*5/300 - q**4/10 - 13*q**3/30 + q**2/2 - 59*q - 16. Let t(f) be the second derivative of h(f). Solve t(p) = 0.
-1, 13
Let f(o) = -27*o**3 + 351*o**2 - 176*o - 562. Let u(w) = -55*w**3 + 695*w**2 - 355*w - 1125. Let x(q) = 5*f(q) - 2*u(q). Factor x(l).
-5*(l - 14)*(l + 1)*(5*l - 8)
Determine o, given that 49*o**3 + 135*o - 53*o - o**5 - 82*o + 0*o**5 + 15*o**4 - 255*o**2 = 0.
-5, 0, 3, 17
Let r(v) = -14*v**3 + 319*v**2 + 265*v - 103. Let f(h) = -14*h**3 + 318*h**2 + 268*h - 104. Let l(j) = -7*f(j) + 8*r(j). Suppose l(n) = 0. Calculate n.
-1, 2/7, 24
Let v(h) be the first derivative of -82 + 9/2*h**2 + 10*h - 1/3*h**3. Suppose v(t) = 0. What is t?
-1, 10
Solve -14/3*m**3 + 88/3*m**2 - 180 + 622*m = 0 for m.
-9, 2/7, 15
Let g(j) = -10*j**5 + 125*j**4 + 25*j**3 + 55*j - 55. Let l = -87 + 93. Let x(u) = -u**5 + 14*u**4 + 3*u**3 + 6*u - 6. Let p(i) = l*g(i) - 55*x(i). Factor p(v).
-5*v**3*(v + 1)*(v + 3)
Let a(v) be the first derivative of -4*v**3/21 + 228*v**2 - 90972*v - 10935. Factor a(h).
-4*(h - 399)**2/7
Suppose z - 24 = -5*z. Let k be z/18 + 160/90. Determine p so that 469*p + 2*p**k + 2*p**3 + 8 + 2*p**2 - 483*p = 0.
-4, 1
Let o(k) be the first derivative of -4*k**5 - 25/2*k**2 + 5/6*k**6 + 10/3*k**3 - 57 + 5*k**4 + 10*k. Factor o(r).
5*(r - 2)*(r - 1)**3*(r + 1)
Let b = 6810 - 6810. Let o(x) be the first derivative of 19 + 1/3*x**2 + 2/3*x**3 + 1/3*x**4 + b*x. Factor o(n).
2*n*(n + 1)*(2*n + 1)/3
Let i = -41 - -9. Let o = -25 - i. Solve -26*f - 9*f**2 + o - 34 + 0*f - f**3 - f = 0.
-3
Factor 0 + 27/2*b - 33*b**2 + 26*b**3 - 7*b**4 + 1/2*b**5.
b*(b - 9)*(b - 3)*(b - 1)**2/2
Let r be -259 + 56 - (0 - -1)*-2. Let q = r + 203. Factor -4/11*a**q + 12/11 - 2*a.
-2*(a + 6)*(2*a - 1)/11
Let r = -120125/2 + 60064. Factor -r*v**4 - 5*v - 10*v**3 + 0 - 27/2*v**2.
-v*(v + 1)*(v + 5)*(3*v + 2)/2
Let w(j) be the third derivative of -j**7/630 - j**6/24 - 13*j**5/60 - 37*j**4/72 - 2*j**3/3 + 76*j**2 - j + 1. Factor w(g).
-(g + 1)**3*(g + 12)/3
Suppose -3*z - 878 = -4*n, -5*n + 2*z + 474 + 620 = 0. Suppose 26 = -n*x + 231*x. Factor 2/7*l + 1/7*l**x - 1/7*l**3 + 0.
-l*(l - 2)*(l + 1)/7
Let i(s) = s**4 + s**3 + s**2 + 1. Let l = 236 + -240. Let t(a) = -2*a**5 - 2*a**4 - 2*a**3 - 6*a**2 - 4. Let h(g) = l*i(g) - t(g). Find d, given that h(d) = 0.
-1, 0, 1
Let y be 0 + 0 - (1 - (1 - -3)). Suppose 333*v - 281*v - 56*v**2 + 4*v**3 + v**y - v**3 = 0. Calculate v.
0, 1, 13
Let c be 34 + 8/(-4)*-2. Let r = 39 - c. Suppose n**4 + 20*n**2 - 5*n**4 - r - 15 + 0*n**2 = 0. Calculate n.
-2, -1, 1, 2
Suppose 5*d = 4*n + 15, -3*d + 8*n = 7*n - 9. Determine j, given that -4*j + 40 + 14*j + 42*j**d - 7*j**3 - 10*j**2 - 71*j - 79*j = 0.
