pose 0 = -d - 2*p - 0*p - 40, 5*p - 87 = 3*d. Let l = d - -50. Let 9 - 4*j - 9 + l*j**2 - 7*j**3 = 0. Calculate j.
0, 2/7, 2
Let d(f) be the second derivative of f**4/60 + 3*f**3/5 - 63*f**2/10 + 1433*f. Suppose d(m) = 0. Calculate m.
-21, 3
Let g(m) be the second derivative of -m**6/20 - 57*m**5/40 + 75*m**4/4 - m + 1766. Determine u so that g(u) = 0.
-25, 0, 6
Let u(l) = 15*l**3 + 1100*l**2 + 11355*l + 35510. Let c(x) = -2*x**3 - 157*x**2 - 1622*x - 5073. Let p(r) = -20*c(r) - 3*u(r). Factor p(n).
-5*(n + 6)*(n + 13)**2
Let x(h) be the second derivative of -3*h**5/160 + 47*h**4/32 - 87*h**3/16 - 405*h**2/16 - 153*h + 5. Factor x(v).
-3*(v - 45)*(v - 3)*(v + 1)/8
Let z(l) be the first derivative of 81*l**4/20 + 231*l**3/5 - 32*l**2 + 36*l/5 + 636. Solve z(k) = 0.
-9, 2/9
Suppose 86*z - 134*z = -133*z. What is p in -4/3*p**3 + z - 4/3*p - 8/3*p**2 = 0?
-1, 0
Let k be (-9 - 74/(-8)) + 26151/(-60). Let b = 436 + k. Factor 0*d + b*d**5 + 0 + 0*d**2 - 2/5*d**3 + 0*d**4.
2*d**3*(d - 1)*(d + 1)/5
Let b be 2 + 1/(-9) + 725/(-522). Determine m, given that -3/4 + 1/4*m**2 - b*m = 0.
-1, 3
Let f = -109494 + 109497. Factor 168/5*m**2 + 44/5*m**f + 4/5*m**4 + 256/5*m + 128/5.
4*(m + 1)*(m + 2)*(m + 4)**2/5
Let b(i) = 31*i**2 + 701*i - 277. Suppose 138*n = 141*n - 66. Let m(g) = -8*g**2 - 175*g + 69. Let v(h) = n*m(h) + 6*b(h). Determine p so that v(p) = 0.
-36, 2/5
Let d(g) be the second derivative of g**5/90 - g**3/9 + 29*g**2/2 - 20*g + 1. Let m(z) be the first derivative of d(z). Factor m(p).
2*(p - 1)*(p + 1)/3
Let p be 19/15 + 8/20 + 9/9. Factor -p*n - 1/3*n**4 + 10/3*n**2 - 1/3*n**3 + 0.
-n*(n - 2)*(n - 1)*(n + 4)/3
Let 4*i**2 + 0 - 4/3*i**5 - 4*i**4 + 0*i + 4/3*i**3 = 0. What is i?
-3, -1, 0, 1
What is u in 2/5*u**2 + 872/5*u + 95048/5 = 0?
-218
Let g = -20 - -210. Let n be g*(156/56 + 2/(-7)). Solve 4*k**3 - k**4 - 5*k**2 + 2*k - n + 475 = 0 for k.
0, 1, 2
Let k(t) = 191*t**4 - 560*t**3 + 9*t**2 + 510*t - 25. Let d(v) = 23*v**4 - 70*v**3 + v**2 + 64*v - 3. Let n(o) = 50*d(o) - 6*k(o). Let n(c) = 0. Calculate c.
-1, 0, 1, 35
Let o(z) = z**3 - 13*z**2 - z - 11. Let j(w) = 4*w**2 - 4 - 4 + 10 - 3*w**2. Let f(n) = -40*j(n) - 5*o(n). Factor f(i).
-5*(i - 5)*(i - 1)*(i + 1)
Suppose 32*d - 5724 = -21*d. Let l be 0 + 2/d*12. Determine r, given that -l*r + 0 - 2/9*r**2 = 0.
-1, 0
Let o = -52464 + 577106/11. Find m such that -2/11*m**3 - o*m**2 + 2/11*m + 2/11 = 0.
-1, 1
Let z(m) be the second derivative of -3*m**4/4 - 647*m**3/3 + 144*m**2 + 3114*m. Factor z(f).
-(f + 144)*(9*f - 2)
Let t(d) = 35*d**4 + 320*d**3 + 715*d**2 - 1205*d + 30. Let z(n) = -9*n**4 - 80*n**3 - 179*n**2 + 304*n - 8. Let u(w) = -4*t(w) - 15*z(w). Factor u(b).
-5*b*(b - 1)*(b + 4)*(b + 13)
Factor 432/7 - 78/7*q + 3/7*q**2.
