 41*l**2 + 2/105*l**6 + 5/21*l**3 + 3/35*l**5 + 4/21*l**4 + 1/735*l**7. Solve q(n) = 0.
-5, -1
Let o(p) be the third derivative of 0 + 64*p**2 - 23/8*p**4 - 15/2*p**3 - 1/40*p**6 + 0*p - 9/20*p**5. Factor o(h).
-3*(h + 1)*(h + 3)*(h + 5)
Let k(t) be the first derivative of t**6/30 + 2*t**5/5 + 2*t**4 + 16*t**3/3 - 64*t**2 - 2*t + 32. Let w(m) be the second derivative of k(m). Factor w(b).
4*(b + 2)**3
Suppose -54*b + 27*p = -52*b + 131, -17 = -b - 3*p. Factor 8/17*o**b - 46/17*o - 12/17.
2*(o - 6)*(4*o + 1)/17
Suppose -19465*l + 20719*l - 139*l**2 - 1089 - 13*l**3 + 31*l**2 - 41*l**3 - 3*l**4 = 0. What is l?
-11, 1, 3
Factor 87374 + 2/7*z**2 + 316*z.
2*(z + 553)**2/7
Let m(q) be the third derivative of q**5/140 - 69*q**4/14 - 277*q**3/14 - 934*q**2. Suppose m(z) = 0. What is z?
-1, 277
Let u(j) be the first derivative of j**6/2 + 174*j**5/5 + 126*j**4 + 166*j**3 + 165*j**2/2 - 1319. Factor u(l).
3*l*(l + 1)**3*(l + 55)
Let -6/5*u**3 - 8/5*u**2 + 1/5*u**5 + 0*u**4 - 3/5*u + 0 = 0. Calculate u.
-1, 0, 3
Let -33/5*k**2 + 98/5*k + 3/5 = 0. Calculate k.
-1/33, 3
Let l(p) be the second derivative of p**6/720 - 11*p**5/240 - p**3 - p**2 - 3*p + 27. Let y(u) be the second derivative of l(u). Factor y(o).
o*(o - 11)/2
Suppose -4 = -2*k + 2. Let s be (-5)/((-3435)/4809*70/4). Find x, given that 24*x**k - 50*x + 0 - 20*x**2 - 28/5*x**4 + s*x**5 = 0.
-1, 0, 5
Let t be (-5448)/4994 + (10/(-11) - -4). Factor 16/13*d**t - 2/13*d**3 + 0 - 32/13*d.
-2*d*(d - 4)**2/13
Determine g, given that -11/2 + 5/4*g**3 + 79/4*g - 31/2*g**2 = 0.
2/5, 1, 11
Let h = 57/2272 - -5055/2272. Suppose 0 - h*m**2 - 5/4*m**3 + 7/4*m**5 - 1/2*m + 9/4*m**4 = 0. Calculate m.
-1, -2/7, 0, 1
Let s = 303 - 159. Let i be 12/21*840/s. Factor -5/6*d**2 - 10/3 - i*d.
-5*(d + 2)**2/6
Let o = 6088/21455 + 6/3065. Factor -2/7*j - 10/7 + 10/7*j**2 + o*j**3.
2*(j - 1)*(j + 1)*(j + 5)/7
Let i = 177530 - 710119/4. Factor -1/4*g**3 - i*g**2 + 1/4*g**5 + 1/4*g**4 + 0*g + 0.
g**2*(g - 1)*(g + 1)**2/4
Let d(i) = -501 + 148 + 9*i - 23*i + 230. Let s be d(-9). Factor -1/7*q**s + 0 + 6/7*q + 5/7*q**2.
-q*(q - 6)*(q + 1)/7
Let j(y) = 20*y**3 - 14*y**2 - 12*y - 18. Let w(g) = 17*g**3 - 10*g**2 - 12*g - 15. Let l(a) = -5*j(a) + 6*w(a). Suppose l(v) = 0. Calculate v.
-6, 0, 1
Let t(f) = -5*f**3 + 12*f**2 + 13*f - 27. Let c be t(-7). Let q = c - 15294/7. Determine w, given that -w - q*w**4 + 3/7*w**2 - 6/7 + 3/7*w**3 = 0.
-1, 2, 3
Let v be 2/6 + (-16)/(-6). Let f = 20957/28589 - 15/2599. What is i in f - 6/11*i**2 + 8/11*i + 2/11*i**4 - 4/11*i**v = 0?
-1, 2
Let o(g) be the first derivative of g**6/6 + 43*g**5/5 + 323*g**4/4 - 3511*g**3/3 - 3912*g**2 - 4032*g + 856. Let o(c) = 0. Calculate c.
