 + 536*u**3 - 4*u**4 - 526*u**k.
-5*u**2*(u - 1)**2
Let 176/5*g**2 - 16/5*g**3 - 32*g - 46/5*g**4 + 32/5 + 14/5*g**5 = 0. Calculate g.
-2, 2/7, 1, 2
Let j(v) = 7*v**3 + 4*v**2 - v + 1. Let x(y) = y**4 - y**3 + y**2 + y - 1. Let u(z) = 2*j(z) + 2*x(z). What is d in u(d) = 0?
-5, -1, 0
Let u(h) be the third derivative of h**7/1680 - 13*h**6/960 + 11*h**5/160 + 77*h**4/192 - 49*h**3/24 - 4*h**2 - 10*h. Suppose u(d) = 0. What is d?
-2, 1, 7
Let c = 67 - 334/5. Suppose -1/5*r**2 + 0 + c*r**3 + 1/5*r**4 - 1/5*r = 0. Calculate r.
-1, 0, 1
Let u(v) be the second derivative of -v**8/20160 + v**7/7560 + v**4 + 10*v. Let a(p) be the third derivative of u(p). Let a(m) = 0. Calculate m.
0, 1
Let i = -9 - -10. Let d be 155/25 - 5/i. Factor -3/5*w**4 - d*w + 0 + 3/5*w**2 + 6/5*w**3.
-3*w*(w - 2)*(w - 1)*(w + 1)/5
Factor 7*s - 55*s + 6*s**2 - s**3 + 0*s**2 + 9*s**2 - 139 + 75.
-(s - 8)**2*(s + 1)
Let o(t) be the third derivative of t**8/1680 + t**7/210 + t**6/90 - 35*t**4/24 + 5*t**2 + 4*t. Let v(y) be the second derivative of o(y). Factor v(m).
4*m*(m + 1)*(m + 2)
Let t(o) be the third derivative of o**6/420 - o**4/7 + 16*o**3/21 - 2*o**2 + 34. Find c such that t(c) = 0.
-4, 2
Let x = -118 + 134. Suppose -275 - 4*o**3 + 275 - x*o**4 = 0. Calculate o.
-1/4, 0
Suppose 350/3*k + 5/3*k**2 + 6125/3 = 0. What is k?
-35
Factor 3/7*t**3 - 15/7*t + 6/7 + 9/7*t**2 - 3/7*t**4.
-3*(t - 1)**3*(t + 2)/7
Let p(h) = -8*h**4 - 11*h**3 + 8*h**2 - 3*h - 7. Let i(x) = -7*x**4 - 10*x**3 + 7*x**2 - 2*x - 6. Let j(l) = -7*i(l) + 6*p(l). Factor j(y).
y*(y - 1)*(y + 1)*(y + 4)
Let k = 6847/3 - 2281. Factor -1/3*y**2 + 0 - k*y.
-y*(y + 4)/3
Determine c so that -9/5*c**2 + 0*c + 1/5*c**3 + 0 = 0.
0, 9
Let o(i) be the first derivative of -i**6/240 - i**5/120 + i**4/24 - 5*i**2/2 + 7. Let c(u) be the second derivative of o(u). Determine t so that c(t) = 0.
-2, 0, 1
Let d be (-11)/(-45) + (123/90 - 371/318). Factor 2/9*g**2 + 0 + d*g - 2/9*g**3.
-2*g*(g - 2)*(g + 1)/9
Let a(x) = x**2 + 87*x - 267. Let q be a(-90). Factor 2/3*u**q - 4/5*u**2 - 2/15*u**4 - 8/15*u + 16/15.
-2*(u - 2)**3*(u + 1)/15
Let k(w) be the first derivative of 2*w**6/3 - 24*w**5/5 + 3*w**4 + 184*w**3/3 - 216*w**2 + 288*w - 175. Factor k(t).
4*(t - 3)*(t - 2)**3*(t + 3)
Suppose 4*g - 10*g = 0. Suppose g = -4*q - 0*q + 16. Factor -4*a**q + 48*a**3 - 36*a**3 - 3 + a**4 + 12*a - 18*a**2.
-3*(a - 1)**4
Suppose 15*b**3 + 42*b + 59*b**3 + 5*b**4 + 45*b**3 - 145*b**2 - 12*b**3 - 9*b**3 = 0. Calculate b.
-21, 0, 2/5, 1
Let c(g) = g - 4. Let o be c(6). Suppose 17 = 5*s + o. Solve -t**5 - t**5 - 6*t**s + 0*t**2 + 2*t**2 + 6*t**4 = 0.
0, 1
Solve 2*b + 4*b**3 - 2*b**5 - 4*b + 0*b = 0 for b.
-1, 0, 1
Let f(i) = 8*i**2 - 6*i - 20. Let w(g) = 7*g**2 - 5*g - 18. Let h(d) = 3*f(d) - 4*w(d). Factor h(z).
