2*j - 1/2.
-(j - 1)*(3*j - 1)/2
Let i be ((-2)/(-3))/(2/3). Let g = -287 - -291. Let 6*f**g - 4*f**4 - f**4 + i - 2*f**2 = 0. What is f?
-1, 1
Suppose -134*u + 723 = -33*u + 140*u. Find n, given that 30/23*n**4 - 32/23*n**u + 6/23*n**2 - 8/23*n**5 + 0 + 4/23*n = 0.
-1/4, 0, 1, 2
Let o(a) be the first derivative of 29 + 7*a**2 - 16/3*a - 5/9*a**3. Find w such that o(w) = 0.
2/5, 8
Let m(h) = 8*h + 9*h**2 + 4*h**2 - 5*h**2 + 4*h**2. Let o(k) = k**3. Let s(g) = -m(g) - 4*o(g). Factor s(w).
-4*w*(w + 1)*(w + 2)
Suppose q + 2 = 3*x, -4*q - 8 = -4*x - x. Let p = 75/58 + -23/29. Let -1/8*h**2 + 0 + x*h - p*h**4 + 1/2*h**3 = 0. Calculate h.
0, 1/2
Let u(h) = -22*h**2 + 121*h - 77. Let m(j) = 68 - 25*j - 18 - 157*j + 34*j**2 + 66. Let b(q) = -5*m(q) - 8*u(q). Factor b(x).
2*(x - 9)*(3*x - 2)
Let z(g) = -5*g**4 - g**2 + g + 1. Let b(p) = 14*p**4 - 3*p**3 + 6*p**2 + 4*p - 9. Let u(c) = b(c) + 3*z(c). Determine v so that u(v) = 0.
-3, -2, 1
Let j(q) be the first derivative of q**5/20 + 15*q**4 + 1800*q**3 + 108000*q**2 + 3240000*q + 664. Suppose j(s) = 0. Calculate s.
-60
Let x(n) be the third derivative of -5*n**8/3024 + 64*n**7/945 - 3*n**6/5 - 112*n**5/27 - 98*n**4/27 - 103*n**2. Determine t so that x(t) = 0.
-2, -2/5, 0, 14
Let q = -3 - -5. Let a(c) = 2*c**2 + 6*c**2 - 8 - 6*c**2 - 5*c + 5*c**q. Let r(i) = 15*i**2 - 11*i - 17. Let y(j) = 13*a(j) - 6*r(j). Factor y(l).
(l - 1)*(l + 2)
Let o(z) be the second derivative of -1/27*z**3 + 1/90*z**5 + 1/18*z**4 + 0 - 1/3*z**2 + z. Determine u, given that o(u) = 0.
-3, -1, 1
Let p(t) = -t**2 - 3*t - 3. Let s(y) = -4*y**2 - 12*y - 11. Let k(u) = 22*p(u) - 6*s(u). Factor k(m).
2*m*(m + 3)
Factor -55/3*h**3 + 160/3 + 70*h**2 - 320/3*h + 5/3*h**4.
5*(h - 4)**2*(h - 2)*(h - 1)/3
Suppose 57*d = 64*d. Let i(c) be the second derivative of 0*c**3 + 0*c**4 + c + 0 - 3/10*c**6 + d*c**2 - 1/14*c**7 - 3/10*c**5. Factor i(a).
-3*a**3*(a + 1)*(a + 2)
Let j be (-1 + 0)/((8/(-30))/4). Suppose -j = -0*n - 5*n - 3*d, 4*n + 5 = d. Let 0 - 2/3*v**3 + 1/3*v**2 + 1/3*v**4 + n*v = 0. What is v?
0, 1
Let n(h) be the second derivative of -5/3*h**4 + 4/3*h**3 + 0 - h + 2/3*h**6 - 2/5*h**5 + 0*h**2. What is d in n(d) = 0?
-1, 0, 2/5, 1
Suppose -4*t - 67 + 75 = 0. Let j be t/(-8)*(42 + -42). What is k in 2/7*k**5 + 2/7*k + 0 - 4/7*k**3 + 0*k**2 + j*k**4 = 0?
-1, 0, 1
Let d(f) = 9*f**5 - 15*f**4 - 11*f**3 + 17*f**2 + 4*f + 6. Let p(t) = -t**2 - t - 1. Let r(x) = -d(x) - 6*p(x). Suppose r(n) = 0. Calculate n.
-1, 0, 1/3, 2
Let x(j) be the third derivative of -j**6/40 + j**5/4 - j**4 + 2*j**3 - 153*j**2. Factor x(m).
-3*(m - 2)**2*(m - 1)
Suppose 18*k + 12 = -2*c + 22*k, 4*c - 3*k = 1. Solve 40/3*r + 26*r**2 + 2*r**5 + 34/3*r**c + 74/3*r**3 + 8/3 = 0 for r.
