rivative of 0*b**2 + 1/130*b**5 + 0 + 0*b**4 + 1/273*b**7 + 0*b**3 - 2*b - 2/195*b**6. Factor i(z).
2*z**3*(z - 1)**2/13
Let b(j) be the first derivative of j**4/5 - 4*j**3/5 + 105. Factor b(r).
4*r**2*(r - 3)/5
Let x(r) be the third derivative of r**5/20 - 42*r**4 + 14112*r**3 - r**2 + 195. Determine g, given that x(g) = 0.
168
Let a(l) be the third derivative of -l**7/350 + 3*l**5/100 - l**4/20 - 60*l**2. Factor a(g).
-3*g*(g - 1)**2*(g + 2)/5
Let w(i) = i**3 - 7*i**2 + 8*i + 1. Let a(m) = m**2 - m - 1. Let t = 1 - 2. Let o be (-2)/4*(12 - 6). Let q(g) = o*a(g) + t*w(g). Find d, given that q(d) = 0.
1, 2
Let k(p) be the first derivative of 13718*p**5/15 - 13357*p**4/6 + 1900*p**3 - 756*p**2 + 144*p + 159. Solve k(t) = 0 for t.
6/19, 1
Let d(x) be the second derivative of -1/180*x**5 - 5*x + 0*x**4 + x**2 + 0 + 0*x**3. Let s(r) be the first derivative of d(r). Factor s(k).
-k**2/3
Let q(s) be the second derivative of 2/3*s**3 - 7/6*s**4 + 0*s**2 + 10*s + 0 + 3/10*s**5 + 8/15*s**6 - 4/21*s**7. Find k, given that q(k) = 0.
-1, 0, 1/2, 2
Let i(c) be the second derivative of -c**8/11760 - c**7/4410 + c**6/252 - c**5/70 - 2*c**4 + 25*c. Let m(k) be the third derivative of i(k). Factor m(t).
-4*(t - 1)**2*(t + 3)/7
Let b(g) be the first derivative of g**6/39 - 6*g**5/65 + 8*g**3/39 + 71. What is r in b(r) = 0?
-1, 0, 2
Let f(l) = l**2. Let t(o) be the first derivative of 4*o**3/3 + 2*o**2 + 2*o - 3. Suppose 2*r + 2 = 4. Let x(n) = r*t(n) - 2*f(n). What is w in x(w) = 0?
-1
Let s be (2/1)/(1 + 0). Let i(f) = -f**3 - 13*f**2 - 4*f - 50. Let c be i(-13). Factor 3 - o**2 + 0 - s*o**c.
-3*(o - 1)*(o + 1)
Let a(u) be the third derivative of u**7/12600 - u**4/2 + 10*u**2. Let d(o) be the second derivative of a(o). Factor d(y).
y**2/5
Suppose 0 = 2*c + 3*p - 7*p + 252, 5*c + p = -630. Let t be (-2)/3 - ((-1200)/c)/(-10). Determine n, given that -2/7*n - 4/7 + t*n**2 = 0.
-1, 2
Let q(h) be the third derivative of 0*h + 1/10*h**6 - 10*h**2 + 0*h**4 - 2/105*h**7 + 0*h**3 + 0 - 2/15*h**5. Factor q(x).
-4*x**2*(x - 2)*(x - 1)
Factor -16/7*t - 2/7*t**2 - 24/7.
-2*(t + 2)*(t + 6)/7
Let q(z) be the second derivative of 0 - 4*z**2 + 4/3*z**3 - 1/6*z**4 - 3*z. Factor q(m).
-2*(m - 2)**2
Let s(i) be the second derivative of -3/4*i**3 - 81/8*i**2 + 0 + 25*i - 1/48*i**4. Factor s(f).
-(f + 9)**2/4
Suppose -11*c**2 + 7 + 14*c**3 + c**4 + 3*c**2 - 13*c + 7*c - 8*c**3 = 0. Calculate c.
-7, -1, 1
Let c(y) = 1150*y**2 - 10 + 4*y - 1149*y**2 + 0. Let j be c(-6). What is g in 4/3*g**2 - 4/3*g**3 + 2*g + 2/3 - j*g**4 - 2/3*g**5 = 0?
-1, 1
Let c(q) be the first derivative of -25*q**3/3 - 15*q**2 + 25*q + 52. Let a(v) = v**2 - v + 1. Let u(f) = -30*a(f) - c(f). Determine m so that u(m) = 0.
1, 11
Let s = 3554 + -3551. Factor 4/7*b**4 + 6/7*b + 4/3*b**s + 32/21*b**2 + 4/21 + 2/21*b**5.
