2
Let m be ((-960)/(-36))/5 - 0. Solve m*l**2 + 32/3*l + 0 + 2/3*l**3 = 0.
-4, 0
Let x(a) be the second derivative of a**7/21 + 3*a**6/5 + 11*a**5/10 - 25*a**4/6 - 8*a**3 + 28*a**2 - 3*a + 1. Solve x(y) = 0.
-7, -2, 1
Let y(b) be the third derivative of -5*b**8/504 + 13*b**7/210 + 17*b**6/180 - 137*b**5/180 + 11*b**4/12 + 4*b**3/9 + 51*b**2 + 2. Suppose y(o) = 0. Calculate o.
-2, -1/10, 1, 4
Let u be (-46922)/48664 + (-4 - 84/(-22)). Let g = -1/316 - u. Suppose 8/7*b - g - 2/7*b**2 = 0. Calculate b.
2
Let s(b) = 11*b**2 - 154*b + 5. Let v be s(14). Factor 20*n**4 - 50/7*n**v - 8/7*n - 138/7*n**3 + 0 + 8*n**2.
-2*n*(n - 1)**2*(5*n - 2)**2/7
Suppose -33 = -7*b + 9. Let d be ((-15)/10)/((-63)/b). Factor -d*n**2 - 8/7*n - 16/7.
-(n + 4)**2/7
Let o(z) be the first derivative of 7/12*z**4 - z**3 - 4 - 2*z**2 + 4/3*z. Suppose o(j) = 0. Calculate j.
-1, 2/7, 2
Suppose -14*m - 3*m**2 + 3012 + 5*m - 3018 = 0. What is m?
-2, -1
Suppose 31 - 61 = -15*x. Let -1/6*a - 1 + 1/6*a**x = 0. Calculate a.
-2, 3
Let k be 0/4*26/(-52). Factor 8/3*h**3 + 0 + k*h + 4*h**4 + 0*h**2 + 4/3*h**5.
4*h**3*(h + 1)*(h + 2)/3
Let d = 4 + -9. Let k(f) = -5*f**3 + 75*f**2 - 150*f + 85. Let c(w) = 8*w**3 - 112*w**2 + 225*w - 128. Let j(g) = d*c(g) - 7*k(g). Find r, given that j(r) = 0.
1, 3
Determine a so that 12 + 39/2*a + 3/4*a**3 + 33/4*a**2 = 0.
-8, -2, -1
Let k(j) be the first derivative of 3*j**4/8 - 14*j**3/3 + 7*j**2/4 + 9*j - 357. Factor k(a).
(a - 9)*(a - 1)*(3*a + 2)/2
Let l = -73 - -97. Let n = 122/5 - l. Factor -n*h + 1/5*h**2 + 1/5.
(h - 1)**2/5
Let m(c) be the second derivative of c**5/5 - 8*c**4/3 - 8*c**3/3 + 64*c**2 + 334*c. Factor m(y).
4*(y - 8)*(y - 2)*(y + 2)
Suppose -4*o + 300 = -2*o. Suppose -2*l + o = l. Suppose -3*a - 3*a**3 + 12*a**2 - l*a**4 + 7*a - 6*a**3 - 6*a**3 = 0. What is a?
-2/5, 0, 1/2
Let q(h) be the second derivative of 3*h**7/49 - 16*h**6/105 + h**5/14 + h**4/21 - 97*h. Factor q(a).
2*a**2*(a - 1)**2*(9*a + 2)/7
Let o(h) = 5*h**3 + 30*h**2 + 15*h - 5. Let v(u) = u**2 + u + 1. Let b(s) = o(s) - 15*v(s). Solve b(w) = 0 for w.
-2, 1
Find q such that -2/5*q**2 + 0*q + 2/5 = 0.
-1, 1
Let h be (-875)/(-75)*(-6)/(-75). Let y = -439 + 6593/15. Factor -h*d**3 - y*d + 0 + 32/15*d**2.
-2*d*(d - 2)*(7*d - 2)/15
Let n(i) be the third derivative of i**9/4320 + i**8/840 + i**7/840 - i**6/180 - 2*i**5/5 + 15*i**2. Let u(f) be the third derivative of n(f). Factor u(r).
2*(r + 1)**2*(7*r - 2)
Let d(m) be the third derivative of -1/20*m**5 + 0*m**3 + 0*m + 1/4*m**4 + 0 + 22*m**2. Suppose d(c) = 0. Calculate c.
0, 2
Find t such that 42*t - t**2 - 54*t + 5*t**2 = 0.
0, 3
Let m be 3/2*(-1034)/(-33). Suppose -15*u - 53*u**3 + 6*u - 15*u**2 + m*u**3 = 0. Calculate u.
