. Factor s(n).
-3*(n + 10)*(n + 22)/8
Let n(v) be the first derivative of -5*v**6/14 + 306*v**5/35 + 1395*v**4/28 - 802*v**3/7 + 360*v**2/7 + 2052. Let n(b) = 0. Calculate b.
-5, 0, 2/5, 1, 24
Let r(s) be the first derivative of 5/3*s**2 - 5/6*s**4 + 1/6*s**5 - 10/3*s + 5/6*s**3 - 55. What is n in r(n) = 0?
-1, 1, 2
Suppose 6*u - 4*u = 18. Let k = u + 18. Determine p, given that k*p**4 - 4*p**2 - 6*p**3 + 2*p**5 - 4*p**3 - 26*p**4 + 2*p**3 = 0.
-2, -1/2, 0, 2
Let k(v) be the second derivative of -v**4/18 - 44*v**3/3 - 1452*v**2 + 3*v - 5. Factor k(w).
-2*(w + 66)**2/3
Let r be (6 - 7)*(34 + -1). Let l = r + 36. Find m, given that 117*m**l + 5*m - 3*m - 119*m**3 = 0.
-1, 0, 1
Suppose 243 = 7*d + 75. Let n = -21 + d. Determine r so that -2*r**n + 72*r + r**3 - 78*r - 4*r**2 + 3*r**3 = 0.
-1, 0, 3
Let z = 44 - 625. Let y = 583 + z. What is h in 3/7*h**5 + 3/7*h + 0 + 0*h**y - 6/7*h**3 + 0*h**4 = 0?
-1, 0, 1
Let t(c) be the third derivative of -c**6/24 - 14*c**5/3 + 605*c**4/8 - 465*c**3 - 4*c**2 - 11*c + 7. Factor t(a).
-5*(a - 3)**2*(a + 62)
Let d be (36/10)/(134/3015). Let p = d + -78. Let 2/7*b**5 - 6/7*b**p + 4/7*b + 2/7*b**2 + 0 - 2/7*b**4 = 0. What is b?
-1, 0, 1, 2
Suppose 78 = 2*v - 4*b + 226, 2*v + 146 = 3*b. Let d be (-26)/(-130) - 146/v. Let -4/7*x + d*x**3 + 0 - 10/7*x**4 - 2/7*x**2 = 0. Calculate x.
-2/5, 0, 1
Let m be (-48)/(-14)*(-2296)/(-4428). Let s(f) be the first derivative of -4/27*f**3 - 4/9*f**2 + m*f + 28 + 1/18*f**4. Factor s(r).
2*(r - 2)**2*(r + 2)/9
Let c be (-48)/(-120)*10 + 1*-2. Let o(r) be the first derivative of -3*r**c + 8 + 0*r + 2/3*r**3. Find i, given that o(i) = 0.
0, 3
Suppose -4*f - 27 = -6*f + 3. Let s(a) be the second derivative of -1/285*a**6 + 0*a**2 + 1/114*a**4 - 1/57*a**3 + f*a + 0 + 1/190*a**5. Factor s(q).
-2*q*(q - 1)**2*(q + 1)/19
Let q(x) be the first derivative of 115 - 27*x**2 - 1/2*x**3 - 102*x. Find t such that q(t) = 0.
-34, -2
Let g(b) be the third derivative of 5/4*b**4 + 32*b + 5*b**2 - 1/120*b**5 - 59/12*b**3 + 0. Factor g(k).
-(k - 59)*(k - 1)/2
Suppose 2*i - 34 = -2*l, 691*l - 686*l = 65. Suppose 5*j**4 - 2*j**2 - i*j**5 + 0 + 3/2*j**3 - 1/2*j = 0. What is j?
-1/2, -1/4, 0, 1
Let d be 8/(-6)*(-29)/290. Let k(g) be the first derivative of -2/5*g**2 - d*g**3 - 2/5*g + 9. Determine v so that k(v) = 0.
-1
Let g(p) be the second derivative of 1/60*p**4 - 3 + 6/5*p**2 + 7/30*p**3 + 22*p. Solve g(y) = 0.
-4, -3
Factor -24233*k**2 + 1964911 + 4037*k + 999*k + 4375413 + 24234*k**2.
(k + 2518)**2
Suppose 186/7*v**2 - 2/7*v**3 + 576/7*v + 0 = 0. What is v?
-3, 0, 96
Let l(d) be the third derivative of d**5/270 + d**4/6 + 17*d**3/27 + 1196*d**2. Factor l(z).
2*(z + 1)*(z + 17)/9
Let d = 502 - 481. Suppose -d*s = 12*s - 99. Factor 1/5*n**3 + s*n - 9/5 - 7/5*n**2.
