/3 + 17*k + 64. Let h(j) be the third derivative of c(j). Solve h(s) = 0 for s.
0, 1/5
Suppose 16*l = -3*l + 38. Let 4*a**l + 5*a - 6*a**2 + 27 + 19*a - a**2 = 0. What is a?
-1, 9
Let l be (88/(-1584) - (-2)/12)/((-2)/(-48)). Suppose -4*z + 12*z - 16 = 0. Factor -14/9*h**z - l - 88/9*h.
-2*(h + 6)*(7*h + 2)/9
Let w = 494889 - 3464220/7. Factor 486/7*u + 0 + w*u**4 + 135/7*u**2 - 48/7*u**3.
3*u*(u - 9)**2*(u + 2)/7
Let q(p) be the second derivative of 2*p**6/15 - 324*p**5 + 218159*p**4 + 2630884*p**3/3 + 8586*p. Let q(b) = 0. What is b?
-2, 0, 811
Let j(y) be the second derivative of -8*y**5/15 - 10*y**4/3 - 25*y**3/3 - 19*y**2/2 + 4*y + 6. Let a(t) be the first derivative of j(t). Factor a(x).
-2*(4*x + 5)**2
Let g(m) be the second derivative of -m**4/9 - 4*m**3 + 162*m**2 + 143*m - 3. Factor g(a).
-4*(a - 9)*(a + 27)/3
Let a = 1345/2013 - 1/671. Suppose 4*o - 245 + 237 = 0. Let -a*j**o + 0 + 0*j = 0. What is j?
0
Let t = -161 + 145. Let m be (20/70)/(5/((-420)/t)). Solve -3*x**2 - 3/2*x + m = 0.
-1, 1/2
Let b be (0 - 0) + (-12)/(-15774). Let h = b + 10510/7887. Factor -d**2 + h*d**4 - 16/3*d + 11/3*d**3 + 4/3.
(d - 1)*(d + 2)**2*(4*d - 1)/3
Let g = -1177517/5 - -234618. Let l = g + 887. Let 0 - 8/5*i + l*i**3 - 4/5*i**4 + 4/5*i**2 = 0. Calculate i.
-1, 0, 1, 2
Let a = 3664 - 3661. Let k(f) be the third derivative of 0 - 1/240*f**5 - 16*f**2 + 0*f**a - 5/96*f**4 + 0*f. Factor k(o).
-o*(o + 5)/4
Find v such that 4*v**3 - 76/3*v - 20*v**2 - 8 + 20/3*v**4 = 0.
-1, -3/5, 2
Let s(y) be the second derivative of y**6/75 - 33*y**5/25 + 1489*y**4/30 - 880*y**3 + 8000*y**2 - 41*y. Factor s(v).
2*(v - 25)**2*(v - 8)**2/5
Suppose -2*m + g = 0, 5*m - 83*g + 5 = -80*g. Solve -32/5 + 61/5*d**3 - 14/5*d**4 + 20*d - 116/5*d**2 + 1/5*d**m = 0 for d.
1, 2, 8
Let h(o) = -o**4 + 7*o**3 - o**2 - 9*o - 6. Let s(v) = 3 - 6*v**3 + 2*v**4 + 10*v + 7 - 3 - v**4. Let p = -234 - -237. Let t(n) = p*s(n) + 2*h(n). Factor t(z).
(z - 3)**2*(z + 1)**2
Let l(p) be the second derivative of p**5/45 + p**4/6 + 4*p**3/9 + 19*p**2 + 30*p - 2. Let f(x) be the first derivative of l(x). Factor f(d).
4*(d + 1)*(d + 2)/3
Let b(u) be the first derivative of 94 + 61/2*u**4 + 120/7*u - 8/21*u**6 - 36/7*u**5 - 34*u**3 - 176/7*u**2. Solve b(s) = 0.
-15, -1/2, 1/4, 2
Suppose -384/19 + 16/19*v + 20/19*v**2 - 2/19*v**3 = 0. What is v?
-4, 6, 8
Suppose -10*q + 5*t - 15 = -5*q, 4*q - 3 = t. Let c(j) be the third derivative of -1/6*j**4 + 5/6*j**3 - 1/60*j**5 + 0*j - 3*j**q + 0. Factor c(v).
-(v - 1)*(v + 5)
Let o(z) = z**3 - 15*z**2 - 33*z - 6. Let y be o(17). Find n such that 32*n**2 + 263*n**3 - y*n**4 - 239*n**3 - 4*n**5 - n**4 = 0.
-4, -1, 0, 2
Let w(v) be the first derivative of 5*v**4/26 - 66*v**3/13 - 24*v**2/13 + 160*v/13 + 4218. Let w(t) = 0. Calculate t.
