?
-1, 1
Let o be (5/(-15))/((-2)/102). Let y = o - 14. What is g in -16/7*g**2 - 2/7 - 8/7*g**y - 10/7*g = 0?
-1, -1/2
Let v(g) be the second derivative of -1/5*g**5 + 1/15*g**6 + 0*g**2 - 3*g + 2/3*g**3 - 1/6*g**4 + 0. Factor v(l).
2*l*(l - 2)*(l - 1)*(l + 1)
Find x, given that 3*x**2 - 3*x**4 - 16*x - 5*x + 21*x = 0.
-1, 0, 1
Let f = 163/45 + -29/9. Let s = 39 + -193/5. Suppose 0*z + f*z**4 + 0 - 2/5*z**3 - s*z**2 + 2/5*z**5 = 0. Calculate z.
-1, 0, 1
Let a = 133 + -131. Factor -a - 2/3*m**2 - 8/3*m.
-2*(m + 1)*(m + 3)/3
Let j(z) be the third derivative of z**2 + 0*z - 1/24*z**4 + 0 - 1/120*z**5 - 1/12*z**3. Find f such that j(f) = 0.
-1
Let l(j) be the second derivative of -j**4/6 - 5*j**3/3 + 6*j**2 - 30*j. Solve l(m) = 0.
-6, 1
Let y = 6 - 2. Suppose 0 = u + 2 - y. Suppose -2*g**4 + 3*g**4 - 4*g**2 + 2*g**u + g**4 = 0. Calculate g.
-1, 0, 1
Suppose 2*t = t + 1. Let b(d) = 6*d - 3. Let v(z) = -z**3 - z + 1. Let o(c) = t*b(c) + 3*v(c). Factor o(u).
-3*u*(u - 1)*(u + 1)
Let x = -436 + 440. What is f in 4/3*f**3 + 0*f + 8/3*f**2 - 2/3 - 4/3*f**5 - 2*f**x = 0?
-1, 1/2, 1
Suppose 2 = -5*k + 22. Factor 4*j**5 - 2 + 10*j**4 - k*j + 10*j**3 - j**5 + 0 - j.
(j + 1)**4*(3*j - 2)
Let j be (-9 - 130/(-14))*(6 - -1). Find v such that -1/3*v**j - v - 2/3 = 0.
-2, -1
Determine r so that -3/5*r**3 - 16/5 - 4*r**2 - 36/5*r = 0.
-4, -2, -2/3
Let s(c) be the first derivative of -2*c**3/21 - 3*c**2/7 - 4*c/7 - 50. Solve s(w) = 0 for w.
-2, -1
Suppose -d - 4*d = 3*g - 19, 20 = 4*d + 4*g. Find c, given that -22*c**4 + 2*c - 4*c**3 - 2*c**d + 2*c**3 + 24*c**4 = 0.
-1, 0, 1
Let x(b) be the third derivative of b**8/336 - b**7/42 + 7*b**6/120 - b**5/20 - 36*b**2. Factor x(d).
d**2*(d - 3)*(d - 1)**2
Suppose 3*r + 0*r - 12 = 0. Let h(u) = -2*u**3 - 2*u**2 - 6*u + 2. Let i(o) = -2*o**3 - 3*o**2 - 6*o + 1. Let c(t) = r*i(t) - 3*h(t). Factor c(l).
-2*(l + 1)**3
Let o be ((-3)/12)/(1/(-12)). Let m(a) be the first derivative of 4*a**2 + 8/3*a + 1 + 2*a**o. Determine c, given that m(c) = 0.
-2/3
Suppose 4*t = -5*s + 41, -3*s + 3*t + 4 + 26 = 0. Suppose s*z = 6*z. Factor 0 - 2/11*x**2 + z*x + 0*x**3 + 2/11*x**4.
2*x**2*(x - 1)*(x + 1)/11
Let z = -40 + 43. Let t(k) be the first derivative of -1 - 2/3*k**z - k**2 + 0*k. What is c in t(c) = 0?
-1, 0
Let y(p) be the third derivative of -1/192*p**8 - 79/480*p**6 + 29/120*p**5 + 0*p - 1/24*p**4 - 1/3*p**3 - 6*p**2 + 0 + 1/21*p**7. What is r in y(r) = 0?
-2/7, 1, 2
Let b(f) be the first derivative of -1/2*f**3 - 1/8*f**4 + 3/10*f**5 + 2 + 1/4*f**2 + 0*f. Factor b(q).
q*(q - 1)*(q + 1)*(3*q - 1)/2
Let b be 0/(-3 - (3 - 8))*-1. Factor b + 4/5*m**2 + 0*m - 2/5*m**3.
-2*m**2*(m - 2)/5
Let r(c) = 5*c**2 + c. Let d be r(-1). Factor -3*g**d + 7*g**2 - 10*g**2 + 6*g**3 + 0*g**4.
