= -5*b, -5*y + 3*y = -4*b + 6. Let f(r) = y*l(r) + 6*m(r). Factor f(t).
-5*(t - 2)*(t + 1)
What is c in -21*c**5 + 4311*c**3 - 3600 + 9291*c**2 - 1834*c - 2245*c + 309*c**4 - 4038*c - 2816*c + 643*c = 0?
-5, -2/7, 1, 24
Suppose -7*k = -15*k + 424. Find q such that -5*q**3 - k*q + 106*q + 2*q**2 - 50*q - 4*q**4 = 0.
-1, 0, 3/4
Let q(n) be the third derivative of n**6/180 + 28*n**5/45 + 55*n**4/3 - 400*n**3 - 3*n**2 - 19*n + 14. Find r such that q(r) = 0.
-30, 4
Let i(p) = 3*p**2 + p + 1. Let n(o) = 15*o**2 + 84*o + 6. Let f(b) = 6*i(b) - n(b). Factor f(t).
3*t*(t - 26)
Find c, given that -97200 + 3860*c**3 - 83160*c - 9912*c**2 + 89*c**4 + 1/2*c**5 = 0.
-90, -2, 6
Let f(a) be the first derivative of a**5/160 - 7*a**4/96 + a**3/6 + a**2 - 89*a + 43. Let j(g) be the first derivative of f(g). Factor j(b).
(b - 4)**2*(b + 1)/8
Let q(u) = -2*u**2 + 73*u - 38. Let k be q(36). Let w be (k/(-7))/(((-33)/(-84))/11). Find m such that -16/7 + 4/7*m**2 + 2*m**3 - w*m = 0.
-2, -2/7, 2
Let o = -569 + 566. Let a(u) = u**3 - 12*u**2 - 9*u + 8. Let s(l) = l**3 - 11*l**2 - 9*l + 6. Let b(t) = o*a(t) + 4*s(t). Factor b(r).
r*(r - 9)*(r + 1)
Let w(n) = 15*n**5 - 4*n**4 - 49*n**3 + 38*n**2 + 11. Let c(h) = -3*h**5 + h**4 + 10*h**3 - 8*h**2 - 2. Let g(r) = -11*c(r) - 2*w(r). Find x such that g(x) = 0.
-2, 0, 1, 2
Let h(u) be the second derivative of u**5/20 + 202*u**4 - 1617*u**3/2 + 1213*u**2 - 6228*u. Factor h(z).
(z - 1)**2*(z + 2426)
Let w(b) = -2*b**2 - 30*b + 8. Let v(i) = 3*i**2 + 36*i - 12. Let n(y) = 5*v(y) + 6*w(y). Determine s, given that n(s) = 0.
-2, 2
Let w(a) = -a**3 - 8*a**2 + a + 4. Let g be w(-10). Let n = g - 129. What is r in -n*r**2 + 0 + 4 + 64*r**2 = 0?
-2, 2
Let p be (768 - 769)/(10/(-6))*64/6. Factor 4/5*a**3 - 56/5 + 4*a + p*a**2.
4*(a - 1)*(a + 2)*(a + 7)/5
Let d(u) be the second derivative of -u**6/15 - 169*u**5/15 + 400*u**4/9 - 574*u**3/9 + 115*u**2/3 - 2226*u. Let d(a) = 0. What is a?
-115, 1/3, 1
Let j = 931421/95 - 186022/19. Find v, given that -j*v**2 - 12 - 132/5*v + 21/5*v**3 + 3/5*v**5 + 21/5*v**4 = 0.
-5, -2, -1, 2
Let v(s) = 21*s**5 - 32*s**4 - 54*s**3 + 13*s**2 + 14. Let h(k) = -11*k**5 + 14*k**4 + 27*k**3 - 6*k**2 - 8. Let o(n) = 7*h(n) + 4*v(n). Factor o(y).
y**2*(y - 5)*(y + 1)*(7*y - 2)
Factor -71656*x**3 + 71726*x**3 + 32*x**2 - 15*x - 25*x + 6*x + 4*x**4.
2*x*(x + 1)*(x + 17)*(2*x - 1)
Let t be 1/(-6)*-2*3/283. Let b = 561/1415 + t. Factor -6/5*f + 16/5*f**2 + 0*f**4 + 0 + b*f**5 - 12/5*f**3.
2*f*(f - 1)**3*(f + 3)/5
Solve -78*m**2 + 8*m**3 - 196 + 224*m - 1/4*m**4 = 0.
2, 14
Determine y, given that 0 - 8/7*y**2 + 22/7*y = 0.
0, 11/4
Let b(o) = -3*o**4 - 125*o**3 - 4*o**2 + 4*o + 2. Let l(c) = -c**4 - 2*c**2 + 2*c + 1. Let h(s) = 3*b(s) - 6*l(s). Factor h(q).
-3*q**3*(q + 125)
Let d(q) = 4*q + 50. Let x be d(-7). Suppose 0 = -2*r + 3*c + 13, -6*c + 10*c + x = 5*r. Let -2/3*b**3 - 2*b**r - 4/3 + 2/3*b**4 + 10/3*b = 0. What is b?
