tor -5*n**2 - 4*n + 4*n**2 + 2*n**2 + 16*n.
n*(n + 12)
Find g, given that 0 - 30/17*g**2 - 16/17*g**3 - 2/17*g**4 + 0*g = 0.
-5, -3, 0
Let o(z) be the first derivative of 2*z**5/45 - 5*z**4/18 - 28*z**3/27 - 242. Suppose o(b) = 0. Calculate b.
-2, 0, 7
Let g(z) = -z**2 - 10*z - 7. Let q be g(-9). Determine c so that -6 - 149*c**2 + 149*c**2 + 4*c**3 - 12*c - q = 0.
-1, 2
Let w = 32725/65458 - -2/32729. Solve -w*a**3 - 4 + 3*a + 3/2*a**2 = 0.
-2, 1, 4
Let j be -201 + 200 - (-4)/3. Let o(d) be the second derivative of 2*d + 0 - j*d**4 + 0*d**3 + 2*d**2. Find b such that o(b) = 0.
-1, 1
Let i(p) be the first derivative of -3*p**3 + 10*p**2 - 4*p - 27. Factor i(k).
-(k - 2)*(9*k - 2)
Suppose 3*i**4 - 61*i**2 - 160*i + 84*i**2 - 60*i**3 + 2*i**4 + 157*i**2 = 0. What is i?
0, 2, 8
Let k be 3/(-6)*(-2 - 1). Let m = 8645 - 8643. Let 0 - a - k*a**3 - 7/2*a**m = 0. What is a?
-2, -1/3, 0
Suppose x - 3*r = 9, -4*x + 4*r + 6 = -14. Factor -4 + 7*q - 2*q + 2*q**x - 11*q.
2*(q - 2)*(q + 1)**2
Let x(c) be the second derivative of 3/50*c**6 - 1/70*c**7 + 0*c**2 + 17*c + 0 + 1/20*c**4 - 9/100*c**5 + 0*c**3. Factor x(z).
-3*z**2*(z - 1)**3/5
Suppose -f - 9 = -3*p - 2, 2*f = 5*p - 12. Factor -y + 4 + 0*y**2 - y + 0*y**p - 2*y**2.
-2*(y - 1)*(y + 2)
Let s(k) be the second derivative of -3*k**5/40 + k**4/4 + 306*k. Solve s(b) = 0.
0, 2
Factor 8/9*u + 2/9*u**4 + 8/3 - 2*u**2 + 0*u**3.
2*(u - 2)**2*(u + 1)*(u + 3)/9
Factor -2/5*q**5 - 742*q**2 - 58/5*q**4 - 10976/5 - 662/5*q**3 - 10192/5*q.
-2*(q + 4)**2*(q + 7)**3/5
Let s be (-6)/30 - ((-546)/(-65))/((-22)/1). Factor 0 + s*v**2 + 4/11*v.
2*v*(v + 2)/11
Suppose -2*t = -5*j + 4, 0 = -2*j + 6*j - t - 5. Let 11*v**2 + 8 - j*v**3 - 2 - 4*v**4 + 10*v**2 - 22*v + v**2 = 0. Calculate v.
-3, 1/2, 1
Let g(t) be the first derivative of 4/5*t**2 - 16 + 0*t**3 + 0*t - 1/10*t**4. Find b such that g(b) = 0.
-2, 0, 2
Suppose 3*l = -19 + 34. Let u(j) be the second derivative of 0*j**2 + 0*j**3 - 1/120*j**l + 0*j**4 + 0 - j. Suppose u(n) = 0. Calculate n.
0
Let x(g) be the third derivative of -42*g**2 - 1/420*g**7 + 1/40*g**5 - 1/120*g**6 + 1/12*g**4 + 0 - 1/3*g**3 + 0*g. Let x(i) = 0. What is i?
-2, 1
Let o(w) be the second derivative of w**5/50 + 2*w**4/15 - 7*w**3/15 - 2*w**2 + 25*w. Factor o(d).
2*(d - 2)*(d + 1)*(d + 5)/5
Let h(k) = -2*k + 22. Let z be h(10). Factor 7*j**2 - 7 + 0*j - j + 3*j**3 - z*j**3 + 0*j.
(j - 1)*(j + 1)*(j + 7)
Suppose -f - 4*s - 10 = -0*f, -4*f - 5*s = -15. Let a be 8/f*5/2. Factor -64 + 2*c + 18*c - c**2 + 12*c - 3*c**a.
-4*(c - 4)**2
Factor j**3 - 10312 + 6*j**2 + 10312 - 7*j.
j*(j - 1)*(j + 7)
Let x = -2421 + 2423. What is i in -3/8*i**3 + 1/8*i**4 + 0 + 1/8*i**5 + 1/4*i - 1/8*i**x = 0?