(n - 3)**2*(n - 1)/5
Let q(i) be the first derivative of -605*i**5/7 + 9185*i**4/14 - 28549*i**3/21 + 1002*i**2/7 - 36*i/7 - 1206. Factor q(w).
-(w - 3)**2*(55*w - 2)**2/7
Let p be -1*(-3 + (9 - 10)). Suppose -36*k + 41*k = -p*l + 12, 2*k + 5*l - 15 = 0. Factor 0 + k*s**2 - 1/3*s**3 + 1/3*s**5 + 0*s**4 + 0*s.
s**3*(s - 1)*(s + 1)/3
Let u be -3 - (-35)/(-847)*-75. Let v = u + 400/847. Find x, given that -2/7*x**3 + 2/7 + 1/7*x + 2/7*x**4 + 1/7*x**5 - v*x**2 = 0.
-2, -1, 1
Let o(u) be the first derivative of 3*u**4/4 - 7*u**3 - 66*u**2 + 4227. Let o(y) = 0. Calculate y.
-4, 0, 11
Suppose -114*a - 13 = r - 221*a + 111*a, 0 = 5*a + 20. Determine w, given that 25 + 91/4*w**2 - 9/8*w**r - 235/2*w = 0.
2/9, 10
Let d = 25009 - 25005. Let q(w) be the first derivative of -2/5*w**5 + 2/3*w**3 + 1/2*w**d - 1/3*w**6 + 0*w - 26 + 0*w**2. Determine b, given that q(b) = 0.
-1, 0, 1
Factor 1/6*c**2 - 83/3 + 27/2*c.
(c - 2)*(c + 83)/6
Suppose -72 = -8*p, 4*j - 201*p - 48 = -205*p. Factor 4/7 - 1/7*u**j - 9/7*u + 6/7*u**2.
-(u - 4)*(u - 1)**2/7
Solve -343/4*q**4 + 905*q + 15043/4*q**3 - 6363/2*q**2 - 86 = 0 for q.
2/7, 43
Suppose 33*v = -145*v + 1068. Let l(j) be the second derivative of -1/2*j**3 - 1/8*j**v + 1/2*j**4 + 0*j**2 + 3*j + 0 + 21/80*j**5. Suppose l(a) = 0. What is a?
-1, 0, 2/5, 2
Let f be (-363 + 319)*(-3)/12 + (-152)/14. Suppose -16/7*o - 64/7 - f*o**2 = 0. What is o?
-8
Suppose -4*l - 3*c - 8 = 0, -5*l - 6 = -3*l + 2*c. Suppose 0 - l = 5*s - 4*n, -2*n = -8. Factor 0*q**2 + 12*q**2 + 24*q**s + 8*q**2 - 4*q.
4*q*(q + 1)*(6*q - 1)
Let p be (-255 + -5)/(-20) + 2*171/(-42). Factor -180/7*n**2 + 432/7 - 2/7*n**4 - p*n**3 - 216/7*n.
-2*(n - 1)*(n + 6)**3/7
Let a(j) be the second derivative of 1/6*j**6 + 0*j**3 - 5/6*j**4 + 0*j**2 + 1/4*j**5 + 7 - j. Factor a(m).
5*m**2*(m - 1)*(m + 2)
What is b in -7/2 - 3/2*b**2 - 1/8*b**3 - 39/8*b = 0?
-7, -4, -1
Suppose -5*f = -3*o + 34, 2*o - 8 = -3*f - f. Let s = o - -132. Suppose -4*x**3 + 84 + 84 - s*x + 18*x**2 - 70*x**2 + 28 = 0. What is x?
-7, 1
Let w be 25/51*(-8064)/(-3360). Determine k so that 2/17*k**5 + 6/17*k**4 - 18/17 + 42/17*k - w*k**2 - 12/17*k**3 = 0.
-3, 1
Let b(u) be the third derivative of -36*u**2 + 0*u + 29/6*u**3 + 1/40*u**5 + 0 - 1/6*u**4 + 1/360*u**6. Let k(f) be the first derivative of b(f). Factor k(p).
(p - 1)*(p + 4)
What is r in -8*r - 5*r**2 + 2*r**2 + 29572 - 12*r + 5*r - 29581 + 3*r**3 = 0?
-1, 3
Suppose -2*l = -5*v - 8, 13437*l - 107 = -4*v + 13426*l. Suppose 26/15*u**v + 0 + 0*u**3 - 2/15*u**4 + 8/5*u = 0. What is u?
-3, -1, 0, 4
Find l such that -385 + 58*l**4 - 2*l**5 + 2144*l**2 - 536*l**3 - 14003*l + 2433 + 10291*l = 0.
