+ 2)*(3*n + 2)/5
Let h be (-87)/(-145)*134385/124. Factor -3/4*f**3 - 14739/4 - h*f - 153/4*f**2.
-3*(f + 17)**3/4
Let d(c) be the first derivative of -3*c**5/40 - 9*c**4/32 + 5*c**3/4 + 9*c**2/2 + 2258. Factor d(v).
-3*v*(v - 3)*(v + 2)*(v + 4)/8
Let s(c) be the first derivative of -32 + 32/3*c + 40/9*c**2 + 22/27*c**3 + 1/18*c**4. What is n in s(n) = 0?
-4, -3
Let n(y) be the first derivative of y**4/20 - 364*y**3/5 + 198744*y**2/5 - 48228544*y/5 - 1124. Factor n(l).
(l - 364)**3/5
Let p(i) be the second derivative of 1/15*i**3 - 5 - 34*i - 1/30*i**4 + 2/5*i**2. Factor p(g).
-2*(g - 2)*(g + 1)/5
Let b(g) be the first derivative of -3/5*g**5 + 81*g + 6*g**3 - 54*g**2 + 3*g**4 - 51. Determine f so that b(f) = 0.
-3, 1, 3
Find c such that -164/9*c - 106/9*c**2 + 2/9*c**5 + 34/9*c**4 - 64/9 + 26/9*c**3 = 0.
-16, -1, 2
Let b = 480 - 1539. Let l = 1666 + b. Determine r, given that 10 - 26 - l*r**5 + 43*r**3 - 11*r**4 + 608*r**5 + 56*r - 73*r**2 = 0.
1, 4
Factor c + 2 + 6495*c**2 + 6426*c**2 - 12874*c**2 + 48*c.
(c + 1)*(47*c + 2)
Factor 257*p**2 + 273*p**2 - 533*p**2 - 1225048 + 12888*p - 12616664.
-3*(p - 2148)**2
Suppose d + 13 = 7*z - 2*z, -5*z = 5*d + 5. Factor -5*o**2 + o**z - 148*o + 133*o + 2 + 2.
-(o + 4)*(4*o - 1)
Let f = -157126/3 + 52855. Let z = -479 + f. Factor -1/3*h**5 + 16/3*h**2 + 8/3*h**3 - 32/3 - z*h**4 - 16/3*h.
-(h - 2)**2*(h + 2)**3/3
Let l = 7918816594/8549959 + -2/777269. Let h = l - 926. Factor 6/11*u - h*u**2 - 4/11.
-2*(u - 2)*(u - 1)/11
Let n(c) be the first derivative of -c**3/21 - 3*c**2/7 + 16*c/7 + 1016. Find l, given that n(l) = 0.
-8, 2
Let l(z) be the second derivative of -13*z**4/18 - 71*z**3 - 98*z**2/3 - 495*z + 3. Factor l(q).
-2*(q + 49)*(13*q + 2)/3
Let l = 27 - 133/5. Let z = -593523/5 + 118706. Factor z*w + l + w**2.
(w + 1)*(5*w + 2)/5
Let d(r) be the third derivative of -1/3*r**4 + 0*r - 8/5*r**3 + 1/60*r**6 + 1/75*r**5 + 39*r**2 + 0 + 1/525*r**7. Factor d(v).
2*(v - 2)*(v + 2)**2*(v + 3)/5
Let h(j) be the first derivative of j**4/24 + 151*j**3/18 + 1406*j**2/3 - 2888*j/3 + 1339. Factor h(o).
(o - 1)*(o + 76)**2/6
Factor 1068 - 1772*o**2 + 4*o**4 + 768*o**2 + 996*o**3 - 996*o - 68.
4*(o - 1)**2*(o + 1)*(o + 250)
Suppose 2*o - 4*x - 132 = 0, -o + 20 + 49 = -x. Factor -o - 110*n**2 - 32*n + 61*n**2 + 51*n**2.
2*(n - 18)*(n + 2)
Let k(y) = 23*y + 104 - 27 - 41 - 14*y**2. Let p(f) = 5*f**2 - 8*f - 12. Let j be (-2 - -3)/(5/55). Let t(a) = j*p(a) + 4*k(a). Factor t(z).
-(z - 6)*(z + 2)
Let l = 17047/3 + -85217/15. Let y = 4 - 2. Let l + 9/5*v**y + 3*v = 0. Calculate v.
-1, -2/3
Let g(u) be the second derivative of -413/16*u**4 - 31*u**3 - 27/2*u**2 + 37*u + 147/80*u**5 + 0. Solve g(n) = 0.
-2/7, 9
Let p(b) = 4414*b + 17659. Let a be p(-4). Factor 0 - 64/5*v - 672/5*v**a - 196/5*v**4 + 432/5*v**2.
