a**3 - 128*a - 128 - 1/2*a**4 - 48*a**2 = 0.
-4
Suppose -4*y - 39 = -17*y. Suppose 0 = -w - 5*r + 4, 33*w - y*r = 30*w + 12. Let 2/11*k**5 - 8/11*k**w - 6/11*k + 4/11*k**3 + 0 + 8/11*k**2 = 0. What is k?
-1, 0, 1, 3
What is c in -1/8*c - 1/8*c**2 + 3/2 = 0?
-4, 3
Let b(f) = -12926*f + 723858. Let r be b(56). Let n = -1 + 1. Suppose 0*j**4 + 0*j + n + 14/15*j**3 + 4/5*j**r - 2/15*j**5 = 0. What is j?
-2, -1, 0, 3
Find a such that 270 - 117*a - 3/4*a**3 + 33/2*a**2 = 0.
6, 10
Let f(s) = -16*s**4 + 3*s**3 + 3*s**2 + 4*s + 2. Let x(g) = -39*g**4 + 6*g**3 + 5*g**2 + 10*g + 5. Let w(b) = 5*f(b) - 2*x(b). Factor w(v).
-v**2*(v + 1)*(2*v - 5)
Let c(o) be the third derivative of -1058/3*o**3 + 0 - 14*o - 1/15*o**5 + 3*o**2 - 23/3*o**4. Let c(b) = 0. Calculate b.
-23
Let k be 2*5/(30/9). Suppose 4*c = -3*j + 23, -k*j = 3*c - 1 - 20. Let 3*i**3 - 3*i - 125*i**c + 128*i**2 + 0*i**3 - 3*i**4 = 0. Calculate i.
-1, 0, 1
Suppose 0 = -4*j - 2*v + 10, -11 + 24 = 5*j + 2*v. Factor 20*t**2 + 13*t**4 - 3*t**4 + 2*t + 3*t + 14*t**3 + 11*t**j.
5*t*(t + 1)**2*(2*t + 1)
Let v(z) be the second derivative of -z**5/90 - 29*z**4/54 - 14*z**3/3 - 16*z**2 - 38*z. Let v(d) = 0. What is d?
-24, -3, -2
Let h(b) = 6*b**2 - 127*b + 23. Let m be h(21). Suppose -5*u**2 + 11*u - u**2 - 10*u + m*u**3 + 3*u = 0. Calculate u.
0, 1, 2
Let k = -9 - -12. Let l = 285 + -250. Suppose 2 - 27*t**2 + 72*t - 15 - l + k*t**3 = 0. What is t?
1, 4
Let y(b) be the first derivative of b**4/2 - 76*b**3/3 + 37*b**2 + 1363. Factor y(d).
2*d*(d - 37)*(d - 1)
Let d(u) be the third derivative of 9*u**8/112 + 136*u**7/35 - 57*u**6/10 - 167*u**5/10 + 219*u**4/8 + 31*u**3 + 8823*u**2. Suppose d(h) = 0. Calculate h.
-31, -1, -2/9, 1
Let p(z) be the second derivative of 1/50*z**5 - 2/5*z**2 - 2/15*z**4 + 1/3*z**3 - 47*z + 0. Find m such that p(m) = 0.
1, 2
Let m(t) = -21*t - 72. Let q be m(-4). Factor q*a + 30*a**2 - 51 + 9*a**3 - 61 - 72 + 160.
3*(a + 2)**2*(3*a - 2)
Suppose -2/3*h**3 + 0 + 56/3*h + 18*h**2 = 0. Calculate h.
-1, 0, 28
Let t(v) be the second derivative of v**6/60 + 9*v**5/40 - 25*v**4/24 - 11*v**3/4 - 185*v - 3. Factor t(z).
z*(z - 3)*(z + 1)*(z + 11)/2
Suppose 0 = -m - 5*v - 21 + 7, -4*m + 8 = 4*v. Suppose -m*r + 15 = 3. Find b, given that 6/11*b**3 + 4/11*b + 0 + 8/11*b**4 - 18/11*b**r = 0.
-2, 0, 1/4, 1
Suppose 37*g = 223*g + 2226*g. Factor 160*a + 200*a**2 + g + 5/2*a**4 + 85/2*a**3.
5*a*(a + 1)*(a + 8)**2/2
Let m(o) be the first derivative of 1/8*o**4 + 0*o**3 + 123 + 0*o - o**2. Factor m(a).
a*(a - 2)*(a + 2)/2
Suppose 0 = 2*j - 5*w - 66, 301 = -j - 8*w + 208. Find v such that 2/3*v**4 + 8/3 - 8*v + 26/3*v**2 - 4*v**j = 0.
