 j*h**2 = 0.
-2, -1, 0, 1
Let d = -3 - -5. Suppose -2*y = -t - 9, 0 = y + 5*t - 8 - d. Let z(u) = 22*u**2 + 13*u + 1. Let r(i) = 11*i**2 + 7*i. Let a(l) = y*r(l) - 2*z(l). Factor a(g).
(g + 1)*(11*g - 2)
Let p(g) be the second derivative of 0 + 1/14*g**7 + 2400*g**5 + 89*g - 160000*g**4 + 6400000*g**3 - 20*g**6 - 153600000*g**2. Factor p(n).
3*(n - 40)**5
Determine l, given that -2100*l + 22*l**3 + 260*l**2 + 52*l**3 - 137*l**3 + 58*l**3 - 36000 = 0.
-8, 30
Let p(k) be the second derivative of k**6/960 - k**5/320 - k**4/32 - 2*k**3/3 - k**2 + 4*k + 14. Let f(q) be the second derivative of p(q). Factor f(a).
3*(a - 2)*(a + 1)/8
Let o(m) be the second derivative of 1/4*m**4 + 1/20*m**5 - 2*m**2 + 0 + 0*m**3 + 164*m. Factor o(p).
(p - 1)*(p + 2)**2
Factor 0 + 9/2*y - 1/6*y**3 - y**2.
-y*(y - 3)*(y + 9)/6
Factor -1/3*t**4 + 28/3*t**2 - 20*t + 0 + t**3.
-t*(t - 6)*(t - 2)*(t + 5)/3
Let j be 1 + (-5)/(-17)*-3. Let t = -90453 - -90453. Factor j*f**3 + 18/17*f + 12/17*f**2 + t.
2*f*(f + 3)**2/17
Let i be 2/(((-54)/(-495))/(-3)). Let s be 1*-1 + -5*11/i. Factor -2/5*a**4 + s - 2/5*a**3 + 0*a + 0*a**2.
-2*a**3*(a + 1)/5
Let s(m) = 2*m**2 + 3*m - 21. Let z be s(3). What is d in 6*d**2 + 221*d**3 + 8 - 223*d**3 - z - 6*d = 0?
1
Let f(c) = -17*c + 11*c - 2 - 20*c - 6*c**3 + 18*c**2. Let l(v) = -13*v**3 + 35*v**2 - 53*v - 5. Let q(t) = -5*f(t) + 2*l(t). Factor q(a).
4*a*(a - 3)*(a - 2)
Let z(o) be the first derivative of -320*o**4/3 + 80*o**3/3 - 5*o**2/2 + 18*o - 66. Let g(i) be the first derivative of z(i). Find v, given that g(v) = 0.
1/16
Solve -212/3*x + 100/3*x**2 + 36 + 4/3*x**3 = 0.
-27, 1
Determine p so that -18/17*p - 2/17*p**2 - 28/17 = 0.
-7, -2
Let i(u) be the third derivative of -131*u**2 - 5/12*u**3 + 0*u + 1/480*u**6 + 17/96*u**4 + 0 - 1/30*u**5. Determine h, given that i(h) = 0.
1, 2, 5
Let d(m) be the first derivative of -1/30*m**4 + 0*m**2 + 13*m - 1/25*m**5 + 16 + 0*m**3 + 1/25*m**6. Let b(z) be the first derivative of d(z). Factor b(w).
2*w**2*(w - 1)*(3*w + 1)/5
Let h(y) be the second derivative of -76 - 1/20*y**5 + 3*y**2 - 1/6*y**3 - 1/3*y**4 + 2*y. Factor h(w).
-(w - 1)*(w + 2)*(w + 3)
Let k(h) be the second derivative of h**8/840 - 2*h**6/75 + 4*h**4/15 - 119*h**2/2 + 12*h + 6. Let b(p) be the first derivative of k(p). Factor b(m).
2*m*(m - 2)**2*(m + 2)**2/5
Let o(t) be the third derivative of t**6/140 - t**5/105 - 5223*t**2. Suppose o(v) = 0. What is v?
0, 2/3
Let o(f) be the second derivative of 305*f + 0 - 1/12*f**4 - 25/6*f**3 + 0*f**2. Factor o(l).
-l*(l + 25)
Let d be (-48)/14 + 9/21. Let m be d + 1 + (-40)/(-8). Let -u**4 + 3*u**2 - 3*u**3 + 4*u**4 + 9*u**m + 0*u**3 = 0. What is u?
-1, 0
Let s(m) be the first derivative of -3*m**5/25 + 1206*m**4/5 - 969624*m**3/5 + 389788848*m**2/5 - 78347558448*m/5 - 45. Factor s(v).
