u + 177*u**2 = 0. Calculate u.
-1/5, 1/21
Suppose -4*k + 3*t = -37, 2*k - 8 = -0*k - 2*t. Suppose k*m = 3*m + 12. Factor -z**m + 0*z + 3*z**2 + 5 - z**4 + z - 7.
-(z - 1)**2*(z + 1)*(z + 2)
Let r be (4/10)/((-5)/(-25)). Factor -i**5 + 8*i**2 - 3*i**4 - 3*i + 1 + 2*i**3 - 5 + r*i - i**4.
-(i - 1)**2*(i + 1)**2*(i + 4)
Let m(b) be the second derivative of 1/45*b**5 + 0*b**2 - 1/135*b**6 + 0 - 1/54*b**4 + 0*b**3 - 12*b. Solve m(u) = 0.
0, 1
Find q such that -3/4*q**5 + 39/4*q**3 - 21/4*q**2 - 15/4*q**4 + 0 + 0*q = 0.
-7, 0, 1
Let w(u) be the second derivative of u**5/4 + 5*u**4/12 - 10*u**3/3 - 10*u**2 + 2*u - 90. What is o in w(o) = 0?
-2, -1, 2
Determine v, given that 65 + 3*v**2 - 13*v - 80 + v = 0.
-1, 5
Let 1/2 + 1/4*n - 1/4*n**3 - 3/4*n**2 + 1/4*n**4 = 0. Calculate n.
-1, 1, 2
Let v be (22/2)/1 + 0. Let u = v - 8. What is g in 0*g**2 + 2*g**u + 3*g**2 - g**2 = 0?
-1, 0
Let n be 3/21 - (-39)/21. Factor -7*c**3 - 8*c**2 + 7*c**3 + n*c**3 + 6*c.
2*c*(c - 3)*(c - 1)
Let r = 11487/4 + -24733/12. Determine f so that 416/3*f**3 - 4096/3 - r*f**2 + 1/3*f**5 - 11*f**4 + 2048*f = 0.
1, 8
Let u(r) be the third derivative of -1/72*r**4 + 0*r - 1/60*r**5 - 10*r**2 + 1/6*r**3 + 1/360*r**6 + 0. Factor u(b).
(b - 3)*(b - 1)*(b + 1)/3
Let z be (-69 - -82) + 124/(-10). Determine g so that 3*g**3 + 9/5*g + z*g**4 + 0 + 21/5*g**2 = 0.
-3, -1, 0
Let h = 232 + -229. Let q(o) be the third derivative of 0*o**h + 0 + 1/240*o**6 + 1/48*o**4 + 1/60*o**5 + 4*o**2 + 0*o. Factor q(m).
m*(m + 1)**2/2
Let v be 3/65 - -6*1/39. Factor 0 + 1/5*l**2 - v*l.
l*(l - 1)/5
Factor -5*g**4 - 2554 + 2554 + 0*g**2 - 5*g**5 + 5*g**3 + 5*g**2.
-5*g**2*(g - 1)*(g + 1)**2
Let d = -2191 + 6577/3. Find r such that -6*r**2 + 10/3*r**3 - 14/3*r**5 + d*r + 6*r**4 + 0 = 0.
-1, 0, 2/7, 1
Suppose -119*g + 122*g = 666. Let k = 1114/5 - g. Let 5*d**2 - 11*d**3 - 9/5*d**5 + 39/5*d**4 - k + 4/5*d = 0. Calculate d.
-1/3, 2/3, 1, 2
Suppose 7*r - 50*r = -559. Let k(i) be the second derivative of 1/27*i**3 + 1/18*i**4 + 0*i**2 + 0*i**5 - 4/135*i**6 - r*i + 0. Factor k(f).
-2*f*(f - 1)*(2*f + 1)**2/9
Let u(l) be the second derivative of -l**6/20 + 3*l**5/40 + 9*l**4/8 + 11*l**3/4 + 3*l**2 + 103*l + 2. Factor u(f).
-3*(f - 4)*(f + 1)**3/2
Suppose -4*u - 40 = -4*g, 3*g + 2*u = -4 + 24. Let i be (-4)/(g/3)*-2. Factor 0*t**3 - 6*t**2 + 3*t**2 - i*t**3.
-3*t**2*(t + 1)
Factor 1/2*r**4 - 1/2*r**3 + 0 - r**2 + 0*r.
r**2*(r - 2)*(r + 1)/2
Suppose -64*r = -6*r. Let s(c) be the second derivative of -11*c + r + 3/110*c**5 + 2/33*c**3 + 1/165*c**6 + 0*c**2 - 5/66*c**4 - 1/231*c**7. Factor s(o).
