k**3 + 0*k + 2/11*k**4 + 16/11*k**2 = 0.
0, 1, 8
Let d = 5045 - 54598/11. Let z = -81 + d. Suppose z*x**2 + 2/11*x - 6/11 - 2/11*x**3 = 0. What is x?
-1, 1, 3
Let s(z) be the third derivative of -z**9/3024 - z**8/1008 - z**7/2520 + z**6/1080 - z**3/2 - 11*z**2. Let m(c) be the first derivative of s(c). Factor m(u).
-u**2*(u + 1)**2*(3*u - 1)/3
Let w(f) be the third derivative of -5/3*f**4 + 1 + 0*f + 1/42*f**7 + 7/6*f**5 - 7/24*f**6 + 0*f**3 - 5*f**2. Suppose w(k) = 0. Calculate k.
0, 1, 2, 4
Suppose 0 = -7*u - 14 - 0. Let i be (-1)/u - 15/(-6). What is d in 6*d**4 - 4*d**5 - 6*d**3 + 4*d**i - 6*d**2 + 5*d**3 + d**5 = 0?
-1, 0, 1, 2
Let x be ((-4)/16)/((-2)/8) - 8. Let a be (1/(-2))/(x/(-14)) - -4. Factor 1/2*v**2 - 1/2*v**4 + 0*v - 1/2*v**a + 1/2*v**5 + 0.
v**2*(v - 1)**2*(v + 1)/2
Let z = 73098/5 + -14618. Solve z*h - 3/5*h**2 + 3/5 = 0 for h.
-1/3, 3
Let f(j) = j**2 - 32*j + 4. Let x(t) = -5*t**2 + 158*t - 22. Let k(r) = -33*f(r) - 6*x(r). Factor k(a).
-3*a*(a - 36)
Let v = -20411/6 + 3402. Let -1/3*f**2 - 2/3*f**3 - v*f**5 + 2/3*f**4 + 5/6*f - 1/3 = 0. What is f?
-1, 1, 2
Factor -103368 + 4*v**3 + 4*v**2 - 8*v + 103368.
4*v*(v - 1)*(v + 2)
Let m be 10 + (-6)/(-7)*56/(-6). Factor -w**m - 3/2*w - 1/2.
-(w + 1)*(2*w + 1)/2
Let b(z) be the first derivative of z**6/18 - z**5/5 - 84. Factor b(s).
s**4*(s - 3)/3
Let x(n) = -n**2 - 4*n + 25. Suppose 25 + 50 = 25*m. Let o be x(m). Solve 0 + 2/3*t**2 - 2/3*t**o + 4/9*t - 4/9*t**3 = 0 for t.
-1, -2/3, 0, 1
Let t(l) be the second derivative of 15*l + 1/17*l**2 - 1/102*l**4 + 1/51*l**3 + 0 - 1/170*l**5. Factor t(m).
-2*(m - 1)*(m + 1)**2/17
Suppose q - 2 = -0*q + y, q - 4*y + 4 = 0. Let l be 0 - 15/q - -4. Solve 3/4*f**2 + 0 + 1/4*f**4 + 3/4*f**3 + l*f = 0 for f.
-1, 0
Let i(m) = 5*m**2 + 88*m + 971. Let z(j) = 11*j**2 + 176*j + 1943. Let a(p) = -14*i(p) + 6*z(p). Let a(v) = 0. What is v?
-22
Let x be -2*((-3)/(-27) + 116/(-72)). What is a in x*a**4 + 0 + 9/5*a**5 + 0*a + 3/5*a**3 - 3/5*a**2 = 0?
-1, 0, 1/3
Factor -2*k**2 + 4*k**2 + 6*k**4 + 63*k**3 + 28*k**2.
3*k**2*(k + 10)*(2*k + 1)
Let n = 957/2 + -476. Solve -7/2*m - 3/2 - 1/2*m**3 - n*m**2 = 0.
-3, -1
Let r(l) be the third derivative of l**8/84 + 10*l**7/21 + 41*l**6/15 - 306*l**5/5 + 495*l**4/2 - 450*l**3 - 392*l**2. Solve r(a) = 0.
-15, 1, 3
Find d such that 0*d + 44/3*d**3 + 0 - 8*d**4 - 40/9*d**2 - 20/9*d**5 = 0.
-5, 0, 2/5, 1
Let z = -16 - -16. Let l = 625 + -3749/6. Let 0 + 0*u + z*u**3 - l*u**4 + 1/6*u**2 = 0. What is u?
-1, 0, 1
Let n(m) be the first derivative of 7*m**4/3 - 22*m**3 - 20*m**2 - 29*m - 32. Let p(d) be the first derivative of n(d). Let p(w) = 0. What is w?
