ermine h, given that 0 + 0*h + s*h**m + 0*h**2 - 2/9*h**4 = 0.
0, 1
Let l(m) = -2*m**3 - 22*m**2 - m. Let g be l(-11). Let -6*s + g*s - 5 + 12*s**2 - 7*s**2 - 5*s**3 = 0. Calculate s.
-1, 1
Find d, given that 32/7 - 2/7*d**2 + 12/7*d = 0.
-2, 8
Let v(o) = o**3 - 2*o + 1. Let u(l) = 6*l**3 + 9*l**2 - 38*l + 27. Let t(p) = -5*u(p) + 35*v(p). Find x such that t(x) = 0.
2, 5
Let s = 2666 + -13234/5. Suppose -24/5*j**2 - 128/5 - s*j - 2/5*j**3 = 0. What is j?
-4
Let j(f) be the third derivative of f**8/8400 - f**7/1400 + f**6/900 + f**3/6 + 2*f**2. Let i(a) be the first derivative of j(a). Determine z so that i(z) = 0.
0, 1, 2
Let a(t) be the third derivative of 2*t**2 + 0 + 1/18*t**3 + 1/360*t**5 + 1/48*t**4 + 0*t. Find m, given that a(m) = 0.
-2, -1
Let x(r) be the second derivative of -2*r**6/15 + r**5/5 + 2*r**4/3 - 160*r. What is q in x(q) = 0?
-1, 0, 2
Let s(g) be the second derivative of 2*g**7/63 - g**5/5 - 2*g**4/9 + 105*g + 1. What is p in s(p) = 0?
-1, 0, 2
Let x = -6727 + 6729. Factor 8/3*g - 4/3 + 5/3*g**x.
(g + 2)*(5*g - 2)/3
Let t(x) = 2*x**2 - 9*x - 13. Let d be t(6). Suppose d*n - 7 = 3. Factor -1/3*l**3 + 2/3 - 1/3*l**4 + l**n + 5/3*l.
-(l - 2)*(l + 1)**3/3
Suppose 1/3*p**2 + 4/3 + 4/3*p = 0. What is p?
-2
Determine v so that -12*v + 4*v**4 + 20*v**3 + 50 - 2 - 47*v - 9*v - 4*v**2 = 0.
-4, -3, 1
Let j = -6 - -22. Let l(s) = -s**2 + 25*s - 144. Let i be l(13). Factor 54*a + 2*a**3 - 49 - i - 9 - 18*a**2 + j.
2*(a - 3)**3
Let y be (-4180)/(-70) - (-4)/14. Let i be (-1)/(((-18)/y)/(3/2)). Factor 0 + 6/5*q**2 + 0*q**3 - 6/5*q**4 + 3/5*q - 3/5*q**i.
-3*q*(q - 1)*(q + 1)**3/5
Suppose -97*l = -85*l - 48. Find j, given that 4/7*j**3 - 2/7*j - 2/7*j**5 + 0*j**l + 0 + 0*j**2 = 0.
-1, 0, 1
Suppose 7*d - 5*d = -y - 1, -5*d = -4*y - 17. Let k be (12 - 5) + -5 - 0/d. Factor -8/7*b - 6/7 - 2/7*b**k.
-2*(b + 1)*(b + 3)/7
Let j(x) be the third derivative of x**7/210 + x**6/120 - x**5/20 - x**4/24 + x**3/3 - x**2 - 45*x. Factor j(h).
(h - 1)**2*(h + 1)*(h + 2)
Suppose 3*i + 24 = -3*q, 2*q - 5*i + 9 + 7 = 0. Let p = q - -12. Find w, given that -1/2*w + w**2 - 1/2 + w**3 - 1/2*w**p - 1/2*w**5 = 0.
-1, 1
Let f = -6859 - -6861. Solve -3/4*l**f + 0*l - 1/4*l**5 + 0 + 1/4*l**3 + 3/4*l**4 = 0 for l.
-1, 0, 1, 3
Let i = -74 - -78. Let g(w) be the second derivative of 0 + 1/10*w**5 - 1/15*w**6 + 1/6*w**i - 1/3*w**3 - 8*w + 0*w**2. What is p in g(p) = 0?
-1, 0, 1
Let l(g) be the third derivative of -2/147*g**7 - 1/105*g**6 + 1/21*g**4 + 8*g**2 + 1/21*g**5 + 0 + 0*g + 0*g**3. Solve l(f) = 0 for f.
-1, -2/5, 0, 1
Let b(r) be the first derivative of -6 + r + 1/2*r**2 - 1/4*r**4 - 1/3*r**3. Factor b(s).
-(s - 1)*(s + 1)**2
What is n in -1/3*n**4 + 7/3*n**2 - 9*n + 6 + n**3 = 0?
