 2)/4
Suppose -3*i - i + 7 + 5 = -4*v, -v = 0. Let x(y) be the second derivative of 0 - 5/7*y**2 + 4/21*y**i + 1/42*y**4 - 15*y. Suppose x(n) = 0. Calculate n.
-5, 1
Let y = 2 - 2. Let a(w) = -2*w**3 - 13*w**2 - 5*w + 8. Let j be a(-6). Factor -3*v**j + y*v**4 + v**4 + 1 - 2*v**2 + 3*v**2.
(v - 1)**2*(v + 1)**2
Let c(r) be the second derivative of 2*r**5/15 + 7*r**4/18 - 26*r**3/9 + 5*r**2 + 51*r. Determine m, given that c(m) = 0.
-15/4, 1
Let u(m) be the first derivative of m**4/28 - 337*m**3/21 + 2040*m**2 - 4032*m - 76. Let u(i) = 0. Calculate i.
1, 168
Let k = -89604 - -89606. What is p in 676/7 + 52/7*p + 1/7*p**k = 0?
-26
Let k(a) be the first derivative of 31/24*a**3 + 3/40*a**5 - 23/32*a**4 + 148 - 3/4*a - 5/16*a**2. Find j, given that k(j) = 0.
-1/3, 1, 6
Let i(n) = 248*n**2 + 91*n + 8. Let p be i(4). Let w be (2/21)/(372/p). Factor -w*j**2 + 8/3 - 56/9*j.
-2*(j + 6)*(5*j - 2)/9
Let j(o) = -10*o - 111. Let x be j(-7). Let s be x/(-10) + (-2 - 3)/50. Factor 16/5*f**3 + 8/5*f**2 + 4/5*f**s - 12/5 - 16/5*f.
4*(f - 1)*(f + 1)**2*(f + 3)/5
Let -56/3 - 2440/3*n - 58*n**2 = 0. Calculate n.
-14, -2/87
Factor 129*i**2 - 239 - 134*i**2 + 1143 + 1179 - 920*i - 223.
-5*(i - 2)*(i + 186)
Let n(j) = -4*j**2 + 40*j - 61. Let y(l) = 1. Suppose 0 = -4*r - 48 + 44. Let x(d) = r*n(d) + 3*y(d). Factor x(i).
4*(i - 8)*(i - 2)
Let r(h) be the first derivative of -h**4 - 8*h**3/3 + 82*h**2 + 168*h + 109. Factor r(g).
-4*(g - 6)*(g + 1)*(g + 7)
Let r(t) = 3*t**2 + 27*t + 3. Let v be r(-9). Let 5*c**2 + 0*c + 111*c**3 - 5*c**4 + 5*c - 116*c**v = 0. What is c?
-1, 0, 1
Let m(f) be the first derivative of -110 - 312*f**2 - 288*f - 57*f**4 - 536/3*f**3 - 2/3*f**6 - 48/5*f**5. Factor m(s).
-4*(s + 2)**3*(s + 3)**2
Let z(h) be the second derivative of h**4/20 + 114*h**3/5 + 19494*h**2/5 + 2*h - 123. Factor z(c).
3*(c + 114)**2/5
Solve 250/3*u + 20/3*u**3 + 125/3*u**2 + 1/3*u**4 + 0 = 0.
-10, -5, 0
Let u(v) be the first derivative of 2/27*v**3 - 4/9*v**2 + 8/9*v + 10. Factor u(w).
2*(w - 2)**2/9
Suppose -52*v + 33 = -55*v. Let k be ((-3)/(-2 - 1))/(v/(-55)). Factor -32 + 8*a**3 + 1553*a**4 + 2*a**5 + 11*a**2 - 48*a - a**k - 1547*a**4 - 27*a**2.
(a - 2)*(a + 2)**4
Solve -3*b**4 - 117*b**2 + 5*b**3 + 4*b**3 - 76*b**3 + 12*b + 156 + 19*b**3 = 0 for b.
-13, -2, 1
Let c(o) = 2*o**3 + 61*o**2 - 91*o + 268. Let g be c(-32). Let 12*x + 1/3*x**2 + g = 0. What is x?
-18
Let o be 153/68 + (-2)/8. Find i, given that 2*i**3 - 126*i**o - 21*i**2 - 1361*i - 364*i - 5*i**3 + 1875 = 0.
-25, 1
Let j(t) = t**3 - 11*t**2 + 12*t - 10. Suppose 2*s - 4*x = 8, s - 9 = -2*x + 7. Let q be j(s). Factor 6 - q*k - 4*k**4 + 10*k**3 + 0 - k**4 - 1.
