5 + 0*r**3 - 2*r**2 + 0*r - 1 - 1/540*r**6. Let u(q) be the second derivative of t(q). Factor u(z).
-2*z*(z + 1)**2/9
Let y = 18197 - 18194. Let g(i) be the third derivative of 5*i**2 - 6*i**y + 0 - 1/4*i**5 + 0*i + 1/80*i**6 + 7/4*i**4. Determine d so that g(d) = 0.
2, 6
Let a(x) be the first derivative of -x**7/560 - x**6/240 + x**5/80 + x**4/16 + x**3/3 - 5*x + 63. Let r(o) be the third derivative of a(o). Factor r(t).
-3*(t - 1)*(t + 1)**2/2
Factor 242/9 + 2/9*y**3 + 238/9*y**2 - 482/9*y.
2*(y - 1)**2*(y + 121)/9
Suppose 6*t - 6284 - 7876 = 0. Suppose -13 = 4*w - 1, 5*q = 5*w + t. Factor -q*j**5 - 2*j**4 + 471*j**5 + 2*j - 2*j - 4*j**3.
2*j**3*(j - 2)*(j + 1)
Let m(l) = 2*l - 20 + 1 + 0*l - 5*l. Let o be m(-7). Solve -o*i**2 + i + 2*i - 2*i**3 + 2*i**4 - 5*i + 4*i = 0 for i.
-1, 0, 1
Let b be (175/10)/(13/(-26)). Let q be (1 - -8) + 285/b. Factor -2/7*s**3 - q*s**2 - 2/7 - 6/7*s.
-2*(s + 1)**3/7
Suppose -757*r = -759*r + 8. Let c(q) be the second derivative of -20*q + 0 + 4/7*q**2 - 17/21*q**3 - 3/28*q**r. Factor c(d).
-(d + 4)*(9*d - 2)/7
Let g(o) be the first derivative of 3*o**5/5 - 117*o**4/4 + 315*o**3 - 2175*o**2/2 - 147. Solve g(u) = 0.
0, 5, 29
Let p be ((-20)/16)/(1/(-4)). Suppose p*y - 7 = -0*s + s, -4*y = -2*s - 2. Factor 25*i + 2*i**y - 5*i**3 - 12 - 4*i**2 - 3*i**2 - 3.
-5*(i - 1)**2*(i + 3)
Let o(u) be the third derivative of -u**8/1512 + u**7/135 - 3*u**2 - 64*u - 1. Factor o(c).
-2*c**4*(c - 7)/9
Suppose -k - 9 = -7 - 4. Suppose -2 + 5 = i. Factor 1/3*q**k - 1/3*q**4 + 2/3*q - 2/3*q**i + 0.
-q*(q - 1)*(q + 1)*(q + 2)/3
Determine g so that 0 - 76/7*g**2 - 15/7*g**3 + 1/7*g**4 + 0*g = 0.
-4, 0, 19
Suppose -626*d - 152 = 614*d - 1278*d. Factor -27/7*g**2 - 8/7 - 1/7*g**d + 25/7*g + 11/7*g**3.
-(g - 8)*(g - 1)**3/7
Factor -145*v**2 + 0 - 126/5*v**3 - 1/5*v**4 - 120*v.
-v*(v + 1)*(v + 5)*(v + 120)/5
Suppose -6*q - 17 = -5. Let v(b) = b**5 - 4*b**4 - 11*b**3. Let n(f) = 6*f**5 - 19*f**4 - 56*f**3. Let k(c) = q*n(c) + 11*v(c). Factor k(d).
-d**3*(d + 3)**2
Let y be 812/252 + ((-12)/(-27))/(-2). Let -56*d**3 + 26 - y*d**5 + 5*d**2 - 29*d**2 + 59*d**3 + 60*d + 22 - 60*d**3 - 24*d**4 = 0. What is d?
-4, -2, -1, 1
Let t(x) be the first derivative of -x**3/15 + 3142*x**2/5 - 9872164*x/5 - 2656. Determine y so that t(y) = 0.
3142
Suppose -747 - 426 = -833*w + 493. Let 2*r**3 + w*r + 20/3*r**2 - 8/3*r**5 - 8*r**4 + 0 = 0. Calculate r.
-3, -1/2, 0, 1
Let z(o) = o**2 + 32*o + 60. Let s be z(-2). Let l(i) be the first derivative of 1/6*i**6 + 0*i**2 + 21 + 1/4*i**4 + 0*i + 2/5*i**5 + s*i**3. Factor l(v).
v**3*(v + 1)**2
Let i = -614 - -703. Factor 28 - 14*g**2 + 4*g**3 - 64*g - 10*g**2 - 19 - i + 20*g**2.
