z**5/10 - 1857141*z**4/8 - 7177599*z**3/2 - 2*z**2 - 1338*z - 2. Factor v(d).
-3*(d + 11)**2*(d + 39)**3
Let q(f) be the third derivative of -1/3*f**4 + 2*f**3 + 0*f - 1/15*f**5 + 0 + 149*f**2. Solve q(j) = 0.
-3, 1
Let j(p) be the third derivative of -p**7/42 - 13*p**6/24 - 23*p**5/12 - 55*p**4/24 - 172*p**2 - 7*p. Factor j(v).
-5*v*(v + 1)**2*(v + 11)
Find u such that 14*u + 122*u**2 + 1650 - 1026 + 88*u - 119*u**2 = 0.
-26, -8
Let s = -308 - -302. Let z be (((-84)/s)/(-168))/(2/(-16)). Factor 2/9*k**5 - z*k**3 + 8/9*k + 4/9*k**4 - 8/9*k**2 + 0.
2*k*(k - 1)**2*(k + 2)**2/9
Factor 366/5*c**2 - 33489/5*c - 1/5*c**3 + 0.
-c*(c - 183)**2/5
Let d be (0/(16 - 22))/((-3)/(9/12)). Let b(x) be the second derivative of 1/10*x**6 + x + d*x**3 + 0 + 0*x**2 - 1/4*x**4 + 0*x**5. Factor b(l).
3*l**2*(l - 1)*(l + 1)
Solve -93/2*w**2 + 3456 - 1008*w - 1/2*w**3 = 0.
-48, 3
Solve 80*b**2 + 23104 - 3496*b - 1/2*b**3 = 0 for b.
8, 76
Let r be -2 + 8 + -4 - 0/(5 - 18). Factor -1/4*j**4 + 1/2*j**3 + 0*j**r + 0*j + 0.
-j**3*(j - 2)/4
Let p(m) = 10*m**2 + 5*m + 7. Suppose -111 = 12*i - 27. Let s(u) = 7*u**2 + 3*u + 5. Let q(o) = i*s(o) + 5*p(o). Let q(v) = 0. What is v?
-4, 0
Suppose 0 = 2*h + 4*n - 20, 17*h - 16*h - n = -2. Solve 5/3*r**h - 25/3*r**3 + 16/3*r + 4/3 = 0 for r.
-2/5, 1
Let t(v) be the third derivative of -v**7/490 - 9*v**6/140 - 109*v**5/140 - 9*v**4/2 - 14*v**3 + v**2 + 996*v. Factor t(k).
-3*(k + 2)**2*(k + 7)**2/7
Solve 34 - 29/5*b - 1/5*b**2 = 0.
-34, 5
Let x = 366273 - 1098811/3. Determine y so that 4*y - 8/3 + x*y**2 = 0.
-2, 1/2
Determine v, given that -2325/4*v + 190*v**2 + 0 + 5/4*v**3 = 0.
-155, 0, 3
Find j such that -226/3*j**2 - 84 + 46*j**3 + 26*j**4 - 178*j - 4/3*j**5 = 0.
-3/2, -1, 2, 21
Factor -64*t**2 - 66*t**2 + 133*t**2 + 15*t + 23*t + 4*t - 528.
3*(t - 8)*(t + 22)
Let q(d) = -d**3 + 196*d**2 + 407*d + 208. Let g(j) = j**3 + 194*j**2 + 403*j + 207. Let h(p) = 2*g(p) - 3*q(p). Factor h(x).
5*(x - 42)*(x + 1)**2
Suppose -592/13*t**2 + 32/13*t**3 - 302/13*t - 38/13 = 0. Calculate t.
-1/4, 19
Let p = 23119983/11 - 2099179. Let c = 2640 - p. Determine q so that 14/11*q**3 + 2*q**2 + 8/11*q**5 - 2*q - c*q**4 + 4/11 = 0.
-1, 1/4, 1, 2
Let p(k) be the third derivative of -k**8/2016 - 27*k**7/70 - 2187*k**6/20 - 59049*k**5/5 - 2*k**2 - 329. Factor p(x).
-x**2*(x + 162)**3/6
Let z(q) be the first derivative of -4 + 0*q + 3/8*q**2 + 5/16*q**4 - 7/12*q**3 - 1/20*q**5. Factor z(p).
-p*(p - 3)*(p - 1)**2/4
Factor 20/7*r**2 - 414/7 - 87/7*r + 1/7*r**3.
(r - 6)*(r + 3)*(r + 23)/7
Let v(w) = -9*w**2 + 70*w + 1. Let k be v(7). Determine f, given that -32 + f**2 - 101*f + 20*f + k*f = 0.
