e ((-4 + 3)*3)/((-57)/l). Determine f so that -14/5*f**3 + 0*f + 0 - 4/5*f**4 + 6/5*f**5 - 4/5*f**b = 0.
-1, -1/3, 0, 2
Let m = 230112 - 230100. Let m*s**4 + 99/4*s**2 + 42*s**3 - 21*s + 3 = 0. What is s?
-2, 1/4
Let u be (-3)/12 - 11/(-2). Suppose -15218 = -302*i - 14312. Factor 15/4*x**i + 3/4*x**4 + u*x**2 + 0 + 9/4*x.
3*x*(x + 1)**2*(x + 3)/4
Let r(v) be the first derivative of -v**3/6 - 198*v**2 - 6606. Factor r(l).
-l*(l + 792)/2
Let x(l) = 14*l**2 + 239*l - 243. Let b(o) = 3*o**2 - 1. Let r(j) = 15*b(j) - 3*x(j). Factor r(p).
3*(p - 238)*(p - 1)
Let t = -798 - -800. Suppose 2*o + 9*y - 8*y = 0, -t*y = 3*o. Let 1/4*r**4 + 1/2*r**2 + 0 + o*r + 3/4*r**3 = 0. Calculate r.
-2, -1, 0
Let m(j) be the first derivative of j**3 + 21*j**2 + 144*j + 3909. Factor m(k).
3*(k + 6)*(k + 8)
Let r(v) be the third derivative of 2*v**7/105 - 67*v**6/180 - 601*v**5/90 + 17*v**4/6 + 2*v**2 + 149*v - 4. Determine c so that r(c) = 0.
-6, 0, 1/6, 17
Let r(y) be the second derivative of 3/10*y**5 - 3*y**2 + 19*y + 0 - 3/2*y**3 + 3/4*y**4. Factor r(o).
3*(o - 1)*(o + 2)*(2*o + 1)
Suppose -5*y**4 + 45/4*y**3 + 25/2*y**2 + 0 - 15/4*y = 0. What is y?
-1, 0, 1/4, 3
Let h be 4*9/78 + ((-1246)/1068 - (-382)/468). Find r such that -4 + h*r**2 + 0*r = 0.
-6, 6
Let t be ((6/16)/(231/(-44)))/(2/(-14)). Let b(w) be the first derivative of -2/3*w**3 + 0*w + 9 - t*w**4 + 2/5*w**5 + w**2. What is i in b(i) = 0?
-1, 0, 1
Let s(u) = 4*u**2 + u - 6. Let b be s(4). Let x = -50 + b. Determine h, given that -3*h**5 - 7*h**3 + 13*h - 13*h - 17*h**3 - 15*h**4 - x*h**2 = 0.
-2, -1, 0
What is h in -93/2*h - 3/8*h**2 - 180 = 0?
-120, -4
Let m = -21/1564 - -7059/1564. Let -27/2*g + m*g**2 - 27/2 - g**4 + 7/2*g**3 = 0. What is g?
-3/2, -1, 3
Let q(m) be the first derivative of 5*m**6/6 - 8*m**5 - 945*m**4/4 - 4660*m**3/3 - 4280*m**2 - 4800*m - 6318. Find h, given that q(h) = 0.
-4, -3, -1, 20
Let k be (14/(29 - 1))/((-30)/(-100)). Determine q so that -2*q - 1/3*q**2 - k = 0.
-5, -1
Suppose 9 = 13*t - 4. Let x be ((-6)/4)/t*(-220)/385. Factor -2/7 - x*w**3 - 10/7*w - 2*w**2.
-2*(w + 1)**2*(3*w + 1)/7
Let q(k) be the third derivative of 1/105*k**5 + 0*k**3 - 1/84*k**4 - 1/420*k**6 - 108*k**2 + 0 + 0*k. Factor q(f).
-2*f*(f - 1)**2/7
Let c(b) be the first derivative of b**6/27 + 58*b**5/5 + 2903*b**4/3 + 101396*b**3/27 + 16727*b**2/3 + 3698*b + 2385. Let c(f) = 0. Calculate f.
-129, -1
Let g = 329 - 319. Let a(t) = 13*t**2 - 128*t - 16. Let p be a(g). Factor -2/5*n + 2/5*n**2 + 2/5*n**3 - 2/5*n**p + 0.
-2*n*(n - 1)**2*(n + 1)/5
Let m(g) = -11*g**2 - 68*g + 419. Let u(n) = -6*n**2 - n + 3. Let r(w) = m(w) - 2*u(w). Determine p so that r(p) = 0.
7, 59
Suppose 9*c = 11*c - 10. Suppose 3*p - c*p + 9 = j, -4*p + 5*j - 17 = 0. Let -28 + 3*n**2 + 3*n**p + 32*n - 10*n**2 = 0. Calculate n.
