 + 1. Let s(j) = -3*j**2 + 3*j - 4. Let h(v) = i*s(v) - 6*k(v). Solve h(z) = 0 for z.
1, 2
Let j = -24 + 19. Let u = 7 + j. Suppose u*n - n + 0*n + 4 - 5*n + n**2 = 0. Calculate n.
2
Let f be (21/6)/((-42)/(-24)). Let o(s) be the third derivative of 0*s**5 + 3*s**f + 1/80*s**6 - 1/224*s**8 + 0*s**7 + 0*s + 0*s**4 + 0 + 0*s**3. Factor o(u).
-3*u**3*(u - 1)*(u + 1)/2
Suppose 42*h + 15 = 47*h. Let j(l) be the third derivative of -l**2 + 0 + 4/3*l**h - 3/10*l**5 + 0*l + 4/3*l**4. Let j(s) = 0. Calculate s.
-2/9, 2
Let h = -16 - -18. Suppose 0 = 7*a - h*a - 20. Let -8*b**3 + 4*b + 0*b**a - 8*b**2 + 4 + 3*b**4 + 4*b**5 + b**4 = 0. What is b?
-1, 1
Let f(q) = -3*q**3 + 6*q**2 + 3*q - 6. Let j(c) be the first derivative of 13 + c - 1/3*c**3 + 0*c**2. Let b(x) = -f(x) - 3*j(x). Factor b(i).
3*(i - 1)**2*(i + 1)
Suppose -2*j + j = -4. Factor 3*g**2 - 9*g - 3*g**j - 2*g + 17*g - 6*g**3.
-3*g*(g - 1)*(g + 1)*(g + 2)
Let m(r) be the second derivative of -r**4/150 + 11*r**3/75 + 2*r - 7. Factor m(d).
-2*d*(d - 11)/25
Let b(a) = -a**3 - 12*a**2 - 11*a + 2. Let n be b(-11). Suppose -q = -5*c + 131, n*c - 3*q - 2*q - 57 = 0. Factor 26*x + 3*x**2 - c*x + 2*x**2.
5*x**2
Let o = -13 - -22. Let v be (4/(-6))/((-3)/o). Factor -v - 3 - 3*f + 0*f**2 - 1 + 3*f**2.
3*(f - 2)*(f + 1)
Suppose 5*p + 8 - 18 = 0. Factor -5*f**p - 8 - 13 - 8 + 34.
-5*(f - 1)*(f + 1)
Let f = 8471 + -8469. What is u in 0 + 0*u**3 + 2/11*u**4 - 4/11*u - 6/11*u**f = 0?
-1, 0, 2
Let t(z) = -2*z**2 - z + 2. Let a(n) = -25*n**2 + 60*n + 30. Let o(v) = a(v) - 15*t(v). Determine d, given that o(d) = 0.
-15, 0
Let s(d) be the third derivative of d**9/9072 - d**8/2016 + 7*d**4/8 - 9*d**2. Let c(v) be the second derivative of s(v). Factor c(q).
5*q**3*(q - 2)/3
Let w(c) = -c**4 + 20*c**3 + 24*c**2 - 18*c - 23. Let y(z) = -15*z**4 + 321*z**3 + 384*z**2 - 288*z - 369. Let h(l) = -33*w(l) + 2*y(l). Solve h(u) = 0 for u.
-1, 1, 7
Factor -1444 + 14*n**2 - 1081*n - 131*n**3 + 61*n**2 - 287*n + 130*n**3.
-(n - 38)**2*(n + 1)
Suppose -390 = 12*c - 2*c. Let l = c + 41. Solve -2/7*y**4 - 12/7*y**l - 8/7*y**3 - 2/7 - 8/7*y = 0 for y.
-1
Let h(n) be the second derivative of -n**5/80 + n**4/32 - n**3/48 + 136*n. Suppose h(y) = 0. What is y?
0, 1/2, 1
Let i(o) = -o**5 - o**4 + o**3 - o. Let s(d) = 4*d**3 + 10*d**2 + 6*d. Let a(q) = -4*i(q) - 2*s(q). Factor a(c).
4*c*(c - 2)*(c + 1)**3
Let g(b) be the second derivative of b**6/45 + b**5/6 - 11*b**4/18 - 11*b**3/3 - 6*b**2 - 526*b. Factor g(d).
2*(d - 3)*(d + 1)**2*(d + 6)/3
Let z(d) be the first derivative of d**5/5 + 3*d**4/4 - 2*d**3 - 14*d**2 - 24*d + 18. Find l such that z(l) = 0.
-2, 3
Let a(z) be the third derivative of -z**6/600 + z**5/100 - z**4/60 - 45*z**2. Solve a(l) = 0 for l.
