3 = 0. Calculate l.
-1, 4
Let l = 5 - 1. Let m be l/((-48)/(-18)*(-42)/(-8)). Factor -4/7*d + m*d**2 + 2/7.
2*(d - 1)**2/7
Factor -40 + 25*h - h**3 - 106*h + 23*h**2 + 0*h**3 - 65*h**2.
-(h + 1)**2*(h + 40)
Let j(s) be the third derivative of 1/84*s**8 + 0*s**3 + 0*s**5 - 5*s**2 + 0*s + 0*s**4 - 1/10*s**6 + 0 + 4/105*s**7. Find n, given that j(n) = 0.
-3, 0, 1
Let a(j) be the second derivative of -7*j**4/3 + 80*j**3/3 + 24*j**2 - 113*j. Factor a(k).
-4*(k - 6)*(7*k + 2)
Let f(y) be the first derivative of y**5/40 + y**4/12 + y**3/12 - 10*y - 46. Let v(m) be the first derivative of f(m). Factor v(s).
s*(s + 1)**2/2
Let i(z) be the second derivative of -30*z**3 + 5/2*z**4 + 0 + 25/4*z**5 - 3/2*z**6 - 20*z**2 - 10*z. Determine f so that i(f) = 0.
-1, -2/9, 2
Let n(i) be the third derivative of i**5/70 + i**4/28 - 6*i**3/7 - 86*i**2. Factor n(x).
6*(x - 2)*(x + 3)/7
Let k = -23 + 26. Let -34*c**2 + k*c + 35*c**2 - 4*c = 0. What is c?
0, 1
Let c(u) = 4*u - 17. Let j be c(5). Find f such that -6*f + 0 + j*f**2 - 2*f**2 - 3*f**2 - 4 = 0.
-2, -1
Let v(r) be the second derivative of 0*r**2 + 1/6*r**3 - 1/48*r**4 + 0 - 18*r. Let v(h) = 0. Calculate h.
0, 4
Factor -3*v**3 + 8*v**3 + 32*v**2 - 44*v + 12 + 3*v**3 + 8*v**3.
4*(v + 3)*(2*v - 1)**2
Factor -4*q**2 - 6*q + 10*q - 6*q + 70*q.
-4*q*(q - 17)
Let h(t) = -5*t**2 - 2*t + 3. Let c(u) = u - 215*u**2 + 204*u**2 - 6*u + 6. Let w(f) = -4*c(f) + 9*h(f). Let w(b) = 0. What is b?
-1, 3
Suppose 2*z = -4*w + 72, 0 = 2*w - 5*z - 89 + 29. Suppose 0 = 5*p - w, -7*p - 4 = -4*k - 6*p. Factor k*m**4 + 14/5*m**3 + 0 - 6/5*m - 2/5*m**2.
2*m*(m + 1)**2*(5*m - 3)/5
Let v(p) be the first derivative of 8/9*p**3 - 4/15*p**5 + 3 - 1/3*p**2 + 1/3*p**4 - 4/3*p - 1/9*p**6. Let v(r) = 0. What is r?
-2, -1, 1
Let b(u) be the second derivative of -u**7/15120 + u**5/720 - 11*u**4/6 + 24*u. Let a(n) be the third derivative of b(n). Determine l so that a(l) = 0.
-1, 1
Factor 44/3*g - 14/3*g**2 - 40/3 + 1/3*g**3.
(g - 10)*(g - 2)**2/3
Let p = 28861/4 - 7213. Let t be -1 + (-14)/16*-2. Factor p*s + 0 - t*s**2 - 1/4*s**4 - 5/4*s**3.
-s*(s - 1)*(s + 3)**2/4
Determine m so that 2/3 - 2/3*m**2 - 2/3*m**3 + 2/3*m = 0.
-1, 1
Let t = 41/7 - 198/35. Factor 0 - 1/5*q + 0*q**2 + t*q**3.
q*(q - 1)*(q + 1)/5
Let z(i) = -6*i - 3. Let t be z(4). Let o be 96/54 - 6/t. Solve 12*p + o*p**2 + 2*p**2 + 2*p**2 + 12 - 3*p**2 = 0.
-2
Factor -6/13*s**2 - 6/13*s**3 + 0 - 2/13*s - 2/13*s**4.
-2*s*(s + 1)**3/13
Let f = -330/323 - -280701/646. Find a, given that -f*a**2 - 1/4*a**4 - 83521/4 - 4913*a - 17*a**3 = 0.
-17
Factor 22*i + 10 - 10 + i - 29*i**2 - i**4 - 5*i + 12*i**3.
-i*(i - 9)*(i - 2)*(i - 1)
Let o(w) be the third derivative of w**6/30 + 4*w**5/5 + 7*w**4/2 + 20*w**3/3 + 3*w**2 + 5*w. Solve o(y) = 0 for y.