-3/2, -1, 0
Suppose 0 = 6*d - d - 3*t - 400, -3*t - 320 = -4*d. Factor 45*x + 7 + 4 - 1 + 30*x**4 - 24*x**3 + d*x**2 + 5*x**5 + 94*x**3.
5*(x + 1)**4*(x + 2)
Suppose -23 = 31*x - 36*x - w, -5*w = -4*x + 1. Find p, given that -279/4*p**x + 81/4*p**5 + 28*p**3 + 78*p**2 + 4 - 36*p = 0.
-1, 2/9, 2
Suppose -2*n = -n - 1. Let c be n + (-16)/(-48)*(-6)/8. Suppose -1/4*g**3 - 3/4*g**4 + 1/2*g - 1/4*g**5 + 0 + c*g**2 = 0. What is g?
-2, -1, 0, 1
Let t(f) be the second derivative of 5*f**4/12 - 15*f**3/2 - 90*f**2 - 303*f. Factor t(a).
5*(a - 12)*(a + 3)
Let g(d) be the first derivative of -d**5/570 + d**4/57 - 6*d**2 + 13. Let o(c) be the second derivative of g(c). Solve o(s) = 0.
0, 4
Let j(b) be the second derivative of -b**6/30 - b**5/20 + 7*b**4/12 + 13*b**3/6 + 3*b**2 + 36*b - 2. Factor j(p).
-(p - 3)*(p + 1)**2*(p + 2)
Let a(c) be the third derivative of c**6/120 + 5*c**5/18 - 17*c**4/72 - 21*c**2 - 2. Find v such that a(v) = 0.
-17, 0, 1/3
Let u(h) be the third derivative of h**5/60 - h**3/2 + 4*h**2. Let t = 52 + -51. Let l(c) = -c**2. Let a(k) = t*u(k) - 2*l(k). Suppose a(g) = 0. Calculate g.
-1, 1
Let f(z) = -z**5 + z**4 + z**3 + z. Let l(b) = b + 1. Let n(r) = 2 - 2 + 3*r + 6 - 3*r**2. Let x(w) = 6*l(w) - n(w). Let o(a) = 3*f(a) - x(a). Factor o(q).
-3*q**2*(q - 1)**2*(q + 1)
Let r(j) = 6*j**4 + 1. Let k(u) = 68*u**4 - 5*u**3 - 8*u**2 + 17*u + 5. Let i(n) = 4*k(n) - 44*r(n). Determine o, given that i(o) = 0.
-2, 1/2, 1, 3
Let j(m) = -5*m**2 - 6*m + 5. Let o be ((-6)/18 - -1)/((-1)/(-9)). Let h(l) = 70*l**2 + 85*l - 70. Let y(u) = o*h(u) + 85*j(u). Solve y(a) = 0 for a.
-1, 1
Suppose -3*v + 4*h = -578, -4*v + 4*h = -1168 + 404. Determine x, given that v - 91 - 8*x - 26*x**2 - 87 - 10*x**3 = 0.
-2, -1, 2/5
Let q(w) be the third derivative of 0*w + 10/21*w**4 - 12*w**2 + 0 - 8/21*w**3 - 5/21*w**5. Find j such that q(j) = 0.
2/5
Find r such that -4/9*r**2 + 2/9*r**3 + 0*r + 0 = 0.
0, 2
Factor 9/2*m**2 + 9*m**3 + 3/2*m**4 - 15*m + 0.
3*m*(m - 1)*(m + 2)*(m + 5)/2
Let y = -36/29 - -375/232. Let r(b) be the first derivative of 3/16*b**4 - y*b**2 + 3/2*b + 12 - 1/2*b**3. Factor r(v).
3*(v - 2)*(v - 1)*(v + 1)/4
Let r = 16 + -14. Factor 0 + 1/3*q + 1/3*q**r.
q*(q + 1)/3
Let p = 702005/133716 + 1/33429. Solve -21/2*z**3 - p*z**4 + 0*z - 9/4*z**2 + 0 + 3*z**5 = 0 for z.
-1, -1/4, 0, 3
Let c(g) be the third derivative of g**8/20160 - g**7/12600 - 11*g**5/30 + 2*g**2. Let z(b) be the third derivative of c(b). Determine w so that z(w) = 0.
0, 2/5
Let o(g) be the third derivative of -g**5/510 - g**4/17 + 13*g**3/51 + 143*g**2. Factor o(n).
-2*(n - 1)*(n + 13)/17
Let x(j) be the third derivative of -5*j**8/504 + j**7/105 + j**6/90 - 116*j**2. Find c such that x(c) = 0.
-2/5, 0, 1
Let x(u) = -5*u**2 + 10*u. Let c(h) = -8*h**2 + 18*h + 1. Let y(l) = -3*c(l) + 5*x(l). Determine b, given that y(b) = 0.