0, 1, 2
Let y = 17 + -14. Factor 21*d**4 + 2*d**2 - 3*d**3 + 4*d**2 - 24*d**y.
3*d**2*(d - 1)*(7*d - 2)
Let p(c) be the first derivative of c**4/2 + 2*c**3/3 - c**2 - 2*c - 11. Let p(k) = 0. What is k?
-1, 1
Let j(w) = -2*w - 36. Let c be j(-19). What is y in -6*y**4 + c*y**4 + 340*y**2 - 12*y**3 - 348*y**2 = 0?
-2, -1, 0
Let c(q) = 6*q**5 - 9*q**4 - 6*q**3 + 9*q**2 + 3*q + 3. Let g(v) = 17*v**5 - 26*v**4 - 17*v**3 + 26*v**2 + 8*v + 8. Let u(x) = -8*c(x) + 3*g(x). Factor u(m).
3*m**2*(m - 2)*(m - 1)*(m + 1)
Let j(v) = -v**3 - 24*v**2 + 81*v + 2. Let a be j(-27). Solve 0*u + 0*u**a - 18/7*u**4 + 0 + 4/7*u**3 = 0 for u.
0, 2/9
Let b(g) be the third derivative of 5*g**8/336 - 5*g**7/21 + 25*g**6/24 - 4*g**2 + 27*g. Find d such that b(d) = 0.
0, 5
Let z(d) be the third derivative of -d**6/120 - 13*d**5/120 + 7*d**4/48 - d**2 - 10. Find y such that z(y) = 0.
-7, 0, 1/2
Let z = -13 - -9. Let f be 4 - (-1 - (z + 1)). Determine d so that 1 - 3*d**2 + 4*d**f - 2*d**2 = 0.
-1, 1
Let -112/5*b**2 + 19/5*b**3 + 0 + 192/5*b - 1/5*b**4 = 0. Calculate b.
0, 3, 8
Let x be 10/(-8)*-6*10/15. Factor -x*a**2 - 18 + 3*a**2 - a - 11*a.
-2*(a + 3)**2
Let b = 13 - 9. Suppose -12 = -4*h - b. Solve 2*x**2 - 2*x**2 - 4*x + h + 2*x**2 + 0*x**2 = 0.
1
Let q(x) be the second derivative of -x**8/252 + x**6/45 - x**4/18 - 21*x**2/2 + x. Let f(m) be the first derivative of q(m). Determine j, given that f(j) = 0.
-1, 0, 1
Suppose 0 = z - 5*z - 20. Let c be (-7 + 4)/(((-45)/(-2))/z). Determine b, given that -2/3*b**2 + 2/3*b**4 + c*b + 0 - 2/3*b**3 = 0.
-1, 0, 1
Let y = -6614 - -26457/4. Factor 1 + y*b**2 + b.
(b + 2)**2/4
Suppose 269*d + 97 + 65*d**2 - 37 - 62*d + 193*d = 0. What is d?
-6, -2/13
Let c(y) be the first derivative of y**3/18 + 5*y**2/12 - 310. Factor c(q).
q*(q + 5)/6
Let d(p) be the second derivative of p**6/10 - 9*p**5/10 + 11*p**4/4 - 3*p**3 + 3*p + 81. Factor d(v).
3*v*(v - 3)*(v - 2)*(v - 1)
Suppose 7*g = 9*g - 8. Let -5*t**4 + 4*t - 9*t**4 + 17*t**2 - 3*t**2 - g*t**3 = 0. Calculate t.
-1, -2/7, 0, 1
Let o be (1 - (-265)/(-45) - -6)*(-48)/(-80). Let 1/3*f**2 + o + f = 0. What is f?
-2, -1
Suppose 0 = -4*g + 2*g - 3*l + 10, 4*g = 2*l + 4. Suppose -3*p = o, -2*o = g*p - 0*o. Factor p + 1/4*z**2 - 3/4*z**3 + 1/2*z.
-z*(z - 1)*(3*z + 2)/4
Let f = 37 + -35. Let 5*x**3 + 4*x**f + 0*x**3 + 0*x**3 - x**3 = 0. Calculate x.
-1, 0
Factor 0*o + 0 - 3/4*o**5 - 36*o**3 + 39/4*o**4 + 27*o**2.
-3*o**2*(o - 6)**2*(o - 1)/4
Let b(a) be the third derivative of a**7/70 + a**6/8 - 7*a**5/20 - 5*a**4/8 + 3*a**3 + 6*a**2 - 9. Factor b(v).
3*(v - 1)**2*(v + 1)*(v + 6)
What is h in 1/4*h**4 + 25/4*h**2 + 0 + 21/2*h - 4*h**3 = 0?
-1, 0, 3, 14
Let w = 93 + -88. Let u(x) = x. Let r(a) = -5*a**3 - 5*a**2 - 5*a. Let o(t) = w*u(t) + r(t). Factor o(v).
