*4/3 - 256*m**3/9 + 784*m**2/9 - 352*m/3 - 10009. What is b in h(b) = 0?
-66, 2
Let k(x) be the first derivative of x**4/40 - 151*x**3/30 - 38*x**2/5 + 5180. Suppose k(j) = 0. Calculate j.
-1, 0, 152
Let o(p) be the first derivative of 4/5*p**3 + 768/5*p - 9/5*p**4 + 288/5*p**2 + 3/25*p**5 + 39. Factor o(y).
3*(y - 8)**2*(y + 2)**2/5
Let g(j) = -478*j + 3. Let a be g(-1). Let z = a + -289. Factor -6*y - 192 + z - 8*y**3 - 14*y**2.
-2*y*(y + 1)*(4*y + 3)
Let z be ((-4)/(-20) - -2) + 30*(-49)/(-105). Find d, given that -1/5*d**3 + 9*d - 3/5*d**2 - z = 0.
-9, 3
Let n(y) be the third derivative of -6*y**2 + 0*y**4 + 1/165*y**6 - 2 - 2/165*y**5 - 1/1155*y**7 + 0*y + 0*y**3. Solve n(j) = 0 for j.
0, 2
Let c = -3777 - -33997/9. Let p be 224/360 - 2/5. Factor p*z + c - 2/9*z**2.
-2*(z - 2)*(z + 1)/9
Suppose 166 + 314 = -20*c. Let w be 11 + (-11 - c/12). Determine z, given that 0 - 8/9*z + 2/3*z**3 - 22/9*z**w = 0.
-1/3, 0, 4
Let b = -32392/64642811 - -2/141657. Let f = b - -197146/20535. Factor -f - 24/5*k - 3/5*k**2.
-3*(k + 4)**2/5
Let a(w) be the first derivative of -w**4/36 + 2*w**3/3 + 74*w - 201. Let m(b) be the first derivative of a(b). Factor m(g).
-g*(g - 12)/3
Let b(f) = -2*f**3 + f**2 - 4*f + 6. Let p be b(2). Let w be p/(-6)*(-8 - (-406)/49). Suppose 2/3*t**2 - 4/3*t**3 + w*t**4 + 0 + 0*t = 0. What is t?
0, 1
Let c(x) be the third derivative of -x**6/80 - 261*x**5/40 + 1593*x**4/16 - 2403*x**3/4 - 2490*x**2. Factor c(q).
-3*(q - 3)**2*(q + 267)/2
Let 1464*g**2 - 299*g + 3*g**4 - 1710*g**2 - 504 - 337*g - 21*g**3 = 0. What is g?
-3, -2, 14
Let a(c) be the third derivative of c**7/1680 + 7*c**6/320 + 5*c**5/16 + 7*c**4/3 + 10*c**3 - 2*c**2 + 5*c + 44. What is i in a(i) = 0?
-10, -4, -3
Let i be ((-930)/(-31))/(9/5). Let x(j) be the first derivative of -48*j**2 + 5 + i*j**6 - 164/3*j**3 - j**4 - 16*j + 36*j**5. Determine b, given that x(b) = 0.
-1, -2/5, 1
Let d be 3/((-21)/2) + (27750/1008)/37. Let f(z) be the second derivative of -2*z**3 + z**2 + 26*z + d*z**4 + 0. Factor f(u).
(u - 2)*(11*u - 2)/2
Let b = 603503 - 603503. Suppose -4/9*a + b + 1/9*a**3 - 1/9*a**4 + 4/9*a**2 = 0. Calculate a.
-2, 0, 1, 2
Let c = 133 + -130. Factor 60*m**3 + 128*m - 4*m**4 - 186*m**2 + 58*m**2 - 20*m**c.
-4*m*(m - 4)**2*(m - 2)
Let b(s) be the third derivative of -s**7/525 + 37*s**6/300 - 6*s**5/25 + 3636*s**2. Let b(t) = 0. Calculate t.
0, 1, 36
Suppose -780 - 3/2*f**3 + 393*f + 777/2*f**2 = 0. Calculate f.
-2, 1, 260
Suppose -120 = -13*a - 17*a. Let y be -11 + 42/a + (-10)/(-4). Let -1/2*o**5 - 2*o**3 + o**y + 5/2*o + 1 - 2*o**4 = 0. What is o?
-2, -1, 1
Let r(n) be the first derivative of 15 - 3/8*n**3 + 1/8*n**2 + 0*n. Determine a so that r(a) = 0.
0, 2/9
Let d(w) be the third derivative of w**6/1380 - 8*w**5/115 + 311*w**4/276 + 120*w**3/23 + 2*w**2 - 2031*w. Determine c so that d(c) = 0.
