32). Let g be (28/(-10))/(9/(-5)). Solve -2/3*j**2 + 0 - r*j + 2/3*j**5 + 2/3*j**3 + g*j**4 = 0.
-1, 0, 2/3
Let u(r) be the third derivative of r**5/210 - 16*r**4/21 - 44*r**3/7 - r**2 + 33. Factor u(n).
2*(n - 66)*(n + 2)/7
Let g be (-6)/(-45)*10 - -1 - 4/12. Let z(m) be the first derivative of -20*m + 11 + 60*m**g - 55/3*m**3. Factor z(v).
-5*(v - 2)*(11*v - 2)
Suppose -168*u + 1436 = -95*u + 286*u. Solve -7/4*w**3 - 1/4*w**u + 7/2 + 23/4*w + 3/4*w**2 = 0 for w.
-7, -1, 2
Let o(u) be the third derivative of 7*u**5/60 + u**4/8 - 2*u**3/3 - 6*u**2 + u. Let h(q) = -26*q**2 - 12*q + 16. Let f(v) = 6*h(v) + 22*o(v). Factor f(i).
-2*(i - 1)*(i + 4)
Let j(t) be the second derivative of -t**4/6 + 121*t**3/3 + 372*t**2 + t - 417. Find g such that j(g) = 0.
-3, 124
Let d be 7/((-21)/66)*(-4)/8. Let a(l) = l**2 - 11*l + 2. Let y be a(d). Let 0*v**y + 2*v**2 - v**2 - 17*v + 13*v = 0. Calculate v.
0, 4
Let s(l) be the first derivative of -2*l**5/15 + 26*l**4 - 12776*l**3/9 + 7904*l**2 - 46208*l/3 + 581. Solve s(q) = 0.
2, 76
Suppose 749 = -52*r + 1520 - 667. Factor -4/5 - 1/10*g**r - 3/5*g.
-(g + 2)*(g + 4)/10
What is i in -75345 + 75413 + 70*i + 6*i**2 - 4*i**2 = 0?
-34, -1
Suppose 0 = -36694*x + 36756*x - 124. Factor 1/9*t**x - 2/9*t - 8/9.
(t - 4)*(t + 2)/9
Factor -2/17*v**2 + 2048/17 + 60*v.
-2*(v - 512)*(v + 2)/17
Let u = 380 + -343. Suppose 57 = 5*w + u. Factor 0 - 4/7*p**5 - 48/7*p**2 + 16/7*p**w - 36/7*p + 8/7*p**3.
-4*p*(p - 3)**2*(p + 1)**2/7
Let u = -437848/45 - -9730. Let z(r) be the first derivative of 1/9*r**4 - 1/27*r**6 + 17 + 0*r + u*r**5 + 0*r**2 + 0*r**3. Let z(j) = 0. Calculate j.
-1, 0, 2
Let f(g) = 24*g**3 + 21*g**3 + 161*g - 5 + 13*g**2 - 173*g. Let x(q) = 21*q**3 + 7*q**2 - 6*q - 2. Let s(v) = -2*f(v) + 5*x(v). Solve s(h) = 0 for h.
-1, 0, 2/5
Let s(q) be the third derivative of -q**8/4032 + q**7/630 - q**6/240 + 17*q**5/60 + 19*q**2 - 4. Let t(c) be the third derivative of s(c). Factor t(p).
-(p - 1)*(5*p - 3)
Let c(j) = 12*j**2 + 105*j. Let i(f) = -3*f**2 - 25*f. Let d(k) = 2*c(k) + 9*i(k). Suppose d(x) = 0. What is x?
-5, 0
Let t be (10374/(-609) - -17)*0. Suppose 0*l + t*l**3 + l**2 - 4/5 - 1/5*l**4 = 0. Calculate l.
-2, -1, 1, 2
Let i = -65208 - -65210. Solve 4/5*d - 2/5*d**i + 6/5 = 0.
-1, 3
Let y(b) be the second derivative of 2/3*b**3 - 4/15*b**6 - 6*b - 1/2*b**5 + 0*b**2 - 3 + 7/6*b**4. Determine j so that y(j) = 0.
-2, -1/4, 0, 1
Factor 0*c + 0 + 0*c**3 + 4/3*c**4 - 1/3*c**5 + 0*c**2.
-c**4*(c - 4)/3
Let d be (41/5 - -5)/((-4)/(-10)). Factor d*n - 18*n + 40*n - 14 + 5*n**2 + 64.
5*(n + 1)*(n + 10)
Let c(s) be the third derivative of -40*s**2 + 325/8*s**4 + 1/24*s**6 - 375/2*s**3 + 0*s + 0 + 29/12*s**5. Factor c(v).
