*4 - 10*j**3 + 9*j**2/2 - 50. Suppose n(v) = 0. What is v?
0, 1, 3
Let d = -42 + 45. Suppose -2*i = 3*i - 140. Let -38*x**2 - 42*x**d - 5*x**4 - 4*x**4 - 31*x**2 - i*x - 12 - 20*x = 0. Calculate x.
-2, -1, -2/3
Let m be -2*18/(4 - 6). Let t be (3*(-2)/8)/(m/(-12)). Factor 3/4*s**2 - 1/4*s - 1/4*s**4 + 1/4*s**3 - t.
-(s - 2)*(s - 1)*(s + 1)**2/4
Let y(g) be the first derivative of g**6/15 + 2*g**5/25 - 3*g**4/10 - 2*g**3/15 + 2*g**2/5 - 91. What is o in y(o) = 0?
-2, -1, 0, 1
Let v(d) = -2*d**2 - 26*d. Let o(u) = -u. Let q(a) = 4*o(a) + v(a). Let c(g) = -g + 1. Let t(p) = 36*c(p) - 2*q(p). Let t(w) = 0. What is w?
-3
Factor -36*o**3 + 3*o + 40 - 111*o + 100*o**2 + 44819*o**4 - 44815*o**4.
4*(o - 5)*(o - 2)*(o - 1)**2
Let l(f) = -4*f**2 + 22*f - 118. Let y(d) = 5*d**2 - 22*d + 117. Let x(r) = -4*l(r) - 3*y(r). Factor x(g).
(g - 11)**2
Suppose 1 = -108*n + 107*n. Let g(v) = -4*v**4 + 5*v**3 + 3*v**2 - 5*v + 1. Let r(c) = -c**3 + c**2 + c - 1. Let o(w) = n*r(w) - g(w). Solve o(s) = 0.
-1, 0, 1
Let l be 12/18 - (1 + 15/(-9)). Let x(b) be the second derivative of -4*b + 1/15*b**6 + 0 + b**2 - l*b**3 - 2/5*b**5 + b**4. Factor x(y).
2*(y - 1)**4
Let g be (2 - 5)*(2 - 3). Suppose 0 = o - 1 - g. Let 3*t**4 - 4*t**3 - 2*t**2 - 5*t**o + 0*t**3 = 0. What is t?
-1, 0
Suppose 2*d - b = 5, d + 1 = 2*d - 2*b. Suppose 4*s + s - 165 = 0. Factor 8 - 2 + 9*z**4 + 27*z - 29*z**2 + s*z**d + 74*z**2.
3*(z + 1)**3*(3*z + 2)
Let i be -48*(5 + (-12)/4). Let r be 6/(-4)*(i/18 + 4). Solve f - 1/2*f**r + 0 = 0 for f.
0, 2
Let d(f) be the second derivative of 0 - 1/105*f**5 + 7*f + 0*f**3 + 0*f**4 + f**2. Let o(c) be the first derivative of d(c). Let o(i) = 0. What is i?
0
Let d(p) be the second derivative of p**8/16800 - p**7/3150 + p**6/1800 + 11*p**4/12 - 10*p. Let y(i) be the third derivative of d(i). Factor y(s).
2*s*(s - 1)**2/5
Let o(x) be the third derivative of x**8/224 + x**7/60 - x**5/30 - 52*x**2. Let o(r) = 0. Calculate r.
-2, -1, 0, 2/3
Suppose 0 = 3*p + 2*m - 1 - 17, 0 = -p - 2*m + 10. Let s(r) = r - 2. Let w be s(p). Factor 0*n - 2/5*n**w + 8/5.
-2*(n - 2)*(n + 2)/5
Let t be -12*(1/3)/((-3)/6). Factor -5*b**2 - 8*b - t*b**2 - 4 + 9*b**2.
-4*(b + 1)**2
Let a(x) = -2*x. Let c be a(0). Suppose 4*g - 5 - 11 = c. Factor 7*w**5 + 3*w**4 + 11*w**3 + 13*w**g + 2*w**2 + 0*w**2.
w**2*(w + 1)**2*(7*w + 2)
Let v(d) = d**2 - 6*d + 8. Let x be v(5). Factor 5*s - 3*s - 3*s**x + 0*s**3 + s.
-3*s*(s - 1)*(s + 1)
Let j(r) be the first derivative of -1/4*r**2 + r - 1/6*r**3 - 16. Solve j(u) = 0.
-2, 1
Let 2/17*f**3 + 0 + 0*f + 36/17*f**2 = 0. What is f?
-18, 0
Let x = -77 - -79. Suppose 5*i**3 - 3*i**2 - 4*i**3 + 0*i**3 + 5*i**x = 0. Calculate i.
