e the second derivative of 1/45*d**6 - 2/9*d**3 + 1/15*d**5 - 1/18*d**4 + 0*d**2 + 2*d + b. Factor l(z).
2*z*(z - 1)*(z + 1)*(z + 2)/3
Let w be (-17)/(-1) - (-10 - -1 - ((-5040)/16)/15). Suppose -20/9*r**3 - 58/3*r + 128/9*r**2 - 8/9*r**4 + 2/9*r**w + 8 = 0. Calculate r.
-4, 1, 3
Let z(j) = 36*j + 239 - 232 + 0*j**2 + j**2 - 10*j**2. Let l(n) = -4*n**2 + 17*n + 3. Let m(k) = 7*l(k) - 3*z(k). Suppose m(t) = 0. What is t?
0, 11
Let y(i) = 1828*i**2 - 153550*i - 168. Let c be y(84). Suppose -4/9*s**2 + 0*s + 2/9*s**4 - 2/9*s**3 + c = 0. Calculate s.
-1, 0, 2
Let k be (-20)/(-4) + -3 + -12 + 0. Let q be -2 - 1/(k/50). What is v in 8/9*v - 14/3*v**q + 0*v**2 + 0 + 20/9*v**4 = 0?
-2/5, 0, 1/2, 2
Let g = 4631/9300 - 46/93. Let o(b) be the third derivative of 0 - g*b**6 + 3*b**2 - 1/525*b**7 + 0*b**3 + 1/15*b**4 + 0*b + 2/75*b**5. Factor o(i).
-2*i*(i - 2)*(i + 1)*(i + 2)/5
Let n(j) be the first derivative of -j**6/3 + 14*j**5 - 129*j**4/2 + 314*j**3/3 - 62*j**2 - 8005. Suppose n(y) = 0. What is y?
0, 1, 2, 31
Let w = -113030 + 113035. Let m(p) = p**3 - 5*p**2 - 6*p + 2. Let x be m(6). Factor 1/11*o**w - 1/11*o**3 + 1/11*o**x + 0*o + 0 - 1/11*o**4.
o**2*(o - 1)**2*(o + 1)/11
Find d such that 0 - 1/4*d**4 + 0*d**2 + 29*d**3 + 0*d = 0.
0, 116
Let f(d) be the second derivative of -11*d**4/9 - 41*d**3/18 - 5*d**2/4 - 1625*d - 1. Suppose f(i) = 0. What is i?
-15/22, -1/4
Let r be -1 - (-4 - -4 - 11). Let j be ((24/r)/(-2))/((-6)/20). Factor -88*n**2 - 3 - 27*n**3 + 31*n**j - 32*n - 99*n**4 - 1 - 85*n**3 - 16*n**5.
-4*(n + 1)**4*(4*n + 1)
Let c(v) be the first derivative of -v**3/3 - 43*v**2 + 176*v + 585. Determine r, given that c(r) = 0.
-88, 2
Let a(j) be the third derivative of -2/9*j**4 + 0 - 4/9*j**3 - 1/18*j**5 - 4*j**2 - 1/180*j**6 + 0*j. Factor a(d).
-2*(d + 1)*(d + 2)**2/3
Let m(s) be the second derivative of 137/60*s**4 - 186 + 26/5*s**2 + 2*s - 92/15*s**3 - 1/20*s**5. Let m(p) = 0. What is p?
2/5, 1, 26
Let d(m) be the second derivative of -m**5/30 - 17*m**4/2 - 1925*m**3/3 + 5929*m**2/3 - 865*m. Factor d(t).
-2*(t - 1)*(t + 77)**2/3
Determine d, given that -2109*d - 70 - 5*d**4 + 1120*d - 35*d**3 + 1084*d + 15*d**2 = 0.
-7, -2, 1
Let w(y) be the first derivative of -5*y**4/22 + 376*y**3/33 + 691*y**2/11 + 492*y/11 + 1642. Suppose w(m) = 0. Calculate m.
-3, -2/5, 41
Let u(c) = -23*c**4 + 164*c**3 - 495*c**2 + 496*c - 75. Let f(h) = 22*h**4 - 164*h**3 + 494*h**2 - 496*h + 78. Let x(o) = 7*f(o) + 6*u(o). Factor x(b).
4*(b - 6)*(b - 2)**2*(4*b - 1)
Let 13140 - 4416*d + 49*d**2 + 147*d**3 + 142*d**3 + 328*d**2 - 290*d**3 = 0. Calculate d.
6, 365
Let m be ((-1641)/36 + 46)*4/10. Let p(t) be the first derivative of -8/9*t + 45 + m*t**4 + 20/27*t**3 - t**2. Let p(n) = 0. What is n?
