 - 16/3*b = 0?
-1, 0, 2/7, 2
Let c = 4850 - 4848. Determine w so that -2/17*w**c + 0 + 6/17*w = 0.
0, 3
Let p = 279/74 + -84/37. Let s(d) be the second derivative of -p*d**2 + 1/4*d**4 + 7*d + 0*d**3 + 0. Factor s(m).
3*(m - 1)*(m + 1)
Let o(k) be the first derivative of -3*k**5/5 - 3*k**4/4 + k**3 + 3*k**2/2 - 121. Factor o(u).
-3*u*(u - 1)*(u + 1)**2
Let x(f) be the first derivative of 0*f**3 + 2/9*f**6 + 2/3*f**2 - 2/3*f**4 - 4 + 0*f + 0*f**5. Determine b, given that x(b) = 0.
-1, 0, 1
Let l(g) be the second derivative of -g**5/40 + g**4/3 - 7*g**3/4 + 9*g**2/2 - 2*g - 2. Find y such that l(y) = 0.
2, 3
Solve 4/5*w**4 - 12/5 + 16/5*w - 16/5*w**3 + 8/5*w**2 = 0 for w.
-1, 1, 3
Let w = 40 - 61. Let l be (-125)/w + -5 - (-2)/(-3). Solve l*v**2 + 0*v - 8/7 = 0.
-2, 2
Let p(a) be the third derivative of -a**5/180 + a**4/12 - a**3/2 - 17*a**2. Factor p(n).
-(n - 3)**2/3
Solve 32 - 36*g - 1/8*g**3 + 33/8*g**2 = 0.
1, 16
Let h(y) be the second derivative of 21*y + 0 + 25/12*y**4 + 3/4*y**5 - 5/2*y**3 - 3/2*y**6 + 10/21*y**7 + 0*y**2. Factor h(z).
5*z*(z - 1)**3*(4*z + 3)
Let x(k) be the third derivative of 5/16*k**4 + 1/2*k**3 + k**2 + 0 + 0*k - 7/40*k**5. Find d such that x(d) = 0.
-2/7, 1
Let o(f) be the first derivative of 0*f**4 + 0*f**2 - 2 + 1/33*f**3 + 2*f - 2/165*f**6 - 3/110*f**5. Let r(v) be the first derivative of o(v). Factor r(c).
-2*c*(c + 1)**2*(2*c - 1)/11
Let h(d) be the third derivative of -d**6/40 + d**5/20 + d**4/8 - d**3/2 + 102*d**2. Factor h(f).
-3*(f - 1)**2*(f + 1)
Let s(a) be the third derivative of -a**6/600 + 53*a**5/300 - 91*a**4/15 + 338*a**3/15 - 28*a**2 - a. Factor s(z).
-(z - 26)**2*(z - 1)/5
Suppose 11 = 2*c + 5. Suppose 14 = -x + 4*k, c*k = -x + k + 16. Factor -66*l**3 - 39*l**2 + 39*l + 48*l**3 - 66*l**3 - x.
-3*(l + 1)*(4*l - 1)*(7*l - 2)
Let q be 620/26 - 20/(-130). Let q - 1102*i**3 + 463*i**3 - 840*i**3 + 693*i**4 + 1038*i**2 - 276*i = 0. Calculate i.
2/11, 2/7, 2/3, 1
Let d be 1780/2520 - 1/(-2) - (-2)/9. What is w in -8/7*w + d - 2/7*w**2 = 0?
-5, 1
Let s(y) = -4*y**2 + 4*y + 2. Let w(k) = -9*k**2 + 9*k + 3. Let u = -33 - -28. Let p(b) = u*s(b) + 2*w(b). Factor p(q).
2*(q - 2)*(q + 1)
Let s(x) be the third derivative of -x**8/1680 + 9*x**7/350 + 6*x**2. Factor s(j).
-j**4*(j - 27)/5
Let v be 2/(4/(-54))*(-27 + 323/12). Let -1/2*t - v*t**2 + 0 - 7/4*t**3 = 0. Calculate t.
-1, -2/7, 0
Let f(m) be the third derivative of -1/10*m**5 + 0 - 7/24*m**3 - 1/48*m**6 - 11/48*m**4 - 2*m**2 + 0*m - 1/840*m**7. Solve f(c) = 0 for c.
-7, -1
Let y(g) = -20*g**2 + 128*g - 300. Let h(z) be the second derivative of 7*z**4/12 - 43*z**3/6 + 50*z**2 + 12*z. Let f(t) = 8*h(t) + 3*y(t). Factor f(w).
