**4 - 332*g**4 - 24 - 16*g**3 - 331*g**4 + 74*g - 327*g**4 - g**2 = 0. Calculate g.
-2, 1/3, 3, 4
Let a(r) = -2*r + 13. Let m be a(4). Let k be 1/(m*(-2)/(-550)). Factor 25*c**4 + 2*c - k*c**3 - 2*c + 20*c**3 - c + 11*c**2.
c*(c - 1)*(5*c - 1)**2
Let t(x) be the third derivative of x**6/60 - 5*x**5/3 + 229*x**4/12 - 60*x**3 - 5*x**2 + 85*x. Factor t(a).
2*(a - 45)*(a - 4)*(a - 1)
Let d(y) be the first derivative of 19 + 1/6*y**4 - 1/30*y**6 - 25/2*y**2 + 0*y**5 + 0*y**3 + 0*y. Let f(a) be the second derivative of d(a). Factor f(z).
-4*z*(z - 1)*(z + 1)
Let z be ((-108)/117)/((-90)/52). Let u(g) be the first derivative of -45 + 1/10*g**4 + 4/5*g**2 + 0*g + z*g**3. Solve u(i) = 0 for i.
-2, 0
Let u(i) be the second derivative of -i**7/210 + i**6/40 + 3*i**5/20 + 5*i**4/24 + 67*i**2/2 + 58*i. Let n(s) be the first derivative of u(s). Solve n(v) = 0.
-1, 0, 5
Let u(n) = 15*n**3 + 609*n**2 + 18330*n + 119268. Let j(g) = 8*g**3 + 304*g**2 + 9165*g + 59633. Let z(y) = -9*j(y) + 5*u(y). Solve z(w) = 0.
-47, -9
Suppose -14*w - 888 = -17*w + 3*z, -5*w - 3*z + 1488 = 0. Factor -3*p**3 - 3*p**2 - 243 - w*p + 79*p**2 - 133*p**2.
-3*(p + 1)*(p + 9)**2
Let 11139976/7*z**2 - 2795600/7*z - 6458812/7*z**3 - 26944/7*z**4 - 4*z**5 - 1858592/7 = 0. What is z?
-482, -2/7, 1
Let q(w) be the second derivative of -w**4/4 + 1455*w**3 + 8733*w**2/2 - 3669*w. Factor q(i).
-3*(i - 2911)*(i + 1)
Factor 256*k - 49152 - 1/3*k**2.
-(k - 384)**2/3
Let a(r) = -10*r**2 - 2836*r. Let x be a(0). Factor x*v**2 + 4/9*v**3 - 2/9*v**5 - 2/9*v + 0*v**4 + 0.
-2*v*(v - 1)**2*(v + 1)**2/9
Let x(z) be the first derivative of z**4/18 + 4*z**3/27 - z**2/3 - 1900. Factor x(f).
2*f*(f - 1)*(f + 3)/9
Suppose 0 = 2*y + h - 17, -8 - 14 = -2*h. Find k such that 0 + 0*k + 3/8*k**4 + 1/2*k**y + 1/8*k**2 = 0.
-1, -1/3, 0
Suppose -16 - 649 = -19*o. Let g be 1*(3 - 0) + o/(-15). Determine i so that 1/2*i**5 - 5/2*i**2 - 4/3*i + 11/6*i**4 + 5/6*i**3 + g = 0.
-2, -1, 1/3, 1
Let -460 + 4*b + 38*b**2 - 12*b - 14*b**4 + 6*b**3 + 436 + 2*b**5 = 0. What is b?
-1, 1, 2, 6
Let z(s) be the third derivative of -s**8/756 - 64*s**7/945 - 143*s**6/135 - 32*s**5/9 - 25*s**4/6 + s**2 + 20*s - 9. Suppose z(n) = 0. Calculate n.
-15, -1, 0
Let c(n) be the third derivative of 13*n**8/28 - 106*n**7/15 + 478*n**6/15 - 832*n**5/15 + 80*n**4/3 + 32*n**3 + 145*n**2 - 3*n. Let c(q) = 0. Calculate q.
-2/13, 2/3, 1, 2, 6
Find c, given that -88 + 21*c**2 - 4*c**4 - 297*c**2 + 382816*c**3 - 382916*c**3 - 268*c = 0.
-22, -1
Let q = -2219 + 2222. Let p(z) be the second derivative of -2*z**2 + 0 - z**q - 1/6*z**4 + z. Solve p(l) = 0 for l.
-2, -1
Let o(f) be the first derivative of 0*f + 1/9*f**4 + 44 + 2/45*f**5 + 4/9*f**2 - 14/27*f**3. Let o(h) = 0. Calculate h.