-2/7, 5
Let m(q) be the second derivative of -q**4/102 + 32*q**3/51 - 256*q**2/17 - 132*q. Factor m(o).
-2*(o - 16)**2/17
Let r(v) = -131*v**3 + 252*v**2 - 115*v - 10. Let o(a) = -a**3 + 2*a**2. Let b(j) = -4*o(j) - r(j). Determine d so that b(d) = 0.
-2/27, 1
Let t(u) be the second derivative of u**6/6 - u**5/4 - 5*u**4/6 - u + 27. Solve t(h) = 0 for h.
-1, 0, 2
Suppose 3*g + 3 = u, -u + 14 = u + 2*g. Suppose 9*x - 25 = -7. Factor 3*a**x + 7*a - 1 - u*a + a.
(a + 1)*(3*a - 1)
Let u be (3 + (-3)/6)*28/35. Solve 1/5*q**u - 1/5*q + 0 = 0.
0, 1
Suppose 0 - 92/7*d**2 + 4/7*d**4 - 88/7*d**3 + 0*d = 0. Calculate d.
-1, 0, 23
Let x(y) = y**2 - 19*y - 37. Let t be x(21). Factor 4*z**2 + 58 - t*z**2 + 0*z**2 + 30*z - 283.
-(z - 15)**2
Let s(t) = t. Let y(l) = -6*l - 1. Let i be y(-1). Let v(f) = f**2 + 4*f - 2. Let m(a) = i*s(a) - v(a). Let m(z) = 0. Calculate z.
-1, 2
Find q, given that 8 + 10*q**3 - 74/3*q**2 + 34/3*q**4 - 32/3*q - 14/3*q**5 = 0.
-1, 3/7, 2
Let i = 1324 + -1322. Factor 2/3*f + 4/3*f**i - 2/3*f**3 - 4/3.
-2*(f - 2)*(f - 1)*(f + 1)/3
Let k be 2/(-40)*-15 + (-1)/12. Find z, given that 1/3*z**2 + 0 - k*z + 1/3*z**3 = 0.
-2, 0, 1
Factor -1/5*y**4 + 2/5*y**2 + 0*y - 1/5 + 0*y**3.
-(y - 1)**2*(y + 1)**2/5
Solve 98/17 + 100/17*j + 2/17*j**2 = 0 for j.
-49, -1
Let k = -27714 - -138962/5. Let 28/5*x**2 + 5488/15 - 2/15*x**3 - k*x = 0. What is x?
14
Let j(m) be the second derivative of -3/14*m**4 - 1/105*m**6 - 2/7*m**2 - 1/14*m**5 - 1/3*m**3 + 11*m + 0. Factor j(z).
-2*(z + 1)**3*(z + 2)/7
Let x(t) = -t**2 + 4*t + 7. Let r be x(5). Solve -6*o**r + 12*o**3 + 18*o**2 - 16 - 8*o**3 = 0 for o.
-2, 1
Let i(b) be the second derivative of b**4/30 + 28*b**3/15 - 141*b + 2. Factor i(j).
2*j*(j + 28)/5
Let f(m) = 68*m - 5. Let y be f(2). Factor 129*i**3 - y*i**3 - 3*i**2 + i**2.
-2*i**2*(i + 1)
Let w be (-5 - (-630)/130) + 18024/(-130). Let t = w - -139. Find q such that -1/5*q - t*q**2 + 2/5 = 0.
-2, 1
Let k(i) be the third derivative of i**7/42 - i**6/2 - i**5/12 + 5*i**4/2 - 9*i**2 - 59. Let k(q) = 0. Calculate q.
-1, 0, 1, 12
Let l(j) be the second derivative of -5*j**7/14 - 14*j**6/5 - 39*j**5/20 + 5*j**4/2 + 29*j - 1. Solve l(v) = 0.
-5, -1, 0, 2/5
Let n(g) be the second derivative of -g**4/39 - 9*g**3/13 + 14*g**2/13 - 270*g. Factor n(b).
-2*(b + 14)*(2*b - 1)/13
Let k(g) be the first derivative of g**6/3 + 4*g**5 + 37*g**4/2 + 128*g**3/3 + 52*g**2 + 32*g - 3. Suppose k(c) = 0. What is c?
-4, -2, -1
Suppose -5*t = -k - 10, -4*k + 3*k + 3*t = 6. Let j(y) be the second derivative of -1/18*y**4 + 0*y**2 + 2*y + 1/9*y**3 + k. What is x in j(x) = 0?
0, 1
Let t(a) be the third derivative of -1/3*a**4 + 35*a**2 + 0*a + 0 - 13/9*a**3 + 1/90*a**5. Factor t(w).
2*(w - 13)*(w + 1)/3
Let y(h) be the second derivative of 1/12*h**3 + 1/12*h**4 - 14*h - 1/40*h**5 + 0 - 1/2*h**2. Let y(u) = 0. What is u?
