4)*10/(-20). Suppose -3*i = -0*i - h*b, 5*b = 3*i. Determine d, given that 1/4*d**5 + i*d + 0 - 1/2*d**4 + 0*d**2 + 1/4*d**3 = 0.
0, 1
Let a be -8 - ((-1230)/100*2)/3. Determine v so that 0*v**3 + 3/5*v**2 - a*v**4 + 2/5*v + 0 = 0.
-1, 0, 2
Let t(w) = w**4 + 87*w**3 - 968*w**2 + 1680*w - 797. Let z(i) = 86*i**3 - 966*i**2 + 1680*i - 798. Let j(y) = 2*t(y) - 3*z(y). Determine b, given that j(b) = 0.
1, 20
Let x = -18 + 21. Let 0*s + 4*s**2 - 2*s - 2*s**x + 2*s = 0. Calculate s.
0, 2
Let s(z) be the third derivative of z**6/72 + z**5/12 - 5*z**3/3 - 12*z**2. Let u(c) be the first derivative of s(c). Solve u(v) = 0.
-2, 0
Let t(g) be the first derivative of g**3/6 + 17*g**2/4 - 9*g + 139. Factor t(h).
(h - 1)*(h + 18)/2
Suppose -3*a = 5*b - 10, -5*b + 2*a = a + 10. Let z be b*4 + (-198)/(-45). Factor z*c - 4/5 + 6/5*c**2.
2*(c + 1)*(3*c - 2)/5
Let o(a) be the third derivative of a**7/210 + a**6/120 - a**5/15 - a**4/6 + 2*a**2 + 23*a. Suppose o(h) = 0. What is h?
-2, -1, 0, 2
Let d(x) be the second derivative of 1/12*x**4 + 0*x**2 - 1/20*x**5 - 1/18*x**3 - 4*x + 1/90*x**6 + 0. Find y such that d(y) = 0.
0, 1
Factor 110*r - 196*r**2 + 90*r**2 + 200 + 111*r**2.
5*(r + 2)*(r + 20)
Let c = -215 + 219. Let a(v) be the second derivative of 4*v**c + 3*v**2 + 1/14*v**7 + 9/2*v**3 + 3/5*v**6 - 2*v + 21/10*v**5 + 0. Solve a(j) = 0 for j.
-2, -1
Let z(h) be the third derivative of -5*h**8/336 + 4*h**7/21 - 3*h**6/4 + 45*h**4/8 + 75*h**2. Factor z(p).
-5*p*(p - 3)**3*(p + 1)
Let c(o) be the third derivative of o**5/420 - o**4/3 + 56*o**3/3 + 24*o**2 + 11. Factor c(t).
(t - 28)**2/7
Let u be ((-12)/21)/(6/(-21)). Let b be -18*(u + 60/(-9)). Factor -b - 6*q + 72 - 2*q + 4*q**2.
4*(q - 3)*(q + 1)
Suppose 5822 = -16*t + 5854. Factor -9/7 + 9/7*u**t - 3/7*u**3 + 3/7*u.
-3*(u - 3)*(u - 1)*(u + 1)/7
Let z be 20/6 + 4/6. Let g = 129 - 127. Factor 1/4*j**z - 1/4*j**g + 1/4*j**3 + 0*j + 0 - 1/4*j**5.
-j**2*(j - 1)**2*(j + 1)/4
Suppose 5*f - 50 = 2*z - 7*z, -z - 15 = -4*f. Suppose 3*o + 13 = -o + f*x, -4*o + 2 = -2*x. Factor 0 + 4/7*d**2 + 2/7*d + 2/7*d**o.
2*d*(d + 1)**2/7
Let a(z) be the second derivative of 0 + 1/20*z**5 + 5*z + 0*z**2 + 0*z**3 + 1/6*z**4. Factor a(x).
x**2*(x + 2)
Let i = 1581 + -1577. Let w(r) = -r**3 + r**2 - r + 2. Let k be w(0). Solve -7*p**3 - 2 + 7/2*p**i + 10*p + 2*p**5 - 13/2*p**k = 0.
-2, 1/4, 1
Let q(d) be the first derivative of -25*d**3/3 + 155*d**2 - 120*d + 298. Determine u, given that q(u) = 0.
2/5, 12
Factor -5*k**4 + 26 + k**2 + 109 + 90*k**3 + 180*k - 110*k**3 + 29*k**2.
-5*(k - 3)*(k + 1)*(k + 3)**2
Let c be 8 - (-65)/(-13) - 6/(-18). What is d in 2/3*d**2 - c - 8/3*d = 0?
-1, 5
Let f(i) be the second derivative of i**5/100 - i**4/5 + 6*i**3/5 + i - 40. Find u such that f(u) = 0.