4*(g - 5)*(g + 2)**2
Suppose 5 = k, i = -2*k + k + 10. Suppose 4*w - 2*z = 310, 0 = -i*w - z + 205 + 200. Factor -324 + 30*f**4 - 472*f**2 - 9*f**4 - w*f**3 - 25*f**4 - 720*f.
-4*(f + 1)**2*(f + 9)**2
Let u = 6127/1378 + 37/689. Find n, given that -1/2*n**2 + u + 0*n = 0.
-3, 3
Suppose -3*d = 2*h - 16, 21*d - 19*d + 3*h - 9 = 0. Factor -d*u**3 - 158*u**2 - 24*u**2 + 4*u**3 + 2813 + 1419 - 4048*u.
-2*(u - 1)*(u + 46)**2
Let a(q) be the third derivative of -1/120*q**6 + 0 + 59*q**2 + 1/3*q**3 + 0*q + 5/24*q**4 - 1/210*q**7 + 1/20*q**5. Factor a(g).
-(g - 2)*(g + 1)**3
Let b(g) = -8*g**3 - 2*g**2 - 2*g - 4. Let v be b(-2). Let -8*x**2 + 230*x**3 - 240*x**3 + v + 150*x + 104*x**2 - 12 = 0. What is x?
-1, -2/5, 11
Suppose 8*x = -31 - 9. Let q(n) = -8*n**2 + 40*n + 60. Let c(k) = 3*k**2 - 16*k - 24. Let l(s) = x*q(s) - 12*c(s). Factor l(d).
4*(d - 3)*(d + 1)
Let d be -2 + 5 + -17 + (8 - -8). Suppose 9 = d*g + g. Factor 0 - 1/4*n**4 - n**2 + 5/4*n**g + 0*n.
-n**2*(n - 4)*(n - 1)/4
Let m(c) = -219 + 80*c**3 + 12*c - 68*c**3 + 102*c**2 + 237*c. Let u(q) = -q**3 + q + 1. Let g(r) = -m(r) - 3*u(r). Factor g(t).
-3*(t + 6)**2*(3*t - 2)
Let g(z) be the second derivative of 6/7*z**4 - 93*z - 81/7*z**2 - 1/35*z**6 + 45/14*z**3 + 1/98*z**7 - 3/10*z**5 + 0. Find v such that g(v) = 0.
-3, -2, 1, 3
Let z(y) be the second derivative of -y**7/420 + 17*y**6/900 - 4*y**5/75 + y**4/15 - y**3 - y**2 - 22*y. Let j(n) be the second derivative of z(n). Factor j(q).
-2*(q - 2)*(q - 1)*(5*q - 2)/5
Let z be 9 - -41 - (237 - 187). Let -4*c - 14/3*c**2 + z = 0. Calculate c.
-6/7, 0
Let l(z) be the first derivative of 5*z**4/2 + 605*z**3/3 + 445*z**2 + 295*z + 615. Let l(g) = 0. Calculate g.
-59, -1, -1/2
Let i(z) be the second derivative of -z**5/130 - 412*z**4/39 + 83*z + 12. Factor i(r).
-2*r**2*(r + 824)/13
Let v(f) be the third derivative of -2/15*f**5 + 1/30*f**6 - 8/3*f**3 - 3 + 2*f**2 + 0*f - 7/6*f**4. Let v(u) = 0. Calculate u.
-1, 4
Suppose -1/3*f**5 + 86/3*f + 85*f**3 + 0 - 257/3*f**2 - 83/3*f**4 = 0. What is f?
-86, 0, 1
Let x(h) be the third derivative of -1/12*h**4 + 0 + 1/60*h**5 - 4/3*h**3 + 6*h**2 + 0*h. What is a in x(a) = 0?
-2, 4
Let y(i) be the first derivative of 3*i**4/2 - 31*i**3 + 201*i**2/2 - 78*i - 1498. Factor y(h).
3*(h - 13)*(h - 2)*(2*h - 1)
Let p(s) be the first derivative of -s**4/2 + 636*s**3 - 303372*s**2 + 64314864*s - 1903. Factor p(o).
-2*(o - 318)**3
Let o(s) be the second derivative of -s**4/4 - 7*s**3/2 - 89*s + 4. Let o(w) = 0. What is w?
-7, 0
Let n(a) = 16*a**4 - 58*a**3 + 447*a**2 - 983*a + 683. Let q(g) = 7*g**4 - g**3 - g**2 - g + 1. Let h(p) = n(p) - 3*q(p). Factor h(i).
-5*(i - 2)**3*(i + 17)
Let w be (9/(-18))/(6/4)*-1*32. What is f in -32/3*f - 2/3*f**5 - w + 16/3*f**2 + 16/3*f**3 - 2/3*f**4 = 0?
-2, -1, 2
Factor -3093*h**2 - 45*h**3 + 3693*h - 510 - 83*h**3 - 105 + 143*h**3.
