 11 = 0. What is s?
-4, -1, 0, 1
Suppose -2*c + 5*c = 6. Let v be (9/5)/(4 - 185/50). Factor v + 0 - 10*z**c - 1 + 5*z**4.
5*(z - 1)**2*(z + 1)**2
Let a(v) be the third derivative of v**5/90 + 31*v**4/36 + 58*v**3/9 - v**2 - 891*v. Factor a(s).
2*(s + 2)*(s + 29)/3
Suppose 0 = 1727*n - 1718*n - z - 7, 2*n + z = 15. Let -5/2*j - 1/6*j**3 + 7/6*j**n + 3/2 = 0. Calculate j.
1, 3
Let o(f) = f**3 + 14*f**2 + 30*f - 23. Let r be o(-11). Let v be (-18)/90 - ((-32)/r)/1. Let -1/3*m**v + 0*m + 0 - 1/3*m**4 + 2/3*m**2 = 0. What is m?
-2, 0, 1
Let f(n) be the first derivative of 202 + 0*n - 13/11*n**2 - 2/33*n**3. Let f(t) = 0. Calculate t.
-13, 0
Let l(f) be the first derivative of -36*f**2 + 27/5*f**5 - 7 + 3/2*f**4 - 27*f**3 - 12*f. Factor l(i).
3*(i - 2)*(i + 1)**2*(9*i + 2)
Let w(i) = -6*i**3 - 40*i**2 + 46*i + 15. Suppose 3*a = 28*a + 100. Let j(r) = 5*r**3 + 41*r**2 - 46*r - 12. Let q(c) = a*w(c) - 5*j(c). Factor q(m).
-m*(m - 1)*(m + 46)
Let f(w) be the second derivative of -w**8/23520 - w**7/98 - 15*w**6/14 - 450*w**5/7 + w**4/12 - 54*w. Let r(p) be the third derivative of f(p). Factor r(v).
-2*(v + 30)**3/7
Let q(x) = 3*x**2 - 7*x - 26. Let h be q(-8). Let b = -222 + h. Factor 4/5*o**4 + 0 + 4/5*o**5 + b*o**3 + 0*o + 0*o**2.
4*o**4*(o + 1)/5
Let k = -105 + 109. Find j such that -119*j**2 - 2420 + 14*j**4 - 4620*j - 57*j**4 + 38*j**k + 210*j**3 - 1866*j**2 = 0.
-1, 22
Let a(o) = o**3 + 10*o**2 + 4. Let f(x) = x + 6. Let m be f(-16). Let s be a(m). Factor -s*u**2 - 2 - 3*u**2 + 3*u**2 + 6*u**2.
2*(u - 1)*(u + 1)
Let y = 17347/18 - 1927/2. Let i(f) be the first derivative of -4/3*f**2 + 8/3*f + y*f**3 + 2. Factor i(l).
2*(l - 2)**2/3
Solve 0 + 1/4*z**5 + 3/4*z**4 - 22*z**3 + 0*z + 0*z**2 = 0 for z.
-11, 0, 8
Let p be ((-40)/24 - -4) + 2 + (-3 - 0). Let g(a) be the first derivative of -p*a + 1/9*a**3 + 0*a**2 + 26. Suppose g(f) = 0. What is f?
-2, 2
Let z(r) = -19*r - 283. Let m be z(-15). Let u be -4*m/(-28) + 931/343. Factor 7/2*s + 1/2*s**2 + u.
(s + 1)*(s + 6)/2
Let r(l) = 3*l**2 + 24*l + 80. Let h(i) = i**2 + 4*i - 1. Let w(s) = -20*h(s) + 5*r(s). Determine z so that w(z) = 0.
-6, 14
Let j(r) be the second derivative of r**5/40 + r**4/24 - 13*r**3 + r - 345. Factor j(t).
t*(t - 12)*(t + 13)/2
Let v(m) be the second derivative of m**6/900 - m**5/450 + m**2/2 - 4*m - 2. Let q(p) be the first derivative of v(p). Suppose q(c) = 0. Calculate c.
0, 1
Let m(a) be the second derivative of -a**5/110 - 5*a**4/6 + 113*a**3/33 - 57*a**2/11 + 2375*a. Factor m(h).
-2*(h - 1)**2*(h + 57)/11
Let f = -3/7693 + 30805/84623. Determine c so that 2/11*c**2 + 6/11*c - 6/11*c**3 - f + 2/11*c**4 = 0.
-1, 1, 2
Suppose 349*b**3 + 160*b - 38*b**3 + 85*b**3 + 48*b**3 + 8 + 834*b**2 - 66*b**3 = 0. Calculate b.
