4/(-26))*24. Solve -48/7*f**2 - 64/7*f - 16/7*f**3 - d - 2/7*f**4 = 0.
-2
Let a = -1561 - -1561. Find f such that -2/5*f**3 + 0*f + 0*f**2 + a = 0.
0
Let g(n) be the second derivative of -10*n**4/3 - 25*n**3/6 + 15*n**2/2 + 97*n. Factor g(v).
-5*(v + 1)*(8*v - 3)
Let w(x) be the second derivative of 0 - 12*x + 1/3*x**3 + 0*x**2 - 1/6*x**4 + 1/15*x**6 - 1/10*x**5. Factor w(o).
2*o*(o - 1)**2*(o + 1)
Let i = 137 + -133. Let s(m) be the third derivative of -5*m**2 + 1/600*m**6 + 0*m**3 + 0*m + 0 - 1/120*m**i + 0*m**5. What is a in s(a) = 0?
-1, 0, 1
Factor -46/17 - 2/17*j**2 - 48/17*j.
-2*(j + 1)*(j + 23)/17
Let z = -4362 - -4364. Let -4/5*q**3 + 0 - 8/5*q**z + 4/5*q**4 + 0*q = 0. Calculate q.
-1, 0, 2
Let q(p) be the second derivative of p**7/10080 + p**6/2880 - p**4/12 + 7*p. Let j(s) be the third derivative of q(s). Factor j(l).
l*(l + 1)/4
Factor -84 + 117*a + 5*a**2 - 4*a**2 - 37*a + 3*a**2.
4*(a - 1)*(a + 21)
Factor -7/3*b**2 + 0*b + 0 - 1/3*b**5 - 3*b**4 - 5*b**3.
-b**2*(b + 1)**2*(b + 7)/3
Let j(y) be the second derivative of 2*y**7/105 - 2*y**6/15 + 4*y**5/15 - 43*y**2/2 + 30*y. Let g(b) be the first derivative of j(b). Let g(n) = 0. Calculate n.
0, 2
Suppose 2*j = -2*l + 14, -l - 14 = 2*l - 4*j. Let b(w) be the second derivative of -2*w + 3/8*w**l + 0 + 1/16*w**4 - 1/4*w**3. Determine r, given that b(r) = 0.
1
Suppose 10*p - 40 = 6*p. Let o be 3/p*(-2 + (0 - -10)). Solve o*x**2 + 64/5 - 48/5*x - 1/5*x**3 = 0.
4
Let g(s) be the third derivative of -s**8/6720 - s**7/1680 + s**6/360 + s**5/60 + 8*s**3/3 + 23*s**2. Let m(d) be the first derivative of g(d). Factor m(u).
-u*(u - 2)*(u + 2)**2/4
Suppose -15 = -2*s - 3*j, -s - 194*j + 7 = -193*j. Suppose -3/4*r**2 + 9 - s*r + 3/4*r**3 = 0. What is r?
-3, 2
Let m(z) be the second derivative of 0*z**3 + 0*z**2 + 0 - 25/12*z**4 - 1/2*z**6 + 4*z - 4*z**5. Solve m(q) = 0.
-5, -1/3, 0
Let s = 2119/22 - 1054/11. Factor q**3 + 0 - s*q**2 - 1/2*q.
q*(q - 1)*(2*q + 1)/2
Let z(o) = 4*o**5 - 72*o**4 + 172*o**3 - 152*o**2 + 40*o. Let x(t) = t**5 - 24*t**4 + 58*t**3 - 51*t**2 + 13*t. Let i(j) = -8*x(j) + 3*z(j). Factor i(h).
4*h*(h - 2)**2*(h - 1)**2
Let n(w) = w**3 + 6*w**2 + 5*w - 10. Let h = 16 - 20. Let v be n(h). Determine m, given that -1/4*m - 1/8 - 1/8*m**v = 0.
-1
Solve 10*v**4 - 32 - v**5 + 35*v - 32*v**2 - v**5 + 9*v - 8*v**3 + 20*v = 0.
-2, 1, 2
Let f(y) = 5*y**2 - 30*y + 2. Let n be f(6). Let r(g) be the second derivative of -3/2*g**n + 5*g - 3/20*g**5 - 3/4*g**4 + 0 - 3/2*g**3. Factor r(l).
-3*(l + 1)**3
Let c be (-2125)/(-34) + (-1)/((-2)/4). Let b = 66 - c. Determine h, given that 1/2*h**2 + 1 - b*h = 0.
1, 2
Suppose -75*o - 25 + 88 = -87. Factor -7/2*r**2 - o - 8*r.
-(r + 2)*(7*r + 2)/2
Let z(k) be the third derivative of -5/21*k**3 + 0*k + 0 - 1/24*k**4 - 15*k**2 - 1/420*k**5. Factor z(m).
