3 + 9*n + 41*n**2 - 17*n = 0. What is n?
0, 2/5, 1
Suppose -92*r = -122*r + 90. Let o(i) be the first derivative of 2/21*i**r + 8/7*i + 4/7*i**2 + 6. Solve o(v) = 0 for v.
-2
Let j(t) be the third derivative of -t**5/80 + 5*t**4/32 - t**3/2 + 64*t**2. Solve j(l) = 0 for l.
1, 4
Suppose 0 = -98*q + 24 + 172. Let 0 + 1/2*r**2 - q*r = 0. Calculate r.
0, 4
Let y(b) = 88*b + 355. Let i be y(-4). Let r(t) be the third derivative of 0 + 4/3*t**i - 7*t**2 - 4/15*t**5 - 7/6*t**4 + 0*t. Factor r(w).
-4*(w + 2)*(4*w - 1)
Let l(q) be the third derivative of -q**9/22680 + q**7/3150 - q**5/900 + 8*q**3/3 + 9*q**2. Let t(z) be the first derivative of l(z). Find f such that t(f) = 0.
-1, 0, 1
Let k(j) = 27*j - 20. Let s be k(10). Factor -112*i**4 + 7*i**5 + s*i**4 - 4*i**5 - 126*i**4 - 48*i**2 - 48*i.
3*i*(i - 2)*(i + 2)**3
Let j(w) = 3*w. Let a be j(1). Suppose -2*x - 2*x + 12 = 0. Factor 0*b**3 + 4*b**4 - 5*b**x + 2*b**2 - b**5 - 3*b**3 + 3*b**a.
-b**2*(b - 2)*(b - 1)**2
Let c(q) be the first derivative of 4/15*q**5 - 1 + 0*q**2 + 1/6*q**4 - 2/9*q**3 + 0*q. Factor c(a).
2*a**2*(a + 1)*(2*a - 1)/3
Let o be (332/(-830))/(2/(-20)). Let -2/17*v + 2/17*v**o - 6/17*v**3 + 6/17*v**2 + 0 = 0. Calculate v.
0, 1
Factor 7355 - 1266*g + 394*g - 54879 + 28782*g**2 - 28786*g**2.
-4*(g + 109)**2
Let r(q) be the first derivative of -q**5/30 - q**4/4 - 2*q**3/3 - 6*q**2 + 7. Let y(p) be the second derivative of r(p). Factor y(o).
-2*(o + 1)*(o + 2)
Suppose 2*j + 107 = 111. Let o(r) be the third derivative of 1/120*r**5 + j*r**2 + 0*r**4 + 0*r**3 + 0*r + 0. Suppose o(b) = 0. Calculate b.
0
Factor 5 - 5/2*q**2 - 23/2*q.
-(q + 5)*(5*q - 2)/2
Let y = -78 + 81. Let -41*i**2 - 50*i**3 + 95*i**y - 21*i**4 + 3*i**5 + 14*i**2 = 0. What is i?
0, 1, 3
Factor -40 - 2/15*p**3 - 58/3*p - 44/15*p**2.
-2*(p + 5)**2*(p + 12)/15
Suppose 3*i + 17 + 73 = 0. Let p(a) = 25*a**2 - 40*a - 110. Let j(y) = y**2 - 1. Let z(w) = i*j(w) + p(w). Factor z(n).
-5*(n + 4)**2
What is y in 5/2*y**3 - 3/4*y**5 - 7/2*y**4 - 5/2 - 7/4*y + 6*y**2 = 0?
-5, -1, -2/3, 1
Let o(x) = -x**2 - 3*x - 2. Let y be o(-3). Let n(w) = 2*w**2 + 3*w + 1. Let m be n(y). Solve 8*f**2 - f**3 + 0*f**3 + 0*f**2 - f**m = 0 for f.
0, 4
Suppose -3*j - 24 = -6*j. Factor 2 - j*m**2 + 14*m**3 - 2 + 12*m**2.
2*m**2*(7*m + 2)
Let -12*l + 142*l**2 + 0 - 563*l**3 - 567/2*l**5 + 1629/2*l**4 = 0. What is l?
0, 2/9, 3/7, 2
Factor -144*q - 243 - 64/3*q**2.
-(8*q + 27)**2/3
Let a(k) = -15*k + 3. Let f be a(-2). Factor -l**2 - 13*l + f*l - 5*l - 10*l + 14.
-(l - 7)*(l + 2)
Factor -1/6*r**2 + 0 + 2/3*r.
-r*(r - 4)/6
Let o be (-4)/14 - (-852)/42. Let l be ((-9)/(-6))/(15/o). Factor 0*h - 2/7*h**3 + 0 - 2/7*h**l.
-2*h**2*(h + 1)/7
Let y be (68/(-12))/1*-3. Find u such that -21 + 2*u**2 + 14 + 16*u - 2*u**3 - y = 0.
