1)**4
Let z(x) be the second derivative of x**5/4 - 5*x**4 - 305*x**3/6 - 120*x**2 - 2900*x. Suppose z(q) = 0. Calculate q.
-3, -1, 16
Let w be 26/12 + 0 + 40/48. Suppose 9801*v + 255*v**2 + 65331 + 20205 + 22275 + 3*v**w + 42*v**2 = 0. What is v?
-33
Let m(l) be the third derivative of 0*l - 1/480*l**5 + 1/12*l**3 + 0*l**4 + 21*l**2 + 0. Find j such that m(j) = 0.
-2, 2
Let m(p) be the third derivative of -p**7/70 + 17*p**6/200 - 3*p**5/100 - 9*p**4/40 + 408*p**2. Determine c, given that m(c) = 0.
-3/5, 0, 1, 3
Let q be 7*(-2)/(-21) - 122/(-6). Let r = q + -18. Suppose -5*h**3 - 1 - 2*h**2 + 5*h + 4*h**4 - 2*h**2 + 0*h**r + h**2 = 0. Calculate h.
-1, 1/4, 1
Let u(o) be the second derivative of o**5/5 - 506*o**4/3 + 2018*o**3/3 - 1008*o**2 + o - 808. Factor u(l).
4*(l - 504)*(l - 1)**2
Let c(n) = 13*n - 137. Let x be c(11). Let l be ((-86)/(-10) - x) + 4/10. Suppose 3*m**2 + 6 - 3/2*m**l + 21/2*m = 0. Calculate m.
-1, 4
Let y = -41 - -44. Let y + 5*x**3 - 5*x**3 - 22*x**2 - 3*x**2 + 5*x**4 + 17 = 0. Calculate x.
-2, -1, 1, 2
Let w(v) = 7*v**4 + 11*v**3 + 11*v**2 - 5*v + 6. Let l(a) = -145*a**4 - 230*a**3 - 230*a**2 + 105*a - 125. Let t(n) = 6*l(n) + 125*w(n). Factor t(b).
5*b*(b - 1)**2*(b + 1)
Let o = 4 + 0. Let v = -3647 - -3651. Factor -6*b + 6*b**2 + 26 + 2*b**3 - 2*b**v - 30 + o*b.
-2*(b - 2)*(b - 1)*(b + 1)**2
Let r = 6647/15 + -2204/5. Factor -1/3*t**3 + 3 + r*t**2 + 17/3*t.
-(t - 9)*(t + 1)**2/3
Suppose 0 = 5*u - 5*y - 100, y - 3*y = -4*u + 80. Let t be (30/u)/((-3)/(-6)). Factor -t*w**2 - 21 + 4*w**2 + 14 + 6.
(w - 1)*(w + 1)
Find c such that 148*c**3 - 175*c**3 + 5 - 4*c**4 - 7*c - 2*c - 45*c**2 + 8*c**2 = 0.
-5, -1, 1/4
Determine o so that -6807043 + 10302279 + 4*o**2 + 13541809 + 17185455 - 23400*o = 0.
2925
Let z(s) be the third derivative of 0 + 0*s**3 - 1/2*s**4 + 0*s**6 + 0*s - 7/30*s**5 + 1/105*s**7 + 85*s**2. Solve z(v) = 0.
-2, -1, 0, 3
Let w(g) be the second derivative of 13*g**6/45 - 79*g**5/60 + g**4/12 - 2944*g. What is i in w(i) = 0?
0, 1/26, 3
Suppose -18 = -7*q + 5*q. Suppose 6*x = q + 3. Factor -23 + 0*t**2 + 23 + x*t - t**2.
-t*(t - 2)
Let r be (-11 - -13) + (-265)/35 + 6 + 104/280. Factor -2/3 + r*h**2 - 2/15*h.
2*(h - 1)*(6*h + 5)/15
Let z(a) be the first derivative of 8/7*a**3 - 5*a**2 + 7/20*a**5 + 0*a + 28 + a**4. Let c(r) be the second derivative of z(r). Solve c(s) = 0.
-4/7
Let h be (-826)/11564*112/(-3). Factor 20/3*x + h - 2/3*x**2 - 5/3*x**3.
-(x - 2)*(x + 2)*(5*x + 2)/3
Suppose -49*q + a + 4 = -50*q, -a = 3*q. Let r(d) be the first derivative of 16/9*d + 1/27*d**3 + 4/9*d**q + 20. Determine w, given that r(w) = 0.
-4
Let a(w) be the third derivative of -w**5/60 + 127*w**4/3 - 129032*w**3/3 + 826*w**2. Solve a(k) = 0.