1, 2
Let y be 1384/56 + 52/(-14) + 4. Suppose -5*g - 5*s = y, 2*g + s = -11 + 6. What is n in -4/3*n**3 + 2/3*n**4 - 2/3*n**2 + 4/3*n + g = 0?
-1, 0, 1, 2
Let m(y) be the third derivative of y**6/8 + 19*y**5/10 - 2*y**4 + 2*y**2 + 42*y - 3. Suppose m(t) = 0. Calculate t.
-8, 0, 2/5
Suppose -2*u - 2075 + 2027 = -6*u. Let q(s) be the first derivative of 3/4*s**4 + u*s**2 + 5*s**3 + 12*s + 1. Factor q(h).
3*(h + 1)*(h + 2)**2
Let h be 53418/(-91245) - (-3)/15*2. Let c = -2/553 - h. Factor 4/11*n**2 + 0 + c*n**3 + 0*n.
2*n**2*(n + 2)/11
Let n(o) be the third derivative of 2*o**7/105 + 2*o**6/15 - 2*o**5/15 - 2*o**4 + 6*o**3 + 682*o**2. Solve n(x) = 0.
-3, 1
Let y(u) be the first derivative of 16/3*u + 8/9*u**2 + 37 - 4/9*u**3 - 1/9*u**4. Find b such that y(b) = 0.
-3, -2, 2
Let w = 1183065 - 1183062. Let 1/6*m**4 - 4/3*m**w + 5*m + 0 - 23/6*m**2 = 0. What is m?
-3, 0, 1, 10
Find g, given that -1/2*g**3 - 318*g - 61/2*g**2 - 288 = 0.
-48, -12, -1
Let n(b) be the third derivative of 343*b**6/720 + 147*b**5/10 + 189*b**4 + 1296*b**3 - 115*b**2 + 3*b. Factor n(u).
(7*u + 36)**3/6
Let k(r) = -122*r**2 + 2074*r + 2. Let g be k(17). Let -1/7*m + 2/7 - 1/7*m**g = 0. What is m?
-2, 1
Let z(k) be the third derivative of -k**5/15 - 1008*k**4 - 6096384*k**3 + 83*k**2 - 49*k. Factor z(v).
-4*(v + 3024)**2
Let h(v) be the second derivative of 21/110*v**5 + 92*v + 0*v**2 + 0 + 0*v**3 + 10/33*v**4 - 1/231*v**7 + 0*v**6. Let h(d) = 0. What is d?
-4, -1, 0, 5
Let d(s) be the third derivative of 7*s**4 + 57/2*s**3 + 0*s - 1/20*s**5 - 264*s**2 + 0. Let d(f) = 0. What is f?
-1, 57
Suppose -58*h + 60*h = 6. Let o(c) = 17*c**2 + 5*c - 8. Let r be o(h). Find b, given that -32*b - 19 - 100*b**4 - 4 + r*b**3 - 24*b**2 + 19 = 0.
-1/5, 1
Let f(q) be the second derivative of 49/120*q**5 + 29/9*q**3 + 0 - 28/9*q**4 - 4/3*q**2 - 97*q. Determine b so that f(b) = 0.
2/7, 4
Let d(c) be the third derivative of c**7/280 + c**6/180 - 17*c**5/120 + c**4/2 + 73*c**3/6 + 17*c**2. Let z(x) be the first derivative of d(x). Factor z(q).
(q - 1)*(q + 3)*(3*q - 4)
Let q(i) = -73*i**3 + 2456*i**2 - 23097*i - 3610. Let d(l) = 290*l**3 - 9825*l**2 + 92385*l + 14440. Let p(o) = -4*d(o) - 15*q(o). Find g, given that p(g) = 0.
-2/13, 19
Suppose 5*s = 3*c - 348 + 342, 0 = 4*c - 4*s - 8. Let w(r) be the third derivative of -r**c + 1/36*r**5 + 0 + 5/6*r**3 + 0*r + 5/18*r**4. Factor w(m).
5*(m + 1)*(m + 3)/3
Let u(g) = -g**4 + 10*g**3 + 27*g**2 + 14*g + 10. Let f(s) = -s**4 + 9*s**3 + 22*s**2 + 11*s + 9. Let w(l) = -6*f(l) + 5*u(l). Find j, given that w(j) = 0.
-1, 1, 2
Let x(n) be the second derivative of n**7/84 + n**6/5 + 21*n**5/40 + 5*n**4/12 + 3*n - 3. Suppose x(r) = 0. What is r?
-10, -1, 0
Let u(s) be the third derivative of -s**7/3780 - 7*s**6/1080 + 13*s**4/24 - 3*s**2 + 8*s. Let o(z) be the second derivative of u(z). What is x in o(x) = 0?
