**2 + 2*l**5 - 20*l**4.
l**2*(l - 2)**2*(l + 1)
Let o(h) = 4*h + 26. Let i be o(-6). Suppose -26 - 6 - 12*l**4 + 48*l - 108*l**3 - 12*l**5 + 76*l**4 + 40*l**i = 0. Calculate l.
-2/3, 1, 2
Determine j, given that 1/7*j**2 + 4/7*j**3 - 1/7*j**4 - 4/7*j + 0 = 0.
-1, 0, 1, 4
Let x(a) be the second derivative of 0*a**3 + 4*a - 1/20*a**5 + 0 + 5/2*a**2 + 1/8*a**4. Let m(w) be the first derivative of x(w). Find u, given that m(u) = 0.
0, 1
Let k(l) be the second derivative of 0*l**4 + 0*l**2 + 1/120*l**6 - 1/40*l**5 + 21*l + 1/168*l**7 + 0*l**3 + 0. What is v in k(v) = 0?
-2, 0, 1
Let c(m) be the third derivative of m**5/20 + 9*m**4/8 + 9*m**3 - m**2 - 286*m. Find b, given that c(b) = 0.
-6, -3
Let a be (-106)/(-9) + (-4)/(-18). Let x(o) = -22*o**4 - 8*o**3 - 2*o**2 - 4*o. Let u(l) = l**4 + l**3 + l**2. Let k(p) = a*u(p) + x(p). Factor k(b).
-2*b*(b - 1)*(b + 1)*(5*b - 2)
Factor -2*u - 1/4*u**2 + 12.
-(u - 4)*(u + 12)/4
Let m(b) be the first derivative of -2*b**6 + 8*b**5/5 + 49*b**4 + 304*b**3/3 + 40*b**2 - 111. Let m(q) = 0. Calculate q.
-2, -1/3, 0, 5
Let r(p) be the second derivative of -2*p**7/21 - 4*p**6/5 - 6*p**5/5 + 20*p**4/3 + 26*p**3 + 36*p**2 - 5*p + 9. Find u such that r(u) = 0.
-3, -1, 2
Let d(w) = -w**3 + 5*w**2 - 5*w + 5. Let x be d(4). Suppose -2*y + 5 - x = 0. What is h in -3*h**2 + 0*h**2 + 4*h**2 + y*h**3 - 3*h**2 = 0?
0, 1
Factor -16/3 + 1/3*r**2 + 2*r.
(r - 2)*(r + 8)/3
Let a = -85/28 + 821/252. Let 0 + 8/9*r**2 + 10/9*r**4 - a*r**5 + 0*r - 16/9*r**3 = 0. What is r?
0, 1, 2
Factor 1/6*h**5 - 512/3 - 448/3*h + 136/3*h**2 + 83/3*h**3 + 23/6*h**4.
(h - 2)*(h + 1)*(h + 8)**3/6
Let w = 21551/24 - 5387/6. Suppose -w*g**3 + 0 + 1/8*g + 0*g**2 = 0. Calculate g.
-1, 0, 1
Let n = 1663 + -7622/5. Let h = 7663/55 - n. Suppose -h + 24/11*z - 18/11*z**2 = 0. Calculate z.
2/3
Let m(w) be the third derivative of 0*w**3 + 0 - w**2 + 0*w - 11/30*w**5 + 1/4*w**4. Let m(k) = 0. What is k?
0, 3/11
Let y(h) = 0*h**3 + 2*h**4 - h**4 - 2*h + 0*h**4 + 3 + 6*h**3. Let a(m) = -m**4 - m. Let w(l) = -4*a(l) - y(l). Find p, given that w(p) = 0.
-1, 1
Find q such that -58/13*q + 192/13 - 2/13*q**2 = 0.
-32, 3
Let q(s) = -83*s - 828. Let n be q(-10). Suppose 0 - 4/7*b**3 + 0*b + 2/7*b**n = 0. What is b?
0, 1/2
Let x(p) = -9*p**2 + 25*p - 19. Let o be (-2)/(-2 - 8/(-5)). Let d(n) = 22*n**2 - 62*n + 48. Let r(g) = o*d(g) + 12*x(g). Factor r(w).
2*(w - 3)*(w - 2)
Let q(n) be the second derivative of -n**6/195 + n**5/65 + n**4/26 - 4*n**3/39 - 4*n**2/13 - 132*n + 2. Find l, given that q(l) = 0.
-1, 2
Let k(w) be the third derivative of 9*w**2 + 0*w + 1/3*w**3 - 3/20*w**5 + 0 + 7/24*w**4 - 19/120*w**6 + 1/28*w**8 + 1/30*w**7. Solve k(j) = 0 for j.