3*(q - 18)*(q - 8)/7
Let s(f) be the second derivative of f**5/10 - 2*f**4/3 - 112*f**3 + 2880*f**2 - 1324*f. Factor s(g).
2*(g - 12)**2*(g + 20)
Find w such that -64/3 - 75*w**4 + 191/3*w**2 - 112/3*w + 70*w**3 = 0.
-8/15, 1
Let b(t) = -2*t**2 + 325*t - 11248. Let k be b(50). Factor -5312/7*q - 136/7*q**4 + 4/7*q**5 - 384 - 3904/7*q**k - 1248/7*q**3.
4*(q - 42)*(q + 2)**4/7
Let j = -36 + 52. Suppose -j = 6*b - 10*b. Factor -x**5 - 6*x**b - 15*x**3 - 13*x**3 + 17*x**3 - 6*x**2.
-x**2*(x + 1)*(x + 2)*(x + 3)
Let o(u) be the first derivative of -20*u + 22*u**2 - 8/3*u**3 + 70. Suppose o(x) = 0. What is x?
1/2, 5
Let z be (-8 - -11)*2/4. Suppose 4*c + 0*c - 19 = -5*q, q = 3*c. Determine i so that -3/2*i**q + 3/2*i + 3/2*i**4 - z*i**2 + 0 = 0.
-1, 0, 1
Let k(a) = -22720*a - 159036. Let j be k(-7). Factor 0*r + 0 - 1/2*r**j - 6*r**3 - 11/2*r**2.
-r**2*(r + 1)*(r + 11)/2
Let g = 2503/3 - 829. Let l(v) be the first derivative of 48*v**2 + 9*v**6 - 19 - 36*v**4 + g*v**3 + 32*v - 54/5*v**5. Factor l(q).
2*(q - 2)*(q - 1)*(3*q + 2)**3
Let y(p) = -78*p - 32. Let a be y(8). Let k be a/4715*5/(-2). Factor 2/23*w**2 - 6/23*w - k.
2*(w - 4)*(w + 1)/23
What is z in -118 + 624*z**3 + 40*z**2 - 402*z**4 - 138*z**4 - 43*z + 106 - 69*z = 0?
-1/3, -1/9, 3/5, 1
Suppose -6*r + 3*r - 5*o = -53, -41 = -r + 3*o. Solve -r*k**2 + 10*k**4 + 15*k**4 + 110*k**2 - 16*k - 120*k**3 = 0 for k.
0, 2/5, 4
Let b be (-15)/720 + 4053/1008. Factor 0 + 50/11*t**5 + 128/11*t + 120/11*t**b - 192/11*t**2 - 8*t**3.
2*t*(t + 2)**2*(5*t - 4)**2/11
Let v be (((-980)/(-6))/(-7))/((-4)/(-6)). Let m = v - -38. Suppose 1 + 7/4*u + 1/2*u**2 - 1/4*u**m = 0. Calculate u.
-1, 4
Let q(x) = -x**3 - 7*x**2 - 9*x - 52. Let z be q(-7). Suppose 4 - 3 + z + 2*c**2 - 4*c - 6*c = 0. Calculate c.
2, 3
Let x be (-8)/6 - 4*(-200)/608. Let y = 515/114 + x. Factor 1/8*l**2 + y + 3/2*l.
(l + 6)**2/8
Let l(f) = 8*f**3 + 4*f**2 - 5*f**2 - f + 0*f**2 + 15*f**4 - 7 + 0*f**2. Let c(y) = -7*y**4 - 4*y**3 + y**2 + y + 3. Let h(r) = 7*c(r) + 3*l(r). Factor h(i).
-4*i*(i - 1)*(i + 1)**2
Let d(s) be the first derivative of 1/8*s**3 + 6*s**2 + 96*s - 17. Factor d(u).
3*(u + 16)**2/8
Let q(t) be the second derivative of t**6/6 + 2*t**5 - 75*t**4/4 + 30*t**3 + 3097*t. Determine r, given that q(r) = 0.
-12, 0, 1, 3
Let p(v) = -v**4 - 91*v**3 - 276*v**2. Let g(f) = -f**4 - f**3 + 2*f**2. Let j(w) = 6*g(w) - 2*p(w). Factor j(m).
-4*m**2*(m - 47)*(m + 3)
Let v = 78 + -73. Let g(s) = -9*s**5 - 6*s**4 + 18*s**2 + 3*s. Let x(b) = -8*b**5 - 6*b**4 + 16*b**2 + 3*b. Let a(y) = v*g(y) - 6*x(y). Factor a(o).
3*o*(o - 1)*(o + 1)**3
Let w be (-20)/10*(-37)/((-1554)/(-96)). Factor -2/7*z**3 - w - 16/7*z + 2*z**2.