1, 7
Let s(q) = -3*q**2 - 45*q + 46. Let a be (108/(-81))/(2/(-3)). Let i(t) = 48*t**2 + 720*t - 735. Let r(f) = a*i(f) + 33*s(f). Factor r(d).
-3*(d - 1)*(d + 16)
Suppose 4*m = -4*m + 24. Suppose -2*t + 4 = 2*w, -2*t - m*w - 2 = -6. Determine q, given that -2/3*q**3 - 8/3*q**t + 0 - 8/3*q = 0.
-2, 0
Suppose 69*w - 30*w = 22*w + 73*w + 118*w. Factor -4/5*y**5 + 108/5*y**2 - 108/5*y**3 + 0*y + w + 36/5*y**4.
-4*y**2*(y - 3)**3/5
Let f(k) = 2 - 125*k**2 - 2*k**3 + 243*k**2 - 119*k**2. Let w(g) = 35*g**3 - 50*g**2 - 56*g - 22. Let b(r) = 5*f(r) + w(r). Suppose b(x) = 0. Calculate x.
-2/5, 3
Let t(h) = -7*h + 50. Let c(u) = -20*u + 151. Let y(w) = -3*c(w) + 8*t(w). Let a be y(14). Factor -2*i**5 - 10*i**4 - 16*i**a + 7*i**2 - 12*i**2 - 3*i**2.
-2*i**2*(i + 1)*(i + 2)**2
Let z(x) be the first derivative of -x**4/30 - 2*x**3/3 - 5*x**2 + 44*x - 16. Let b(t) be the first derivative of z(t). Factor b(k).
-2*(k + 5)**2/5
Let v(c) be the third derivative of c**6/480 + 245*c**5/48 + 15657*c**4/4 + 15606*c**3 - 757*c**2. Let v(f) = 0. What is f?
-612, -1
Find d such that -11/5 - 1/10*d**2 - 23/10*d = 0.
-22, -1
Let q(v) be the first derivative of v**3/3 + 2069*v**2 + 4280761*v + 10276. Factor q(t).
(t + 2069)**2
Let j(z) = 9*z - 56. Let d be j(7). Let o(b) = -5*b**3 - 4*b**2 + 4. Let n(u) = 9*u**3 + 7*u**2 - 7. Let k(l) = d*o(l) + 4*n(l). Suppose k(s) = 0. What is s?
0
Let c(k) = -2*k + 9. Let s be c(-3). Solve -18 + s*l + 5*l**3 + 6*l**2 - 12*l**3 + 4*l**3 = 0.
-2, 1, 3
Let a = 15 - -211. Let d = 228 - a. Factor 4/3*z - 1/3*z**d - 4/3.
-(z - 2)**2/3
Let w(u) = u**2 + 35*u + 266. Let t be w(-11). Factor -2/13*s**t - 24/13*s + 0.
-2*s*(s + 12)/13
Let t(u) be the second derivative of 5/2*u**3 - 45*u**2 + 5/12*u**4 + 0 + 34*u. Factor t(w).
5*(w - 3)*(w + 6)
Suppose 4*s = 16, -3 = 3*x - 3*s + 9. Let v(o) be the first derivative of 19 + 3/2*o**2 + o**3 + x*o. Factor v(g).
3*g*(g + 1)
Let j(g) be the third derivative of 4/15*g**7 - 7/24*g**8 + 2*g**2 - 11/3*g**4 + 0 - g + 7/15*g**5 + 143/60*g**6 + 8/3*g**3. Suppose j(r) = 0. What is r?
-1, 2/7, 2
Find x such that -70/3*x - 8/3 + 34/3*x**3 + 161/3*x**4 - 51*x**2 + 12*x**5 = 0.
-4, -1, -1/4, -2/9, 1
Suppose -5*z + 177 - 2 = 0. Let i = z - 33. Let 3*n - 11 + 19 - 8 - 3*n**i = 0. What is n?
0, 1
Let f = -28 + 30. Suppose 3*n - o = -5 + 18, 5 = 3*n + o. Let -f*p**2 - 114*p**3 + 6 + 5*p + 5 + 113*p**n - 5 = 0. What is p?
-3, -1, 2
Factor 63143 - 51012*c + 171*c**3 + 171*c**3 - 888*c**2 - 253239 + 166*c**3 - 512*c**3.
-4*(c + 4)*(c + 109)**2
Suppose 4*z = 2*g - 608, -2*g - z = -6*z - 607. Suppose -g = -6*o + 5*o. Find t, given that 1024 + o*t - t**2 + 2*t**3 + 49*t**2 + 78*t = 0.
-8
Suppose -171 - 469 = 8*x. Let v be 10/4*(-12)/x. Factor -9/8*j**3 + v*j**4 + 0*j + 0 + 3/4*j**2.
