 + 5*a**4 = 0.
-4, 0, 1, 2
Let y(q) be the third derivative of -4/105*q**7 + 0*q**3 - 1/15*q**5 + 7/60*q**6 + 0 + 0*q**4 - 1/42*q**8 - 35*q**2 + 0*q. Factor y(b).
-2*b**2*(b + 2)*(2*b - 1)**2
Let o(s) be the first derivative of 18*s**3 + 2/5*s**5 + 16*s + 25*s**2 + 11/2*s**4 - 48. What is z in o(z) = 0?
-8, -1
Suppose -19*c - 622 + 546 = 0. Let s be (3/((-30)/c))/((-205)/(-6150)). Let s*x + 4/5*x**3 - 28/5 - 36/5*x**2 = 0. What is x?
1, 7
Let r(c) = 3*c**3 - 4*c**2 - 4*c - 4. Let p be r(4). Suppose -h - p = -138. Factor n + 32*n**2 - 16 + 3*n - h*n**2.
2*(n - 2)*(n + 4)
Solve 0*x**3 - 50*x**2 + 3*x**3 - x**3 - 144*x - 6*x**3 - 10*x**2 = 0 for x.
-12, -3, 0
Let w be 1/(-75) + 44030/64750. Factor -10/3 + 10/3*s**2 + w*s - 2/3*s**3.
-2*(s - 5)*(s - 1)*(s + 1)/3
Let j(b) = 4221*b + 3. Let p be j(0). Factor 2/3 - 1/6*u**p + u**2 - 3/2*u.
-(u - 4)*(u - 1)**2/6
Factor -2/7*a**3 + 162/7*a + 360/7 + 8/7*a**2.
-2*(a - 12)*(a + 3)*(a + 5)/7
Let x(a) = a**2 + 13*a + 40. Let g = 1235 - 1240. Let k be x(g). Determine y, given that -2/3*y**5 + 0*y + 0*y**4 + 0*y**3 + 0*y**2 + k = 0.
0
Suppose 5*g + 3 = -4*f + 2*g, 7 = 4*f + g. Suppose -h - 5*r - 30 = -6*h, -h + f = 2*r. Factor -3 + 8 + 3 - 5*c**2 + 2 + h*c.
-5*(c - 2)*(c + 1)
Let s(y) be the third derivative of y**6/30 - 4*y**5/5 - y**4/6 + 8*y**3 - 219*y**2. Factor s(f).
4*(f - 12)*(f - 1)*(f + 1)
Find z, given that -138/7*z - 3/7*z**2 - 264/7 = 0.
-44, -2
Let t(h) be the third derivative of -h**5/30 - 154*h**4/3 - 94864*h**3/3 - 23*h**2 - 4*h - 5. Let t(m) = 0. What is m?
-308
Let k = 31464765/23 - 1368029. Find u such that k*u**3 - 1330/23*u**2 + 32*u - 104/23 = 0.
2/7, 13
Let l(a) be the second derivative of 1/20*a**5 + 0 + 0*a**2 - 66*a + 1/10*a**6 + 1/42*a**7 - 1/3*a**3 - 1/4*a**4. Let l(p) = 0. Calculate p.
-2, -1, 0, 1
Factor -30*m**2 + 9*m**2 + 2898 + 11*m**2 - 1561*m + 118*m + 7*m**2.
-3*(m - 2)*(m + 483)
Let a(q) = 2*q**2 + 18*q + 18. Suppose -36*u + 22*u - 112 = 0. Let d be a(u). Solve 0 + 10*z**d - 14/3*z**3 - 6*z + 2/3*z**4 = 0.
0, 1, 3
Let p(o) = -o**4 - 7*o**2 - o - 2. Let g(d) = 3*d**4 + 460*d**3 + 26911*d**2 + 51985*d + 2. Let k(n) = 2*g(n) + 2*p(n). Factor k(c).
4*c*(c + 2)*(c + 114)**2
Suppose -288/5 - 108/5*f - 4/5*f**2 = 0. What is f?
-24, -3
Let o(w) be the third derivative of 7*w**8/16 - 18*w**7/5 - 171*w**6/10 + 127*w**5/10 + 507*w**4/8 + 63*w**3 + 1954*w**2. Suppose o(z) = 0. What is z?
-2, -3/7, 1, 7
Let -62 - 12*w**4 + 0*w**4 + 1542*w - 9*w**4 - 544507*w**3 - 1059*w**2 - 298 + 544765*w**3 = 0. Calculate w.
2/7, 3, 4, 5
Suppose -18 = 4*w - 5*x - 6, 0 = 5*w + 5*x - 30. Let j(s) be the first derivative of 4 - 45*s**3 - 21*s**w + 24*s + 21/5*s**5 - 12*s**4. Factor j(t).