-10, -1
Let d = -159 + 148. Let u be (1 + d/5)*(-140)/42. What is n in -27/4*n**u - 24*n**3 - 42*n**2 - 12 - 36*n - 3/4*n**5 = 0?
-2, -1
Let i be 885/90 + (-8 - 1). Factor i*f - 1/6*f**2 + 0.
-f*(f - 5)/6
Let s be 6048/324 - (-2 - -20). Suppose 0*a + 8/3*a**3 + 10/3*a**4 + 0 + s*a**5 + 0*a**2 = 0. Calculate a.
-4, -1, 0
Let z(q) be the second derivative of -q**5/150 + q**4/20 - 5*q**2 - 10*q. Let k(s) be the first derivative of z(s). Factor k(f).
-2*f*(f - 3)/5
Let u(b) be the first derivative of -b**6/3 - 242*b**5/5 - 237*b**4 - 1412*b**3/3 - 469*b**2 - 234*b + 544. Factor u(s).
-2*(s + 1)**4*(s + 117)
Suppose -1841*q = -1869*q. Factor -10/3*h**2 + q + 5*h - 5/3*h**3.
-5*h*(h - 1)*(h + 3)/3
Let d = -47 - -55. Suppose 14*n - d*n = 0. Factor 0*a + n*a**2 + 0 - 2/3*a**4 + 4/9*a**5 + 2/9*a**3.
2*a**3*(a - 1)*(2*a - 1)/9
Factor 2/3*z**4 + 0*z - 8/3*z**3 + 2*z**2 + 0.
2*z**2*(z - 3)*(z - 1)/3
Let r be ((-12)/8)/(9/6). Let f(k) = 4*k + 6. Let p be f(r). Factor -1/2*s**p + 0*s + 3/2*s**3 - 3/2*s**4 + 0 + 1/2*s**5.
s**2*(s - 1)**3/2
Let g(y) be the second derivative of 2/15*y**5 - 2/45*y**6 + 0*y**3 + 0*y**2 - 2*y + 0*y**4 + 0 - 2/63*y**7. Solve g(c) = 0.
-2, 0, 1
Suppose -o = 5*h + 5, 0*o - 4*o = -2*h + 20. Let q be (18/(-21) + h)/(-1). Find d such that -2/7*d**2 - q - 8/7*d = 0.
-3, -1
Let f(o) = -o + 12. Suppose 2*n - 40 = -2*n. Let m be f(n). Factor -5*d**2 - 6*d - 1 - 4*d**3 + 3*d**2 + 0*d**m - 7*d**2.
-(d + 1)**2*(4*d + 1)
Let b be 630/567*32/20. Factor -2/9*t**2 - 32/9 - b*t.
-2*(t + 4)**2/9
Let j be ((-216)/(-252))/((-45)/(-42)). Let 0 + 0*i + 2/5*i**2 - j*i**3 + 2/5*i**4 = 0. Calculate i.
0, 1
Let z = -157 - -161. Determine o so that 4*o**z + 2*o**4 - 5*o**4 - 2*o**5 - 3*o**4 = 0.
-1, 0
Let d be 168/(-1764) + 1/(105/73). Factor 6/5 - 3/5*j - d*j**2.
-3*(j - 1)*(j + 2)/5
Let i(b) be the second derivative of -2/3*b**3 - 1/180*b**6 + 0*b**2 + 0 - 4/3*b**4 - 2/15*b**5 - 8*b. Let t(x) be the second derivative of i(x). Factor t(c).
-2*(c + 4)**2
Let w(n) be the first derivative of -7*n**6/18 - 47*n**5/15 - 91*n**4/12 - 11*n**3/3 + 3*n**2 - 81. Find s such that w(s) = 0.
-3, -1, 0, 2/7
Let b(k) be the third derivative of -k**5/20 + 25*k**4/8 - 165*k**2. Factor b(j).
-3*j*(j - 25)
Let t(k) = 4*k**3 + 5*k**2 - 2*k**3 + 10*k + k**3. Let p(i) = 3*i**3 + 6*i**2 + 9*i. Let r(u) = -4*p(u) + 3*t(u). Factor r(o).
-3*o*(o + 1)*(o + 2)
Suppose n = g - 7, -4*n - 29 = -9. Let a(i) be the first derivative of 3/20*i**5 + 0*i + 2 + 0*i**g - 3/16*i**4 + 0*i**3. Factor a(v).
3*v**3*(v - 1)/4
Let s(c) = -9*c**4 - 146*c**3 + 161*c**2 + 314*c. Let r(y) = -y**4 + y**3 - y**2 + y. Let j(x) = -4*r(x) + s(x). Factor j(d).
-5*d*(d - 2)*(d + 1)*(d + 31)
Let v(l) = -44*l**4 + 192*l**3 - 420*l**2 + 444*l - 192. Let n(x) = x**5 + x**2 + x. Let c(a) = -4*n(a) - v(a). Suppose c(p) = 0. Calculate p.