-7, 0
What is h in 10*h**5 + 54*h**4 - 107*h - 112*h + 199*h - 20*h**2 - 23*h**2 + 10*h**3 - 11*h**2 = 0?
-5, -1, -2/5, 0, 1
Suppose -36 = 5*g + 4*s, 65 = -5*s + 45. Let a be 255/(-100) - g - 10/8. Let 4/5*k - a*k**2 - 3/5 = 0. What is k?
1, 3
Let p be 6/15 - (-10)/(-25). Find m, given that -126*m + 637 + p*m + 3719 + 4*m**2 - 138*m = 0.
33
Let c(l) = -2*l**2 + l + 4*l**3 + l**2 - 2*l**2 - 2 + 0*l**2. Let o be c(2). Determine u so that -40 + 47*u + o*u**2 - 57*u - 51*u - 31*u = 0.
-2/5, 5
Let y(i) = 215*i**4 - 647*i**3 + 660*i**2 - 223*i + 2. Let s(m) = -9*m**2 + 2*m. Let x(u) = s(u) + y(u). Factor x(o).
(o - 1)**3*(215*o - 2)
Let n be 78/18 + -8 - (-5568)/1305. Solve -3/5*x**2 + n*x**3 - 9/5 - 3*x = 0 for x.
-1, 3
Let 1/2*d**3 - 1134 + 288*d - 43/2*d**2 = 0. What is d?
7, 18
Let b(u) = -10*u**2 + 25*u - 22. Let z(k) = -7. Let i(x) = 57. Let n(c) = 4*i(c) + 33*z(c). Let q(a) = b(a) - 4*n(a). Factor q(j).
-5*(j - 2)*(2*j - 1)
Factor 80 - 28/3*b**2 + 64/3*b.
-4*(b + 2)*(7*b - 30)/3
Let a be (-2)/150*-15*(-16)/(-8). Let a*p**3 + 4/5*p**2 - 6/5*p + 0 = 0. Calculate p.
-3, 0, 1
Let p(f) = 841*f**2 - 13*f + 11. Let y be p(1). Let d = -839 + y. Determine v, given that 0 + 1/3*v**2 + 1/3*v**3 + d*v = 0.
-1, 0
Let g = -43 + -29. Let x be ((-2)/3 - 0)/(16/g). Factor 16*v**2 + 3*v**4 + 19*v**x - 13*v**2 - 25*v**3.
3*v**2*(v - 1)**2
Let v = 7080/2519 - 144/229. Find d such that v*d - 8/11 + 14/11*d**2 = 0.
-2, 2/7
Let -1017*h - 191*h**4 + 930*h - 60 + 1455*h**2 - 301*h + 135*h**5 - 435*h**3 - 204*h**4 - 312*h = 0. What is h?
-2, -2/27, 1, 3
Factor -106929/4 - 327/2*c - 1/4*c**2.
-(c + 327)**2/4
Let o(n) be the second derivative of -n**4/3 + 1078*n**3/3 - 1076*n**2 - 4*n - 178. Factor o(x).
-4*(x - 538)*(x - 1)
Let d(m) = -20*m**2 - 82*m - 80. Let o(i) be the first derivative of -55*i**3 - 655*i**2/2 - 640*i - 114. Let x(p) = -25*d(p) + 3*o(p). Factor x(r).
5*(r + 1)*(r + 16)
Let d(z) = -16*z**2 - 10*z + 240. Let t(b) = 3*b**2 + 2*b - 48. Let l(y) = -2*d(y) - 11*t(y). Let k be l(6). Factor 1/2*p**3 + k - 1/10*p**4 - 4/5*p**2 + 2/5*p.
-p*(p - 2)**2*(p - 1)/10
Let l(f) be the first derivative of -59*f**4/24 + 409*f**3/18 - 281*f**2/6 - 20*f/3 - 490. Find v such that l(v) = 0.
-4/59, 2, 5
Suppose 0 = -3*l - 0*g - 2*g + 16, 2*l - 19 = -3*g. Suppose 0*b + b + 4 = 0, 12 = -l*z - 4*b. Factor 40*q**2 + 2*q + 2 + 38*q**2 - 80*q**2 + z.
-2*(q - 2)*(q + 1)
Let g(j) be the third derivative of -j**7/1575 + 73*j**6/225 - 581*j**5/450 + 29*j**4/18 + 59*j**2 + 3*j. Suppose g(d) = 0. Calculate d.
0, 1, 290
Let p = -88687 - -88689. Find q, given that -3/2 - 15/8*q**5 - 3*q + 39/8*q**3 - 21/8*q**4 + 33/8*q**p = 0.
-2, -1, -2/5, 1
Let r(y) be the first derivative of 50*y**5 - 27200*y**4 + 43440*y**3 - 26048