-(m + 2)*(m + 5)/7
Let b = 7/332 + 1223/4980. Let z(r) be the second derivative of 0 - 1/3*r**3 - 1/21*r**7 - 2/3*r**4 + 0*r**2 - 7*r - 3/5*r**5 - b*r**6. Factor z(v).
-2*v*(v + 1)**4
Find x such that -220/9*x**2 + 4/9*x**5 + 8*x + 0 - 28/3*x**4 + 76/3*x**3 = 0.
0, 1, 18
Let k(w) be the third derivative of 0*w - 1/78*w**5 - 4/39*w**3 + 0 - 10*w**2 - 2/39*w**4 - 1/780*w**6. Factor k(q).
-2*(q + 1)*(q + 2)**2/13
Let k(h) be the third derivative of -h**7/525 - 3*h**6/25 - 194*h**5/75 - 96*h**4/5 - 1024*h**3/15 - 782*h**2. Solve k(p) = 0.
-16, -2
Suppose 2*x - x = -3*x. Factor -3/7*k**4 + 0*k + 6/7*k**2 + x*k**3 - 3/7.
-3*(k - 1)**2*(k + 1)**2/7
Let m = 7 + 21. Factor 4*z**3 - 20 - m*z**2 + 4*z + 3*z + 17*z + 20*z.
4*(z - 5)*(z - 1)**2
Factor -88/5*i**2 - 14/5*i**3 - 30*i - 36/5.
-2*(i + 3)**2*(7*i + 2)/5
Let l be 1 - (-2)/(-6) - (-326)/(-300). Let d = 2/25 - l. Let 0 - d*h - h**2 + 3/2*h**3 = 0. Calculate h.
-1/3, 0, 1
Let o(l) = l + 1. Let d be o(1). Factor -3*w**3 - 8*w - 10*w**2 - 4*w + 14*w**d + 11*w**2.
-3*w*(w - 4)*(w - 1)
Let x(d) be the second derivative of 7/1440*d**6 + 0 + d**3 + 0*d**2 + 0*d**4 + 1/240*d**5 + 9*d. Let h(m) be the second derivative of x(m). Factor h(o).
o*(7*o + 2)/4
Let -10/9*y + 2/9*y**2 + 4/3 = 0. Calculate y.
2, 3
Suppose 504*t**3 - 304*t**2 - 359*t**2 - 121*t**2 - 2*t**5 - 60*t**4 + 4*t**5 = 0. What is t?
0, 2, 14
Let i(f) = -5*f + 15. Let q(b) = -16*b + 46. Let p(x) = -10*i(x) + 3*q(x). Let g be p(7). Determine u so that -1/3*u**g + 2/3*u**3 + 0*u + 0 = 0.
0, 1/2
Let m be ((-6)/(-55))/(6/20). Suppose 0 = 22*x + 66*x - 182 - 170. Determine t, given that 6/11*t**x - m*t**3 + 0*t**2 + 0*t + 0 = 0.
0, 2/3
Let r(q) = -7*q**2 - 11*q + 7 + 2*q**3 - 3*q**2 + 3 + 3*q. Let x be (2 - 1)*(4 + -5). Let u(z) = -z**2 - z + 1. Let d(k) = x*r(k) + 6*u(k). Factor d(l).
-2*(l - 2)*(l - 1)*(l + 1)
Suppose 5*i + 27 + 3 = 0. Let h(f) = 6*f**3 + 8*f**2 + 7. Let y(c) = 5*c**3 + 7*c**2 + 6. Let u(t) = i*h(t) + 7*y(t). Find r such that u(r) = 0.
0, 1
Let u be 3 + (-1 - -5) + -7. Let x(q) be the second derivative of u - 1/18*q**4 + 1/90*q**6 - q + 0*q**3 + 1/6*q**2 + 0*q**5. Factor x(i).
(i - 1)**2*(i + 1)**2/3
Let q(a) be the first derivative of -2/17*a**2 + 7/34*a**4 + 41 - 10/51*a**3 + 0*a. Let q(k) = 0. What is k?
-2/7, 0, 1
Let o = -123/637 + 17/49. Factor 2/13*t**4 - 4/13*t**2 + 4/13*t**3 - 2/13*t**5 + 2/13 - o*t.
-2*(t - 1)**3*(t + 1)**2/13
Let r(y) be the second derivative of -y**4/6 - 20*y**3/3 - 64*y**2 + 161*y. Factor r(a).
-2*(a + 4)*(a + 16)
Solve 14/5*j + 0 + 2/5*j**2 = 0 for j.
-7, 0
Factor 1/5*u**3 - 14/5 - 16/5*u**2 + 29/5*u.
(u - 14)*(u - 1)**2/5
Let z(l) be the second derivative of 0*l**2 + 0*l**3 - l**6 + 5/42*l**7 - 7*l - 5/3*l**4 + 9/4*l**5 + 0. Find x, given that z(x) = 0.
