v - 4*r - 1385 = 0. Let z = -2997/11 + v. Determine f, given that -12/11*f + z + 6/11*f**2 = 0.
1
Let z be -8*((-156)/48)/13. Suppose 14*b + z*b = 7*b. Solve b + 10/7*c**3 + 0*c**2 + 0*c**4 - 8/7*c - 2/7*c**5 = 0.
-2, -1, 0, 1, 2
Let t be 20*(-6)/(-48)*330/(-275) - (-65 - -2). Solve -t - 4/3*a**2 + 24*a = 0 for a.
3, 15
Let o(q) = q**3 + 4*q**2 - 5*q - 20. Let b be o(-3). Let y(f) be the second derivative of 0 - 3*f**2 + 4*f - 5/6*f**b - 7/3*f**3 - 1/10*f**5. Factor y(z).
-2*(z + 1)**2*(z + 3)
Let u(q) be the first derivative of -q**6/80 - q**5/80 + 5*q**4/32 - q**3/4 - 7*q**2/2 + 2*q - 68. Let w(p) be the second derivative of u(p). Factor w(g).
-3*(g - 1)*(g + 2)*(2*g - 1)/4
Let i(p) be the second derivative of 2/9*p**4 + 0*p**2 + 299*p + 1/135*p**6 + 7/90*p**5 + 0 + 0*p**3. Solve i(l) = 0.
-4, -3, 0
Let s(p) be the third derivative of 0 - 36*p**2 - 2/175*p**7 - 1/40*p**4 - 1/560*p**8 + 0*p + 0*p**3 - 1/25*p**5 - 3/100*p**6. Solve s(v) = 0 for v.
-1, 0
Let k(q) = -q**3 + 4*q**2 - 2*q + 4. Let z(m) = 15*m**3 + 261*m**2 + 330*m - 48. Let n(j) = 12*k(j) + z(j). Find y such that n(y) = 0.
-102, -1, 0
Let b(a) be the third derivative of 0*a + 2 + 56/3*a**3 - 1/30*a**5 + 1/12*a**4 + 10*a**2. What is x in b(x) = 0?
-7, 8
Let p = 5126/21123 - 48/2347. Find v, given that p*v**3 + 170/3*v - 50 - 62/9*v**2 = 0.
1, 15
Find i such that 784/3 + 22/3*i**3 + 64/3*i**4 + 2*i**5 + 616/3*i - 284*i**2 = 0.
-7, -2/3, 2
Let o = -4525 + 4528. Let u(g) be the second derivative of -1/13*g**o + 9*g + 0 + 0*g**2 + 1/78*g**4. Determine w so that u(w) = 0.
0, 3
Let p(l) be the third derivative of 1/3*l**4 - 6*l**2 + 0 - 3*l + 13/30*l**5 + 1/15*l**7 + 1/4*l**6 + 1/168*l**8 + 0*l**3. Solve p(u) = 0.
-4, -1, 0
Let n(z) be the first derivative of -4/3*z**2 - 4*z + 59 - 1/9*z**3. Determine v, given that n(v) = 0.
-6, -2
Let w(u) be the third derivative of -u**8/560 - 4*u**7/175 + 3*u**6/25 + 72*u**5/25 + 54*u**4/5 + 11*u**2 - 25. Solve w(r) = 0.
-6, -2, 0, 6
Factor -29/2*u - 1/6*u**2 - 43/3.
-(u + 1)*(u + 86)/6
Let b = 650697/5 - 130137. Let -b - 1/5*y**3 - 19/5*y - 8/5*y**2 = 0. What is y?
-4, -3, -1
Suppose 0 = 255*y - 204*y - 102. Let w = 7 - 4. Factor -7*p**2 - 2*p**2 - 3*p**2 - 3*p**y + 3*p**w.
3*p**2*(p - 5)
Let y be (-4)/(-9)*45*25/(-250)*30/(-4). Determine t so that 279/4*t + 3/4*t**3 + 189/2 + y*t**2 = 0.
-14, -3
Let z be (7*2 + (-24168)/1710)*-15. Suppose 14/9*k**3 + 0 - 8/9*k**4 + 0*k - 2/3*k**z = 0. Calculate k.
0, 3/4, 1
Suppose -5*h + 276 = -h. Let q = 73 - h. Suppose -85*m**2 - m**q + m**3 + 85*m**2 + 0*m**3 = 0. What is m?
0, 1
Let x(s) be the first derivative of -s**6/15 + 7*s**5/10 - s**4 - 56*s + 2. Let c(d) be the first derivative of x(d). Let c(z) = 0. Calculate z.
0, 1, 6
Let l = -53 - -69. Let m(z) = 3*z - 45. Let d be m(l). Factor -s**3 + 5*s**d + 0*s**3 + 3*s + s - 8*s**2.