-1, 4/5, 20
Let q be (-270)/315 + (3/(-63))/((-5)/405). Determine i so that -i + 0 - 11*i**q + 19/3*i**2 + 3*i**4 = 0.
0, 1/3, 3
Let h(s) = -s**3 - 3*s**2 + 3*s - 2. Suppose 5*i + 20 = 0, -3*o + i + 2 = 10. Let c be h(o). Find t, given that -8 - 5*t - t**c + t + 5*t**2 = 0.
-1, 2
Let b = -29770 + 29772. Let 0 + 12/5*i**b + 32/5*i - 2/5*i**3 = 0. What is i?
-2, 0, 8
Let l(h) be the third derivative of h**5/10 - 785*h**4/12 - 262*h**3/3 + 334*h**2. Factor l(d).
2*(d - 262)*(3*d + 1)
Let j be -54 + (1311/23 - 1). Factor 2888/5 - 152/5*i + 2/5*i**j.
2*(i - 38)**2/5
Factor 27/2*x**2 + 0 - 15/2*x**3 - 13/2*x + 1/2*x**4.
x*(x - 13)*(x - 1)**2/2
Let j(f) = 3*f**2 + 157*f - 984. Let n be j(-58). Let u(l) be the second derivative of 25*l - 1/27*l**3 + 0*l**n + 0 - 1/108*l**4 + 1/180*l**5. Factor u(w).
w*(w - 2)*(w + 1)/9
Determine x so that -2312/19*x**2 - 656/19*x + 108/19*x**3 + 578/19*x**4 + 14/19*x**5 + 0 = 0.
-41, -2, -2/7, 0, 2
Let l(q) be the first derivative of 11*q**2 - 23*q + 50 + 1/3*q**3. Factor l(b).
(b - 1)*(b + 23)
Let t = -2123932 + 2123932. Let 1/5*m**5 + t*m + 6/5*m**2 + 0 + 1/5*m**3 - 4/5*m**4 = 0. Calculate m.
-1, 0, 2, 3
Let h(t) = t**2 + 7173*t + 50162. Let s be h(-7). Find m such that 0*m - 2/3*m**3 + 0*m**2 + s = 0.
0
Let q(d) be the third derivative of -2*d**2 + 1/60*d**5 + 0*d**3 + 1/120*d**6 + 30 - 1/210*d**7 - 1/336*d**8 + 0*d + 0*d**4. Determine i so that q(i) = 0.
-1, 0, 1
Let o = 1 - -15. Find p such that 2*p**2 + 16*p - 12 - o*p**3 - 248*p**4 + 252*p**4 + 6*p**2 = 0.
-1, 1, 3
Let u(n) be the third derivative of 0*n + 1/100*n**5 - 3 + 10*n**2 + 3/5*n**3 - 1/8*n**4. Factor u(j).
3*(j - 3)*(j - 2)/5
Let r(d) = -20*d**2 + 6012*d - 4524036. Let b(j) = -29*j**2 + 6010*j - 4524038. Let q(c) = 2*b(c) - 3*r(c). Factor q(o).
2*(o - 1504)**2
Let -2 + 172*f**2 + 271/2*f + 69/2*f**3 = 0. What is f?
-4, -1, 1/69
Let r(t) = 512*t**2 + 2*t - 3. Let w be r(1). Factor w*c - 4*c**3 + 4*c**3 - 6*c**2 - 466*c - 3*c**3 + 108.
-3*(c - 4)*(c + 3)**2
Suppose 40 = -5*m - 3*n, 4*m + 12*n = 7*n - 32. Let y be 1 + m/12 - (-24)/9. Suppose -33*b**3 + 6*b**2 + 6*b + 18*b**y - 33*b**2 = 0. Calculate b.
-2, 0, 1/5
Let o = 1515 - 1200. Let d be 249/o + 15/105. Factor 0*p**2 + 2/15*p**3 - d*p - 4/5.
2*(p - 3)*(p + 1)*(p + 2)/15
Factor 13/8*d**4 + 81*d**2 + 16 - 79/4*d**3 - 116*d.
(d - 4)**3*(13*d - 2)/8
Let o = 1856179/3 - 618726. Determine h, given that o*h**3 - 8/3*h**2 + 4*h + 0 = 0.
0, 2, 6
Let k(r) be the second derivative of 3/20*r**5 + 0 + 3*r**2 + 180*r - 3/4*r**4 - 1/2*r**3 + 1/10*r**6. Factor k(f).
3*(f - 1)**2*(f + 1)*(f + 2)
Let x = -32496 + 32498. Find g, given that -3/2*g - g**x - 1/2 = 0.