1, 4, 16
Suppose 13*s = 10*s + 978. Let h = 638 + -621. Factor -5*d**2 - 72*d + h*d + 386 - s.
-5*(d - 1)*(d + 12)
What is s in 0*s - 80/21*s**3 + 38*s**2 + 2/21*s**4 + 0 = 0?
0, 19, 21
Let i = 42 - 35. Let q be 2 - ((-2)/i - (-2)/7). Solve -5*n - q*n - 8 + n + 2*n**2 = 0 for n.
-1, 4
Let m(y) be the third derivative of y**9/1680 - y**8/700 + y**7/1050 - y**4/6 - y**3/6 - 2*y**2. Let c(i) be the second derivative of m(i). Factor c(o).
3*o**2*(3*o - 2)*(5*o - 2)/5
Let q(j) be the first derivative of j**5/40 - j**4/4 + j**3/12 + 2*j**2 + 21*j/8 + 509. Factor q(d).
(d - 7)*(d - 3)*(d + 1)**2/8
Let p(s) = -9*s**2 - 716*s - 725. Let j(m) = 47*m**2 + 3578*m + 3630. Let g(u) = 2*j(u) + 11*p(u). Factor g(x).
-5*(x + 1)*(x + 143)
Let u(y) be the first derivative of -64 + 0*y + 2/45*y**5 + y**2 - 34/27*y**3 + 7/18*y**4. Let u(i) = 0. Calculate i.
-9, 0, 1
Let c(x) be the first derivative of -x**3/2 + 198*x**2 + 795*x/2 + 119. Determine u so that c(u) = 0.
-1, 265
What is u in -291/5*u + 3/5*u**3 + 198/5 + 18*u**2 = 0?
-33, 1, 2
Let r(n) = -93*n + 61*n - 1 + 2*n**2 - 10*n**2 + 5. Let q(t) = 24*t**2 + 97*t - 13. Let l(u) = 6*q(u) + 17*r(u). Suppose l(w) = 0. Calculate w.
-5, 1/4
Let g be (2 - 14/16)*(-7)/(-42). Let m(z) be the first derivative of g*z**4 + 21/8*z**2 - 7 + 9/4*z + 5/4*z**3. Determine p, given that m(p) = 0.
-3, -1
Let n = 163/266 + -223/798. Suppose -p + 5*p - 18 = 2*c, -4*c - 20 = 0. Determine g so that -g + 0 + n*g**p = 0.
0, 3
Let k = 40 + -99. Let w = k + 166. Factor -w*y**2 + 226*y**2 - 109*y**2 - 5*y**3.
-5*y**2*(y - 2)
Let n(l) = -11*l**2 - 449*l - 775. Let z be n(-39). Suppose 3/2 - 1/3*d**2 - 7/6*d**4 + 5/2*d - 7/3*d**3 - 1/6*d**z = 0. What is d?
-3, -1, 1
Let r be ((-154)/(-55))/((-2121)/(-1010)). Let -8/3 + 1/3*u**5 - 14/3*u**2 + r*u**4 + 1/3*u**3 - 20/3*u = 0. What is u?
-2, -1, 2
Let d(f) be the second derivative of 11*f**6/40 - 207*f**5/80 + 9*f**4/8 + 2559*f - 1. Determine y, given that d(y) = 0.
0, 3/11, 6
Let h = -580564 - -580566. Find c such that 0 + 4/5*c**h + 0*c - 2/5*c**3 = 0.
0, 2
Let m(w) = w**3 + 20*w**2 - 19*w + 47. Let k be m(-21). Factor -22*s**4 - 13*s**4 + 82*s**3 - 7*s**4 + 65*s**3 + 3*s**k.
3*s**3*(s - 7)**2
Let j = -2/22021 + 22025/44042. Factor -j*x + 1/3 + 1/6*x**2.
(x - 2)*(x - 1)/6
Let t = -170 + 170. Let x(m) be the third derivative of 0*m**3 - 1/90*m**5 + 0 + t*m**4 - 11*m**2 + 0*m. Factor x(z).
-2*z**2/3
Let k(h) be the second derivative of 1088/15*h**3 + 2/25*h**5 + 13/3*h**4 + 84*h + 512/5*h**2 + 0. Find n, given that k(n) = 0.
-16, -1/2
Let c = -1049 + 1035. Let h be (3 - -3) + c - -10. What is m in 1/2*m**4 - 1/2 - m**3 + 0*m**h + m = 0?
-1, 1
Let i(s) be the first derivative of -14/13*s**3 + 0*s + 18/13*s**2 - 2/65*s**5 + 4/13*s**4 - 135. Factor i(t).
-2*t*(t - 3)**2*(t - 2)/13
Let l(r) = r**5 + 2 - 19*r*