2, 3
Factor -447*n - 341*n - 5*n**3 + 62*n**2 + 58*n**2 + 203*n - 1690.
-5*(n - 13)**2*(n + 2)
Let x be (-22 + 12 + 9)/((-1)/3). Let c(h) be the second derivative of 1/5*h**2 - 2*h - 1/5*h**x + 0 + 1/10*h**4 - 1/50*h**5. Factor c(p).
-2*(p - 1)**3/5
Let u(j) = 2*j**2 - j. Let r(s) = 7*s**2 + 18*s - 48. Let c(v) = -r(v) + 3*u(v). Let g be c(-23). Determine p so that 0 + 0*p + 4/9*p**g + 4/9*p**3 = 0.
-1, 0
Let r(o) be the third derivative of 0*o**5 + 0 + 1/2520*o**6 + 5/6*o**3 - 3*o**2 - 1/42*o**4 + 0*o. Let c(m) be the first derivative of r(m). Factor c(s).
(s - 2)*(s + 2)/7
Let p(y) = -15 + 10 + 0*y + 2*y. Let m be p(4). Factor -5/4*a + 1/4*a**m - 1/4*a**2 - 3/4.
(a - 3)*(a + 1)**2/4
Let x(w) = 2*w**2 - 5*w - 2. Let p be x(4). Let c = -7 + p. Factor 3*s**4 - 6*s**3 + 2*s**4 - s**4 - 2*s**c.
4*s**3*(s - 2)
Find v such that -1/2*v + 1/2*v**3 + 23/2*v**2 - 23/2 = 0.
-23, -1, 1
Suppose 20 = -2*f + 24. Let r(d) be the third derivative of 5*d**f - 1/240*d**6 + 0*d + 1/48*d**4 + 0 + 0*d**3 + 0*d**5. Factor r(j).
-j*(j - 1)*(j + 1)/2
Let w be (-2)/(((-1)/4)/(6/12)). Let j = 260/99 + -22/9. Solve -10/11*a**5 + 0*a + 0 - j*a**2 - 14/11*a**3 - 2*a**w = 0 for a.
-1, -1/5, 0
Let h(m) be the second derivative of m**5/30 - m**4/6 - m**3 - 5*m**2/3 - 147*m. Let h(d) = 0. What is d?
-1, 5
Let a(q) = 3*q - 72. Let v be a(14). Let h = v - -32. Solve -1/9*i**3 - 5/9*i - 4/9*i**h - 2/9 = 0 for i.
-2, -1
Suppose -4*b + 5 = -0*y + 3*y, 5*b + 5*y - 5 = 0. Let u be -9 + ((-32)/12 - 777/(-63)). What is d in -8/3*d - u*d**b - 2 = 0?
-3, -1
Let h(u) be the second derivative of -3*u**5/20 + u**4 - 3*u**3/2 + u - 67. Let h(v) = 0. Calculate v.
0, 1, 3
Let s(o) = -10*o**5 + 6*o**4 - 3*o**3 + 7*o**2 - 7*o + 7. Let y(q) = 3*q**5 - 2*q**4 + q**3 - 2*q**2 + 2*q - 2. Let j(b) = -2*s(b) - 7*y(b). Factor j(l).
-l**3*(l - 1)**2
Let l = -15963 + 15966. Factor -2/7*g + 3/7*g**2 + 0 - 1/7*g**l.
-g*(g - 2)*(g - 1)/7
Let n(u) be the third derivative of -u**6/300 - 11*u**5/75 - 79*u**4/60 + 34*u**3/5 - 6*u**2 + 28. Factor n(z).
-2*(z - 1)*(z + 6)*(z + 17)/5
Solve 61/4*v - 1/4*v**4 - 31/2 + 63/4*v**2 - 61/4*v**3 = 0.
-62, -1, 1
Let g be 1/12*3*(2 + -2). Suppose -4/5*q + g + 2/5*q**2 = 0. What is q?
0, 2
Let f(n) be the second derivative of -n**4/72 + 11*n**3/36 - 2*n**2 + 370*n. What is l in f(l) = 0?
3, 8
Factor 7/2 - 7/2*r**2 - 1/2*r**3 + 1/2*r.
-(r - 1)*(r + 1)*(r + 7)/2
Let g(p) be the third derivative of 0*p + 17/60*p**4 + 0 + 26*p**2 + 4/75*p**5 + 1/300*p**6 + 2/3*p**3. Suppose g(o) = 0. What is o?
-5, -2, -1
Let z be 2/(24/4) - 251/(-3). Let b = z + -82. Factor -8/7*s - 8/7 - 2/7*s**b.
-2*(s + 2)**2/7
Suppose -p + z - 4 = 0