 = 0.
-1, 0, 5
Suppose -20*b = 75*b - 95 - 95. Let -15/2*o**b - 24*o + 32 - 1/2*o**3 = 0. What is o?
-8, 1
Let y(g) be the second derivative of -g**5/150 + g**4/30 + g**3/5 + 23*g**2 + 117*g. Let o(t) be the first derivative of y(t). Let o(p) = 0. Calculate p.
-1, 3
Let z = 77455 - 77455. Factor z + 4/5*c**3 + 0*c + 4/5*c**2.
4*c**2*(c + 1)/5
Let g(v) = 9*v**3 - 3852*v**2 - 7712*v - 3851. Let f(u) = u**3 - 428*u**2 - 857*u - 428. Let q(p) = 19*f(p) - 2*g(p). Factor q(r).
(r - 430)*(r + 1)**2
Let r be -1*(-1)/(2*2/(-28)). Let n(b) = b**2 + 8*b + 22. Let x be n(r). Factor -15*v**3 - 10*v**2 + 55*v + 19*v**2 + x + v**2 + 15*v**2.
-5*(v - 3)*(v + 1)*(3*v + 1)
Let z = 14110 + -14110. Factor -1/4*g**4 + 0*g - 1/2*g**3 + z - 1/4*g**2.
-g**2*(g + 1)**2/4
Let i(b) = -42*b**2 - 10*b + 17. Let u be i(2). Let n = -168 - u. Factor 1/3*f**2 - 1/6*f**n - 1/6*f + 0.
-f*(f - 1)**2/6
Let a(y) be the third derivative of 5 + 0*y**4 + 0*y + 1/1680*y**8 + 0*y**3 + 1/600*y**6 + 0*y**5 - 1/525*y**7 - 3*y**2. Factor a(o).
o**3*(o - 1)**2/5
Suppose 270 = 37*y - 7*y. Suppose -50*r + l = -48*r - y, 3*r + 4*l = -3. Suppose 0*i**2 + 0 - 15*i**r + 4/3*i + 7*i**5 - 20/3*i**4 = 0. Calculate i.
-1, -1/3, 0, 2/7, 2
Let h(y) = y**3 - 12*y**2 + 10*y + 18. Let b be h(11). Let t(g) = -4*g + 30. Let x be t(b). Suppose -6/11*s + 0 - 2/11*s**x = 0. Calculate s.
-3, 0
What is p in 5215/6*p + 13*p**4 + 854*p**2 + 671/3*p**3 - 5/6*p**5 + 225 = 0?
-5, -1, -2/5, 27
Factor 88/5 - 22/5*p**2 + 8/5*p - 2/5*p**3.
-2*(p - 2)*(p + 2)*(p + 11)/5
Let c(k) be the first derivative of 0*k + 2/39*k**3 - 2/13*k**2 - 6. Solve c(u) = 0.
0, 2
Let j(n) be the second derivative of -n**4/60 + 4*n**3/15 + 24*n**2/5 - 1492*n. Determine s, given that j(s) = 0.
-4, 12
Factor -160 - 89*p + 12690*p**3 + 13*p - 12692*p**3 + 82*p**2.
-2*(p - 40)*(p - 2)*(p + 1)
Let l(v) be the third derivative of -v**5/60 - 119*v**4/24 + 2*v**2 + 219*v + 1. Factor l(r).
-r*(r + 119)
Let r(o) = 3*o**2 + 39*o + 2. Let k(x) = -13*x**2 - 153*x - 9. Let v(w) = -2*k(w) - 9*r(w). Factor v(j).
-j*(j + 45)
Let b = -63 + 73. Let z = 12 - b. Factor -14*m - 26*m + 60 + 46*m**3 - 5*m**z - 41*m**3.
5*(m - 2)**2*(m + 3)
Let w(s) be the third derivative of 0 - 12*s**2 - 2*s + 1/6*s**4 + 1/30*s**5 + 0*s**3. Factor w(q).
2*q*(q + 2)
Let v(c) be the first derivative of -8/3*c**2 + 2/9*c**3 - 2 - 6*c. Factor v(x).
2*(x - 9)*(x + 1)/3
Solve 1/2*f**3 - 1/2*f + 165/2*f**2 - 165/2 = 0.
-165, -1, 1
Let r(k) = -5*k - 8*k - 6*k - 21 + 4*k - 4*k**2. Let a(d) = d**2 + 5*d + 8. Let b(s) = 21*a(s) + 6*r(s). Factor b(v).
-3*(v - 7)*(v + 2)
Let p(j) = 2*j**5 - 2*j**4 - 5*j. Let n(t) = -45*t**5 + 135*t**4 + 6*t**3 - 480*t**2 + 429*t. Let u(w) = -n(w) - 9*p(w). Find d, given that u(d) = 0.