-3, 2
Let w(a) = a**3 - 7*a**2 + 6*a + 2. Let y be w(6). Suppose 1 = -y*l + 11. Factor -2*h**3 + 2*h - l + 3 + h**4 + 1.
(h - 1)**3*(h + 1)
Let s(k) be the third derivative of 0 + 1/270*k**5 - 2/27*k**4 + 0*k + 16/27*k**3 - 6*k**2. Find x, given that s(x) = 0.
4
Suppose -16*u = -38*u + 396. Factor 1/3*j**4 + 27 - 4*j**3 - 36*j + u*j**2.
(j - 3)**4/3
Let s be 16/(192/(-36))*-1. What is a in -3/4*a**2 + 3/4*a - 1/4 + 1/4*a**s = 0?
1
Let a be (-3)/4 - (-3)/4. Suppose a = -d + 3*d + 3*d. Let -2/7 + d*h**2 + 2/7*h**4 + 4/7*h - 4/7*h**3 = 0. Calculate h.
-1, 1
Let x be (416/26 - 19)/((-9)/6). Let 0 + 12/5*g**x + 0*g - 21/5*g**4 - 36/5*g**3 = 0. What is g?
-2, 0, 2/7
Let q(o) be the third derivative of 2*o**7/105 - o**6/3 + 8*o**5/15 + 5*o**4/3 - 6*o**3 - 10*o**2 + 6*o. Determine u so that q(u) = 0.
-1, 1, 9
Factor 148*j - 5*j**2 - 283*j + 150*j + 20.
-5*(j - 4)*(j + 1)
Let -19*v**3 - 12*v**2 + 6*v**3 - 2*v**3 + 3*v**5 - 16*v**4 + 13*v**4 + 48*v - 21*v**3 = 0. Calculate v.
-2, 0, 1, 4
Let f = 863 + -4309/5. Let k(v) be the first derivative of -36/5*v**3 + f*v**4 - 2/25*v**5 - 162/5*v + 108/5*v**2 + 3. Find x, given that k(x) = 0.
3
Suppose 1/4*a**4 + 18*a + 15*a**2 + 0 + 7/2*a**3 = 0. Calculate a.
-6, -2, 0
Suppose 7 = -11*l + 40. Let j(p) be the second derivative of 0 - 1/6*p**l + 5*p + 1/48*p**4 + 3/8*p**2. Factor j(x).
(x - 3)*(x - 1)/4
Let x = -21/13 + 199/91. Let r(q) be the first derivative of -2/7*q**4 - 4/35*q**5 + 4/7*q**2 + 12 + 0*q**3 + x*q. Suppose r(n) = 0. Calculate n.
-1, 1
Let a = -8 + 3. Let u(m) = -m - 2. Let z be u(a). Factor -8*k**z + k**3 + 8*k**3.
k**3
Factor 5*t**4 + 145/3*t**2 - 1/3*t**5 + 12 - 40*t - 25*t**3.
-(t - 6)**2*(t - 1)**3/3
Let c be (3*922/6)/(-3). Let r = c - -155. What is w in -2/3*w**2 - r*w + 0 = 0?
-2, 0
Let k = -6640/9 + 738. Let g be (-3)/5 + 335/225. Factor g*j - k*j**2 - 8/9.
-2*(j - 2)**2/9
Determine w, given that 780*w**2 + 5 - 725*w**2 - 41*w + 101*w = 0.
-1, -1/11
Suppose -7*h + 21 = -0*h. Let a(m) be the first derivative of 3 + 0*m**2 + 1/30*m**5 + 0*m - 1/18*m**h + 0*m**4. Suppose a(d) = 0. Calculate d.
-1, 0, 1
Suppose 5*a - 6 = 2*a. Suppose 7*n - 3*n**3 + 6*n - 7*n - 3*n**a = 0. What is n?
-2, 0, 1
Factor -2*l**2 - 16/7 - 4*l - 2/7*l**3.
-2*(l + 1)*(l + 2)*(l + 4)/7
Let c(f) be the third derivative of f**8/20160 + f**7/840 + f**6/80 + f**5/10 + 48*f**2. Let s(u) be the third derivative of c(u). Factor s(d).
(d + 3)**2
Factor 4*b**2 - 11*b - 13*b + b**2 - 3*b**2 + 40.
2*(b - 10)*(b - 2)
Suppose -3*u + 14 = -2*k, -2*k - 5*u + 10 = -4*u. Factor -1/2*m**3 - 1/2*m**k + 3*m + 0.
-m*(m - 2)*(m + 3)/2
Factor -74*q + 3*q**3 - 36*q**2 - 46*q - 44*q - 28*q.
3*q*(q - 16)*(q + 4)
Let u(s) be the first derivative of -s**4/12 - 5*s**3/3 - 9*s**2/2 - 13*s/3 + 352. Factor u(a).