-4*(w - 5)**2
Let s(o) = -o**5 + o**4 + o - 1. Let t(d) = 3*d**5 - 4*d**4 - 3*d**3 + 8*d**2 - 6*d + 2. Let x(z) = -2*s(z) - t(z). Suppose x(j) = 0. What is j?
-2, 0, 1, 2
Let n(i) = 2*i**5 - 22*i**4 - 56*i**3 - i**2 + 2*i. Let g(m) = -m**5 - m**4 - 2*m**3 - m**2 + 2*m. Let q(t) = g(t) - n(t). Determine h so that q(h) = 0.
-2, 0, 9
Let l = 23/986 + -264731/20706. Let i = l - -40/3. Let -10/7*o + i*o**2 + 4/7 = 0. What is o?
1/2, 2
Let x(o) be the third derivative of o**6/30 - 24*o**5 + 7200*o**4 - 1152000*o**3 + 358*o**2. Determine v so that x(v) = 0.
120
Suppose -3*j - 64 - 5 = 0. Let d be (-2)/(-9) + j/(-18). Factor 0 - 3/2*i**3 - d*i - 3*i**2.
-3*i*(i + 1)**2/2
Let d = 48 - 45. Solve -3*l**2 - l**d - 2 - l - 6*l + 2*l - l**2 = 0 for l.
-2, -1
Let m(d) = -d**5 + d**4 - d - 1. Let j(u) = 9*u**5 + 15*u**4 + 192*u**3 + 648*u**2 + 440*u - 1288. Let n = 14 + -17. Let q(f) = n*j(f) - 24*m(f). Factor q(p).
-3*(p - 1)*(p + 6)**4
Let o(q) be the second derivative of -q**5/10 + 35*q**4/24 - 23*q**3/12 - 2*q**2 + 123*q. Solve o(h) = 0 for h.
-1/4, 1, 8
Factor -10*d + 505*d**2 + d**3 - 6*d**3 - 520*d**2.
-5*d*(d + 1)*(d + 2)
Let j = 19212/6865 - -2/1373. Factor -2/5*l**4 - 6/5*l - 2*l**3 - j*l**2 + 0.
-2*l*(l + 1)**2*(l + 3)/5
Let c(s) be the first derivative of 0*s + 32/3*s**3 + 4*s**2 + 7/2*s**4 + 7. Factor c(g).
2*g*(g + 2)*(7*g + 2)
Let s(h) be the second derivative of -h**4/24 + 4*h**3/3 - 39*h**2/4 + 387*h. Factor s(o).
-(o - 13)*(o - 3)/2
Let d = -324/23 + 5646/391. Let z(c) be the first derivative of d*c + 1/34*c**4 - 13 - 2/17*c**3 - 1/17*c**2. What is u in z(u) = 0?
-1, 1, 3
Let s(d) = -2*d**2 - 4*d + 3. Let y be s(2). Let q = y - -17. Factor -q*h**4 + 4*h**2 - 4*h + 1 - 1 - 8*h**3 + 12*h.
-4*h*(h - 1)*(h + 1)*(h + 2)
Let a(n) be the first derivative of -3*n**4/4 - 57*n**3 - 2349*n**2/2 + 2523*n + 98. Factor a(x).
-3*(x - 1)*(x + 29)**2
Suppose 3*t = 3*f + 39, 0 = -0*t - 5*t - 15. Let w(m) = 48*m**2 - 940*m - 240. Let q(x) = 10*x**2 - 188*x - 48. Let u(g) = f*q(g) + 3*w(g). Factor u(d).
-4*(d - 12)*(4*d + 1)
Let q(n) = n**3 - 17*n**2 - 16*n - 12. Let y be q(18). Factor 2*m**2 + m**2 - 3*m**2 + y*m + 4*m**2.
4*m*(m + 6)
Let n = 46 + -44. Factor -7*m**2 - 3*m**n + 4*m**3 - m**2 + 3*m**2.
4*m**2*(m - 2)
Let n(i) be the first derivative of 7*i**5/40 + 37*i**4/72 + 19*i**3/36 + i**2/4 - 21*i - 15. Let m(d) be the first derivative of n(d). Factor m(r).
(r + 1)*(3*r + 1)*(7*r + 3)/6
Let z(r) be the third derivative of -7*r**8/48 - r**7/10 + 3*r**6/8 + 5*r**5/12 - 137*r**2. What is i in z(i) = 0?
-5/7, 0, 1
Let b(f) = 2*f**5 - 3*f**4 - 5*f**3 + 5*f**2 - 5*f - 5. Let t(w) = -2*w**5 + 4*w**4 + 6*w**3 - 6*w**2 + 6*w + 6. Let y(j) = 6*b(j) + 5*t(j). Factor y(d).
