- 2)*(b + 1)/6
Let n(b) = -2*b**3 + 2*b**2 - b + 1. Let o(x) = -5*x**3 + 303*x**2 + 22197*x + 21907. Let c(y) = -6*n(y) + 2*o(y). Find l, given that c(l) = 0.
-148, -1
Determine p so that 87 + 765/4*p**2 + 519/2*p + 321/8*p**3 - 3/4*p**4 = 0.
-2, -1/2, 58
Let f(b) = 4*b + 4*b**2 - 41*b + 43*b - 1. Let h(d) = -2*d + d**2 + 4*d**2 + 9*d. Let i(g) = 4*f(g) - 3*h(g). Factor i(z).
(z - 1)*(z + 4)
Let i(l) = 155*l + 8064. Let y be i(-52). Solve -9/4*q**2 + 3/4*q**3 - 3/4*q**5 + 9/4*q**y + 0 + 0*q = 0.
-1, 0, 1, 3
Let y(r) be the first derivative of r**4/3 - 1552*r**3/9 + 1546*r**2/3 - 1544*r/3 - 835. Determine h, given that y(h) = 0.
1, 386
Let x(j) = -j**2 - 12*j - 32. Let s be x(-4). Let o(u) be the second derivative of 8/3*u**3 - 1/6*u**4 + s + 9*u - 16*u**2. Factor o(f).
-2*(f - 4)**2
Let o(m) be the third derivative of 0*m**3 + 7/15*m**5 + 2/3*m**4 + 1/42*m**8 - 1/5*m**6 + 0 - 2/15*m**7 + 0*m + 206*m**2. Solve o(f) = 0.
-1, -1/2, 0, 1, 4
Let p(v) = -v**3 - 47*v**2 + 202*v - 47. Let o be p(-51). Let f be 5/25 + (-26)/o - -1. Find z, given that f*z - 6/11 - 2/11*z**2 = 0.
1, 3
Let t(p) be the third derivative of -p**10/378000 + p**9/50400 + p**8/12600 - p**5/20 + p**3/6 + 35*p**2. Let c(m) be the third derivative of t(m). Factor c(u).
-2*u**2*(u - 4)*(u + 1)/5
Let u(g) be the first derivative of -g**7/126 + g**5/30 - g**3/18 + 78*g - 64. Let z(i) be the first derivative of u(i). Factor z(o).
-o*(o - 1)**2*(o + 1)**2/3
Suppose -2*a = -2*y - 68, -108 = a - 5*a - 3*y. Suppose -b - 4*m + a - 8 = 0, 3*b = 4*m + 18. Factor -33*x - 17*x - 5*x**2 - 79 + b*x + 44.
-5*(x + 1)*(x + 7)
Factor 228/7 - 2/7*k**2 + 226/7*k.
-2*(k - 114)*(k + 1)/7
Factor 0 + 36/5*l - 1/5*l**3 + 9/5*l**2.
-l*(l - 12)*(l + 3)/5
Factor 85*s**2 + 86*s**2 - 305*s**2 + 3*s - 3*s**3 + 30 + 104*s**2.
-3*(s - 1)*(s + 1)*(s + 10)
Suppose -16/7 + 2/7*f**3 - 30/7*f - 12/7*f**2 = 0. Calculate f.
-1, 8
Let d(t) be the first derivative of -7*t**3/4 + 243*t**2/8 - 165*t/2 + 1978. Solve d(a) = 0.
11/7, 10
Let r be 3807/(-162) + (-49)/14 - -39. Factor -r*x**2 - 20/3*x**3 - 4 + 68/3*x.
-4*(x - 1)*(x + 3)*(5*x - 1)/3
Let g be (-16)/64 - (-34)/8. Suppose 3*c - 4*c + 4*w = -26, 4*w = -2*c + g. Factor -2*r + c*r - 32*r**2 + 30*r**2 + 4*r.
-2*r*(r - 6)
Let l = 8562 + -8562. Let k(i) be the second derivative of l*i**2 - 1/12*i**3 + 1/48*i**4 + 0 + 18*i. Find w such that k(w) = 0.
0, 2
Let z(a) be the third derivative of 0*a**3 + 1/300*a**6 + 0*a - 1/30*a**4 - 1/175*a**7 + 1/840*a**8 + 1/50*a**5 + 0 + 11*a**2. Solve z(o) = 0.
-1, 0, 1, 2
Find a such that 0 + 214/13*a**3 - 30/13*a**4 - 16*a**2 + 24/13*a = 0.
0, 2/15, 1, 6
Suppose -3 = -j + 2*j. Let f(p) = -24*p**3 - 3*p**2 - p - 4. Let o be f(j). Factor -12*b**2 + 3*b**5 - o*b - 12*b**3 + 6*b**4 - 3*b**4 + 620*b.