2*(b + 1)**4*(b + 2)/21
Let b(i) = i**4 - 47*i**3 - 156*i**2 - 161*i - 56. Let v(x) = -48*x**3 - 156*x**2 - 160*x - 56. Let c(l) = -4*b(l) + 3*v(l). Factor c(d).
-4*(d - 14)*(d + 1)**3
Let w(d) be the third derivative of d**7/105 + d**6/20 - d**5/15 - d**4 - 8*d**3/3 + 425*d**2. Suppose w(k) = 0. What is k?
-2, -1, 2
Let q(t) be the second derivative of 2*t**6/5 + 2*t**5 - 8*t**4/3 - 47*t. Factor q(i).
4*i**2*(i + 4)*(3*i - 2)
Suppose -8 + 35*h**2 - 56427*h + 56347*h + 28 = 0. What is h?
2/7, 2
Let d(f) = -f**4 + f**3 - f**2 - f - 1. Let o(u) = 10*u**4 - 42*u**3 + 50*u**2 + 90*u + 6. Let s(h) = 6*d(h) + o(h). Solve s(w) = 0 for w.
-1, 0, 3, 7
Let t(c) be the second derivative of 3*c**5/20 + 18*c**4 + 1221*c**3/2 - 4107*c**2 + 4*c + 5. Determine v, given that t(v) = 0.
-37, 2
Let k be (-22)/18 + 1 + 8575/(-252). Let f = k + 701/20. Suppose -1/5*v**2 - 4/5*v - f = 0. Calculate v.
-2
Let f be (-10)/(-2) + 7 + -7. Let s(m) = -2 + f*m**2 + 6*m - 6 + 3*m**2. Let n(t) = -7*t**2 - 6*t + 7. Let x(h) = -4*n(h) - 3*s(h). Find u such that x(u) = 0.
-2, 1/2
Let u(y) = 3*y**3 - y**2 + 6*y + 4. Let z be u(0). Factor -4/7 - 44/7*b**3 - 4/7*b + 16/7*b**z + 36/7*b**2.
4*(b - 1)**3*(4*b + 1)/7
Let o(h) be the first derivative of 25*h**4/16 - 20*h**3/3 + 69*h**2/8 - 9*h/2 - 95. Find b such that o(b) = 0.
3/5, 2
Let n(x) = -x**3 + 3*x**2 + 2*x - 4. Let l be n(3). Let s(i) be the first derivative of -1/2*i**l + 1/9*i**3 + 4 + 2/3*i. Factor s(k).
(k - 2)*(k - 1)/3
Let c = 10 - 22. Let q be (c/(-14))/(100/70). Factor -q*k**2 - 3/5*k + 0.
-3*k*(k + 1)/5
Factor 3*m**5 - 17 + 5*m**5 + 2*m**4 - 71*m - 72*m**3 - 13 - 224*m**2 + 76*m**2 - 41*m.
2*(m + 1)**4*(4*m - 15)
Let w(k) be the third derivative of -k**6/280 - 29*k**5/420 - 65*k**4/168 + 25*k**3/42 - k**2 - 10. Let w(g) = 0. Calculate g.
-5, 1/3
Find i, given that -20/3*i + 4/3*i**2 + 0 = 0.
0, 5
Let x(j) = j**3 + 8*j**2 - 11*j + 6. Let a(i) = 4*i**3 + 25*i**2 - 33*i + 18. Let k(v) = 2*a(v) - 7*x(v). Let k(b) = 0. What is b?
1, 2, 3
Factor 0*x**2 - 12*x**2 - 42 + 38*x**3 + 57*x - 81*x**3 + 40*x**3.
-3*(x - 2)*(x - 1)*(x + 7)
Let p = 3091/3 + -1027. Determine m, given that 2 - 10/3*m - p*m**2 + 4/3*m**4 + 10/3*m**3 = 0.
-3, -1, 1/2, 1
Let f be (5 - -1) + (-15604)/3984 + 1/6. Determine t so that 3/2 - f*t**2 - 3/4*t**3 + 3/4*t**4 + 3/4*t = 0.
-1, 1, 2
Let d = 82 + 36. Find j, given that -d*j**2 + 13*j**2 - 120*j - 284 + 245*j**3 + 264 = 0.
-2/7, 1
Let m(i) be the third derivative of -i**8/2688 - 29*i**7/1680 - 53*i**6/480 - 77*i**5/240 - 101*i**4/192 - 25*i**3/48 - 92*i**2. Let m(z) = 0. What is z?
-25, -1
Let y(r) be the first derivative of -5*r**3/3 - 170*r**2 - 5780*r - 84. Find n, given that y(n) = 0.
-34
Let j be 2 - 1/(-2)*(-24 + 26). Let i = 284/63 + -38/9. Solve i*l**4 + 0 + 2/7*l**j + 0*l - 2/7*l**2 - 2/7*l**5 = 0 for l.
