*3 + 3/14*p**4 - 12/7*p**2 + 3/35*p**5 + 0*p. Find s, given that z(s) = 0.
-2, 0, 2
Factor 30*y**3 - 6250/3*y + 2/3*y**4 + 250*y**2 + 0.
2*y*(y - 5)*(y + 25)**2/3
Suppose 19*w - 271 - 204 = 0. Solve 6*s - 18*s**3 + w*s**3 + 4*s**2 - 2 + s**4 - 13*s**3 - 3 = 0 for s.
-1, 1, 5
Suppose 5*d = 6 - 16. Let b(x) = x**4 - 2*x**3 - x**2. Let a(h) = 667 - h + 670 - 1337. Let o(l) = d*a(l) + b(l). Find r, given that o(r) = 0.
-1, 0, 1, 2
Suppose 822 = 3*g + 15*t - 18*t, 2*g + t - 554 = 0. Let u = 279 - g. Find l, given that 0 - 2/11*l**u + 2/11*l**5 + 2/11*l**4 - 2/11*l**2 + 0*l = 0.
-1, 0, 1
Let w(g) = -g**3 - 2*g**2 + 2*g - 1. Let c(k) = 6*k**3 + 24*k**2 - 9*k - 15. Let x(y) = c(y) + 3*w(y). Solve x(d) = 0.
-6, -1, 1
Factor -40/7*i + 2/7*i**2 + 24.
2*(i - 14)*(i - 6)/7
Let s be (8/(-6))/(10/(-15)). Suppose 9*d - 3*h = 12*d - 39, 0 = d - 3*h + 3. Factor 2*y + 3*y**s - 24 - d*y + y.
3*(y - 4)*(y + 2)
Suppose 2*j + 4 = -o + 1, -2*o + 5*j + 30 = 0. Let b(k) = k**3 + k**2 + k - 2. Let a(i) = -i**4 - i**3 + 3*i - 6. Let f(x) = o*a(x) - 15*b(x). Factor f(u).
-5*u**2*(u + 1)*(u + 3)
Let i(r) be the first derivative of 14 - 32/21*r**6 - 36*r + 25*r**4 - 100/21*r**3 - 318/7*r**2 + 352/35*r**5. Solve i(k) = 0 for k.
-1, -3/4, 1, 7
Let o(u) = 7*u**2 + 173*u + 548. Let y be o(-21). Factor -5/3 - 16/3*p - 1/3*p**4 - 6*p**y - 8/3*p**3.
-(p + 1)**3*(p + 5)/3
Let v(n) be the first derivative of 6*n**6 - 6*n**5 - 19*n**4/2 + 34*n**3/3 + n**2 - 4*n + 949. Find x, given that v(x) = 0.
-1, -1/3, 1/2, 2/3, 1
Let p(u) be the second derivative of -u**7/84 + 23*u**6/60 - 59*u**5/40 - 887*u**4/24 - 70*u**3 + 441*u**2 + 1583*u. Solve p(z) = 0 for z.
-3, 1, 14
Let q(g) be the third derivative of -29*g**5/15 + 67*g**4/2 + 28*g**3/3 - 575*g**2. Factor q(p).
-4*(p - 7)*(29*p + 2)
Let n(p) be the first derivative of -p**3 - 4461*p**2/2 - 12851. Factor n(m).
-3*m*(m + 1487)
Let o(x) be the first derivative of x**7/210 - x**6/24 + x**5/30 + x**4/3 - x**2/2 + 2*x + 128. Let r(s) be the second derivative of o(s). Factor r(w).
w*(w - 4)*(w - 2)*(w + 1)
Let 266*l**2 + 52*l**3 + 576*l + 51*l**4 - 49*l**4 + 118*l**2 = 0. Calculate l.
-12, -2, 0
Solve 832*s - 96 + 791*s - 61*s**2 + 4*s**3 - 43*s**2 - 1427*s = 0 for s.
1, 24
Let m(f) = -f**2 - 31*f - 105. Let b be m(-27). Let p be (-1)/35 + 231/539. Let -2/5*k + 0*k**2 + p*k**b + 0 = 0. Calculate k.
-1, 0, 1
Let m be 226/904 - 1/(-8). Let u(a) be the second derivative of 0 + 3/2*a**3 + 3/80*a**5 - 9*a - m*a**4 - 3*a**2. Solve u(i) = 0.
2
Let h(p) be the first derivative of p**4/4 + p**3/3 - 6*p**2 - 665. Factor h(z).
z*(z - 3)*(z + 4)
Let y(i) be the first derivative of 15/8*i**4 - 58 + 3/10*i**5 - 12*i - 3*i**2 + 3*i**3. Let y(o) = 0. Calculate o.