4*s*(s - 1)**2
Let x(p) be the first derivative of -5*p**7/42 + p**6/3 + 7*p**5/4 - 25*p**4/3 + 10*p**3 + 37*p + 119. Let u(q) be the first derivative of x(q). Solve u(w) = 0.
-3, 0, 1, 2
Let f(b) be the third derivative of 4*b + 2*b**2 - 1/30*b**4 - 4/75*b**5 + 0 + 1/5*b**3 + 1/105*b**7 - 1/210*b**8 + 1/50*b**6. Let f(j) = 0. What is j?
-1, -3/4, 1
Let r(h) = -4*h**2 - 6*h + 15. Let j be r(1). Let b(c) be the first derivative of 0*c - 3/8*c**4 - 3/10*c**j + 0*c**3 - 8 + 0*c**2. Factor b(s).
-3*s**3*(s + 1)/2
Let f(g) be the first derivative of -48 - 4/3*g**3 + g**4 + 2*g + 2/5*g**5 - g**2 - 1/3*g**6. Determine a so that f(a) = 0.
-1, 1
Suppose 42*r - 38*r = 8. Let 5*n**r - 1 - 4 - 2 + 10 - 7*n - n**3 = 0. Calculate n.
1, 3
Let t(m) be the first derivative of 3/28*m**4 - 97/7*m**3 + 3600/7*m**2 - 6912/7*m + 170. Solve t(g) = 0 for g.
1, 48
Let u = -22112/9 + 110569/45. Factor 4/5*g - 3/5*g**3 + u*g**4 + 0 + 0*g**2.
g*(g - 2)**2*(g + 1)/5
Let t(g) = -g**3 + 3*g**2 + 12*g - 5. Let k be t(4). Let c be (-2)/6*(0 - k)/3. Suppose 6/5*l**c - 12/5 - 12/5*l + 9/5*l**2 - 3/5*l**4 = 0. What is l?
-1, 2
Let s = -2 - 28. Let q be 40/s*3/(-2). Factor -4*l**3 + 5*l**2 - 5*l**q - 5*l**4 + 6*l**2 + 3*l**4.
-2*l**2*(l - 1)*(l + 3)
Suppose 0 = -93*u + 72*u - 94*u + 460. Let f(w) be the second derivative of 0 - 2/15*w**6 + 4/5*w**5 - 25*w - 5/3*w**u + 0*w**2 + 4/3*w**3. Factor f(n).
-4*n*(n - 2)*(n - 1)**2
Suppose -b = 5*h - 237, -10*h - 5*b + 198 = -6*h. Solve 36*v + v**4 + 105*v**2 + 28*v**3 - 45*v**2 + 3*v**4 + 47 - h = 0 for v.
-3, -1, 0
Let d be (6/54)/((-861)/172 - -5). Let h = 769/36 + d. Factor h*f**2 + 15/4*f + 1.
(3*f + 1)*(3*f + 4)/4
Let l(i) be the first derivative of -i**4/2 - 2*i**3/3 + 20*i**2 - 1381. Factor l(j).
-2*j*(j - 4)*(j + 5)
Let q be (-15)/((-25)/(-5)) - -5. Suppose -5*j = -2*u + 6, u - j = q*j + 3. Solve -8*b + 2*b**2 - 2*b**3 + 4*b**u + 4*b - b**3 - 8 = 0 for b.
-2, 2
Let t(w) be the second derivative of w**7/168 - 13*w**6/120 + 33*w**5/80 - 31*w**4/48 + 5*w**3/12 - 9*w - 77. Factor t(a).
a*(a - 10)*(a - 1)**3/4
Let m(s) = -70*s**3 - 765*s**2 - 4196*s - 6053. Let f(l) = -25*l**3 - 255*l**2 - 1399*l - 2017. Let d(g) = 11*f(g) - 4*m(g). Solve d(i) = 0.
-45, -3
Suppose -4*g - 4*y - y = 166, -2*g + y = 76. Let d be g - -32 - 122/(-14). Factor -2*q + 2/7*q**2 + d.
2*(q - 6)*(q - 1)/7
Let x = -221 - -1991/9. Let t be -10*11*12/396*(-2)/15. Factor -t*a + x*a**2 + 2/9.
2*(a - 1)**2/9
Let i(l) = l**4 + l**3 - l. Let n(q) = -15*q**4 + 130*q**3 - 155*q**2 + 31*q. Let f(t) = -18*i(t) - 2*n(t). Factor f(y).
2*y*(y - 22)*(y - 1)*(6*y - 1)
Let o(a) be the first derivative of -5*a**4/12 - 9950*a**3/9 - 4950125*a**2/6 - 4584. Solve o(v) = 0.