508
Let s(w) be the second derivative of -5*w**4/12 + 175*w**3/6 - 165*w**2 - 41*w + 13. Factor s(u).
-5*(u - 33)*(u - 2)
Let r(w) be the second derivative of -1/3*w**4 + 1/20*w**5 - 7*w**2 + w - 4 - 19/6*w**3. Factor r(n).
(n - 7)*(n + 1)*(n + 2)
Factor -97*y**3 + 92*y**3 + 381 + 257*y - 515*y**2 - 118*y**2.
-(y - 1)*(y + 127)*(5*y + 3)
Let -16*d**2 - 66*d**3 - 12*d + 33*d**3 + 9*d**2 + 32*d**3 = 0. Calculate d.
-4, -3, 0
Let h(k) be the first derivative of 8*k + 17689/10*k**5 - 244/3*k**3 - 222 + 48*k**2 - 798*k**4. Determine z so that h(z) = 0.
-2/19, 2/7
Suppose 2*i + 45*s = 49*s + 12, -2 = -3*i - 2*s. Factor -2/3*m**4 - 122/3*m**i - 200/3 - 12*m**3 + 120*m.
-2*(m - 1)**2*(m + 10)**2/3
Factor 1064/9*y**2 + 0*y + 0 + 1066/9*y**3 + 2/9*y**4.
2*y**2*(y + 1)*(y + 532)/9
Suppose -4*n - 8*j + 45 = -5*j, -3*n = -j - 24. Let 6*y + 18 - 6 - y**4 + 19*y - 3*y**3 - 2*y + n*y**2 = 0. What is y?
-4, -1, 3
Let b(h) be the second derivative of -2/5*h**2 + 2/5*h**3 + 80*h - 3/20*h**4 + 0. Suppose b(c) = 0. Calculate c.
2/3
Suppose 3*w = -12*x - 36, 2*w = w - x. Let l(h) be the second derivative of 0 + 35*h - 1/180*h**5 + 0*h**2 - 1/54*h**3 - 1/54*h**w. Factor l(d).
-d*(d + 1)**2/9
Let x = -26654 - -26657. Let p(s) be the second derivative of -s**x + 0 - 7/10*s**5 - 2*s**4 + 8*s + 2*s**2. Factor p(q).
-2*(q + 1)**2*(7*q - 2)
Let r(w) = -39*w**2 + 50*w - 5. Let k(d) = -80*d**2 + 100*d - 10. Let y = -97 + 94. Let a(f) = y*k(f) + 5*r(f). Suppose a(b) = 0. What is b?
1/9, 1
Let v(d) be the third derivative of -d**6/360 - 5*d**5/18 + 523*d**4/72 - 236*d**3/9 + 2*d**2 + 2*d - 670. Suppose v(o) = 0. What is o?
-59, 1, 8
Suppose -21*r - 4 + 34 = -54. Let a(n) be the third derivative of 0*n**4 + 1/180*n**6 + 0 - 1/135*n**5 + 0*n - 1/945*n**7 - r*n**2 + 0*n**3. Factor a(g).
-2*g**2*(g - 2)*(g - 1)/9
Let r(h) = 7*h**2 - 54*h + 576. Let l be 20/(-6)*(252/20)/(-7). Let p(s) = s**2 - s. Let q(y) = l*p(y) - r(y). Factor q(v).
-(v - 24)**2
Let d(k) = -k - 2. Let z be d(-8). Suppose -23*g - z = -98. Factor 0 - 4/5*a**2 + 6/5*a**3 - 2/5*a**g + 0*a.
-2*a**2*(a - 2)*(a - 1)/5
Let z(x) be the first derivative of x**4/10 + 232*x**3/15 + 756*x**2 + 46656*x/5 - 5756. Factor z(r).
2*(r + 8)*(r + 54)**2/5
Let r(p) = -2*p**4 - 12*p**3 - 64*p**2 - 116*p - 46. Let t(l) = -2*l**4 - 14*l**3 - 66*l**2 - 114*l - 48. Let a(s) = 3*r(s) - 4*t(s). Factor a(d).
2*(d + 1)*(d + 3)**3
Suppose 118/7 + 2/7*h**2 + 120/7*h = 0. What is h?
-59, -1
Let a(j) be the third derivative of -j**5/35 + 2393*j**4/42 + 76*j**3 - 2753*j**2. Factor a(m).
-4*(m - 798)*(3*m + 1)/7
Suppose 0 = 9*y + 5 + 22. Let o be y + 23/7 + (-6)/21. Factor 6*n**2 + n**4 - 49*n**3 + o*n**2 + 56*n**3.
n**2*(n + 1)*(n + 6)
Let j = -14591 + 14598. Let u(k) be the second derivative of -1/40*k**5 + 26*k + 2/5*k**6 - 1/4*k**4 - 1/12*k**3 + 0*k**2 + 0 - 4/21*k**j. Factor u(l).
