0 for u.
-4, 1
Let z(s) be the third derivative of s**5/330 + 97*s**4/66 - 392*s**3/33 - s**2 + 813. Factor z(w).
2*(w - 2)*(w + 196)/11
Find j, given that 4/3 - 11/6*j + 7/12*j**2 = 0.
8/7, 2
Let b = -11/1732 - -655/866. Factor -3/2*r**2 - b + 1/4*r**4 + 0*r**3 - 2*r.
(r - 3)*(r + 1)**3/4
Let w(m) = -m**3 - 8*m**2 - 2*m - 16. Let a be w(-9). Suppose 88*y = a*y + 30. Suppose 6*r**2 - 2*r**2 - r - 4*r - 10 + y*r**2 + 5*r**3 = 0. Calculate r.
-2, -1, 1
Let c be (-87)/10 + 15/135*81. Let z(h) be the first derivative of 15/8*h**4 + c*h**5 - 1/4*h**6 + 0*h + 3/2*h**3 - 19 + 0*h**2. Find s, given that z(s) = 0.
-1, 0, 3
Let z(u) be the third derivative of u**7/1260 - u**6/90 - u**5/12 - 7*u**4/6 + u**2. Let j(m) be the second derivative of z(m). Solve j(s) = 0 for s.
-1, 5
Let i(a) be the third derivative of a**9/40320 + a**8/1920 + a**7/336 + 11*a**5/15 - a**3/6 - 5*a**2. Let j(p) be the third derivative of i(p). Factor j(s).
3*s*(s + 2)*(s + 5)/2
Let x be 19/57 + 6425/3 + 1. Let c = x - 2140. Factor -4 + 9/2*s**c - 19*s**2 + 22*s.
(s - 2)**2*(9*s - 2)/2
Let d be (18*16/1344)/(13/182). Solve 1/4*t + 11/4*t**2 + 0 - 3*t**d = 0.
-1/12, 0, 1
Let i = -1972/15 - -13814/105. Let v(q) be the first derivative of 1/7*q**4 + i*q**3 - 6/35*q**5 + 0*q + 0*q**2 - 23. Determine f, given that v(f) = 0.
-1/3, 0, 1
Let f(w) be the first derivative of 0*w + 15/4*w**4 + 7*w**3 + 9/2*w**2 + 217 + 3/5*w**5. Suppose f(j) = 0. Calculate j.
-3, -1, 0
Solve 39/2*i**2 - 135 + 63/2*i - 1/2*i**4 - 7/2*i**3 = 0.
-10, -3, 3
Let j(l) = -2340*l + 42122. Let a be j(18). Suppose 384/17*o**a + 2/17*o**4 + 480/17 - 72/17*o**3 - 736/17*o = 0. What is o?
2, 30
Let b(n) = -3*n**2 - 144*n - 4. Let z(a) = -2*a**2 - 145*a - 3. Let l(d) = 3*b(d) - 4*z(d). Factor l(q).
-q*(q - 148)
Factor 723/2 + 735/8*k + 3/8*k**2.
3*(k + 4)*(k + 241)/8
Let m = 2850155/246627 + -27/27403. Find o such that 16/3*o - 22/9*o**4 + 0 + 76/9*o**3 - m*o**2 + 2/9*o**5 = 0.
0, 1, 2, 6
Let n(u) be the first derivative of u**6/360 + u**5/45 + u**4/18 + 10*u**2 - 3*u + 110. Let b(w) be the second derivative of n(w). Let b(v) = 0. What is v?
-2, 0
Let y(r) be the first derivative of -5*r**4/4 + 1465*r**3 - 1287735*r**2/2 + 125768785*r - 2311. Suppose y(m) = 0. Calculate m.
293
Let c(g) be the first derivative of g**4/4 - 460*g**3/3 + 26450*g**2 + 509. Factor c(z).
z*(z - 230)**2
Factor -24*g**2 + 12*g**2 - 78 + 7*g**2 - 112 + 105*g.
-5*(g - 19)*(g - 2)
Let p(m) = -42*m**2 - 6*m**3 - 73*m**2 + 13*m**3 + 47*m - 1246*m - 1085 - 10*m**3. Let d(j) = j**2 - j - 1. Let l(n) = 2*d(n) - p(n). Factor l(b).
3*(b + 1)*(b + 19)**2
Let p(w) be the second derivative of 5*w**4/12 - 35*w**3/3 + 60*w**2 + 616*w + 1. Factor p(u).
5*(u - 12)*(u - 2)
Let r = 4081582/5 - 816316. Solve 2/5*i**3 - r*i**2 + 8/5 - 8/5*i = 0.
-2, 1, 2
Factor 6/5 - 91/5*s - 47/5*s**2.
