*j - 26*j**2 - 4/525*j**7 + 0*j**3 + 0. Solve n(x) = 0.
0, 1, 2
Factor 11*l**4 + 140*l + 32*l**3 - 12 + 26*l**3 + 72 - 6*l**4 - 18*l**3 + 115*l**2.
5*(l + 1)*(l + 2)**2*(l + 3)
Let q be 20/4 - 3/((-12)/(-16)). Let g be 2 - (q + -3 - 1). Factor d**3 + 2/3*d - 1/3*d**4 + 0 + 5/3*d**2 - 1/3*d**g.
-d*(d - 2)*(d + 1)**3/3
Let 8*k - 11/4 - 15/2*k**2 + 1/4*k**4 + 2*k**3 = 0. Calculate k.
-11, 1
Let n(h) be the first derivative of 3*h**5/20 - 3*h**4/2 + 9*h**3/2 - 16*h + 12. Let b(i) be the first derivative of n(i). Suppose b(t) = 0. What is t?
0, 3
Let l be 2/(-21) - (-556)/834. Factor 16/7*r**2 - 9/7*r**3 + 0 + l*r.
-r*(r - 2)*(9*r + 2)/7
Let j be (-7)/(-2) - 2/(-4). Let x be 13 - ((-120)/(-14) + 92/(-161)). Factor -2/15*w**2 + 2/15*w**j + 0 + 0*w - 2/15*w**x + 2/15*w**3.
-2*w**2*(w - 1)**2*(w + 1)/15
Let o(p) be the first derivative of p**4/28 - 22*p**3/3 + 2886*p**2/7 + 12168*p/7 + 850. Factor o(v).
(v - 78)**2*(v + 2)/7
Let m be 192/24 - (2*1 - 0). Suppose 13*c**5 + 11*c**5 + 48*c**3 - 27*c**5 + m*c**2 - 45*c - 24 + 18*c**4 = 0. Calculate c.
-1, 1, 8
Let m(g) be the first derivative of g**7/840 + g**6/480 - g**5/80 - 5*g**4/96 - g**3/12 - 3*g**2 + 23. Let l(v) be the second derivative of m(v). Factor l(h).
(h - 2)*(h + 1)**3/4
Let d = -14247 + 14250. Let 21/5*b**d + 48/5 - 36/5*b**2 - 3/5*b**4 - 12/5*b = 0. Calculate b.
-1, 2, 4
Let o(a) = 2*a**5 + 2*a**4 + 2*a**3 + 6*a. Let v be -1 - 77/(-49) - (-11)/(-7). Let t(n) = n**5 + n. Let b(g) = v*o(g) + 6*t(g). Factor b(j).
2*j**3*(j - 1)*(2*j + 1)
Determine x so that 3/7*x**4 + 30/7*x**3 - 69/7*x**2 - 720/7*x + 1728/7 = 0.
-8, 3
Let z(h) be the first derivative of h**6/360 - h**5/40 - h**4/6 + 41*h**3/3 - 39. Let b(u) be the third derivative of z(u). Let b(i) = 0. Calculate i.
-1, 4
Let r(i) = i**3 + 8*i**2 - 9*i + 3. Let n be r(-9). Solve 6*c**2 - 2*c + n*c**2 + c**3 - 8*c**2 = 0 for c.
-2, 0, 1
Factor -5/6*c + 1/6*c**4 + 0 - 1/2*c**3 - 3/2*c**2.
c*(c - 5)*(c + 1)**2/6
Suppose -2 = 2*a, -2*h + 0*h - a = -5. Suppose -4*t + 15 = -i + 2*i, h*t = -2*i + 10. Factor -3 + 5 + 0*k**4 + 2*k**4 - 4 - 4*k + t*k**3.
2*(k - 1)*(k + 1)**3
Suppose 12/5*d**4 + 0 + 0*d + 2/5*d**5 + 24/5*d**3 + 16/5*d**2 = 0. What is d?
-2, 0
Let j be 2 + (-16)/6 + -1 - 392/(-192). Find m such that 3/8*m**4 + j*m**2 + 0*m + 3/4*m**3 + 0 = 0.
-1, 0
Let z = 14 + -12. Let h = -6 - -7. Factor 2*q - 3*q - h - 5 + 5 + q**z + q**3.
(q - 1)*(q + 1)**2
Let v be 2/(-6)*0/45. Let l(k) be the second derivative of 5*k + 1/2*k**2 + v + 1/6*k**3 - 1/12*k**4 - 1/20*k**5. Solve l(c) = 0.
-1, 1
Let i = 16835 - 16832. Factor 0*r + 1/4*r**5 + 1/4*r**2 - 1/4*r**i + 0 - 1/4*r**4.
r**2*(r - 1)**2*(r + 1)/4
Let s(w) = w**3 + 9*w**2 + 9*w + 11. Let t be s(-8). Let b be ((-1)/3)/(2/(-12)). Factor -9*z**4 - 4*z**2 + 9*z**3 - 2*z**2 - t*z**b + 3*z + 6*z**4.
