 5)
Let f(l) be the second derivative of 128/3*l**2 + 1/36*l**4 + 15 + 16/9*l**3 - 3*l. Solve f(t) = 0 for t.
-16
Let f = 8150 + -8150. Let x(j) be the second derivative of -20*j - 1/6*j**6 + f*j**2 - 5/4*j**4 - j**5 + 0 + 0*j**3. What is u in x(u) = 0?
-3, -1, 0
Let d(j) be the second derivative of j**3 + 2*j**2 + 21*j. Let r be d(0). Suppose -r*i**4 + 5*i**4 + 6*i**4 - 2*i**4 + 10*i**3 - 15*i**2 = 0. Calculate i.
-3, 0, 1
Suppose 5*v - 3*p - 61 - 6 = 0, -3*v + 45 = 3*p. Let u be 6 - -10*(6/v)/(-1). Determine n, given that -10/7*n + u - 2/7*n**2 = 0.
-6, 1
Solve -1/5*v**5 + 12*v - 2*v**4 + 76/5*v**2 + 7/5*v**3 + 0 = 0.
-10, -2, -1, 0, 3
Let u be (-1)/3 - 50/(-275). Let c = u + 59/99. Find w such that -c*w + 2/9*w**2 + 2/9 = 0.
1
Let z be (8/36)/(4815/(-405) - -12). What is r in 14/13*r**z - 10/13*r**3 + 82/13*r - 2/13*r**4 + 60/13 = 0?
-5, -2, -1, 3
Let f(h) be the second derivative of h**6/160 - 3*h**5/40 + h**4/4 - 98*h**2 + 54*h + 1. Let b(a) be the first derivative of f(a). Suppose b(i) = 0. What is i?
0, 2, 4
Let x = -63 + 104. Let f = x + -38. Factor 8 + 3 - w + 2*w**2 - 13 + w**f.
(w - 1)*(w + 1)*(w + 2)
Factor 9*g**3 - 20*g**3 + 38*g**3 - 7*g**3 + 88*g**2 - 2920*g + 157*g**2 + 6480.
5*(g - 4)**2*(4*g + 81)
Factor 852*l**2 + 2 + 8 - 22 + 686*l**2 - 2100*l - 485*l**2.
3*(l - 2)*(351*l + 2)
Let j = 8235 - 8233. Find m such that 5 - 23/2*m**3 + 23/2*m + 5/2*m**4 - 15/2*m**j = 0.
-1, -2/5, 1, 5
What is h in -3145*h**3 + 605*h**2 + 462714*h - 1523*h**2 + 3147*h**3 - 1010*h**2 + 933156 = 0?
-2, 483
Let m = -2 - -14. Suppose -3*o + 38*v - 35*v + 102 = 0, -5*v - 77 = -2*o. Factor -33*r - m*r**2 + o*r + 2*r - 3*r**3.
-3*r**2*(r + 4)
Let j = 478 - 610. Let a be 2/4 - 33/j. Factor 3/4*g**2 + 0 + 9/4*g**4 - a*g**5 + 0*g - 9/4*g**3.
-3*g**2*(g - 1)**3/4
Suppose -3*w + 8*w = -15*w. Let i be (22 - -2) + w/(12/4). Let 37*z - 318*z**4 + 317*z**4 - 11*z**3 - i*z**2 - z = 0. What is z?
-6, 0, 1
Let b be 5848/24 - -2 - 4/6. Suppose 0 = 4*h + 181 - b. Factor 6*k**2 + h*k + 153*k**4 - 4 - 155*k**4 + 12 + k**3 - 5*k**3.
-2*(k - 2)*(k + 1)**2*(k + 2)
Let q be 36/126 - (24/14)/(-1). Factor 8*v + 0*v**2 + 0*v - 4*v**q + 6*v**2 + 8.
2*(v + 2)**2
Let k(h) be the second derivative of 34/27*h**3 - 1/90*h**5 - 8/3*h**2 - 1/6*h**4 - 25*h + 4. Factor k(i).
-2*(i - 2)*(i - 1)*(i + 12)/9
Suppose -5*d + 2*g = -24, 0 = -106*g + 104*g + 6. Let l(x) be the first derivative of 0*x - 5/6*x**d - 10/3*x**3 + 0*x**4 + 5/2*x**2 + 2*x**5 - 13. Factor l(v).
-5*v*(v - 1)**3*(v + 1)
Let j(f) = 5*f + 168. Let l be j(-32). Determine o so that -45*o + 12*o**3 - 30*o - l*o**3 + 78*o**2 - 7*o**3 = 0.
0, 1, 25
What is v in -v**2 + 946*v - 949*v - 2*v**2 = 0?
-1, 0
Let c(p) be the second derivative of p**7/14 - 19*p**6/10 + 249*p**5/20 - 65*p**4/4 - 1991*p. Solve c(h) = 0 for h.
