second derivative of 16*d + 0*d**5 + 0 - 13/2*d**2 + 0*d**3 - 1/96*d**4 + 1/480*d**6. Let o(t) be the first derivative of y(t). Solve o(j) = 0.
-1, 0, 1
Suppose 3*q = 4*p + 8, -4*p + p + 5*q = 17. Let r be 3 - 4 - (-2 - p). Factor 1 - 12*b**r - 6 + 9 + 22*b.
-2*(b - 2)*(6*b + 1)
Suppose 365 = 329*w - 293. Let y(s) be the third derivative of 1/210*s**7 + 1/60*s**5 + 0*s**3 + 0*s + 1/60*s**6 - 23*s**w + 0*s**4 + 0. Factor y(m).
m**2*(m + 1)**2
Let f(r) be the second derivative of r**4/54 + 62*r**3/27 + 59*r**2/3 - 5*r - 19. Factor f(c).
2*(c + 3)*(c + 59)/9
Let d be (-4)/(-34) + 81310*(-11)/1496. Let w = d + 598. Suppose -w*b**3 - 2*b - 1 - 5/4*b**2 = 0. What is b?
-2, -1
Let j(n) be the second derivative of n**7/11340 + 7*n**6/1080 - 11*n**5/270 + 19*n**4/12 - 140*n. Let v(m) be the third derivative of j(m). Factor v(f).
2*(f - 1)*(f + 22)/9
What is n in -38/3*n**4 + 40/3*n**2 + 0 - 142/3*n**3 + 0*n = 0?
-4, 0, 5/19
Suppose -16*u + 42 + 86 = 0. Factor 40*a + 20*a**3 + 12 - 4*a**3 + u*a**3 + 4*a**4 + 48*a**2.
4*(a + 1)**3*(a + 3)
Let q(c) be the first derivative of 58 + 40/3*c**3 + 0*c**2 + 0*c + 1/2*c**4. Factor q(u).
2*u**2*(u + 20)
Suppose -10171230*t + 5730280 - 4327604*t - 5769166*t - 6222*t**2 - 11790*t**2 - 4*t**3 + 14555736 = 0. What is t?
-2252, 1
Let v be 4 + 0 + 89 + 75. Solve 170*k**4 + 6*k**5 - v*k**4 + 96*k - 3*k**2 - 48*k**3 + 32 - 13*k**2 = 0.
-2, -1/3, 2
Let f(w) be the first derivative of -2*w**5/5 + w**4 - 2*w**3/3 - 5660. Find x such that f(x) = 0.
0, 1
Let f = 652 - 652. Let k be 2 + f - -3 - (-252)/(-140). Factor -16/5*z - 8/5*z**3 + 28/5*z**2 - k.
-4*(z - 2)**2*(2*z + 1)/5
Let g = -40084 + 40084. Let i(w) be the third derivative of 0*w + g*w**5 - 1/600*w**6 + 1/30*w**4 + 0 + 50*w**2 + 0*w**3. Factor i(c).
-c*(c - 2)*(c + 2)/5
Suppose 11*d + 796 - 818 = 0. Let i(r) be the second derivative of 1/60*r**5 + 1/9*r**4 + 1/3*r**d - 26*r + 5/18*r**3 + 0. Let i(w) = 0. Calculate w.
-2, -1
Let l be 120/32*72/351. Factor l*j**3 + 18/13*j**2 + 14/13*j + 2/13*j**4 + 4/13.
2*(j + 1)**3*(j + 2)/13
Solve -4*o**2 + 276*o - 109 + o**2 + 386 + 2*o**2 = 0 for o.
-1, 277
Suppose 43*i = 42*i + 4. Suppose -i*a + 13 + 31 = 0. Determine d, given that 5*d**2 - 15 + 0*d**2 - d**2 + a = 0.
-1, 1
Suppose -70*i + 3*i + 42 = 42. Let l(d) be the first derivative of 3/2*d**2 + 3/4*d**4 + 18 + i*d - 2*d**3. Factor l(x).
3*x*(x - 1)**2
Let d(w) be the first derivative of 92 - 19/7*w**2 - 12/7*w - 4/21*w**3 + 3/14*w**4. Solve d(x) = 0 for x.
-2, -1/3, 3
Let g(b) be the second derivative of 0 + 1/780*b**6 + 3/52*b**4 - 8*b + 0*b**3 - 3/2*b**2 + 1/65*b**5. Let m(c) be the first derivative of g(c). Factor m(q).
2*q*(q + 3)**2/13
Let c(r) be the second derivative of -r**5/5 - 77*r**4/15 + 266*r**3/15 - 102*r**2/5 + 1306*r. Suppose c(i) = 0. Calculate i.
