e of x(n). Solve p(s) = 0 for s.
-9, -2
Let x(b) = -b - 17. Let m be x(-17). Suppose m*g - 7*g - 12*g = 0. Factor 0*w**4 - 1/4*w**5 + g + 0*w + 1/4*w**3 + 0*w**2.
-w**3*(w - 1)*(w + 1)/4
Let t be (-10030)/8024*(-4)/25. Let l = -20 + 22. Factor -4/5*u**l + 3/5*u + 0 + t*u**3.
u*(u - 3)*(u - 1)/5
Let d(i) = 2*i + i - 9*i**2 + 431 - 839 + 410. Let t(c) = -2*c - c**2 + 6*c - 3*c + 1. Let o(v) = -5*d(v) + 40*t(v). Determine w, given that o(w) = 0.
-3, -2
Let h = 7748/64991 - 6/3823. Factor 2/17*n**4 - 2/17*n**3 - h*n**2 + 0*n + 2/17*n**5 + 0.
2*n**2*(n - 1)*(n + 1)**2/17
Suppose -u + 11*f + 8615 = 8459, -38 = 2*u + 3*f. Suppose b + 6/7 + 1/7*b**u = 0. What is b?
-6, -1
Let t(m) = 5220*m - 2608*m - 2636*m - 12*m**2 + 4*m**3 + 20. Let j(u) = -14*u - 11*u**2 + 4*u**3 - 2 - 9*u + 23. Let q(b) = 4*j(b) - 3*t(b). Factor q(s).
4*(s - 3)*(s - 1)*(s + 2)
What is h in -1111*h**2 - 824*h - 112*h**3 - 284 - 124 - 2*h**4 - 274*h**2 + 859*h**2 = 0?
-51, -2, -1
Let l = 618325814027/2537390417705 + 1/208752811. Let p = l - 6/715. Factor 0 - 2/17*j**2 + 0*j - 2/17*j**4 - p*j**3.
-2*j**2*(j + 1)**2/17
Let i(s) be the second derivative of -s**7/9 + 53*s**6/225 + 52*s**5/25 + 14*s**4/9 + 16*s**3/45 + 579*s + 2. Suppose i(o) = 0. What is o?
-2, -2/7, -1/5, 0, 4
Let j(c) be the first derivative of 2*c**6/3 + c**5/4 - 5*c**4/4 - 127*c + 83. Let u(l) be the first derivative of j(l). Let u(n) = 0. Calculate n.
-1, 0, 3/4
Let t(g) be the first derivative of 26/11*g**2 - 338/11*g + 13 - 2/33*g**3. Find l such that t(l) = 0.
13
Let w be 14/35 + (-108)/(-30). Factor -2*u + 16/3*u**2 + 0 + 2/3*u**5 + 0*u**4 - w*u**3.
2*u*(u - 1)**3*(u + 3)/3
Let -1/6*z**5 + 0*z - 2/3*z**4 + 0 - 5/6*z**3 - 1/3*z**2 = 0. What is z?
-2, -1, 0
Let v(r) = 3*r**4 - 20*r**3 + 132*r**2 - 254*r + 158. Let s(w) = -16*w**4 + 97*w**3 - 660*w**2 + 1273*w - 789. Let x(a) = -2*s(a) - 11*v(a). Factor x(k).
-(k - 20)*(k - 2)**3
Let f(j) be the first derivative of 7*j**6/45 + j**5/4 + j**4/6 - 25*j**3/3 - 83. Let x(v) be the third derivative of f(v). Factor x(t).
2*(4*t + 1)*(7*t + 2)
Let b be (-16)/840*22005/(-163). What is r in -104/7*r**2 - b*r**3 - 138/7*r + 36/7 = 0?
-3, 2/9
Let h(w) be the second derivative of 120*w**2 + 245/6*w**3 + 5/12*w**4 + w - 14. Suppose h(y) = 0. What is y?
-48, -1
Suppose 31 = 10*p - 39. Factor 9*c - p - 13 - 1442*c**2 + 1441*c**2.
-(c - 5)*(c - 4)
Let q(h) be the third derivative of 0 + 0*h**3 - 1/20*h**5 + 0*h**4 + 1/40*h**6 - 2*h**2 - 10*h. Factor q(o).
3*o**2*(o - 1)
Let l(f) be the first derivative of -f**3/33 + 3*f**2/22 + 208*f/11 - 3476. Factor l(u).
-(u - 16)*(u + 13)/11
Let w(g) be the first derivative of g**4/12 - 11*g**3/2 - 17*g**2 - 152*g + 30. Let i(h) be the first derivative of w(h). Factor i(l).