3*b**2*(b - 2)*(b + 1)*(b + 2)
Let l(b) be the second derivative of b**4/4 + b**3/3 + b**2 + 381*b. Let o be l(0). Factor 12/7*h**4 - 8/7*h**o - 4/7 + 12/7*h - 8/7*h**3 - 4/7*h**5.
-4*(h - 1)**4*(h + 1)/7
Let x(n) = -6*n - 1. Let t be x(0). Let j(r) = -2*r**3 - 38*r**2 - 30*r + 78. Let g(d) = -d**3 - 3*d**2 - d + 1. Let l(a) = t*j(a) - 2*g(a). Solve l(w) = 0.
-10, -2, 1
Let v(k) be the third derivative of k**6/24 + 5*k**5/12 - 20*k**4/3 + 30*k**3 - 1720*k**2. Factor v(i).
5*(i - 2)**2*(i + 9)
Let c(b) = -18*b**3 - 851*b**2 + 972*b - 103. Let g(x) = -x**2 + 2*x - 1. Let t(v) = 2*c(v) - 14*g(v). Factor t(z).
-4*(z - 1)*(z + 48)*(9*z - 1)
Find m, given that -6/7*m**3 - 2/7*m**5 - 10/7*m**4 + 0*m + 0 + 18/7*m**2 = 0.
-3, 0, 1
Suppose -11*g = -6*g. Suppose -j - 6 = -x + 2, g = 3*x + 3*j - 6. Solve x*s**3 + 3 - s - s + 15*s**2 - 3*s - 18 = 0.
-3, -1, 1
Suppose h = 7*u - 4, 2*u + 0*u + 5*h = -20. Let m(z) be the second derivative of 0 + 1/36*z**4 + 9*z + 0*z**3 + u*z**2 - 1/60*z**5. What is w in m(w) = 0?
0, 1
Let p(m) = 11*m**2 + 57*m + 10. Let z be p(-5). Let o(v) be the second derivative of z*v**3 + 0 + 0*v**2 + 1/15*v**6 + 0*v**4 + 1/5*v**5 - 19*v. Factor o(w).
2*w**3*(w + 2)
Let r(x) = -3*x - 17. Let o be r(-8). Suppose 6*q + 2 = o*q. Find i, given that 3*i + 0*i - q*i**2 + 2*i + 7*i**2 = 0.
-1, 0
Let x(s) be the second derivative of -13*s**4/15 - 8*s**3/15 - 18*s - 31. Find h such that x(h) = 0.
-4/13, 0
Let d(v) be the third derivative of -v**8/3696 + 29*v**6/660 - 2*v**5/15 - 115*v**4/88 - 100*v**3/33 + 9*v**2 - 6. Suppose d(u) = 0. What is u?
-8, -1, 5
Let k(c) be the third derivative of -c**7/525 + c**6/75 - c**5/150 - c**4/10 - 186*c**2 + 4*c - 1. Solve k(g) = 0 for g.
-1, 0, 2, 3
Let t(s) be the third derivative of s**6/30 + 39*s**5/10 + 97*s**4/3 + 55*s**3 + 968*s**2. Factor t(y).
2*(y + 3)*(y + 55)*(2*y + 1)
Suppose -2*k + 2*j - 38 = -488, 4*j = 0. Factor 5*r - 203*r**2 + 100*r + 198*r**2 - 5*r**3 + k.
-5*(r - 5)*(r + 3)**2
Let r(g) be the third derivative of 0 - 1/30*g**5 - 3/2*g**4 + 66*g**2 - 27*g**3 + 0*g. Determine x so that r(x) = 0.
-9
Let g be ((-5)/(50/(-252)))/(62/620). Let k be (9/g)/(1/8). Factor -12/7*q**3 + 0 + 8/7*q**2 - 2/7*q - k*q**5 + 8/7*q**4.
-2*q*(q - 1)**4/7
Let w(l) be the third derivative of -l**7/3780 + l**6/405 + 7*l**5/540 - 5*l**4/54 + 2*l**3 - 45*l**2. Let u(v) be the first derivative of w(v). Factor u(y).
-2*(y - 5)*(y - 1)*(y + 2)/9
Let s = -624932/3 + 208311. Factor 50/3*a + 625/3 + s*a**2.
(a + 25)**2/3
Let p(a) = 14*a**4 + 54*a**3 + 53*a**2 + 16*a. Let y(w) = -41*w**4 - 161*w**3 - 157*w**2 - 47*w. Let f(z) = 14*p(z) + 4*y(z). Factor f(t).
2*t*(t + 2)*(4*t + 3)**2
Let a(w) be the third derivative of 0 - 147*w**2 + 0*w**7 - 1/1008*w**8 - 1/72*w**4 + 1/180*w**6 + 0*w**3 + 0*w**5 + 0*w. Factor a(c).