-3*z*(z - 1)**3
Let q(j) = -j**4 + j**3 - j**2 - 1. Let u(z) = 3*z**4 - 13*z**3 - 13*z**2 + 1. Let b(t) = q(t) + u(t). Factor b(g).
2*g**2*(g - 7)*(g + 1)
Let r(l) be the third derivative of -l**5/5 - 251*l**4/8 + 63*l**3/2 + 2*l**2 + 130. Determine u so that r(u) = 0.
-63, 1/4
Let z(r) be the second derivative of r**7/630 + r**6/36 + 2*r**5/15 - 13*r**4/12 - 8*r. Let o(a) be the third derivative of z(a). Solve o(d) = 0.
-4, -1
Let a(o) be the third derivative of 1/168*o**8 - 7/6*o**3 + 1/3*o**5 - 1/12*o**6 + 0 - 32*o**2 - 13/210*o**7 + 1/3*o**4 + 0*o. Solve a(l) = 0.
-1, 1/2, 1, 7
Suppose b - 5*n = 13 + 1, -3*b - 2*n = -76. Let q = 27 - b. Factor -2/11*p + 0 + 6/11*p**2 - 6/11*p**q + 2/11*p**4.
2*p*(p - 1)**3/11
Let w = -181995/23 - -7913. Factor w*t**4 - 6/23*t**3 + 0*t**2 + 0*t + 0.
2*t**3*(2*t - 3)/23
Let q(g) = -g**3 + 3*g**2 - 23*g - 24. Let w be q(-1). Factor 0*l + 0 + 1/7*l**2 - 1/7*l**w + 1/7*l**5 - 1/7*l**4.
l**2*(l - 1)**2*(l + 1)/7
Let b(c) = 6*c**2 + 4*c - 11. Let w be b(-5). Let j be (-8)/68 - (-48)/w. Factor -10/7*y**3 - 4/7 - 18/7*y**2 - j*y**4 - 2*y.
-2*(y + 1)**3*(y + 2)/7
Let q = 739 + -2209/3. Let q + 2/3*l**4 - 10/3*l**3 + 2/3*l**5 - 10/3*l**2 + 8/3*l = 0. What is l?
-2, -1, 1, 2
Let q(r) = r**2 - 12*r + 6. Let v(f) = -f - 1. Let l(t) = q(t) - 4*v(t). Let g be l(7). Find c such that 3*c**g + c + c - 5*c = 0.
-1, 0, 1
Let -10*c + 200/13 + 28/13*c**2 - 2/13*c**3 = 0. Calculate c.
4, 5
Let d(k) = -k. Let o be d(4). Let g be o/10 - (-66)/15. Factor 5 + 23*h**2 - 9 + 12*h**3 - 3*h**2 + g*h.
4*(h + 1)**2*(3*h - 1)
Let s(u) be the third derivative of u**6/240 - u**5/24 - u**4/8 - 10*u**2 + 12*u. Factor s(d).
d*(d - 6)*(d + 1)/2
Let v(i) be the second derivative of -i**7/945 - i**6/540 + i**5/54 - i**4/36 - 21*i**2/2 + 7*i. Let t(a) be the first derivative of v(a). Factor t(k).
-2*k*(k - 1)**2*(k + 3)/9
Let o be (9801/63)/(3/(-2)) - -1. Let c = o + 103. Factor 2/7*k**5 + 0*k + 0 + c*k**4 - 2/7*k**3 - 2/7*k**2.
2*k**2*(k - 1)*(k + 1)**2/7
Let y(f) = -3*f**4 - 115*f**3 - 842*f**2 - 1598*f + 2558. Let w(m) = m**4 - m**2 + m - 1. Let b(g) = 2*w(g) - y(g). Factor b(l).
5*(l - 1)*(l + 8)**3
Let c be 5 + 9/432*-236. Let r(y) be the first derivative of -1/16*y**4 - 11 + 1/4*y**2 + 0*y - c*y**3. Suppose r(q) = 0. Calculate q.
-2, 0, 1
Find c such that -c**4 + 9*c + c**4 + 477*c**3 - 200 + 31*c + 198*c**2 + 2*c**4 - 517*c**3 = 0.
-1, 1, 10
Let w be (-1056)/20 + (1 - 5). Let k = w + 57. Find j such that -1/5*j + 2/5 - k*j**2 = 0.
-2, 1
Let s(a) = 18*a**2 - 17*a - 3. Let n(p) = p**2 + p - 1. Let k(v) = 2*n(v) + s(v). Factor k(f).
5*(f - 1)*(4*f + 1)
Let d(o) be the first derivative of 4/3*o**3 + 6*o**2 + 8*o - 8. Factor d(x).