0, 1, 5, 13
Let v(c) be the second derivative of -2*c**6/15 - 58*c**5/5 - 280*c**4 + 116*c**3/3 + 1682*c**2 - 536*c. Factor v(q).
-4*(q - 1)*(q + 1)*(q + 29)**2
Let c(y) be the second derivative of -y**4/102 + 5*y**3/17 + 2*y**2 + 126*y. Solve c(t) = 0.
-2, 17
Let b(i) = 2*i**3 - 3*i**2 + 11*i - 20. Let c be b(3). Let 11*r**3 + 16*r**4 + 5*r**5 - 2*r**3 - c*r**2 + 32*r - 21*r**3 - r**5 = 0. What is r?
-4, -2, 0, 1
Let z be -2*(-2)/8*(9 + -9). Suppose 421 = 2*l - j, z*j = l + 5*j - 183. Let -102*q**5 - 108*q**5 + 4*q**2 + 2*q + l*q**5 - 4*q**4 = 0. Calculate q.
-1, 0, 1
Suppose -295 = -336*k + 685 + 28. Factor 0*i + 6/5*i**2 + 2*i**k + 2/5*i**4 - 2/5*i**5 + 0.
-2*i**2*(i - 3)*(i + 1)**2/5
Let j(m) be the third derivative of 2*m**5/105 - 901*m**4/12 - 1577*m**3/21 + 6*m**2 - 8. Find i such that j(i) = 0.
-1/4, 1577
Determine q so that -20/9 + 32/9*q**4 - 178/9*q - 272/9*q**3 - 154/3*q**2 = 0.
-1, -1/4, 10
Let h(p) be the third derivative of p**8/3360 - p**7/350 - 7*p**6/300 + 7*p**5/75 + 6*p**4/5 + 64*p**3/15 - 4300*p**2. Determine u, given that h(u) = 0.
-2, 4, 8
Determine z, given that 122*z**4 - 27*z - 39*z**5 + 432*z**2 + 107*z + 19*z**5 - 8*z**5 + 94*z**4 + 596*z**3 = 0.
-1, -2/7, 0, 10
Let y(v) be the second derivative of -33/5*v**3 + 1/20*v**4 - 3 + 28*v + 3267/10*v**2. Factor y(l).
3*(l - 33)**2/5
Let h(z) = 9*z**4 - 19*z**2 + 18*z - 4. Let c(x) = -10*x**4 + 20*x**2 - 20*x + 5. Let b(v) = -4*c(v) - 5*h(v). Factor b(u).
-5*u*(u - 1)**2*(u + 2)
Let j(y) = y**4 + 28*y**3 - 316*y**2 + 554*y + 12. Let p(g) = g**4 + 27*g**3 - 322*g**2 + 556*g + 8. Let d(t) = -2*j(t) + 3*p(t). Factor d(s).
s*(s - 8)*(s - 2)*(s + 35)
Let u(d) be the first derivative of 4*d**5/25 - 4*d**4/5 - 4*d**3/3 + 308. Find a such that u(a) = 0.
-1, 0, 5
Let w(f) be the third derivative of -7*f**5/180 - 37*f**4/6 - 21*f**3/2 - 922*f**2. Determine o so that w(o) = 0.
-63, -3/7
Let t = 3307885/8 + -413480. Factor 87/8*r + 3/4 - t*r**2.
-3*(r - 2)*(15*r + 1)/8
Let w(q) = 25*q**3 - 675*q**2 + 10115*q - 50605. Let d = 233 + -236. Let u(z) = 8*z**3 - 225*z**2 + 3372*z - 16869. Let o(i) = d*w(i) + 10*u(i). Factor o(g).
5*(g - 15)**3
Let z(b) be the third derivative of b**6/50 + b**5/15 - b**4/15 - 195*b**2 + 1. Factor z(v).
4*v*(v + 2)*(3*v - 1)/5
Let i = -809016/7 + 115575. Solve 25/7*z**2 - i*z**4 + 0*z + 0 - 15/7*z**3 - 1/7*z**5 = 0.
-5, 0, 1
Suppose 3*t - 520 = -5*t. Let s = 131/2 - t. Determine l so that -3/2*l**2 + s - l = 0.
-1, 1/3
Let d = 21863/16950 + -145/113. Let q(t) be the second derivative of 0*t**2 - 32*t + 0 - d*t**6 + 1/210*t**7 - 1/100*t**5 + 0*t**3 + 1/60*t**4. Factor q(n).
n**2*(n - 1)**2*(n + 1)/5
Let x = -427 - -483. Let z be (x/(-112))/(2/(-8)). Factor 0*a + 0 - 2/5*a**z.