0, 6
Let x(j) = 9*j**2 - 111*j + 4. Let i(w) = 17*w**2 - 223*w + 7. Let k(d) = 4*i(d) - 7*x(d). Factor k(t).
5*t*(t - 23)
Let z(v) be the third derivative of v**7/5040 + v**6/720 - v**4/12 - 3*v**2. Let j(l) be the second derivative of z(l). Factor j(c).
c*(c + 2)/2
Let a(s) be the second derivative of -s**8/420 + s**6/30 - s**5/15 + 7*s**3/6 - 8*s. Let l(x) be the second derivative of a(x). Factor l(v).
-4*v*(v - 1)**2*(v + 2)
Let l(s) = s + 16. Let i be ((0 - -13) + 1)/(-1). Let t be l(i). Factor 3*p**t - p - p**2 - p**2.
p*(p - 1)
Let x = -317 - -322. Let h(r) be the first derivative of -3/35*r**x - 4 + 0*r - 3/7*r**3 + 3/14*r**2 + 9/28*r**4. Factor h(t).
-3*t*(t - 1)**3/7
Determine d so that 0 + 196/9*d - 2/9*d**2 = 0.
0, 98
Let n(w) be the first derivative of -w**6/30 - w**5/20 + w**4/4 + w**3/6 - w**2 + 9*w + 7. Let d(u) be the first derivative of n(u). Let d(t) = 0. What is t?
-2, -1, 1
Let b be -7 - (-52)/39*9. Let 0*y - 2/5*y**3 - 2*y**4 + 0 - 6/5*y**b + 2/5*y**2 = 0. What is y?
-1, 0, 1/3
Let a be (-30)/40 + 2/(-8). Let r be (a + (-20)/(-8))*2. Factor -75*s**3 + 75*s**r - 3*s**4 - 6*s + 9*s**2.
-3*s*(s - 1)**2*(s + 2)
Suppose 0 = 10*a + 15*a - 100. Let i(s) be the third derivative of -s**2 + 0*s**3 - 1/4*s**a - 3/20*s**5 + 0*s - 1/40*s**6 + 0. Factor i(k).
-3*k*(k + 1)*(k + 2)
Let h = 12819 + -12816. Determine a, given that -7/5*a**3 - h*a**2 - 13/5*a - 4/5 - 1/5*a**4 = 0.
-4, -1
Let h be (1 + 2)/(23 - (-666)/(-36)). Find d such that -d**2 + h + 1/3*d = 0.
-2/3, 1
Let z(a) be the third derivative of -a**5/420 + a**4/21 + 3*a**3/14 + 61*a**2. Suppose z(c) = 0. What is c?
-1, 9
Let w(l) = l**2 - 7*l + 1. Let x be w(5). Let c be 54/x*2/(-3). Solve 4*m**4 + c*m**4 - 6*m - 2*m**4 - 2 + 0*m**4 + 4*m**3 + 2*m**5 - 4*m**2 = 0 for m.
-1, 1
Let j = 65/2 - 123/4. Factor 0 - 1/2*z**2 + 0*z + j*z**3.
z**2*(7*z - 2)/4
Let p(x) be the first derivative of 8*x - 10 + 196/3*x**3 + 42*x**2. Find g, given that p(g) = 0.
-2/7, -1/7
Let z(n) be the second derivative of 0 + 11*n + 5/6*n**3 + 0*n**2 - 5/12*n**4. Factor z(x).
-5*x*(x - 1)
Let o be (5 + 1)/(-9 - -11). Let b(h) be the first derivative of -1/21*h**o + 3 - 1/28*h**4 + 0*h**2 + 0*h. Let b(u) = 0. Calculate u.
-1, 0
Let o(b) = -341*b**2 - 107*b - 11. Suppose -12 = -17*t + 13*t. Let f(s) = 340*s**2 + 106*s + 10. Let g(c) = t*f(c) + 2*o(c). Factor g(z).
2*(13*z + 2)**2
Suppose 0 = 65*q - 83*q + 54. Solve 2/7*v**q + 16/7*v**4 + 0*v + 32/7*v**5 + 0 + 0*v**2 = 0.
-1/4, 0
Let x(m) be the second derivative of 5*m**4/12 + 50*m**3/3 - 93*m. Let x(v) = 0. What is v?
-20, 0
Let c(f) be the third derivative of 5*f**8/336 + f**7/42 - 3*f**6/4 - 13*f**5/3 - 25*f**4/3 + 4*f**2 + 13*f. Factor c(l).