-2, -1/9, -2/21
Let s(t) be the second derivative of -7*t**6/30 + 3*t**5/2 - 43*t**4/12 + 4*t**3 - 2*t**2 - 318*t + 2. Factor s(u).
-(u - 2)*(u - 1)**2*(7*u - 2)
Suppose -6*b - 856 = -868. Determine h so that 1707*h**b - 1707*h**2 + 4*h**5 + 12*h**4 = 0.
-3, 0
Let t be -2*((-20)/12)/(-1)*-3. Factor 3*f**2 + 0*f - 4*f**3 + 2*f**2 + t*f - f**3.
-5*f*(f - 2)*(f + 1)
Suppose h = -3*y + 16, 2*y - 34 = -3*y - 9*h. Determine w so that -80*w + 2*w**2 + 92*w + y - 2 + 17 - w**2 = 0.
-10, -2
Let f(q) = 29*q**2 + 2305*q + 2367. Let c(u) = 2*u**2 + u + 6. Let w(v) = 13*c(v) - f(v). Solve w(s) = 0.
-763, -1
Let i(j) be the second derivative of 540*j**7/7 - 1572*j**6/5 + 3777*j**5/10 + 41*j**4/3 - 665*j**3/3 - 98*j**2 + 1525*j. What is b in i(b) = 0?
-2/9, -1/5, 1, 7/6
Let p(b) = 13*b**2 - 23*b + 29. Suppose 3*d - 18 = -k - 6, -3*k + 8 = -5*d. Let a(y) = -7*y**2 + 12*y - 15. Let w(x) = k*p(x) + 11*a(x). Factor w(u).
(u - 3)**2
Let w be ((-40)/(-80))/((-6)/88). Let q = w + 248/33. Factor 10/11*y + 8/11*y**2 + 4/11 + q*y**3.
2*(y + 1)**2*(y + 2)/11
Suppose f + 6 = 2*a + 26, 3*a - 4*f + 40 = 0. Let j be 1*53 + 10 + a. What is z in -3*z + 15*z + 0 + j*z**3 - 8 - 59*z**3 = 0?
-2, 1
Factor 3/4*a**4 + 81/4*a**2 + 0*a + 0 - 21*a**3.
3*a**2*(a - 27)*(a - 1)/4
Suppose 0 = -x - 5*j + 68, 2*x + 0*j + 2*j - 104 = 0. Let g be (-14)/30*x/(-56). Determine o, given that g*o**3 - 1/5 + 1/5*o**4 - 2/5*o + 0*o**2 = 0.
-1, 1
Suppose 0*t - 4*t + 204 = 4*n, -t + 5*n + 69 = 0. Let r be 33/t - (-23)/(-207). Determine a so that -1/2*a**3 - r*a**2 + a + 0 = 0.
-2, 0, 1
Let f(j) be the first derivative of 5/4*j**4 - 4*j - 4*j**2 - 2/5*j**5 - 87 + j**3. Suppose f(b) = 0. What is b?
-1, -1/2, 2
Let n(b) be the third derivative of -1/48*b**6 + 0*b + 0*b**3 + 11/24*b**4 - 4*b**2 + 53/120*b**5 - 14. Factor n(a).
-a*(a - 11)*(5*a + 2)/2
Let r(h) be the second derivative of -h**5/40 + 37*h**4/12 - 2*h + 409. Factor r(z).
-z**2*(z - 74)/2
Factor 1471*o**2 - 1195*o + 84 - 319 - 2969*o**2 - 107 + 1505*o**2.
(o - 171)*(7*o + 2)
Suppose 5*h = -0*h + 21*h + 22*h. Solve 3/2*q**4 + 0*q**2 + 0*q + h + 3*q**3 = 0 for q.
-2, 0
Let s be (-4)/(-34) + (-7194)/(-1853). Let i(b) be the third derivative of -9*b**2 + 0*b + 1/4*b**s + 1/3*b**3 + 1/15*b**5 + 0. Let i(g) = 0. Calculate g.
-1, -1/2
Let k = -32 - -91. Factor 1728 + 66*g**3 + 237*g**2 + 1584*g + 270*g**2 + 62*g**4 - k*g**4.
3*(g + 3)**2*(g + 8)**2
Suppose -6*z + 4 = -14. Solve -36*r**z - 23*r**3 + 60*r**3 - 24*r**3 - r**4 = 0.
-23, 0
Factor -15/8 - 3*y - 9/8*y**2.
-3*(y + 1)*(3*y + 5)/8
Determine o, given that -o**5 - 6*o**5 - 6*o**3 + 21*o**5 - o**5 + 22*o**4 - 5*o**5 = 0.
-3, 0, 1/4
Let y be (-34 + 23 + 11)*-1. Factor 0 + 2/7*k**4 - 12/7*k**3 + 64/7*k + y*k**2.
