-p*y**2 + 47*y**2 - 32*y + 64 - 23*y**2.
4*(y - 4)**2
Suppose -6*a + 40 = 46. Let w be (-14 - -11)/((-19)/2 + a). Factor 0*u - w*u**2 + 2/7.
-2*(u - 1)*(u + 1)/7
Let h(u) = -3*u**3 + 120*u**2 + 567*u + 440. Let f(c) = -5*c**3 + 239*c**2 + 1132*c + 881. Let s(p) = 4*f(p) - 7*h(p). Factor s(b).
(b + 1)*(b + 4)*(b + 111)
What is p in -66/5*p**2 + 2/5*p**4 + 6*p**3 + 0 + 34/5*p = 0?
-17, 0, 1
Let v(o) be the third derivative of -287/12*o**5 + 359/24*o**6 + 5/336*o**8 + 0 - 75*o**4 - 159*o**2 + 270*o**3 - 37/42*o**7 + 0*o. Solve v(c) = 0 for c.
-1, 1, 18
Let z = -675996 - -676014. What is f in z*f + 14/3*f**2 - 2/3*f**4 - 2*f**3 + 12 = 0?
-3, -2, -1, 3
Let r be 2*-51*2/(-4). Suppose 57 = 3*b + r. Solve 3*w**5 - 8*w + 12*w**3 - 3*w**3 - 4*w - b*w**4 - 10*w**4 + 12*w**2 = 0 for w.
-1, 0, 1, 2
Let g(z) = -9*z**3 + 25*z**2 - 6*z - 20. Suppose 20*f = 23*f + 18. Let u(w) = 11*w**3 - 26*w**2 + 7*w + 20. Let h(n) = f*g(n) - 5*u(n). Factor h(l).
-(l - 1)*(l + 1)*(l + 20)
Let z be ((-8)/(-18))/((-148)/(-666)). Suppose -m + 3*l = 0, 4*m - 14 = -4*l + z. Let 3/4*x**2 - m*x + 3 = 0. Calculate x.
2
Let y(n) be the first derivative of 2/9*n**3 - 1/12*n**2 + 1/24*n**4 + 60 - 2/3*n. Find i such that y(i) = 0.
-4, -1, 1
Let v be (28 - 4) + -5 + 0. Factor -16*w - 35 + v - 4*w**2 + 64 + 0*w.
-4*(w - 2)*(w + 6)
Let z(u) = -u**2 + 6*u - 14. Let k be z(4). Let f be (k/7)/((-525)/490). Factor 2*h**4 + 14/5*h**3 + 0*h + f*h**2 + 0.
2*h**2*(h + 1)*(5*h + 2)/5
Let k be (-49)/882*33/55*10/(-4). Let c(u) be the second derivative of 0*u**3 - 1/2*u**2 + 15*u + k*u**4 + 0. Solve c(t) = 0.
-1, 1
Let p(r) be the third derivative of 1/20*r**5 + 3*r**4 - 25/2*r**3 + 0*r + 20*r**2 + 3. Solve p(y) = 0 for y.
-25, 1
Let p(v) be the second derivative of -v**4/3 - 44*v**3/3 + 3339*v. Factor p(c).
-4*c*(c + 22)
Factor 3/7*a**3 - 24 - 66/7*a + 15/7*a**2.
3*(a - 4)*(a + 2)*(a + 7)/7
Let y(o) be the first derivative of 10 + 2/3*o**2 - 1/60*o**5 + 14*o + 2/9*o**3 - 1/36*o**4. Let l(k) be the first derivative of y(k). Factor l(g).
-(g - 2)*(g + 1)*(g + 2)/3
Let c(n) be the third derivative of n**6/3780 - n**5/315 + 7*n**3/3 + 143*n**2. Let f(l) be the first derivative of c(l). Factor f(o).
2*o*(o - 4)/21
Let k(p) be the third derivative of -p**5/240 + 505*p**4/48 + 2150*p**2. Solve k(y) = 0 for y.
0, 1010
Determine m so that -122/7 - 118/7*m**2 - 2/7*m**3 + 242/7*m = 0.
-61, 1
Let x(w) = 34*w**2 - 432*w - 310. Let i(c) = 16*c**2 - 212*c - 156. Let l(t) = 13*i(t) - 6*x(t). Factor l(u).
4*(u - 42)*(u + 1)
Let w = 17270 + -17268. Factor -3/4*k - 1/4*k**3 + 1/4 + 3/4*k**w.
-(k - 1)**3/4
Find r such that 0 - 3/7*r**2 - 6*r = 0.