-(a + 1)**2*(a + 13)/3
Let r(t) = t**3 - 2*t**2 - t - 1. Let i(o) = -6*o**3 + 13*o**2 + 5*o + 5. Let x(c) = -i(c) - 5*r(c). Factor x(j).
j**2*(j - 3)
Suppose 811 = 14*k + 153. Suppose -12*w + k - 23 = 0. Determine i so that 36/7*i**w + 6/7 - 12/7*i**3 - 27/7*i = 0.
1/2, 2
Let j(l) = -l**4 + 9*l**3 + l**2 - 6*l + 3. Let v(f) = f**4 - f**3 - f**2 - 1. Let x(t) = -j(t) - 3*v(t). Factor x(m).
-2*m*(m - 1)*(m + 1)*(m + 3)
Factor -1488/7*v**2 + 315*v + 249/7*v**3 + 54/7.
3*(v - 3)**2*(83*v + 2)/7
Let g(k) = -k**3 + 23*k**2 + 25*k - 28. Let f be g(24). Let l be f/(-2) - (-7 - (-13 - -6)). Solve 30/11*z**3 + 0 - 50/11*z**4 + 2/11*z + 18/11*z**l = 0 for z.
-1/5, 0, 1
Factor -2/9*g + 4/9*g**2 + 0 - 4/9*g**4 + 2/9*g**5 + 0*g**3.
2*g*(g - 1)**3*(g + 1)/9
Let w(t) = -t**2 + 10*t - 5. Let n be w(9). Find b such that -4*b**4 + 12*b**2 + n*b**3 - 2*b**2 - 2*b**5 + 2*b**4 + 4*b + 2*b**3 = 0.
-1, 0, 2
Let j(z) be the first derivative of z**4 - 208*z**3/3 - 214*z**2 - 216*z + 55. Find p, given that j(p) = 0.
-1, 54
Let y be -4*1/((-12)/3). Let r be 4 - (3 - (y + 2)). Factor 2*w - 8*w + r*w**2 - 2*w.
4*w*(w - 2)
Let y = 37 - 27. Factor 28*r**4 + 8 - 20*r**3 + 21*r**2 - y*r - 57*r**2 + 30*r.
4*(r - 1)**2*(r + 1)*(7*r + 2)
Let x(l) be the first derivative of 2/27*l**3 + 1/9*l**2 - 1/18*l**4 - 2/9*l + 33. Factor x(i).
-2*(i - 1)**2*(i + 1)/9
Let i(x) = x**3 + 4*x**2 - 6*x - 3. Let d be i(-5). Suppose -7*f**2 + f**2 + 2 - 7*f**d - 11*f = 0. What is f?
-1, 2/13
Let m(v) be the first derivative of -v**4/14 - 16*v**3/7 + v**2/7 + 48*v/7 - 41. What is o in m(o) = 0?
-24, -1, 1
Let p = 14301 + -1744735/122. Let t = p - -4601/244. Factor 15/2*m - t*m**2 - 3/4.
-3*(5*m - 1)**2/4
What is b in 1092/5*b - 147 + 12*b**3 - 414/5*b**2 - 3/5*b**4 = 0?
1, 5, 7
Let t(w) = -7*w**5 - 18*w**4 - w**3 - 13*w. Let j(b) = -4*b**4 - 5*b**4 - 2*b - 14*b**5 + 11*b**5 - 4*b. Let p(n) = -13*j(n) + 6*t(n). Factor p(r).
-3*r**3*(r - 2)*(r - 1)
Let k(p) = -2*p**2 - 40*p - 29. Let g be k(-19). Let w be 8/12 + -9 + g. Find r such that -2/9*r - 4/9 + w*r**2 = 0.
-2/3, 1
Let f(r) be the second derivative of -r**4 - 13*r + 0*r**2 + 3/20*r**5 + 2*r**3 + 0. Factor f(m).
3*m*(m - 2)**2
Let d be (-183)/21 - (-4)/(-14). Let o = d + 13. Let 10*v**3 + 5*v**o - 8*v - 3*v + 11*v = 0. What is v?
-2, 0
Let b(i) be the second derivative of 2*i**6/15 + 31*i**5/5 + 110*i**4 + 2600*i**3/3 + 2000*i**2 + 33*i - 2. Solve b(u) = 0 for u.
-10, -1
Solve 0*l**2 + 0*l**4 + 0 + 0*l + 0*l**3 - 3/5*l**5 = 0 for l.
0
Let v be (-126)/60 + 0 + (-15)/(-5). Let w(k) be the second derivative of 10/3*k**4 + 2*k**2 + v*k**5 + 13/3*k**3 + 7*k + 0. Suppose w(h) = 0. Calculate h.
-1, -2/9
Let j(u) be the third derivative of -u**5