2*d**4*(d + 1)
Let r(o) be the third derivative of -1/16*o**4 + 1/420*o**7 + 34*o**2 + 0*o**3 + 7/120*o**5 + 0 - 1/48*o**6 + 0*o. What is y in r(y) = 0?
0, 1, 3
Let s(x) be the second derivative of x**5/8 - 3*x**4/4 + 7*x**3/12 + 3*x**2/2 - 251*x. Factor s(y).
(y - 3)*(y - 1)*(5*y + 2)/2
Let o be (-10 + 8)*1/(-11). Suppose 0 = u + 8 - 10. Determine r so that 0*r + 2/11 - o*r**u = 0.
-1, 1
Solve -3/2*d**4 + 27/2*d**3 + 0 - 75/2*d - 45/2*d**2 = 0.
-1, 0, 5
Let c be 39/(-26)*8/18 - -1. Let n(o) be the first derivative of -o**2 + c*o**3 + 1 + o. Factor n(f).
(f - 1)**2
Let j = 2351 - 7045/3. Let -j*n**3 - 4/3*n + 2/3 - 14/3*n**2 = 0. Calculate n.
-1, 1/4
Factor -13*r + 6 + r**3 + 4*r**2 + 4*r**2 - 4*r**2 + 2*r.
(r - 1)**2*(r + 6)
Factor -20*p**4 - 47*p**4 - 24*p**3 + 20*p + 16*p**2 + 51*p**4 + 4*p**5.
4*p*(p - 5)*(p - 1)*(p + 1)**2
Let b(p) be the first derivative of 27 + 0*p + 5/2*p**4 + 15*p**3 - 25/2*p**2. Factor b(n).
5*n*(n + 5)*(2*n - 1)
Let u(q) be the second derivative of q**5/80 - 7*q**4/24 + 11*q**3/6 - 5*q**2 - 142*q. Determine l so that u(l) = 0.
2, 10
Let n be (1/3)/((-2)/(-6)) - -3. Find u such that u**3 - 8*u**4 + u**4 + 2*u**3 + 4*u**n = 0.
0, 1
Suppose -3*g + 2 = -g. Suppose 3*b = o + 3*o + 8, o = g. Find w such that -2*w**3 + 0*w**4 - 4*w**2 - w**b - 2*w**3 = 0.
-2, 0
Let r(d) be the first derivative of d**4/66 - d**2/11 + 13*d + 13. Let n(q) be the first derivative of r(q). What is l in n(l) = 0?
-1, 1
Let z(v) be the first derivative of -v**4/3 + 5*v**3/3 + 49*v**2/6 + 10*v - 387. Suppose z(p) = 0. What is p?
-5/4, -1, 6
Suppose 24/5*l - 48/5 + 36/5*l**2 - 6/5*l**4 - 6/5*l**3 = 0. Calculate l.
-2, 1, 2
Let m(r) be the first derivative of -r**5/5 + r**4 + r**3 - 9*r**2 + 110. Let m(c) = 0. What is c?
-2, 0, 3
Suppose -5*k + 30 = 5*i, -3*k + 4*i = 2*k - 21. Let t be 21/k + (-5)/25. Find l, given that -3 - 12*l**3 + 8*l + 4*l**3 + t*l**4 - 1 = 0.
-1, 1
Let r = -811 + 811. Let o(n) be the third derivative of -1/20*n**6 - 1/15*n**5 + 0*n - 1/336*n**8 - 3*n**2 + 0*n**3 - 2/105*n**7 + r - 1/24*n**4. Factor o(z).
-z*(z + 1)**4
Determine s so that 11195 - 2*s**2 - s**2 + 4187 + 4*s**2 + 2574 - 268*s = 0.
134
Let b(x) be the third derivative of x**9/20160 + x**8/840 + 13*x**7/1680 + x**6/40 + 9*x**5/20 + 6*x**2. Let h(s) be the third derivative of b(s). Factor h(w).
3*(w + 1)**2*(w + 6)
Suppose -50 = 19*o - 278. Suppose -5*s + q + o = -0*q, q = -s + 6. Determine p so that 3/5*p**s - 6/5 + 6/5*p**2 - 3/5*p = 0.
-2, -1, 1
Determine b, given that -18/23*b**4 + 0 + 0*b + 50/23*b**2 - 30/23*b**3 - 2/23*b**5 = 0.
-5, 0, 1
Suppose -2*g + 75 = 67. Let s(o) be the second derivative of 3*o**2 + 0 - 4*o + 2/3*o**3 + 1/15*o**6 - 1/5*o**5 - 2/3*o**g. Find m, given that s(m) = 0.
-1, 1, 3
Let b be (14/(-2))/(5/10 - 4). Let w(j) be the first derivative of 7 - 2*j**b + 0*j + 4/3*j**3. Factor w(g