-17, 3/5, 1
Let b(l) be the third derivative of -l**8/84 - 26*l**7/105 - 16*l**6/15 - 4*l**5/3 - 955*l**2. Suppose b(c) = 0. What is c?
-10, -2, -1, 0
Let l be ((-1)/((-4)/(-3)))/(4200/(-508000)). Let p = l + -2505/28. Factor p*c**3 - 1/2 - 9/4*c**2 - 1/4*c**4 + 7/4*c.
-(c - 2)*(c - 1)**3/4
Let x be 3 - 4/(-20)*-5. Factor -5*y - 7*y**2 - 8*y**2 + 18*y**2 + x*y**2.
5*y*(y - 1)
Suppose -p = -5*r + 268, -7*p + 11*p = 2*r - 118. Find u, given that 16*u**3 - r*u**2 + 0*u**4 - 8*u - 4*u - 9*u**4 - 16*u - 4 - 54*u**3 = 0.
-2, -1, -2/9
Let t = -307 + 311. Factor -593*c + 533*c + 12 + 29*c**4 + 92*c**2 + 19*c**2 - 90*c**3 - 2*c**t.
3*(c - 1)**2*(3*c - 2)**2
Suppose -44*o + 2 = -43*o. Let -50*j**o - 48*j**2 + 8*j**4 + 2*j**5 + 62*j**2 - 6*j**3 = 0. What is j?
-3, 0, 2
What is h in -231/2*h**2 - 177*h + 72 - 9/2*h**3 = 0?
-24, -2, 1/3
Let s(o) = -4*o + 3. Let m be s(6). Let z = -20 - m. Determine x so that -16*x + 1 + x**2 + 14*x - z = 0.
0, 2
Let u(q) be the first derivative of q**6/18 - q**5 + 25*q**4/4 - 145*q**3/9 + 20*q**2 - 12*q - 2325. Solve u(h) = 0.
1, 6
Suppose -5*s + 810 = -285. Factor 217*j**5 + 3*j**4 - 433*j**5 + s*j**5.
3*j**4*(j + 1)
Let q = -268092 + 1340462/5. Factor q*g**4 + 4/5*g**2 + 6/5*g**3 + 0 + 0*g.
2*g**2*(g + 1)*(g + 2)/5
Suppose 0*f**2 - 8*f**3 + 44/5*f**4 - 4/5*f**5 + 0 + 0*f = 0. What is f?
0, 1, 10
Let v be (((-4)/108)/(16/3))/(14/(-14)). Let j(t) be the third derivative of 0 - 1/360*t**5 + 0*t - 2*t**2 - v*t**4 + 0*t**3. Factor j(w).
-w*(w + 1)/6
Let x(w) be the third derivative of -242*w**5/15 - 649*w**4/3 - 3481*w**3/3 + 271*w**2 + 9. Let x(p) = 0. Calculate p.
-59/22
Suppose -63*a + 3590 = 243*a + 412*a. Let -8/11*p**4 - 8/11*p + 0 + 6/11*p**3 + 2/11*p**a + 8/11*p**2 = 0. Calculate p.
-1, 0, 1, 2
Let n(d) be the first derivative of d**3/6 - 64*d**2 + 255*d/2 + 8441. What is p in n(p) = 0?
1, 255
Find l, given that 329*l**3 + 33 - 333*l**3 + 12*l - 9 + 16*l = 0.
-2, -1, 3
Let g(p) be the first derivative of -p**3/2 - 51*p**2/2 + 6458. Factor g(i).
-3*i*(i + 34)/2
Let p(b) be the first derivative of -b**6/42 + 3*b**5/7 - 12*b**4/7 - 64*b**3/21 - 376. Let p(n) = 0. Calculate n.
-1, 0, 8
Let t(b) be the second derivative of -3*b**4/32 - 121*b**3/2 + 969*b**2/16 + 4662*b. Factor t(l).
-3*(l + 323)*(3*l - 1)/8
Let g(n) = -54*n**3 + 380*n**2 - 21*n + 51. Let l be g(7). Find c such that 0 - 48/7*c - 4/7*c**4 + 48/7*c**3 + 4/7*c**l = 0.
-1, 0, 1, 12
Let r(k) be the third derivative of -k**5/210 - 27*k**4/14 - 159*k**3/7 + 2305*k**2. Suppose r(l) = 0. Calculate l.
-159, -3
Let k = 2541373/3 - 847124. Solve -1/9*z**3 + 1/9*z**5 + 7/9*z**2 - 4/9 - k*z**4 + 0*z = 0.
-1, 1, 2
Suppose 11*c + 198 - 231 = 0. Let m(r) be the first derivative of -3*r**2 - 9/2*r - 19 - 1/2*r**c. Find x such that m(x) = 0.