-2, -1, 0, 1
Suppose 4*h - 18 - 74 = 0. Let k be (3 - h/7)*-14. Find n, given that 24 + 304*n**3 + 240*n**k - 14*n - 448*n**5 - 292*n**2 + 62*n - 32 + 36*n = 0.
-1, 1/4, 2/7, 1/2
Suppose 4*s + 4*l = -4, 4 = -2*s + 3*l + 27. Let a(v) be the third derivative of 0*v**3 + 1/120*v**6 + 0*v + 0 - 8*v**2 + 1/12*v**s + 1/20*v**5. Solve a(r) = 0.
-2, -1, 0
Suppose 2*a - 4*a - 140 = 0. Let y = a + 113. Factor -y - 3*h**2 + 43.
-3*h**2
Let h = 28124/5289 - -28/1763. Factor 32/3 - h*g + 2/3*g**2.
2*(g - 4)**2/3
What is l in -85*l**4 - 111*l**3 - 73*l**2 - 34*l**3 + 161*l**2 - 63*l**2 + 70*l + 15*l**5 = 0?
-1, 0, 2/3, 7
Let r = -10 + -2. Let o be ((-8)/(-10))/(r/(-30)). Factor -3*s**o + 2*s - 3*s**3 + s**5 - 2*s**2 + 6*s**2 - s**4 + 0*s**3.
s*(s - 2)*(s - 1)*(s + 1)**2
Let q(m) = m**2 + 27*m - 1. Let v be q(-27). Let b be 2/8 + (15/(-20) - v). Factor 3/4*l - 1/2*l**2 + 3/4*l**4 - 1/4*l**5 - b*l**3 - 1/4.
-(l - 1)**4*(l + 1)/4
Let h(r) = -r**2 + 19*r + 333. Let y be h(-11). Let w(m) be the first derivative of 9 - 1/22*m**4 + 4/11*m + 3/11*m**2 + 0*m**y. Factor w(n).
-2*(n - 2)*(n + 1)**2/11
Let w(l) be the first derivative of 4*l**5/35 + 8*l**4/7 + 92*l**3/21 + 8*l**2 + 48*l/7 - 282. Factor w(h).
4*(h + 1)*(h + 2)**2*(h + 3)/7
Let l = 1/2366 - -2027/2366. Suppose 4/7*h + l - 2/7*h**2 = 0. What is h?
-1, 3
Let f(w) = -w**2 - 1. Let v = -24 - -19. Let k(y) = -4*y**2 - y + 21 + 10*y**2 + 9*y. Let j(q) = v*f(q) - k(q). Factor j(g).
-(g + 4)**2
Let s be ((-39)/9 - -3)/(6/18). Let m(a) = -2*a**5 - 8*a**4 + 8*a**2 + 2*a. Let u(v) = -v**5 - 7*v**4 + 7*v**2 + v. Let o(g) = s*u(g) + 3*m(g). Factor o(i).
-2*i*(i - 1)**3*(i + 1)
Factor 5 + 22*n - 2*n**3 - 47 + 6 - 3*n**2 + 19*n**2 + 0*n**2.
-2*(n - 9)*(n - 1)*(n + 2)
Let o(x) be the first derivative of -16*x**3 - 5*x**4 - 16*x + 7 - 24*x**2 - 3/5*x**5. Factor o(d).
-(d + 2)**3*(3*d + 2)
Let a = 1528 + -1523. Let u(q) be the second derivative of -1/15*q**5 + 0 - 1/9*q**4 + 2/9*q**3 + 2/3*q**2 - a*q. Let u(c) = 0. Calculate c.
-1, 1
Let b(o) = 3*o**3 + 13*o**2 + 5*o + 5. Let t(c) = -8*c**3 - 32*c**2 - 12*c - 12. Let p be (-2)/10 - 26/(-5). Let m(h) = p*t(h) + 12*b(h). Factor m(y).
-4*y**2*(y + 1)
Let l(g) be the first derivative of -g**6/90 + g**5/3 - 25*g**4/6 + 8*g**3/3 - 10. Let q(b) be the third derivative of l(b). Let q(w) = 0. What is w?
5
Suppose 0 = -4*m - 3*a + 191 - 164, 25 = 5*a. Solve 0 + 4/13*f**2 - 2/13*f**m - 2/13*f = 0 for f.
0, 1
Factor 0*a - 3/7*a**4 + 1/7*a**5 + 0 + 2/7*a**3 + 0*a**2.
a**3*(a - 2)*(a - 1)/7
Let a(w) = 7*w - 15. Let z be a(4). Factor -47*s**4 + 21*s**4 + 16*s**4 - 6*s**2 + z*s**4 + 3*s**3.
3*s**2*(s - 1)*(s + 2)
Factor -3*c**2 - 105*c + 25*c**3 - 2*c**2 - 6*c**4 + 49 + 41 + c**4.