-(s + 2)*(47*s - 3)/5
Let f be (2/(-28))/(1678/(-5873)). Suppose -f*t**2 - 11/2*t - 121/4 = 0. What is t?
-11
Let f(s) be the first derivative of s**5/70 - 11*s**4/42 + 19*s**3/21 - 9*s**2/7 - 145*s + 100. Let d(j) be the first derivative of f(j). What is v in d(v) = 0?
1, 9
Let w(j) be the third derivative of j**8/84 - 2*j**7/35 - 31*j**6/15 + 22*j**5/5 + 61*j**4/6 - 42*j**3 - 1254*j**2. Suppose w(m) = 0. What is m?
-7, -1, 1, 9
Let q(x) = -74*x**3 + 2026*x**2 + 1030*x + 128. Let v(s) = 76*s**3 - 2028*s**2 - 1032*s - 128. Let z(p) = 6*q(p) + 5*v(p). Factor z(n).
-4*(n - 32)*(4*n + 1)**2
Let w(b) be the third derivative of b**8/216 - 34*b**7/315 + 77*b**6/135 - 191*b**5/135 + 71*b**4/36 - 44*b**3/27 + 2025*b**2. Solve w(h) = 0 for h.
4/7, 1, 11
Let u(w) = -24*w - 284. Let n be u(-12). Suppose 4*y + 16 = 5*d, -16 = -n*d + d + 4*y. Factor 0*z**3 + 0 + d*z - 3/4*z**4 + 0*z**2 - 3/4*z**5.
-3*z**4*(z + 1)/4
Determine h so that -248612 - 1712739 - 338106 - 3*h**2 + 6282*h - 989170 = 0.
1047
Let m(b) = -b**3 - 18*b**2 - 20*b - 42. Let u be m(-17). Determine l, given that l**2 - u*l**2 - 92*l**4 - 15*l**3 - 5*l**2 + 3*l**2 + 87*l**4 = 0.
-2, -1, 0
Let p(s) = s**2 + s - 1. Let x(y) = 5*y**2 + 10*y - 13. Let m(g) = 4*p(g) - x(g). Let w be m(-7). Solve 4/3*v**w + 4*v + 8/3 = 0 for v.
-2, -1
Let g(z) be the first derivative of -9/5*z - 1/15*z**3 + 33 - 3/5*z**2. Factor g(j).
-(j + 3)**2/5
Factor -51984/5 + 4/5*p**3 + 52896/5*p - 916/5*p**2.
4*(p - 114)**2*(p - 1)/5
Let l = -8237 + 8246. Let h(x) be the first derivative of l + 3/2*x**2 - 1/2*x**3 - 3/16*x**4 + 6*x. Let h(s) = 0. What is s?
-2, 2
Let y(l) = -7*l**3 + 10*l**2 + 57*l - 645. Let n(d) = 9*d**3 - 10*d**2 - 55*d + 644. Let h(z) = -3*n(z) - 4*y(z). Factor h(u).
(u - 9)**2*(u + 8)
Let q = 292 + -288. Let d(o) be the second derivative of 0 + 1/32*o**q + 27/4*o**2 - 3/4*o**3 + o. Factor d(f).
3*(f - 6)**2/8
Let u = 421/8 - 2683/56. Find g, given that 0 + 18/7*g + u*g**3 + 15*g**2 = 0.
-3, -2/11, 0
Factor -2265*r**2 + 11*r**4 - 19*r**4 + 2154*r**3 + 96*r**3 + 13*r**4 - 4510*r.
5*r*(r - 2)*(r + 1)*(r + 451)
Let g(b) be the first derivative of b**4/2 - 1822*b**3/3 + 207024*b**2 + 415872*b + 984. Factor g(v).
2*(v - 456)**2*(v + 1)
Factor 83592450*s**2 + 12379588104639 + 15059267565611 + 3*s**4 + 25860*s**3 + 120094486500*s + 37262048931625.
3*(s + 2155)**4
Let w(l) = l**3 - 11*l**2 - l + 47. Let j be w(11). Factor 1568 + j*n**2 - 92*n**2 + 112*n + 29*n**2 + 29*n**2.
2*(n + 28)**2
Suppose 0 = -11*m + 46 + 119. Factor 13 + m*x**2 - 11 + x - 16*x**2.
-(x - 2)*(x + 1)
Suppose -2*y - 141*a + 142*a + 17 = 0, -y = -10*a - 37. Let c(h) be the second derivative of 0 + 1/7*h**2 - y*h + 0*h**3 - 1/42*h**4. Factor c(q).
