et t(u) = 0. Calculate u.
-2/7, 0, 1
Let g be 2/(-7) - 25/35. Let d be g + 4 - 57/21. Factor -2/7*u - d*u**5 + 0 - 12/7*u**3 - 8/7*u**2 - 8/7*u**4.
-2*u*(u + 1)**4/7
Let l be ((-15)/25)/(-3)*(-8)/(-4). Factor -8/5*t**2 + 8/5*t + 0 + l*t**3.
2*t*(t - 2)**2/5
Determine i so that 6*i**4 + 108/5*i**2 + 102/5*i**3 - 81/5*i - 162/5 + 3/5*i**5 = 0.
-3, -2, 1
Let p(k) be the third derivative of k**7/210 - k**6/360 + k**4/6 - 5*k**2. Let t(f) be the second derivative of p(f). Factor t(q).
2*q*(6*q - 1)
Let n(j) be the third derivative of -j**8/126 + 13*j**7/105 - j**6/2 - 5*j**5/18 + 69*j**2. Factor n(s).
-2*s**2*(s - 5)**2*(4*s + 1)/3
Let v(x) be the second derivative of x**7/1260 + x**6/360 + x**4/12 + 3*x. Let g(y) be the third derivative of v(y). Factor g(h).
2*h*(h + 1)
Let n(b) be the second derivative of -2*b**7/105 - 14*b**6/75 - 11*b**5/25 - b**4/3 - b + 4. Solve n(v) = 0 for v.
-5, -1, 0
What is i in 3/2*i**2 + 0 + 9/2*i = 0?
-3, 0
Find j such that -8 + 2*j**4 + 6*j**2 - 27*j + 14*j - 8*j**3 + 21*j = 0.
-1, 1, 2
Let c(a) be the second derivative of a**7/126 - 2*a**6/45 + a**5/20 - 19*a. Factor c(g).
g**3*(g - 3)*(g - 1)/3
Let v be 4/(-3)*(-30)/20. Determine q so that -4 + 0*q - 2*q + 2*q**v + q + 3*q = 0.
-2, 1
Let a(u) = -u**3 + 4*u**2 - 3*u + 2. Let g be a(2). Let 0*f**3 + g - 2*f**3 + 6*f + 0*f = 0. Calculate f.
-1, 2
Factor -3*x**2 + 0*x**2 - 24*x - 34 - 14.
-3*(x + 4)**2
Let f(z) be the second derivative of 0*z**2 + 0 - 7/80*z**5 + 3/16*z**4 - 6*z - 1/12*z**3. What is d in f(d) = 0?
0, 2/7, 1
Let q = -204 + 206. Find m such that 0 - 2/5*m**4 + 2/5*m**q + 4/15*m**5 - 2/15*m - 2/15*m**3 = 0.
-1, 0, 1/2, 1
Determine x, given that -2/5*x**3 + 0*x**4 + 2/5*x**5 + 0*x + 0*x**2 + 0 = 0.
-1, 0, 1
Suppose -3*l + 1 = -5. Suppose 2*b = -l*b. Factor 3 - 4*t + 2*t**2 - 1 + b.
2*(t - 1)**2
Suppose -5*g + 2 + 20 = -2*y, -g - 3*y + 1 = 0. Factor -h**3 + 6 + g*h**2 + 8*h**2 + 4*h**3 + 15*h.
3*(h + 1)**2*(h + 2)
Suppose -5*w - 15 = -5*b, -5*b + 27 - 2 = 0. Suppose -2*z - 4 = -5*a, -2 = 2*z - 0*z - 4*a. Find h, given that -1/4*h**4 - 1/4*h**w + 0 + 0*h + 1/2*h**z = 0.
0, 1
Let y(w) = -w. Let d(n) = -5*n**2 - 35*n. Let s(p) = -d(p) + 10*y(p). Find i such that s(i) = 0.
-5, 0
Let k(y) be the second derivative of y**5/15 - y**4/6 - 4*y**3/3 - 3*y**2/2 + 3*y. Let a(b) be the first derivative of k(b). Factor a(c).
4*(c - 2)*(c + 1)
Let m be (-12)/(-10)*(-90)/(-54). Factor 9/2 + 3*n + 1/2*n**m.
(n + 3)**2/2
Let w(s) = s**3 + 21*s**2 - 23*s - 18. Let p be w(-22). Let a(b) be the first derivative of 3/8*b**p + 2/3*b**3 - 1/4*b**2 - b + 1. Let a(o) = 0. Calculate o.
-1, 2/3
Let t be 42/11 - (-8)/44. Let h = -19/12 - -9/4. Find y, given that h*y**4 + t*y**2 - 8/3*y**3 + 2/3 - 8/3*y = 0.
