 19 + 1/5*o**5. Factor a(f).
-(f - 1)**3*(f + 1)**2
Let v = -2 + 5. Let b(p) = -p + 8. Let y be b(4). Factor -7*g - 6*g**2 - 8*g**v + 5*g**3 + y*g.
-3*g*(g + 1)**2
Suppose 0 = 3*t, -t = -h - 2*t - 2. Let v be 14/7*1/h. Let s(w) = -w**2 + 2*w - 5. Let a(d) = -d + 1. Let j(r) = v*s(r) - 4*a(r). Find l such that j(l) = 0.
-1
Let n be (-7)/(-2) - (-3)/2*-1. Let v(t) be the first derivative of -5/4*t**n + 1/6*t**3 - 2 + 2*t. Determine q, given that v(q) = 0.
1, 4
Let v(d) be the first derivative of d**6/2 + 18*d**5/5 - 51*d**4/2 + 56*d**3 - 117*d**2/2 + 30*d - 238. Factor v(f).
3*(f - 1)**4*(f + 10)
Let c(n) be the second derivative of n**6/18 + 3*n**5/4 + 5*n**4/18 - 70*n**3/3 + 60*n**2 - 165*n. Determine k, given that c(k) = 0.
-6, 1, 2
Let p be -4*((-18)/(-8) - 4). Factor -8 + p - 12*m**2 + 12*m + 4*m**3 - 2 - 1.
4*(m - 1)**3
Suppose 108 = 2*w - 636. Solve -5*j - 7*j**4 - w*j**3 - 10 + 377*j**3 + 2*j**4 + 15*j**2 = 0 for j.
-1, 1, 2
Let l(k) be the third derivative of -k**6/60 - k**5/2 - 117*k**2. Factor l(h).
-2*h**2*(h + 15)
Find l such that -60 - 67*l - 19*l - 5*l**3 - 70*l**2 - 36*l - 3*l = 0.
-12, -1
Let f(u) be the third derivative of 1/90*u**6 + 0*u + 3*u**2 + 1/6*u**4 - 1/2*u**3 + 1/15*u**5 + 0. Let c(v) be the first derivative of f(v). Factor c(z).
4*(z + 1)**2
Let s be (-2)/6*((-378)/12)/21. Factor -s + 1/4*p**2 + 1/4*p.
(p - 1)*(p + 2)/4
Suppose 0 = -8*w - 34 - 14. Let h(o) = 3*o**3 - 9*o**2 + 22*o - 14. Let j(v) = 7*v**3 - 18*v**2 + 43*v - 27. Let x(a) = w*j(a) + 15*h(a). Factor x(u).
3*(u - 4)**2*(u - 1)
Suppose -30*n + 27*n + 462 = 0. Let f be (-4)/(-18) - (n/(-36) + 4). Factor f*u + 1 - 1/2*u**2.
-(u - 2)*(u + 1)/2
Factor -4/9*z + 16/9 - 16/9*z**2 + 4/9*z**3.
4*(z - 4)*(z - 1)*(z + 1)/9
Let l(i) = -14*i - 2. Let b be l(-1). Suppose b = o + 4*a + 1, -o = a - 5. Solve 81/5 - 3/5*p**o + 27/5*p**2 - 81/5*p = 0.
3
Let d(s) = s**5 - s**4 - s**3 + s**2 - 2*s - 1. Let k(f) = 7*f**5 - 6*f**4 - 17*f**3 + 12*f**2 + 16*f - 30. Let q(v) = 6*d(v) - k(v). Solve q(a) = 0.
-3, -2, 1, 2
Factor 12*p + 13*p + 12*p**5 + 4*p**2 - 11*p**5 + 3*p**3 + 13*p - 42*p - 4*p**4.
p*(p - 2)**2*(p - 1)*(p + 1)
Let y(k) be the third derivative of k**6/810 - 7*k**5/540 - k**4/27 - 2*k**3/3 - 3*k**2. Let w(x) be the first derivative of y(x). Find c, given that w(c) = 0.
-1/2, 4
Let a be 8/6 - (-226960)/(-120). Let m be ((-2)/(-7) + 435/a)*3. Factor -m*f**3 + 0*f + 0*f**2 + 0 - 1/6*f**4.
-f**3*(f + 1)/6
Let h(g) = -g**3 - 19*g**2 + 75*g + 693. Let m be h(-21). Factor 1/9*b**5 - 1/9*b**3 + 0 + 0*b**2 + 0*b + m*b**4.
b**3*(b - 1)*(b + 1)/9
Let y = -926 + 926. Let t(q) be the third derivative of 5*q**2 + y + 0*q + 1/84*q**4 + 0*q**3 - 1/420*q**5. Suppose t(k) = 0. Calculate k.