-2*o*(o - 1)**3*(o + 2)/11
Suppose 4*k - 3*k - 2 = 0. Suppose 0 = 26*u - 159 + 29. Let 2*g**k - u*g + g**2 + 11*g - 9 = 0. Calculate g.
-3, 1
Let n(x) be the first derivative of -2/19*x**2 + 0*x - 14 + 18/95*x**5 + 26/57*x**3 - 10/19*x**4. Determine q so that n(q) = 0.
0, 2/9, 1
Let n(p) = 4*p**2 - 2*p + 2. Let i(c) = -9*c**2 + 4*c - 3. Let g(x) = 2*i(x) + 5*n(x). Let j(m) = m + 1. Let b(t) = g(t) - 4*j(t). Determine q so that b(q) = 0.
0, 3
Let n(h) be the second derivative of -1/3*h**3 + 1/42*h**7 + 0*h**2 + 1/4*h**4 - 1/10*h**6 + 1/20*h**5 + 4*h + 0. Factor n(g).
g*(g - 2)*(g - 1)**2*(g + 1)
Let p(s) be the first derivative of s**5/10 - s**3 + 2*s**2 + 2*s + 1. Let h(x) be the first derivative of p(x). Factor h(z).
2*(z - 1)**2*(z + 2)
Let v(z) be the first derivative of z**6/120 - z**5/20 + 17*z**3/3 + 10. Let x(a) be the third derivative of v(a). What is b in x(b) = 0?
0, 2
Let j(u) be the first derivative of -5*u**3/3 - 25*u**2/2 + 30*u + 45. What is d in j(d) = 0?
-6, 1
Find q such that -1529*q**2 - 25*q**3 - 123*q**3 - 176*q - 19 + 1265*q**2 - 28*q**4 - 13 = 0.
-2, -1, -2/7
Let c(d) = 4*d - 21. Let b be c(7). Suppose -b*m + m + 24 = 0. Let 0 + 0*f + 1/3*f**3 + 0*f**2 + 1/3*f**m = 0. What is f?
-1, 0
Let d(h) be the first derivative of -h**6/9 - 2*h**5/15 + h**4/6 + 2*h**3/9 - 94. Factor d(y).
-2*y**2*(y - 1)*(y + 1)**2/3
Suppose 4*p - 23 + 27 = 0. Let k be (2 - (6 + p))*(-6)/36. Suppose 1/2*m**3 + 0 + k*m + m**2 = 0. Calculate m.
-1, 0
Determine a, given that -23*a + 66 + 27*a + 84 - 6*a**2 + 4*a**2 + 40*a = 0.
-3, 25
Let b(m) = -4*m**4 + 189*m**3 + 2198*m**2 + 6627*m + 2309. Let l(t) = -5*t**4 + 379*t**3 + 4397*t**2 + 13255*t + 4619. Let i(z) = 5*b(z) - 3*l(z). Factor i(f).
-(f + 4)*(f + 17)**2*(5*f + 2)
Let s be (31 - 27)/(28/3). Let q be 3/(1*15/10). Factor 3/7*y**3 + 3/7 - 3/7*y - s*y**q.
3*(y - 1)**2*(y + 1)/7
Let n(z) = -6*z**3 + 18*z**2 + 25*z + 8. Let f(q) = -q**3 - q**2 + q + 1. Let c(h) = 10*f(h) - 5*n(h). Factor c(s).
5*(s - 6)*(2*s + 1)**2
Let p(i) be the first derivative of -1/9*i**3 + 4*i**2 - 48*i - 1. Suppose p(b) = 0. What is b?
12
Suppose l = -5*y + 6*l - 25, -3*l + 15 = 0. Suppose -p - 3*o - 9 = 0, -p = -3*o - y*o - 15. Factor -6*r**2 - 2*r - 2*r**p - r**3 + 5*r + 6.
-3*(r - 1)*(r + 1)*(r + 2)
Let z = 405/4 - 101. Let r be ((-3)/9)/((-18)/108). Find s such that -z*s**r - 1 + s = 0.
2
Find f, given that -242*f**2 + 129*f + 467*f**2 - 252*f**2 + 30 = 0.
-2/9, 5
Let u(k) be the first derivative of 0*k + 5/2*k**2 + 5/3*k**3 + 5. Suppose u(x) = 0. Calculate x.
-1, 0
Suppose -1345 = 8*d - 193. Let i = -1006/7 - d. Factor 6/7*t + 2/7*t**2 - i*t**4 - 6/7*t**3 + 0.
-2*t*(t - 1)*(t + 1)*(t + 3)/7
Let t = 48308/20335 + 49/1245. Let j = t - 4/49. Find a, given that 0 + j*a**3 - 5/3*a**4 + 0*a - 2/3*a**2 = 0.
0, 2/5, 1
Suppose -4*p - 16 = 0, 0 = -z - p - 4*p - 15. Suppose z*j**2 + 25*j + 18 + 15 - 3 = 0. What is j?
