43*d - 488*d**2 + 115*d**2 - 2178 + 4*d**3 + 1807.
(d - 371)*(d - 1)**2
Let x = -51 - -22. Let j = x - -31. Determine g, given that -3/2 + 3/4*g**j - 3/4*g = 0.
-1, 2
Let o(c) be the second derivative of -1/15*c**3 + 1/50*c**5 + 48*c + 0 + 1/5*c**4 - 6*c**2. Factor o(m).
2*(m - 2)*(m + 3)*(m + 5)/5
Let g(q) be the third derivative of q**6/24 + 8*q**5/45 + 7*q**4/24 + 2*q**3/9 + 828*q**2 - q. Factor g(n).
(n + 1)*(3*n + 1)*(5*n + 4)/3
Suppose -3004*j + 1556*j = -2896. What is n in 8/7*n**j + 1/7*n**4 + 5/7*n**3 + 4/7*n + 0 = 0?
-2, -1, 0
Suppose 4*b + 21 = 53. Suppose b*l - 7*l = 90. Factor -9*c**3 - 12*c + 18 + 37*c**3 + 52*c**2 + 4*c**4 - l.
4*(c - 1)*(c + 2)*(c + 3)**2
Find b, given that -400/3*b**2 + 20*b**4 + 0*b + 115*b**3 + 0 - 5/3*b**5 = 0.
-5, 0, 1, 16
Suppose -28*i + 619 - 31 = 0. Let r(q) be the third derivative of 1/36*q**5 - i*q**2 + 0 + 0*q - 25/36*q**4 + 125/18*q**3. Determine v so that r(v) = 0.
5
Let m(g) = 10*g**3 - 22*g**2 + 26*g - 41. Let d be m(2). Factor -9/2*v**2 - 3/2*v**d + 3/2*v + 9/2.
-3*(v - 1)*(v + 1)*(v + 3)/2
Let o(p) be the first derivative of 2*p**3/3 + 124*p**2 + 1156. Factor o(u).
2*u*(u + 124)
Let v = 2243 - 2238. Let b(s) be the second derivative of 0*s**2 + 18*s + 0 - 1/50*s**v - 1/15*s**4 + 1/5*s**3. Factor b(r).
-2*r*(r - 1)*(r + 3)/5
Suppose -95506 = -64*g + 11*g. Let j = g - 1799. Factor 0 + 9/4*v**j + 1/4*v**4 + 27/4*v**2 + 27/4*v.
v*(v + 3)**3/4
Let a(r) be the second derivative of 49*r**5/18 - 7*r**4/6 - 104*r**3/9 - 112*r**2/9 - 1580*r. Find n such that a(n) = 0.
-4/7, 7/5
Let w = 5984828/5 + -1196964. Factor -w*m**2 + 2/5*m**3 + 0 + 8/5*m.
2*m*(m - 2)**2/5
Factor 55*y**4 - 57*y**3 + 205*y**3 - 2030*y**2 + 360*y + 117*y**3.
5*y*(y - 4)*(y + 9)*(11*y - 2)
Suppose 5*h - 31 = -c + h, -5*c + 199 = -2*h. Let -c*o + 4*o - 25*o - 4*o**2 = 0. Calculate o.
-15, 0
Let h(p) = 7*p**2 - 1. Let x(q) = -q**3 + 66*q**2 - 10*q - 11. Let b(i) = 44*h(i) - 4*x(i). Let b(r) = 0. What is r?
-10, -1, 0
Let x(g) = 163*g**3 - g**2 + g. Let w be x(1). Factor -15 + 0*h**2 + h - 91*h - 5*h**2 - w + 18.
-5*(h + 2)*(h + 16)
Suppose -6181 + 3732 - 826*m - 2*m**2 + 4109 = 0. What is m?
-415, 2
Let u be (-46)/12 + (76/16 - (-36)/(-144)). Suppose 0*y = 2*y - 4. Factor u*f + 0*f**3 + 1/3*f**4 - f**y + 0.
f*(f - 1)**2*(f + 2)/3
Suppose 153 - 501 = -12*n. Suppose 22*s + 21 = n*s. Find p, given that -1/9*p**4 + 4/9*p + 2/3*p**s - p**2 + 0 = 0.
0, 1, 4
Solve -89836*w - 1595*w**2 - 5*w**3 + 59963 + 68037 - 36564*w = 0.
-160, 1
Let p(o) be the third derivative of -o**6/90 + 4*o**5/15 - 2*o**4 + 8*o**3/3 - 37*o**2 + 2*o. Let f(c) be the first derivative of p(c). Factor f(r).
-4*(r - 6)*(r - 2)
Let m = -43276/3 + 14436. What is a in 1/3*a**3 + 10/3*a**2 + m + 32/3*a = 0?