1
Let x be 0/(3*3/(-9)). Suppose 0 - b**3 + 0*b**4 + x*b**2 + 1/2*b**5 + 1/2*b = 0. What is b?
-1, 0, 1
Factor -33*i**3 - 3*i**4 - 48 - 72*i**2 + 16*i**3 + 96*i + 41*i**3.
-3*(i - 2)**4
Let y = -89 - -7. Let l be (-3)/(-12) + y/(-24). Suppose 2/3 + 3*p**2 + l*p = 0. What is p?
-1, -2/9
Let i be 5/24 - (1 + (-9)/8). Determine d, given that 2/3 + d + i*d**2 = 0.
-2, -1
Factor -j + 2*j + j**5 - 2*j**3 + 0*j.
j*(j - 1)**2*(j + 1)**2
Let s = -19 + 9. Let u be (24/s)/(3/(-2)). Determine m so that -8/5*m - u - 2/5*m**2 = 0.
-2
Let u be (-104)/(-91)*(-3 + 34/8). Find v such that -u*v**4 - 4/7 + 2*v**2 + 6/7*v**3 - 6/7*v = 0.
-1, -2/5, 1
Let x(c) be the first derivative of -c**8/6720 + c**7/1680 - c**5/240 + c**4/96 - c**3/3 + 3. Let g(n) be the third derivative of x(n). Factor g(z).
-(z - 1)**3*(z + 1)/4
Let m(t) be the second derivative of t**5/4 + 5*t**4/6 - 5*t**3/2 + 25*t. Factor m(z).
5*z*(z - 1)*(z + 3)
Let s(h) be the third derivative of -h**5/45 - h**4/6 - 4*h**3/9 + 29*h**2. Factor s(q).
-4*(q + 1)*(q + 2)/3
Let h(c) be the second derivative of 5*c**7/42 - c**5 - 5*c**4/6 + 5*c**3/2 + 5*c**2 + 4*c. Suppose h(x) = 0. What is x?
-1, 1, 2
Let z(i) = 3*i**3 + i**2 - i - 5. Let c(x) = -15*x**3 - 4*x**2 + 4*x + 26. Let j(q) = -2*c(q) - 11*z(q). Solve j(p) = 0.
-1, 1
Let t(n) be the third derivative of -1/840*n**8 + 0 + 0*n - 1/525*n**7 + 1/75*n**5 - 1/60*n**4 - 1/15*n**3 + 1/150*n**6 - 2*n**2. Let t(d) = 0. What is d?
-1, 1
Let r = -7/8 + 9/8. Suppose 4 = -5*y - g + 18, 4*y - 4 = g. Factor 1/2*z - 1/4 - r*z**y.
-(z - 1)**2/4
Suppose 81/4*p**2 + 5/2 - 7/2*p**3 - 57/4*p = 0. What is p?
2/7, 1/2, 5
Let n = -441 + 2209/5. Factor -2*a**5 - 2/5*a**3 + 0*a + n*a**2 + 0 - 16/5*a**4.
-2*a**2*(a + 1)**2*(5*a - 2)/5
Let z = -5 + -13. Let v be 2/(-4) + (-15)/z. What is l in 0 - 2/3*l**4 - 1/3*l**5 + 2/3*l**2 + 0*l**3 + v*l = 0?
-1, 0, 1
Let f = 41 - 36. Let d(q) be the third derivative of -1/60*q**4 - 2*q**2 + 1/150*q**f + 0*q**3 + 0 + 0*q. Find w, given that d(w) = 0.
0, 1
Let n be -5*(4 - (-34)/(-8)). Factor 0 + p**4 - 11/4*p**3 + 1/2*p + n*p**2.
p*(p - 2)*(p - 1)*(4*p + 1)/4
Suppose -8*f + 45 = -11. Let m be (-56)/98 - (-4)/f. Let m*g - 2/5*g**2 + 2/5 = 0. Calculate g.
-1, 1
Let v(m) be the first derivative of -m**6/24 + m**4/8 - m**2/8 + 7. Suppose v(a) = 0. Calculate a.
-1, 0, 1
Let 32*p**3 + 60*p + 65*p**2 + 5*p**4 - 2*p**3 - 336 + 356 + 0*p**2 = 0. Calculate p.
-2, -1
Let u(w) be the first derivative of -w**4/22 + 16*w**3/33 - 16*w**2/11 - 45. Suppose u(i) = 0. Calculate i.
0, 4
Let k = 1969/7 + -281. Find p, given that 4/7 + 8/7*p**2 - 10/7*p - k*p**3 = 0.
1, 2
Let w = -4 - -8. Factor -9*n**w + 2*n**2 - 6*n**3 - 10*n**5 + 6*n**5 - 3*n**2.
-n**2*(n + 1)**2*(4*n + 1)
Let c(y) be the first derivative of -8*y + 4 + 4*y**2 - 2/5*y**5 - y**4 + 2*y**3. Determine m, given that c(m) = 0.