-4, -1/3, 1
Let g = -627 + 631. Let y(f) be the third derivative of 0*f + 7/24*f**g - 1/120*f**6 + 0 - 1/30*f**5 - 2/3*f**3 - 10*f**2. Determine p so that y(p) = 0.
-4, 1
Let p be 20 - (-4984)/(-252) - (1/(-9))/1. Factor 1/3*j**5 - 1/3*j**4 + 0*j + 0 + p*j**2 - 1/3*j**3.
j**2*(j - 1)**2*(j + 1)/3
Let i be 0*9*24/(-864). Factor -68/7*y**2 - 80/7 + i*y**3 + 4/7*y**4 - 144/7*y.
4*(y - 5)*(y + 1)*(y + 2)**2/7
Let d(f) be the first derivative of -2*f**5/15 + 11*f**4/6 + 176*f**3/3 + 372*f**2 + 576*f + 1982. Solve d(j) = 0.
-6, -1, 24
Let m(r) = r**3 + r**2 - 6. Let c be m(0). Let k be 217/(-245) + 3 + c/(-21). Factor 18/5 + 2/5*y**2 - k*y.
2*(y - 3)**2/5
Factor -1/2*k**2 + 50*k - 99/2.
-(k - 99)*(k - 1)/2
Factor -132/7*m**3 + 6/7*m**4 + 1512 + 222/7*m**2 + 792*m.
6*(m - 14)**2*(m + 3)**2/7
Suppose -113788*f + 56887*f = -56853*f - 96. Let 27/4*s**f + 0*s + 9/2*s**3 + 3/4*s**4 + 0 = 0. What is s?
-3, 0
Let k(a) be the first derivative of -a**4/4 - 154*a**3/3 - 5929*a**2/2 - 1244. Factor k(q).
-q*(q + 77)**2
Let z(d) = 9*d**3 - 53*d**2 + 39*d. Let n(x) = -5*x**3 + 27*x**2 - 19*x. Let i(a) = -5*n(a) - 3*z(a). Solve i(l) = 0 for l.
0, 1, 11
Let w = 810541/60 - 13509. Let v(u) be the third derivative of 0*u - 1/24*u**4 + 0*u**3 + w*u**5 + 0 - 23*u**2. Solve v(t) = 0 for t.
0, 1
Solve -93*d**3 - 90*d**3 + 262*d**3 + 321*d**3 - 5*d**4 = 0 for d.
0, 80
Suppose 765*b**4 + b + 12289*b**2 + 29640*b**3 - 9531*b**2 + 5*b**5 + 26122*b**2 - b = 0. What is b?
-76, -1, 0
Let m(a) be the first derivative of a**8/1680 - 3*a**7/1120 + a**6/288 + 128*a**3/3 + 144. Let k(o) be the third derivative of m(o). Factor k(q).
q**2*(q - 1)*(4*q - 5)/4
Factor 10*l**3 - 154 - 141*l**2 - 688*l - 234*l - 617*l**2.
2*(l - 77)*(l + 1)*(5*l + 1)
What is m in -1384/11*m - 239432/11 - 2/11*m**2 = 0?
-346
Let f(v) be the second derivative of -v**6/15 - 3*v**5/2 - 34*v**4/3 - 32*v**3 - 10*v - 96. Find u, given that f(u) = 0.
-8, -4, -3, 0
Let g(i) be the second derivative of -14*i**6/15 - 51*i**5/5 - 46*i**4 - 328*i**3/3 - 144*i**2 - 6331*i. Suppose g(w) = 0. Calculate w.
-2, -9/7
Let i = 31 + -45. Let l be ((-9)/42*4)/(4/i). Find v such that -l*v**3 - 13*v**2 + 7*v**2 + 2*v - 5*v = 0.
-1, 0
Let t = -83297 + 83299. Factor -2/3*p**t - 8/3*p + 0.
-2*p*(p + 4)/3
Let b(t) be the second derivative of -t**7/14 + 22*t**6/5 - 6*t**5 - 65*t**4/2 + 41*t**3/2 + 129*t**2 - 854*t. Determine o, given that b(o) = 0.
-1, 1, 2, 43
Let a be 0 + ((-76)/570)/(8/(-10)). Let b(v) be the third derivative of -a*v**4 - 1/15*v**5 + 0 + 4/3*v**3 + 8*v**2 + 0*v. Factor b(g).
-4*(g - 1)*(g + 2)
Factor 3*v**2 + 4746*v - 9*v**2 + 8*v**2 - 4749 + v**2 + 0*v**2.
3*(v - 1)*(v + 1583)
Let v(x) = x**2 + 16*x + 32. Let s be v(-14). Find b such that -3*b**5 - s*b**4 + 0 + 78*b**2 - 39*b**3 - 20*b**4 + 192*b + 81 + 15 = 0.