-5*(k - 1)**3*(k + 1)
Let v = 2983/1437 + -675/479. Factor -76/3*m - 14 + 4*m**3 + v*m**4 - 8*m**2.
2*(m - 3)*(m + 1)**2*(m + 7)/3
Let w(t) be the first derivative of -4*t**3/3 - 880*t**2 + 1764*t - 1179. Find g, given that w(g) = 0.
-441, 1
Let b be ((-188)/(-329))/(-2 - 176/(-28)). Let g(z) be the first derivative of 3/5*z**2 + 8/5*z - 2 - b*z**3. Suppose g(h) = 0. What is h?
-1, 4
Let g(o) be the second derivative of o**7/5460 + o**6/260 + 3*o**3/2 + 3*o**2/2 - 141*o. Let w(d) be the second derivative of g(d). Solve w(f) = 0.
-9, 0
Let s = -510 + 515. Suppose s*a**2 - 240*a - 32 + 180*a - 32 - a**2 = 0. What is a?
-1, 16
Let u = -2201 - -3741. Determine w, given that -w**3 + 1540 + 2*w**3 + 7*w**2 + 10*w - u = 0.
-5, -2, 0
Let o(t) be the first derivative of -t**4 + 4/5*t**5 - 20/3*t**3 + 34 + 0*t - 6*t**2. Factor o(l).
4*l*(l - 3)*(l + 1)**2
Let u be (-336)/128*(-4 - (-312)/91). Solve -9/2*l - 3*l**2 + 0*l**4 + 3 + 6*l**3 - u*l**5 = 0.
-2, -1, 1
Let l(q) be the first derivative of -2/15*q**5 - 68 + 0*q**2 + 0*q - 1/18*q**4 + 2/9*q**3 + 1/27*q**6. Let l(a) = 0. Calculate a.
-1, 0, 1, 3
Let x(b) be the third derivative of -b**5/150 + 4*b**4/15 + 290*b**2. What is z in x(z) = 0?
0, 16
Let l be 4/(-8) + 14/4. Find m, given that -2 + 125*m - 61*m - 82*m**2 - l + 26*m**3 - 3 = 0.
2/13, 1, 2
Suppose 15*x - 16*x = -9. Factor -2*w**2 + 12*w**5 - 4*w**2 + 12*w**3 - 15*w**5 - 2 + 8 - x*w.
-3*(w - 1)**3*(w + 1)*(w + 2)
Let h(a) be the first derivative of 1/4*a**4 + 0*a - 1/30*a**5 - 27/2*a**2 + 4/3*a**3 + 41. Let l(s) be the second derivative of h(s). Let l(v) = 0. What is v?
-1, 4
Let o(f) = -7*f**3 - 115*f**2 - 132*f - 12. Let i(b) = 8*b**3 + 139*b**2 + 131*b + 14. Let c(l) = -6*i(l) - 7*o(l). Suppose c(p) = 0. Calculate p.
0, 6, 23
Let k(y) be the third derivative of y**6/660 - 13*y**5/165 - 511*y**4/132 - 1960*y**3/33 + 91*y**2 - 2. Factor k(c).
2*(c - 40)*(c + 7)**2/11
Let t be -6*(2 + -5 + 0). Factor 6233*c**5 - 6231*c**5 - t*c**4 + 31*c + c + 56*c**3 - 72*c**2.
2*c*(c - 4)*(c - 2)**2*(c - 1)
Let u = 2799 - 11195/4. Let q(i) be the second derivative of 0*i**4 - 22*i + 1/80*i**5 - 1/8*i**3 + 0 - u*i**2. Factor q(o).
(o - 2)*(o + 1)**2/4
Let v(a) be the first derivative of 1/20*a**4 - 13/10*a**2 + 98 - 1/3*a**3 - 7/5*a. Find b such that v(b) = 0.
-1, 7
Suppose 4*w**4 + 9 - 13*w**2 + 4*w**3 + 1/2*w**5 - 9/2*w = 0. What is w?
-6, -3, -1, 1
Suppose 20*a + 130489 - 130489 = 0. Factor a*j + 2/3*j**5 - 2/3*j**4 - 2*j**2 + 0 - 10/3*j**3.
2*j**2*(j - 3)*(j + 1)**2/3
Let -124/5 - 74/15*t - 2/15*t**2 = 0. What is t?
-31, -6
Let m be 19/(8379/161) - 14/63. Suppose 11/7*o + 0 + m*o**2 = 0. What is o?
-11, 0
Let a = -118195 - -709175/6. Factor -20/3 - 25/2*s + a*s**3 - 5*s**2.
5*(s - 8)*(s + 1)**2/6
Let l(v) be the second derivative of 0*v**2 - 1/42*v**4 + 72*v + 2/21*v**3 + 1. Suppose l(q) = 0. What is q?