-4*v*(v + 4)*(7*v - 2)**2/5
Let d(y) be the third derivative of 3 - 17/16*y**4 + 19/2*y**3 - 1/40*y**5 + 0*y - 75*y**2. Factor d(o).
-3*(o - 2)*(o + 19)/2
Let l(f) be the first derivative of f**4/4 - 281*f**3/3 + 9940*f**2 - 19600*f - 1505. Factor l(k).
(k - 140)**2*(k - 1)
Let -34/15*h**3 - 32/5*h - 28/15*h**4 + 32/3*h**2 - 2/15*h**5 + 0 = 0. Calculate h.
-12, -4, 0, 1
Let u(v) be the third derivative of v**8/3360 - v**6/720 + 20*v**3/3 + 51*v**2. Let k(d) be the first derivative of u(d). What is a in k(a) = 0?
-1, 0, 1
Factor 25*z**2 + 92*z + 3 - 15*z**2 - 14*z**2 - 84 - 87.
-4*(z - 21)*(z - 2)
Let l(o) be the second derivative of -o**6/10 + 72*o**5/5 - 47*o**4/2 - 48*o**3 + 285*o**2/2 - 564*o - 1. Factor l(h).
-3*(h - 95)*(h - 1)**2*(h + 1)
Let n be ((-2)/10)/((-6)/1230). Let j = -41 + n. Determine a, given that 2*a**2 - 12*a**5 + 11*a**5 + j*a**4 + a**3 - 2*a**4 = 0.
-2, -1, 0, 1
Let y(f) be the third derivative of 7/36*f**5 - 1/24*f**6 + 0 + 0*f + 90*f**2 - 5*f**3 + 25/24*f**4 - 1/126*f**7. Let y(i) = 0. Calculate i.
-3, 1, 2
Let h = 15454 - 77262/5. Factor -h*t + 0 - 44/5*t**2 - 12*t**3.
-4*t*(3*t + 1)*(5*t + 2)/5
Let p be (-14)/4*(-11 + 803/77). Let s(h) be the second derivative of 0 + 0*h**p - 27*h + 3/100*h**5 + 0*h**3 + 0*h**4 + 0*h**6 - 1/70*h**7. Factor s(d).
-3*d**3*(d - 1)*(d + 1)/5
Factor 33/5*g**2 - 78*g + 648/5.
3*(g - 2)*(11*g - 108)/5
Suppose -280*p + 12*p**2 - 804 + 305 - 689 = 0. Calculate p.
-11/3, 27
Let a(p) be the third derivative of p**7/1365 - 2*p**6/65 + 119*p**5/390 - 17*p**4/13 + 36*p**3/13 + 1941*p**2 - p. Suppose a(w) = 0. What is w?
1, 2, 3, 18
Let m(d) be the first derivative of -7*d**5/180 - 23*d**4/72 - d**3/3 + 11*d**2/2 + 42. Let i(r) be the second derivative of m(r). Let i(h) = 0. Calculate h.
-3, -2/7
Let j(b) be the second derivative of b**5/10 - 13*b**4/3 + 145*b**3/3 - 228*b**2 + 39*b - 56. Factor j(m).
2*(m - 19)*(m - 4)*(m - 3)
Let u(n) be the third derivative of 0 - 1/80*n**6 - 5/48*n**4 + 1/420*n**7 + 0*n**3 + 18*n**2 - 3/40*n**5 + 0*n. Let u(x) = 0. Calculate x.
-1, 0, 5
Let n = 49 + -14. Let w = n - 18. Factor 16*k + 22*k**2 + 38 - 37*k**2 + w*k**2 - 6.
2*(k + 4)**2
Suppose 0 = 4*x + 4*x - 288. Solve 48*a + x*a**2 + 31*a**2 - 49*a**2 + 2*a**3 + 32 = 0.
-4, -1
Let o be (-12)/10*2*(-330)/(-924)*(-784)/378. Factor 8/9 + 56/9*w**2 + o*w**4 - 2/9*w**5 - 44/9*w**3 - 34/9*w.
-2*(w - 4)*(w - 1)**4/9
Let r(h) be the first derivative of -5/12*h**4 + 21/2*h**2 + 0*h - 1/12*h**5 + 18 + 5/2*h**3. Let m(i) be the second derivative of r(i). Factor m(z).
-5*(z - 1)*(z + 3)
Let s = 47692 + -47687. Solve -s*n**2 - 43/3*n + 2 = 0.
-3, 2/15
Let j(h) be the first derivative of -h**4 + 456*h**3 - 77976*h**2 + 5926176*h - 1733. Factor j(v).