-5*v**2*(v + 1)
Let k(s) be the third derivative of -s**8/2016 - s**7/315 + s**6/40 - s**5/18 + 7*s**4/144 + 3*s**2 + 18*s. Factor k(c).
-c*(c - 1)**3*(c + 7)/6
Let s = -88 - -94. Let t(m) be the third derivative of -1/40*m**s + 5*m**2 - 5/8*m**4 - 1/5*m**5 + 0*m - m**3 + 0. Find z, given that t(z) = 0.
-2, -1
Let h(c) be the first derivative of -3*c**5/50 + 29*c**4/90 - 2*c**3/15 - 3*c - 1. Let t(w) be the first derivative of h(w). Find y, given that t(y) = 0.
0, 2/9, 3
Let u = 696 - 693. Let l(i) be the second derivative of 0*i**5 + 0*i**4 - 1/21*i**7 - 1/15*i**6 + 0 - i + 0*i**u + 0*i**2. Determine r so that l(r) = 0.
-1, 0
Suppose -13*p + 4 = -10 - 12. Factor 4/11*i + 0 - 2/11*i**p.
-2*i*(i - 2)/11
Let s(m) be the first derivative of -m**4/18 + 10*m**3/27 - 2*m**2/3 + 47. Factor s(u).
-2*u*(u - 3)*(u - 2)/9
Suppose t + 1 = l, 4*l = -t - 2 + 26. Factor -1/4 + 1/2*g**2 + 7/4*g**t - 1/2*g**5 + 1/2*g - 2*g**3.
-(g - 1)**4*(2*g + 1)/4
Let t(q) = 3*q**4 + 13*q**3 + 33*q**2 + 13*q + 3. Let x(o) = o**4 + 6*o**3 + 16*o**2 + 6*o + 1. Let s(p) = 6*t(p) - 13*x(p). Determine n, given that s(n) = 0.
-1, 1
Let j(w) be the third derivative of 24*w**3 + 2*w**4 + 16*w**2 + 0*w - 7/3*w**5 - 2/105*w**7 + 0 - 2/5*w**6. Let j(h) = 0. Calculate h.
-6, -1, 1
Let p(t) = -7*t**3 + 3*t**2 + 3*t + 5. Let s(w) be the third derivative of -w**6/120 - w**4/24 + 5*w**2. Let n(f) = p(f) - 6*s(f). Factor n(z).
-(z - 5)*(z + 1)**2
Let x be -2*3/(-60)*2. Suppose 0 = -2*u - 2*d + 16, 5*u - 12 = -d + 3*d. Factor o + 2*o**3 + x + o**u + 2*o**2 + 1/5*o**5.
(o + 1)**5/5
Let x(u) = 6*u - 11*u - 10 + 13 - u**2. Let q be x(-5). Find j, given that -2/9*j**q + 0*j - 8/9 + 2/3*j**2 = 0.
-1, 2
Factor 18/5*z**3 - 102/5*z**2 - 324/5*z - 96/5.
6*(z - 8)*(z + 2)*(3*z + 1)/5
Factor -1/3*m**5 + 0 + 1/3*m**4 + 4*m**3 + 0*m**2 + 0*m.
-m**3*(m - 4)*(m + 3)/3
Suppose -5*h + 4*h = 5, 3*p - 18 = -3*h. Determine n so that -10*n**3 + 15*n**4 + 20*n**2 - 8*n - p*n**4 - 6*n**3 = 0.
0, 1, 2
Let k(r) = 19*r**2 + 30*r + 61. Let g(x) = -11*x**2 - 15*x - 30. Let a(c) = 7*g(c) + 4*k(c). Factor a(s).
-(s - 17)*(s + 2)
Let h be 8578/40 + 2/(24/9). Let p = 217 - h. Factor -p*t + 3/5*t**2 + 6/5.
3*(t - 2)*(t - 1)/5
Find y such that -20*y + 92/9 - 284/9*y**2 - 4/3*y**3 = 0.
-23, -1, 1/3
Let n(w) be the second derivative of w**9/45360 - w**8/10080 - 19*w**4/12 + 14*w. Let s(d) be the third derivative of n(d). Factor s(h).
h**3*(h - 2)/3
Let m(l) be the third derivative of -l**8/1848 + 8*l**7/385 - 59*l**6/330 - 52*l**5/55 - 169*l**4/132 + 2*l**2 + 97. Suppose m(n) = 0. What is n?
-1, 0, 13
Factor 26/5 - 27/5*a + 1/5*a**2.
(a - 26)*(a - 1)/5
Let o(i) = i**3 + 6*i**2 - 6*i + 10. Let c be (-28)/(-6)*27/(-18). Let u be o(c). Factor 2*g**3 - u*g - g**3 +