-1, 9, 40
Let s(c) be the first derivative of 20/3*c**2 + 1/6*c**4 - 17/9*c**3 + 74 - 16/3*c. Determine h, given that s(h) = 0.
1/2, 4
Factor 155 - 15/2*w**2 - 455/2*w.
-5*(w + 31)*(3*w - 2)/2
Suppose 5*o + 233*x = 228*x + 30, 2*x = 8. Let j(h) be the third derivative of 1/150*h**5 + 7*h**o + 0*h + 0 - 2/5*h**3 - 1/60*h**4. Factor j(p).
2*(p - 3)*(p + 2)/5
Suppose 2 + 4 = -744*d + 748*d - 2. Factor -52/5*m**3 + 252/5*m**d + 4/5*m**4 - 108*m + 432/5.
4*(m - 4)*(m - 3)**3/5
Let u(x) be the first derivative of x**7/4200 + x**6/225 + 7*x**5/200 + 3*x**4/20 + 9*x**3 + 5. Let b(y) be the third derivative of u(y). Solve b(c) = 0.
-3, -2
Let x(p) be the first derivative of -59 - 2*p**4 + 4/5*p**5 + 0*p - 32/3*p**3 + 0*p**2. Find s, given that x(s) = 0.
-2, 0, 4
Let h(t) be the third derivative of t**5/390 - 71*t**4/52 + 80*t**3/3 - 11280*t**2. Factor h(s).
2*(s - 208)*(s - 5)/13
Let s be -5*5 - (-123510)/3450. Factor 57/5 - 3/5*x**2 - s*x.
-3*(x - 1)*(x + 19)/5
Suppose 0 = 259*i - 2888 + 2111. Find m such that -99/7*m**i - 12/7 - 303/7*m**2 - 216/7*m = 0.
-2, -1, -2/33
Let g(k) be the first derivative of -4*k**3/3 - 22*k**2 + 1104*k - 2041. Factor g(j).
-4*(j - 12)*(j + 23)
Factor 4 - 19 + 11 - 78*x**2 + 3 - 490*x**2 - 569*x.
-(x + 1)*(568*x + 1)
Suppose -6*c + 21*c - 45 = 0. Find u, given that -5*u**c - 52*u**2 - 56*u + 80 - 20*u**4 + 2*u**5 + 49*u**3 + 18*u**3 = 0.
-1, 2, 5
Let y(n) = n**3 - 11*n**2 - 10. Let k be y(11). Let q be (-50)/(-125)*(-2)/(4/k). Factor 5*z + z**3 + 3 + 1 - 3 - 4*z**q - 3.
(z - 2)*(z - 1)**2
Find w, given that 0 - 1/7*w**3 + 0*w - 1/7*w**2 = 0.
-1, 0
Let a(f) be the second derivative of -f**7/147 - 79*f**6/35 - 14851*f**5/70 - 32089*f**4/14 - 214360*f**3/21 - 158700*f**2/7 - 2819*f. Solve a(m) = 0 for m.
-115, -3, -2
Let a(b) be the second derivative of 4/3*b**3 - 1/15*b**6 - 3/2*b**4 - 1 + 3/5*b**5 - 26*b + 0*b**2. Let a(y) = 0. What is y?
0, 1, 4
Let d(a) be the first derivative of -27*a**5/20 - 51*a**4/16 + 553*a**3/6 + 251*a**2/2 + 42*a + 1605. Solve d(s) = 0 for s.
-7, -2/3, -2/9, 6
Let q(a) be the first derivative of 59 - 4*a**4 - 40*a**2 + 4/5*a**5 - 24*a**3 - 28*a. Solve q(v) = 0.
-1, 7
Let v(u) = -2*u**3 - 1637*u**2 + 3290*u - 1646. Let z(t) = 5*t**3 + 4093*t**2 - 8225*t + 4115. Let h(i) = -12*v(i) - 5*z(i). Suppose h(l) = 0. Calculate l.
-823, 1
Suppose 0 = 2*s - 3*x - 1166, -2*x + 346 = s - 244. Find r such that -8*r**2 - 4*r**5 + 12*r**3 + 586*r - s*r = 0.
-2, 0, 1
Suppose k - 2*o = -3, 0 = 14*k - 13*k - 5*o + 15. Let r(v) = -4*v**3 + 7*v**2 - 11*v - 2. Let d(b) = b**3 - b**2 + 2*b. Let x(w) = k*d(w) + r(w). Factor x(s).