-3, 1, 2, 3
Let h(l) be the third derivative of l**6/420 + 2*l**5/105 + 211*l**2. Solve h(o) = 0 for o.
-4, 0
Let f be 28/(-336) - 33/(-180). Solve 0 - 7/10*d**2 - 1/2*d**3 - f*d**4 - 3/10*d = 0.
-3, -1, 0
Let g = 15 + -12. Suppose 0 = 4*a + 4*r - 3*r - 7, 2*a + 3*r - 1 = 0. Factor 22 - 22 + g*q**3 - 6*q**a.
3*q**2*(q - 2)
Suppose -29637*h**4 + 29634*h**4 + 18*h + 0 + 21*h**2 + 0 = 0. What is h?
-2, -1, 0, 3
Let f be (-128)/(-24) + 1/(-3). Suppose f*r = 1 + 9. Factor -q**2 + 6*q - 12 + 15 + 4*q**r.
3*(q + 1)**2
Let a(i) = 3*i**3 - 46*i**2 + 144*i - 124. Let c(z) = -11*z**3 + 182*z**2 - 578*z + 498. Let x(o) = 9*a(o) + 2*c(o). Find v, given that x(v) = 0.
2, 6
Let s(h) be the second derivative of h**6/60 - 13*h**5/40 + 7*h**4/8 + 13*h**3/12 - 11*h**2/2 - 495*h. Solve s(o) = 0 for o.
-1, 1, 2, 11
Let p = 3354 + -23458/7. Factor 50/7 + 2/7*k**2 - p*k.
2*(k - 5)**2/7
Let t(m) = -4*m**3 - 20*m**2 - 26*m + 68. Let s(v) = v**3 - v**2 - v - 2. Let d(h) = 12*s(h) + 2*t(h). Solve d(r) = 0.
-2, 1, 14
Let w = 7779 + -7777. Find b, given that -10/3*b**5 - 13*b**4 - 2/3 - 43/3*b**w - 59/3*b**3 - 5*b = 0.
-1, -1/2, -2/5
Let u be 3/1 + 46236/(-16500). Let c = u - 2/125. Solve c*a**3 + 0 - 4/11*a**2 + 0*a = 0.
0, 2
Let t(r) = -r**2 - 10*r - 13. Let j be t(-8). Let l be (-2)/(-2) - (0 + (-3)/j). Suppose 0 - 3/4*q**3 + 1/2*q + 1/4*q**5 - 1/4*q**l + 1/4*q**4 = 0. Calculate q.
-2, -1, 0, 1
Let z(k) be the third derivative of 3*k**8/224 - k**7/70 - k**6/5 - 7*k**5/20 - 3*k**4/16 + 46*k**2. Suppose z(f) = 0. What is f?
-1, -1/3, 0, 3
Factor -16*y + y**2 - 28 + 101 + 59 + 84*y.
(y + 2)*(y + 66)
Factor -15/4*n + 0 - 4*n**2 - 1/4*n**3.
-n*(n + 1)*(n + 15)/4
Suppose -z + 22 - 4 = 0. Let w = 20 - z. Factor -2 - 3*a**2 + 6 - 3*a**3 + 0*a**2 - 4*a**w.
-(a + 1)*(a + 2)*(3*a - 2)
Let l(j) = j**4 - j**3 - j**2 + 1. Let b(i) = -3*i**5 + 15*i**4 - 12*i**3 - 18*i**2 + 18. Let a(h) = -b(h) + 18*l(h). Suppose a(z) = 0. Calculate z.
-2, 0, 1
Let f(a) be the first derivative of -5/4*a**4 + 0*a**2 + 0*a + 0*a**3 + 17. Factor f(v).
-5*v**3
Let a be 18/20 - (-16)/16. Let z = a + -7/10. Solve 6/5*b**4 - z*b**2 + 0 + 3/5*b**5 + 0*b - 3/5*b**3 = 0.
-2, -1, 0, 1
Let y = 48 - 42. Suppose 2*r - y = -3*m, 5*m + 0*r = r - 3. Solve -2/11*w**4 + 2/11*w - 6/11*w**2 + 6/11*w**3 + m = 0 for w.
0, 1
Let m(v) be the third derivative of v**7/2625 - 17*v**6/1500 + 6*v**5/125 + 19*v**4/15 - 16*v**3/3 - 3*v**2 + 30*v. Let m(y) = 0. What is y?
-4, 1, 10
Let w(l) = -2*l**2 + 2*l + 1. Let g be w(-1). Let u be 2 + 2/(g - -5). What is m in -u - 2*m**4 + 3 + 6*m**2 - 4*m**2 = 0?
-1, 0, 1
Let j(f) = -34*f**2 + 22*f - 3. Let o(c) = -11*c**2 - c - 1. Let h(y) = -j(y) + 3*o(y). Find z, given that h(z) = 0.
