uch that -80 - 75*n**2 - 38*n + 7*n**2 - n**4 + 5*n**4 - 106*n = 0.
-2, -1, 5
Let f = 11555/2 - 5767. Find v such that 21/2*v + 33/2*v**2 - f*v**3 + 3/2 - 18*v**4 = 0.
-1, -1/3, -1/4, 1
Let j(s) be the third derivative of 14*s**2 - 1/66*s**5 - 1/1155*s**7 - 1/165*s**6 + 0*s + 0*s**3 + 0 - 1/66*s**4. Factor j(x).
-2*x*(x + 1)**2*(x + 2)/11
Suppose -5*d + 0 = -4*l + 3, -5*l + 14 = 4*d. Factor 0*y**2 + 170 - y**l - 166.
-(y - 2)*(y + 2)
What is b in -2/3*b**5 + 0*b + 2/3*b**3 + 2/9*b**2 - 2/9*b**4 + 0 = 0?
-1, -1/3, 0, 1
Let u(k) be the first derivative of 5*k**6/6 - 2*k**5 - 25*k**4/4 + 50*k**3/3 + 10*k**2 - 40*k + 717. Suppose u(n) = 0. Calculate n.
-2, -1, 1, 2
Let a be ((-4)/(-3) + (-1155)/(-18))*2. Let k = a + -127. What is d in 0 + 28/3*d**2 + 5/3*d**k + 8/3*d + 22/3*d**3 = 0?
-2, -2/5, 0
Let m(z) = -1. Let o(t) = 3 - 108*t**2 + 143*t**2 + 2 - 45*t. Let s(q) = 5*m(q) - o(q). Determine k so that s(k) = 0.
2/7, 1
Let v be (-2 + 5 + -7 - -11) + -4. Let b(z) be the first derivative of 2/27*z**v + 4/9*z + 1/3*z**2 - 6. Factor b(l).
2*(l + 1)*(l + 2)/9
Factor -16 + 5*b**2 + 101 + 26*b + 64*b.
5*(b + 1)*(b + 17)
Let d(j) be the third derivative of 0*j + 0 - 1/90*j**5 - 1/9*j**3 - 1/18*j**4 + 8*j**2. Suppose d(h) = 0. Calculate h.
-1
Let b be (-3665)/25 + -4*(-2)/(-20). Let w = 149 + b. What is x in 10/3*x - 2/3*x**w - 8/3 = 0?
1, 4
Let o = -162 + 168. Let c(y) be the third derivative of 0*y**4 + 1/360*y**o - 1/180*y**5 + 0 + 0*y**3 + y**2 + 0*y. What is g in c(g) = 0?
0, 1
Let o(p) be the third derivative of -p**7/210 + p**6/120 + 7*p**5/60 - 13*p**4/24 + p**3 - 245*p**2. Suppose o(l) = 0. What is l?
-3, 1, 2
Let j(m) be the third derivative of -1/195*m**5 + 0 + 0*m**3 + 2/1365*m**7 - 1/260*m**6 + 0*m - 2*m**2 + 1/728*m**8 + 0*m**4. What is v in j(v) = 0?
-1, -2/3, 0, 1
Factor -12*g + 1171 + 8*g**3 + 20*g**4 + 4*g**3 - 28*g**2 - 1163.
4*(g - 1)*(g + 1)**2*(5*g - 2)
Let n(r) be the second derivative of r**7/630 - r**6/90 - 5*r**4/6 - 25*r. Let s(w) be the third derivative of n(w). Determine o, given that s(o) = 0.
0, 2
Let z(j) = -j**3 + j**2 + j - 1. Let r(q) = 2*q + 24. Let k be r(-11). Let o(a) = -1 + 0 - a + 4 - k. Let d(l) = -2*o(l) - 2*z(l). Suppose d(b) = 0. What is b?
0, 1
Let u(h) = -h**3 - 5*h**2 - 6*h - 376. Let w be u(-9). Find b, given that -8/19*b**3 + 0 + 2/19*b**4 - 4/19*b + 10/19*b**w = 0.
0, 1, 2
Let y(q) be the third derivative of 0 + 1/20*q**6 + 0*q**5 + 0*q - 1/70*q**7 - 26*q**2 - 1/4*q**4 + 1/2*q**3. Determine z so that y(z) = 0.
-1, 1
Let 2*n**2 - 4*n**2 + 7*n**2 + 150 + 5*n**2 - 81*n - 7*n**2 = 0. What is n?
2, 25
Let 0*a**2 - 6/5*a**4 + 2/5*a**5 + 4/5*a**3 + 0 + 0*a = 0. What is a?