-1, 1, 2
Suppose -27 - 53*o + 20*o + 26*o + 4*o**2 - 33 + 15*o = 0. Calculate o.
-5, 3
Factor -8/13 + 2/13*b**3 + 2/13*b**2 - 8/13*b.
2*(b - 2)*(b + 1)*(b + 2)/13
Let c be 1 - ((-8)/(-15) + 8/(-24) - 0). Factor -c*t**3 + 4/5*t**2 - 18/5 + 3*t.
-(t + 2)*(2*t - 3)**2/5
Let y(s) be the third derivative of -s**6/600 + 11*s**5/60 + 113*s**4/120 + 19*s**3/10 + s**2 - 372*s. What is j in y(j) = 0?
-1, 57
Suppose -5*j - 12 = -32. Suppose -j*b + 3*b + 3 = 0. Let 50/9*z**2 + 8/9 + 14/9*z**4 + 38/9*z**b + 2/9*z**5 + 32/9*z = 0. What is z?
-2, -1
Let l(z) = -2*z**4 + 9*z**3 + 74*z**2 - 30*z + 3. Let k(o) = -o**4 + 8*o**3 + 75*o**2 - 30*o + 4. Let h(j) = -3*k(j) + 4*l(j). Find a such that h(a) = 0.
-3, 0, 2/5, 5
Let m(t) be the second derivative of 0*t**2 + 3*t + 0 + 2/45*t**3 + 0*t**5 - 1/30*t**4 + 1/225*t**6. What is x in m(x) = 0?
-2, 0, 1
Let r(t) be the third derivative of t**6/80 - 33*t**5/40 - t**4/16 + 33*t**3/4 + 2*t**2 - 26. Solve r(d) = 0 for d.
-1, 1, 33
Let w(g) be the second derivative of 3/20*g**5 - 1/6*g**4 + 0 + 0*g**2 + 14*g + 1/18*g**3. Factor w(o).
o*(3*o - 1)**2/3
Let l(v) be the third derivative of -1/120*v**5 - 1/240*v**6 + 0*v + 1/672*v**8 + 0*v**4 + 0 + 1/420*v**7 - 14*v**2 + 0*v**3. Solve l(z) = 0 for z.
-1, 0, 1
Let w(x) = x**3 - 18*x**2 - 86*x + 12. Let b be w(-4). Suppose -2*f**b + 0 + 52/7*f**3 + 16/7*f**2 + 0*f = 0. Calculate f.
-2/7, 0, 4
Let l(o) be the second derivative of -2/11*o**2 + 4/33*o**3 - 14*o + 0 - 1/44*o**4. Let l(y) = 0. Calculate y.
2/3, 2
Let w(k) be the second derivative of -k**4/36 + 7*k**3/9 - 49*k**2/6 - 72*k. Find q such that w(q) = 0.
7
Let h(d) = -4*d**3 - 4*d**2 - 2*d + 10. Let w(s) = 11*s**3 + 13*s**2 + 5*s - 29. Let r(t) = 8*h(t) + 3*w(t). Let r(o) = 0. What is o?
-7, -1, 1
Let w(l) = 74*l**2 - 12*l - 14. Let i(n) = -4*n**2 - n + 1. Let y(s) = 12*i(s) + w(s). Suppose y(a) = 0. What is a?
-1/13, 1
Let h(z) be the third derivative of z**8/2240 + z**7/420 - z**6/240 - z**5/20 + 2*z**4 - 18*z**2. Let m(u) be the second derivative of h(u). Factor m(a).
3*(a - 1)*(a + 1)*(a + 2)
Let b(d) be the first derivative of -d**3/6 + 7*d**2/4 + 15*d - 317. Determine x, given that b(x) = 0.
-3, 10
Let -3*p - 4183*p**2 + 48*p + p**3 + 2*p**3 + 4207*p**2 = 0. What is p?
-5, -3, 0
Suppose 9 - 3 = 3*d. Let w(f) = f**3 + 4*f**2 - f. Let y be w(-4). Suppose d + 3 - y*b**2 + 0 - 3 + 2*b**4 = 0. Calculate b.
-1, 1
Suppose -2*b = -5*s - 5*b - 10, 0 = 4*s + 5*b + 21. Let d be 441/49*s*1/2. Find t such that d + 1/2*t**4 - 6*t + 2*t**3 - t**2 = 0.
-3, 1
Let h(i) be the third derivative of i**5/180 + i**4/3 - 67*i**2 - 6*i. Suppose h(n) = 0. What is n?
-24, 0
Determine t, given that -2*t**2 + 1298*t - 392 - 1242*t + 0*t**2 = 0.
14
Let b be (18/(-45))/((-1)/5). Determine 