-2, 1
Suppose 1/2*c**3 - 7*c**2 + 24*c + 0 = 0. Calculate c.
0, 6, 8
Let t(h) be the third derivative of -h**8/80640 - h**7/10080 + h**6/60 - 11*h**5/6 - 18*h**2 - 4. Let u(o) be the third derivative of t(o). Factor u(j).
-(j - 6)*(j + 8)/4
Suppose 3*k = -3*s + 24, 5*s = 3*k - 0*k + 8. Factor 92 - 71*t + 4*t**2 + 28 + 16 + k*t - 9*t.
4*(t - 17)*(t - 2)
Determine s so that 470*s + 163*s - 9*s**3 - 212*s**2 + 6*s**3 + 72 - 100*s**2 - 390 = 0.
-106, 1
Suppose 2*s - 67*c + 69*c + 4 = 0, -5*s + c = -14. Factor 2/3*x**3 + 16/3*x + 0 + 6*x**s.
2*x*(x + 1)*(x + 8)/3
Factor 74/5 + 39/5*w + 1/5*w**2.
(w + 2)*(w + 37)/5
Let l(s) be the third derivative of s**5/30 + 113*s**4/3 + 51076*s**3/3 - 93*s**2. Find z such that l(z) = 0.
-226
Let g(u) = 43*u - 25*u - 20*u. Let t be g(-2). Find j, given that 60*j - t + 8*j - 157*j**2 + 20*j**2 - 152*j**2 = 0.
2/17
Let r be (-9)/(-45)*(-1)/(-9)*2. Let j = r + 4/45. Suppose 4/15*i + j*i**2 + 2/15 = 0. Calculate i.
-1
Let k = -696 - -701. Let g(n) be the third derivative of -16/3*n**3 - 7*n**2 + 0*n + 0 - 1/30*n**k - 2/3*n**4. Determine y, given that g(y) = 0.
-4
Suppose 0 = 25*i - 23 - 77. Solve j**3 + 34*j**i - 79*j**3 - 20*j + 52*j**2 + 68*j**2 - 67*j**3 + 11*j**4 = 0 for j.
0, 2/9, 1, 2
Let d(r) be the first derivative of 0*r**2 - 1/2*r**3 + 0*r**4 + 1/5*r**6 - 15*r + 9/20*r**5 - 9. Let i(f) be the first derivative of d(f). Factor i(b).
3*b*(b + 1)**2*(2*b - 1)
Factor -32/5*k + 176/5 - 44/5*k**2 + 8/5*k**3.
4*(k - 2)*(k + 2)*(2*k - 11)/5
Let r(g) = -126*g + 256. Let d be r(2). Suppose 13*k - 14*k = 0. What is c in 0*c + 1/3*c**d - 1/3*c**3 - 2*c**2 + k = 0?
-2, 0, 3
Let v be (-9)/45 - 2497/(-110). Solve -3/4*d**2 - v*d - 675/4 = 0 for d.
-15
Suppose -168 - 464 = -161*p - 149. Find t, given that 1/2*t**4 + 17/2*t + 17/2*t**2 + p + 7/2*t**3 = 0.
-3, -2, -1
Let h(a) be the second derivative of -11/3*a**3 - 1/10*a**5 - 2*a + 7/6*a**4 + 5 + 5*a**2. Let h(u) = 0. Calculate u.
1, 5
Let 1222 + 30*h**3 - 25*h**3 - 2885*h + 1653 - 303*h**2 + 152*h**2 + 156*h**2 = 0. What is h?
-25, 1, 23
Let p(j) be the first derivative of 40*j**2 - 68*j**2 + 203 - 54*j + j**4 + 6*j**3 + 28*j**2. Factor p(f).
2*(f + 3)**2*(2*f - 3)
Let r(d) be the second derivative of -d**5/45 + d**4/18 + 76*d**2 - 80*d + 2. Let l(b) be the first derivative of r(b). Factor l(p).
-4*p*(p - 1)/3
Suppose -298*z - 8 = -296*z. Let a be z/44*(-49 + 33). Factor 0 - 2/11*k**3 - 32/11*k - a*k**2.
-2*k*(k + 4)**2/11
Suppose -7200*j + 486228*j**2 - 6480 - 2*j**4 - 3*j**4 - 488588*j**2 - 200*j**3 = 0. What is j?
-18, -2
Let b(j) be the first derivative of -j**7/210 + 8*j**6/45 - 32*j**5/15 - 106*j**3/3 + 98. Let r(s) be the third derivative of b(s). Factor r(w).
-4*w*(w - 8)**2
Let n be 50/125 - 1488/(-580). Let k = -401/145 + n. Find s such that -3/10*s**2 + k + 1/2*s = 0.