-4, -2
Let k = -6403 - -6405. Let m(w) be the first derivative of 44*w**k - 28*w**3 + 3 + 14*w**5 - 59/2*w**4 - 16*w. Solve m(y) = 0.
-1, 2/7, 2/5, 2
Suppose -100 = 202*w - 227*w. Let r(x) be the first derivative of 0*x + 3/14*x**2 + 14 + 3/28*x**w + 2/7*x**3. Factor r(c).
3*c*(c + 1)**2/7
Let w(z) be the second derivative of 22*z**4/15 - 278*z**3/5 - 38*z**2/5 - 8*z + 34. Factor w(r).
4*(r - 19)*(22*r + 1)/5
Let z(d) be the second derivative of -d**5/20 - d**4/3 + 19*d**3/6 - 7*d**2 - 14*d - 252. Let z(w) = 0. Calculate w.
-7, 1, 2
Let r(u) be the first derivative of 44 + 35/4*u**4 + 25/3*u**3 + u**5 - 30*u - 35/2*u**2. Factor r(b).
5*(b - 1)*(b + 1)**2*(b + 6)
Let x(q) be the second derivative of 5 + 5/12*q**4 + 21*q + 14440*q**2 + 380/3*q**3. What is v in x(v) = 0?
-76
Let n be (-12)/3 - (-2 + -37). Let w(m) = 83*m**2 + 106*m - 66*m + 3 + 5. Let r(s) = -995*s**2 - 480*s - 95. Let j(t) = n*w(t) + 3*r(t). Factor j(l).
-5*(4*l + 1)**2
Let y(m) be the first derivative of -m**6/1620 + m**4/27 - 53*m**3/3 + 2*m + 15. Let g(h) be the third derivative of y(h). Let g(k) = 0. What is k?
-2, 2
Find q, given that -48/7*q**2 - 64/7 + 16*q - 4/7*q**3 + 4/7*q**4 = 0.
-4, 1, 2
Find l such that 2/7*l**3 + 0 - 20*l**2 + 350*l = 0.
0, 35
Let r(b) = b**3 + 2*b**2 - 5*b + 6. Let n be r(2). Suppose -n*a**2 + 11*a**2 + 24*a + 0*a**2 = 0. Calculate a.
0, 24
Let u(i) be the third derivative of 0 - 55*i**2 + 0*i**3 + 0*i + 1/6*i**4 - 1/15*i**5. Determine g so that u(g) = 0.
0, 1
Let x(b) be the second derivative of -1/20*b**5 - 1/12*b**4 + 0 - 39*b + 0*b**2 + 1/120*b**6 + 0*b**3 + 1/168*b**7. Factor x(r).
r**2*(r - 2)*(r + 1)*(r + 2)/4
Factor -45*h + 1/5*h**3 - 221/5 - 3/5*h**2.
(h - 17)*(h + 1)*(h + 13)/5
Suppose 40/3 - 16*u + 2*u**3 + 2/3*u**2 = 0. What is u?
-10/3, 1, 2
Let p = -254 - -168. Let q = p - -90. Let 3/4*a**q + 0*a + 3/4*a**3 + 0 + 0*a**2 = 0. What is a?
-1, 0
Factor 2350 - 2350*b**2 + 5/4*b**3 - 5/4*b.
5*(b - 1880)*(b - 1)*(b + 1)/4
Let f(q) = -8*q**2 + 7*q**3 + 12*q + 16 - 20 - 5*q**2 - 3*q**2 - 3*q**3. Let v(l) = -4*l**3 + 16*l**2 - 13*l + 3. Let x(z) = 3*f(z) + 4*v(z). Factor x(u).
-4*u*(u - 2)**2
Let y(u) = -2*u**2 - u + 7. Let s be y(-2). Let z(k) = -20*k**2 + 30*k - 70. Let p(w) = 4*w**2 - w + 1. Let j(l) = s*z(l) + 6*p(l). What is q in j(q) = 0?
-8, 2
Let y(m) be the third derivative of 0*m**4 - 1/600*m**6 - 4 + 0*m + 0*m**3 + 1/300*m**5 + 5*m**2. Factor y(b).
-b**2*(b - 1)/5
Let y(d) be the second derivative of -3*d**5/5 - 29*d**4/6 - 20*d**3/3 - 618*d. Find g such that y(g) = 0.
-4, -5/6, 0
Let d(x) be the second derivative of -x**8/560 + x**7/280 + x**6/20 + 55*x**3/6 - 159*x. Let c(w) be the second derivative of d(w). Solve c(z) = 0 for z.
-2, 0, 3
Suppose -2/7*j**2 + 1506/7*j - 3004/7 = 0. Calculate j.