-995, 0
Let q(s) = -16*s + 12. Suppose 4*k = 3*x + 24, -5*k + 2*k + 13 = -x. Let g be q(x). Suppose 3*a**5 + 79*a**4 + g*a**4 - 143*a**4 = 0. Calculate a.
-4, 0
Let i(a) = a**2 + a + 1. Let u be 0/6 + 3 - -4. Let d be 1 + -1 + (13 - 6)/u. Let h(f) = 68*f**3 - 90*f**2 + 30*f + 1. Let s(v) = d*h(v) - 3*i(v). Factor s(w).
(w - 1)*(4*w - 1)*(17*w - 2)
Suppose 1010*h - 360*h - 1950 = 0. Factor 2/5*d - 2/5*d**5 + 0 + 4/5*d**2 + 0*d**h - 4/5*d**4.
-2*d*(d - 1)*(d + 1)**3/5
Let g be ((-586)/8)/((0 + 11)/(-44)). Determine z, given that -56*z + g*z**3 + 96 - 312*z - 265*z**3 + 104*z**2 = 0.
-6, 2/7, 2
Let i(v) be the first derivative of -v**5/60 + v**4/12 - 43*v**2/2 - 58. Let s(k) be the second derivative of i(k). Factor s(z).
-z*(z - 2)
Let i(f) be the first derivative of f**3/9 - 34*f**2/3 + 580*f/3 + 43. Factor i(m).
(m - 58)*(m - 10)/3
Suppose 4695 = 197*u - 624. Let x(g) be the first derivative of 0*g - u - 1/14*g**4 - 1/21*g**6 - 4/35*g**5 + 0*g**3 + 0*g**2. Factor x(m).
-2*m**3*(m + 1)**2/7
Let x(w) = -9*w**2 - 17*w + 50. Let z(b) = -2*b + 1. Let r(g) = -5*g**2 - 13*g + 28. Let y(l) = r(l) - 2*z(l). Let o(s) = 6*x(s) - 10*y(s). Factor o(f).
-4*(f - 2)*(f + 5)
Let k(v) be the third derivative of v**5/140 - 979*v**4/28 - 1959*v**3/14 - 4*v**2 - 80. Suppose k(c) = 0. What is c?
-1, 1959
Let x be 6 + (-3)/10*18 - ((-342)/(-45) + -7). Factor -9*z**3 - 3/4*z**4 - 18*z + x - 105/4*z**2.
-3*z*(z + 1)*(z + 3)*(z + 8)/4
Suppose 2*v + 7 + 19 = 0. Let m be (-36)/60 - v/5. Factor 5*d**4 + 6*d**3 + m*d**3 - 13*d**3.
5*d**3*(d - 1)
Let 0 - 1/6*q**2 - 23/2*q = 0. What is q?
-69, 0
Suppose 56/13 - 2/13*s**3 + 80/13*s + 22/13*s**2 = 0. What is s?
-2, -1, 14
Let a(y) = -2*y**2 - 52*y - 8. Let d be a(-24). Solve 126*u**5 - 16*u - 104*u**5 - d*u**2 - 22*u**3 + 70*u**4 + 34*u**3 = 0 for u.
-2, -2/11, 0, 1
Let k = -327599 - -327602. Suppose 0*o + 8/11*o**4 + 0 + 14/11*o**k + 6/11*o**2 = 0. Calculate o.
-1, -3/4, 0
Let t(l) be the second derivative of 7*l**5/40 - 1241*l**4/72 - 571*l**3/18 + 10*l**2 + 931*l. Let t(m) = 0. Calculate m.
-1, 2/21, 60
Let i(b) be the third derivative of b**6/420 + 17*b**5/35 + 50*b**4/21 - 1471*b**2. Let i(g) = 0. Calculate g.
-100, -2, 0
Let n = -70 - -64. Let o(q) = q**3 + 6*q**2 - q - 4. Let u be o(n). Suppose -3*w - 1 + 2*w**3 - 3*w**2 - 2*w**3 - w**3 + 0*w**u = 0. What is w?
-1
Let a be 4 + (-312)/42 - 64/(-16) - 312/(-91). Solve 3/2*k**a - 3/2*k + 3/2*k**3 - 21/2*k**2 + 9 = 0 for k.
-3, -1, 1, 2
Let n(p) = 9*p**3 + 661*p**2 - 2728*p + 2692. Let d(j) = 10*j**3 + 660*j**2 - 2733*j + 2692. Let t(v) = 8*d(v) - 9*n(v). Factor t(w).
-(w - 2)**2*(w + 673)
Factor 4*w**4 + 378*w**2 + 16 - 16 - 72*w**3 + 22*w**2 - 512*w - 16*w**2.
4*w*(w - 8)**2*(w -