5*(v - 1)*(v + 15)**2
Find u, given that 1052/5*u**3 + 1056/5*u + 0 - 2/5*u**4 + 422*u**2 = 0.
-1, 0, 528
Let v(d) be the third derivative of -2*d**2 - 1/21*d**5 - 4/21*d**4 + 0 + 8/21*d**3 - 13*d. Factor v(u).
-4*(u + 2)*(5*u - 2)/7
Suppose -4*c + 319 = 319. Let j(o) be the second derivative of 5/4*o**4 - 3/20*o**5 - 3*o**3 + 0 - 11*o + c*o**2. Suppose j(v) = 0. Calculate v.
0, 2, 3
Let j(n) = 5*n**2 + 13*n - 50. Let i be j(3). Suppose 2*b = -g + 6, i*g + 8 = 38*g. Factor 2/17 + 8/17*q**b - 10/17*q.
2*(q - 1)*(4*q - 1)/17
Let q(m) be the third derivative of -m**8/1344 + m**7/30 - 19*m**6/120 + 11*m**5/120 + 77*m**4/96 - 25*m**3/12 - 51*m**2 - 2. Let q(n) = 0. Calculate n.
-1, 1, 2, 25
Let u(r) = -3*r**2 - 2700 - 822 + 395 - 248*r + 0*r**2. Let i(q) = -20*q**2 - 1735*q - 21890. Let f(v) = -2*i(v) + 15*u(v). Factor f(d).
-5*(d + 25)**2
Determine k so that 18/5*k**2 - 3/5*k**5 + 0*k**4 + 0 + 0*k + 21/5*k**3 = 0.
-2, -1, 0, 3
Let j(q) = 29 + 23 + 21 - 72 + q. Let u(r) = 2*r**2 + 50*r + 48. Let n(g) = 2*j(g) - u(g). Factor n(z).
-2*(z + 1)*(z + 23)
Suppose 116*j - 138*j = 1870. Let q be (-2)/1 - 2 - (-91 - j). What is g in 45/2*g**q + 5/2*g**4 - 35/2*g - 25/2*g**3 + 5 = 0?
1, 2
Let y be (-8 - -8)/(6 - 3). Let o(f) be the second derivative of 3/5*f**5 + 2/3*f**3 - 4*f + y*f**2 + f**4 + 0 + 2/15*f**6. Factor o(j).
4*j*(j + 1)**3
Let s(v) be the first derivative of v**3 - 987*v**2/2 + 1962*v - 1482. What is j in s(j) = 0?
2, 327
Let k(a) be the second derivative of 7*a**6/900 + a**5/75 + 19*a**3/6 - 41*a. Let h(s) be the second derivative of k(s). Factor h(c).
2*c*(7*c + 4)/5
Suppose -19*h**3 + 46*h**3 - 28*h**3 - 6*h + 5*h**2 = 0. What is h?
0, 2, 3
Let v(x) be the second derivative of x**5/330 + x**4/22 - 7*x**3/33 + 197*x**2/2 + 7*x - 4. Let a(y) be the first derivative of v(y). Factor a(w).
2*(w - 1)*(w + 7)/11
Let h(w) be the third derivative of 0*w + 601/300*w**5 - 53/1050*w**7 + 10/3*w**3 - 1/560*w**8 - 1 - 11/40*w**6 - 53*w**2 - 4*w**4. Find f such that h(f) = 0.
-10, 1/3, 1
Let l(x) be the second derivative of x**4/6 + 688*x**3/3 + 687*x**2 + 1514*x. Solve l(v) = 0.
-687, -1
Solve -10/9*p**3 + 8/3*p + 0 + 16/9*p**2 - 2/9*p**4 = 0 for p.
-6, -1, 0, 2
Let w be 4/34 - (-174472)/136. Let p = -564 + w. Solve 699*u**4 - 10*u**2 + 16*u**3 - p*u**4 + 9*u**3 + 5*u**5 = 0 for u.
0, 1, 2
Let w(j) = 48*j**2 + 3344*j + 3331. Let l(b) = 28*b**2 + 1672*b + 1665. Let i(y) = 5*l(y) - 3*w(y). Factor i(u).
-4*(u + 1)*(u + 417)
Let d(a) be the first derivative of -a**4/16 - 2747*a**3/12 + 2044. Solve d(k) = 0 for k.
-2747, 0
Factor -536*q + 1777*q + 5753 + 2*q**2 - 2369 - 847*q.
2*(q + 9)*(q + 188)
Determine o so that 137/2 - 1/4*o**3 + 67/2*o**2 + 409/4*o = 0.
-2, -1, 137
Let -60*d - 169*d**2 - 277/2*d**3 + 0 - 31*d**4 - 3/2*d**5 = 0. Calculate d.