-2*a**2/5
Let w = 1434470 + -10041286/7. Find h, given that w*h**4 + 5/7*h**3 + 0 - 1/7*h**5 + 0*h + 0*h**2 = 0.
-1, 0, 5
Let -2/15*p**5 + 11072/15*p - 74/15*p**4 + 236/3*p**3 - 1280/3 - 5776/15*p**2 = 0. What is p?
-50, 1, 4
Find h, given that 206*h**3 - 137/9*h**4 + 0 - 1/3*h**5 - 456*h - 540*h**2 = 0.
-57, -2/3, 0, 6
Let m be (5 - 132/24)/(7/(-7 + -98)). Factor 10 + 5/2*o**2 - m*o**3 + 20*o.
-5*(o - 2)*(o + 1)*(3*o + 2)/2
Let q(j) be the third derivative of -j**7/420 + 11*j**6/240 - 29*j**5/120 - 35*j**4/48 + 25*j**3/2 + 723*j**2. Factor q(w).
-(w - 5)**2*(w - 3)*(w + 2)/2
Suppose 36*v - 10 = 31*v. Suppose -3*u + 8 = -5*n + v, 3*u - 4*n = 6. Factor -48*y**u - 4 + 52*y**3 + 6*y**4 + 22*y - 25*y**4 - 9*y**4 + 6*y**5.
2*(y - 1)**4*(3*y - 2)
Let s(x) = 4*x**2 + 4*x - 2. Suppose 3*b = 4*r - 2 - 8, 2*r = b + 4. Let a be s(b). Solve a*v - 18*v**5 + 14*v**5 - 8*v**2 + 8*v**4 - 2*v = 0 for v.
-1, 0, 1
Suppose 19*y = 14*y - 40. Let k(m) = -m**2 - 5*m + 26. Let a be k(y). Find v, given that -5/6*v - 1/6*v**a - 1 = 0.
-3, -2
Let h(w) = w**3 + 5*w**2 - 2*w + 5. Let l be h(-3). Let u = 31 - l. Find m, given that -6*m**3 + m**u + 5*m**3 - 2*m + 2*m = 0.
0, 1
Factor -124*f**4 - 126*f**4 + 376*f**4 - 130*f**4 + 8*f**3 + 32*f**2.
-4*f**2*(f - 4)*(f + 2)
Let o be 3/(((-25)/5)/(-5)). Suppose 4*t - 3*t = o. What is i in 2*i**2 + 3*i**4 + 5*i**t - i - i**2 + 4 - 4 = 0?
-1, 0, 1/3
Let s = -188872/5 + 37780. Determine b, given that -36/5 + 8/5*b**2 - 4/5*b**5 + s*b**4 + 12*b - 56/5*b**3 = 0.
-1, 1, 3
Factor 0*l + 108/5*l**2 + 0 - 4/5*l**3.
-4*l**2*(l - 27)/5
Let f be (-24)/54 + 18 + 126396/162. Solve -11572/9*s**2 + f*s**3 - 2150/9*s**4 + 8954/9*s + 250/9*s**5 - 2662/9 = 0 for s.
1, 11/5
Let l(w) = w**2 + w. Let d(v) = v**2 - 3*v - 11. Let x be d(5). Let p(c) = -2*c**2 - 377*c - 7220. Let m(i) = x*p(i) + 3*l(i). Factor m(z).
5*(z + 38)**2
Determine o so that 1/6*o**2 - 377/3*o + 142129/6 = 0.
377
Suppose 82*x = 261*x - 537. What is s in -7/6*s + 1/6*s**x + 1/3*s**2 + 2/3 = 0?
-4, 1
Suppose -41*g + 39*g + 34 = 0. Let y(j) = 47*j - 28. Let q be y(g). Factor -3*h + 771 - 3*h**2 - q.
-3*h*(h + 1)
Let y(q) = -96*q**3 - 19196*q**2 + 63974*q - 13200. Let d(z) = 9*z**3 + 1745*z**2 - 5815*z + 1200. Let n(r) = -68*d(r) - 6*y(r). Factor n(k).
-4*(k - 3)*(k + 100)*(9*k - 2)
Let t = 108 + -104. Let s be (24/28)/(t/14). Factor s*m**4 + 23*m**2 + 16*m**4 - 15*m**2 - 20*m**3 - 3*m**4 - 4*m**5.
-4*m**2*(m - 2)*(m - 1)**2
Let s(y) = -5*y**3 + 4*y**2 + 2*y - 4. Suppose -24 = -8*k + 16. Let x = k - 3. Let w(c) = -4*c**3 + 4*c**2 + 2*c - 4. Let j(p) = x*s(p) - 3*w(p). Factor j(i).
2*(i - 2)*(i - 1)*(i + 1)
Let k(j) be the third derivative of -j**6/660 + 46*j**5/165 - 181*j**4/132 + 30*j**3/11 - 431