-1, -1/4, 2/3, 1
Suppose l = -4*i + 12, 0 = 4*i - l - 0*l - 4. Let p be i/(-3)*3*-1. Let p*g**5 - 4*g**4 - 3*g**2 + 7*g**4 - 3*g**3 + g**5 + 0*g**3 = 0. What is g?
-1, 0, 1
Let 2*a**2 - a**3 + 2*a**2 - a**5 - 15*a**3 + 9*a**3 + 8*a**3 - 4*a**4 = 0. Calculate a.
-4, -1, 0, 1
Factor 8*t**2 - 7*t - 32 - 6*t**2 + 5*t + 14*t.
2*(t - 2)*(t + 8)
Let x = -332 - -209. Let u = -859/7 - x. Determine z, given that u*z**2 + 0 - 2/7*z = 0.
0, 1
Let l(a) be the third derivative of -a**10/90720 + a**9/15120 - a**8/10080 + 43*a**4/24 - 18*a**2. Let d(k) be the second derivative of l(k). Factor d(g).
-g**3*(g - 2)*(g - 1)/3
Let h(y) = 102*y**2 - 98*y + 24. Let o(j) = 101*j**2 - 99*j + 22. Let w(b) = 6*h(b) - 7*o(b). Suppose w(t) = 0. What is t?
2/19, 1
Let r(p) be the third derivative of 0*p**4 + 0*p**3 - 9/100*p**5 + 0*p + 0 + 17*p**2 - 1/350*p**7 - 3/100*p**6. Suppose r(u) = 0. What is u?
-3, 0
Let l(r) be the first derivative of 3*r**5/2 - 291*r**4/8 + 19*r**3 - 73. Find y, given that l(y) = 0.
0, 2/5, 19
Let u(g) = g - 4. Let a be u(6). Let s = -221 - -224. Suppose o**a - o**4 - 4*o**5 + 3*o**5 + 3*o**3 + o**3 - 3*o**s = 0. What is o?
-1, 0, 1
Let 0 + 0*y**2 + 26*y**4 + 2*y**5 + 0*y + 169/2*y**3 = 0. Calculate y.
-13/2, 0
Let a(c) be the first derivative of -2*c**6/3 + 24*c**5 + 896. Factor a(p).
-4*p**4*(p - 30)
Let x(n) = n**3 + 111*n**2 - 1947*n + 11667. Let r(q) = -2*q**3 - 112*q**2 + 1948*q - 11668. Let j(w) = -3*r(w) - 4*x(w). Solve j(h) = 0.
18
Let o = -13697/5 - -2740. Factor 6/5*v + o + 3/5*v**2.
3*(v + 1)**2/5
Suppose 7 = 3*o - 5*h + 11, -o - 2 = -2*h. Factor 5/4*a - 1/2 - a**o + 1/4*a**3.
(a - 2)*(a - 1)**2/4
Let y = -7793/3 - -2599. Suppose l**3 + 0*l - y*l**4 + 1/3*l**2 + 0 = 0. Calculate l.
-1/4, 0, 1
Let h be 2*15*(-1)/(-6). Solve 4*j - j - 4 - h*j + 2*j**2 = 0.
-1, 2
Factor -7*y**2 + 4*y**3 - 17*y**2 + 36*y**2 - 16.
4*(y - 1)*(y + 2)**2
Let l(j) be the first derivative of 8*j**5/15 - 17*j**4/12 + 2*j**3/9 - 102. Factor l(d).
d**2*(d - 2)*(8*d - 1)/3
Let p(u) be the first derivative of -3*u**4/22 + 4*u**3/3 - 29*u**2/11 - 60*u/11 + 419. Determine z, given that p(z) = 0.
-2/3, 3, 5
Let v be 5592/120 - 4/10*-1. Let i = v - 44. Suppose 14/3*u**2 + 0 + 4/3*u - 8/3*u**i = 0. Calculate u.
-1/4, 0, 2
Let o(g) be the first derivative of g**5/40 - 12*g**2 + 1. Let k(j) be the second derivative of o(j). Factor k(t).
3*t**2/2
Factor 25*c**2 + 309*c - 3*c**4 + 28*c**3 - 3*c**4 - 293*c - 65*c**2.
-2*c*(c - 2)**2*(3*c - 2)
Let u(y) be the third derivative of y**7/210 - y**6/60 - 13*y**5/60 - 5*y**4/12 + 202*y**2. Let u(p) = 0. Calculate p.
-2, -1, 0, 5
Suppose -35*a - 595 = -0*a - 665. Factor 6/5*g + 21/5*g**a + 0 + 9/5*g**4 + 24/5*g**3.
3*g*(g + 1)**2*(3*g + 2)/5
Let l(j) = -j**3 - 13*j**2 - 23*j + 5. Let z be l(-5). Let t = -76 - z. Factor 1323/2*m**t - 12*m + 0 + 231*m**3 - 30*m**2.