-14, 0
Suppose 2*t - 19 = -g, -2*g + 4*g - 2*t - 8 = 0. Let h(c) = 5*c - 15. Let a be h(g). Solve 6*y**3 - 8*y + 18*y**3 - a*y**2 + 4*y**3 + 10*y**2 = 0 for y.
-2/7, 0, 1
Let x be -2 - (-45)/20 - (-355)/50. Let z(f) be the second derivative of -30*f**3 - 63/2*f**4 - 12*f**2 + 7*f - x*f**5 + 0. Factor z(n).
-3*(n + 2)*(7*n + 2)**2
Let z(b) be the second derivative of b**6/60 + 5*b**5/4 - 13*b**4/3 + 7747*b. Factor z(n).
n**2*(n - 2)*(n + 52)/2
Let s(o) be the third derivative of -1/300*o**6 + 1/150*o**5 + 0*o + 0 + 0*o**3 + 34*o**2 + 1/10*o**4. Suppose s(u) = 0. Calculate u.
-2, 0, 3
Let u(h) be the first derivative of 4*h**3/9 + 2951*h**2/6 - 246*h - 3001. Factor u(z).
(z + 738)*(4*z - 1)/3
Let t be ((-243)/(-36))/((-30)/(-32)). Suppose -3*i = c + 6, 2*c + 3*i + 1345 - 1342 = 0. Factor 12*n + 4/5*n**c - t - 28/5*n**2.
4*(n - 3)**2*(n - 1)/5
Let d(y) be the third derivative of y**8/3920 + y**7/1960 - y**6/420 + 61*y**3/6 - 126*y**2. Let i(c) be the first derivative of d(c). Solve i(j) = 0.
-2, 0, 1
Let q = -3086 - -3089. Let f(n) be the second derivative of 1/4*n**2 + 5/24*n**q + 1/80*n**5 + 0 + 19*n + 1/12*n**4. Factor f(c).
(c + 1)**2*(c + 2)/4
Let l = 3064 - 3064. What is r in -2/5*r**2 + 6/5*r + l = 0?
0, 3
Let l = 39 + -4. Let p = l + -34. Factor i + p + i + i - i**3 - 3.
-(i - 1)**2*(i + 2)
Let f(l) be the first derivative of l**3 - 495*l**2/2 + 978*l + 1753. Factor f(u).
3*(u - 163)*(u - 2)
What is d in -1512*d - 16498 + 2*d**3 + 18*d**2 - 498*d - 1952 - 32*d**2 - 8*d**2 = 0?
-15, 41
Let c be 133/(-315)*21 + 9. Let m(w) be the second derivative of 0 - w**5 + 0*w**2 + 2*w + c*w**6 + 7/3*w**4 - 2*w**3. Suppose m(z) = 0. What is z?
0, 1, 3
Let q(r) be the third derivative of r**6/40 - 2107*r**5/60 - 1759*r**4/12 - 704*r**3/3 + 6863*r**2. Let q(a) = 0. Calculate a.
-1, -2/3, 704
Let y be -7 + (-340)/(-48) + 1 + 3/(-9). Solve -1/2 + 1/2*f**2 - 3/4*f + y*f**3 = 0.
-1, -2/3, 1
Let j(q) be the first derivative of -12/5*q**2 - 3/5*q**3 - 1/20*q**4 - 4*q - 67. What is f in j(f) = 0?
-5, -2
Suppose -2*b = 2*l - 14, 61*b + 3*l = 64*b - 39. Let x(i) be the first derivative of 0*i**3 - 3/17*i**2 - 4/17*i + 1/34*i**4 + b. Suppose x(u) = 0. Calculate u.
-1, 2
Let s(z) = -z**2 - 65*z + 44102. Let g be s(-245). Find u such that -2/5 + 2/5*u**g - 2/5*u**3 + 2/5*u = 0.
-1, 1
Let w = 12751/9633 - -31/3211. Solve 32/3 - 8/3*v - w*v**2 = 0 for v.
-4, 2
Let p(f) be the second derivative of f**6/135 - 323*f**5/45 + 34991*f**4/18 - 208012*f**3/27 + 103684*f**2/9 - 90*f - 13. Factor p(r).
2*(r - 322)**2*(r - 1)**2/9
Factor -2688*k - 192*k**2 + 1/9*k**4 - 11520 - 8/3*k**3.
(k - 60)*(k + 12)**3/9
Let l(z) be the third derivative of z**8/360 + 4*z**7/315 + 11*z**6/540 + z**5/90 + 29*z**3/3 + z**2 - 5. Let m(x) be the first derivative of l(x). Factor m(q).
2*q*(q + 1)**2*(7*q + 2)/3
Let r = 1/83257 - -166499/1248855. Suppose 0*d - r*d**2 + 8/15 = 0. What is d?