-2, 1
Let l be (-19)/133 - 22/(-7). Let k(v) be the third derivative of 1/60*v**5 + 2*v**2 + 1/12*v**4 + 0*v + 0*v**l + 0. Factor k(m).
m*(m + 2)
Let o be (-1 + -1)/((-3)/6) - 4. Factor o*k**2 - 2/7*k**5 - 2/7*k + 0 + 0*k**4 + 4/7*k**3.
-2*k*(k - 1)**2*(k + 1)**2/7
Let i(n) = -29*n**5 + 14*n**4 + 63*n**3 + 16*n**2 - 4*n - 8. Let d(t) = 10*t**5 - 5*t**4 - 21*t**3 - 5*t**2 + t + 3. Let l(u) = -8*d(u) - 3*i(u). Factor l(k).
k*(k - 2)*(k + 1)**2*(7*k - 2)
Let s(b) be the first derivative of -1/12*b**3 - 1/4*b - 1/4*b**2 + 4. Find n, given that s(n) = 0.
-1
Let b(n) be the first derivative of -1/14*n**4 + 2/21*n**3 + 0*n + 2/7*n**2 + 6. Factor b(v).
-2*v*(v - 2)*(v + 1)/7
Suppose 5*a + 0 = -5*l + 25, -2*l - 5 = -3*a. Suppose p = -a*p + 8. Let -5*v**3 - p*v + 2*v**3 - 3*v**2 + 4*v**3 - 2*v**3 = 0. Calculate v.
-2, -1, 0
Let k be 10/15*-6*(-1)/1. Factor 1/5 + 4/5*u**k + 3/5*u - u**2 - 3/5*u**3.
(u - 1)**2*(u + 1)*(4*u + 1)/5
Let s(q) = q - 15. Let d be s(6). Let t = d - -14. What is f in -19/4*f**3 - 12*f**t - 1/2*f**2 - 14*f**4 + 0 + 0*f = 0?
-2/3, -1/4, 0
Let s be (-8 - (0 - 0))/(-115 - -109). Find n, given that -2 + s*n - 2/9*n**2 = 0.
3
Let o(a) be the second derivative of -a**7/4200 + a**5/600 - a**3/3 + 5*a. Let u(s) be the second derivative of o(s). Solve u(v) = 0.
-1, 0, 1
Let o be 14/6 - 2/(5 + -4). Factor -o + 1/3*s**3 - 1/3*s + 1/3*s**2.
(s - 1)*(s + 1)**2/3
Factor -3*t**2 + 0 - 9/2*t + 3/2*t**3.
3*t*(t - 3)*(t + 1)/2
Let r(z) be the third derivative of 1/90*z**5 + 1/9*z**3 + 0 + 0*z - 4*z**2 + 1/18*z**4. Factor r(m).
2*(m + 1)**2/3
Let o be ((-4)/6)/(1/(-3)). Find p, given that -p**o - 2 + 3 - 2 + 2*p = 0.
1
Let 43*g**2 + 4*g**5 - 4*g**4 - 7*g**5 + 3*g**3 - 2*g**4 - 37*g**2 = 0. Calculate g.
-2, -1, 0, 1
Let z(v) be the first derivative of -3*v**8/224 + v**7/35 + v**6/120 - v**5/30 - v**4/48 - 3*v**2 - 1. Let r(g) be the second derivative of z(g). Factor r(t).
-t*(t - 1)**2*(3*t + 1)**2/2
Suppose 0 = 2*i - 5*i + 9. Suppose 0 = 8*c - 13*c. Factor 4/9*y**2 + 0 - 2/9*y**i + c*y.
-2*y**2*(y - 2)/9
Let g(y) be the third derivative of y**6/420 - y**5/210 - 5*y**4/84 - y**3/7 - 5*y**2. Factor g(l).
2*(l - 3)*(l + 1)**2/7
Let f = 66127/15 - 16834/5. Solve -f*k**5 + 16/3 - 4375/3*k**4 + 80/3*k - 200/3*k**2 - 2000/3*k**3 = 0 for k.
-2/5, 1/5
Let w be (-8)/((3 + -1)/(-1)). Suppose -w*k + 6 = -6. Factor 0*p - p**5 - p**4 + 0 - p + p**3 + 2*p**2 - 1 + p**k.
-(p - 1)**2*(p + 1)**3
Suppose -2/5*d**3 + 4/5 - 6/5*d**2 + 2/5*d**4 + 2/5*d = 0. Calculate d.
-1, 1, 2
Let n(b) = -b**2 - 5*b + 8. Let q = -17 - -11. Let m be n(q). Determine u, given that 0 - 1/3*u**m + 1/3*u = 0.
0, 1
Let b(l) be the first derivative of 2/15*l**3 -