2, 751
Let h = 9185/348 + -2327/116. Factor -3*c**4 + 1/3*c**5 + 2*c + 0 + 7*c**3 - h*c**2.
c*(c - 6)*(c - 1)**3/3
Let i be 5/1 - 7 - (-267 + 1). Suppose -23*a = -12*a - i. Factor 0 + 0*b - 18/5*b**5 + a*b**4 + 108/5*b**2 - 234/5*b**3.
-6*b**2*(b - 3)**2*(3*b - 2)/5
Factor -63*k - 127/2 + 1/2*k**2.
(k - 127)*(k + 1)/2
Let t(q) = 4*q**2 - 12*q - 9. Suppose 8*x + 45 - 13 = 0. Let a(f) = 2*f**2 - 6*f - 4. Let i(v) = x*t(v) + 9*a(v). Factor i(p).
2*p*(p - 3)
Factor 52*f**4 + 0 - 4/5*f**5 + 0*f**2 + 0*f + 0*f**3.
-4*f**4*(f - 65)/5
Let 7*a**4 + 236*a**2 - 180*a**2 + 21*a**3 + 16*a**3 + 14*a**3 + 12*a = 0. What is a?
-6, -1, -2/7, 0
Let f(v) = -25*v - 72. Let n be f(-3). Solve -10 - 38 + 196*h + h**3 + 3*h**3 - 25*h**n + 5*h**3 - 12*h**2 = 0.
-4, 1/4, 3
Let p(x) = 34*x - 134. Let n be p(4). Find y such that 56 + 7*y - 33*y - y**2 + 7*y**2 - 10*y - n*y**2 = 0.
2, 7
Suppose -4252/5*g - 16/5*g**2 + 1064/5 = 0. What is g?
-266, 1/4
Suppose 4*d = -4*y + 12, -67*y + 10 = d - 59*y. Factor -120/7*z**d + 1800/7*z + 0 + 2/7*z**3.
2*z*(z - 30)**2/7
What is z in -710/3*z**4 - 1214/3*z**3 + 0*z - 8/3*z**5 + 116*z**2 + 0 = 0?
-87, -2, 0, 1/4
Let a(i) = i**3 - 16*i**2 + 27*i + 20. Let k be a(14). Let v be ((-68)/(-8) + -7)/k. Factor 1/4*f**2 + 1/4*f**3 - 1/4*f - v.
(f - 1)*(f + 1)**2/4
Suppose 2 - 2 + 0 = 9*m. Let g(t) be the third derivative of -5/3*t**3 + 5/8*t**4 + 0*t + m + 5/336*t**8 - 1/6*t**6 + 0*t**7 - 13*t**2 + 1/6*t**5. Factor g(c).
5*(c - 1)**3*(c + 1)*(c + 2)
Suppose -19*x + 3962 + 7400 = 0. Suppose -x*p + 582*p = -32. Solve -5*c - 10/3 + 0*c**p + 5/3*c**3 = 0.
-1, 2
Let r = -1223/24 + 1235/24. Factor -3/2*v**2 + r - 5/4*v**3 + 9/4*v.
-(v - 1)*(v + 2)*(5*v + 1)/4
Solve -16/11 - 513102252/11*o**2 - 156936/11*o - 559195937638/11*o**3 = 0 for o.
-2/6539
Let q(u) be the first derivative of -10/3*u**2 - 7/15*u**5 + 7/3*u**3 + 4/3*u + 1/6*u**4 - 213. Determine d so that q(d) = 0.
-2, 2/7, 1
Let -40*m**2 + 68*m**3 - 148*m**2 - 2390*m - 208*m**2 + 12*m**4 + 2082*m + 144 = 0. Calculate m.
-9, -1, 1/3, 4
Let g(b) be the first derivative of 9/2*b**2 + 0*b - 1/75*b**5 - 11 - 2/3*b**3 - 1/5*b**4. Let c(u) be the second derivative of g(u). Factor c(k).
-4*(k + 1)*(k + 5)/5
Let d(w) be the first derivative of 3/16*w**4 + 84 + 3/2*w**2 + w**3 + 0*w. Factor d(s).
3*s*(s + 2)**2/4
Let z = -132 + 139. Let f be 8/12*(z + -1). Factor 12*n**2 - f*n**3 + 21 + 10*n - 5 + 6*n**3 + 14*n.
2*(n + 2)**3
Suppose 0 = 657*g - 649*g - 6776. Let w = g + -842. Let 0*m**3 - 5*m**4 + 0 + 20/3*m**2 + 0*m - 5/3*m**w = 0. What is m?
-2, 0, 1
Suppose 4*p + 2*r = 4, 0 = -4*p + 4*r - 7 - 1. Suppose -i = -4*w - 2, p = -2*i + 6*i - 4*w - 20. Let 2 + i*z + 3/2*z**2 - 5/2*z**3 = 0. Calculate z.
-1, -2/5, 2
Let i(u) be the 