-2, 0, 1, 8/3
Let x(l) = 6*l + 6. Suppose 2 = -4*k - 10. Let z(n) = n**2 + 6*n + 4. Let w(u) = k*z(u) + 2*x(u). Let w(j) = 0. What is j?
-2, 0
Let s be 1 + (-1)/(-2)*(22 - 14). Let p = -446/7 + 452/7. Solve 0 + 3/7*l**3 + p*l**4 + 0*l + 3/7*l**s + 0*l**2 = 0 for l.
-1, 0
Let 5*i**5 + 2325*i - 2330*i**3 + 1165 - 10*i**2 + 65460*i**4 - 132872*i**4 + 66257*i**4 = 0. Calculate i.
-1, 1, 233
Let g(z) be the second derivative of -z**4/4 - 175*z**3/2 - 261*z**2 + 2314*z. Factor g(t).
-3*(t + 1)*(t + 174)
Let t(y) be the second derivative of -6*y**7/7 + 44*y**6/5 - 118*y**5/5 - 152*y**4/3 + 410*y**3 - 900*y**2 - 14*y + 1. Determine g, given that t(g) = 0.
-2, 5/3, 3
Determine p, given that -3460/9*p**4 - 658/9*p**3 - 184/3*p - 50/9*p**5 + 2200/9*p**2 + 0 = 0.
-69, -1, 0, 2/5
Determine j, given that 6/11*j**4 + 0 + 12/11*j - 14/11*j**2 - 6/11*j**3 + 2/11*j**5 = 0.
-3, -2, 0, 1
Let x(v) = 3*v**2 + 4*v + 1. Let n(g) = -20*g**3 - 12*g**2 + 3264*g - 1364. Let f(u) = n(u) + 20*x(u). Determine t so that f(t) = 0.
-12, 2/5, 14
Let v(k) be the first derivative of 2/15*k**3 + 58 - 6/5*k**2 + 16/5*k. Suppose v(y) = 0. Calculate y.
2, 4
Let b(x) = 12*x**2 + 40*x + 80. Let u(c) = 8 + 1 - c**2 - 6 - 5 - c. Let z(w) = b(w) + 8*u(w). Solve z(q) = 0.
-4
Let h(l) = 3*l**3 + 97*l**2 + 263*l + 169. Let n(k) = 3*k**3 + 96*k**2 + 261*k + 168. Let v(s) = 6*h(s) - 7*n(s). Let v(z) = 0. Calculate z.
-27, -2, -1
Let w be ((-39000)/40040)/(9/(-33)). Factor -4/7*j**3 + 0 - w*j + 20/7*j**2.
-j*(2*j - 5)**2/7
Let x = -101736 + 814131/8. Factor -3/8*h**2 - x + 27/4*h.
-3*(h - 9)**2/8
Let r be 78/15 + -3 - (297/(-135))/(-11). Let z(f) be the second derivative of -1/78*f**4 - 2/13*f**3 + 0 + 0*f**r + 34*f. Determine n, given that z(n) = 0.
-6, 0
Let l(q) be the first derivative of q**4 + 44*q**3/3 + 8*q**2 - 240*q + 557. Let l(u) = 0. What is u?
-10, -3, 2
Suppose -46*b**5 - 44*b**5 + 169*b**4 - 161*b**4 - 42*b**5 + 8*b - 8*b**2 + 130*b**5 - 6*b**3 = 0. What is b?
-1, 0, 1, 2
Suppose -7*g + 13 = -3*g + n, -g + 4*n - 1 = 0. Find k, given that -14*k**3 - 2*k**4 + 36*k + 26*k**3 - 36*k**2 + 6*k**4 - 16*k**g = 0.
-3, 0, 1, 3
Let n(y) be the first derivative of -y**5/12 - 2*y**4 + 10*y**3/3 - 27*y**2/2 - 2*y - 246. Let t(q) be the second derivative of n(q). Factor t(z).
-(z + 10)*(5*z - 2)
Let 98/5*j**4 - 722/5*j + 0 + 434/5*j**3 + 38*j**2 = 0. What is j?
-19/7, 0, 1
Let m be 2166/(-2695) + (-1)/(-7)*7. Let f = m - -2/539. Factor -u**2 + 3/5*u**3 + 1/5 + f*u.
(u - 1)**2*(3*u + 1)/5
Suppose 2*b - 5*v = -0*v + 559, -845 = -3*b + v. Let q be (b/54 + -5)*3. Factor 1/6*a + q*a**4 - 1/6*a**3 + 0 - 2/3*a**2.
a*(a - 1)*(a + 1)*(4*a - 1)/6
Let v(u) be the first derivative of -u**3/3 + u**2/2 + 75. Let s(k) = -k**5 + 3*k**4 + k**3 - 3*k. Let i(x) = -s(x) - 3*v(x). Factor i(j).
j**2*(j - 3)*(j - 1)*(j + 1)
Let c = 280 + -278. Let h(j) = -j**3 + 12*j**2 - 15*j + 6. Let q(i) = -9*i**3 + 120*i**2 - 150*i + 60. Let o(b) = c*q(b) - 21*h(b). Factor o(t).