0, 1, 2
Let y = 1189/2 - 592. What is t in -y*t**3 - 1/2*t + t**4 + 2*t**2 + 0 = 0?
0, 1/2, 1
Let i(h) be the first derivative of -21*h**5/2 + 103*h**4/8 + h**3/3 - 306. Find m such that i(m) = 0.
-2/105, 0, 1
Suppose 21*u = 23*u - 12. Factor 50*o + 113 + 5*o**2 + 12 + 6*o - u*o.
5*(o + 5)**2
Factor 3*l**3 - 101*l + 452*l - 486 - 36*l**2 - 24*l**2.
3*(l - 9)**2*(l - 2)
Let v(b) be the second derivative of 1/6*b**2 + 13*b + 0 - 1/72*b**4 + 1/36*b**3. Let v(t) = 0. What is t?
-1, 2
Let c(b) be the second derivative of -b**5/10 - b**4/2 + 10*b**3/3 + 24*b**2 - 115*b. Suppose c(u) = 0. What is u?
-4, -2, 3
Let i(p) be the first derivative of -p**5/5 + 41*p**4/4 - 133*p**3 - 441*p**2/2 - 128. Let i(a) = 0. Calculate a.
-1, 0, 21
Factor 17*t**2 - 7*t**2 - 25 + 11*t + 4*t.
5*(t - 1)*(2*t + 5)
Let m(n) be the second derivative of n**5/130 + 49*n**4/26 + 2401*n**3/13 + 117649*n**2/13 - 20*n + 6. Find y such that m(y) = 0.
-49
Let v(j) be the third derivative of -j**7/16380 + j**6/2340 + 2*j**4/3 + 2*j**2 + 11*j. Let w(u) be the second derivative of v(u). Factor w(t).
-2*t*(t - 2)/13
Let s(m) be the second derivative of -m**7/16380 - m**6/2340 - m**5/780 + m**4/12 + 4*m. Let i(h) be the third derivative of s(h). Factor i(z).
-2*(z + 1)**2/13
Let o be (-7)/3 + 1630/489 - (-14)/(-18). Find y such that -o*y**2 + 0*y + 0 = 0.
0
Factor -601 + 10*u**2 - 78*u - 2*u**2 + 581.
2*(u - 10)*(4*u + 1)
Let k(z) be the second derivative of 0*z**2 + 3*z - 2*z**3 + 4/3*z**4 + 0 - 1/5*z**5. Determine n, given that k(n) = 0.
0, 1, 3
Let -60 + 128 - 66 + 15*g**2 - 25*g**2 + 19*g = 0. What is g?
-1/10, 2
Let b be (5211/(-648))/(3/4*-1). Let g = b + -2/9. Determine o so that -2 - g*o**2 - o**3 + 7/2*o**4 + 10*o = 0.
-2, 2/7, 1
Let r(s) be the third derivative of -s**8/90720 - s**7/11340 - s**6/3240 + s**5/6 - 5*s**2. Let d(f) be the third derivative of r(f). Factor d(y).
-2*(y + 1)**2/9
Let j = 57/62 - 70/93. Let s(z) be the second derivative of 25/12*z**4 + 5/2*z**3 + 0 - j*z**6 + 1/4*z**5 + 0*z**2 + 11*z. Suppose s(m) = 0. Calculate m.
-1, 0, 3
Factor 6*k**3 - 13*k - 3*k**3 - 2*k - 100 - 2*k**3 + 0*k**2 + 6*k**2.
(k - 4)*(k + 5)**2
Let z(a) be the third derivative of a**5/30 + 3*a**4/4 + 20*a**3/3 - 13*a**2. Factor z(q).
2*(q + 4)*(q + 5)
Let f(y) be the third derivative of -y**7/840 - y**6/96 + y**5/240 + 17*y**4/96 - y**3/2 - 298*y**2 + y. Factor f(d).
-(d - 1)**2*(d + 3)*(d + 4)/4
Let q be 15/(-6)*(-1 - (-1 - -2)). Suppose -3*o**q - 12*o + 14*o**3 - 5*o**3 + 6*o**3 = 0. Calculate o.
-2, -1, 0, 1, 2
Suppose 16*w + 48 = 19*w. Suppose 3 = -h, -w*h = 5*x - 11*h. Factor 11*d**2 + 3/2 + 1/2*d**5 + 7/2*d**4 + 9*d**x + 13/2*d.
(d + 1)**4*(d + 3)/2
Let c(m) be the second derivative of m**7/14 + m**6/10 - 9*m**5/10 - m**4 + 4*m**3 - 172*m + 1. Factor c(i).
3*i*(i - 2)*(i - 1)*(i + 2)**2
Let t(s) be the first derivative of -s**5/20 + s**4/4 - s**3/4 - 81. Determine f, given that t(f) = 0.