3*j**2*(j - 2)*(j - 1)/8
Let -224*j + 79*j**4 - 136*j**2 - 15*j**5 + 332*j**3 + 6*j**5 - 3*j**5 - 39*j**4 = 0. Calculate j.
-4, -2/3, 0, 1, 7
Suppose -23 + 14 = -3*u. Factor s**5 - 4*s**5 - 3*s**3 - 1115*s**4 + 1112*s**4 + 9*s**u.
-3*s**3*(s - 1)*(s + 2)
Let a(d) = d**3 + 61*d**2 - 177*d + 962. Let x be a(-64). Let h(c) be the first derivative of 18*c**3 + 3/5*c**5 - 30*c**x - 21/4*c**4 + 24*c - 8. Factor h(o).
3*(o - 2)**3*(o - 1)
Suppose -c - 2*t = -154, -4*c - 4*t + 640 = -2*t. Suppose 4*p = 174 - c. Suppose 184/5*s + 16/5 + 986/5*s**p + 462/5*s**4 + 692/5*s**2 = 0. What is s?
-1, -2/3, -2/7, -2/11
Determine s, given that 67100*s**3 - 58*s - 5312*s**2 - 1205*s**2 + 2500*s**4 + 160*s + 330*s - 4267*s**2 = 0.
-27, 0, 2/25
Suppose -103*q + 102*q - 2 = 2*j, j + 4*q = -29. Factor -1/7*n**2 - 4/7*n + j.
-(n - 3)*(n + 7)/7
Let g = 1534 + -1540. Let m be ((-206)/(-309))/(0 - g/11). Find j such that -2/3*j**2 - m*j - 1/9*j**3 - 2/3 = 0.
-3, -2, -1
Let x(o) be the first derivative of 2*o**3/15 - 242*o**2/5 + 482*o/5 - 1547. Let x(q) = 0. Calculate q.
1, 241
Let f(u) be the second derivative of -40/3*u**3 - 1/5*u**5 + 4*u**4 + 55*u + 0*u**2 + 0. Factor f(p).
-4*p*(p - 10)*(p - 2)
Let g be 14/8*(700/280)/(210/24). Let g*x**3 - 27/2 - 53/2*x - 25/2*x**2 = 0. What is x?
-1, 27
Let i be 66/(-165) + 68/20. Suppose 0 = i*s + 2 - 11. Solve -2/3*j**2 - 3/2 - 7/4*j - 1/12*j**s = 0 for j.
-3, -2
Factor 518*g - 272*g**2 + 37 - 91 + 135*g**3 - 179*g - 304*g**2.
3*(3*g - 1)**2*(5*g - 18)
Let n(r) = r**2 + 28*r - 1. Let v be n(-28). Let y be ((-2)/v - 2) + 45 - 3. Factor -y*h - 14*h**3 - 104*h**2 + 34*h**3 + 62*h.
4*h*(h - 5)*(5*h - 1)
Factor 554/9*t**2 - 1/9*t**3 + 0 + 0*t.
-t**2*(t - 554)/9
Let w(r) = -r**3 - 3*r**2 + 87*r + 14. Let u be w(-10). Let m be (16/u*-3)/(4/26). Solve 1/5*q**4 + 0*q + 0 + 1/5*q**m + 2/5*q**3 = 0.
-1, 0
Let w = -1267407 + 1267409. Find p such that 0 + 10/7*p**3 - 12/7*p - 2*p**w + 2/7*p**5 + 2*p**4 = 0.
-6, -1, 0, 1
Let f(t) be the third derivative of 1/48*t**8 + 0*t + 0*t**3 + 63/5*t**5 + 9*t**4 - 26*t**2 - 61/210*t**7 + 1 - 3/20*t**6. Determine a so that f(a) = 0.
-3, -2/7, 0, 6
Let g(c) = c**2 + 35*c + 277. Let f be g(-13). Let p be ((-1136)/(-144) - 7) + 2/f. Suppose -3*q - 7/3*q**2 + 41/3*q**4 + 4*q**5 + p + 11*q**3 = 0. Calculate q.
-2, -1, 1/4, 1/3
Suppose 3 - 87 = -14*v. Factor -276*s**2 + 157*s**2 + 140*s**2 - 3*s**4 + 12*s + v*s**3.
-3*s*(s - 4)*(s + 1)**2
Let f(p) = -p**3 + 11*p**2 - 3*p + 9. Let y be (-5)/50*-5 + (-74)/4. Let s = -21 - y. Let o(n) = -n**2 - 1. Let d(j) = s*f(j) - 24*o(j). Solve d(g) = 0 for g.
1
Factor -534*r + 886 + 81*r**2 - 46 - 82*r**2 + 14 + 109*r.
-(r - 2)*(r + 427)
Let w