60*j**6 + 1/4*j**h + 0. Let i(x) = 0. What is x?
1
Let c = 313 - 309. Factor 2/3*m**c + 0 + 0*m + 2/3*m**5 - 2/3*m**2 - 2/3*m**3.
2*m**2*(m - 1)*(m + 1)**2/3
Let n be 2/11 - (-46)/(-11). Let v = n + 4. Factor -2/3*x**5 - 2*x**4 - 2*x**3 - 2/3*x**2 + 0*x + v.
-2*x**2*(x + 1)**3/3
Let z(b) be the third derivative of -1/6*b**4 + 7*b**2 + 1/15*b**6 + 0*b + 1/15*b**5 + 0*b**3 + 0. Let z(c) = 0. What is c?
-1, 0, 1/2
Factor 0*m**4 + 0*m**3 + 0*m**4 + 8*m**3 - 4*m**2 - 4*m**4.
-4*m**2*(m - 1)**2
Let c(m) = -250*m**3 + 455*m**2 - 235*m + 40. Let v(y) = -375*y**3 + 683*y**2 - 352*y + 60. Let b(w) = 8*c(w) - 5*v(w). What is h in b(h) = 0?
2/5, 1
Let l(r) be the first derivative of -r**2 + 2*r**4 - 4*r - 2 + 4*r + 2*r**3. Let o(g) = -9*g**3 - 7*g**2 + 2*g. Let z(d) = 7*l(d) + 6*o(d). Factor z(f).
2*f*(f - 1)*(f + 1)
Let v = -15 + 15. Suppose 3*q - 9*q = v. Factor 1/4*j**2 + 0 + q*j.
j**2/4
Factor -8*g**3 + 2*g**5 - 4*g**4 + 4*g**2 + 6*g - 524 + 524.
2*g*(g - 3)*(g - 1)*(g + 1)**2
Suppose 4*w = 4, 28 = 7*f - 2*f - 2*w. Let m(z) = z**3 - 5*z**2 - 5*z - 4. Let r be m(f). Factor 0 - 6*d**r - 4/3*d.
-2*d*(9*d + 2)/3
Let r be (-180)/(-75) - (1 + 1). Factor 0 - r*q**2 + 0*q**3 - 1/5*q + 1/5*q**5 + 2/5*q**4.
q*(q - 1)*(q + 1)**3/5
Suppose -4*h - 13 = 5*v + 9, -1 = 2*v - h. Let x be (v/(-5))/((-5)/(-25)). Let d**5 - 3*d**2 + 3*d - 5*d**3 + d**2 + x + d**3 = 0. What is d?
-1, 1, 2
Let y(x) = 3*x**2 - 20*x - 17. Let j(g) be the third derivative of g**5/60 - 7*g**4/24 - g**3 - 5*g**2. Let v(w) = -17*j(w) + 6*y(w). Find n such that v(n) = 0.
0, 1
Suppose 0*k = -3*k. Let q(a) be the second derivative of 1/8*a**2 + 0*a**3 + 0*a**5 + 1/120*a**6 - 1/24*a**4 - 3*a + k. Factor q(d).
(d - 1)**2*(d + 1)**2/4
Factor 9/2 - 9/2*k - 1/2*k**2 + 1/2*k**3.
(k - 3)*(k - 1)*(k + 3)/2
Let n(a) = -a**2 + 32*a - 131. Let v be n(5). Find i, given that 0 - 2/3*i**2 - 2/9*i**v - 2/9*i - 2/3*i**3 = 0.
-1, 0
Factor -5/6*a**4 - 3/2*a**2 + 0 - 1/3*a - 2*a**3.
-a*(a + 1)**2*(5*a + 2)/6
Let g be 10/25*20/24. Let 1/3*c**5 + 0 + 0*c - g*c**2 + 1/3*c**4 - 1/3*c**3 = 0. What is c?
-1, 0, 1
Solve 6*n + 3*n - 9 - 3*n - n**2 = 0 for n.
3
Suppose -5*s = -3*s. Let y = -6/5 + 28/15. Factor s + 2/3*m - y*m**2.
-2*m*(m - 1)/3
Suppose -5*l + 0*l = -15. Suppose -22 = -l*f + 2*g, -f - 4*f = 5*g + 5. Let 4*y**4 + 2*y**5 + 0*y**3 - 4*y**f - 2*y**2 + 2*y**4 - 2*y**3 = 0. What is y?
-1, 0, 1
Let t be (-25)/(-60) - (-2)/8. Find j, given that -t*j**2 - 4/3 - 2*j = 0.
-2, -1
Let h(s) be the third derivative of 2*s**7/105 + s**6/30 - s**5/15 - s**4/6 + 60*s**2. What is f in h(f) = 0?
-1, 0, 1
Determine c so that -1/5*c + 0*c**2 + 1/5*c**3 + 0 = 0.
