b**3 + 63*b**2 - 53*b - 30. Let j(x) = 3*x**4 - 23*x**3 + 127*x**2 - 107*x - 50. Let o(q) = 3*j(q) - 5*z(q). Factor o(f).
-f*(f - 4)*(f - 1)*(f + 14)
Suppose -4*l - h - 759 = 0, 7*h - 3*h = -l - 171. Let x = l - -958/5. Factor 3*p + 12/5*p**2 + x.
3*(p + 1)*(4*p + 1)/5
Let g be (-6)/(-93) - ((-201804)/402)/(620/14). Let 54/5*w**3 - g*w + 3/5*w**5 + 33/5*w**4 - 6/5*w**2 - 27/5 = 0. What is w?
-9, -1, 1
Let h(y) be the second derivative of y**7/504 - 23*y**6/36 + 529*y**5/6 - y**4/12 + 19*y**2/2 + y + 160. Let m(j) be the third derivative of h(j). Factor m(g).
5*(g - 46)**2
Let k(r) be the second derivative of -1 + 0*r**3 - 23*r + 1/4*r**4 - 3/2*r**2. Factor k(i).
3*(i - 1)*(i + 1)
Let l(n) be the first derivative of 2*n**3/15 + 636*n**2/5 + 202248*n/5 - 2853. Let l(b) = 0. What is b?
-318
Let x be (-162)/(-10) - (-15)/(-75). Find i such that -80*i**2 + 64*i**4 - 117*i**2 - 128*i - x + 32*i**3 - 52*i**2 - 3*i**2 = 0.
-2, -1/4, 2
Suppose -420 + 4/3*h**4 - 280/3*h**2 - 1552/3*h + 16/3*h**3 = 0. Calculate h.
-7, -5, -1, 9
Let f(x) = 159*x**3 + 2221*x**2 - 70*x + 2. Let z be f(-14). Let 33/8*i**z + 15/4*i - 3/8 = 0. What is i?
-1, 1/11
Let r be ((-60)/50)/((-6)/260). Suppose 2*z + 46 - r = 0. Factor -z + 2*m - 1/3*m**2.
-(m - 3)**2/3
Let d = -27 + 16. Let w be ((-6)/1 - d)/2 - 1. What is p in -1/2*p**3 - w*p**2 + 2 + 0*p = 0?
-2, 1
Factor 18*c**2 + 405/2*c + 1/2*c**3 + 729.
(c + 9)**2*(c + 18)/2
Let x(t) be the third derivative of -1/75*t**5 + 0*t + 0 - 1/10*t**4 + 61*t**2 - 4/15*t**3. Determine q, given that x(q) = 0.
-2, -1
Let p(g) be the first derivative of 1156*g + 68/3*g**2 + 159 + 4/27*g**3. Factor p(y).
4*(y + 51)**2/9
Let d = 497 + -498. Let y be ((-6)/(-15))/d - 126/(-140). Solve -y - 5/4*n - n**2 - 1/4*n**3 = 0.
-2, -1
Let w(k) be the third derivative of k**6/200 + 1039*k**5/100 + 6734*k**4 - 27040*k**3 - 3131*k**2. Suppose w(m) = 0. What is m?
-520, 1
What is p in 59/7*p + 3/7*p**2 - 30/7 - 2/7*p**3 = 0?
-5, 1/2, 6
Let a(u) be the third derivative of 1/600*u**5 + 0 + 3/80*u**4 + 0*u - 127*u**2 + 3/10*u**3. Factor a(b).
(b + 3)*(b + 6)/10
Let t be ((-315)/(-72)*(-550)/385)/((-5)/6). Factor t*f**2 + 0 - f.
f*(15*f - 2)/2
Let t be ((-1056)/176*-1*(-9)/6 - -6) + 5. Factor 1/5*u**5 - 7/5*u + u**4 - 3/5 + 6/5*u**3 - 2/5*u**t.
(u - 1)*(u + 1)**3*(u + 3)/5
Factor -4/5*f**2 - 1408/5 + 172/5*f.
-4*(f - 32)*(f - 11)/5
Let x = -8503 + 8505. Let o(l) be the third derivative of 0*l**3 - 1/1155*l**7 - 7*l**x + 0 - 1/660*l**6 + 0*l**4 + 0*l + 0*l**5. Let o(h) = 0. Calculate h.
-1, 0
Factor 55*b**2 - 16*b**2 - 1729*b - 19*b**2 - 477*b + 1216609 - 19*b**2.
(b - 1103)**2
Suppose -121 - 87 = 4*c. Let o = -45 - c. Factor -17*s + 3 + o*s**3 - s**3 - 3*s**4 + 24*s - 13*s.