(l - 34)*(l + 1)
Let b(c) be the second derivative of 5*c - 1/3*c**4 + 0 + 208/3*c**3 - 5408*c**2. Factor b(q).
-4*(q - 52)**2
Let k = -153/5 - -31. Let w be 9/1*11/33. Solve -k*d**w + 0 + 1/5*d**5 + 0*d**4 + 1/5*d + 0*d**2 = 0 for d.
-1, 0, 1
Let 68/9*c**2 - 2/9*c**4 - 22/3 - 16/9*c + 16/9*c**3 = 0. Calculate c.
-3, -1, 1, 11
Suppose -5*h - 3*u - 16 = 0, 6*h - u + 13 = 4*h. Let a = h + 10. Factor 36*g - 2*g - 30*g**2 + a*g**3 - 40 + 6*g + 20*g.
5*(g - 2)**3
Determine r, given that 24/5 + 5*r + 1/5*r**2 = 0.
-24, -1
Let n(h) = 10*h**4 + 82*h**3 - 60*h**2 - 47*h + 78. Let x(a) = -9*a**4 - 78*a**3 + 60*a**2 + 48*a - 75. Let y(t) = 6*n(t) + 7*x(t). Factor y(w).
-3*(w - 1)**2*(w + 1)*(w + 19)
Let y(i) be the third derivative of -i**5/15 + i**4/12 + 40*i**3 - 775*i**2. Factor y(v).
-2*(v - 8)*(2*v + 15)
Let s(k) be the first derivative of -k**5/10 - 47*k**4/8 - 251*k**3/6 - 205*k**2/4 - 827. Factor s(l).
-l*(l + 1)*(l + 5)*(l + 41)/2
Find x such that 75 - 239/2*x**2 + 605/4*x - 2*x**4 + 109/4*x**3 = 0.
-3/8, 4, 5
Determine x so that 6*x**2 - 742*x + 78*x - 8*x**2 = 0.
-332, 0
Suppose -67*j**3 + 130*j + 34*j**3 - 252 + 30*j**3 - 246*j**2 + 371*j = 0. What is j?
-84, 1
Let t(v) = v**3 + 6*v**2 - 9*v - 8. Let n be t(-8). Let o = n - -72. Factor -o*p**2 + 2*p**2 - 60*p - 180 - 2*p**2 + 3*p**2.
-5*(p + 6)**2
Find t such that 8/9*t**4 + 0*t + 20402*t**2 + 808/3*t**3 + 0 = 0.
-303/2, 0
Let n(k) be the third derivative of 5*k**8/336 - 53*k**7/210 + 41*k**6/40 + 53*k**5/60 - 53*k**4/6 - 14*k**3 - 4197*k**2. Let n(w) = 0. Calculate w.
-1, -2/5, 2, 3, 7
Let q(y) be the first derivative of -y**3/3 - 49*y**2/2 - 48*y - 1542. Factor q(u).
-(u + 1)*(u + 48)
Let s(x) be the first derivative of x**6/2 - 51*x**5/5 + 309*x**4/4 - 267*x**3 + 432*x**2 - 324*x - 545. Solve s(o) = 0.
1, 3, 6
Let c = -412599/50 + 8252. Let m(y) be the second derivative of 0 - 1/5*y**2 - 17*y + c*y**5 + 1/30*y**4 - 1/15*y**3. Find j such that m(j) = 0.
-1, 1
Let t(i) = 108*i**2 - 2104*i + 2080. Let p(d) = 23*d**2 - 421*d + 416. Let u(c) = -28*p(c) + 6*t(c). Factor u(y).
4*(y - 208)*(y - 1)
Let u(d) be the first derivative of -4*d**3 + 15/2*d**2 + 0*d - 3/4*d**4 - 73. Suppose u(s) = 0. Calculate s.
-5, 0, 1
Let c(d) be the third derivative of -d**8/2184 + 32*d**7/1365 - 253*d**6/780 + 383*d**5/195 - 224*d**4/39 + 352*d**3/39 - 2562*d**2. Find l such that c(l) = 0.
1, 4, 22
Suppose -18*a + f = -22*a + 7, -a = 3*f + 1. Suppose -4*c + 86 - 82 = 4*n, -c + a*n + 10 = 0. Factor -4*p**3 - 16*p + 2/5*p**c + 32/5 + 66/5*p**2.
2*(p - 4)**2*(p - 1)**2/5
Let i(l) = -2*l + 3. Let f be i(0). Find p, given that -73*p - p**3 - 3*p**3 - 135*p**2 - p**f - 297*p - 240 + 0 = 0.
-24, -2, -1
Let q(y) = 4*y**4 - 228*y**3 - 3244*y**2 - 19152*y - 42326. Let x(p) = p**4 - 76*p**3 - 1079*p**2 - 6384*p - 14109. Let o(m) = 3*q(m) - 10*x(m). Factor o(i).