3*m*(7*m + 2)**2*(9*m - 2)/2
Factor -8/5 + 2/5*t**3 + 6/5*t**2 + 0*t.
2*(t - 1)*(t + 2)**2/5
Let w(a) be the second derivative of 11*a**4/12 + 5*a**3/6 + 11*a. Let l(j) = 5*j**2 + 2*j. Let i(n) = 5*l(n) - 2*w(n). Factor i(t).
3*t**2
Suppose 2 = d - 0*d + 5*u, -4*d - 13 = -u. Let o = d + 6. Factor -16*b - 8*b**4 - 49*b**5 - 160*b**4 - 88*b**o + 0*b**2 + 96*b**2.
-b*(b + 2)**2*(7*b - 2)**2
Let t be (5/2)/((55/9)/11). Let -t*p**2 + 93/2*p + 33 = 0. Calculate p.
-2/3, 11
Suppose 4*c - 4*s - 36 = 0, -2*c = 5*s + 22 - 5. Find b, given that -b**2 + 3/2*b**3 - 1/2*b**c + 0*b + 0 = 0.
0, 1, 2
Let u(h) be the third derivative of h**8/112 + 2*h**7/35 + h**6/8 + h**5/10 + 18*h**2 + 2*h. Determine w, given that u(w) = 0.
-2, -1, 0
Suppose -3*b = 7*b. What is v in b*v - 5*v - 3*v + 16 - 15*v**2 + 16*v**2 = 0?
4
Let k(z) be the second derivative of -1/4*z**2 + 1/80*z**5 + 0*z**4 - 1/8*z**3 - 20*z + 0. Determine d, given that k(d) = 0.
-1, 2
Let c(k) be the first derivative of -k**7/42 - 5*k**2 - 22. Let r(d) be the second derivative of c(d). Determine v so that r(v) = 0.
0
Let r(z) be the third derivative of -2/5*z**5 - 3/8*z**4 + 0*z**3 - 11/60*z**6 + 0*z + 0 - 1/336*z**8 - 4/105*z**7 + 39*z**2. Factor r(x).
-x*(x + 1)**2*(x + 3)**2
Let g(v) = -5*v**4 - 100*v**3 + 215*v**2 - 104*v - 6. Let l(b) = -45*b**4 - 900*b**3 + 1935*b**2 - 935*b - 55. Let r(q) = -55*g(q) + 6*l(q). Factor r(t).
5*t*(t - 1)**2*(t + 22)
Let p = -7 + 9. Let g be (7/((-7)/4))/2 + p. Factor 3/7*f**4 - 3/7*f**3 + 0*f + g + 1/7*f**2 - 1/7*f**5.
-f**2*(f - 1)**3/7
Let h(d) = -d**3 - 64*d**2 - 1026*d. Let z(a) = a. Let s(x) = h(x) + 2*z(x). Factor s(o).
-o*(o + 32)**2
Let b(d) be the third derivative of d**10/30240 - d**8/4032 - d**5/5 - 7*d**2. Let v(o) be the third derivative of b(o). Factor v(t).
5*t**2*(t - 1)*(t + 1)
Let j = 656/55 + -1913/165. Find l such that 1 - 1/6*l**3 - j*l**2 + 5/6*l = 0.
-3, -1, 2
Let b(c) be the first derivative of c**6/18 + 2*c**5/15 - 4*c**4/3 - 2*c**3/9 + 5*c**2/2 - 142. Suppose b(u) = 0. Calculate u.
-5, -1, 0, 1, 3
Let x(t) = -280*t**3 + 1898*t**2 - 1516*t - 62. Let o(f) = 93*f**3 - 632*f**2 + 506*f + 21. Let k(a) = -10*o(a) - 3*x(a). Suppose k(w) = 0. What is w?
-2/45, 1, 6
Solve 512/3 + 20/3*b**3 + 1/3*b**5 - 128/3*b**2 + 4*b**4 - 64*b = 0.
-8, -4, 2
Let f(i) = 9*i**3 + 6*i**2 + 6. Let k(t) = -t**4 + 8*t**3 + 5*t**2 + 8. Let p(u) = -4*f(u) + 3*k(u). Factor p(b).
-3*b**2*(b + 1)*(b + 3)
Let z be (-86)/(-14) + (-1)/(-7) + 2967/(-483). Determine s so that 2/7 + z*s - 1/7*s**3 - 2/7*s**2 = 0.
-2, -1, 1
Let p(a) = -a**2 + 4*a - 11. Let g be p(6). Let s = -17 - g. Factor s - 2*u**3 + 10*u**2 + 78*u - 92*u + 0.
-2*(u - 3)*(u - 1)**2
Let v = 24 + -84. Let o be (-90)/v 