-5*(c - 3)**2*(c - 1)*(c + 2)
Suppose -216*x + 207*x = -18. Let h(v) be the third derivative of 0*v**3 + 1/540*v**6 + 0*v**4 + 0*v + 1/270*v**5 - 9*v**x + 0. Let h(p) = 0. Calculate p.
-1, 0
Factor 23*c**3 + 14*c**3 - 18*c**2 - 10*c**3 - 89*c**4 + 86*c**4 + 0*c**2 - 48*c.
-3*c*(c - 8)*(c - 2)*(c + 1)
Let h(n) be the first derivative of -n**6/15 + 98*n**5/25 - 408*n**4/5 + 9728*n**3/15 - 4096*n**2/5 - 16. Determine x so that h(x) = 0.
0, 1, 16
Let o(f) = -10*f - 10. Let v be o(-5). Suppose v = -11*a + 21*a. Suppose 3/7*h**3 - 3/7*h - 9/7*h**2 + 0 + 9/7*h**a = 0. Calculate h.
-1, -1/3, 0, 1
Let w(m) be the third derivative of 0*m + 1/114*m**4 + 0 + 0*m**3 + 1/570*m**5 - 20*m**2 - 1/1140*m**6. Determine o so that w(o) = 0.
-1, 0, 2
Factor 107*j**2 - 11*j + 152*j - 110*j**2.
-3*j*(j - 47)
Let n(p) = p**3 - 4*p**2 - 4*p - 1. Suppose 0 = 4*d - d - 15. Let c be n(d). Let 8*b**c - 3*b + 13*b**4 - 69*b**3 + 81*b**2 - 36*b + 6 = 0. What is b?
2/7, 1
Let v(l) = -l**3 + l - 1. Let q(b) be the first derivative of 3*b**4/2 + 2*b**3 - 9*b**2 + 8*b - 45. Let w(o) = 2*q(o) + 4*v(o). Solve w(n) = 0 for n.
-3, 1/2, 1
Suppose -21*c - 8 = -8. Let v(r) be the first derivative of 3*r**2 + 3/4*r**4 - 3*r**3 + c*r + 4. Factor v(x).
3*x*(x - 2)*(x - 1)
Suppose 0 = -5*c + 5*p - 5, 0 = 4*c + 2*p - 136 + 122. Factor 4/5*u**3 + 4/5*u + 24/5 - 16/5*u**c.
4*(u - 3)*(u - 2)*(u + 1)/5
Let h = -5264/11 + 480. Factor 5/11*p**2 + 4/11 + h*p - 25/11*p**3.
-(p - 1)*(5*p + 2)**2/11
Let h(b) be the third derivative of -5*b**8/56 - 5*b**7/6 + 53*b**6/24 + 7*b**5/4 - 235*b**4/24 + 35*b**3/3 - 321*b**2. Solve h(v) = 0.
-7, -1, 1/2, 2/3, 1
Let l be (-4)/(-1) - (2 - 0). Let h = -9 + 9. Determine d, given that -3*d**3 - d**4 + h*d + d**l + 2*d**3 + d = 0.
-1, 0, 1
Factor -360 + 110*i**2 - 5*i**3 + 177*i**2 - 4*i + 9*i + 73*i**2.
-5*(i - 72)*(i - 1)*(i + 1)
Let a be (42/35)/((-2)/(-50)). Suppose -61*c = -55*c - a. Let -4/3*k**3 + 0*k**2 + 2/3*k**c + 0*k**4 + 0 + 2/3*k = 0. Calculate k.
-1, 0, 1
Factor -1/6*b**3 - 15/2*b**2 - 88*b - 242/3.
-(b + 1)*(b + 22)**2/6
Solve 8 - 23/2*s**3 + 11*s + 1/2*s**5 - 5/2*s**4 - 11/2*s**2 = 0 for s.
-2, -1, 1, 8
Let k(p) be the third derivative of p**5/90 + p**4/12 - p**2 + 8. Factor k(y).
2*y*(y + 3)/3
Let i(y) be the first derivative of y**6/72 + 7*y**5/24 - 5*y**4/3 - 9*y**3 + 32. Let h(b) be the third derivative of i(b). Determine j, given that h(j) = 0.
-8, 1
Let n(c) be the third derivative of c**7/5460 - c**5/195 + 13*c**3/3 + 3*c**2. Let j(p) be the first derivative of n(p). Factor j(o).
2*o*(o - 2)*(o + 2)/13
Let p = 4/5 - 3/10. Let a(f) = -6*f - 502. Let d be a(-84). Solve 0*l + 0 - l**3 - p*l**d - 1/2*l**4 = 0 for l.
-1, 0
Find g, given that 24/19*g**2 - 30/19*g + 2/19*g**3 - 52/19 = 0.
-13, -1, 2
Let d(r) be the third derivative of 0 - 1/15*r**5 + 0*r - 1/6*r**4 + 4/3*r**3 + r**2. So