 0. What is a?
-74, 9
Let l(b) be the third derivative of -b**10/226800 - b**9/11340 - b**8/4320 + 79*b**5/60 - 17*b**2. Let z(w) be the third derivative of l(w). Factor z(x).
-2*x**2*(x + 1)*(x + 7)/3
Let h be (1025/115 - 9)/((-19)/437). What is x in 0*x**h + 0*x**3 + 0 + 4/5*x**4 + 2/5*x**5 + 0*x = 0?
-2, 0
Let j(o) be the second derivative of -o**5/20 + 31*o**4/12 - 29*o**3/3 + 327*o. What is n in j(n) = 0?
0, 2, 29
Let l(b) be the third derivative of b**7/1120 - b**5/10 - 31*b**3/6 + 126*b**2 + 1. Let n(d) be the first derivative of l(d). Suppose n(i) = 0. Calculate i.
-4, 0, 4
Let g(a) be the third derivative of a**5/60 - 11*a**4/6 + 43*a**3/6 + 43*a**2 + 14*a. Factor g(x).
(x - 43)*(x - 1)
Determine q, given that -184/3*q + 5/3*q**3 - 35*q**2 - 28 + 3*q**4 - 1/3*q**5 = 0.
-2, -1, 6, 7
Let q(n) be the third derivative of n**8/4032 - n**7/1008 - n**6/12 - n**5/30 - n**4/12 - 56*n**2. Let c(j) be the third derivative of q(j). Factor c(x).
5*(x - 4)*(x + 3)
Let b = -196202 + 196206. Let 9/5*m**2 + 7/5*m**b + 3*m**3 + 1/5*m**5 + 0*m + 0 = 0. What is m?
-3, -1, 0
Suppose -4*m + 0*s - 390 = -3*s, -2*m - 182 = 5*s. Let o = -94 - m. Let -52/3*r + 338/3 + 2/3*r**o = 0. Calculate r.
13
Let n be (-77)/(-20) - 111/(-740). Let s(l) be the first derivative of 2/3*l**6 - 5*l**n - 16*l + 13 - 4/3*l**3 + 16*l**2 + 4/5*l**5. Factor s(x).
4*(x - 1)**3*(x + 2)**2
Suppose 0 = -20*c + 250 + 30. Factor -52*p + 136*p + 12*p**2 - 18 + c - 3*p**3 + 0*p**3 + 100.
-3*(p - 8)*(p + 2)**2
Solve -5*k**3 + 4589 + 10*k**2 - 8830 + 145*k + 4451 = 0 for k.
-3, -2, 7
Let u = -1436192 + 15821176/11. Solve 2/11*n**3 - 372/11*n**2 + u*n - 476656/11 = 0 for n.
62
Let s(i) be the first derivative of -i**6/3 + 3*i**5/10 + 41*i**4/8 + 7*i**3 + 2*i**2 + 1384. Determine q, given that s(q) = 0.
-2, -1, -1/4, 0, 4
Let g(d) be the second derivative of -3*d**5/100 - d**4/4 + 4*d**3/5 + 72*d**2/5 - 13*d + 4. Find a, given that g(a) = 0.
-4, 3
Let z = -17917/20 - -896. Let r(a) be the first derivative of -1/16*a**6 + 1/4*a**3 + 0*a**2 + 3/32*a**4 + 0*a - z*a**5 - 26. Solve r(b) = 0 for b.
-2, -1, 0, 1
Let k(a) be the second derivative of 189*a + 0 - 13/7*a**2 - 10/63*a**3 + 1/126*a**4. Solve k(h) = 0 for h.
-3, 13
Let w(j) be the second derivative of -j**6/80 + j**5/5 - 15*j**4/16 - 135*j**2/2 - 14*j + 4. Let c(t) be the first derivative of w(t). Factor c(q).
-3*q*(q - 5)*(q - 3)/2
Let h(a) be the first derivative of a**4/10 + 22*a**3/15 - 16*a**2/5 - 68*a + 89. Let s(v) be the first derivative of h(v). Factor s(j).
2*(j + 8)*(3*j - 2)/5
Determine p so that 133/2*p - 14*p**2 - 158/3 + 1/6*p**3 = 0.
1, 4, 79
Let y(h) = -3*h + 11. Let c be y(3). Suppose 14 = 9*g - c*g. Factor u**2 + 18*u - 20*u - 3 + 0*u**g.
(u - 3)*(u + 1)
Let r(s) be the second derivative of -s**5/100 - 11*s**4/12 - 34*s**3/5 + 29*s - 51. Determine c, given that r(c) = 0.