-2*(z - 2)*(2*z + 3)
Solve 385*o**3 - 131*o**5 - 274*o**5 - 16*o**4 + 136*o**4 + 20*o + 103*o**4 - 43*o**4 - 180*o**2 = 0 for o.
-1, 0, 2/9, 1
Let j = -1/5 + 11/30. Factor -1/6*k**3 - j*k**2 + 1/6 + 1/6*k.
-(k - 1)*(k + 1)**2/6
Find x such that 1/5*x**2 - 18/5 + 7/5*x = 0.
-9, 2
Let t be 0/((-20)/90 + (-48)/27). Suppose 2*g**2 - 2*g**4 + 1/6*g**3 + t - 5/6*g**5 + 2/3*g = 0. Calculate g.
-2, -1, -2/5, 0, 1
Suppose 0 = -4*l - 53 + 197. Let i be (-4)/l*(1 - (1 + 10)). Let -2/9*b**3 + 8/9*b**2 - i*b + 4/9 = 0. Calculate b.
1, 2
Let r(z) be the second derivative of z**7/4200 - z**6/600 + z**5/200 - z**4/120 + z**3/2 + 31*z. Let k(c) be the second derivative of r(c). Factor k(m).
(m - 1)**3/5
Suppose -5*g + 4*a + 16 = 66, -3*g - 2*a = 8. Let v(j) = -j**2 - 6*j + 4. Let c be v(g). Let r**2 + r**2 + r + 5*r + c = 0. What is r?
-2, -1
Let h(z) = -3*z**4 - 333*z**3 + 336*z**2 + 2. Let r(u) = -14*u**4 - 1664*u**3 + 1678*u**2 + 11. Let f(w) = -11*h(w) + 2*r(w). Suppose f(t) = 0. What is t?
-68, 0, 1
Let q be (1 + 2)*-1 - (-557)/185. Let b = q + 179/555. Find m such that 3 + b*m**2 + 2*m = 0.
-3
Let y(t) be the first derivative of t**6/6 - 2*t**5/5 + 2*t**3/3 - t**2/2 + 182. Factor y(z).
z*(z - 1)**3*(z + 1)
Let j(u) = -u**2 - u - 1. Let v(l) = 25*l**2 + 13*l + 5. Let s(m) = -13*m**2 - 7*m - 2. Let i(r) = -5*s(r) - 3*v(r). Let y(n) = -4*i(n) + 44*j(n). Factor y(d).
-4*(d + 1)*(d + 6)
Let 4*k + 5 + 7 - k**3 - 10*k + 8*k**2 - 13*k = 0. What is k?
1, 3, 4
Let z(b) be the first derivative of -1/3*b**2 + 0*b - 13 + 1/9*b**3. Factor z(j).
j*(j - 2)/3
Let j be (20 + (-840)/42)*(2/2 - 0). Suppose 1/8*m**2 - 5/8*m + j = 0. What is m?
0, 5
Let z(d) be the first derivative of -d**5/5 + 7*d**4/4 - 14*d**3/3 + 4*d**2 - 76. Determine g, given that z(g) = 0.
0, 1, 2, 4
Let d(y) = 5*y**3 + 13*y**2 + 23*y + 9. Let o(w) = 24*w**3 + 66*w**2 + 116*w + 46. Let h(u) = 14*d(u) - 3*o(u). Factor h(j).
-2*(j + 1)**2*(j + 6)
Let i = 2 + -8. Let u be 12/5 + i/(-10). Factor 6*b**3 - 4*b**u - b**4 - b**3.
-b**3*(b - 1)
Let a(c) = -5*c**2 + 3*c + 8. Let j(b) = 26*b**2 - 15*b - 41. Let x(z) = 11*a(z) + 2*j(z). Factor x(u).
-3*(u - 2)*(u + 1)
Find t such that -1/3*t**2 + 145/9*t + 1/9*t**4 + 98/9 - 49/9*t**3 = 0.
-1, 2, 49
Let h = 16 - 13. Factor m - 3*m + m**4 + 7*m**3 + 0*m**5 - m**2 - m**5 - 4*m**h.
-m*(m - 2)*(m - 1)*(m + 1)**2
Factor -384/7 - 3/7*o**2 + 72/7*o.
-3*(o - 16)*(o - 8)/7
Let t(q) be the third derivative of q**7/1680 - q**6/240 + q**5/120 + q**3/3 - 12*q**2. Let p(w) be the first derivative of t(w). Let p(i) = 0. Calculate i.
0, 1, 2
Let d(g) be the first derivative of -g**3/4 + 27*g**2/8 - 114. Factor d(t).