-4, 0, 1
Let b(o) be the second derivative of o**6/6 + 7*o**5/4 - 10*o**4/3 - 18*o + 11. Factor b(y).
5*y**2*(y - 1)*(y + 8)
Suppose 0 = 2*t - 4*g - 107 + 95, 0 = 4*t + 4*g - 96. Let q(f) be the first derivative of -2*f - 3/4*f**2 - t - 1/12*f**3. Factor q(a).
-(a + 2)*(a + 4)/4
Let o(g) be the first derivative of 7*g**5/5 + 22*g**4/3 + 8*g**3/3 - 48*g**2 + 13*g - 62. Let y(r) be the first derivative of o(r). Factor y(j).
4*(j + 2)**2*(7*j - 6)
What is m in 9/5*m**2 + 63*m - 3/5*m**3 - 1617/5 = 0?
-11, 7
Factor 3 + z**3 + 23/3*z**2 - 35/3*z.
(z - 1)*(z + 9)*(3*z - 1)/3
Let d be 38/14 - 2 - 272/(-68). Let s = -53/35 + d. Factor 0*i + 4/5*i**2 - s.
4*(i - 2)*(i + 2)/5
Let k = -330 + 1128. Determine f, given that -797*f**2 + k*f**2 + 2*f - 8*f = 0.
0, 6
Let b(w) be the third derivative of -w**7/210 - 7*w**6/30 - 87*w**5/20 - 135*w**4/4 - 411*w**2 + 1. Find u such that b(u) = 0.
-10, -9, 0
Factor -4*y**3 - 13760961*y**2 + 2974 + 13759865*y**2 - 2164*y + 290.
-4*(y - 1)*(y + 3)*(y + 272)
Let v(m) be the second derivative of 0*m**2 + 0 - 5/12*m**4 + 57*m + 40/3*m**3. Solve v(a) = 0 for a.
0, 16
Let x be (-3*13/3510)/((-4)/12). Let l(h) be the third derivative of 0 - 4*h**3 + 11/6*h**4 - 2/5*h**5 + 12*h**2 + x*h**6 + 0*h. Factor l(o).
4*(o - 3)*(o - 2)*(o - 1)
Let q be ((-9)/4)/(5 + -8). Let j(z) be the first derivative of 2*z**3 - 3/2*z**2 + 0*z + 18 - q*z**4. Suppose j(b) = 0. What is b?
0, 1
Let v(x) be the second derivative of 0*x**2 + x**3 - 83*x + 0 - 1/8*x**4. Find b such that v(b) = 0.
0, 4
Let o(f) = 55*f**5 + 22439*f**4 + 16803*f**3 + 4201*f**2 + 350*f + 45. Let k(a) = -a**5 - a**4 - a**3 + 5. Let d(s) = 36*k(s) - 4*o(s). Factor d(x).
-4*x*(x + 350)*(4*x + 1)**3
Factor 50 - 12*i**2 + 2/5*i**4 + 8/5*i**3 - 40*i.
2*(i - 5)*(i - 1)*(i + 5)**2/5
Factor -24*b**3 - 910*b + 168*b**2 - 895*b + 6450 + 28*b**3 - 175*b - 1250.
4*(b - 5)**2*(b + 52)
Let l(h) be the third derivative of 13*h**2 - 2/315*h**7 - 7/360*h**6 + 11/90*h**5 + 19/72*h**4 + 0*h - 1/3*h**3 + 0. Suppose l(k) = 0. What is k?
-3, -1, 1/4, 2
Suppose 67*h + 14 = 74*h. Factor 27*i**2 - 11*i**h - 7*i**2 - 6*i**3 - 8 + 5*i**2.
-2*(i - 2)*(i - 1)*(3*i + 2)
Suppose -165*d = 4*t - 169*d - 68, -65 = -t + 5*d. Factor 238128/5*r**2 + 522/5*r**4 - 1405536/5 + 16896/5*r**3 + 6/5*r**t + 1149984/5*r.
6*(r - 1)*(r + 22)**4/5
Let q(n) be the second derivative of n**8/3920 - 3*n**7/490 + 11*n**6/840 + 3*n**3/2 + n**2 - 118*n. Let m(l) be the second derivative of q(l). Factor m(h).
3*h**2*(h - 11)*(h - 1)/7
Suppose -9*j**2 - 40*j**4 - 938*j**3 + 1748*j**3 - 7*j**2 - 974*j**3 = 0. What is j?
-4, -1/10, 0
Let r be 176/(-10) - (1488/48 - 49). Find j such that 32/5 + 0*j - r*j**2 = 0.
-4, 4
Let j = 23 - 81. Let o = 61 + j. Factor -3*l + l**o + l**3 + l**3.