-2, 2/7, 2
Let a(u) = -u**2 + 18*u - 33. Let f be a(15). Let s(v) be the second derivative of 2/3*v**3 + 0 + 3*v**4 - 2*v**2 - 9/5*v**5 + f*v. Factor s(j).
-4*(j - 1)*(3*j - 1)*(3*j + 1)
Let s(n) be the third derivative of -5*n**8/336 - 11*n**7/14 - 179*n**6/24 + 1505*n**5/12 - 570*n**4 + 3610*n**3/3 - 32*n**2 + 3*n. What is r in s(r) = 0?
-19, 1, 2
Let q(h) be the second derivative of -34*h - 1 + 5*h**2 - 2/3*h**3 + 1/30*h**4. Let q(l) = 0. Calculate l.
5
Factor -1/2*r**3 - 20/3 + 17/3*r**2 - 6*r.
-(r - 10)*(r - 2)*(3*r + 2)/6
Let a(b) be the third derivative of b**6/120 - 7*b**5/30 - 37*b**4/8 - 30*b**3 - 1405*b**2. Factor a(d).
(d - 20)*(d + 3)**2
Let y(l) = l**3 - 19*l**2 + 34*l + 3. Let j be y(17). Factor -1/5*q**j - 1/5*q**2 + 0*q + 0.
-q**2*(q + 1)/5
Suppose 1/3*z**5 + 7*z**4 + 24*z**3 + 192 + 32*z - 428/3*z**2 = 0. What is z?
-12, -1, 2
Let t(q) be the first derivative of -25*q**6/2 + 63*q**5 - 261*q**4/2 + 142*q**3 - 171*q**2/2 + 27*q + 3497. Find d, given that t(d) = 0.
3/5, 1
Suppose 0 = t - d - 3, -4*t + 3*d = -0*t - 11. Let l be (-444)/(-84) - (5 - (t - 2)). What is y in l - 1/7*y**2 - 1/7*y = 0?
-2, 1
Let m be (11 + 69/(-6))/(2/(-656)). Let 8*l**5 + 488*l**2 - 14*l**4 - 132 - 92 - m*l**3 + 134 - 228*l = 0. What is l?
-5, -1/4, 1, 3
Suppose 15*k + 44*k + 19*k - 312 = 0. Suppose 0 + 0*c - 1/2*c**5 + 0*c**2 - 1/2*c**3 + c**k = 0. Calculate c.
0, 1
Factor 0*f + 0 + 3/5*f**3 - 501/5*f**2.
3*f**2*(f - 167)/5
Let x(s) be the third derivative of 0*s + 13/40*s**6 - 4/3*s**3 - 223/90*s**5 + 9/70*s**7 + 9*s**2 - 53/18*s**4 - 1. Factor x(u).
(u - 2)*(u + 3)*(9*u + 2)**2/3
Let u(v) be the first derivative of 5/2*v**2 + 10/3*v**3 - 10*v + 54 - 5/4*v**4. Factor u(o).
-5*(o - 2)*(o - 1)*(o + 1)
Factor 496/7*v**3 + 128 + 2/7*v**5 + 1408/7*v**2 + 1824/7*v + 72/7*v**4.
2*(v + 2)**4*(v + 28)/7
Let p(q) be the third derivative of 2*q**7/21 - 11*q**6/30 + 2*q**5/5 - 3262*q**2. What is w in p(w) = 0?
0, 1, 6/5
Let d(o) = -33*o + 179. Let v be d(5). Suppose -33*x + 85 = -v. Find b, given that 324/17*b**x + 162/17*b**4 + 234/17*b**2 + 72/17*b + 8/17 = 0.
-2/3, -1/3
Let x = -9170 + 3016924/329. Let b = 999/658 + x. Factor 27/2 - 12*z - b*z**2.
-3*(z - 1)*(z + 9)/2
Find t such that -2/17*t**3 + 260/17*t**2 + 144 + 1614/17*t = 0.
-3, 136
Let h be (43 - (-2964)/(-60))*1/(12/(-9)). What is s in 0*s + 144/5*s**2 + 1/5*s**4 + 0 + h*s**3 = 0?
-12, 0
Suppose -4 = -5*o + z - 0*z, 0 = 4*o - z - 4. Let y be (-109)/(-9) + (-40 - 966/(-21))*-2. Factor 2/3*w + y*w**2 + o.
w*(w + 6)/9
Let a = -10930 + 10936. Let b(k) be the second derivative of 10*k + 6/5*k**a + 38/5*k**5 + 56/3*k**3 + 0 + 8*k**2 + 53/3*k**4. Factor b(i).
4*(i + 1)**2*(i + 2)*(9*i + 2)
Suppose -2*g + 3*t + t - 40 = 0, -3*g + 5*t = 60. Let m = g + 21. Let -5 - 4*i**2 + m + 0 - 5*i + 13*i = 0. What is i?