-2, -1, -2/3
Let c(o) be the second derivative of -69/10*o**6 + 65/4*o**4 + 6*o**2 + 27/14*o**7 + 26*o + 0 - 37/4*o**5 + 52/3*o**3. What is m in c(m) = 0?
-1, -2/9, 1, 3
Let b = 1815 - 1815. Solve 4/3 - 1/3*y**2 + b*y = 0.
-2, 2
Let j(v) be the first derivative of 3*v**5/25 - 33*v**4/10 + 141*v**3/5 - 66*v**2 + 60*v - 187. Suppose j(d) = 0. Calculate d.
1, 10
Let s = 51276/5 + -10255. Find j, given that s*j**4 - 2/5*j**3 + 0*j + 0 + 1/5*j**2 = 0.
0, 1
Let z = -361/2 - -188. Let w = z - 6. Factor 0*b - 3/2*b**4 + w*b**5 + 0*b**3 + 0*b**2 + 0.
3*b**4*(b - 1)/2
Let k(v) be the first derivative of 2 + v**4 + 0*v - 2/3*v**3 + 0*v**2 - 2/5*v**5. Solve k(z) = 0.
0, 1
Let h = 0 - -2. Factor -d - 5*d**2 + 2*d**h + 4*d.
-3*d*(d - 1)
Let z(r) = -19*r**3 + 3*r**2 - 4. Let b(h) = h**3 - 2*h**2 + 1. Let w(v) = -4*b(v) - z(v). Factor w(s).
5*s**2*(3*s + 1)
Determine j, given that -10/7*j - 12/7*j**3 + 3*j**2 + 0 + 1/7*j**4 = 0.
0, 1, 10
Factor -19/3*n**2 - 2/3*n**3 - 25/3*n - 8/3.
-(n + 1)*(n + 8)*(2*n + 1)/3
Let h(t) = -63*t**2 + 216*t - 180. Let m(l) = 13*l**2 - 44*l + 36. Let v(w) = 5*h(w) + 24*m(w). Suppose v(s) = 0. Calculate s.
2, 6
Let d be (1 - -5)*(-12)/(-8). Solve 11*a**2 - d - 3*a**2 + 41*a - 8*a + 4*a**2 = 0.
-3, 1/4
Let w = 2050/1533 - 2/511. Find y, given that -4/3*y + 0*y**2 - 2/3*y**4 + 2/3 + w*y**3 = 0.
-1, 1
Let h be -2 + (-1)/(24/(-150)). Let a be (-22)/(-44) + (-1)/((-2)/9). Let 19/2*z**4 + h*z + 1/2 + 31/2*z**3 + 12*z**2 + 9/4*z**a = 0. Calculate z.
-1, -2/9
Let i(t) = 6*t**2 + 175*t + 155. Let z(w) = -4*w**2 - 117*w - 103. Let y(f) = 5*i(f) + 7*z(f). Determine k, given that y(k) = 0.
-27, -1
Let c(k) = -5*k**2 - 28*k + 143. Let x(s) = 5*s**2 + 29*s - 144. Let p(r) = -6*c(r) - 7*x(r). Solve p(d) = 0.
-10, 3
Solve 3*w - 23*w**4 + 9*w + 46*w**2 + 15*w**3 + 10*w**4 - 8*w**4 + 2*w**2 = 0.
-1, -2/7, 0, 2
Let r(d) be the third derivative of -d**6/180 - 7*d**5/90 - 7*d**4/18 - 8*d**3/9 + 154*d**2. Find n, given that r(n) = 0.
-4, -2, -1
Let k be (-1 + -1)*-2 - 1. Let n(x) be the first derivative of 8 - 1/12*x**4 + 1/9*x**k + 0*x + 0*x**2. Solve n(c) = 0 for c.
0, 1
Let i(x) = -8*x**5 + 4*x**4 - 4*x**3 - 4*x**2 + 6. Let n(h) = h**5 - h**4 + h**3 + h**2 - 1. Let f = 9 - 3. Let a(k) = f*n(k) + i(k). Factor a(o).
-2*o**2*(o - 1)*(o + 1)**2
Let y be -3 - ((-1 - -14) + -1). Let v = -13 - y. Let -128 - 34*z**2 + 2*z**3 + 76*z + 20*z + 10*z**v = 0. Calculate z.
4
Factor -11/2*k**2 + 5/2*k + 0.
-k*(11*k - 5)/2
Let j(n) = 114*n**3 + 3*n + 0*n**2 - 111*n**3 + 2*n**2. Let a(v) = -7*v**3 - 4*v**2 - 7*v. Let b(r) = 2*a(r) + 5*j(r). Factor b(i).
i*(i + 1)**2
Find c such that -65*c**2 + 220*c - 57 - 43 + 111*c**4 - 112*c**4 - 76*c**2 + 22*c**3 = 0.