-15, -4, -1, -2/3, 0
Let v(u) be the first derivative of -244 + 8/9*u**2 + 2/9*u**3 - 2/3*u. Find w such that v(w) = 0.
-3, 1/3
Let c(z) be the third derivative of -z**8/784 + 5*z**7/147 - 247*z**6/840 + 86*z**5/105 + 6*z**4/7 + 77*z**2 + 6*z. Determine o, given that c(o) = 0.
-1/3, 0, 4, 9
Suppose -10*t + 160 = 6*t. Determine l so that 10*l + t*l + 2 + 3*l**2 - 15*l = 0.
-1, -2/3
Suppose -12*i - 817 = -877. Let o(q) be the third derivative of -1/20*q**i + 0*q + 0 + 0*q**3 + 3*q**2 - 1/8*q**4. Solve o(m) = 0 for m.
-1, 0
Factor 1/10*r**3 + 9/2*r - 27/5 - 6/5*r**2.
(r - 6)*(r - 3)**2/10
Let a(s) be the first derivative of -s**4/8 - 13*s**3/3 + 27*s**2/4 - 1053. Factor a(r).
-r*(r - 1)*(r + 27)/2
Let s be (0*13/260)/2. Let i(f) be the second derivative of 13/50*f**5 + 0 - 31*f + s*f**2 - 7/25*f**6 + 0*f**3 - 1/15*f**4. Suppose i(n) = 0. Calculate n.
0, 2/7, 1/3
Let y(u) be the first derivative of -u**4/24 - 9*u**3/2 + 41*u**2/6 - 1202. Determine q, given that y(q) = 0.
-82, 0, 1
Suppose -5*w - 38 = -f, -10 - 7 = -f + 2*w. Let j = 8/25 + 193/100. Find t such that 3/2*t + 3/4*t**4 + 0*t**f + 0 - j*t**2 = 0.
-2, 0, 1
Let a(s) be the first derivative of 2/5*s + 2/5*s**4 + 11/10*s**2 - 1/10*s**6 - 4/25*s**5 + 110 + 6/5*s**3. Let a(y) = 0. Calculate y.
-1, -1/3, 2
Let a(t) = t**4 + 2*t**3 - 3*t**2 + t + 7. Let s(b) = -28*b**4 - 172*b**3 - 744*b**2 - 1928*b - 1640. Let r(m) = -24*a(m) - s(m). Factor r(v).
4*(v + 2)**2*(v + 4)*(v + 23)
Let g(s) = -11*s**3 + 19*s**2 + 19*s. Let w(y) = -9*y**3 + 18*y**2 + 18*y. Let h be (-4 + 1/1)/(2/(-4)). Let v(k) = h*g(k) - 7*w(k). Let v(i) = 0. Calculate i.
-2, 0
Let p(g) be the first derivative of -2*g**3/27 - 25*g**2/3 + 308*g/9 + 1619. Find y, given that p(y) = 0.
-77, 2
Factor -270*v**2 - 260 + 0*v**3 + 0*v**3 + 525*v + 16*v**3 - 3*v**3 - 8*v**3.
5*(v - 52)*(v - 1)**2
Let i(m) be the third derivative of 5/216*m**4 + 1/540*m**5 + 0*m**3 + 0*m - 1 - 6*m**2. Let i(q) = 0. Calculate q.
-5, 0
Determine s so that -809/3 + 1/6*s**2 + 269/2*s = 0.
-809, 2
Let w be (1200/132)/(78/143). Let n(g) be the second derivative of -1/36*g**4 + 0 - w*g**2 + 10/9*g**3 + 18*g. Find a such that n(a) = 0.
10
Let i(d) be the third derivative of -d**5/180 - 19*d**4/12 + 116*d**3/9 + 7019*d**2. Factor i(b).
-(b - 2)*(b + 116)/3
Factor 507/4*k**2 + 55 + 9/4*k**3 + 166*k.
(k + 55)*(3*k + 2)**2/4
Suppose -a - q = -2, q = -2*a + 2*q + 4. Let j(y) = a - 1 - 5*y - 5 - y**2. Let k(z) = -2*z**2 - 11*z - 9. Let u(g) = 5*j(g) - 2*k(g). Factor u(b).
-(b + 1)*(b + 2)
Let r(x) be the first derivative of x**6/18 - x**5/5 - 31*x**4/12 - 65*x**3/9 - 9*x**2 - 16*x/3 + 598. What is j in r(j) = 0?
-2, -1, 8
Let t(d) be the second derivative of 2*d**6/105 - 68*d**5/35 + 127*d**4/7 - 372*d**3/7 