+ 0 - 1/33*f**3 + 11*f - 1/11*f**4 + 0*f**2. Factor h(q).
-2*q*(3*q + 1)**2/11
Let d be (1*66)/(12/6). Let r(x) = -177 + 97*x + 273*x**2 + 33*x - 36*x + 35*x. Let k(f) = 17*f**2 + 8*f - 11. Let g(z) = d*k(z) - 2*r(z). Factor g(q).
3*(q + 1)*(5*q - 3)
Let w(m) be the third derivative of m**8/2016 + 11*m**7/1260 + 7*m**6/720 - 49*m**5/120 + 2*m**2 - 49*m. Suppose w(i) = 0. Calculate i.
-7, 0, 3
Let f(q) be the third derivative of q**6/120 + q**4/24 + q**3/6 - 35*q**2 - 2. Let t(y) = -7*y**3 - 8*y**2 - 11*y - 5. Let j(o) = -5*f(o) - t(o). Factor j(x).
2*x*(x + 1)*(x + 3)
Factor -3/4*a + 0 + 3/8*a**2.
3*a*(a - 2)/8
Let d(u) be the first derivative of -u**4 + 148*u**3/3 - 720*u**2 + 1296*u - 80. Suppose d(v) = 0. What is v?
1, 18
Factor 1215/2*i + 3/8*i**4 - 45/4*i**3 + 351/8*i**2 + 2187/2.
3*(i - 18)**2*(i + 3)**2/8
Let f = 102531/4 - 25813. Let o = -178 - f. Factor 0 - 1/2*l + o*l**2.
l*(9*l - 2)/4
Let s(r) be the first derivative of 0*r**2 + 1/9*r**3 - 3*r + 5 + 1/9*r**4 + 1/30*r**5. Let c(d) be the first derivative of s(d). Let c(v) = 0. Calculate v.
-1, 0
Let p(q) be the third derivative of q**5/20 + 5*q**4/8 - 12*q**3 - 124*q**2. Factor p(m).
3*(m - 3)*(m + 8)
Determine s, given that 104 - 45 - 2*s**2 - 122*s + 12 + 53 = 0.
-62, 1
Let t(b) = 20*b**2 - 564*b - 536. Let w(p) = 4*p**2 - 112*p - 107. Let d(u) = -3*t(u) + 16*w(u). What is j in d(j) = 0?
-1, 26
Let h(q) be the third derivative of q**6/100 - 11*q**5/150 - q**4/10 + 8*q**3/15 + 9*q**2. Factor h(n).
2*(n - 4)*(n + 1)*(3*n - 2)/5
Let q(y) be the third derivative of y**5/45 - y**4/18 + 3*y**2 + 12. Factor q(t).
4*t*(t - 1)/3
Let h = -5 + 4. Let g(d) = 5*d**2 + 2*d. Let f be g(h). Let -11*x**f + 24*x**3 - 14*x**3 = 0. Calculate x.
0
Let t = -62 + 36. Let d = 30 + t. Factor -1 - 10*n**2 - 16*n**3 + 11 + 9*n - d*n**3 + 5*n**5 + 6*n.
5*(n - 2)*(n - 1)*(n + 1)**3
Suppose 2*j = 4*w - j - 5, -4*j + 20 = 0. Let g(m) be the first derivative of 4/3*m**3 + 0*m**2 + m**4 + 1/5*m**w + 0*m + 5. What is p in g(p) = 0?
-2, 0
Let a(j) be the third derivative of j**5/30 + j**4/12 - 4*j**3 - 2*j**2 + 30. Solve a(b) = 0 for b.
-4, 3
Let b = 1382 - 1382. Let i(j) be the second derivative of 9*j + 1/2*j**3 + 0*j**2 - 1/4*j**4 + b. Factor i(l).
-3*l*(l - 1)
Let x(c) be the first derivative of 2*c**3 + c**2 + 2/5*c**5 + 3/2*c**4 + 14 + 0*c. Factor x(j).
2*j*(j + 1)**3
Factor 12 + 36/5*w**2 - 94/5*w - 2/5*w**3.
-2*(w - 15)*(w - 2)*(w - 1)/5
Factor -2/7*z**2 - 4 - 30/7*z.
-2*(z + 1)*(z + 14)/7
Let b(i) = -i**3 - 7*i**2 + 7*i + 1. Let s be b(-8). Suppose -2*u + s = u. Factor 161*v - 161*v + v**u.
v**3
Factor 2/15*v**2 + 76/15*v - 32/3.
2*(v - 2)*(v + 40)/15
Solve 2*p**5 + 22*p**3 - 1099*p**2 + 2222*p**2 - 1111*p**2 + 12*p**4 = 0 for p.