0, 2
Let r = 1333/20 - 332/5. Factor -r*q**2 + 1/4*q + 0.
-q*(q - 1)/4
Suppose 12*z - 28 - 44 = 0. Let j(w) be the third derivative of -1/70*w**5 - 1/420*w**z - w**2 + 0*w + 0 + 0*w**4 + 4/21*w**3. What is k in j(k) = 0?
-2, 1
Let a be -11*2*4/(-8). Let w = -8 + a. Factor -4*m**4 + 2*m**3 + 10*m**w - 8*m**3.
-4*m**3*(m - 1)
Let j be 2/11 + 3 + (-767)/286. Let v be (-10)/(-25) + (-2)/(-20). Find s such that s - 3/2*s**2 - j*s**3 + 3/2*s**4 + 0 - v*s**5 = 0.
-1, 0, 1, 2
Let j(f) be the first derivative of 24*f**2 - 15*f**5 - 20 - 184/3*f**3 - 170*f**4 + 16*f + 875/6*f**6. Solve j(i) = 0.
-2/5, 2/7, 1
Let w(s) = -5*s - 5. Let q be w(-4). Let p be q/(-9)*45/(-50). Factor 0*c - p + 3/2*c**2.
3*(c - 1)*(c + 1)/2
Let u(j) = 20*j**3 + 12*j**2 - 2*j. Let v = 13 + -12. Let y(t) = t**3 - t**2 + t. Let o(s) = v*u(s) - 2*y(s). Factor o(m).
2*m*(m + 1)*(9*m - 2)
Let t(s) be the first derivative of -s**3/9 - 4*s**2/3 + 3*s - 90. Suppose t(a) = 0. What is a?
-9, 1
Let c(w) be the second derivative of 3*w**5/10 - 10*w**4/3 + 11*w**3/3 + 6*w**2 + 46*w. Let c(a) = 0. Calculate a.
-1/3, 1, 6
Let v be 187/(-187)*2/(-10). Factor v*j**4 + 18/5*j**2 - 8/5*j**3 + 0*j - 27/5.
(j - 3)**3*(j + 1)/5
Let j be (16/(-6) - (0 - 2))/(913/(-3984)). Suppose 0 + 128/11*s + j*s**2 + 2/11*s**3 = 0. What is s?
-8, 0
Let o(l) = 5*l**4 - 8*l**3 + 55*l**2 - 153*l. Let d(r) = 2*r**4 - 3*r**3 + 27*r**2 - 77*r. Let u(h) = 7*d(h) - 3*o(h). Determine g, given that u(g) = 0.
-5, 0, 4
Let y(o) be the second derivative of -o**7/21 - o**6/15 + 21*o**5/10 + o**4/6 - 20*o**3/3 + 11*o + 18. Solve y(i) = 0 for i.
-5, -1, 0, 1, 4
Let n(c) = 7*c**2 + 33*c + 118. Let p(x) = 10*x**2 + 50*x + 172. Let f(o) = -7*n(o) + 5*p(o). Factor f(u).
(u + 2)*(u + 17)
Let a(r) = r**2 - 2*r - 1. Let f(t) = 4*t**2 + 11*t - 3. Let w(i) = -3*a(i) + f(i). Let w(l) = 0. What is l?
-17, 0
Let d(n) be the third derivative of n**7/3360 + n**6/240 + 3*n**5/160 + 7*n**4/6 - 17*n**2. Let o(q) be the second derivative of d(q). Factor o(y).
3*(y + 1)*(y + 3)/4
Let t(f) be the second derivative of f**4/4 - 3*f**3/2 - 5*f + 3. What is w in t(w) = 0?
0, 3
Suppose -5*j + 4*k + 248 = 0, 4*j = -2*k + 40 + 148. Let o be (15/(-6) + 3)*4. Factor -50*f + 4 - 2*f**o + j*f + 0*f**2.
-2*(f - 1)*(f + 2)
Let d(x) be the second derivative of 2/9*x**4 + 0*x**2 + 0 + 2/27*x**3 + 7/36*x**5 - 24*x. Factor d(v).
v*(5*v + 2)*(7*v + 2)/9
Let h(r) be the third derivative of -r**8/112 - r**7/10 - 3*r**6/8 - 13*r**5/20 - r**4/2 - 415*r**2. Factor h(b).
-3*b*(b + 1)**3*(b + 4)
Let d = -761 + 6851/9. Let y = 4108/9 - 456. Factor 2/9*j**3 - d*j**2 - y*j + 0.
2*j*(j - 2)*(j + 1)/9
Find u such that 27/8*u**3 + 0 + 0*u**2 - 3/8*u**4 - 81/2*u = 0.
-3, 0, 6
Let m be ((-6564)/(-20))/(21/(-15)). Let c = -233 - m. Factor -2/7 + c*a - 8/7*a**2.