(s - 1)*(s + 1)*(s + 2)
Let o(j) be the third derivative of -25/24*j**4 + 1/12*j**5 + 0*j - 189*j**2 + 0 - 5*j**3. Factor o(w).
5*(w - 6)*(w + 1)
Let h(m) be the second derivative of m**4/138 + 34*m**3/23 - 208*m**2/23 + 6106*m. Suppose h(f) = 0. What is f?
-104, 2
Let o be (((-20)/5 - -1) + 6 + -5)*-1. Let g(c) be the first derivative of -7 + 0*c + 1/9*c**3 + 1/24*c**4 + 0*c**o. Factor g(v).
v**2*(v + 2)/6
Find l, given that -159792 + 28*l - 159785 + 319553 - 4*l**3 = 0.
-3, 1, 2
Let a(y) be the third derivative of -y**5/12 + 25*y**4/12 - 15*y**3/2 - 577*y**2 + 2*y. Suppose a(m) = 0. Calculate m.
1, 9
Let x(q) be the second derivative of q**4/3 - 4076*q**3/3 + 2076722*q**2 + 1353*q - 1. Let x(i) = 0. What is i?
1019
Factor 22 - 253*u**3 + 382*u**3 + 286 - u**4 - 279*u**3 - 768*u + 611*u**2.
-(u - 2)*(u - 1)**2*(u + 154)
Let m be 44/(-55)*-25 + -5. Let y be 7/1 + (16 - 91)/m. Factor 7/3*s**y + 1/3*s**3 + 0 + 2*s.
s*(s + 1)*(s + 6)/3
Let m(p) be the first derivative of -3*p**4/4 + 3*p**2/2 - 6634. Suppose m(z) = 0. What is z?
-1, 0, 1
Let i(r) be the third derivative of 3*r**2 + 4*r + 7/100*r**5 + 10/3*r**3 - r**4 + 0 - 1/600*r**6. Factor i(c).
-(c - 10)**2*(c - 1)/5
Suppose 0 = -41*v - 9*v + 24500. Let r = 494 - v. Factor -16*c**2 - 4/3*c**r - 40/3*c - 4 - 8*c**3.
-4*(c + 1)**3*(c + 3)/3
Let p(s) be the third derivative of s**6/2520 - s**5/840 - s**4/84 - 67*s**3/3 - 100*s**2. Let y(z) be the first derivative of p(z). Factor y(o).
(o - 2)*(o + 1)/7
Suppose -40 = x - 2*x. Let s be 160/16 + -7 - (-1)/((-1)/(-2)). Factor 20*u + x*u + s*u**3 - 7 - 30*u**2 - 33.
5*(u - 2)**3
Suppose r - 185 = -170. Factor -23 + 63*z - 20*z**3 - 17*z**3 - r*z**2 - 58 - 17*z**3 + 55*z**3.
(z - 9)*(z - 3)**2
Suppose -5*s**5 + 616*s**4 - 596*s**4 - 110*s**2 - 680 + 800 - 10*s**3 + 25*s**3 + 20*s = 0. Calculate s.
-2, -1, 2, 3
Let g(j) = j**4 - j**3 - j - 1. Let n(q) = 70*q**4 + 400*q**3 + 1365*q**2 + 1290*q + 385. Let r(v) = -65*g(v) + n(v). Determine y, given that r(y) = 0.
-90, -1
Let d(c) be the first derivative of c**6/45 - 4*c**5/15 + c**4 - 16*c**3/9 + 5*c**2/3 + 64*c + 95. Let g(p) be the first derivative of d(p). Factor g(z).
2*(z - 5)*(z - 1)**3/3
Let f = -54750 - -54776. Factor -1/2*w**5 - 32*w - f*w**3 - 6*w**4 - 48*w**2 + 0.
-w*(w + 2)**2*(w + 4)**2/2
Suppose 0 = 10*i - 14*i - 8. Let x = i + 4. Find l, given that -7*l + 13*l**2 + 2 + 7*l**2 - x*l**3 - 13*l**2 = 0.
1/2, 1, 2
Let r(t) be the third derivative of t**6/24 + 4*t**5 + 75*t**4/8 - 235*t**3/3 + 4*t**2 + 3. Factor r(l).
5*(l - 1)*(l + 2)*(l + 47)
Let x be 117*32/(-36)*-6. Suppose -105*k**4 + 2160*k + 580*k**3 + 185*k**4 + x*k**2 + 4*k**5 + 864 + 1176*k**2 = 0. What is k?
-6, -1
Let p = -160/381 + 1021/1524. Let 1 + p*a**4 + 13/4*a**2 + 3/2*a**3 + 3*a = 0. Calculate a.
-2, -1