 1
Let p(n) be the third derivative of n**6/36 - n**5/270 - 5*n**4/9 + 4*n**3/27 - 595*n**2. Factor p(g).
2*(g - 2)*(g + 2)*(15*g - 1)/9
Let g(c) be the second derivative of 16*c + 0*c**4 + 0 + 2/15*c**6 - 2/5*c**5 + 4/3*c**3 - 2*c**2. Let g(u) = 0. What is u?
-1, 1
Let c(t) be the first derivative of -3*t**5/5 + 3*t**4 + 18*t**3 + 30*t**2 + 21*t + 759. Factor c(b).
-3*(b - 7)*(b + 1)**3
Let d(o) be the third derivative of -o**8/84 - 16*o**7/105 - o**6/5 + 8*o**5/3 - 25*o**4/6 - 41*o**2 - 2. Determine g, given that d(g) = 0.
-5, 0, 1
Let -1/2*u**3 - 11/2*u**2 - 14 - 16*u = 0. What is u?
-7, -2
Let y(a) be the third derivative of -a**5/20 + 13*a**4/24 + 5*a**3/3 + 3*a**2 + 24. Factor y(s).
-(s - 5)*(3*s + 2)
Let d(c) be the second derivative of 1/30*c**5 + 7/9*c**3 - 14*c - c**2 + 0 - 5/18*c**4. Determine n so that d(n) = 0.
1, 3
Let v be ((-486)/45)/((-2)/5). Let u = -14 + v. Factor 4*l**3 - 6*l + u*l - 4*l**2 - 7*l.
4*l**2*(l - 1)
Determine u, given that -4/3*u**3 - 1/2