0, 1, 3
Let t(r) = 45*r**4 + 492*r**3 + 693*r**2 + 270*r + 12. Let b(f) = 18*f**4 + 197*f**3 + 277*f**2 + 108*f + 5. Let v(m) = 12*b(m) - 5*t(m). Factor v(j).
-3*j*(j + 1)*(j + 9)*(3*j + 2)
Let q(x) be the second derivative of -x**6/2 + 5*x**5/4 + 35*x**4/6 - 50*x**3/3 - 20*x**2 + 2*x - 54. Suppose q(h) = 0. Calculate h.
-2, -1/3, 2
Let y(l) be the second derivative of 0 + 3/4*l**3 - 1/28*l**7 - 3*l - 3/20*l**5 + 3/20*l**6 - 1/4*l**4 - 3/4*l**2. Solve y(z) = 0.
-1, 1
Factor -19/4*x**2 + 1/4*x**3 - 5*x + 0.
x*(x - 20)*(x + 1)/4
Let y(o) be the second derivative of -2*o**6/15 - 22*o**5/5 - 48*o**4 - 256*o**3/3 + 2048*o**2 + 154*o. Suppose y(c) = 0. What is c?
-8, 2
Let a = 284/4185 + -1/837. Let b(g) be the third derivative of 1/3*g**4 + 0 + 2/3*g**3 - 10*g**2 + 0*g + a*g**5. Suppose b(t) = 0. What is t?
-1
Let k(j) be the first derivative of -63/2*j**2 - 6*j + 18 - 59*j**3 - 45/4*j**4 + 15*j**5. Factor k(l).
3*(l - 2)*(l + 1)*(5*l + 1)**2
Let y(v) = 2*v**3 + 43*v**2 + 68*v + 36. Let g(h) = -3*h**3 - 42*h**2 - 67*h - 34. Let d(j) = -3*g(j) - 2*y(j). Factor d(t).
5*(t + 1)**2*(t + 6)
Let l = -1/3212 + 1205/1606. Determine b, given that -3/4*b**3 - 9/4*b**2 + 3/2*b**4 + l + 3/4*b = 0.
-1, -1/2, 1
Suppose -x = 2*x - 12. Factor 0 - 2 - 4*r + x*r**3 + 4*r**2 + 2 - 4*r**4.
-4*r*(r - 1)**2*(r + 1)
Suppose l - 10*l + 7182 = 0. Suppose -20*o**2 + l*o**4 + 33*o**3 - 7*o + 16 - 21*o - 789*o**4 = 0. Calculate o.
-4, -1, 2/3
Let c(u) = 3*u - 9. Let f(z) = -z**3 - 8*z**2 + 8*z - 5. Let r be f(-9). Let x be c(r). Find t such that t**4 + t**2 - 3*t**3 - 2*t**3 + x*t**3 + 0*t**3 = 0.
0, 1
Let f be (594 - 594)/(0 + 1 - 3). Solve 4/5*u**2 + f*u - 4/5 = 0 for u.
-1, 1
Let k(m) be the first derivative of -189*m**4/4 - 152*m**3 - 82*m**2 - 16*m + 9. Solve k(w) = 0 for w.
-2, -2/9, -4/21
Let y(w) = w**2 + w. Let s be 1/1 + (18 - 7). Suppose s - 7 = -5*u. Let x(d) = -8*d**2 - 4*d + 4. Let m(l) = u*x(l) - 10*y(l). Suppose m(b) = 0. Calculate b.
-2, -1
Let r(j) be the first derivative of 2/9*j**3 - 2/3*j - 5 + 5/3*j**2 - 5/6*j**4. Find b, given that r(b) = 0.
-1, 1/5, 1
Suppose -4*u + 16 = 4. Suppose -7*p = -u*p - 32. Solve p*s**3 - 4*s - 4*s**5 - 23 + 23 = 0.
-1, 0, 1
Let g be 6 + -2 + 8*-1. Let s be 2/8*18 + g. Factor s*m**2 + 1 + 3/2*m.
(m + 1)*(m + 2)/2
Let l(o) be the third derivative of o**7/490 + o**6/70 + o**5/28 + o**4/28 - 118*o**2 + 2. Determine a, given that l(a) = 0.
-2, -1, 0
Let b be (-5 + 6)/(-4*1) - 2242/(-2888). Factor 6/19*l**2 + 4/19 - 2/19*l**4 - 2/19*l**3 + b*l.
-2*(l - 2)*(l + 1)**3/19
Suppose -291 - 104 = -5*n. Find j, given that n + 4*j**2 - 81 - 2*j**2 = 0.
-1, 1
Let u(s) be the second derivative