0, 1, 4
Determine j, given that 4/17 - 50/17*j + 4*j**2 - 22/17*j**3 = 0.
1/11, 1, 2
Let a(v) = v**3 - 6*v**2 - 7*v + 1. Let k be a(7). Suppose 6 = 2*y + 4*x, 3*x - 14 = -5*y + k. What is g in -2/3*g**y + 0*g + 1/3*g**4 + 0 + 1/3*g**2 = 0?
0, 1
Let m be ((-2)/(-5))/((-2)/(-10)). Suppose 3*q**2 + 2*q - 8*q - q - m*q = 0. Calculate q.
0, 3
Let a = -21 - -23. Suppose 0 = 4*j + 4, -3*u + a*j + 3 = -5. Let -4/3*x**4 + u*x**5 - 4/3 + 2*x + 8/3*x**2 - 4*x**3 = 0. What is x?
-1, 2/3, 1
Let 6*f**3 + 74 - 30*f - 82 + 0*f**3 - 16*f**2 = 0. Calculate f.
-1, -1/3, 4
Let i = -2872733/9 + 318867. Let n = i + 326. Determine b, given that -2/9*b - 2/9*b**5 + 4/9*b**2 - 2/9*b**4 - 2/9 + n*b**3 = 0.
-1, 1
Factor x**3 + x**3 + 16*x - x**4 + 11*x**2 - 18*x - 10*x.
-x*(x - 4)*(x - 1)*(x + 3)
Suppose 128*h - 122*h - 120 = 0. Suppose -2*q + w + 3*w = -h, q + 4*w = -20. Let -2/13*u**3 + 0*u + 4/13*u**2 + q = 0. Calculate u.
0, 2
Suppose -2*l = -4 - 4. Suppose -2*r = -5*r - 6, -4*m - 4*r = -l. Factor 1/3*s**m - 1/3 - 1/3*s + 1/3*s**2.
(s - 1)*(s + 1)**2/3
Suppose -5*w + 84 = 7*w. Suppose 12*h = w*h. Determine g, given that h + 1/2*g**3 + 1/6*g**4 + 0*g + 1/3*g**2 = 0.
-2, -1, 0
Let f(c) be the first derivative of 2*c**6/3 + 8*c**5/5 - 2*c**4 - 16*c**3/3 + 2*c**2 + 8*c - 66. Let f(n) = 0. Calculate n.
-2, -1, 1
Let u(c) be the second derivative of -c**7/336 - c**6/60 + 5*c**4/48 + c**3/48 - 3*c**2/8 - 384*c. Determine l, given that u(l) = 0.
-3, -2, -1, 1
Let -34*s + 226*s + 1294 + 141 + 869 + 4*s**2 = 0. What is s?
-24
Suppose -3*n + 11 = -13. Suppose 4*d + 4*f = 6 + 2, -4*d - 2*f + n = 0. Determine l so that 2*l**3 - 3*l**4 + 3*l**3 - 8*l**3 - 3*l**d + 3*l + 6*l**4 = 0.
-1, 0, 1
Let h(l) = -20*l**2 - 120*l + 40. Let q(c) = 5*c**2 + 30*c - 11. Let y(r) = -6*h(r) - 25*q(r). Factor y(p).
-5*(p - 1)*(p + 7)
Let n(u) be the first derivative of u**7/840 - u**6/90 - u**5/24 - 14*u**3/3 - 15. Let j(q) be the third derivative of n(q). Factor j(i).
i*(i - 5)*(i + 1)
Let z(s) = -s**3 - 5 + 4*s**2 + 5 - 2*s + 4 - 4*s. Let f be z(2). Find x, given that 6/5*x + 3/5*x**2 + f = 0.
-2, 0
Suppose 0*w - 13 = -3*a + 5*w, -a = -5*w - 11. Factor -3 + 5 - 9 + 3*g + 3*g**2 + a.
3*(g - 1)*(g + 2)
Let t be (-1 - -2)*(1 - -1)*1. Let 4*z**t + 28/5*z**5 + 0 - 4*z**4 - 36/5*z**3 + 8/5*z = 0. Calculate z.
-1, -2/7, 0, 1
Let r(z) be the third derivative of 1/96*z**4 + 8*z**2 + 1/480*z**6 + 0 + 0*z + 1/120*z**5 + 0*z**3. Factor r(t).
t*(t + 1)**2/4
Let r(o) be the first derivative of 0*o + 10/9*o**3 - 2/3*o**5 + 1/3*o**4 - 2/3*o**2 - 35. Suppose r(x) = 0. What is x?
-1, 0, 2/5, 1
Let r be 16/((-48)/9) + 7. Factor -2/15*b**3 + 0*b + 0*b**2 - 2/15*b**r + 0.
-2*b**3