-1/3, 2
Let r(a) = -85*a - 8. Let f be r(-1). Suppose -3*q + 4*s = -s - f, 4*q - 84 = 2*s. Suppose 1 + 11*o**4 - 5/2*o**5 - 13/2*o - q*o**3 + 16*o**2 = 0. Calculate o.
2/5, 1
Let x = -72 + 10. Let f = 64 + x. Find o such that -3*o**f + o**4 + 2*o + 9 - 18 + 9 = 0.
-2, 0, 1
Suppose -36*z = -32*z - 104. Suppose -q = 12*q - z. What is d in 0*d**3 + 0 + 1/5*d**q - 1/5*d**4 + 0*d = 0?
-1, 0, 1
Let l(y) = y**2 + 7*y + 4. Let i be l(-7). Suppose 0*z + 8 = 4*x + i*z, -4*x + 5*z = -53. Let t**2 - 2*t**2 + 11*t**2 - x*t**2 - 3*t**3 = 0. Calculate t.
0, 1
Let w = -11308 - -11312. Find c such that c**3 + 4/3*c**2 + 0*c + 0 - 1/3*c**w = 0.
-1, 0, 4
Suppose -o + 4*z + 3 + 4 = 0, 2*z + 5 = o. Suppose 9*n = 8*n + o. Determine v so that -53 - n*v + 6*v**2 - 6*v**4 + 3*v**5 + 53 = 0.
-1, 0, 1
Let g(z) = -34076*z + 238534. Let v be g(7). Factor -4/7*a**3 + 960/7 + 92/7*a**v - 544/7*a.
-4*(a - 15)*(a - 4)**2/7
Find w such that -876/7*w**3 + 285/7*w**4 + 3/7*w**5 + 0 + 0*w + 84*w**2 = 0.
-98, 0, 1, 2
Suppose -693/2*g - 1026 - 3/2*g**2 = 0. What is g?
-228, -3
Let u(w) = 23406*w**2 - 615*w + 7. Let h(j) be the second derivative of 23405*j**4/12 - 308*j**3/3 + 4*j**2 + 2*j + 22. Let k(i) = 3*h(i) - 4*u(i). Factor k(l).
-(153*l - 2)**2
Let x(l) = -43*l**4 - 1082*l**3 - 959*l**2 + 8520*l + 12578. Let q(b) = 8*b**4 + 216*b**3 + 192*b**2 - 1704*b - 2516. Let g(v) = 11*q(v) + 2*x(v). Factor g(w).
2*(w - 3)*(w + 2)**2*(w + 105)
Suppose -4840*q**2 - 198*q**4 - 103*q**4 - 6655*q + 1650*q**3 - 2*q**5 + q**5 + 6*q**5 + 141*q**4 = 0. Calculate q.
-1, 0, 11
Factor 51*w + 3/7*w**3 + 549/7 - 27*w**2.
3*(w - 61)*(w - 3)*(w + 1)/7
Factor 5*b**3 - 30 - 129*b**2 - 100*b**2 - 146*b**2 + 65*b + 335*b**2.
5*(b - 6)*(b - 1)**2
Suppose 2*g - 45 = -5*n - 0*g, -5*g = -n - 18. Factor 69*v**4 - 65*v**4 + 35*v**3 + 47*v**2 - n*v - 7*v.
v*(v + 2)*(v + 7)*(4*v - 1)
Suppose 0 = -9*n - 7*n - 7*n - 2*n. Let v(a) be the third derivative of 0*a + 24*a**2 + 4/51*a**3 + n + 7/510*a**5 + 3/340*a**6 - 5/51*a**4. Factor v(s).
2*(s - 1)*(s + 2)*(9*s - 2)/17
Let q be (23 + (-11 - 12))/(-5). Factor -8/15 + q*w + 2/15*w**2.
2*(w - 2)*(w + 2)/15
Suppose 5*b = 5*d, -27*d - 5*b = -24*d - 32. Let y = -718 + 720. Solve 0 - 4/13*u + 4/13*u**d + 6/13*u**3 - 6/13*u**y = 0.
-2, -1/2, 0, 1
Let n = 19493 - 19461. Let l(s) be the third derivative of -1/75*s**5 + 0 + n*s**2 - 1/6*s**4 + 0*s - 8/15*s**3. Find b such that l(b) = 0.
-4, -1
Suppose 0*v + 13*v = 6*v. Let q(h) be the third derivative of v*h - 4*h**2 - 1/8*h**4 - 1/20*h**5 + 0 + 3*h**3. Factor q(z).
-3*(z - 2)*(z + 3)
Let l(q) be the first derivative of 9/26*q**4 + 2/13*q**3 - 8/13*q - 8/13*q**2 + 72. Factor l(r).
2*(r - 1)*(3*r + 2)**2/13
Let i(j) be the first derivat