-3*t*(t - 9)/4
Let m = 152 + -150. Let d(q) be the second derivative of 0*q**3 + 0*q**2 + 0 - 1/3*q**4 - 3/10*q**5 - m*q. Factor d(r).
-2*r**2*(3*r + 2)
Let k(l) be the third derivative of l**8/1344 - l**6/48 + l**5/12 + l**4/3 + 14*l**2. Let i(d) be the second derivative of k(d). Solve i(v) = 0 for v.
-2, 1
Let a(v) = -v**5 - v**3 + v - 1. Let l(t) = -3*t**5 - t**4 - 6*t**3 + 4*t - 4. Let d(h) = -4*a(h) + l(h). Suppose d(i) = 0. Calculate i.
-1, 0, 2
Let y = -7 + 9. Let w = 2 + y. What is h in h + w*h**3 - 2*h**3 - 3*h = 0?
-1, 0, 1
Factor x**3 - 19532 + x + 19532 + 2*x**2.
x*(x + 1)**2
What is i in 34*i**4 + 64*i**3 + 28*i**3 - 31*i**3 - 10*i**5 + 17*i**3 - 20*i + 14*i**2 = 0?
-1, 0, 2/5, 5
Let j(f) = -3*f**3 + 42*f**2 - 141*f + 105. Let h(g) = -6*g**3 + 83*g**2 - 282*g + 210. Let t(x) = 3*h(x) - 5*j(x). Factor t(l).
-3*(l - 7)*(l - 5)*(l - 1)
Find f, given that 1/4*f**3 + 4 - 9/4*f**2 + 3/2*f = 0.
-1, 2, 8
Let c = 17509/24090 + 1/2190. What is z in -16/11 + 10/11*z**3 - c*z + 36/11*z**2 - 16/11*z**4 - 6/11*z**5 = 0?
-2, -2/3, 1
Suppose -4/3 - 28/9*y**2 - 34/9*y + 0*y**3 + 8/9*y**4 + 2/9*y**5 = 0. Calculate y.
-3, -1, 2
Let g = 31 + -20. Factor -13*a**2 + 0*a + a**2 - 4*a**3 + g + 1 + 4*a.
-4*(a - 1)*(a + 1)*(a + 3)
Let r(g) be the third derivative of -g**5/160 - 27*g**4/64 - 25*g**3/8 + 47*g**2. Suppose r(t) = 0. What is t?
-25, -2
Let l be (-3 - 49)*(-10)/4. Suppose 4*w - 34 = l. Factor -w*m - 2*m**3 + 2*m**2 + 41*m.
-2*m**2*(m - 1)
Let o = -107 - -109. Factor -166*u**3 - 144*u - 192 + 45*u**o + 81*u**3 + 82*u**3.
-3*(u - 8)**2*(u + 1)
Let x be (-3)/8 + ((-63)/(-8))/(-3). Let p be 0/((-16)/4) - x. Factor -8/5*u + 4/5*u**2 - 16/5 + 2/5*u**p.
2*(u - 2)*(u + 2)**2/5
Let f(g) be the first derivative of -g**5/60 + g**4/12 - g**3/6 + 11*g**2/2 + 4. Let l(u) be the second derivative of f(u). Let l(t) = 0. Calculate t.
1
Let n(w) = -13*w - 132. Let d be n(-11). Suppose -26*b = -d*b. Factor 4/9*i + 2/3*i**2 + b.
2*i*(3*i + 2)/9
Let i(k) be the third derivative of k**7/42 - 5*k**6/6 - 39*k**5/4 - 245*k**4/6 - 250*k**3/3 + 610*k**2. Find z such that i(z) = 0.
-2, -1, 25
Let u = 57 + -55. Let a(o) be the third derivative of 6*o**u - 11/8*o**4 + 0 + o**3 + 0*o + 9/20*o**5. Let a(x) = 0. Calculate x.
2/9, 1
Suppose -w + 8 + 1 = 0. Let l = -8 + w. Suppose d**3 - 1 + 2*d**2 + l - d**4 = 0. What is d?
-1, 0, 2
Let l = 156407/50 + -3128. Let w(z) be the second derivative of 1/15*z**4 + l*z**5 - 1/15*z**3 + 4/75*z**6 + z + 0*z**2 + 0. Factor w(t).
2*t*(t + 1)**2*(4*t - 1)/5
Suppose 1/11*a**3 - 2/11*a**2 + 1/11*a**4 + 0 + 0*a = 0. Calculate a.
-2, 0, 1
Let f(k) be the first derivative of 2*k**3/21 - 10*k**2/7 + 32*k/7 + 34. Solve f(c) = 0 for c.
2, 8
Let l = 73 + -147. Let h = 74 + l. Solve 0 + h*p - 2/7*p**2 + 2/7*p**3 - 2/7*p**5 + 2/7*p**4 = 0.
-1, 0, 1
Let s(l) be the f