-2, 0
Let v be (1 + 1)/(8/(-28)). Let i be v/(-4) + 1/4. Factor n**4 + 4*n**i - 8*n**2 + 3*n**2.
n**2*(n - 1)*(n + 1)
Factor 66/5*b**2 + 2/5 - 4*b - 16*b**3 + 32/5*b**4.
2*(b - 1)**2*(4*b - 1)**2/5
Let b be 0/(1 + -3 + 3). Suppose b*y - 4*y = -12. Factor -v + 22*v**2 - 5 - 3 + 31*v**y - 50*v**4 + 29*v**3 - 23*v.
-2*(v - 1)**2*(5*v + 2)**2
Let l(b) = -b**4 - 39*b**3 - 25*b**2 - 7*b - 7. Let c(k) = k**4 + 19*k**3 + 13*k**2 + 3*k + 3. Let j(s) = 7*c(s) + 3*l(s). What is f in j(f) = 0?
-2, 0
Let y(q) = -22*q**3 - 26*q**2 - 10*q. Let w(p) = -109*p**3 - 29 + 20*p**2 + 29 - 149*p**2 - 51*p. Let k(v) = 2*w(v) - 11*y(v). Factor k(j).
4*j*(2*j + 1)*(3*j + 2)
Let t(s) be the first derivative of -2*s**6/9 + 8*s**5/15 - 8*s**3/9 + 2*s**2/3 + 599. Factor t(p).
-4*p*(p - 1)**3*(p + 1)/3
Let q be 92/(-380) - (-16)/40. Let c = 37/114 - q. Let 1/6*t**4 - c*t**2 + 0 + 1/6*t**3 - 1/6*t = 0. What is t?
-1, 0, 1
Suppose 8 = x - 4*q, 24*q = 4*x + 21*q - 19. Let 10/9*z**x + 4/9*z + 0 - 2*z**3 - 10/9*z**2 + 14/9*z**5 = 0. What is z?
-1, 0, 2/7, 1
Suppose 0 = 17*b - 18*b + 4. What is y in -19*y**2 - 53*y**2 + 153*y**3 + 45*y**4 + 45*y**5 + 12*y - 99*y**b - 84*y**4 = 0?
0, 2/5, 2/3, 1
Let z(y) be the first derivative of 1/4*y - 3/4*y**3 - 1/8*y**2 - 1/5*y**5 + 13 - 11/16*y**4. Let z(j) = 0. Calculate j.
-1, 1/4
Let v(w) = -5 + 0*w - 3 - 6 + 2*w. Let l be v(8). Find n, given that 0 + 0*n - 3/2*n**3 + 1/2*n**l = 0.
0, 1/3
Suppose 60*p - 42*p - 13*p + 5*p**2 = 0. What is p?
-1, 0
Let w(o) be the second derivative of 34*o + 1/24*o**4 + 0 - 3/4*o**3 + 2*o**2. What is d in w(d) = 0?
1, 8
Let w(z) = -z - 3. Let x(r) = -20*r - 120. Let k(t) = -44*w(t) + 2*x(t). Let d be k(27). Factor 0*y**3 - 3/2*y**4 + 0*y**2 + d*y + 0 + 3/2*y**5.
3*y**4*(y - 1)/2
Find p, given that 0 + 394/9*p**2 - 130/3*p**3 - 44/3*p + 14*p**4 + 2/9*p**5 = 0.
-66, 0, 1
Let v(l) be the third derivative of -l**5/12 - 55*l**4/24 + 3*l**2 - 7*l. Factor v(w).
-5*w*(w + 11)
Suppose -2*l = 3*c - 10, -l - 177*c = -179*c + 2. Find p, given that 0 - p + 1/2*p**l = 0.
0, 2
Suppose 0 = -19*w + 51*w. Let h(r) be the third derivative of -1/5*r**3 - 1/100*r**5 - 3/40*r**4 + w + 0*r - 2*r**2. Find d such that h(d) = 0.
-2, -1
Let h = -14 - -20. Solve -17*n - n + h + 12*n**2 - 9*n = 0.
1/4, 2
Let o(x) be the third derivative of 30*x**2 - 5/3*x**3 + 0*x + 5/24*x**4 + 0 + 1/12*x**5. Let o(k) = 0. Calculate k.
-2, 1
Let h(z) be the second derivative of -3*z**6/2 - 21*z**5/5 - 11*z**4/4 + z**3 - 71*z. Factor h(f).
-3*f*(f + 1)**2*(15*f - 2)
Factor 117*y**2 - 109*y**2 - 4*y**4 + 11*y**3 - 20*y - 16 + 2*y**4 + 0*y**4 - y**5.
-(y - 2)**2*(y + 1)**2*(y + 4)
Determine z, given that 90*z + 190*z**2 + 0*z**3 - 278*z + 3*z**3 + z**3 - 6*z**3 = 0.
0, 1, 94
Suppose -4*y - 1 = -18 + 9. Suppose 2/7*z**3 + 12/7*z + 2*z**y + 0 = 0. Calculate z.