2*(i + 7)**2*(i + 12)**2
Let f(k) be the first derivative of -33*k**2/2 + 5*k - 2. Let i be f(-5). Find x such that i*x - 170*x + 3*x**3 + 9*x**2 - 12 = 0.
-2, 1
Let n = -356 + 595. Let v = n + -237. Factor 4/3*z + 2/3*z**5 - 14/3*z**v + 6*z**3 - 10/3*z**4 + 0.
2*z*(z - 2)*(z - 1)**3/3
Let i(r) = -234*r**3 + 1131*r**2 - 580*r + 69. Let y(b) = 47*b**3 - 226*b**2 + 116*b - 14. Let v(k) = -2*i(k) - 11*y(k). What is f in v(f) = 0?
2/7, 4
Let h(u) = -u**2 + u + 1. Let d(i) = -14*i**2 + 2666*i - 2639. Let n(s) = 2*d(s) - 26*h(s). Factor n(o).
-2*(o - 2652)*(o - 1)
Factor 4*q**4 - 4*q**2 + 7*q**2 - 9*q + 13*q - 7*q**2 - q**5 - 3*q**3.
-q*(q - 2)**2*(q - 1)*(q + 1)
Let j = 187 + -183. Factor -28*u**4 + 31*u**j - u**5 - 46*u**3 + 125 + 175*u + 10*u**4 - 10*u**2.
-(u - 5)**3*(u + 1)**2
Let n = -7174/15 - -478. Let q = 3/5 + n. What is f in 1/12*f**2 - q*f + 1/4 = 0?
1, 3
Let u(j) be the third derivative of 0 - 5/2*j**3 - 1/60*j**5 - 10*j**2 - 3*j + 2/3*j**4. Factor u(o).
-(o - 15)*(o - 1)
Let j(p) = -7*p**2 + 55*p + 50. Let n(b) = 36*b**2 - 280*b - 250. Let l(k) = -k**2 - 4*k + 19. Let o be l(3). Let y(c) = o*n(c) - 11*j(c). Factor y(v).
5*(v - 10)*(v + 1)
Find d such that -1679 + 66*d + 830 - 3*d**2 + 345 + 6*d**2 = 0.
-28, 6
Let j(w) be the first derivative of -169*w**4/4 - 78*w**3 - 54*w**2 + 227*w + 91. Let r(m) be the first derivative of j(m). Factor r(s).
-3*(13*s + 6)**2
Factor -3/8*o**4 + 27/8*o**2 - 81/8*o + 9/8*o**3 + 0.
-3*o*(o - 3)**2*(o + 3)/8
Let n = -2498 - -87431/35. Let r(c) be the first derivative of 0*c - 1/28*c**4 + 29 + 0*c**2 + 1/42*c**6 - 1/21*c**3 + n*c**5. What is i in r(i) = 0?
-1, 0, 1
Factor 4/7*b**2 + 0 + 9876/7*b.
4*b*(b + 2469)/7
Let a(m) be the third derivative of -3*m**2 + 11/735*m**7 + 0 - 47/210*m**5 - 2/7*m**4 - 4*m + 23/420*m**6 + 12/7*m**3 + 1/1176*m**8. What is t in a(t) = 0?
-6, -1, 1
Let w(z) = 24*z**3 - 1673*z**2 + 3306*z - 28. Let s(p) = -7*p**3 + 557*p**2 - 1102*p + 8. Let i(m) = -14*s(m) - 4*w(m). Solve i(c) = 0 for c.
0, 2, 551
Let l be -65 + (-1960)/(-240)*8. Factor -11/3*o + l*o**3 + 2/3*o**2 - 4.
(o - 3)*(o + 1)*(o + 4)/3
Suppose 207*l - 339*l = 361*l - 1972. Find i such that -3/2*i**3 + 0 - 10*i + 1/4*i**l - 9*i**2 = 0.
-2, 0, 10
Let g(m) = -20*m**4 + 40*m**2 + 11*m - 20. Let w = -259 + 573. Let p(o) = -w + 0*o**4 - 4*o**4 + 2*o + 8*o**2 + 310. Let n(r) = -2*g(r) + 11*p(r). Factor n(b).
-4*(b - 1)**2*(b + 1)**2
Let v(c) be the first derivative of c**6/40 + c**5/4 + c**4/2 - 113*c**2/2 - 72. Let p(u) be the second derivative of v(u). Factor p(l).
3*l*(l + 1)*(l + 4)
Let d(r) be the third derivative of r**5/150 + 172*r**4/15 + 118336*r**3/15 - 673*r**2. Det