-1, -1/2
Let b(f) = -f**3 - 61*f**2 - 118*f - 270. Let g be b(-59). Let u be g/2295 + 44/85. Suppose -2*z + 0 + u*z**2 = 0. Calculate z.
0, 5
Find c, given that 0 + 28*c**2 - 46/3*c**3 + 0*c + 2/3*c**4 = 0.
0, 2, 21
Let b(o) be the first derivative of 0*o**2 - 3 + 1/9*o**3 + 1/9*o**4 + 1/30*o**5 - 12*o. Let z(w) be the first derivative of b(w). Let z(f) = 0. What is f?
-1, 0
Factor 1/12*m**3 + 0 - 27*m - 323/12*m**2.
m*(m - 324)*(m + 1)/12
Let z(u) be the second derivative of -2 - 3/2*u**5 + 0*u**3 + 0*u**4 + 5/6*u**6 - 25*u - 5/42*u**7 + 0*u**2. Factor z(n).
-5*n**3*(n - 3)*(n - 2)
Let r be -10 - (17 - 4641/147). Determine j so that 96/7*j**2 + 18/7*j**3 + r + 104/7*j = 0.
-4, -2/3
Let l(g) be the second derivative of -4*g**7/49 + 82*g**6/105 - 97*g**5/35 + 97*g**4/21 - 82*g**3/21 + 12*g**2/7 + g + 235. Suppose l(u) = 0. Calculate u.
1/3, 1/2, 1, 2, 3
Let g(n) be the second derivative of n**7/21420 + 11*n**6/6120 - n**5/85 + n**4/6 - 34*n**2 - 76*n. Let f(x) be the third derivative of g(x). Factor f(t).
2*(t - 1)*(t + 12)/17
Let g be (-26)/(-5)*(-795)/(-24)*-3. Let k = g + 517. Factor 1/4*i + 1/4 - k*i**3 - 1/4*i**2.
-(i - 1)*(i + 1)**2/4
Determine l so that 32/3*l**3 + 0 + 34/3*l**2 - 2/3*l**4 + 0*l = 0.
-1, 0, 17
Let s(d) be the first derivative of 7/2*d**6 - 48*d - 72*d**2 + 6 + 40*d**3 + 24*d**4 - 99/5*d**5. Factor s(b).
3*(b - 2)**3*(b + 1)*(7*b + 2)
Suppose 15 = t + 5*p, -6*t + 33*p - 30*p - 9 = 0. Factor t - 1/6*a + 1/3*a**3 - 1/6*a**5 + 0*a**4 + 0*a**2.
-a*(a - 1)**2*(a + 1)**2/6
Let g(a) be the third derivative of -a**7/70 + 41*a**6/60 - 107*a**5/12 + 29*a**4/6 + 170*a**3/3 + 524*a**2. Find b, given that g(b) = 0.
-2/3, 1, 10, 17
Let i = -514 - -34953/68. Let f = i + 21/17. Suppose f*n**5 + 75/4*n**3 + 0 + 45/4*n**2 + 35/4*n**4 + 0*n = 0. Calculate n.
-3, -1, 0
Let t(f) = -f**3 - 2*f**2 - f. Let r(j) = -j**4 - 17*j**3 - 277*j - 53*j**2 - 2*j**3 - 250 + 22*j**2 - 78*j**2. Let l(y) = -3*r(y) + 6*t(y). Factor l(s).
3*(s + 2)*(s + 5)**3
Let c(n) be the second derivative of -n**4/21 - 1618*n**3/21 - 1259*n - 2. Let c(a) = 0. Calculate a.
-809, 0
Let q be (18/(-21))/(2/(-7)). Suppose -4*f + 5*j - 27 = -5*f, -9 = q*f - 3*j. Solve -7*r**2 + 12 + 3*r**f - 4 + 2*r + 2*r = 0 for r.
-1, 2
Let p(g) be the first derivative of g**6/30 - 3*g**5/16 - g**4/12 + 4*g - 49. Let b(h) be the first derivative of p(h). Solve b(q) = 0.
-1/4, 0, 4
Let l(y) be the third derivative of y**6/600 - 11*y**5/75 - 32*y**4/15 + 2048*y**3/3 + 5875*y**2. Factor l(v).
(v - 32)**2*(v + 20)/5
Suppose 42 = -10*c + 8*c. Let g = 9 + c. Let v(z) = z**2 - z. Let a(h) = 16*h**2 - 4*h. Let o(u) = g*v(u) + a(u). Find w such that o(w) = 0.
-2, 0
Determine b, given that -10659*b**3 - 5*b**5 + 370*b**4 + 3459*b**3 + 402*b**2 + 12558*b**2 = 0.
0, 2, 36
Suppose -3*k + 35 - 20 = 0. Let q be 