-6, -1, 0
Suppose 15*u = -12*u + 809 - 755. Find a, given that 0 + 0*a + a**4 + 1/3*a**u - 1/3*a**5 - a**3 = 0.
0, 1
Let g be (6/(-8))/((-18)/12). Let u(x) be the second derivative of -g*x**4 + 3*x**2 - 3/20*x**5 + 1/2*x**3 + 0 - 3*x. Factor u(l).
-3*(l - 1)*(l + 1)*(l + 2)
Let s(n) be the second derivative of -5*n**4/12 - 100*n**3/3 - 1000*n**2 - 2*n + 7. Let s(a) = 0. Calculate a.
-20
Let h(a) be the second derivative of a**4/15 - 23*a**3/2 + 43*a**2/5 - 6*a - 1. Factor h(i).
(i - 86)*(4*i - 1)/5
Let o(s) be the first derivative of 2*s**3/3 - 4*s**2 + 8*s + 51. Solve o(z) = 0 for z.
2
Determine y, given that -5/7*y - 1/7*y**2 + 0 = 0.
-5, 0
Suppose -5*l + 3*l = r + 11, 2*l + 8 = 2*r. Let u = -3 - l. Factor n**3 + 4 + 0*n**2 - 2*n**u + 7*n**2 + 8*n.
(n + 1)*(n + 2)**2
Solve -1238/13*v**3 - 2/13*v**5 - 2992/13*v + 94/13*v**4 + 968/13 + 3170/13*v**2 = 0.
1, 22
Let b(w) be the second derivative of 3*w**5/4 - 35*w**4/12 - 15*w**3 - 20*w**2 + 17*w. Let b(s) = 0. What is s?
-1, -2/3, 4
Let l(b) be the third derivative of 0*b**5 + 1/4*b**4 + 0 - 1/20*b**6 + 1/70*b**7 + 7*b**2 - 1/2*b**3 + 0*b. Factor l(s).
3*(s - 1)**3*(s + 1)
Let s = 96 - 97. Let v be (s/((-15)/(-20)))/(-2). What is h in -v*h**2 + 2/3*h**3 - 2/3*h**5 + 2/3*h**4 + 0*h + 0 = 0?
-1, 0, 1
Let d(y) be the second derivative of y**7/21 + 16*y**6/105 + 2*y**5/35 + 227*y - 2. Factor d(h).
2*h**3*(h + 2)*(7*h + 2)/7
Let p = 1618 - 1618. Determine r, given that -r**4 + p + 0*r + r**2 + 1/3*r**5 - 1/3*r**3 = 0.
-1, 0, 1, 3
Let c = 5 + 6. Let u = 9 - c. Let l(j) = 20*j**3 - 2*j**2 - 18*j + 6. Let r(s) = s**3 + s**2 + 1. Let w(v) = u*r(v) + l(v). Factor w(p).
2*(p - 1)*(p + 1)*(9*p - 2)
Let w(c) = 4*c**2 + 2*c - 1. Let d(z) = z - 5. Let u be d(6). Let b be w(u). Find p such that -b*p - 2 - 4*p**2 - 7*p - 10 + p**2 = 0.
-2
Suppose 5*y = 5*u - 105, -3*u + 15*y = 16*y - 43. Let f(x) = -x**3 + 16*x**2 + 2. Let r be f(u). Factor 1/6*h**3 + 7/6*h - 1/2 - 5/6*h**r.
(h - 3)*(h - 1)**2/6
Let p(s) be the second derivative of 0*s**4 + 1/10*s**6 - 20*s + 0*s**3 + 3/10*s**5 + 0*s**2 + 0. Factor p(m).
3*m**3*(m + 2)
Factor -38988/5 - 3/5*u**2 + 684/5*u.
-3*(u - 114)**2/5
Let q(c) be the third derivative of 1/54*c**5 + 0 - 38*c**2 + 0*c**3 - 1/54*c**4 + 0*c + 1/180*c**6. Find h, given that q(h) = 0.
-2, 0, 1/3
Let q = 2/243 + 1193/2673. Let a = 43/22 - q. Factor 0 - a*w + 3/2*w**2.
3*w*(w - 1)/2
Let v = -6180/11 - -562. Suppose -v*y**2 + 0 - 12/11*y = 0. What is y?
-6, 0
Let y be 96/(-80)*(-5)/3. Let m be (0 - y) + ((-96)/21)/(-2). Factor 2/7*k + 0 - m*k**2.
-2*k*(k - 1)/7
Determine v so that -30 + 76*v - 12*v**2 - 32*v**2 - 9*v**3 + 13*v**3 - 6 = 0.
1, 9
Let m be 0/1 + (-28)/343*-21. Factor -72/7*h**2 + 0 + 21*h**4 + 9*h**3 + m*h.
3*h*(h + 1)*(7*h - 2)**