-24, -1, 7
Let y(u) = 19*u**3 + 229*u**2 - 230*u + 55. Let g be y(-13). Suppose -5/3*r**g + 0 - 135*r + 30*r**2 = 0. What is r?
0, 9
Suppose 13*k - 22*k + 63 = 0. Solve -30*y - 7*y**3 + 40*y + 1 + 4*y**5 - k*y - y**2 = 0.
-1, -1/2, 1
Let h be -54*16/(-288) - (-20)/(-24)*3. Factor 1/2*r**5 + 0 + 0*r - 2*r**2 + 2*r**4 - h*r**3.
r**2*(r - 1)*(r + 1)*(r + 4)/2
Solve 16/15*z**4 - 128/15 + 2/15*z**5 - 32/15*z**2 - 32/3*z + 32/15*z**3 = 0 for z.
-4, -2, 2
Let i(m) be the third derivative of m**6/30 - m**5 + 59*m**4/6 - 30*m**3 + 2217*m**2. Suppose i(o) = 0. Calculate o.
1, 5, 9
Let w be 12/40*(2/2 - (-232)/(-696)). Factor 24/5 - w*f**3 + 2/5*f - f**2.
-(f - 2)*(f + 3)*(f + 4)/5
Let r(h) = 3 - 8*h + h**2 + 3*h + 9*h. Let x be r(-5). Factor -3*l**3 - 4 + x*l**2 - 10*l**2 + 6*l**2 - 4*l + 7*l**3.
4*(l - 1)*(l + 1)**2
Let d be ((-17)/((-255)/(-18)))/(6/(-80)). Let s be d + (3/(-9) - 20/(-6)). Factor 6*j - 19 - j**2 - 10*j + s.
-j*(j + 4)
Let f(s) be the second derivative of -s**6/225 + 8*s**5/25 + 5*s**4/3 + 152*s**3/45 + 17*s**2/5 - 11214*s. Factor f(n).
-2*(n - 51)*(n + 1)**3/15
Let h(b) be the third derivative of b**8/84 + 2*b**7/21 + b**6/5 - 4*b**5/15 - 4*b**4/3 + 1858*b**2. Factor h(q).
4*q*(q - 1)*(q + 2)**3
Suppose -15 = -h - 5*c, 2*h + 4*c + 7 = 5*h. Suppose 0 = -0*m + 24*m - 7 + 7. What is f in 5/4*f**h + m*f - 5/4*f**3 + 5 - 35/4*f**2 + 15/4*f**4 = 0?
-2, -1, 1
Let j(n) be the first derivative of -n**5/180 - n**4/12 + 7*n**3/18 - 229*n**2/2 - 124. Let b(u) be the second derivative of j(u). Solve b(r) = 0.
-7, 1
Suppose -2661 + 7715 = 14*l. Suppose -16 = -l*r + 353*r. Factor 4/7*n - 1/7*n**r + 0.
-n*(n - 4)/7
Let z be (-12)/9*(897/78 - 13). Solve 0*h + 0 - 1/10*h**z = 0 for h.
0
Factor 54/11*b**5 - 944/11*b - 3078/11*b**4 - 4232/11*b**2 + 0 - 6300/11*b**3.
2*b*(b - 59)*(3*b + 2)**3/11
Let q = 27697 + -27695. Let h(o) be the first derivative of -8*o**q - 2*o**3 + 17/2*o**4 - 26/5*o**5 - 14 + o**6 + 8*o. Determine z so that h(z) = 0.
-2/3, 1, 2
Let t(f) be the first derivative of 4*f**2 - 63 - 1/6*f**3 + 17/2*f. Factor t(j).
-(j - 17)*(j + 1)/2
Let c be ((-1)/(-10))/((7/21434)/(-1)). Let q = -306 - c. Factor 0*a + q*a**2 + 0.
a**2/5
Let c be ((-4)/6)/((-10)/(-15)). Let u be (-1)/((-44)/8 + 4 - c). Factor -14*g**u - 248 + 248 + 10*g**3 + 4*g.
2*g*(g - 1)*(5*g - 2)
Let q = 149 - 133. Solve -10*l + q*l - 3*l - 4*l**3 - 6*l**2 + 6 + l**3 = 0 for l.
-2, -1, 1
Let j(c) = 17*c**2 - 2752*c + 632041. Let o(x) = 41*x**2 - 5503*x + 1264081. Let w(h) = 5*j(h) - 2*o(h). Factor w(l).
3*(l - 459)**2
Let v = 599 - 188. Suppose -2*x = -v + 407. Factor 0 + 2/3*m**3 - 2/3*m + 1/3*m**x - 1/3*m**4.
-m*(m - 2)*(m - 1)*(m + 1)/3
Let b(x) be the second derivative of -3*x**5/100 + 61*x**4/10 - 384*x**3 + 2160*x**2 + 1467*x. Factor b(z).