-1, 32
Let s(o) = 3*o**3 - 137*o**2 + 410*o - 4. Let p(m) = -13*m**3 + 547*m**2 - 1641*m + 18. Let n(c) = -2*p(c) - 9*s(c). Find u, given that n(u) = 0.
0, 3, 136
Let r(q) be the first derivative of q**7/315 + q**6/36 + q**5/30 - 5*q**4/36 - 4*q**3/9 - 23*q**2 + 85. Let l(i) be the second derivative of r(i). Factor l(z).
2*(z - 1)*(z + 1)**2*(z + 4)/3
Determine m, given that 163944/5*m + 793881/5 + 1/5*m**4 + 10246/5*m**2 + 184/5*m**3 = 0.
-81, -11
Let u(d) = d**3 - 6*d**2 - 6*d - 9. Let b be u(7). Let q be ((-10)/40)/(b/16). Let -3*n**q - 13*n + 6 - 4 + 10*n + 4 = 0. What is n?
-2, 1
Find k, given that -2/3*k**5 + 0 - 2*k**2 + 10/3*k**3 - 2/3*k**4 + 0*k = 0.
-3, 0, 1
Determine i, given that 6189 + 2*i**5 - 6189 - 824*i**3 + 460*i**4 + 0*i**5 + 360*i**4 - 820*i**2 + 822*i = 0.
-411, -1, 0, 1
Let p be (4 + 1)/(-1)*36/(-60). Factor -64*s**p - 2 - 22*s + 38*s - 18 + 140*s - 288*s**2.
-4*(s + 5)*(4*s - 1)**2
Let i(n) = -5*n**2 - 18*n + 21. Let c(f) = -8*f**2 - 34*f + 44. Let y(x) = 2*x**2 - 5*x. Let m be y(3). Let d(h) = m*c(h) - 5*i(h). Solve d(t) = 0.
3, 9
Let h be 13 + (-3289)/276 - 30/40. Factor -2/3*w**2 + 14/3*w**4 + 8*w**3 + h*w**5 - 25/3*w - 4.
(w - 1)*(w + 1)**3*(w + 12)/3
Let f = -133305 - -666531/5. Factor 21 - 3/5*l**2 + f*l.
-3*(l - 7)*(l + 5)/5
Let w(z) be the first derivative of -z**6/135 + 11*z**5/360 - z**4/24 - 34*z**3/3 + 2*z + 103. Let x(s) be the third derivative of w(s). Solve x(d) = 0.
3/8, 1
Let h(y) be the first derivative of -2*y**3/39 - 846*y**2/13 - 357858*y/13 + 2246. Factor h(d).
-2*(d + 423)**2/13
Let u = 19599647/45 + -435576. Let t = u + 142/5. Factor 0*v + 0 + 1/3*v**4 - 1/9*v**5 + t*v**2 - 1/3*v**3.
-v**2*(v - 1)**3/9
Factor -2/5*p**2 - 1367858/5 + 3308/5*p.
-2*(p - 827)**2/5
Suppose 2*a + 7112*j = 7117*j + 24, -3*j = 4*a + 4. Determine u so that -4/3 - 2*u - 2/3*u**a = 0.
-2, -1
Let z**2 + 45*z**2 + 104*z + 5*z**3 - 25*z**2 - 100 - 31*z**3 + z**4 = 0. What is z?
-2, 1, 2, 25
Suppose 41*w = -353323 + 361523. Factor -1/2*k**2 - w - 20*k.
-(k + 20)**2/2
Suppose -l + 10 = l. Suppose 4*p - 2*p = l*h, -p = 4*h. Factor -3*x**3 + 5*x**5 - 2*x**5 + p*x**5.
3*x**3*(x - 1)*(x + 1)
Let k(f) be the second derivative of f**7/2520 + f**6/360 - f**4/18 - f**3/3 - 10*f**2 - 38*f. Let w(p) be the second derivative of k(p). Factor w(i).
(i - 1)*(i + 2)**2/3
Let s = 5809 - 5806. Let u(h) be the third derivative of -1/4*h**5 + 10/3*h**s + 6*h**2 + 0 - 1/42*h**7 + 0*h + 1/6*h**6 - 5/6*h**4. Factor u(c).
-5*(c - 2)**2*(c - 1)*(c + 1)
Let m(x) be the second derivative of -5*x**7/273 - x**6/15 + 61*x**5/130 - 7*x**4/78 - 56*x**3/39 + 20*x**2/13 - 4*x - 31. Solve m(j) = 0 for j.
-5, -1, 2/5, 1, 2
Let o(s) be the second derivative of s**6/75 - 349*s**5/50 - 701*s**4/30 - 117*s**3/5 - 2*s - 165. What is l in o(l) = 0?