-3*(s - 1)**3*(s + 1)
Factor 3/4*l**3 + 1911/4 + 81/4*l**2 + 693/4*l.
3*(l + 7)**2*(l + 13)/4
Let f(h) be the third derivative of h**7/7560 + h**6/540 + h**4/24 - 7*h**3/2 - 132*h**2. Let d(t) be the second derivative of f(t). Factor d(c).
c*(c + 4)/3
Let z = 146 - 142. Suppose 306 = z*d + 290. Factor 44/3*m**2 - 16*m - d*m**3 + 16/3.
-4*(m - 2)*(m - 1)*(3*m - 2)/3
Let v(h) be the third derivative of h**6/960 + h**5/64 - 3*h**4/32 + 65*h**3/3 + 63*h**2. Let i(r) be the first derivative of v(r). Solve i(f) = 0 for f.
-6, 1
Let s = 282893/21 + -94055/7. Solve 32/3 - 32/3*g**2 - 14/3*g**3 + s*g = 0 for g.
-4, -2/7, 2
Let t be -64 + 6241/158 - -26. Factor t*b**3 + 726 - 129/2*b**2 + 660*b.
3*(b - 22)**2*(b + 1)/2
Let f(w) = 5*w**2 - w - 1. Let x be f(1). Suppose -3*b - 96 = -x*d, 8 = -4*b - 0*b. Factor 7*i**5 - d*i**5 + 12*i**3 - 8*i**2 + 10*i**5 + 9*i**5.
-4*i**2*(i - 1)**2*(i + 2)
Let b(c) be the first derivative of 5*c**3 + 9/16*c**4 - 237 + 0*c + 9/2*c**2. Find y, given that b(y) = 0.
-6, -2/3, 0
Let x(w) = -51*w**2 - 7296*w - 4435971. Let n(a) = 16*a**2 + 1. Let t(c) = -3*n(c) - x(c). Suppose t(u) = 0. Calculate u.
-1216
Factor -s - 1/5*s**3 + 8/5*s**2 - 10.
-(s - 5)**2*(s + 2)/5
Factor 0 + 4/5*y**3 - 144/5*y**2 - 148/5*y.
4*y*(y - 37)*(y + 1)/5
Suppose -20*s + 75 + 5 = 0. Let y be s - -32*(-1)/14. Factor -9/7 + 6/7*j**2 + 3/7*j**4 + 12/7*j**3 - y*j.
3*(j - 1)*(j + 1)**2*(j + 3)/7
Suppose -9*p - 1 = 1 - 38. Let g(f) be the third derivative of 0*f**p + 1/150*f**5 + 0*f - 16*f**2 + 0 - 1/15*f**3. Find o, given that g(o) = 0.
-1, 1
Let o = -128082621872/1875 - -68310740. Let q = -1/625 + o. Determine p so that -10/3*p - q - 1/3*p**2 = 0.
-5
Factor -g**2 - 102 - 10 + 957118*g - 957082*g - g**2.
-2*(g - 14)*(g - 4)
Let k = 1220 + -2932. Let n be 0 + 2 + -4 + k/(-535). Factor -9/5*z**2 + n*z + 3/5*z**3 + 0.
3*z*(z - 2)*(z - 1)/5
Factor -180*w + 0*w**4 - 111538*w**3 + 3*w**4 - 129*w**2 + 111592*w**3.
3*w*(w - 3)*(w + 1)*(w + 20)
Let -5/4*w**4 + 0*w + 0 + 10*w**3 + 25*w**2 = 0. What is w?
-2, 0, 10
Let i(z) = 11*z**4 + 30*z**3 + 15*z**2 - 53*z + 15. Let r(k) = 9*k**4 + 30*k**3 + 15*k**2 - 52*k + 10. Let w(u) = -2*i(u) + 3*r(u). Factor w(l).
5*l*(l - 1)*(l + 2)*(l + 5)
Suppose -3*u + 84 = -0*u. Suppose 3*s + u = 136. Suppose -39*a**3 - 3*a**2 + 2*a**5 + 3*a**4 + s*a**3 + a**5 = 0. What is a?
-1, 0, 1
Find p, given that -507/4*p**2 + 735 - 345/4*p**3 + 357*p - 3/4*p**5 - 57/4*p**4 = 0.
-7, -5, -2, 2
Let r be ((-15)/(-5) - 2) + (1 - 0). Solve 289*y - y**5 - 9*y**2 - 289*y - r*y**5 - 60*y**3 + 27*y**4 + 45*y**2 = 0 for y.
0, 1, 2, 6
Let f(k) be the third derivative of k**8/4032 + 11*k**7/168 + 121*k**6/16 - 19*k**5/60 - k**2 + 86. Let a(c) be the third derivative of f(c). Factor a(h).