3*(h - 205)*(h - 1)*(5*h - 1)
Let w(f) be the second derivative of f**6/360 + 11*f**5/240 - 17*f**4/144 - 7*f**3/8 - 3*f**2/2 + 89*f + 5. Solve w(d) = 0.
-12, -1, 3
Factor 25*u**4 - 57*u**2 - 81*u**3 - 2*u**3 - 5*u**5 + 43*u**3 + 77*u**2.
-5*u**2*(u - 2)**2*(u - 1)
Let j = -33858 - -33920. Factor 25*d - 5/4*d**3 + 0 + j*d**2.
-d*(d - 50)*(5*d + 2)/4
Let t be (-43)/(-86) - (-395)/2. Find m, given that 3*m**4 - 38*m - 312 + 7*m**3 + 482*m + 14*m**3 - t*m**2 + 0*m**3 = 0.
-13, 2
Suppose 7497*y = 7494*y - p, 2*y = -5*p - 52. Find s, given that -1/3*s**5 + 0*s - 2/3*s**2 + 1/3*s**3 + 2/3*s**y + 0 = 0.
-1, 0, 1, 2
Let w = 301 - 299. Determine f, given that -3*f - 6*f**4 + 10*f**w - 9*f - 8*f**4 + 4*f**3 + 12*f**4 = 0.
-2, 0, 1, 3
Let a = -39 + 49. Suppose -a*f + 15 = -5*f. Factor -55*n + 0*n**f - 3*n**3 + 58*n.
-3*n*(n - 1)*(n + 1)
Let a(u) be the third derivative of -u**5/360 + 5*u**4/36 + 125*u**3/36 - 9*u**2 + 11. Factor a(v).
-(v - 25)*(v + 5)/6
Let d(v) = 2*v**3 + 2*v**2 - 9*v + 13. Let j be d(2). Let k be 19 - j - (1/2 - 5). Find m such that -13/3*m**3 - 3*m**2 - 3/2*m**4 + 9/2*m + k - 1/6*m**5 = 0.
-3, -1, 1
Let x be 7*85/(-119) + ((-102)/20)/(-1). Let o(y) be the first derivative of x*y**4 + 6/5*y**3 + 24/5*y**2 + 6 + 32/5*y. Factor o(i).
2*(i + 1)*(i + 4)**2/5
Let k(b) be the first derivative of 1/2*b**4 - 32/3*b**3 + 86 - 196*b + 77*b**2. Determine f, given that k(f) = 0.
2, 7
Let s(q) be the second derivative of q**5/70 + q**4/42 - 10*q**3/21 + 8*q**2/7 + 477*q. Let s(y) = 0. Calculate y.
-4, 1, 2
Let b(g) = -12*g**3 - 375*g**2 + 290*g + 67. Let k be b(-32). Factor -6/5*q**k + 9/5*q**5 + 0 + 3*q**4 + 0*q**2 + 0*q.
3*q**3*(q + 2)*(3*q - 1)/5
Suppose -14*t - 15 + 131 = 44*t. Factor 4/5 + 1/5*r**t + r.
(r + 1)*(r + 4)/5
Let w = 349/6 + -58. Let g = 925346 - 925343. What is o in 0 + 1/2*o**g + w*o - 1/6*o**4 - 1/2*o**2 = 0?
0, 1
What is g in -22*g + 67/3 - 1/3*g**2 = 0?
-67, 1
Let c(k) = k**3 + k**2 + 3*k + 1. Let p(y) = 4*y**4 - 221*y**3 - 55*y**2 + 245*y + 63. Let j(o) = -6*c(o) + p(o). What is x in j(x) = 0?
-1, -1/4, 1, 57
Suppose -5*q + 4903 = 688. Factor 875*h**3 - 38*h + 16 - q*h**3 + 4*h - 20*h**4 + 4*h**2 + 2*h**5.
2*(h - 8)*(h - 1)**3*(h + 1)
Let m = -183 - -188. Factor -m*d**5 - 19817*d + 10*d**4 + 19817*d.
-5*d**4*(d - 2)
Let b(i) be the first derivative of 75 - 13/6*i**3 - 7/16*i**4 + 3/2*i - 13/8*i**2. Find u such that b(u) = 0.
-3, -1, 2/7
Let m be (-936)/(-481) + ((-8)/(-518))/((-300)/(-1050)). Find i, given that -4/7*i**3 - 24/7 - 4/7*i**4 + 4*i**m + 4/7*i = 0.
-3, -1, 1, 2
Suppose -30444/11*o**3 - 1734/11 - 76404/11*o**2 - 138/11*o**5 + 4410/11*o**4 - 43146/11*o = 0. Calculate o.
-1, -1/23, 17
Let m be ((-9)/(-216))/(6/48). Sup