-3*g**2*(g - 1)**2
Let l be 3/(24/(-10))*-4. Let i be -4 + 3 - (2 - l). Factor i + 2*h + 1/2*h**2.
(h + 2)**2/2
Let n be (-12)/9*(-12)/5. Find v such that -2*v**4 + 2/5*v**2 + 14/5*v**3 + 2/5*v**5 - n*v + 8/5 = 0.
-1, 1, 2
Let i(f) be the first derivative of -f**3/12 - 3. What is c in i(c) = 0?
0
Let n(y) be the third derivative of 0 + 0*y**5 - 1/24*y**4 + 1/120*y**6 + 0*y**3 + 0*y + y**2. Factor n(u).
u*(u - 1)*(u + 1)
Suppose -5*g + 18 = -3*u, 2*u - 2 = -3*g + 5. Factor 4*c**3 - c**3 + 0*c**3 + c**5 + c**2 + g*c**4.
c**2*(c + 1)**3
Let b be (-24)/(-10)*(-10)/(-2). Suppose 8*s**3 + 8*s - b*s**2 - 3*s**4 - s**4 + 2*s**4 - 2 = 0. What is s?
1
Let r(l) be the second derivative of -l + 0 + 0*l**4 + 1/70*l**5 - 1/21*l**3 + 0*l**2. Factor r(h).
2*h*(h - 1)*(h + 1)/7
Find j such that 5/4*j**2 + 1/4*j**4 - 1/2*j - j**3 + 0 = 0.
0, 1, 2
Let z(v) be the third derivative of 0*v**3 + 0 + 1/168*v**8 + 1/105*v**7 - 1/60*v**6 - 1/30*v**5 + 0*v**4 + 5*v**2 + 0*v. Factor z(b).
2*b**2*(b - 1)*(b + 1)**2
Let r be 1/(-6) - (-6)/12. Factor 0*n**2 - 2/3*n**3 + 0*n**4 + 0 + r*n**5 + 1/3*n.
n*(n - 1)**2*(n + 1)**2/3
Let x(g) be the second derivative of 1/330*g**5 - 2*g**2 - 1/66*g**4 + 0 - 3*g + 0*g**3 + 1/660*g**6. Let h(f) be the first derivative of x(f). Factor h(o).
2*o*(o - 1)*(o + 2)/11
Suppose 1/8*p**5 - 1/4*p**3 + 1/8*p + 5/8*p**4 + 5/8 - 5/4*p**2 = 0. What is p?
-5, -1, 1
Let a(y) = 7*y**2 + 8*y + 1. Let z(b) = 6*b**2 + 8*b + 2. Let l(x) = -2*a(x) + 3*z(x). Factor l(g).
4*(g + 1)**2
Suppose 72 = 6*f - 2*f. Factor 6*u**2 - 4 + u**3 - 30*u**2 + 9*u**3 + f*u.
2*(u - 1)**2*(5*u - 2)
Let g(x) be the first derivative of 4*x**5/45 + 2*x**4/3 + 52*x**3/27 + 8*x**2/3 + 16*x/9 - 14. Determine p so that g(p) = 0.
-2, -1
Let m(o) be the third derivative of 0*o**4 + 0 + 5*o**2 + 0*o**3 + 0*o + 1/1176*o**8 + 0*o**6 - 1/245*o**7 + 2/105*o**5. Factor m(h).
2*h**2*(h - 2)**2*(h + 1)/7
Suppose 0 = 5*y - 4*k + 39, -3*k = y - 6*k + 10. Let z(h) = -h**3 - 7*h**2 + h + 8. Let a be z(y). Determine m so that a - m**2 + 0*m**2 + 0*m**2 = 0.
-1, 1
Let m(q) be the third derivative of q**5/135 - q**4/18 - 16*q**2. Suppose m(f) = 0. Calculate f.
0, 3
Let v(n) be the second derivative of n**5/120 - n**4/72 + 5*n. What is l in v(l) = 0?
0, 1
Let b(m) = m. Let f(p) = 2*p**2 + 14*p + 2. Let v be (3 + -7 - -1) + 2. Let d(t) = v*f(t) + 10*b(t). Suppose d(h) = 0. Calculate h.
-1
Let l be (-3)/(-3) - 4/(-2). Suppose 3*h = -3*k, l*h - h = -k. Determine a, given that -2*a**3 + k + 2/5*a - 6/5*a**4 + 8/5*a**5 + 6/5*a**2 = 0.
-1, -1/4, 0, 1
Let b(i) be the first derivative of -2*i**3/3 - 26*i**2 - 338*i + 22. Find p such that b(p) = 0.
