Let a be ((-2)/5)/((-8)/(-52)) - -3. What is y in 0 + 2/5*y**4 + 2/5*y - 2/5*y**3 - a*y**2 = 0?
-1, 0, 1
Let h(l) = -l - 3. Let p be h(-7). Factor 2*f**3 + 3*f + f**2 + f - 2*f**p + f**2 - 6*f.
-2*f*(f - 1)**2*(f + 1)
Let f(o) = -3*o**3 - o**2 - o - 1. Let d be f(-1). Let -t**d + 0*t - 1/2*t**4 + 0 + 3/2*t**3 = 0. What is t?
0, 1, 2
Let o(k) be the first derivative of -k**7/1050 - k**6/300 + k**4/60 + k**3/30 + k**2 + 6. Let b(h) be the second derivative of o(h). Solve b(f) = 0.
-1, 1
Let r(y) be the third derivative of -y**6/720 - y**5/90 - y**4/36 + 6*y**2. Factor r(t).
-t*(t + 2)**2/6
Let c(k) be the second derivative of k**8/3360 - k**7/945 - k**6/270 - k**4/3 + 4*k. Let n(w) be the third derivative of c(w). Let n(a) = 0. What is a?
-2/3, 0, 2
Let f be 4 - 5/(15/12). Find u such that 0*u + f + 2/5*u**2 = 0.
0
Let s(i) be the second derivative of 4*i - 2/45*i**5 - 2/27*i**3 + 0 + 5/54*i**4 + 0*i**2 + 1/135*i**6. Factor s(n).
2*n*(n - 2)*(n - 1)**2/9
Let z(s) = s**5 + 6*s**4 + s**3 - 6*s**2 + 4*s. Let l(b) = -b**5 - 12*b**4 - b**3 + 12*b**2 - 8*b. Let h(g) = -6*l(g) - 10*z(g). What is x in h(x) = 0?
-1, 0, 1, 2
Let s(w) be the third derivative of 11*w**8/112 - 12*w**7/35 + 3*w**6/8 - w**5/10 + 8*w**2. What is q in s(q) = 0?
0, 2/11, 1
Let g = -8 + 11. Solve -2*c**2 - 15*c**2 + 2 - 38*c**g + 14*c**3 - 5*c**2 + 4*c = 0.
-1, -1/4, 1/3
Suppose -5*c = 5*u, 0 = -3*c + 3*u + 2*u + 40. Suppose -c*h - 5 + 15 = 0. Factor 2*x + 2*x**4 - 1 - x + 1 - h*x**2 - x**5.
-x*(x - 1)**3*(x + 1)
Let m be -2 - (0 - 3)*2. Let k(y) be the first derivative of -2 + 6/5*y**5 + y + 13/4*y**2 + 31/6*y**3 + m*y**4. Solve k(s) = 0 for s.
-1, -2/3, -1/2
Let -4/7*u + 8/7*u**2 - 4/7*u**3 + 0 = 0. What is u?
0, 1
Find l, given that 8*l**5 + 71*l**4 - 123*l**4 + 32*l**3 + 80*l**4 + 12*l**2 = 0.
-3/2, -1, 0
Let s(y) = -3*y**2 - 33*y - 24. Let d(q) = -3*q**2 - 34*q - 23. Let l(x) = 3*d(x) - 4*s(x). Solve l(v) = 0 for v.
-9, -1
Let a(k) be the second derivative of -k**9/12096 + k**7/1680 - k**5/480 + k**3 + 4*k. Let b(r) be the second derivative of a(r). Suppose b(l) = 0. Calculate l.
-1, 0, 1
Let f be -1*(-5)/(200/6). Let z(w) be the second derivative of 0*w**2 + 0*w**3 + 0 + 0*w**4 + 3*w - f*w**5. Solve z(s) = 0.
0
Factor 2/9*y + 2/9 - 2/9*y**3 - 2/9*y**2.
-2*(y - 1)*(y + 1)**2/9
Factor 0*l + 18/7*l**3 - 12/7*l**4 + 12/7*l**2 + 0.
-6*l**2*(l - 2)*(2*l + 1)/7
Let p be 170 - (-6)/(0 + 2). Let g = -1209/7 + p. Factor 32/7*k**3 + g*k**5 - 32/7*k - 2*k**4 - 16/7*k**2 + 32/7.
2*(k - 2)**4*(k + 1)/7
Suppose 12*w - 8*w - 16 = 0. Let k(y) be the first derivative of 0*y**2 - 2/5*y - 1 + 2/5*y**3 - 1/5*y**w. Factor k(u).
-2*(u - 1)**2*(2*u + 1)/5
Let t be (1846/(-826) - -2)/1. Let o = 3/59 - t. Factor 0*k**2 + 0 - 2/7*k**3 + o*k.