-51, -4, 0
Suppose -114 = -623*m + 620*m. Let i be ((-3)/(-6))/((-1)/(-20)). Find u such that -4*u + i*u + 14*u**3 - 8 - u + m*u**2 + 11*u = 0.
-2, -1, 2/7
Let t be ((-8)/(-10)*6)/((-25)/(-125)). Let d(i) = i**2 - 23*i - 22. Let n be d(t). Suppose 5*g - 5*g**3 + 2201*g**n - 2201*g**2 = 0. Calculate g.
-1, 0, 1
Let i(d) be the third derivative of d**6/120 + 733*d**5/60 + 5612*d**4 + 22326*d**3 + 14*d**2 - 7*d. Factor i(n).
(n + 1)*(n + 366)**2
Let p be 71/6 + ((-515)/(-30) - 17) + -7. Let u(v) be the third derivative of 1/12*v**p + 0 + 2/3*v**3 - 1/2*v**4 + 0*v + 19*v**2. Solve u(q) = 0 for q.
2/5, 2
Let y be 81/18*40/352*(-176)/(-99). Suppose -114/11*s**3 - 76/11*s**2 - 16/11*s - 64/11*s**4 + 0 - y*s**5 = 0. What is s?
-4, -1, -2/5, 0
Factor -12 - 85/3*r - 1/3*r**4 - 21*r**2 - 5*r**3.
-(r + 1)**2*(r + 4)*(r + 9)/3
Let n(m) be the first derivative of 2*m**5/35 + 61*m**4/14 + 40*m**3/7 - 3075. Factor n(s).
2*s**2*(s + 1)*(s + 60)/7
Let z(v) be the third derivative of -1/48*v**4 - 55*v**2 + 1/18*v**3 + 0*v + 1/360*v**5 + 0. Factor z(h).
(h - 2)*(h - 1)/6
Let -137*l - 1010 + 3*l**2 + 27*l - 378*l - 7*l + 2*l**2 = 0. What is l?
-2, 101
Let -574*g**4 + 372*g**3 - 83 - 107 + 4833*g**2 - 378*g + 6*g**5 - 4069*g**2 = 0. What is g?
-1, -1/3, 1, 95
Determine c so that -2697*c**2 + 16030*c**3 - 838*c**2 - 795*c**2 - 215*c**2 + 11*c - 21*c = 0.
-1/458, 0, 2/7
Factor 231 + 666*z + 2*z**3 - 1631 - 76*z**2 - 56*z.
2*(z - 28)*(z - 5)**2
Let s(q) be the first derivative of 0*q - 9*q**2 - 5*q**3 + 3/4*q**4 - 106. Let s(c) = 0. Calculate c.
-1, 0, 6
Factor 69 + 125*j**2 - 371*j**2 + 112*j**2 + 28*j + 3 + 130*j**2.
-4*(j - 9)*(j + 2)
Factor 0*w**2 - 104*w**4 - 4/3*w**5 + 316/3*w**3 + 0 + 0*w.
-4*w**3*(w - 1)*(w + 79)/3
Let n be (-2 + 8 - 7)*-12. Determine r so that -426 - n*r**5 - 16*r**4 + 426 + 24*r**3 - 8*r**3 = 0.
-2, 0, 2/3
Let l be ((-20025)/(-81))/25 - 5. Let l*n**3 - 8/9 - 10/9*n**4 - 22/3*n**2 + 40/9*n = 0. Calculate n.
2/5, 1, 2
Let i(s) = -5*s - 45. Let k be i(-9). Suppose -11*b + 15*b = k. Let -9/4*o**2 - 1/4*o**4 + 0*o + 3/2*o**3 + b = 0. What is o?
0, 3
Suppose -15*i + 5*i + 170 = 0. Suppose 45 = i*z - 2*z. Factor 0*c**2 - 2/5*c + 0 + 2/5*c**z.
2*c*(c - 1)*(c + 1)/5
Suppose 165*z = 167*z - 4*y + 8, -2*y = 0. Let f be z/(132/(-11) + 11). Factor -6*u**f - 236/3*u**2 - 6 + 40*u**3 + 40*u.
-2*(u - 3)**2*(3*u - 1)**2/3
Suppose 2*s - s + 4*p = 9, -2*s = 3*p - 13. Let b be ((-1)/(-40)*s)/(5/30). Factor 3/4*m**3 - b*m - 9/4*m**2 + 9/4.
3*(m - 3)*(m - 1)*(m + 1)/4
Let h(j) be the third derivative of 16 - 1/600*j**6 + 11/300*j**5 - j**2 + 0*j**3 + 0*j**4 + 0*j. Factor h(p).
-p**2*(p - 11)/5
Let x(q) be the first derivative of -2*q**3/3 + 10*q**2 - 792. What is g in x(g) = 0?