-3, -2
Let h(b) be the first derivative of -b**4/40 - b**3/6 + 17*b**2/20 + 21*b/10 - 115. Find w such that h(w) = 0.
-7, -1, 3
Let a(d) be the second derivative of -d**6/30 + d**5/5 - d**4/2 + 2*d**3/3 - d**2/2 + 29*d + 2. Factor a(c).
-(c - 1)**4
Let g(i) be the second derivative of i**9/15120 - i**8/3360 + i**7/2520 - 5*i**4/12 - 7*i. Let u(t) be the third derivative of g(t). Find b such that u(b) = 0.
0, 1
Let b = -18722/3 - -6242. Find p, given that -20/3*p - b*p**3 - 8/3 - 16/3*p**2 = 0.
-2, -1
Let v(q) be the first derivative of -q**3/3 + 7*q**2 - 62. Factor v(j).
-j*(j - 14)
Let x(j) = 2*j + 30. Let s be x(-11). Suppose s*p - 26 + 2 = 0. Solve -45/4*v + 12*v**p - 3/2 - 18*v**2 = 0 for v.
-1/4, 2
Let a(k) be the second derivative of -5*k - 1/10*k**5 + 1/6*k**4 + 0 + 1/2*k**2 - 1/42*k**7 + 1/2*k**3 - 1/10*k**6. Factor a(y).
-(y - 1)*(y + 1)**4
Find x such that 4 - 10 - 24 + 6*x + 3569*x**2 + x - 3568*x**2 = 0.
-10, 3
Let c(d) be the third derivative of d**5/180 - d**4/72 - 2*d**3/3 - 99*d**2. Suppose c(p) = 0. What is p?
-3, 4
Let d(w) = -w**2 + 14*w - 22. Let x(t) = -2*t**2 + 29*t - 45. Let j(m) = 5*d(m) - 2*x(m). Let j(g) = 0. What is g?
2, 10
Suppose 2/5*m**5 + 0 - 242/5*m - 44/5*m**4 + 48*m**3 + 44/5*m**2 = 0. What is m?
-1, 0, 1, 11
Suppose -w + 0*w = 4. Let c = w - -52. Factor 1 - 5 - c*r**3 - 72*r**2 + 45*r + 0 - 2.
-3*(r + 2)*(4*r - 1)**2
Let t(h) = 2*h**2 - 16*h + 17. Let v = -14 - -21. Let j be t(v). Let -1/2*b**4 + 1/2*b**2 - 1/2*b**5 + 1/2*b**j + 0 + 0*b = 0. Calculate b.
-1, 0, 1
Let n(l) = -5*l**3 - 125*l**2 - 840*l + 5. Let i(o) = o**2 + o + 1. Let y(f) = -5*i(f) + n(f). Determine s, given that y(s) = 0.
-13, 0
Let c = -16 - -18. Factor -c*k**3 - 12 + 45*k + 5*k**3 - 17*k**2 - 4*k**2 - 15.
3*(k - 3)**2*(k - 1)
Let s(v) be the first derivative of -v**4/2 + 4*v**3 - 9*v**2 - 202. Factor s(h).
-2*h*(h - 3)**2
Solve -101/2*q**2 + 7/2*q**4 + 8*q**3 - 36 - 141*q = 0.
-3, -2/7, 4
Solve 25/4*m + 23/2*m**3 + 0 - 3*m**4 - 15*m**2 + 1/4*m**5 = 0 for m.
0, 1, 5
Let c(h) = h**2 - 7*h - 15. Let z be c(9). Solve 5*t**z + 16*t + 7*t**2 + 3*t**2 - 30*t + 19*t = 0.
-1, 0
Suppose -3*y - 4*k = -11, 4*y + 0*k = -k + 19. Let r(s) be the second derivative of 2*s + 1/3*s**3 + 0 - 1/3*s**4 + 2*s**2 - 1/10*s**y. Factor r(j).
-2*(j - 1)*(j + 1)*(j + 2)
Let s(b) be the second derivative of -3*b**5/80 + 11*b**4/16 + 13*b**3/4 - 2*b + 105. What is w in s(w) = 0?
-2, 0, 13
Let l be (4 - -1) + 72/(-24). Let b(h) be the third derivative of 0 + h**l - 2/3*h**3 + 1/60*h**5 + 0*h + 0*h**4. Determine o, given that b(o) = 0.
-2, 2
Factor -128*l**3 + 60*l**4 + 500*l**3 - 2058 - 712*l + 462*l**2 + 3*l**5 - 1199*l.
3*(l - 2)*(l + 1)*(l + 7)**3
Suppose 0 = -5*f + 3*f + 4. Factor 35*w + 9*w**2 + 15*w**f + 7*w**2 - 26*w