-4*(v - 114)**3
Let t be (0 - (3 - 4))*2. Let v be (t/8)/((-126)/(-840)). Factor v*p + 10/3*p**2 + 5/3*p**3 + 0.
5*p*(p + 1)**2/3
Factor 38*q + 58*q**4 - 32*q - 122*q**4 + 104*q**4 - 16*q**3 - 14*q**2.
2*q*(2*q - 1)**2*(5*q + 3)
Suppose -5*m + t - 10 = -16, -5*m - 3*t = -22. Solve 119*o**3 + 119*o**3 - 12 + m*o - 236*o**3 + 8*o**2 = 0 for o.
-3, -2, 1
Suppose -2583*h = -2586*h + 6. What is v in 20/3*v**3 - 20*v**h + 16 + 4*v**4 - 4/3*v**5 - 16/3*v = 0?
-2, -1, 1, 2, 3
Factor -468/5*m**2 - 1456/5*m + 384 + 4/5*m**3.
4*(m - 120)*(m - 1)*(m + 4)/5
Let t be 420/1904*16/(-18). Let r = 31/102 - t. Factor -3/4*b**3 + 0 + 0*b + r*b**2.
-b**2*(3*b - 2)/4
Let y(z) = -z**3 - 14*z**2 + 5*z - 50. Let f be y(-15). Determine g, given that -f*g - 367*g**2 - 289*g**2 + 156*g**2 - 5 = 0.
-1/10
Suppose -11*s = s - 96. Let y be s - 3/9*-3. Factor y - 2*c**2 - c**2 + 6*c + 0*c**2.
-3*(c - 3)*(c + 1)
Determine a, given that -102/11*a**2 + 8/11*a**4 + 108/11*a + 0 - 62/11*a**3 = 0.
-2, 0, 3/4, 9
Let p = -3418297/7 - -488329. Suppose j**3 + 0 + p*j + 17/7*j**2 = 0. What is j?
-2, -3/7, 0
Let g(v) = -v**2 + 1188*v + 20489. Let o be g(-17). Let 1/5*h**o - 2/5*h**3 - 1/5 + 0*h**2 + 2/5*h = 0. What is h?
-1, 1
Determine i so that 276*i - 2610 - 3/2*i**2 = 0.
10, 174
Let q = -11/5477 - -43981/82155. Let 18/5*l**3 + 14/15*l**5 + 0 - q*l + 8/15*l**2 + 52/15*l**4 = 0. What is l?
-2, -1, 0, 2/7
Let c = -85 - -97. Factor -c*i + 11*i**2 + 8*i + 5*i.
i*(11*i + 1)
Let s be 270/450 + 8/(-80). Factor -392 - s*z**2 + 28*z.
-(z - 28)**2/2
Let y(u) be the first derivative of -u**6/33 + 16*u**5/55 + 24*u**4/11 + 32*u**3/33 - 16*u**2 - 384*u/11 - 241. What is m in y(m) = 0?
-2, 2, 12
Let u(b) = 6*b**3 - 204*b**2 + 1166*b - 3072. Let o(w) = -w**3 + 34*w**2 - 204*w + 512. Let z(m) = -26*o(m) - 4*u(m). Factor z(g).
2*(g - 16)**2*(g - 2)
Let w(y) = -35*y**2 - 4518*y - 384. Let k be w(-129). Let -2*r**4 + 0 + 136/7*r**k - 100/7*r - 310/7*r**2 = 0. What is r?
-2/7, 0, 5
Suppose 45*h = 50*h - 2*k - 22, -3*k = -3*h + 24. Factor 38/11*b + 14/11*b**h - 12/11.
2*(b + 3)*(7*b - 2)/11
Let u(t) be the first derivative of -5*t**6/6 + 14*t**5 + 90*t**4 + 80*t**3/3 - 680*t**2 - 1440*t + 2001. Suppose u(v) = 0. Calculate v.
-2, 2, 18
Let i(y) be the second derivative of 3*y**7/7 - 23*y**6/3 - 301*y**5/5 - 370*y**4/3 - 136*y**3/3 + 3*y + 303. Solve i(h) = 0.
-2, -2/9, 0, 17
Let k(a) = a**2 + 688*a + 681. Let j(s) = 5*s**2 + 2755*s + 2723. Let q(f) = -2*j(f) + 9*k(f). Factor q(b).
-(b - 683)*(b + 1)
Let d(y) be the first derivative of -126 + 4/15*y**5 + 1/18*y**6 - 2/3*y**2 - 4/9*y**3 + 1/4*y**4 + 0*y. Factor d(q).
q*(q - 1)*(q + 1)*(q + 2)**2/3
Let j(c) be the first derivative of -2*c**5/55 + 845*c**4/22 + 154*