-2*(q - 1)*(q + 1)/7
Let y be (8 + 6920/(-864))*(-5 + 3). Let h(q) be the second derivative of 0 - y*q**4 + 15*q + 1/27*q**3 + 0*q**2. Suppose h(f) = 0. What is f?
0, 1
Let m be ((-160)/(-30) - 5)/((-3)/14240). Let o = -1582 - m. Factor 0*f**2 + 8/9*f - o*f**3 + 0.
-2*f*(f - 2)*(f + 2)/9
Let z(f) = -35*f. Let l be z(0). Let n(q) be the third derivative of 0*q + 0*q**3 + 35*q**2 + 0*q**4 + 0 - 1/270*q**5 + l*q**6 + 1/945*q**7. Factor n(g).
2*g**2*(g - 1)*(g + 1)/9
Let z(v) be the first derivative of 3*v - 17 + v**2 + 1/9*v**3. Factor z(c).
(c + 3)**2/3
Let b(c) be the third derivative of 0*c + 1/490*c**7 + 2*c**4 + 7/2*c**3 + 44*c**2 + 2/35*c**6 + 39/70*c**5 + 0. Let b(m) = 0. What is m?
-7, -1
Let q be 20/(-2) - (-80)/20. Let y be 8 + q - -1 - (-1)/(-1). Factor -4/11 + 2/11*o**y - 2/11*o.
2*(o - 2)*(o + 1)/11
Let l(i) = -243*i**3 + 3*i**2 - i - 1. Let j be l(1). Let d = j - -2182/9. Suppose -8/9 - 4/9*s**3 + 20/9*s + d*s**4 - 4/3*s**2 = 0. Calculate s.
-2, 1
Let v(a) = -40*a**5 - 14*a**4 - 58*a**3 + 38*a**2 + 38*a - 38. Let y(s) = -s**5 - s**3 + s**2 + s - 1. Let z(l) = 2*v(l) - 76*y(l). Factor z(d).
-4*d**3*(d + 2)*(d + 5)
Determine o so that 2*o**2 + 94/3*o - 10*o**3 - 2/3*o**4 + 20 = 0.
-15, -1, 2
Let t(c) = 24*c**3 + 95*c**2 - 710*c - 114. Let l(v) = -49*v**3 - 185*v**2 + 1420*v + 229. Let s(n) = 6*l(n) + 11*t(n). Find j, given that s(j) = 0.
-6, -1/6, 4
Let s(j) be the first derivative of -j**4/4 - 28*j**3/3 + 240*j**2 - 4197. Factor s(w).
-w*(w - 12)*(w + 40)
Let t(f) = -f**3 + 2*f**2 - 1. Suppose 3*n + 19 = r, 5*n + 4*r + 28 = 2*r. Let c(l) = 3*l**3 + 6. Let d(y) = n*t(y) - c(y). Suppose d(w) = 0. What is w?
0, 4
Let g be (-35)/(-7) - (6 - (7 + -4)). Let c be ((-1)/g)/((-73)/438). Let 5*m**4 + 0*m**c + 5/3*m**5 + 0 + 0*m + 0*m**2 = 0. What is m?
-3, 0
Suppose 5*c - 8 - 22 = 0. Factor -10*r - 4*r**4 - 94*r**2 + 46*r**2 - 38 + 28*r**3 - c*r + 102.
-4*(r - 4)*(r - 2)**2*(r + 1)
Suppose -2*u + 4*n + 0*n = -8, -16 = -4*u + 2*n. Let j be (12/(-64))/((-15)/u + 3). Factor h**2 - j*h**3 + 0 - h.
-h*(h - 2)**2/4
Let s be (-29 - (-5050)/90 - 27)/(2*1/12). Factor 26/3*t + s*t**3 + 32/3*t**2 - 20.
2*(t - 1)*(t + 2)*(t + 15)/3
Let d(q) = 32*q + 378. Let b be d(-9). Factor 572/5*h**2 + 2/5*h**4 + 64/5*h**3 + b + 192*h.
2*(h + 1)**2*(h + 15)**2/5
Let l = 207566 + -1867982/9. Let 0 - 392/9*a - l*a**2 + 10*a**3 + 28/9*a**4 + 2/9*a**5 = 0. What is a?
-7, -2, 0, 2
Let r = 78495 - 78493. Find h such that 0*h**r + 1/3*h**4 + 0 + 0*h - h**5 + 2/3*h**3 = 0.
-2/3, 0, 1
Let q be (-4)/(-12) - -7*8/12. Let j(p) = -p**3 + 6*p**2 - 4*p + 11. Let m be j(q). Determine v, given that -12*v**2 - m*v**2 + 0*v - 6*v - 2*v = 0.
-2/7, 0
Find l, given that 393/7*l**3 