-1, 0, 351
Let m(v) be the first derivative of 0*v + 0*v**2 + 0*v**3 - 1/3*v**6 - 2/5*v**5 + v**4 + 10. Factor m(r).
-2*r**3*(r - 1)*(r + 2)
Let z(x) be the second derivative of x**6/6 - 11*x**5/4 + 10*x**4 + 30*x**3 - 1324*x. Factor z(b).
5*b*(b - 6)**2*(b + 1)
Let o(z) be the third derivative of -74*z - 4/39*z**4 + z**2 + 19/780*z**6 + 1/65*z**5 + 0 - 3/455*z**7 + 0*z**3. Determine a so that o(a) = 0.
-8/9, 0, 1, 2
Factor -23*m**2 + 15*m**3 + 15*m**3 - 30*m**2 + 3*m**4 + 34*m**2 + 82*m**2.
3*m**2*(m + 3)*(m + 7)
Factor 2/5*w**2 - 36/5 + 1/5*w.
(w - 4)*(2*w + 9)/5
Suppose -3*r - 42 + 57 = 0. Solve -88*v**3 - 16022*v + 7*v**5 + r*v**5 + 16022*v + 124*v**4 = 0 for v.
-11, 0, 2/3
Let u(b) = -b**5 - b**3 - b**2. Let f(n) = 143*n**2 - 22*n**3 + n**5 + n**5 + 4*n - 145*n**2 + 12*n. Let t(m) = f(m) - 2*u(m). Suppose t(s) = 0. What is s?
-2, -1, 0, 1, 2
Suppose g - 4*c = -4, 26*g + 3*c - 22 = 22*g. Let q(j) be the second derivative of -14*j + 0 + 5/48*j**g + 0*j**2 + 1/24*j**3. Find k such that q(k) = 0.
-1/5, 0
Let l = -6 + 43. Let h = -33 + l. Factor -x**2 - 15*x - 3*x - 2*x - h*x**2.
-5*x*(x + 4)
Suppose -5*q + 2*k = -26, -2*k = k + 24. Let v(d) be the third derivative of 0*d**3 + 0 + 1/6*d**4 + 28*d**q + 0*d + 1/30*d**5. Factor v(r).
2*r*(r + 2)
Let w(z) = z**4 - 52*z**3 + 156*z**2 + 861*z - 969. Let o(u) = -3*u**4 + 108*u**3 - 316*u**2 - 1723*u + 1939. Let f(v) = -3*o(v) - 5*w(v). Factor f(j).
4*(j - 9)**2*(j - 1)*(j + 3)
Let b(z) = 2*z - 22 + 114*z**2 + 0*z**3 + 0*z**3 - 126*z**2 + z**3. Let v be b(12). Factor 1/2 - 3/4*f + 3/4*f**3 - 1/4*f**4 - 1/4*f**v.
-(f - 2)*(f - 1)**2*(f + 1)/4
Let a(t) be the second derivative of t**5/20 + 13*t**4/48 + t**3/6 - 29*t**2 + t + 1. Let s(d) be the first derivative of a(d). Suppose s(v) = 0. Calculate v.
-2, -1/6
Let t(i) be the first derivative of i**7/168 + i**6/12 + 5*i**5/24 + 80*i**3/3 + 1. Let o(d) be the third derivative of t(d). Let o(u) = 0. What is u?
-5, -1, 0
Let z(m) be the third derivative of 25*m**8/112 + 57*m**7/7 + 811*m**6/10 - 1098*m**5/5 - 5200*m**4 + 32448*m**3 - 4740*m**2. Find a such that z(a) = 0.
-52/5, -6, 2
Let p(v) be the first derivative of -v**5/120 + v**4/24 + v**3/9 - 18*v + 15. Let z(k) be the first derivative of p(k). Determine x, given that z(x) = 0.
-1, 0, 4
Suppose 588*j - 3188 + 836 = 0. Determine u so that 0*u - 2/5*u**j + 0*u**2 + 0 + 2/5*u**3 = 0.
0, 1
Suppose 0 = -116*z + 170*z - 270. Let p(w) be the second derivative of 0*w**2 + 1/150*w**z + 0*w**4 + 0 - 1/45*w**3 - 18*w. Solve p(k) = 0 for k.
-1, 0, 1
Let x be 2/11*28*(-561)/(-2142). Factor 2*p - x - 2/3*p**2.
-2*(p - 2)*(p - 1)/3
Let d(x) = x**4 - x**2 + x - 1. Suppose 10*s = -2*s - 12. Let t(k) = 6*k**4 - 7*k**3 - 24*k**2 - 4*k + 5. Let r(y) = s*d(y) + t(y). Factor r(o).
(o - 3)*(o + 1)**2*(5*o - 2)
Let w = 102502