-2, 2
Let h(d) be the first derivative of -d**4/4 + 13*d**3/3 + 7*d**2 + 2475. Find a such that h(a) = 0.
-1, 0, 14
Let b(y) be the second derivative of y**6/75 - 61*y**5/50 - 181*y**4/15 + 716*y**3/5 - 2376*y**2/5 + 324*y. Determine a, given that b(a) = 0.
-9, 2, 66
Let t = -829355 + 829358. Let 2/3*c + 0 - c**2 + 1/3*c**4 + 0*c**t = 0. What is c?
-2, 0, 1
Let v(c) = c**2 + 7*c + 12. Let x(y) = y**3 + 21*y**2 + 19*y - 26. Let f be x(-20). Let l be v(f). Factor -41 + 2*j**3 - l*j**2 - 8*j + 31 - 10*j.
2*(j - 5)*(j + 1)**2
Let o = 2114/83 + -3979/166. Factor -l**3 - 1/2 + 0*l + o*l**2.
-(l - 1)**2*(2*l + 1)/2
Determine g so that 5760/11 - 2/11*g**3 - 1632/11*g + 106/11*g**2 = 0.
5, 24
Let o(a) be the first derivative of 49*a**6/39 - 70*a**5/13 + 235*a**4/26 - 290*a**3/39 + 40*a**2/13 - 8*a/13 - 940. Suppose o(k) = 0. Calculate k.
2/7, 1
Let 0 + 37/2*k - 1/4*k**2 = 0. What is k?
0, 74
Let 949*h**2 - 122806*h + 33737*h - 9*h**3 - 94430*h + 8*h**3 - 42125*h + 224676 = 0. Calculate h.
1, 474
Let r(y) be the second derivative of y**4/6 + 19*y**3/3 - 66*y**2 - 132*y. Factor r(c).
2*(c - 3)*(c + 22)
Suppose 83658*q + 17260 + 1683*q**3 + 55644*q**2 + 52052 - 291*q**3 + 56790*q + 9*q**4 = 0. What is q?
-76, -2, -2/3
Let t(b) = -2*b**3 - 14*b**2 + 7*b + 39. Let u be t(-10). Let r = -569 + u. Factor 1/6*x**2 + 2/3*x + r.
x*(x + 4)/6
Let o be 10/70*-7 - -22. Let a(u) be the third derivative of o*u**2 - 1/120*u**5 + 0*u - 1/12*u**4 + 5/12*u**3 + 0. Suppose a(v) = 0. Calculate v.
-5, 1
Let q(p) be the third derivative of 1/140*p**6 - 3 - 1/392*p**8 + 3/245*p**7 + 2*p**2 - 3/70*p**5 + 0*p**3 + 0*p + 0*p**4. Suppose q(y) = 0. What is y?
-1, 0, 1, 3
Let w be (-1286)/(((-39)/6)/13*-4). Let u = -640 - w. Factor 0 + 2/3*o**2 + 0*o - 2/3*o**u + 1/6*o**4.
o**2*(o - 2)**2/6
Let p(o) = -o**2 - 7*o + 76. Let u be p(19). Let v be (-44)/u + (-4)/(-38)*-1. Let 0*a - 8/3*a**2 + v + 4/3*a**3 = 0. Calculate a.
0, 2
Determine c, given that 128/9*c + 52/3*c**3 + 0 + 272/9*c**2 - 4/9*c**5 + 8/9*c**4 = 0.
-4, -1, 0, 8
Let i(y) = y**4 - y**3 + y**2 + 2*y + 1. Let j(k) = 9*k**4 + 12*k**3 + 9*k**2 - 60*k + 54. Suppose -13*v + 6 = -12*v. Let w(c) = v*i(c) - j(c). Factor w(x).
-3*(x - 1)**2*(x + 4)**2
Let g be -1125 + 1089 - -13*3. Factor 39/4*o**2 - 3/4*o**g + 21/2*o + 0.
-3*o*(o - 14)*(o + 1)/4
Suppose 23*m - 20 = s + 19*m, 2*s - 2*m = -10. Let g(v) be the second derivative of -1/5*v**5 + 2/15*v**6 + 4*v - v**4 + 4*v**2 + s + 2/3*v**3. Factor g(h).
4*(h - 2)*(h - 1)*(h + 1)**2
Suppose 8*m - 218 + 186 = 0. Factor 86234 + 10*n**3 - 40*n + 5*n**m - 86234 - 20*n**2.
5*n*(n - 2)*(n + 2)**2
Suppose -18841*x - 5 = -2*z - 18840*x, 5*x + 1 = 4*z. Factor 5/3*l**z - 5*l + 5/3*l**2 + 5*l**