0, 10
Let n = 306889/35412 - -5/11804. Determine u so that -19/3*u + 1/3*u**5 - 14/3*u**3 - 5/3 - 1/3*u**4 - n*u**2 = 0.
-1, 5
Let -2/5*k**5 - 28/5*k**4 + 156/5 + 208/5*k**2 + 70*k - 12/5*k**3 = 0. What is k?
-13, -2, -1, 3
Suppose 0 = -5*f + 15, -4*n = -5*f - 1420 - 425. Let i = 467 - n. Suppose w**i - 4/3 - 1/3*w**3 + 0*w = 0. Calculate w.
-1, 2
Let t(x) be the third derivative of x - 1/11*x**3 - 1/330*x**5 + 0 + 1/33*x**4 - 35*x**2. Solve t(o) = 0.
1, 3
Let u(a) = -a**2 - 32*a - 74. Let i be u(-29). Factor i*m**3 - 63*m**3 + 52*m**3 - 2*m**4.
-2*m**3*(m - 1)
Suppose 889*x - 966*x - 1 + 1 - x**2 = 0. What is x?
-77, 0
Suppose 4*x = 48 + 68. Let g = x - 25. Factor -13*o + o - 12*o**4 + 14*o**2 - 2*o**g + 8*o + 4*o**3.
-2*o*(o - 1)*(o + 1)*(7*o - 2)
Let r = 178 + -170. Solve -z**5 + 3*z - 4*z**4 + 4*z**2 + r*z**3 + 67*z**3 - 77*z**3 = 0 for z.
-3, -1, 0, 1
Factor 172 - 2434*r - 48 + 6*r**2 + 2244*r.
2*(r - 31)*(3*r - 2)
Let d = 51 - 45. Suppose -p + d*p + 15 = -5*x, x = -2*p - 1. Factor -6*m**p - 2*m**2 - 4*m**3 + 0*m**3 + 0*m**2.
-4*m**2*(m + 2)
Let i(h) = 44*h**2 - 93*h + 546. Let c(f) = 38*f**2 - 92*f + 548. Let d(q) = -7*c(q) + 6*i(q). Solve d(n) = 0.
8, 35
Let t(c) be the second derivative of 1/3*c**4 + 1 + 38*c - 24/5*c**2 - 16/15*c**3 + 1/25*c**5. Factor t(k).
4*(k - 2)*(k + 1)*(k + 6)/5
Let w(i) be the second derivative of i**5/80 + 7*i**4/48 - 35*i**3/4 - 27*i**2 - 98*i + 11. Factor w(u).
(u - 12)*(u + 1)*(u + 18)/4
Suppose 4*g - 5*q - 69 = 0, 0 = 4*q + 21 - 1. Let w be -354*6/(-180) - g. Solve 8/5 - w*m + 4/5*m**3 - 8/5*m**2 = 0 for m.
-1, 1, 2
Let r be (-1320)/(-1815) + 482/33. What is v in -2*v**3 + 20/3*v + 32/3 - r*v**2 = 0?
-8, -2/3, 1
Let f(w) be the first derivative of 28*w**5/5 - 81*w**4 + 152*w**3 - 80*w**2 + 858. Factor f(s).
4*s*(s - 10)*(s - 1)*(7*s - 4)
Let y(l) be the first derivative of -l**3 - 4206*l**2 - 5896812*l - 1892. Suppose y(j) = 0. What is j?
-1402
Factor -15/4*i**3 + 3/2*i**2 + 0 - 3/4*i**5 + 3*i**4 + 0*i.
-3*i**2*(i - 2)*(i - 1)**2/4
Let p(t) = t**3 - 9*t**2 + 15*t - 3. Let b be p(7). Let k be ((-44)/(-3))/b + 6/(-9). Factor 147*x**3 + 9 + 3*x**2 + 146*x**3 - 15*x - 290*x**k.
3*(x - 1)**2*(x + 3)
Let s(q) be the third derivative of q**6/780 - 751*q**5/390 - 1505*q**4/156 - 251*q**3/13 - 8*q**2 - 2*q + 137. Determine t, given that s(t) = 0.
-1, 753
Let v = -41 - -38. Let j be 50 - v/(-5)*(0 + 5). Let -11*w**4 - 5*w**3 + 16*w**5 + j*w**4 - 3*w**3 - 8*w + 25*w**2 - 61*w**2 = 0. What is w?
-2, -1, -1/4, 0, 1
Let u = -27575 + 27580. Factor 0*i + 2/3*i**4 + 1/9*i**u + 5/9*i**3 + 0*i**2 + 0.
i**3*(i + 1)*(i + 5)/9
Let l = 67723 - 203161/3. Suppose 0 = 2*t - 0 - 4. Fi