2*k*(k - 4)**2*(k + 2)/7
Suppose 0 + 0*t - 12/5*t**4 + 111/5*t**2 + 441/5*t**3 = 0. What is t?
-1/4, 0, 37
Let j(d) be the third derivative of -d**6/60 - d**5/10 + 3*d**4/4 + 9*d**3 + 335*d**2. Factor j(q).
-2*(q - 3)*(q + 3)**2
Suppose 22 = 250*k - 239*k. Let r(c) be the first derivative of 1/12*c**3 - 7 - 1/8*c**k + 0*c. Factor r(n).
n*(n - 1)/4
Factor -5013*g**3 + 15524*g**3 - 4879*g**3 - 5206*g**3 + 423*g**2 + 3*g**4.
3*g**2*(g + 1)*(g + 141)
Let z = 26 - 17. Let x(d) be the first derivative of 14*d**3 - z*d**3 - 6*d**2 - 6*d**3 - 12. Factor x(p).
-3*p*(p + 4)
Let m(y) be the first derivative of -11*y**6/6 + 2*y**5/5 + 55*y**4/4 - 10*y**3/3 - 22*y**2 + 8*y + 1119. Let m(k) = 0. Calculate k.
-2, -1, 2/11, 1, 2
Let y(t) = -3*t**2 - 88*t + 39494. Let o be y(101). Let 5/2*u**4 + 0 - 5/2*u**3 + o*u - 5/2*u**2 - 1/2*u**5 = 0. Calculate u.
-1, 0, 1, 2, 3
Let m be (0 - 3)/(-5 + (-3984)/(-796)). Let w = 599 + m. Suppose 8 + 4/9*d**3 - 16/9*d**w - 4/3*d = 0. Calculate d.
-2, 3
Let j(m) = -m**3 + 55*m**2 + 53*m + 164. Let l be j(56). Let g(w) = -40*w - 158. Let f be g(l). Factor -1/6 - 5/6*i - 5/6*i**4 - 5/3*i**f - 1/6*i**5 - 5/3*i**3.
-(i + 1)**5/6
Let m(x) be the third derivative of 23/35*x**7 - 1/6*x**5 + 0 + 4/9*x**3 - 9/56*x**8 + 2/3*x**4 - 139/180*x**6 - 2*x - 48*x**2. Factor m(o).
-2*(o - 1)**3*(9*o + 2)**2/3
Let c be 34/24 - (-6)/(-9). Let u be 0*(0 + -6)*(-20 + 952/48). Factor 0 - c*m**2 + u*m.
-3*m**2/4
Let u(l) be the second derivative of 7*l**6/360 + l**5/12 - l**4/3 + 17*l**3/6 + 2*l - 45. Let p(k) be the second derivative of u(k). Factor p(r).
(r + 2)*(7*r - 4)
Let q(y) be the first derivative of -y**3/3 + 11*y**2/2 + 14*y + 4. Let g be q(12). Factor r**3 + 5*r + 4*r**3 - g - 7*r + 2*r**2 - 3*r**3.
2*(r - 1)*(r + 1)**2
Let j(n) be the first derivative of -2*n**3 + 15/2*n**2 - 3/5*n**5 + 27 - 9/2*n**4 + 9*n + 1/2*n**6. Determine k, given that j(k) = 0.
-1, 1, 3
Let l = -692 - -20761/30. Let v(o) be the second derivative of 0 + 0*o**2 - 1/30*o**4 + l*o**3 - o + 1/100*o**5. Find d such that v(d) = 0.
0, 1
Let y(a) be the first derivative of a**6/27 - 2*a**5/45 - 35*a**4/18 + 250*a**3/27 - 146*a**2/9 + 112*a/9 - 2841. Suppose y(q) = 0. Calculate q.
-7, 1, 2, 4
Let a(v) be the third derivative of -1/90*v**6 + 0*v**4 + 7/90*v**5 + 1/2205*v**7 + 0*v**3 + 5 + 0*v - 3*v**2. Factor a(z).
2*z**2*(z - 7)**2/21
Let r(b) = b + 26. Let x be r(-24). Factor -15*o**x + 3*o**4 - 9*o**4 + o**4 + 20*o**3.
-5*o**2*(o - 3)*(o - 1)
Let v = -297169/2 - -148586. Find u such that -v*u**2 - 12*u - 18 = 0.
-6, -2
Let t = 4263 - 4259. Let f(h) be the second derivative of 2*h**3 - 20*h**2 + 1/5*h**5 + 33*h + 2*h**t + 0. Find s such that f(s) = 0.
-5, -2, 1
Let c be ((-27)/63)/((-12)/19004). Let a = c - 677. Determine s so that -36