-13
Let a(p) be the first derivative of -p**7/3780 + p**6/405 - p**5/108 + p**4/54 + 2*p**3 + 8. Let l(g) be the third derivative of a(g). Factor l(y).
-2*(y - 2)*(y - 1)**2/9
Let s(f) be the third derivative of -2*f**7/15 + 8*f**6/15 + 17*f**5/15 - f**4 - 10*f**2. Let s(r) = 0. What is r?
-1, 0, 2/7, 3
Let l(w) = -16*w - 128. Let f be l(-8). Factor -2*r + f - 7/2*r**3 - 8*r**2.
-r*(r + 2)*(7*r + 2)/2
Suppose 0 = -23*k + 20*k + 6. Find t such that -2/5*t + 4/5 - 2/5*t**k = 0.
-2, 1
Let g(r) be the third derivative of 0*r + 9/160*r**6 + 4*r**2 + 0 - 1/80*r**5 + 0*r**3 - 3/35*r**7 + 0*r**4 + 1/28*r**8. Factor g(q).
3*q**2*(q - 1)*(4*q - 1)**2/4
Let z(t) = -12*t**2 + 20*t + 14. Let x(m) = -4*m**2 + 7*m + 5. Let l(o) = 14*x(o) - 5*z(o). What is w in l(w) = 0?
0, 1/2
Let f(l) = l**2 + 4*l + 3. Suppose 3*h + 4 = t - 13, -2*t - 2 = 3*h. Let z be f(h). Factor 3*v - z*v - 1 + v**2.
(v - 1)*(v + 1)
Let o(t) be the first derivative of -t**6/75 + t**5/50 + t**4/30 - t**3/15 + 3*t + 1. Let m(f) be the first derivative of o(f). Factor m(x).
-2*x*(x - 1)**2*(x + 1)/5
Find f, given that 4*f + 4*f**2 + 0*f + 56 - 64 = 0.
-2, 1
Let n(m) be the second derivative of -m**7/56 - m**6/15 + m**5/16 + 3*m**4/8 - m**3/6 - m**2 + 21*m. Solve n(y) = 0 for y.
-2, -2/3, 1
Let l(a) be the third derivative of 1/168*a**8 - 1/60*a**6 + 0*a + a**2 + 0 + 0*a**7 + 0*a**5 + 0*a**4 + 0*a**3. Factor l(z).
2*z**3*(z - 1)*(z + 1)
Let b be (40/25*10/18)/2. Suppose 5*g - 12 = 2*w, 5*g - 4 = 4*w - 0*g. Factor 0*v**2 - b*v - 2/9*v**w + 4/9*v**3 + 2/9.
-2*(v - 1)**3*(v + 1)/9
Let i(m) be the second derivative of -m**5/60 - m**4/9 - m**3/6 + 4*m. Let i(v) = 0. Calculate v.
-3, -1, 0
Let l(d) be the third derivative of -d**7/735 + d**6/105 - d**5/70 - d**4/21 + 4*d**3/21 - 6*d**2. Let l(p) = 0. Calculate p.
-1, 1, 2
Suppose 0 = 5*u - 4*j - 12, 2 + 4 = 5*u - 2*j. Factor -2/11*n**5 - 2/11*n**4 + 0 + 0*n + u*n**3 + 0*n**2.
-2*n**4*(n + 1)/11
Suppose g = -3*f + 4 - 1, g = 3*f + 3. Let k(w) be the first derivative of 1 + 4/11*w + 2/11*w**g + 7/11*w**2. Suppose k(l) = 0. What is l?
-2, -1/3
Suppose 0 = 3*b - b. Suppose -u + b*u = -8. Determine i so that -5*i**2 - 7*i + 4*i**2 + u*i = 0.
0, 1
Let v(p) be the third derivative of 2*p**7/105 - p**6/30 - p**5/15 + p**4/6 + 8*p**2. Factor v(r).
4*r*(r - 1)**2*(r + 1)
Let m(g) be the third derivative of g**8/2016 - g**7/140 + 7*g**6/720 + g**5/40 - g**4/18 - 27*g**2. Factor m(o).
o*(o - 8)*(o - 1)**2*(o + 1)/6
Let l be (3 + (-9)/3)/(-2 + 3). Factor 7/4*x**2 - 2*x**3 + l + 3/4*x**4 - 1/2*x.
x*(x - 1)**2*(3*x - 2)/4
Let l = 32 - 32. Let c(y) be the second derivative of 0*y**2 + 3*y + l - 1/6*y**4 + 1/6*y**3 + 1/20*y**5. Factor c(j).
j*(j - 1)**2
Let w = -470 - -474. Factor 0 + 3*f**2 + 6/5*f - 3/5*f**5 - 3/5*f**w + 9/5*f**3.
-3*f*(f - 2)*(f + 1)**3/5
Suppose -3*d - d = -60. Let n(t) = -5 - 26*