-3*(v - 402)**4/5
Let t = -48695/2 - -23448. Let z = t + 900. Let 3/2*b - 1/2*b**4 - 3/2*b**3 - z*b**2 + 1 = 0. Calculate b.
-2, -1, 1
Let w(l) be the first derivative of l**3/12 - 602*l**2 + 1449616*l + 3616. Factor w(q).
(q - 2408)**2/4
Let y = -277 - -279. Solve -61*d + 15*d + 63 - 2*d**y - 15 = 0.
-24, 1
Let x(h) = 7*h**4 - 71*h**3 - 450*h**2 + 333*h + 5. Let w(j) = -5*j**4 + 72*j**3 + 451*j**2 - 334*j - 4. Let r(v) = -10*w(v) - 8*x(v). Solve r(c) = 0 for c.
-13, 0, 2/3
Let n(p) = -p**3 + 8*p**2 + 23*p - 23. Let w be n(10). Suppose -2*m**3 + 36 - w*m - 8*m**2 - 9*m + 22*m = 0. What is m?
-3, 2
Let k(f) be the second derivative of f**4/4 + 762*f**3 + 870966*f**2 + 981*f + 2. Factor k(y).
3*(y + 762)**2
Let x be (34 + (-1245)/105 - (-2)/(-14))/4. Factor -1/4*m**2 + 23/4*m - x.
-(m - 22)*(m - 1)/4
Let p be 60 - (20 + -6)/(-2). Let a = p + -64. Factor 0 + 0*l**4 + 0*l**2 + 3/7*l**5 + 3/7*l - 6/7*l**a.
3*l*(l - 1)**2*(l + 1)**2/7
Factor -51 + 2 + 45 + 1566*k + 174*k**2 - 509*k**2 - 447*k**2.
-2*(k - 2)*(391*k - 1)
Let j(t) be the second derivative of 2*t**6/15 - 82*t**5/5 + 660*t**4 - 3600*t**3 - 432000*t**2 + 1844*t. Let j(i) = 0. Calculate i.
-8, 30
Let m(g) = -30*g**3 + 1140*g**2 + 1265*g - 2340. Let h(q) = -5*q**3 + 190*q**2 + 211*q - 390. Let b(f) = 35*h(f) - 6*m(f). Find d, given that b(d) = 0.
-2, 1, 39
Let m(k) be the second derivative of -k**4/120 + 173*k**3/10 - 269361*k**2/20 - 3*k - 221. Suppose m(t) = 0. What is t?
519
Let w(f) = f**3 - 27*f**2 + 95*f - 40. Let l be w(23). Factor l + 18 - 32 + 6*y + 87*y + 4*y**3 + 153*y**2 + 23*y**3.
3*(y + 5)*(3*y + 1)**2
Suppose 0 = -p + 11 - 9. Let b(q) = 15*q. Let x be b(p). Factor -34*k**2 + x - 4*k - k - 5*k**3 + 14*k**2 + 0*k**3.
-5*(k - 1)*(k + 2)*(k + 3)
Let q be ((-45)/(-18))/(3/6). Let y(o) be the first derivative of -1 - 20/3*o**2 - 2/15*o**q - 4*o**3 - 7/6*o**4 - 16/3*o. What is i in y(i) = 0?
-2, -1
Let l = 193700/21 - 64548/7. Let -14/3*w**3 - 26/3*w - 2/3*w**4 - l - 10*w**2 = 0. What is w?
-4, -1
Suppose -7*m = r + 28, 2*m + 30 - 22 = 4*r. Let b(v) be the first derivative of r*v**2 + 0*v**3 - 1/24*v**4 + 0*v - 16. Factor b(a).
-a**3/6
Suppose -c = -25*f + 53*f - 31, 0 = -c + 5*f - 2. Factor -7/11*r**2 + 0*r - 3/11*r**4 + 0 - 2*r**c.
-r**2*(r + 7)*(3*r + 1)/11
Let b = 139405/278858 - -12/139429. Solve 1/2*n**2 - 2 - b*n**3 + 2*n = 0.
-2, 1, 2
Let n(j) be the second derivative of j**6/90 + 7*j**5/60 - 13*j**4/9 + 46*j**3/9 - 8*j**2 - 554*j. Solve n(k) = 0 for k.
-12, 1, 2
Suppose -5*h - c + 4216 = 0, 0 = -3*h - 8*c + 9*c + 2536. Let x = -4218/5 + h. Factor -x*v**3 + 0 + 0*v + 2*v**2.
-2*v**2*(v - 5)/5
Let l(q) be the second derivative of q**8/2880 + 19*q**7/7560 + q**6/270 - q**5/90 + 4*q**4 - 11*q + 4. Let u(d) be the third derivative of l(d). Factor u(s).