3*(t - 4)*(t + 1)**2*(7*t - 2)
Let p = 114 + -74. What is i in -581 + 581 - p*i + 35*i**2 = 0?
0, 8/7
Let y(i) be the first derivative of -i**4/6 - 46*i**3 - 4761*i**2 + 61*i + 318. Let z(j) be the first derivative of y(j). Factor z(u).
-2*(u + 69)**2
Let y(t) be the second derivative of t**6/90 + 11*t**5/60 + 5*t**4/18 + 85*t + 1. Factor y(b).
b**2*(b + 1)*(b + 10)/3
Let s = 621 - 613. Suppose -4*r = 4*b, -2 + s = r - 2*b. Factor -24/7*y + 4/7*y**r + 32/7.
4*(y - 4)*(y - 2)/7
Find n such that 922/9*n**4 - 44/3*n**5 - 1994/9*n**2 - 910/9*n**3 - 10/3*n + 0 = 0.
-1, -1/66, 0, 3, 5
Let d(k) be the third derivative of k**5/15 + 151*k**4/6 - 520*k**3 + 3*k**2 + 19*k - 3. Determine f, given that d(f) = 0.
-156, 5
Let n(w) be the third derivative of w**8/5040 - w**7/420 + w**6/90 + w**5/60 + w**3 - 7*w**2. Let t(j) be the third derivative of n(j). What is p in t(p) = 0?
1, 2
Let o = -424 + 241. Let j = o + 185. Factor 0*b + 4/3*b**4 - 5*b**5 + 4/3*b**3 + 0 + 0*b**j.
-b**3*(3*b - 2)*(5*b + 2)/3
Suppose -3*n - 2*l - 526 = -6*n, -2*n - l + 360 = 0. Let k = -884/5 + n. Suppose 0*y**3 + 9/5*y**2 + 0 + k*y - 3/5*y**4 = 0. Calculate y.
-1, 0, 2
Let w(q) be the second derivative of 0*q**3 - 73 - 7/60*q**6 + 0*q**2 + 2*q - 17/80*q**5 - 1/56*q**7 - 1/8*q**4. Solve w(p) = 0 for p.
-3, -1, -2/3, 0
Let r(t) = 6*t**2 - 8*t - 36. Let j(v) = 4*v**2 - 6*v - 24. Suppose -11*s + 3 = -7*s + 5*m, 0 = -4*s - 4*m + 8. Let u(k) = s*j(k) - 5*r(k). Factor u(g).
-2*(g - 2)*(g + 3)
Solve -312/11 - 184/11*a + 186/11*a**4 + 1134/11*a**2 - 74*a**3 - 10/11*a**5 = 0 for a.
-2/5, 1, 2, 3, 13
Let d = -160645 - -1285161/8. Factor -1/8*f**3 - d*f**2 + 0*f + 0.
-f**2*(f + 1)/8
Factor 700*k**2 - 16893 - 5*k**3 - 35016 - 97995*k + 705*k**2 - 47496.
-5*(k - 141)**2*(k + 1)
Let p(s) be the second derivative of 1/70*s**5 + 0*s**4 + 0 - 25*s - 1/7*s**3 - 2/7*s**2. Factor p(k).
2*(k - 2)*(k + 1)**2/7
Let l(b) = 5*b + 63. Let u(p) = 39*p + 504. Let n(i) = -33*l(i) + 4*u(i). Let x be n(-7). Factor 3/10*t - 1/10*t**3 + x*t**2 - 1/5.
-(t - 1)**2*(t + 2)/10
Let d be (-12)/(-15) - (-10 + (-844)/(-80)). Let f(p) be the third derivative of 5/3*p**4 + 3*p**2 + 1/42*p**7 + p**5 + d*p**6 + 0*p + 0*p**3 + 0. Factor f(a).
5*a*(a + 2)**3
Let h = -3375 - -3385. Let j(s) be the third derivative of -h*s**2 + 0*s + 1/60*s**6 + 0 - 4/3*s**3 - 1/3*s**4 + 1/30*s**5. Determine i so that j(i) = 0.
-2, -1, 2
Let b(i) be the third derivative of 1/84*i**8 - 14*i + i**2 - 4/105*i**7 - 5/6*i**4 - 2/5*i**6 - 14/15*i**5 + 0 + 0*i**3. Solve b(n) = 0 for n.
-1, 0, 5
Let q(k) = k - 1. Let g be (60/(-35))/((-5)/(-7) - 1). Let p be q(g). Factor -6 + 2*t**2 - t**3 - t + p*t + 3 - 5.
-(t - 2)**2*(t + 2)
Let o be ((-9)/(-48)*-2)/((-5)/(-30)*(-783)/58). Factor -1/3 + 2/3*n**3 - 1/3*n**2 + 2/3*n**4 + o*n**5 - 5/6*n.