0, 25
Let b(d) be the second derivative of -d**4/14 + 23*d**3/21 + 8*d**2/7 - d - 36. Factor b(n).
-2*(n - 8)*(3*n + 1)/7
Let w(j) be the second derivative of -j**5/60 + 29*j**4/36 - 14*j**3/9 - 28*j. Suppose w(p) = 0. What is p?
0, 1, 28
Let z(d) = -d**3 - 20*d**2 - 37*d - 13. Let l(h) = -2*h**3 - 31*h**2 - 56*h - 20. Let g(n) = -5*l(n) + 7*z(n). Factor g(q).
3*(q + 1)**2*(q + 3)
Suppose 32576/7*k**2 - 3024*k**4 + 1024/7 - 3728*k**3 - 10272/7*k + 98*k**5 = 0. What is k?
-2, 2/7, 32
Factor 5/8*g**2 + 0 + 1/8*g**3 + 0*g.
g**2*(g + 5)/8
Let n(f) = f**3 + 3*f**2 - 6*f - 5. Let b be n(-4). Let k be b/(((-3)/(-2))/1). Factor -2*g**3 + g**2 + g**2 - 4*g**k + 0*g**3.
-2*g**2*(g + 1)
Let c(b) be the third derivative of b**7/105 - 7*b**6/180 - b**5/30 + 7*b**4/36 + 4*b**2 + 7*b. Solve c(y) = 0.
-1, 0, 1, 7/3
Factor -300/7 + 45/7*j + 3/7*j**2.
3*(j - 5)*(j + 20)/7
Let z(d) be the first derivative of d**4/6 + 172*d**3/3 + 7396*d**2 + 1272112*d/3 - 241. Factor z(k).
2*(k + 86)**3/3
Suppose 3*n + 6 = -3*u, 4*u + 0*n - 7 = -n. Let j be (u/(-33))/((-4)/8). Factor 2/11*h - 2/11*h**3 - j*h**2 + 2/11.
-2*(h - 1)*(h + 1)**2/11
Let v(a) be the first derivative of 1/10*a**4 - 19/5*a**2 + 28/5*a - 21 + 8/15*a**3. Determine n so that v(n) = 0.
-7, 1, 2
Let -9/2*q**2 + 33/4 - 27/8*q - 3/8*q**3 = 0. What is q?
-11, -2, 1
Let n(q) be the first derivative of 0*q + 1/27*q**6 + 0*q**3 + 2/15*q**5 - 7 + 0*q**2 + 1/9*q**4. Factor n(s).
2*s**3*(s + 1)*(s + 2)/9
Let d be (-2 + (-33)/6)*((-3353)/189 - -17). Factor -4/3 - d*q - 8/9*q**2.
-2*(q + 6)*(4*q + 1)/9
Determine n, given that -3136/3 - 1/3*n**2 - 112/3*n = 0.
-56
Let g(y) be the third derivative of y**2 - 13 + 1/360*y**5 + 0*y + 7/18*y**3 + 5/48*y**4. Factor g(z).
(z + 1)*(z + 14)/6
Let d(i) be the first derivative of i**3 + i**2/6 - 128. Factor d(r).
r*(9*r + 1)/3
Let t(q) be the second derivative of 5*q**4/4 - 44*q**3 - 54*q**2 + 106*q. Solve t(d) = 0.
-2/5, 18
Let a be (-1185)/79 + (-68)/(-4). Factor -3/4 + p - 1/4*p**a.
-(p - 3)*(p - 1)/4
Determine k so that 0 + 12*k**5 - 24*k**4 + 0*k - 3/4*k**3 + 3/2*k**2 = 0.
-1/4, 0, 1/4, 2
Let v(x) = x**2 - 17*x + 18. Let u be v(16). What is s in 3*s + 59*s**2 - 59*s**u - 3*s**3 = 0?
-1, 0, 1
Let z(h) be the third derivative of -1/90*h**5 + 21*h**2 + 0*h + 1/315*h**7 + 1/180*h**6 - 1/36*h**4 + 0*h**3 + 0. Factor z(d).
2*d*(d - 1)*(d + 1)**2/3
Let n = -3975/14 - -284. Let w(f) be the second derivative of -4/21*f**3 + f + 0 + 4/7*f**2 - n*f**4. Factor w(v).
-2*(v + 2)*(3*v - 2)/7
Suppose -3*l - 2*l + 15 = 0. Suppose -r + 8 = l*r. Factor 12 + 0*j**r - 6*j**2 - j**2 + 4*j**2.
-3*(j - 2)*(j + 2)
Let l be ((-2)/5)/(-2) + 282/940. Let x(f) be the first derivative of 11/12*f**3 + l*f - 13/8*f**2 + 3. Suppose x(g) = 0. Calculate g.
2/11, 1
Let k(b) = b - 5. Let u be k(8). Suppose -u*f - 6 = -6*f