(s + 1)*(s + 2)*(7*s - 2)/3
Let i(l) = l**5 - l**3. Let w(v) = -4*v**5 + 3*v**4 - 6*v**3 - 7*v**2 + 6*v. Let n(b) = -6*i(b) - w(b). Determine y so that n(y) = 0.
-3, -1, 0, 1/2, 2
Let i(x) be the first derivative of -13/2*x + 3*x**2 + 1/6*x**3 - 84. Factor i(a).
(a - 1)*(a + 13)/2
Let y(o) be the first derivative of 3/2*o**2 + 38 - 6/5*o**5 - 15/8*o**4 + 0*o + 7/2*o**3. Let y(a) = 0. What is a?
-2, -1/4, 0, 1
Determine t so that -656 - 2223*t**2 + 2243*t**2 + 389*t - 523*t + 3410*t = 0.
-164, 1/5
Factor 0 + 9/2*d**3 - 3*d**2 + 3/4*d**4 - 18*d.
3*d*(d - 2)*(d + 2)*(d + 6)/4
Let p(h) be the first derivative of -h**5/10 - 23*h**4/2 - 493*h**3 - 9251*h**2 - 121945*h/2 - 1103. Find t, given that p(t) = 0.
-29, -5
Let k(n) be the second derivative of -n**4/6 - 86*n**3/3 + 176*n**2 + 27*n + 15. Factor k(j).
-2*(j - 2)*(j + 88)
Factor 671 - 346*n**2 - 128*n + 91 - 22 + 344*n**2 - 238*n.
-2*(n - 2)*(n + 185)
Suppose 2*j - 22 = 2*a - 7*a, 4*j - 4 = 0. Suppose -2*h - a*z + 12 = 0, -11*h + 2 = -12*h + 2*z. Factor 0 + 1/4*r**3 + 0*r - 1/4*r**h.
r**2*(r - 1)/4
Suppose -482/3*r - 320 - 1/3*r**2 = 0. Calculate r.
-480, -2
Let i(n) be the second derivative of -5*n**4/36 - 90*n**3 - 21870*n**2 - 4360*n. Factor i(o).
-5*(o + 162)**2/3
Factor -369/5*d**2 + 0 + 366/5*d + 3/5*d**3.
3*d*(d - 122)*(d - 1)/5
Let v be (-6)/10 - 13610649/(-795990). Let g = 2/2041 + v. Determine z, given that 27/2*z**3 + 0 + g*z**2 + 3*z = 0.
-1, -2/9, 0
Let r(u) be the third derivative of u**7/630 - 2*u**6/15 + 59*u**5/36 - 13*u**4/3 - 328*u**3/9 + 501*u**2. Let r(f) = 0. What is f?
-1, 4, 41
Let h(n) be the second derivative of 1/50*n**5 - n + 20 + 1/30*n**4 - 3/5*n**3 - 9/5*n**2. Let h(s) = 0. Calculate s.
-3, -1, 3
Let b(v) be the third derivative of v**7/840 - v**6/10 + 25*v**5/16 - 119*v**4/12 + 26*v**3 - v**2 - 535. What is n in b(n) = 0?
1, 4, 39
Let h = -14 - -16. Suppose h*d - 18 = -2*b, b = 7*d - 2*d - 15. Find s such that s + 6*s**d - 5*s**2 + 4*s - 5*s**3 + 6*s**4 - 7*s**4 = 0.
-1, 0, 1
Let q(j) = 45*j**3 - 36*j**2 - 201*j + 39. Let y(f) = -9*f**3 + 7*f**2 + 40*f - 8. Let d be 147/(-392) + 342/16. Let l(w) = d*y(w) + 4*q(w). Factor l(c).
-3*(c - 2)*(c + 2)*(3*c - 1)
Let m(w) = -2*w**3 + 12*w**2 + 66*w - 392. Let i be m(6). Find u such that 0 - 58/7*u**3 + 48/7*u**2 + 18/7*u**i - 8/7*u = 0.
0, 2/9, 1, 2
Let k(z) be the second derivative of -z**5/4 - 275*z**4/6 - 545*z**3/6 + 6220*z. Factor k(j).
-5*j*(j + 1)*(j + 109)
Suppose 14*w - 6240 = -w. Suppose -8*i**3 - 3 + 412*i - w*i + 1 + 14*i**2 = 0. What is i?
-1/4, 1
Let q(k) be the second derivative of -k**4/6 - 29*k**3/3 - 198*k**2 - 5*k - 225. Factor q(r).
-2*(r + 11)*(r + 1