-3, -1
Suppose 4*n - 5*v + 25 = n, -10 = -2*v. Suppose n = 10*k - 23 + 3. Find r, given that -3/8 - 1/8*r + 3/8*r**k + 1/8*r**3 = 0.
-3, -1, 1
Let n(p) = -p**2 - 21*p - 36. Let u be n(-19). Factor 3*k**u - 5*k - 9*k - 7*k.
3*k*(k - 7)
Let w(k) be the second derivative of -193/3*k**4 + 26/5*k**5 - 288*k**2 - 2/15*k**6 - 3 - 13*k + 208*k**3. Find p such that w(p) = 0.
1, 12
Let f(y) be the second derivative of y**5/10 - y**4/3 - 7*y**3/3 - 4*y**2 + 366*y. Determine k so that f(k) = 0.
-1, 4
Let n(f) be the second derivative of -1/21*f**3 + 0 + 5*f - 1/105*f**6 + 1/42*f**4 + 0*f**2 + 1/70*f**5. Let n(b) = 0. What is b?
-1, 0, 1
Factor -16/7*f + 0 - 2/7*f**3 + 12/7*f**2.
-2*f*(f - 4)*(f - 2)/7
Suppose x = -5, 0*x + 110 = 3*y + 5*x. Let m be 1/(-7) + y/35. Determine l so that 2/7*l**2 - m*l + 8/7 = 0.
2
Let b(a) be the first derivative of -1/6*a**4 - 2/9*a**3 + 0*a**2 + 0*a + 3. Factor b(o).
-2*o**2*(o + 1)/3
Let p = 197/212 + -36/53. Let r(t) be the first derivative of 0*t - 1/3*t**5 + 1 + 0*t**2 - p*t**4 + 2/9*t**3. Factor r(i).
-i**2*(i + 1)*(5*i - 2)/3
Let a(p) be the first derivative of -2*p**3/39 + 11*p**2/13 + 24*p/13 + 104. What is r in a(r) = 0?
-1, 12
Determine c so that -6*c - 51/7*c**2 + 9/7 = 0.
-1, 3/17
Let c(h) = -h**3 - 7*h**2 - 5*h + 9. Let b be c(-6). Factor 45*o**2 + 2*o**3 + 55 + 2*o**b + 75*o + o**3 - 20.
5*(o + 1)**2*(o + 7)
Let n be 650/91 + -3*6/3. Find p, given that 24/7*p**4 + 2*p**5 - 4*p**2 - 6/7*p + 4/7 - n*p**3 = 0.
-1, 2/7, 1
Let b = -328/5 + 3618/55. Suppose -b*c**2 - 2/11*c + 12/11 = 0. What is c?
-3, 2
Let k(x) = -x**2 - 24*x - 20. Let h be k(-23). Let 10*v**3 + 8 - 2*v**4 - 2*v**h + 2*v - 6*v**2 - 10*v = 0. What is v?
-1, 1, 2
Let f(a) be the second derivative of -a**7/252 + a**6/45 + a**5/15 - 8*a**4/9 + 28*a**3/9 - 16*a**2/3 - 149*a. Factor f(n).
-(n - 2)**4*(n + 4)/6
Let c(b) be the third derivative of -b**6/1320 - b**5/660 + b**4/66 + 2*b**3/33 + 5*b**2 + 6*b. Suppose c(m) = 0. What is m?
-2, -1, 2
Let w = 9 - 9. Suppose r + r - 12 = w. Factor -r*o + 3*o + 4*o**2 - 3*o**3 - 10*o**2.
-3*o*(o + 1)**2
Factor 2/5*s**2 + 48/5 + 22/5*s.
2*(s + 3)*(s + 8)/5
Let y = -404 - -410. Let u(d) be the first derivative of -12/5*d - 9/5*d**3 - y - 18/5*d**2. Factor u(o).
-3*(3*o + 2)**2/5
Factor 0 + 10/7*i**2 + 0*i - 8/7*i**3 - 2/7*i**4.
-2*i**2*(i - 1)*(i + 5)/7
Let 0 + 0*b + 2/17*b**3 + 2/17*b**4 - 4/17*b**2 = 0. Calculate b.
-2, 0, 1
Let i be (-16)/(-9) - (10 + 6 + 730/(-45)). Determine k so that -20*k + 0 + 90*k**i - 75*k**3 - 125/2*k**4 = 0.
-2, 0, 2/5
Let g(h) be the second derivative of -49*h**6/180 + 91*h**5/5 - 3119*h**4/9 + 1144*h**3/3 - 484*h**2/3 - 3*h + 41. Determine b, given that g(b) 