0, 2
Let u = -165 - -195. Let h be (u/120)/(2/4). Factor -1/2*d - h*d**2 - 1/6 - 1/6*d**3.
-(d + 1)**3/6
Let q(i) be the second derivative of i**6/1260 + 41*i**5/105 + 1681*i**4/21 - 29*i**3/6 - i**2 + 87*i. Let b(n) be the second derivative of q(n). Factor b(t).
2*(t + 82)**2/7
Let g = -104275 - -104283. Factor -g*m - 1/3*m**2 - 1/3*m**4 + 2*m**3 - 16/3.
-(m - 4)**2*(m + 1)**2/3
Let z(k) be the second derivative of -k**5/5 + 15*k**4 - 544*k**3/3 + 456*k**2 + 44*k + 35. Factor z(n).
-4*(n - 38)*(n - 6)*(n - 1)
Let k be (-570)/(-1995)*(5 - (-1 - -1)). Factor 2/7*u**4 + 0*u + 12/7*u**3 + k*u**2 + 0.
2*u**2*(u + 1)*(u + 5)/7
Let b(h) = 2*h**3 + 2*h + 1. Let l(a) = -4*a**4 + 52*a**3 + 204*a**2 - 180*a + 18. Let j(c) = -18*b(c) + l(c). Let j(s) = 0. What is s?
-6, 0, 1, 9
Let a(t) be the first derivative of t**6/33 - 32*t**5/55 + 41*t**4/22 - 52*t**3/33 - 643. Let a(n) = 0. What is n?
0, 1, 2, 13
Let a be (1/(-5))/((-360)/(-2251400)) - 5. Let h = a + 1256. Factor 0 - h*i + 2/9*i**2.
2*i*(i - 1)/9
Let x(w) be the second derivative of 1/10*w**6 - 21/20*w**5 + 11/4*w**4 + 0 - 8*w - 5/2*w**3 + 0*w**2. Let x(g) = 0. What is g?
0, 1, 5
Let a be (-14)/(-6)*3 - (37 + -31). Let j(y) = 3*y**3 + y**2 - 4*y + 2. Let l be j(a). Factor -4*q + 22 + 2/11*q**l.
2*(q - 11)**2/11
Suppose -2*v = -0*v - 5*i + 153, -2 = -2*i. Let m = v - -76. Find p, given that 4*p**3 + 48*p**4 - 12*p - 75*p**2 - 16*p**5 + 8*p**3 + 43*p**m = 0.
-1/2, 0, 1, 3
Let g(b) be the third derivative of 81*b**7/140 - 1359*b**6/320 + 29*b**5/20 + 21*b**4/16 - b**3 + 191*b**2 - 2*b. Suppose g(p) = 0. What is p?
-1/4, 2/9, 4
Let u(g) be the second derivative of -g**4/27 - 407*g**3/27 + 205*g**2/3 - 2363*g. Factor u(m).
-2*(m + 205)*(2*m - 3)/9
Determine a so that -5*a**5 - 2536*a**2 - 5318*a**4 - 8872*a**3 + 10444*a**4 - 13*a**5 + 6300*a**4 = 0.
-2/9, 0, 1, 634
Find a, given that -36*a**2 - 70*a + 0 - 1/2*a**3 = 0.
-70, -2, 0
Factor -1486*y**2 + 3376*y + 287107 - 999443 + 1482*y**2.
-4*(y - 422)**2
Let a = 632/9 - 4406/63. Let x(u) be the first derivative of 0*u + a*u**3 + 4/7*u**2 - 9 - 1/14*u**4. Determine g, given that x(g) = 0.
-1, 0, 4
Let k(z) = -5*z**2 + 142*z + 11. Let f be -7 + (-3)/(-2)*(-50)/(-15). Let u(g) = -g**2 + 29*g + 2. Let q(x) = f*k(x) + 11*u(x). Let q(a) = 0. Calculate a.
0, 35
Suppose 331*d**2 + 1625 - 675*d**2 + 9717 + 339*d**2 - 2967 - 8370*d = 0. What is d?
-1675, 1
Let r(q) be the first derivative of 21/2*q**2 - 191 - 1/3*q**3 - 20*q. What is h in r(h) = 0?
1, 20
Let i = 496 - 503. Let k(z) = 3*z**2 + 7*z + 4. Let f(g) = -10*g**2 - 22*g - 11. Let c(t) = i*k(t) - 2*f(t). Suppose c(u) = 0. Calculate u.
-3, -2
Suppose 15 - 5 = 2*m. Suppose -m*c - 23 = -3*j + 2*j, 4*c = j - 19. What is d in -15*