5*(h + 33)**2
Let j(s) = 27*s**3 + 2. Suppose -16 = 7*f + 26. Let k(l) = -215*l**3 - l**2 - 17. Let h(m) = f*k(m) - 51*j(m). Factor h(n).
-3*n**2*(29*n - 2)
Let y be (63/441)/(11/694). Let n = -96/11 + y. Factor -n*b**5 + 0 + 4/7*b**4 + 0*b**2 - 2/7*b**3 + 0*b.
-2*b**3*(b - 1)**2/7
Let p be 6 + (-29)/(-3)*3. Factor p*b**3 + 6*b**2 + 9*b**2 - 3 - 40*b**3 - 10*b + 3.
-5*b*(b - 2)*(b - 1)
Let h(w) = -5*w**4 + 4*w**3 - 43*w**2 + 119*w + 135. Let a(g) = -8*g**4 + 8*g**3 - 64*g**2 + 178*g + 202. Let v(m) = -9*a(m) + 14*h(m). Solve v(r) = 0.
-2, -1, 2, 9
Let m(w) be the first derivative of -w**4/18 + 1606*w**3/27 - 162400*w**2/9 + 320000*w/3 - 8760. Find x such that m(x) = 0.
3, 400
Let s(t) be the first derivative of -t**4/2 - 10*t**3/9 + 11*t**2/3 - 2*t - 576. Let s(u) = 0. What is u?
-3, 1/3, 1
Let b(z) be the first derivative of -z**6/300 + z**5/75 + z**4/20 + 8*z**2 - z - 21. Let f(v) be the second derivative of b(v). Let f(p) = 0. What is p?
-1, 0, 3
Let a(g) be the second derivative of -g**7/147 - g**6/3 - 323*g**5/70 - 289*g**4/42 - 537*g. Factor a(u).
-2*u**2*(u + 1)*(u + 17)**2/7
Suppose x = 409*w - 416*w + 7, 0 = x + 21. Let 3*t + 1/2*t**w + 13/2*t**2 + 0 + 4*t**3 = 0. Calculate t.
-6, -1, 0
Let h(g) be the second derivative of -2/21*g**4 + 1/2*g**3 - 9/7*g**2 + 1/140*g**5 - 2*g + 30. Find d, given that h(d) = 0.
2, 3
Let y(n) = n**3 - 30*n**2 + 129*n - 646. Let d be y(26). Solve 0 + 3/2*m**d - 3/2*m - 3/2*m**2 + 3/2*m**3 = 0.
-1, 0, 1
Let w(k) be the third derivative of 3/175*k**7 + 1/560*k**8 - 1/25*k**6 + 7/40*k**4 - 19*k**2 + 0*k**3 + 0*k - 3/50*k**5 + 0. Determine v, given that w(v) = 0.
-7, -1, 0, 1
Suppose -129*x = -161*x + 9600. Find n, given that -1/4*n**4 - 625/4 - 263/2*n**2 - 12*n**3 + x*n = 0.
-25, 1
Let h be 26/6 + 8*(-13)/312. Let s(w) = 4*w**2 - 23*w - 29. Let v be s(7). Suppose 0*d**2 + 0*d - v*d**h + 6*d**3 + 3/2*d**5 + 0 = 0. Calculate d.
0, 2
Let w(i) be the first derivative of -6*i**4 + 20/3*i**3 - 132 + 0*i + 24*i**2 + 4/5*i**5. Factor w(x).
4*x*(x - 4)*(x - 3)*(x + 1)
Factor -2/3*p**4 + 0 - 568/3*p**2 - 50*p**3 + 0*p.
-2*p**2*(p + 4)*(p + 71)/3
Factor -488543*m - 53149*m - 4*m**3 + 538756 + 5936*m**2 - 2996*m**2.
-4*(m - 367)**2*(m - 1)
Let n = -1390 - -9739/7. Let d(t) be the third derivative of -1/70*t**5 - n*t**3 + 0 + 0*t + 10*t**2 + 3/14*t**4. Factor d(x).
-6*(x - 3)**2/7
Let z(l) = 2*l**2 + 1. Let c(b) be the first derivative of 3*b**3 + 11*b**2/2 - 8*b + 200. Let w(i) = c(i) - 4*z(i). Solve w(m) = 0.
-12, 1
Factor 196/9*p**2 + 4/9*p**3 + 560/9*p + 368/9.
4*(p + 1)*(p + 2)*(p + 46)/9
Let w(f) be the first derivative of -3*f**4/4 - 596*f**3 + 3594*f**2 - 7200*f - 7190. What is v in w(v) = 0?
-600, 2
Let n be (6 - -29)/(-7) + 7. Let k(s) be the third derivative of 1/32*s**4 + 0*s + 4*s**