-2*(z - 4)**2*(z + 1)/7
Let m be (627/(-76) + 9)/((-10)/16 + 1). Determine c so that 7/4*c**5 + 3*c**4 + 3/4*c**3 + 0*c + 0 - 1/2*c**m = 0.
-1, 0, 2/7
Let j(p) = 7506*p - 187645. Let b be j(25). Factor -25/3*f**b - 20*f**4 - 4*f**2 - 46/3*f**3 - 1/3*f + 0.
-f*(f + 1)**2*(5*f + 1)**2/3
Let r(c) be the first derivative of 0*c - 5*c**3 - 3*c**2 - 3/5*c**5 - 3*c**4 - 22. Find n such that r(n) = 0.
-2, -1, 0
Let j = 24616 - 24613. Let n(x) be the first derivative of 64/3*x**j - x**4 - 32 + 0*x - 128*x**2. What is k in n(k) = 0?
0, 8
Factor 6/11*l**3 + 0 + 0*l + 0*l**2 + 202/11*l**4.
2*l**3*(101*l + 3)/11
Let g(x) = 37*x**2 - 314*x + 284. Let r(z) = -72*z**2 + 644*z - 569. Let j(o) = -9*g(o) - 4*r(o). Factor j(l).
-5*(l - 4)*(9*l - 14)
Let v(f) be the first derivative of -f**6/2 - 6*f**5/5 + 33*f**4/4 + 12*f**3 - 497. Let v(c) = 0. Calculate c.
-4, -1, 0, 3
Let i be (-7)/(-5) + -17 + 18 - 2. Let a be (-12)/(-2) - 2 - (-4 + 8). Determine b, given that -8/5 + a*b + i*b**2 = 0.
-2, 2
Let x = -478017 - -1434055/3. Find r such that 10/9*r**4 - 8/9*r**2 - 16/9*r + 2/9*r**5 + x*r**3 + 0 = 0.
-2, 0, 1
Find o such that 1224*o**2 + 1209*o**2 - 3582*o - 1069227 - 2436*o**2 = 0.
-597
Suppose 0 = -j + 5*l + 15, -8*l = -5*j - 4*l + 12. Suppose j = -6*w + 4*w + 4. Factor -15*f + w - 9*f**3 + 6*f**3 + 12*f**2 + 2 + 2.
-3*(f - 2)*(f - 1)**2
Find x, given that 224/11*x**2 - 98/11*x**3 - 40/11*x - 32/11 = 0.
-2/7, 4/7, 2
Let o(f) be the third derivative of -f**6/40 + 49*f**5/10 - 285*f**4/8 - 34*f**2 + 17*f - 1. Determine i, given that o(i) = 0.
0, 3, 95
Let w(i) be the third derivative of i**10/75600 + i**9/35280 - 121*i**5/60 - 13*i**2. Let c(v) be the third derivative of w(v). Factor c(t).
2*t**3*(7*t + 6)/7
Let q(i) be the third derivative of -i**5 - 19/6*i**4 + 0*i - 1/30*i**6 + 0 - 14/3*i**3 - 223*i**2 + 4/105*i**7. Solve q(n) = 0 for n.
-1, 7/2
Let m = -100 + 102. Suppose -5 - 2*k**m + 17 + 2*k + 4*k + 4*k = 0. What is k?
-1, 6
Let y = 77961/15310 - -12/1531. Let o = -7/2 + y. Factor 8/5*p + 0*p**2 + 4/5*p**4 - 4/5 - o*p**3.
4*(p - 1)**3*(p + 1)/5
Let b(s) be the third derivative of -s**5/270 + 25*s**4/108 + 2*s**3 + 259*s**2. Let b(f) = 0. Calculate f.
-2, 27
Let g(y) = 211*y - 223. Let v be g(3). Let p = 414 - v. Determine u, given that -p + 4*u**2 - 4/3*u + 4/3*u**3 = 0.
-3, -1, 1
Let l be 70/24 - (-689)/8268. Factor 3/2*f**3 + 15 + l*f**2 - 39/2*f.
3*(f - 2)*(f - 1)*(f + 5)/2
Let j(l) be the second derivative of -l**6/108 + 13*l**5/180 - 2*l**4/9 - 37*l**3/2 + 7*l - 1. Let y(b) be the second derivative of j(b). Factor y(k).
-2*(k - 1)*(5*k - 8)/3
Suppose 2085 = 5*b + 125. Let y be (-84)/b + 6/4. What is d in 3/7*d**2 + 6/7*d - y = 0?
-3, 1
Let l = 25 + 345. Suppose -13*g + 20 = -l. Factor 0*s - 7*s**2 + 12*s**2 - 10*s**2 + g - 5*s.
-5*(s - 2)*(s + 3)
Let b(y) = -y