-l*(l - 1)**2*(4*l + 1)**2/2
Let t(y) be the first derivative of -y**6/4 + 2*y**5/5 - y**4/8 - 609. Determine b, given that t(b) = 0.
0, 1/3, 1
Let y(n) be the first derivative of n**4/3 - 12*n**3 - 38*n**2 + 8*n - 147. Let s(t) be the first derivative of y(t). Factor s(l).
4*(l - 19)*(l + 1)
Let -1302*q + 1274 - 2/13*q**3 + 366/13*q**2 = 0. Calculate q.
1, 91
Let j(d) be the first derivative of -40 + 8/5*d**2 + 1/15*d**3 + 64/5*d. Factor j(x).
(x + 8)**2/5
Let u(y) be the third derivative of 3*y**7/280 - 67*y**6/10 + 1069*y**5/60 - 89*y**4/6 - y**2 + 13*y + 61. What is b in u(b) = 0?
0, 2/3, 356
Let o(k) be the first derivative of -16*k + 5 + 5/18*k**3 + 1/36*k**4 - 1/60*k**5 + 1/2*k**2. Let f(b) be the first derivative of o(b). Factor f(g).
-(g - 3)*(g + 1)**2/3
Let n(u) = 37*u**2 + 3*u + 25. Let b be n(-4). Suppose -598*w + b*w = 0. Factor 2/3*z**3 + 1/3 + w*z**2 - 1/3*z**4 - 2/3*z.
-(z - 1)**3*(z + 1)/3
Let v(m) = -m**2 - 11*m - 26. Let b be v(-7). Suppose -15 = -3*o - 0*o - 2*t, -3*t + 10 = b*o. Solve 17*j**5 - 5*j**2 + 15*j**4 - 38*j**5 + 31*j**o = 0 for j.
-1, 0, 1/2
Let c(w) be the first derivative of w**2 + 1/24*w**4 + 4 - 5/12*w**3 - 2*w. Let p(v) be the first derivative of c(v). Let p(m) = 0. Calculate m.
1, 4
Let r be (15/(-14))/((-30)/35). Let m = -7416 + 7418. Suppose -1/4*h**m - r + 3/2*h = 0. Calculate h.
1, 5
Factor 111*s**2 + 3/4*s**4 + 108*s + 0 + 30*s**3.
3*s*(s + 2)**2*(s + 36)/4
Let w(f) be the first derivative of -8/5*f**5 - 8*f**4 + 0*f**3 + 0*f**2 + 2/3*f**6 + 0*f - 45. Factor w(x).
4*x**3*(x - 4)*(x + 2)
Let u be -65 + -33 + 77 + 25. Factor -12/5*h**2 - 39/5*h**u + 0 + 0*h + 48/5*h**3 + 9/5*h**5.
3*h**2*(h - 2)**2*(3*h - 1)/5
Let y(u) be the third derivative of 0*u**3 + 56*u + u**2 + 0 + 1/420*u**7 + 27/40*u**5 + 0*u**4 + 3/40*u**6. Solve y(i) = 0 for i.
-9, 0
Let k be (-19)/(-399)*(-33 + 32 + (-13)/(-1)). Factor 64/7*d + 60/7 + k*d**2.
4*(d + 1)*(d + 15)/7
Let x(m) be the second derivative of -m**7/14 + 17*m**6/5 - 1119*m**5/20 + 358*m**4 - 938*m**3 + 1176*m**2 + 21*m - 76. Suppose x(j) = 0. Calculate j.
1, 4, 14
Let f = 371235 + -371232. Factor 8/5*w - 14/5*w**2 - 2/5*w**f + 56/5.
-2*(w - 2)*(w + 2)*(w + 7)/5
Let c be (-25)/104*-22 - -5*103/2060. Factor 2/13*i**3 - 64/13*i - 10/13*i**2 - c.
2*(i - 9)*(i + 2)**2/13
Let h(x) be the second derivative of x**3/3 - 29*x**2/2 + 41*x - 2. Let i be h(16). Suppose 4/9*k + 0 + 2/3*k**2 - 4/9*k**i = 0. What is k?
-1/2, 0, 2
Let r be (10 - 4) + 30/(-5). Suppose -4*b + 5*z - 2 = r, b + z + 2*z = 8. Suppose 0 + 5*n**b + 15/2*n - 5/2*n**3 = 0. What is n?
-1, 0, 3
Factor 1566 - 117*y + 1081*y**2 + 13*y - 1078*y**2 - 57*y + 20*y.
3*(y - 29)*(y - 18)