5*l*(l - 5)*(l + 2)**3
Suppose -4*w = -2*h + 2, 3*w - 10 = -5*h + 8. Suppose 17*m + 29*m = -0*m. Determine k, given that -15/2*k**4 + m*k + 8*k**h + 0 - 2*k**2 = 0.
0, 2/5, 2/3
Let h(s) be the third derivative of -1/108*s**4 + 0*s**3 - 1/135*s**5 - 1/540*s**6 - 21*s**2 + 0 + 0*s. Let h(r) = 0. What is r?
-1, 0
Let u(f) be the third derivative of f**5/140 - 44*f**4/7 + 15488*f**3/7 - 491*f**2. Factor u(d).
3*(d - 176)**2/7
Let l(s) be the third derivative of 1/80*s**6 + 0*s**3 + 0*s**4 + 0 + 0*s + 0*s**5 - 1/140*s**7 - 19*s**2. Factor l(h).
-3*h**3*(h - 1)/2
Suppose -n = 3*n - 5*x - 54, -4*x = 5*n - 88. Let a = n + -13. Factor -a*t**4 - 5*t - 15*t**3 - 31*t - 3*t**3 - 39*t**2 - 12.
-3*(t + 1)**2*(t + 2)**2
Suppose -u + 5*u = 0. Suppose -4*l - 5*o + 5 + 21 = u, l - 12 = -4*o. Suppose -k + 10*k**2 + 10*k - l*k + 5*k**3 = 0. What is k?
-1, 0
Factor -17*v**2 + 62*v**2 + 1625*v - 762*v - 5*v**3 - 803*v - 100.
-5*(v - 10)*(v - 1)*(v + 2)
Suppose -3*r + 0*r = 0. Suppose -5*s = -r*u + u - 2, -4*s - 80 = -4*u. Let 3*i**2 - 4*i**3 - u*i**4 + 5*i**4 - 5*i**3 + 0*i**3 = 0. What is i?
-1, 0, 1/4
Let h(x) be the first derivative of -x**7/280 - x**6/480 - 29*x**2/2 - 10. Let l(n) be the second derivative of h(n). Determine t so that l(t) = 0.
-1/3, 0
Let g(d) = -d**2 - 11*d + 3. Let q be g(-11). Let h be (2 - q) + (3 - -1). Factor 0*z + 0 - 9/5*z**5 + 6/5*z**h + 0*z**2 - 3/5*z**4.
-3*z**3*(z + 1)*(3*z - 2)/5
Factor 1963 - 85*i**3 - 1963 - 58*i**2 + i**5 - 26*i**4.
i**2*(i - 29)*(i + 1)*(i + 2)
Let h be (-15)/(-60) - 11/(-4). Let q(y) be the first derivative of 2/9*y + 7 + 0*y**2 - 2/27*y**h. Factor q(c).
-2*(c - 1)*(c + 1)/9
Determine o so that 22/7*o**2 + 2/7*o**5 + 12/7*o - 16/7 - 6/7*o**4 - 2*o**3 = 0.
-2, -1, 1, 4
Let o(p) be the first derivative of -3/35*p**5 - 3/7*p**3 + 3/14*p**2 + 9/28*p**4 - 4 + 0*p. Factor o(i).
-3*i*(i - 1)**3/7
Suppose q = 1 - 0. Let t be ((-910)/(-100) - q/2) + 1. Suppose -24/5*m + t + 3/5*m**2 = 0. Calculate m.
4
Let s(r) be the third derivative of -1/330*r**5 + r**2 + 0 + 0*r + 2/33*r**3 + 1/132*r**4. Factor s(p).
-2*(p - 2)*(p + 1)/11
Let o(z) = -10*z**2 + 6*z + 5. Let m be o(-4). Let w = 182 + m. Factor -2/9*i**w - 14/9*i - 2/3 - 10/9*i**2.
-2*(i + 1)**2*(i + 3)/9
Let d = 81 - 78. Let o(q) be the first derivative of -1/8*q**4 + 1/6*q**d + 1/4*q**2 + 1 - 1/10*q**5 + 0*q. Find t such that o(t) = 0.
-1, 0, 1
Let j = 105 + -73. Find n, given that -6*n - 20*n - 12*n**4 - 2*n**5 - j*n**2 - 28*n**3 + 8*n - 4 = 0.
-2, -1
Let u(n) be the second derivative of 22*n + 0 + 0*n**2 - 5/48*n**4 + 0*n**3. Factor u(x).
-5*x**2/4
Let f(n) be the second derivative of n**5/60 + 17*n**4/9 + 578*n**3/9 + 48*n - 1. Factor f(w).
w*(w + 34)**2/3
Suppose -f + 277 = 4*f - 2*t, -2*t - 220 = -4*f. Let r = -28 + f. Factor 4*y**2 + 2 - 2 +