-c*(c - 1)**2*(c + 1)**2/3
Factor -18*j**2 - 75*j**3 - 75*j**2 - 25*j**2 + 5*j**4 + 38*j**2.
5*j**2*(j - 16)*(j + 1)
Let b(l) be the first derivative of 2/5*l**5 + 9/2*l**4 + 0*l - 9*l**2 - 2/3*l**3 + 258. Factor b(n).
2*n*(n - 1)*(n + 1)*(n + 9)
Let a be 13*((-901)/(-884)*8 - 8). Factor 0*u + 1/5*u**a - 1/5.
(u - 1)*(u + 1)/5
Let m(o) = 5*o - 96. Let g be m(23). Factor 14*y**4 - g*y**4 + 56*y**3 + 21*y**4 + 25*y**2 + 3*y.
y*(y + 3)*(4*y + 1)**2
Let z = 203084/23075 + -24/23075. Factor -2/5*p**3 + z - 18/5*p - 24/5*p**2.
-2*(p - 1)*(p + 2)*(p + 11)/5
Factor -60*a + 28*a**2 + 179*a - 75*a + 4*a**3 + 20.
4*(a + 1)**2*(a + 5)
Let x(d) be the first derivative of -107 + 252/5*d**2 - 27/5*d**3 + 3/20*d**4 + 588/5*d. Solve x(z) = 0.
-1, 14
Let 87/4*m**3 + 0 - 3/4*m**4 + 0*m - 21*m**2 = 0. What is m?
0, 1, 28
Let u(x) = -2*x**2 + 15*x + 7. Let t be u(8). Let n = 3 + t. Solve 6*a - 2*a**4 + 0*a**n + 7*a**2 - 2*a**3 + 3*a**2 + 4*a**3 = 0.
-1, 0, 3
Let o = -188328 + 188330. Solve -2/7*j**3 + 6/7*j**o + 0 - 4/7*j = 0 for j.
0, 1, 2
Let s(w) be the first derivative of -15*w**3 - 120 + 72 + 2*w**2 + 3*w**3. Factor s(r).
-4*r*(9*r - 1)
Find i such that -19*i**2 + 7 - 68*i**2 + 2346*i + 12 - 6 + 68 = 0.
-1/29, 27
Solve 36 + 3/4*z**4 - 63/4*z**2 - 9/2*z**3 + 51/2*z = 0.
-3, -1, 2, 8
Suppose -308*c**3 + 4755*c**2 - 316 + 173 + 155 - 846*c**3 - 34*c**3 - 4764*c = 0. What is c?
1/396, 2
Suppose -3824*x + 11153 + 9704 = 5561. Determine b, given that -3/2*b**x - 102*b - 60 - 63*b**2 - 33/2*b**3 = 0.
-5, -2
Let g be 24/16*20/3. Determine y, given that 11*y**3 + 305*y + 9*y**3 - 309*y + 2*y**4 - 12*y**2 - 16*y**5 + g*y**4 = 0.
-1, -1/4, 0, 1
Suppose 10*o = 59 + 161. Factor -4*u + 0*u**3 - 9*u**4 - 2*u**3 + o*u + 18*u**2 + 7*u**4.
-2*u*(u - 3)*(u + 1)*(u + 3)
Let w = -59 - -81. Let o = w - 15. Determine v, given that 4 - v**2 - 7 - 1 + o - 2*v = 0.
-3, 1
Let p(f) be the first derivative of f**5 + 315*f**4/4 + 910*f**3/3 + 300*f**2 - 3792. Suppose p(s) = 0. Calculate s.
-60, -2, -1, 0
Let v(j) be the second derivative of j**5/120 - 5*j**4/8 + 75*j**3/4 + 33*j**2/2 - 57*j. Let y(o) be the first derivative of v(o). Solve y(b) = 0.
15
Let r be 1/(59328/59382 + 2/(-2)). Let x = r + 1100. Factor x*y**2 - 2/3*y + 0.
y*(y - 2)/3
Factor 158*d - 2534 - 2*d**2 - 4224 + 58*d + 632 + 294.
-2*(d - 54)**2
Let u be (-10)/(-140) + (2/9*(-702)/312)/(-1). Factor 184/7 + u*d**2 - 188/7*d.
4*(d - 46)*(d - 1)/7
Let b(d) be the second derivative of -d**7/21 - 41*d**6/60 + 69*d**5/20 - 67*d**4/24 - 13*d**3/6 - 211*d + 1. Determine i so that b(i) = 0.
-13, -1/4, 0, 1, 2
Let c(f) be the second derivative of 13 + 0*f**3 - 1/5*f**5 - f + 0*f**2 + 2/3*f**4 - 4/15*