-3, -2, -1, 0
Let x = 10 - 26. Let j(h) be the first derivative of -22*h**3/3 - 2*h**2 - 6. Let o(d) = 110*d**2 + 20*d. Let y(a) = x*j(a) - 3*o(a). Factor y(b).
2*b*(11*b + 2)
Factor -16/3*x + 35/2 - 1/6*x**2.
-(x - 3)*(x + 35)/6
Let p(n) be the third derivative of n**7/630 + n**6/60 + n**5/15 + 19*n**4/24 - 23*n**2. Let u(t) be the second derivative of p(t). Suppose u(v) = 0. What is v?
-2, -1
Let d(o) be the third derivative of -7*o**8/48 - 7*o**7/30 + 17*o**6/20 + o**5/15 - o**4/3 + 40*o**2 + 3. What is b in d(b) = 0?
-2, -2/7, 0, 2/7, 1
Suppose 21/8*h**2 - 9/2*h - 21/8*h**4 + 33/8*h**3 + 0 + 3/8*h**5 = 0. Calculate h.
-1, 0, 1, 3, 4
Let q(k) = 5*k**3 - k**2 + 2*k - 2. Let h be q(1). Let s(z) = z - 2. Let n be s(5). Suppose -4/3*r**n - 4/3*r - 2*r**2 - 1/3 - 1/3*r**h = 0. What is r?
-1
Let u be (-2)/(((-5)/20)/((-3)/(-6))). Suppose -j - 4*j = -15. Factor -5*o - 3*o**j + o**4 + 0*o + 3*o**2 + u*o.
o*(o - 1)**3
Let q(p) be the third derivative of -p**6/600 - p**5/150 + 13*p**4/120 - p**3/3 + 125*p**2. What is i in q(i) = 0?
-5, 1, 2
Let u be (-8)/(-22) + (-40)/110. Factor -8/5*m**2 - 2/5*m + u.
-2*m*(4*m + 1)/5
Let k(o) be the first derivative of -o**6/4 - 12*o**5/5 - 3*o**4/2 + 29*o**3 + 15*o**2/4 - 75*o - 27. Determine a, given that k(a) = 0.
-5, -1, 1, 2
Let j = -83/8 + 85/8. Solve -1/2*y - j*y**2 + 0 = 0 for y.
-2, 0
Let g = 223 - 215. Let w(o) be the third derivative of -2*o**2 + 0*o**3 + 0 + 3/140*o**7 + 1/40*o**5 + 0*o**4 + 0*o + 3/80*o**6 + 1/224*o**g. Factor w(q).
3*q**2*(q + 1)**3/2
Let h(l) be the third derivative of -l**7/105 + 2*l**6/15 - 7*l**5/10 + 3*l**4/2 + 4*l**2 + 24. Find f such that h(f) = 0.
0, 2, 3
Let j(i) be the second derivative of i**7/42 + i**6/20 + i**5/40 - 369*i. Factor j(y).
y**3*(y + 1)*(2*y + 1)/2
Let h(s) be the second derivative of s**10/6048 + s**9/1512 - s**7/252 - s**6/144 - 7*s**4/6 - 17*s. Let u(x) be the third derivative of h(x). Factor u(b).
5*b*(b - 1)*(b + 1)**3
Let b(k) be the second derivative of k**5/20 + 13*k**4/4 - 41*k**3/3 + 23*k - 3. Factor b(y).
y*(y - 2)*(y + 41)
Let h(v) = v**2 - 10*v + 4. Let y be h(5). Let p be (6/(-297)*-6)/((-14)/y). Determine i, given that 2/11*i + p*i**3 + 4/11*i**2 + 0 = 0.
-1, 0
Let w(k) be the first derivative of 961*k**4/12 - 124*k**3/9 + 2*k**2/3 + 184. Determine h, given that w(h) = 0.
0, 2/31
Suppose 5*w - 9 - 46 = 0. Let s = w + -9. Find q, given that 4*q**2 + q**3 + 2*q**s - 8 + q**3 = 0.
-2, 1
Suppose -158 + 242 = 28*l. Let m(x) be the first derivative of 6 - 5/2*x**2 - 2*x - x**l + 1/4*x**4 + 1/5*x**5. Solve m(h) = 0.
-1, 2
Let r = 480 + -480. Let o(q) be the second derivative of 1/100*q**5 - 1/30*q**3 + r + 0*q**2 + 5*q + 0*q**4. Factor o(n).
n*(n - 1)*(n + 1)/5
Let x(l) = 2*l**2 - 4*l - 1. Let i be x(4). Let o = 17 - i. Factor 3*d**o + 8 - 3*d**4 - 4 - 4.