-1, 0, 1
Let i(j) be the third derivative of j**8/1176 - j**7/735 - j**6/210 - 16*j**2. Factor i(n).
2*n**3*(n - 2)*(n + 1)/7
Factor 7*i + i**3 + 7*i - 8 - 6*i**2 - 2*i.
(i - 2)**3
Find j such that -2*j + 23*j**4 - 60*j**2 + 11*j - 59*j**4 + 114*j**3 - 27*j**5 = 0.
-3, 0, 1/3, 1
Let c be (-4)/(-6)*9/2. What is l in -1 + l**4 - l**c + 1 = 0?
0, 1
Let i(g) = g**3 - 7*g**2 - 9*g + 8. Suppose -9 = -3*c + b + 18, -4*c = 5*b - 17. Let f be i(c). Factor f*q + 2/7*q**3 + 0 + 0*q**2.
2*q**3/7
Suppose 0*i**3 + 2/11*i**5 - 2/11*i + 0 + 4/11*i**4 - 4/11*i**2 = 0. What is i?
-1, 0, 1
Suppose 3*v + 4*d = -12, -2*d = -v + 2 + 4. Let p(k) be the first derivative of -1/14*k**4 + 1 + 2/21*k**3 - 2/35*k**5 + 1/7*k**2 + v*k. Solve p(o) = 0.
-1, 0, 1
Let w(d) be the third derivative of -1/336*d**8 + 0*d**5 + 0*d**4 - 1/280*d**7 + 0 + 6*d**2 + 0*d**3 + 0*d + 1/480*d**6. Solve w(x) = 0.
-1, 0, 1/4
Let c(w) be the first derivative of -3*w**5 - 35*w**4/4 + 10*w**2 - 21. Suppose c(q) = 0. What is q?
-2, -1, 0, 2/3
Suppose 0 = 36*f - 32*f - 8. Suppose 2*n + o = -0*o + f, -3*n + 3*o + 12 = 0. Solve -2*d**n + 1/2 - 1/4*d - 5/4*d**3 = 0 for d.
-1, 2/5
Let j(r) be the third derivative of -1/1008*r**8 + 0*r - 1/9*r**5 + 1/63*r**7 + 10*r**2 - 5/72*r**6 + 32/9*r**3 + 10/9*r**4 + 0. What is t in j(t) = 0?
-1, 4
Let b(w) = -w**3 + 8*w**2 - 5*w - 10. Let f be b(7). Suppose 12 - 4 = f*l. Factor 3/2*n + 1 + 1/2*n**l.
(n + 1)*(n + 2)/2
Determine w so that 6*w**3 + 15/7*w**2 - 6/7*w + 0 - 36/7*w**5 - 15/7*w**4 = 0.
-1, -2/3, 0, 1/4, 1
Let x(a) be the second derivative of -a**5/4 + 5*a**3/2 - 5*a**2 - 56*a. Find o such that x(o) = 0.
-2, 1
Solve 0*y - 2/5*y**5 + 0*y**3 + 6/5*y**4 + 0 - 8/5*y**2 = 0 for y.
-1, 0, 2
Let y(c) be the third derivative of c**8/42 - 2*c**7/21 + c**6/10 + c**5/15 - c**4/6 - 13*c**2. Solve y(l) = 0.
-1/2, 0, 1
Let n(r) be the first derivative of -4*r**6/27 - 14*r**5/45 - r**4/9 + 2*r**3/27 - 5. Factor n(p).
-2*p**2*(p + 1)**2*(4*p - 1)/9
What is n in 8/5*n**3 - 2/5*n**4 - 36/5*n + 0 + 6/5*n**2 = 0?
-2, 0, 3
Suppose 0 = 3*n + 2*n - 2*x - 10, 4*n - 1 = 3*x. Let h(k) be the first derivative of 4/3*k**6 + 0*k + n*k**3 + 13/2*k**4 + 2 + k**2 + 24/5*k**5. Factor h(o).
2*o*(o + 1)**2*(2*o + 1)**2
Let r(u) be the first derivative of u**4/18 - 2*u**3/27 - 5*u**2/9 - 2*u/3 - 3. Factor r(h).
2*(h - 3)*(h + 1)**2/9
Let u(g) be the third derivative of -11*g**6/1080 + 13*g**5/540 - g**4/108 - 26*g**2. What is y in u(y) = 0?
0, 2/11, 1
Let i(v) be the third derivative of -v**5/60 - 7*v**4/24 - v**3 - 13*v**2. Factor i(q).
-(q + 1)*(q + 6)
Let j = -5 + 7. Factor 7*w**5 + 2*w**2 + 11*w**4 - 7*w**j - 9*w**3 - 6*w**4 + 2*w.
w*(w - 1)*(w + 1)**2*(7*w - 2)
Let g(d) be the first derivative of -3*d**5/40 + 13*d**4/24 - 4*d**3/3 + d**2 - 3*d + 2. Let x(h) be the first derivative of g(h). Suppose x(p) = 0. What is p?