-2*(a - 1)*(4*a - 1)/7
Let o = -10899/20 - -545. Let r(c) be the third derivative of 0*c + o*c**5 + 0 - 1/3*c**4 + 8/9*c**3 + 4*c**2. Find m such that r(m) = 0.
4/3
Let d(q) be the third derivative of -5*q**2 - 1/2016*q**8 + 0*q**3 - 1/240*q**6 - 1/360*q**5 + 0 + 0*q**4 - 1/420*q**7 + 0*q. Factor d(c).
-c**2*(c + 1)**3/6
Suppose -22*c + 17 + 181 = 0. Let z(q) be the second derivative of 1/5*q**5 + 5/3*q**4 + 6*q**2 + 14/3*q**3 - c*q + 0. Factor z(n).
4*(n + 1)**2*(n + 3)
Let k(t) be the third derivative of -t**6/480 - t**5/48 - t**4/12 - t**3/6 - 18*t**2 + 2. Factor k(n).
-(n + 1)*(n + 2)**2/4
Let t(s) be the third derivative of s**6/105 + s**5/30 - s**4/42 - 53*s**2 + s. Find r, given that t(r) = 0.
-2, 0, 1/4
Factor 1/7*a**2 - 23/7*a - 50/7.
(a - 25)*(a + 2)/7
Let b(r) = -9*r + 22. Let i be b(2). Let f(u) be the first derivative of 0*u + 6 - 4/27*u**3 + 1/18*u**i + 0*u**2. Let f(o) = 0. Calculate o.
0, 2
Let p(l) = l - 8. Let b be p(11). Factor 7*x - 7*x**3 + 3*x**b + 2 - 2*x**4 + 0*x**4 + 8*x**2 + 6*x**3 - x**5.
-(x - 2)*(x + 1)**4
Let n(v) = -v**2 - v. Suppose -8*b = -4*b - 144. Let c(f) = 10*f**2 + 8*f. Let z(t) = b*n(t) + 4*c(t). Solve z(h) = 0 for h.
0, 1
Factor 0 - 1/4*s**3 + 9/4*s**2 + 5/2*s.
-s*(s - 10)*(s + 1)/4
Let b(m) be the first derivative of -m**4/18 + 16*m**3/9 - 5*m**2 + 44*m/9 - 400. Factor b(y).
-2*(y - 22)*(y - 1)**2/9
Suppose 4*q = -41 - 87. Let u = q - -36. Factor 2/3*z**3 + 0 - 2/3*z - 1/3*z**2 + 1/3*z**u.
z*(z - 1)*(z + 1)*(z + 2)/3
Let l(u) be the third derivative of -u**8/3360 + u**7/840 + 7*u**3/3 + 21*u**2. Let h(f) be the first derivative of l(f). Determine y so that h(y) = 0.
0, 2
Let p = 1105 - 1102. Factor 0*a + 0 - 1/11*a**2 - 2/11*a**p + 3/11*a**4.
a**2*(a - 1)*(3*a + 1)/11
Suppose 5*w = w + 36. Suppose 3*l + 6 + w = 0. Let m(p) = 7*p**2 + 9*p - 3. Let o(c) = -1. Let u(v) = l*o(v) + m(v). Let u(r) = 0. What is r?
-1, -2/7
Suppose 0 = 5*a - 3*n - n - 186, -2*n = 5*a - 162. Let z be a*(-46)/(-168) + 1/(-6). Factor 8/7 + 8*v**3 + 4/7*v**5 + z*v**2 + 36/7*v + 24/7*v**4.
4*(v + 1)**4*(v + 2)/7
Let z(w) be the third derivative of -w**8/168 + w**6/30 - w**4/12 + w**2 - 109*w. Suppose z(q) = 0. Calculate q.
-1, 0, 1
Let w(m) be the second derivative of -m**5/80 - 7*m**4/48 + m**3/24 + 7*m**2/8 - 12*m. Factor w(v).
-(v - 1)*(v + 1)*(v + 7)/4
Let m(h) be the second derivative of h**4/60 - 7*h**3/15 + 13*h**2/10 - 65*h. Find g such that m(g) = 0.
1, 13
Factor -29/5*y**2 + 0 + 6*y - 1/5*y**3.
-y*(y - 1)*(y + 30)/5
What is c in -90/19 + 528/19*c + 580/19*c**3 - 142/19*c**4 + 12/19*c**5 - 952/19*c**2 = 0?
1/3, 1/2, 3, 5
Suppose 32 = -d + 8*l, 5*d - 2 = -l + 2. Let z(m) be the first derivative of d*m + 2/27*m**3 + 1 - 2/9*m**2. Factor z(o).
2*o*(o - 2)/9
L