-3*d**2*(d - 1)*(d + 1)
Let b be (-50)/625*-5 - (-2)/(-30). Find z such that -1/6 + 1/3*z**2 - 1/6*z**5 - 1/6*z + b*z**3 - 1/6*z**4 = 0.
-1, 1
Factor 638 + 5*p**2 + 162*p - 2*p**2 + p**2 - 618*p - 186.
4*(p - 113)*(p - 1)
Let m(u) be the third derivative of -9*u**5/5 - 28*u**4/3 - 8*u**3/3 + 6*u**2 - 11*u. Factor m(x).
-4*(x + 2)*(27*x + 2)
Let u(n) be the second derivative of -3*n**5/140 + n**4/28 + 2*n**3/7 - 6*n**2/7 + 40*n. Factor u(t).
-3*(t - 2)*(t - 1)*(t + 2)/7
Let c be (-9)/2*(-24)/27. Let y(l) be the first derivative of 0*l**2 - 1/5*l**5 - 3/20*l**c + 2/15*l**3 - 2 + 0*l. Suppose y(s) = 0. Calculate s.
-1, 0, 2/5
Factor -8/11*i + 0 + 40/11*i**2 - 18/11*i**3.
-2*i*(i - 2)*(9*i - 2)/11
Let k be -4*6*(-2)/4. Solve 7*x**3 - k*x - 12*x**4 - x**3 + 4 + 8*x**2 + 2*x**3 + 4*x**5 = 0 for x.
-1, 1
Suppose -7 = 4*p - 43. Let f be p/15 - ((-12)/5 + 0). Factor 0*m - 2/3*m**2 + 0 - m**4 - 5/3*m**f.
-m**2*(m + 1)*(3*m + 2)/3
Factor 24*d - 4/7*d**4 + 116/7*d**2 + 8/7*d**3 + 0.
-4*d*(d - 7)*(d + 2)*(d + 3)/7
Let j(i) be the second derivative of i**7/84 + i**6/24 - 5*i**4/24 - 5*i**3/12 - 17*i**2/2 + 8*i. Let p(x) be the first derivative of j(x). Factor p(s).
5*(s - 1)*(s + 1)**3/2
Let s be (0 - -4) + 3/9 + -4. Let o(j) be the second derivative of 1/6*j**3 + 0 + 6*j + 0*j**2 + 3/20*j**5 + s*j**4. Determine d, given that o(d) = 0.
-1, -1/3, 0
Let n = -13 + 15. Solve 15*l**4 - l - 3*l**5 + 94*l**2 - 5*l - 27*l**3 - 73*l**n = 0.
0, 1, 2
Let g be (7/5 - 1)*(-28)/(-112). Let b(s) be the second derivative of 0*s**2 - 7/48*s**4 + 0 - 1/40*s**6 + 1/12*s**3 - 6*s + g*s**5. Let b(y) = 0. What is y?
0, 2/3, 1
Let 25/3*n**3 - 20/3*n**4 + 0 - 10/3*n + 35/3*n**2 = 0. What is n?
-1, 0, 1/4, 2
Let y be (-6 - 22/(-4))/((-1)/(-4)). Let m be y/2*30/(-45). Factor 13/3*p**3 - 3*p**2 + m - 5/3*p**4 - 1/3*p.
-(p - 1)**3*(5*p + 2)/3
Let h(p) be the second derivative of 2*p**4/3 + 2*p**3/3 + 105*p. Let q be h(-1). Factor 40/7*n**2 + 4/7 + 20/7*n**q + 40/7*n**3 + 4/7*n**5 + 20/7*n.
4*(n + 1)**5/7
Let m be ((-20)/195)/(1/(12/184)). Let j = 1202/897 + m. Factor -j*v**2 + 0*v**3 - 16/9*v - 2/3 + 2/9*v**4.
2*(v - 3)*(v + 1)**3/9
Let r(d) = -33*d**3 - 51*d**2 + 120*d - 162. Let l(x) = -2*x**3 - x**2 - 1. Let a(t) = -18*l(t) + r(t). Factor a(q).
3*(q - 4)**2*(q - 3)
Let r = 53/520 - 1/13. Let c(s) be the third derivative of 0*s - 1/15*s**3 + 0 - 4*s**2 + 1/150*s**5 + r*s**4. Suppose c(v) = 0. Calculate v.
-2, 1/2
Suppose -10*m = 9*m. Let n(s) be the third derivative of 0*s**3 + 1/105*s**6 + m + 1/42*s**4 + 0*s - 2*s**2 + 3/70*s**5. Determine b, given that n(b) = 0.
-2, -1/4, 0
Let i be -5*(-2)/(-50) - 33/(-15). Let x(j) = -j**3 - 15*j**2 - 13*j + 14. Let l be x(-14). Factor