1/3, 2
Let s be (-40)/(-15) - (2 + -1 + 1). Factor 0*z**2 + 0*z**3 + 2/3*z**5 + 0*z + s*z**4 + 0.
2*z**4*(z + 1)/3
Let p be (16/(-20))/((-2)/5). Let i(w) = w - 5. Let z be i(7). Factor 11*x**2 - 8 - 16*x - p*x**z + x**2.
2*(x - 2)*(5*x + 2)
Let 0 - 2/3*r**2 - 1/3*r**3 + r = 0. What is r?
-3, 0, 1
Let x(z) be the third derivative of 2*z**2 + 0 - 59/525*z**7 - 2/75*z**5 + 0*z**4 + 0*z - 1/24*z**8 - 7/75*z**6 + 0*z**3. Solve x(u) = 0.
-1, -2/5, -2/7, 0
Let q(k) = -k**2 - k + 1. Let g(l) = 2*l**2 - 18*l + 13. Let s(t) = -g(t) + 3*q(t). Solve s(w) = 0.
1, 2
Let o(h) be the third derivative of -1/12*h**3 + 1/16*h**4 - 1/40*h**5 + 0*h - 2*h**2 + 1/240*h**6 + 0. Determine t, given that o(t) = 0.
1
Let o(u) = 9*u**4 - 64*u**3 - 48*u**2 + 337*u - 217. Let h(f) = -f**4 + 8*f**3 + 6*f**2 - 42*f + 27. Let r(i) = -51*h(i) - 6*o(i). Find v such that r(v) = 0.
-5, 1
Let k(l) be the second derivative of -7*l**4/6 - l**3/3 + 6*l**2/7 + 5*l. Suppose k(i) = 0. What is i?
-3/7, 2/7
Let z(l) be the third derivative of 0 - 1/60*l**5 + 1/12*l**4 + 0*l + 0*l**3 + 7*l**2. Solve z(w) = 0.
0, 2
Let c = 5 + -3. Find w such that 0*w**2 + 4*w**2 - 4*w - 5*w**2 - c - w**2 = 0.
-1
Let p(k) be the first derivative of -k**8/1344 + k**7/840 + k**6/240 + k**2/2 - 1. Let a(f) be the second derivative of p(f). Suppose a(c) = 0. Calculate c.
-1, 0, 2
Let g(c) be the first derivative of 1 + 0*c**2 + 2/3*c**3 - 2*c. Factor g(n).
2*(n - 1)*(n + 1)
Let l = 4 - 1. Let y(h) be the second derivative of -2*h - 1/60*h**6 + 0*h**5 + 0*h**l + 1/24*h**4 + 0*h**2 + 0. Factor y(w).
-w**2*(w - 1)*(w + 1)/2
Suppose 30 = 3*p + 24. Factor -p*u**2 + 0 - 2/3*u**4 + 2*u**3 + 2/3*u.
-2*u*(u - 1)**3/3
Let k(i) be the third derivative of -i**6/360 + i**5/60 - i**4/36 - 5*i**2. Let k(m) = 0. What is m?
0, 1, 2
Let s = -3 - -5. What is f in -48*f**2 - s*f - 89*f**3 + 25*f**3 - 5 - 10*f + 4 = 0?
-1/4
Find a, given that -1/4*a**3 + 0*a + 0 - 1/4*a**2 = 0.
-1, 0
Let l(x) = 9*x**3 + 12*x**2 + 9*x. Let r(t) = t**5 + t**4 + 18*t**3 + 23*t**2 + 19*t. Let w(s) = -7*l(s) + 3*r(s). Factor w(c).
3*c*(c - 2)*(c + 1)**3
Let u be (-40)/(-12) - 3/9. Let h(d) be the first derivative of 7/5*d**5 + d**3 + 2 + 0*d + u*d**4 - d**2. Solve h(g) = 0.
-1, 0, 2/7
Factor 4/7*u**2 + 18/7*u**5 + 26/7*u**3 + 40/7*u**4 + 0 + 0*u.
2*u**2*(u + 1)**2*(9*u + 2)/7
Let -1/10*n**2 + 3/5*n - 9/10 = 0. Calculate n.
3
Let y(x) be the first derivative of x**8/224 - x**6/80 - 7*x**2/2 - 6. Let q(n) be the second derivative of y(n). Factor q(l).
3*l**3*(l - 1)*(l + 1)/2
Let t(k) be the third derivative of -k**6/120 - k**5/60 + k**4/24 + k**3/6 - 3*k**2. Factor t(h).
-(h - 1)*(h + 1)**2
Let n = -5 - -8. Suppose 5*t + 3*t - 2*t**n - 5*t - t + 2*t**2 - 2*t**4 = 0. What is t?
-1, 0, 1
Factor -3*a - 15/7*a**3 