-1, 0, 1
Let c(k) be the first derivative of k**8/6720 - k**7/3360 - k**6/720 - 7*k**3 - 1. Let y(p) be the third derivative of c(p). Factor y(s).
s**2*(s - 2)*(s + 1)/4
Suppose -2*m = 2*b - 52, 0 = 7*m - 12*m - b + 150. Factor -45*c - 49*c**2 + 44*c**2 - m - 9.
-5*(c + 1)*(c + 8)
Let k(w) = w**3 - 7*w**2 - 9*w + 11. Let j be k(8). Factor -248 + j*c**3 + 248.
3*c**3
Let g be (-9)/(-3) - (3 + -357). Let -4*k**2 + 357 - 8*k**4 - g - 12*k**3 = 0. What is k?
-1, -1/2, 0
Suppose -5*i - 5 = 0, -2*d + 4*i = -3*d - 1. Factor 4 - 2*j + 2*j**3 - 3*j**3 + 3*j**d - 4*j**2.
2*(j - 2)*(j - 1)*(j + 1)
Let t = 466/105 - 5/21. Suppose -m = -4*g + 4*m + 46, -g - 14 = 3*m. Factor 6/5 + t*j**3 - 9/5*j**2 - 9/5*j**g - 9/5*j.
-3*(j - 1)**3*(3*j + 2)/5
Let 8/3 - 25/3*u**3 + 12*u + 10*u**2 = 0. What is u?
-2/5, 2
Determine n so that -331*n**3 + 1352*n**2 + 232*n**3 + 3993 + 3*n**4 + 5082*n - 164*n**2 + 201*n**3 = 0.
-11, -1
Let w = -24 - -26. Factor 16*v**w + 32*v**3 + 0*v**2 + 10*v**5 - 6*v**5 + 20*v**4.
4*v**2*(v + 1)*(v + 2)**2
Factor 0 + 1/4*x**2 + 0*x + x**3 + 5/4*x**4 + 1/2*x**5.
x**2*(x + 1)**2*(2*x + 1)/4
Suppose 0 = 4*f - 3*f - 10. Let v = f - 5. Factor 13*p**4 - 9*p**4 + 4*p**v - 10*p**5.
-2*p**4*(3*p - 2)
Let k be (-3)/18 - 29/(-58). Factor 0 + k*g**2 - 1/3*g**4 + 1/6*g + 0*g**3 - 1/6*g**5.
-g*(g - 1)*(g + 1)**3/6
Solve 0 - 11/10*s**3 + 1/2*s**2 + 2/5*s**4 + 1/5*s = 0.
-1/4, 0, 1, 2
Let q(c) be the first derivative of -c**4/12 - c**3/9 + 16*c**2 + 132*c + 69. Determine l so that q(l) = 0.
-6, 11
Let j(x) = -x - 11. Let z be j(4). Let a be (-6)/((-5)/z - 25/3). Factor 3/4 - a*n**2 - 3/4*n**3 + 3/4*n.
-3*(n - 1)*(n + 1)**2/4
Let l(q) = -50*q**4 + 94*q**3 + 26*q**2 + 14*q - 14. Let h(x) = -10*x**4 + 19*x**3 + 5*x**2 + 3*x - 3. Let i(c) = -14*h(c) + 3*l(c). Factor i(s).
-2*s**2*(s - 2)*(5*s + 2)
Let i(c) = -c**3 - 5*c**2 - 2*c - 7. Let l be i(-5). Suppose l*a**2 + 355 + a + a - 2*a**2 - 358 = 0. What is a?
-3, 1
Factor -4*a**2 + 4/9*a**3 - 28/9 + 20/3*a.
4*(a - 7)*(a - 1)**2/9
Let w be ((-1)/(-6) - (-325)/75)/(63/28). Factor 4/7*g + 6/7*g**w + 0*g**3 - 2/7*g**4 + 0.
-2*g*(g - 2)*(g + 1)**2/7
Let h(t) be the third derivative of t**6/840 + t**5/420 - t**4/84 - 32*t**2 - 6. Suppose h(i) = 0. Calculate i.
-2, 0, 1
Let c be -10*(3 - (-102)/(-30)). Let o(z) be the second derivative of -3*z + 0*z**3 - 1/15*z**c + 0*z**2 + 0 + 1/50*z**5. Factor o(m).
2*m**2*(m - 2)/5
Suppose f = 2*z - 13, -4*f + 6*f = -4*z + 6. Let s(p) be the third derivative of -1/150*p**5 + 0*p**3 - 9*p**2 + 0*p + 0 + 0*p**z. Solve s(i) = 0 for i.
0
Let t be 3 - (((-5)/5 - 0) + (-12)/(-15)). Factor 