(n - 1)*(n + 1)**3*(n + 2)/6
Let -448*u**2 + 15*u**4 + 39*u - 438*u**2 - 21 + 3*u**5 + 892*u**2 - 42*u**3 = 0. Calculate u.
-7, -1, 1
Let y be (18067/(-56))/(-29) + -11 + (-55)/(-200). What is c in 1/5*c**4 + 2/5*c**3 - y*c - 1/5*c**2 + 0 = 0?
-2, -1, 0, 1
Let j(s) = -8*s - 140. Let x be j(-18). Let c(g) = -g + 4. Let m be c(2). Factor m*b**2 + b + x*b**2 + b + 2*b**3 - 2*b**2.
2*b*(b + 1)**2
Let v be -10 + ((-24)/(-6) - -1). Let o(c) = -2*c**3 + 4*c**2 + 8*c. Let n(s) = -6*s**3 + 12*s**2 + 26*s. Let q(l) = v*n(l) + 16*o(l). Factor q(j).
-2*j*(j - 1)**2
Find y such that -224 + 70526*y**4 - 73776*y**4 + 2088*y**2 - 6974*y**3 - 1936*y - 338*y**5 - 7862*y**2 = 0.
-7, -1, -4/13
Factor -448/9*b + 2/9*b**2 + 384.
2*(b - 216)*(b - 8)/9
Factor -308/3*m - 1/3*m**3 + 0 - 12*m**2.
-m*(m + 14)*(m + 22)/3
Let x be (-1 - -1)/(41/(-41)). Let x - 10/13*b**5 + 34/13*b**2 - 2/13*b**3 + 12/13*b - 34/13*b**4 = 0. Calculate b.
-3, -1, -2/5, 0, 1
Let j(l) = l**3 - 6*l**2 - 4*l + 23. Let t be j(6). Let r be -3 - (-9 + 3) - t. Factor 131*w**2 + 16*w + r*w**4 + 6 - 69*w**2 - 98*w**2 + 42.
4*(w - 2)**2*(w + 1)*(w + 3)
Let y be -21 + ((-61568)/78)/(-37). Let 8*v**3 + 28/9*v + 16/9*v**4 + y + 9*v**2 = 0. Calculate v.
-3, -1, -1/4
Suppose 5*g - 367 = 1068. Suppose g = 3*u + 53. Find v, given that -57*v**4 + 78*v**4 + 81*v**2 + u*v**3 - 3 + 12*v - 9 = 0.
-2, -1, 2/7
Determine z, given that -391*z**2 - 17802 + 16495*z + 21952*z - 2858 + z**3 - 32*z - 17365 = 0.
1, 195
Let f(k) be the third derivative of k**7/3780 + k**6/1620 + 41*k**3/6 - 31*k**2. Let y(x) be the first derivative of f(x). Suppose y(r) = 0. What is r?
-1, 0
Suppose m - 40 = -5*t + 6*m, 2*t - 64 = 8*m. Let b(y) be the first derivative of 0*y - 2/25*y**5 - 2 - 3/10*y**4 + t*y**3 + 4/5*y**2. Find f such that b(f) = 0.
-2, 0, 1
Let i(u) be the second derivative of 0*u**2 + 0 + 1/18*u**4 + 2/3*u**3 + 27*u - 1/30*u**5. Suppose i(d) = 0. Calculate d.
-2, 0, 3
Factor x**3 - 9*x + 216/11 - 15/11*x**2 - 1/11*x**4.
-(x - 8)*(x - 3)**2*(x + 3)/11
Let v(k) be the first derivative of 16/3*k**3 - k**4 + 112 + 0*k**2 + 0*k. Suppose v(s) = 0. Calculate s.
0, 4
Let h = -182872 + 1280106/7. Determine k so that -378*k - h*k**3 + 2646 + 18*k**2 = 0.
21
Let w(q) = -4*q**2 + 91*q - 315. Let x(a) = 27*a**2 - 626*a + 2204. Let c(b) = -20*w(b) - 3*x(b). Find o such that c(o) = 0.
6, 52
Factor -1492/7*n + 2/7*n**2 + 0.
2*n*(n - 746)/7
Let b(d) = 92*d + 1384. Let u be b(-15). Let j(h) be the first derivative of 1/4*h**3 + 34 + 0*h - 3/20*h**5 + 3/4*h**2 - 3/8*h**u. Solve j(a) = 0 for a.
-2, -1, 0, 1
Let y = -1125 + 4501/4. Let c(m) be the first derivative of y*m**6 - 13 - 1/2*m**3 + 9/8*m**4 + 0*m**2 + 0*m - 9/10*m**5. What is h in c(h) = 0?
0, 1
Factor 7*f**3 + 691679*f**2 + 18*f**3 