3*(t - 2)*(t - 1)**2
Let t(y) = y**3 + 2*y**2 + 6*y - 1. Let c(a) = 4*a**3 + 96*a**2 - 190*a - 318. Let h(s) = -c(s) + 6*t(s). Factor h(b).
2*(b - 39)*(b - 4)*(b + 1)
Let j = -1452 - -1456. Let g(v) be the third derivative of 3/40*v**6 + 1/42*v**7 + 1/12*v**j + 1/336*v**8 + 7/60*v**5 - 27*v**2 + 0*v + 0*v**3 + 0. Factor g(a).
a*(a + 1)**3*(a + 2)
Let c(h) be the first derivative of -19*h**3 + 0*h + 9/5*h**5 + 9*h**2 + 3/2*h**4 + 62. What is u in c(u) = 0?
-3, 0, 1/3, 2
Let z(h) = -h**3 + 6*h**2 - 3*h - 1. Let k be z(6). Let r be ((-95)/(-70))/k*-7. Factor -i + r*i**2 + 1/2.
(i - 1)**2/2
Let j(m) = m - 5. Let k(i) = i - 5. Let t(l) = -6*j(l) + 5*k(l). Let x be t(-6). Factor -5 - 3*y**2 + y**2 + 5*y - y**3 + x.
-(y - 2)*(y + 1)*(y + 3)
Let a(l) be the third derivative of 0 + 0*l - 19/48*l**4 - 361/24*l**3 - 1/240*l**5 - 56*l**2. Factor a(k).
-(k + 19)**2/4
Let n be (6 + 57/(-10))/(0 + (-54)/(-5)). Let g(l) be the third derivative of -30*l**2 + 0*l**4 + 0*l - 1/45*l**5 + 0 + n*l**6 + 0*l**3. Factor g(a).
2*a**2*(5*a - 2)/3
Factor -887808 + 2176*h - 4/3*h**2.
-4*(h - 816)**2/3
Let q be ((0/2)/1)/(20 - 21). Let m(n) be the first derivative of 1/8*n**2 + q*n + 1/12*n**3 - 15. Factor m(u).
u*(u + 1)/4
Let h be (87 - (90 + 1))*(1 + 70/(-76))/(-3). Solve -h*m**3 + 128/19 - 96/19*m - 30/19*m**2 = 0 for m.
-8, 1
Let -4528 + 5124 + 0*z - 8*z**3 + 4*z + 4*z**5 - 1192*z**2 + 596*z**4 = 0. Calculate z.
-149, -1, 1
Let m(a) be the second derivative of 16/45*a**3 - 1/150*a**5 - 4 + 1/30*a**4 + a + 4/5*a**2. Factor m(d).
-2*(d - 6)*(d + 1)*(d + 2)/15
Let i(f) be the third derivative of 0*f - 5/42*f**7 + 26 + 7/24*f**6 + 0*f**3 + 1/6*f**5 - 2*f**2 - 5/84*f**8 + 0*f**4. Solve i(q) = 0.
-2, -1/4, 0, 1
Let i(k) be the first derivative of 21/11*k**3 + 0*k + 137 + 81/22*k**2 + 1/55*k**5 - 17/44*k**4. What is g in i(g) = 0?
-1, 0, 9
Let g = -25656 - -103447/4. Let t = g - 205. Determine k, given that 0 - t*k**2 - 9/4*k = 0.
-3, 0
Let z(w) be the first derivative of -10/9*w**2 + 5*w - 8/27*w**3 + 6 + 1/27*w**4. Let f(c) be the first derivative of z(c). Factor f(y).
4*(y - 5)*(y + 1)/9
Let o = 504 - 502. Let u be -10*o/((-20)/6*2). Factor u*j + 9/5 + 7/5*j**2 + 1/5*j**3.
(j + 1)*(j + 3)**2/5
Let w = -20 + 36. Solve 3*r**3 - 10*r**2 - 3 - 5*r**3 + w*r + 99 = 0 for r.
-4, 3
Let d(w) = -4*w**2 + 60*w - 69. Let v(u) = -2*u**2 + 30*u - 34. Let m be (-26)/6*(1 + 0 + 2). Let t(k) = m*v(k) + 6*d(k). Factor t(l).
2*(l - 14)*(l - 1)
Let u = -81 - -84. Suppose -4*n - 4 = 2*o - 36, u*o = 3*n - 6. Factor 2*z**5 - 14*z**2 - 4 + 2