-4, -1, 2
Find a such that -58*a + 4356*a**2 + 360 - 8712*a**2 + 4358*a**2 = 0.
9, 20
Let p(q) be the first derivative of q**6/240 - q**5/10 + 3*q**4/4 - 5*q**3/3 + 2*q + 219. Let l(k) be the third derivative of p(k). Suppose l(j) = 0. What is j?
2, 6
Suppose -760048980 + 3723674406 = 620*u - 3879899544 + 330812470. Factor 2450*a**3 - u + 1/5*a**5 + 1500625*a - 85750*a**2 - 35*a**4.
(a - 35)**5/5
Let 6845 - 74*f + 1/5*f**2 = 0. What is f?
185
Determine m so that 72/7 + 2/7*m**4 + 184/7*m + 44/7*m**3 + 22*m**2 = 0.
-18, -2, -1
Let v = 1032885/2 + -516320. Let w be 278/8 + 2/8. Factor w*j - 5/2*j**2 - v.
-5*(j - 7)**2/2
Let -187/2*j**2 + 1/2*j**3 - 8649/2 + 8835/2*j = 0. What is j?
1, 93
Let m(i) be the third derivative of -7*i**6/540 + 47*i**5/270 - 14*i**4/27 - 20*i**3/27 + 200*i**2. Determine r so that m(r) = 0.
-2/7, 2, 5
Let t(f) = 9*f**2 - 5238*f - 580800. Let g(d) = -2*d**2 + 1310*d + 145200. Let b(r) = -21*g(r) - 5*t(r). Factor b(u).
-3*(u + 220)**2
Let x(z) = -910*z**3 - 6135*z**2 + 2420*z. Let f(u) = -35*u**3 - 236*u**2 + 93*u. Let k(y) = -155*f(y) + 6*x(y). Factor k(s).
-5*s*(s + 7)*(7*s - 3)
Let n be 300/(-675)*(-75)/20*(-6)/(-5). Suppose 0 - 9/5*v - 1/5*v**n = 0. What is v?
-9, 0
Let v(a) be the first derivative of -10/7*a**4 - 48 + 20/7*a**2 + 2/35*a**5 + 6*a - 44/21*a**3. What is m in v(m) = 0?
-1, 1, 21
Let n = 10 - -21. Let r = 34 - n. Determine g, given that 21*g**3 + 49*g**r + 30*g**4 + 5*g**5 + 25*g + 80*g**2 - 3 + 13 + 20*g = 0.
-2, -1
Let b be (-12*11/(-176))/((-6)/(-16)). Suppose j - 6 = 6. Factor -58*l + b + 30*l - 10 - j*l**2.
-4*(l + 2)*(3*l + 1)
Let r(x) be the second derivative of x**6/30 - 9*x**5/4 + 50*x**4 - 1000*x**3/3 - 3*x - 1266. Let r(m) = 0. Calculate m.
0, 5, 20
Let b = -809 - -1237. Let w = 431 - b. Solve -30 + 20/3*u**2 + 5/3*u**w - 5*u = 0.
-3, 2
Let r(w) = 3*w**3 + 44 + 8*w - 2*w**3 + 0*w**3 - 5*w**2. Let x(g) = -9*g**3 + 39*g**2 - 63*g - 354. Let i(p) = -33*r(p) - 4*x(p). Find d such that i(d) = 0.
-3, -2, 2
Let j = -13831/155 - -2822/31. Let 1/5*o**4 - 4/5*o + j*o**3 + 18/5*o**2 - 24/5 = 0. What is o?
-6, -2, 1
Let h be 24311/20286 - (-16)/(-14). Let j(u) be the first derivative of 26 + 2/3*u**4 - 1/3*u**5 - 4/9*u**3 + 0*u**2 + h*u**6 + 0*u. Solve j(s) = 0.
0, 1, 2
Suppose -42 = -121*i + 107*i. Solve 75*o**2 - 56*o**3 + 4*o**4 - o**4 + 98*o**i + 36*o = 0 for o.
-12, -1, 0
Suppose -44*i = -39*i - 2510. Let x = -500 + i. What is c in -c**x - 1/2 + 5/4*c + 1/4*c**3 = 0?
1, 2
Let h(m) = 14*m**4 + 320*m**3 - 13440*m**2 - 24*m. Let w(z) = -2*z**4 + z**3 - z**2 + 3*z. Let d(i) = h(i) + 8*w(i). Let d(n) = 0. Calculate n.
0, 82
Let r(t) = 8*t - 58. Let k be r(32). Let n = k + -195. Factor -i**5 - 4/3*i*