-3, -1
Let a(s) = -38*s + 912. Let x be a(24). Let u be (0 + x)*-11*(-5)/110. Find h, given that 0*h**4 - 2/21*h**5 + 10/21*h**3 + 0*h**2 + u - 8/21*h = 0.
-2, -1, 0, 1, 2
Let y(p) be the second derivative of -p**7/210 + 2*p**6/45 - 2*p**5/15 - p**3/3 + 3*p**2 + 17*p. Let a(n) be the second derivative of y(n). Factor a(r).
-4*r*(r - 2)**2
Let c be ((-42)/9 + 4)*-6. Solve -1248*s**2 - 14*s + 1354*s**3 - 196*s**c + 1866*s**3 - 1506*s - 256 = 0.
-2/7, 1, 16
Let g(c) be the second derivative of -c**5/30 + c**4 + 73*c**2 - 37*c - 1. Let z(t) be the first derivative of g(t). Determine x so that z(x) = 0.
0, 12
Suppose -4*n + 2111 - 2067 = 7*n. Let f(p) be the second derivative of 96*p**2 + 1/4*p**n + 0 - 8*p**3 - 10*p. Determine w so that f(w) = 0.
8
Let l = 658233/5 + -131643. Factor -3/5*n**4 - l*n**3 - 39/5*n**2 - 36/5*n - 12/5.
-3*(n + 1)**2*(n + 2)**2/5
Let l be 3160/2550 - (-56)/(-1428). Factor -8/5 - 2/5*r**4 + l*r**2 + 4/5*r**3 - 8/5*r.
-2*(r - 2)**2*(r + 1)**2/5
Find r, given that -57/2*r**3 - 3/2*r**5 + 0 - 18*r**2 - 12*r**4 + 0*r = 0.
-4, -3, -1, 0
Let y = -1253 - -1259. Let g be (5 + (1 - y))/(12 - 14). Solve -4/3*d + 1/3*d**2 + g = 0 for d.
0, 4
Find a such that -8/3*a**3 + 4/3 + 14/3*a - 10/3*a**2 = 0.
-2, -1/4, 1
Let m(g) = -3*g**4 + 24*g**3 + 132*g**2 - 1052*g + 4. Let h(f) = f**4 + f**3 - f**2 + 7*f - 1. Let d(v) = -4*h(v) - m(v). Determine w so that d(w) = 0.
-16, 0, 4
Let u(n) = -n**2 - 21*n - 49. Let d be u(-18). Determine t so that 17 + 4 + 8 + 25*t + 1 + d*t**2 = 0.
-3, -2
Let y(b) = 727*b + 37809. Let q be y(-52). Factor -25*r**2 - 1/4 + q*r.
-(10*r - 1)**2/4
Let a = 148/1769 - -8401/5307. Determine w, given that -11/3*w**3 + 0*w - a*w**2 - 1/3*w**5 - 7/3*w**4 + 0 = 0.
-5, -1, 0
Factor -18769/2 - 1/2*d**2 + 137*d.
-(d - 137)**2/2
Let u(d) be the first derivative of 3/4*d**3 + 0*d - d**2 - 1/16*d**4 + 17. Suppose u(q) = 0. What is q?
0, 1, 8
Let t = 573 - 720. Let g be (4/5)/(t/(-245)). Factor -16/3*i**2 - g - 20/3*i.
-4*(i + 1)*(4*i + 1)/3
Let l(d) = 8*d**2 + 27*d - 35. Let h = -96 + 91. Let m(i) = 7*i**2 + 27*i - 34. Let f(t) = h*m(t) + 4*l(t). Factor f(p).
-3*(p - 1)*(p + 10)
Factor 492*d**2 - 736*d + 1200 - 34*d**4 + 36*d**4 - 1363*d - 54*d**3 + 459*d.
2*(d - 10)**2*(d - 6)*(d - 1)
Suppose 3*p = v + 54 + 799, 582 = 2*p + 2*v. Suppose 4*m - 22 - p = 0. Factor 36*t**2 - 7*t**3 + 11*t**3 - m + 60*t - 23.
4*(t - 1)*(t + 5)**2
Let u(f) = 2*f**2 + 129*f - 701. Let w(p) = 6*p**2 + 388*p - 2080. Let h(r) = -16*u(r) + 5*w(r). Factor h(v).
-2*(v - 6)*(v + 68)
Let j(d) be the third derivative of 11*d**8/2016 - 17*d**7/315 + 9*d**6/40 - 47*d**5/90 + 107*d**4/144 - 2*d**3/3 + 46*d**2 - 29. Solve 