-2*k*(k - 1)*(k + 1)/7
Let b(w) = -w**4 + 2*w**3 - 2. Let l(n) = 2*n**4 - 2*n**3 + 3. Let t(r) = 3*b(r) + 2*l(r). Let t(u) = 0. Calculate u.
-2, 0
Let r(c) = 2*c**3 - 20*c**2 + 18*c - 7. Let m(f) be the first derivative of f**4/4 - 13*f**3/3 + 6*f**2 - 5*f + 2. Let v(a) = -7*m(a) + 5*r(a). Factor v(t).
3*t*(t - 2)*(t - 1)
Let k = -9 - -11. Find g such that -1 + 3 - 2 + 3*g**k = 0.
0
Let n be 2*1/6*9. Determine u so that -69/2*u**n - 33/2*u**4 - 69/2*u**2 - 33/2*u - 3 - 3*u**5 = 0.
-2, -1, -1/2
Let g be (-28)/5*7/(168/(-40)). Let f(m) be the first derivative of -4 - 59/4*m**4 - g*m**3 - 7*m**5 - 2*m**2 + 0*m. Suppose f(u) = 0. Calculate u.
-1, -2/5, -2/7, 0
Suppose -5*v = -20, 0*v - 16 = -4*i - 2*v. Let k(s) = -3*s**2 + 11*s. Let l(o) = -2*o**2 + 6*o. Let y(n) = i*k(n) - 5*l(n). Factor y(h).
4*h*(h - 2)
Let i(o) be the third derivative of o**7/630 - o**6/180 + o**5/180 - 7*o**2. Factor i(g).
g**2*(g - 1)**2/3
Let f(c) = -2*c**4 - 4*c**3 + 12*c**2 + 8*c - 2. Let g(q) = -2*q**4 - 4*q**3 + 11*q**2 + 8*q - 3. Let x(p) = 5*f(p) - 6*g(p). Factor x(k).
2*(k - 1)**2*(k + 2)**2
Let y be 2*(-2 + 6)/2. Let h = y + -1. Find b, given that -18/7*b**2 + 2*b**h + 0 + 4/7*b = 0.
0, 2/7, 1
Let 64*f**3 - 12*f - 14*f + 3 - 2*f + 32*f**2 + 1 = 0. What is f?
-1, 1/4
Let v = -133 - -133. Factor -2/11*d + v - 14/11*d**2 - 18/11*d**4 - 30/11*d**3.
-2*d*(d + 1)*(3*d + 1)**2/11
Suppose -10 = x - 6*x. Factor 2*v**4 - 5*v**4 + v**3 - 1 + 2*v**x + 1.
-v**2*(v - 1)*(3*v + 2)
What is r in -3/2*r - 1 + 0*r**2 + 1/2*r**3 = 0?
-1, 2
Suppose f - 7 = d, -3*f - 5*d = -0*d - 21. Determine l so that -3 - 4 + 4*l**2 + f = 0.
0
Let n(h) be the first derivative of 0*h**3 - 6/25*h**5 + 0*h - 1/15*h**6 + 0*h**2 - 3 - 1/5*h**4. Factor n(a).
-2*a**3*(a + 1)*(a + 2)/5
Let f be (-196)/(-12) + 2/(-6). Factor -4*i**2 + 2*i**3 + 3*i**5 + f*i**4 - 3*i**5 + 10*i**5.
2*i**2*(i + 1)**2*(5*i - 2)
Suppose 14/11*u**2 + 18/11 + 30/11*u + 2/11*u**3 = 0. What is u?
-3, -1
Factor 2/13*m**4 + 4/13*m**3 - 6/13*m**2 - 8/13*m + 8/13.
2*(m - 1)**2*(m + 2)**2/13
Let j be 3/(-15) + 122/10. Let k = j - 8. Let 1/5*x**2 + 0 - 1/5*x**k + 1/5*x - 1/5*x**3 = 0. Calculate x.
-1, 0, 1
Let k(r) = r - 2. Let b be k(7). Suppose -b*i + 28 = p, -i - 1 + 0 = -2*p. Factor -2*o**3 - 2*o**2 - 2*o**2 - p*o + o.
-2*o*(o + 1)**2
Let v(n) = 2*n**2 - 4*n + 6. Suppose -9 = 3*a + 9. Let w(j) = -2*j**2 - 5. Let c(y) = y. Let s(l) = -3*c(l) - w(l). Let d(o) = a*s(o) + 5*v(o). Factor d(p).
-2*p*(p + 1)
Let y(p) be the third derivative of -p**5/360 + p**4/72 - 17*p**2. Let y(x) = 0. Calculate x.