1
Let r(o) = o**2 - 13*o + 22. Let f be r(11). Suppose f*d - 3*d = -18. Factor 2*n**3 + 9 - d*n**2 - 2*n + 6 - 9 + 0*n**2.
2*(n - 3)*(n - 1)*(n + 1)
Let q be (14 + -24)/((-2)/3). Factor -76 + 5*j**2 - q - 25*j + 20 - 49.
5*(j - 8)*(j + 3)
Let i(s) be the first derivative of -s**4/12 + 11*s**3/6 + 6*s**2 + 16*s - 20. Let n(r) be the first derivative of i(r). Let n(y) = 0. What is y?
-1, 12
Let j(v) be the first derivative of -v**4/12 - 5*v**3/3 - 9*v**2/2 + 65*v + 171. Let r(x) be the first derivative of j(x). Find b, given that r(b) = 0.
-9, -1
Let x be 30/4*(1430/990)/((-52)/(-24)). Determine r so that -16/15*r**2 - 32/15*r + 2*r**3 + 0 + 2/15*r**x + 16/15*r**4 = 0.
-4, -1, 0, 1
Let b(h) = -h - 3. Let a = 8 - 16. Let v be b(a). Suppose -6*f**5 - 5*f**2 - 3*f**3 - 8*f**4 - 7*f**4 - 12*f**3 + f**v = 0. What is f?
-1, 0
Factor -74861*i + 4*i**2 + 37764*i + 38469*i.
4*i*(i + 343)
Factor 1066*z**2 - 2053*z**2 + 2*z**3 + 72*z + 1017*z**2.
2*z*(z + 3)*(z + 12)
Factor 1/4*u**2 - 87*u - 349/4.
(u - 349)*(u + 1)/4
Let w(z) be the first derivative of 3*z**5/35 - 57*z**4/14 + 55*z**3 - 252*z**2 + 1443. Let w(i) = 0. Calculate i.
0, 7, 24
Let x be -1*4 + (12 - -5) + -10. Solve 8*r**x + 9*r**3 + 36*r - 13*r**3 - 40*r**2 = 0 for r.
0, 1, 9
Suppose -4*g - 54 = 2*k, 7*g = -2*k + 11*g - 78. Let f(w) = w + 36. Let o be f(k). Let 0*m + 0 - 1/2*m**2 - 3/4*m**o - 1/4*m**4 = 0. What is m?
-2, -1, 0
Let h(w) = -10*w**4 - 207*w**3 - 215*w**2 + 235*w + 204. Let d(s) = 4*s**4 + 103*s**3 + 107*s**2 - 115*s - 102. Let u(v) = 7*d(v) + 3*h(v). Factor u(y).
-2*(y - 51)*(y - 1)*(y + 1)**2
Suppose -7 = -2*o + 7. Let t be (-2)/(-3)*(2/(-4) + o). Let 20*g**2 - t*g - 112/3*g**3 + 64/3*g**4 + 1/3 = 0. Calculate g.
1/4, 1
Let y be 44 + -46 - 47/(-7). Let p be (-24)/(-32) + ((-651)/196 - -3). What is o in -p*o**3 + 15/7 + 3*o**2 - y*o = 0?
1, 5
Suppose -8 = 2*j - 3 - 17. Let v(i) be the first derivative of 2*i**5 - 3 - 5/12*i**j + 5*i**2 - 25/3*i**3 - 5/8*i**4 + 20*i. Factor v(s).
-5*(s - 2)**3*(s + 1)**2/2
What is l in 24 + 289/2*l + 177*l**2 + 9/8*l**4 + 461/8*l**3 = 0?
-48, -2, -1, -2/9
Let s(b) = b**2. Let y be -2 + 8 + -2 + -6. Let i(k) = -2*k - 2. Let g(x) = -4*x - 5. Let t(z) = 2*g(z) - 5*i(z). Let c(u) = y*s(u) - t(u). Factor c(o).
-2*o*(o + 1)
Let c(s) = 3*s**5 + 4*s**4 + 7*s**3 - 2*s**2 + 16*s + 2. Let j(n) = -n**5 + n**4 + n**3 + n**2 - 8*n - 1. Let m(t) = -c(t) - 2*j(t). Factor m(z).
-z**3*(z + 3)**2
Let o = -813 - -821. Let s(m) be the first derivative of -18/7*m**2 - 12/7*m - 3/7*m**4 + 15/7*m**3 + o. Factor s(c).
-3*(c - 2)**2*(4*c + 1)/7
Factor 42*g**3 + 41*g**2 - 21*g**3 - 22*g**3 + 113*g**2.
-g**2*(g - 154)
Let j(d) be the second derivative of d**5/20 + 7*d**4/6 - 8*d**3/3 - 112*d**2 - 1471*d. Determine x, given that j(x) 