4*(x + 1)*(x + 2)
Let d be 72/70 + 24/(-112)*2. Suppose 5*m + 2*u + 6 = 21, 3 = m - 3*u. Let -d*a**4 + 7/5*a**m - 3/5*a**2 - 3/5*a + 2/5 = 0. What is a?
-2/3, 1
Factor 2/7*b**2 - 62/7*b - 64/7.
2*(b - 32)*(b + 1)/7
Let m(g) = -g + 15. Let q be m(14). Let i be (-10)/(-5) - 2/q. Let 16 - 3*j**4 + 20*j + i*j**3 - 9*j**2 - 4 - 8*j - 12*j**3 = 0. What is j?
-2, -1, 1
Let j(g) = -2*g**3 + 2*g**2 - 8. Let k(l) = 0*l**2 + 3*l**2 - 2*l**2. Let w(z) = -j(z) - 4*k(z). Factor w(s).
2*(s - 2)**2*(s + 1)
Let u be (0 + -1)*1 + 1. Let i be (((-104)/(-130))/(1/(-5)))/(-2). Factor -2*v**i + u*v - v**2 - 4*v + 7*v.
-3*v*(v - 1)
Let q(l) = -l**3 + 11*l**2. Let g(j) = j + 23. Let b be g(-12). Let p be q(b). Factor 1/6*d**3 - 1/6*d + p + 0*d**2.
d*(d - 1)*(d + 1)/6
Let j(i) be the second derivative of -i**5/60 - i**4/24 - 3*i**2/2 - 20*i. Let h(d) be the first derivative of j(d). Let h(f) = 0. Calculate f.
-1, 0
Let v(b) be the second derivative of -b**4/24 + 7*b**3/2 - 441*b**2/4 - 169*b. Factor v(l).
-(l - 21)**2/2
Factor -1/3*m**2 - 1/3*m**3 + 4/3*m + 4/3.
-(m - 2)*(m + 1)*(m + 2)/3
Suppose 5*k = h - 0*k - 752, 0 = -h + 2*k + 758. Let b be h/56 - -4*6/(-32). Solve -12*p - b*p**2 - 24/7 - 27/7*p**3 = 0.
-2, -2/3
Factor 18/11*o**5 + 208/11*o**2 + 386/11*o**3 + 156/11*o**4 + 0 + 32/11*o.
2*o*(o + 4)**2*(3*o + 1)**2/11
Let n(b) = -5*b**2 - 580. Let u(j) = 9*j**2 - 12*j + 1159. Let r(p) = 7*n(p) + 4*u(p). Factor r(m).
(m - 24)**2
Factor -122*i + 26*i - 1071*i**3 + 20*i**2 + 1075*i**3.
4*i*(i - 3)*(i + 8)
Let t(n) be the first derivative of -4/5*n + 11/15*n**3 - 9 - 4/5*n**2 + 3/4*n**4. Factor t(o).
(o + 1)*(3*o - 2)*(5*o + 2)/5
Let k(a) = -a**3 - 8*a**2 + 3*a + 22. Let w be k(-8). Let l be (33/(-22))/(2 - (-16)/w). Factor -1/4*j**4 + 1/4*j**3 + l*j**2 + 0 - 1/4*j.
-j*(j - 1)**2*(j + 1)/4
Determine b so that -4/17*b**4 - 14/17*b + 16/17*b**3 + 8/17 - 4/17*b**2 - 2/17*b**5 = 0.
-4, -1, 1
Suppose 0 = -5*x - 5*v + 18 + 22, -x = 2*v - 8. Let k = x + -4. Factor -5*h**5 + 14*h**2 + 11*h**3 - 4 - 4*h + h**5 - 6*h**2 - 3*h**3 - k*h**4.
-4*(h - 1)**2*(h + 1)**3
Let t(o) be the third derivative of 6*o**2 - 7/200*o**6 + 4/25*o**5 + 0 - 11/40*o**4 + 1/5*o**3 + 0*o. Suppose t(k) = 0. Calculate k.
2/7, 1
Let z = 18 + -19. Let k be z/(-4) - 110/(-40). What is g in 9*g**k - 3*g + 25*g**2 + 0*g - 19*g**2 = 0?
-1, 0, 1/3
Let l = -25 + 30. Factor -10*n**2 - 10*n + 5*n**5 - 15*n**2 + 50*n**l - 31*n**4 - 124*n**4 + 135*n**3.
5*n*(n - 1)**3*(11*n + 2)
Let a(b) = 5*b**3 - 9*b**2 + 4*b - 2. Let v(r) = -6*r**3 + 9*r**2 - 3*r + 3. Suppose 11*l = 16*l - 10. Let h(w) = l*v(w) + 3*a(w). Let h(j) = 0. What is j?
0, 1, 2
Let i be (-18)/45*5/(-24)*1. Let z(k) be the first derivative of 1/8*k**2 - 5 + i*k**3 + 0*k. Factor z(a).
a*(a + 1)/