0, 2
Suppose -5*c + c = -16. Let x(n) be the first derivative of 1/12*n**c - 1/6*n**2 + 1/15*n**5 + 0*n - 1 - 1/9*n**3. Suppose x(s) = 0. Calculate s.
-1, 0, 1
Let l be (20/(-16))/(12/18). Let m = l + 107/40. Solve -m*p + 2/5 + 2/5*p**2 = 0 for p.
1
Suppose -2*f - 2*w + 6 = 0, -f - f + 3*w - 9 = 0. Suppose f = 3*u + 2*u - 70. Factor u*d**2 + 34/3*d**3 + 4/3 + 10/3*d**4 + 22/3*d.
2*(d + 1)**3*(5*d + 2)/3
Let x(w) = 8*w + 84. Let y be x(-10). Factor 0*r**2 + 2/5*r**y - 2/5*r**3 + 0 + 0*r.
2*r**3*(r - 1)/5
Let r(w) be the first derivative of 5*w**3/3 - 20*w**2 + 80*w + 10. Find x such that r(x) = 0.
4
Let b(m) = -2*m + 26. Let y be b(12). Let f(o) be the second derivative of 0 + 49/6*o**4 - y*o + 4*o**2 + 28/3*o**3. Suppose f(r) = 0. What is r?
-2/7
Let l(t) = -5*t**2 - 4*t - 2. Let n(k) = -8*k**2 - 8*k - 5. Let i(m) = 5*l(m) - 3*n(m). Let i(u) = 0. What is u?
-1, 5
Suppose 4*r + 4 = -2*s, 3*r + 4 = 3*s + 4*r. Factor 3*q - 4*q - q**s - 1 + 1.
-q*(q + 1)
Let m(t) = 2*t**2 + 9*t - 2. Let o be m(-5). Let v(d) be the second derivative of 0 - 1/48*d**4 + 1/24*d**3 - o*d + 1/4*d**2. Find y such that v(y) = 0.
-1, 2
Let z be 9/5 - (-2)/10. Suppose 3*m + u = -z*u + 6, -4*u - 19 = -5*m. Factor -10 + 11 + 5*h**3 + 6*h**2 - h**m + 4*h + h**4.
(h + 1)**4
Let l(i) be the second derivative of 1/20*i**5 + 0*i**2 + 0*i**6 - 1/84*i**7 + 3*i + 0 - 1/12*i**3 + 0*i**4. Solve l(j) = 0.
-1, 0, 1
Let m(c) be the second derivative of -c**3/6 - 5*c**2/2 + c. Let n be m(-8). Solve 0 + 2 + 0 - 2*h**n - 2*h**2 + 2*h = 0 for h.
-1, 1
Let i(x) be the third derivative of -x**9/20160 + x**8/6720 + x**5/60 - 4*x**2. Let u(t) be the third derivative of i(t). Factor u(h).
-3*h**2*(h - 1)
Let t be ((-2)/(-50))/((-60)/(-100)). Let g(a) be the second derivative of -4/3*a**2 - 4/9*a**3 + 1/6*a**4 - 2*a + 0 - 1/45*a**6 + t*a**5. Factor g(x).
-2*(x - 2)**2*(x + 1)**2/3
Let b(u) be the second derivative of 3*u**5/100 + u**4/10 + u**3/10 + 25*u. What is a in b(a) = 0?
-1, 0
Let k(i) be the third derivative of i**8/3360 - i**6/720 - 5*i**3/6 - 4*i**2. Let r(c) be the first derivative of k(c). Factor r(a).
a**2*(a - 1)*(a + 1)/2
Suppose -h - 3*h = -172. Let m = h - 299/7. Factor 0 + 0*g + m*g**2 + 6/7*g**4 - 2/7*g**5 - 6/7*g**3.
-2*g**2*(g - 1)**3/7
Suppose 0 = -5*p - 5 - 30. Let h = -3 - p. Suppose 0 - 1/4*j**5 - 1/2*j**h + 0*j + 0*j**2 - 1/4*j**3 = 0. What is j?
-1, 0
Let y(f) be the third derivative of f**8/2016 + f**7/630 + f**6/720 + 3*f**2. Find u such that y(u) = 0.
-1, 0
Let x(p) be the third derivative of -p**7/1680 + p**5/80 + p**4/24 - p**3/2 + 3*p**2. Let a(f) be the first derivative of x(f). Let a(v) = 0. What is v?
-1, 2
Let p(g) be the first derivative of 4*g**3/15 + 18*g**2/5 + 32*g/5 + 1. Factor p(l).
4*(l + 1)*(l + 8)/5
Let o(g) be the second derivative of g**6/210 + g**5/140 - g**4/28 - 5*g**3/42 - g**2/7 + g. Solve o(f) = 0.
-1, 2
Let z(f) be the first derivative of -2*f**5/35 + f**4/14 + 8*f