-3*(z - 60)**2*(z - 2)/5
Let -120*v**5 + 10*v**3 + 243*v**4 + 25*v**2 - 63*v**3 + 307*v**4 + 298*v**3 = 0. What is v?
-1/4, -1/6, 0, 5
Let u = -44 - -42. Let o be (-13 - -9)/(u/3). Find p, given that 12*p - 7*p - 4 + 4*p**2 + o + p**3 = 0.
-2, -1
Suppose 0 = 2*l - 13 - 17. Suppose 56 = l*r + 26. Let -81/7*q - 3/7*q**3 + 27/7*q**r + 81/7 = 0. What is q?
3
Let j(z) = 823*z + 1648. Let y be j(-2). Determine k, given that 2*k + 6 - 1/2*k**y = 0.
-2, 6
Let o = 177767/26356 + 34/6589. Factor 1/2*t**2 + o*t - 29/4.
(t - 1)*(2*t + 29)/4
Let t(a) be the first derivative of -a**8/336 + 2*a**7/105 + a**6/24 + 99*a**2/2 - 152. Let w(v) be the second derivative of t(v). Find p such that w(p) = 0.
-1, 0, 5
Let i(l) be the second derivative of l**5/50 - 4*l**3/5 + 16*l**2/5 - 2168*l. Factor i(g).
2*(g - 2)**2*(g + 4)/5
Let y be (55/(-10) + -5)/((-6)/8). Let -245*u**2 + 11*u**3 + 60 + 35*u**4 + 14*u**4 - u**3 - y*u**4 + 140*u = 0. What is u?
-3, -2/7, 1, 2
Let w(j) = -3*j**2 - 849*j + 6987. Let m be w(8). Factor 4/5*z + 4/5*z**m - 1/5*z**4 - 1/5 - 6/5*z**2.
-(z - 1)**4/5
Let l(x) be the first derivative of -108*x + 4*x**4 + 4/5*x**5 - 164 - 72*x**2 - 8*x**3. Factor l(w).
4*(w - 3)*(w + 1)*(w + 3)**2
Let u(s) be the second derivative of -s**8/336 - s**7/168 + s**6/36 - s**3/3 + 7*s**2/2 + 164*s. Let y(m) be the second derivative of u(m). Factor y(d).
-5*d**2*(d - 1)*(d + 2)
Let r = -89940 - -89944. Determine y so that 0 - 2/3*y**r + 16/3*y**2 - 8*y + 2/3*y**3 = 0.
-3, 0, 2
Let h = 5130 + -5130. Let d(q) be the third derivative of 0*q - 7*q**2 - 3/200*q**6 + h + 1/30*q**3 - 7/120*q**4 + 1/20*q**5. Determine g, given that d(g) = 0.
1/3, 1
Let c(z) be the second derivative of 0 + 10*z - 8*z**2 - 1/30*z**6 + 5/2*z**3 + 17/12*z**4 - 3/4*z**5. Find f, given that c(f) = 0.
-16, -1, 1
Let m(s) = -9*s**3 - 62*s**2 + 101*s - 18. Let a(p) = -17*p**3 - 125*p**2 + 201*p - 37. Let t(f) = -6*a(f) + 11*m(f). Determine w so that t(w) = 0.
-24, 1/3, 1
Suppose -11168 = -51*s - 11066. What is o in -5/4*o**3 + 0*o + 0 - 5*o**s = 0?
-4, 0
Let z(r) be the third derivative of -r**7/105 + 11*r**6/30 - 47*r**5/10 + 47*r**4/3 + 352*r**3/3 - 3*r**2 + 1876. Solve z(c) = 0 for c.
-1, 4, 8, 11
Let q(r) be the first derivative of 2/3*r**3 - 13 + 1/6*r**2 - 1/6*r**4 + 1/18*r**6 - 1/5*r**5 - r. Suppose q(a) = 0. What is a?
-1, 1, 3
Factor -3344*r - 13*r**2 + 16 + 5*r**2 + 4*r**2 - 3356.
-4*(r + 1)*(r + 835)
Let s(c) be the third derivative of -c**8/24 - 43*c**7/105 - 213*c**6/140 - 619*c**5/210 - 10*c**4/3 - 16*c**3/7 + c**2 + 65. Solve s(b) = 0.
-3, -1, -4/7
Let r be 32/(-1520)*-19*45. Let g(p) be the third derivative of 3/2*p**4 - 45*p**2 + 0 - 1/20*p**5 - r*p**3 + 0*p. Factor g(x).
-3*(x - 6)**2
Let i = 958373/1970 + 16/985. Let v = -486 + i. Suppose -v*r**2 + 