1, 10
Find f, given that 9*f**3 - 5*f**2 - 9*f**3 + 9*f**2 - 4*f**4 = 0.
-1, 0, 1
Let j = -4038/5 + 28276/35. Factor 16/7*d + j*d**2 + 0.
2*d*(d + 8)/7
Let w(k) be the first derivative of -k**6/360 - k**5/10 - 3*k**4/2 + 17*k**3/3 + 18. Let s(l) be the third derivative of w(l). Factor s(j).
-(j + 6)**2
Let r(f) = f**2 + 66*f - 207. Let w be r(-69). Factor -4/5*l - 2/5*l**3 + 6/5*l**2 + w.
-2*l*(l - 2)*(l - 1)/5
Suppose -342*x + 338*x = 2*z - 4, -5*z - 2 = -2*x. Suppose -4/3*f**2 + 8/3*f + z = 0. What is f?
0, 2
Let c(u) be the first derivative of 3*u**4 + 112*u**3/3 + 102*u**2 + 56*u - 246. Determine i, given that c(i) = 0.
-7, -2, -1/3
Let l(j) = 11*j + 16. Let i be l(8). Let c be (-3)/(-1 + 92/i). Factor 4*q**2 + 6 + 21 - 32*q + c + 11.
4*(q - 4)**2
Factor 121 - 10*c**2 - 1/2*c**3 - 77/2*c.
-(c - 2)*(c + 11)**2/2
Let f(y) be the first derivative of 2/35*y**5 + 10 + 1/7*y**4 - 2/7*y**2 - 2/7*y + 0*y**3. Factor f(g).
2*(g - 1)*(g + 1)**3/7
Let a(r) be the third derivative of -r**7/945 + r**6/180 - r**4/27 + 62*r**2. Suppose a(k) = 0. What is k?
-1, 0, 2
Let r = 219 + -219. Solve -3/5*s**2 + r + 3/5*s = 0.
0, 1
Let b(w) be the first derivative of -54*w - 2/9*w**3 + 15 + 6*w**2. Factor b(x).
-2*(x - 9)**2/3
Let u(t) be the first derivative of t**4/36 - t**3/3 - 35*t**2/9 + 299. Find l such that u(l) = 0.
-5, 0, 14
Let o = 7 - 10. Let s = o + 7. Solve 2*k**3 + 0 + 4*k**2 + s - 4 = 0.
-2, 0
Let w(g) be the third derivative of g**6/24 + g**5/12 - 25*g**4/24 + 5*g**3/2 - 588*g**2. Factor w(o).
5*(o - 1)**2*(o + 3)
Let y be 6/(-4) + (-72)/(-32). Suppose 2*r - g - 1 = 0, g + 2*g + 3 = 0. Factor 0 - 1/2*o**3 + 0*o + r*o**2 + y*o**4.
o**3*(3*o - 2)/4
Let v(k) be the second derivative of -3*k**4/2 + 826*k**3/3 + 184*k**2 - 660*k. Factor v(z).
-2*(z - 92)*(9*z + 2)
Let b(h) be the first derivative of -h**5/45 + 2*h**4/27 + 2*h**3/27 - 4*h**2/9 - 10*h - 17. Let m(p) be the first derivative of b(p). Factor m(o).
-4*(o - 2)*(o - 1)*(o + 1)/9
Let g(w) = 2*w**4 + w**3 + w**2 + 1. Let j(z) = 9*z**4 - 57*z**3 + 237*z**2 + 660*z + 366. Let x(c) = -3*g(c) + j(c). Factor x(i).
3*(i - 11)**2*(i + 1)**2
Suppose 0*i = i - 4*q - 20, -3*q - 6 = 0. Factor -2*m**5 - 2*m**4 + i*m**4 + 8*m**2 - 9*m**3 - 7*m**3.
-2*m**2*(m - 2)**2*(m - 1)
Determine c, given that -21*c - 24*c**4 - 48*c**2 + 16*c**5 - 16*c**5 + 5*c - 52*c**3 - 4*c**5 = 0.
-2, -1, 0
Let l(j) be the third derivative of -j**5/630 + 19*j**4/84 + 58*j**3/63 - 391*j**2. Solve l(p) = 0 for p.
-1, 58
Let d(h) = 55*h - 3135. Let u be d(57). Factor u*n + 5/2*n**3 + 80 - 15*n**2.
5*(n - 4)**2*(n + 2)/2
Let q(m) be the second derivative of m**5/20 + m**4/2 - 5*m**3/2 + 4*m**2 - 78*m - 2. Suppose q(g) = 0. What is g?
-8, 1
Suppose -4*s = -76 - 4. Suppose s*l = 3 + 77. Factor 0 + 0*y**3 + 0*y - 1/4*y**l + 1/4*y**2.
-y**2*(y - 1)*(y + 1