3*l*(l - 1)*(l + 1)
Factor -2*v**3 + 4*v + 0 + 34/3*v**2.
-2*v*(v - 6)*(3*v + 1)/3
Let x = 5105 + -5082. Let m(i) be the first derivative of -2/5*i**3 - 1/10*i**6 - x + 0*i**2 + 6/25*i**5 + 3/20*i**4 + 0*i. Find c, given that m(c) = 0.
-1, 0, 1, 2
Let j(m) = 2*m**2 - 4*m + 8. Let w be j(7). Let 9 - 62*a + 4*a**2 - 94*a + 65 + w = 0. What is a?
1, 38
Let v(w) be the second derivative of w**5/8 + 355*w**4/12 + 235*w**3/4 - w - 100. Factor v(u).
5*u*(u + 1)*(u + 141)/2
Let i(a) be the first derivative of -a**3/5 - 654*a**2/5 + 1311*a/5 + 147. Factor i(b).
-3*(b - 1)*(b + 437)/5
Let 3561/4*t**3 + 3/4*t**5 - 8460*t - 11181/4*t**2 - 4725 - 195/4*t**4 = 0. Calculate t.
-1, 7, 30
Let t = 72954 - 72950. Factor t*v + 0 - 10/3*v**2 - 2/3*v**3.
-2*v*(v - 1)*(v + 6)/3
Let r(a) be the first derivative of 41/27*a**3 + 1/12*a**4 + 46/9*a**2 + 103 + 44/9*a. Let r(u) = 0. What is u?
-11, -2, -2/3
Factor 64/7*g + 2/7*g**3 - 8 - 22/7*g**2.
2*(g - 7)*(g - 2)**2/7
Let w be 116/3*(4437/290 - 15) - 8. Let w + 2/5*v**2 - 4*v = 0. Calculate v.
1, 9
Suppose -7*w - 633 = -668. Suppose w*x + 4*t = 20 - 1, -5 = -5*t. Find p, given that 3/8*p**x - 3/8*p - 1/8*p**4 + 1/4 - 1/8*p**2 = 0.
-1, 1, 2
Let w(l) be the third derivative of -l**5/420 + 29*l**4/168 + 31*l**3/21 - 7*l**2 + 37*l. Find a, given that w(a) = 0.
-2, 31
What is a in -22/19*a**4 + 22/19*a**2 + 2/19*a**5 + 0 - 20/19*a + 18/19*a**3 = 0?
-1, 0, 1, 10
Let b(s) = -7*s**2 + 11*s + 14. Let p be b(-8). Let j = -520 - p. Suppose -15/4*w**3 - 15/4*w**4 + 0 + 15/4*w**j + 9/4*w**5 + 3/2*w = 0. What is w?
-1, -1/3, 0, 1, 2
Suppose j - 15 = -2*v, 5*j = 5*v + 827 - 752. Determine f so that v + 2/5*f**2 + 8/5*f = 0.
-4, 0
Let z = -726431/84 + 8648. Let w(t) be the second derivative of -z*t**7 + 0*t**2 - 12*t - 1/30*t**6 - 1/40*t**5 + 0*t**4 + 0 + 0*t**3. Solve w(d) = 0.
-1, 0
Let b(n) be the third derivative of -n**5/20 + 599*n**4/12 - 133*n**3/2 - 5519*n**2. Factor b(x).
-(x - 399)*(3*x - 1)
Factor -1339*v + 1/2*v**2 + 1792921/2.
(v - 1339)**2/2
Let k be -2 - (20/(-8))/(2/4). Determine j, given that -k*j**3 + 90*j**2 + 501 - 501 = 0.
0, 30
Let t be 1 - (45/39)/3. Let j = -236265 + 3071447/13. Factor j*d - t + 10/13*d**2.
2*(d + 1)*(5*d - 4)/13
Let u(w) be the first derivative of -23/3*w**3 + 0*w**2 - 1/6*w**5 + 1/72*w**6 + 5/8*w**4 + 0*w + 22. Let c(i) be the third derivative of u(i). Factor c(t).
5*(t - 3)*(t - 1)
Let a(f) be the first derivative of -f**6/180 + f**5/12 - 7*f**4/24 + 73*f + 103. Let d(b) be the first derivative of a(b). Determine c, given that d(c) = 0.
0, 3, 7
Suppose 0 = -3*n + 8*n - 20. Let v be 4 + n*(-1)/(7 - 6). Let -o**3 + v + 0*o + 1/3*o**2 = 0. What is o?
0, 1/3
Let n(u) = u + 19. Let q be n(-16). Factor 5*r**2 + 0 + 0*r**q - 5*r**3 + 10