-2, 1
Let i(z) be the first derivative of -1/3*z**6 + 98/3*z**3 + 8 + 0*z**2 + 0*z - 35/2*z**4 - 26/5*z**5. Factor i(r).
-2*r**2*(r - 1)*(r + 7)**2
Let j(p) be the first derivative of 1/21*p**6 + 0*p + 0*p**4 - 53 - 1/7*p**2 + 4/21*p**3 - 4/35*p**5. Solve j(y) = 0.
-1, 0, 1
Suppose -17*z + 192 = 7*z. Let -z*a - a - a**3 + 12*a - 2*a = 0. What is a?
-1, 0, 1
Let f be 44/(-5566)*11 - 278/(-23). Let z(p) be the second derivative of 0*p**2 + 1/36*p**4 - f + p - 1/9*p**3. Determine x, given that z(x) = 0.
0, 2
Let j(u) = -u**3 + 17*u**2 + 17*u + 23. Let n be j(18). Suppose -n = 2*d - 49. Factor 2 + 15*v**2 + 45*v**3 - 4*v - d - 36*v.
5*(v - 1)*(3*v + 2)**2
Factor 952 - 4*z**2 - 5*z**2 - 5*z**2 - 954*z + 5*z**2 + 11*z**2.
2*(z - 476)*(z - 1)
Factor 52 + 74 - 126 + 20*v + 5*v**3 - 20*v**2.
5*v*(v - 2)**2
Let r(m) be the third derivative of m**8/168 + 101*m**7/105 + 98*m**6/15 + 194*m**5/15 + 395*m**2. Factor r(x).
2*x**2*(x + 2)**2*(x + 97)
Let g(v) = v**2 - 29. Let y be g(-7). Factor 15 - 198*r**2 + 21 + 195*r**2 - y*r - 13*r.
-3*(r - 1)*(r + 12)
Let j(l) = -20*l**2 + 224*l - 336. Let m(i) = -i**3 - 59*i**2 + 671*i - 974. Let n(h) = 11*j(h) - 4*m(h). Find v such that n(v) = 0.
-10, 1, 5
Let d(x) be the second derivative of 1/60*x**6 + 1/4*x**3 + 0*x**2 - 191*x - 5/24*x**4 - 1 + 1/40*x**5. Find b such that d(b) = 0.
-3, 0, 1
Find f, given that -440/3*f + 1/3*f**4 - 49/3*f**3 + 0 - 322/3*f**2 = 0.
-4, -2, 0, 55
Let b(s) = -2*s**2 - 18*s + 645. Let d be b(14). Let z(c) = c**3 + 3*c**2 + 2. Let k be z(-3). Factor -d + 8*o**2 - 5 - o**k - 12*o + 2.
(o - 2)*(7*o + 2)
Determine f, given that 6/7 - 32/7*f**2 - 4/7*f = 0.
-1/2, 3/8
Suppose 75 + 31/2*j + 1/2*j**2 = 0. Calculate j.
-25, -6
Let a(l) be the second derivative of -l**9/113400 - l**8/8400 + l**7/2700 - 17*l**4/4 + 4*l. Let t(d) be the third derivative of a(d). Solve t(q) = 0.
-7, 0, 1
Let y(k) be the third derivative of -k**6/780 + 5*k**5/39 - 49*k**4/156 - 1313*k**2. Find r, given that y(r) = 0.
0, 1, 49
Let t(s) = 5*s**2 - 21*s - 4. Let u(n) = 3*n**2 - n. Let f(p) = -t(p) + 2*u(p). Let z be f(-19). Factor -1/4*j**2 - 1/4*j**z - 1/2*j**3 + 0 + 0*j.
-j**2*(j + 1)**2/4
Let d = 9222 - 9222. Let h(p) be the second derivative of 1/39*p**3 + d + 0*p**2 - 1/39*p**4 - 28*p. Factor h(y).
-2*y*(2*y - 1)/13
Let s be -2 - (-40)/(-6)*12/(-8). Let r be (-5110)/(-1575) + s/(-10). Suppose -r*q**2 - 22/9*q**3 - 2/3*q**4 + 4/9 - 2/9*q = 0. Calculate q.
-2, -1, 1/3
Suppose 4*o = i - 7 + 2, -3*i + 4*o + 15 = 0. Solve 730*s**4 + 731*s**4 + s**5 - 36*s**2 + 2*s**i + 15*s**3 - 1443*s**4 = 0.
-4, -3, 0, 1
Let i(s) = 28*s**3 - 1036*s**2 + 532*s + 476. Let k(a) = -a**3 - a + 2. Let u(r) = i(r) + 20*k(r). Solve u(t) = 0.
-1/2, 1, 129
Let i(a) be the first derivative of a**8/7560 - a**7/1890 - a**6/1620 + a**5/270 - 37*a**3/3 + 15. Let k(g) be the third derivative of i(g). Factor k(t).
2*t*(t - 2)*(t - 1)*(t + 1)/9
Let t = 446726/993 + 262/331. Let s = t - 450. Let -10/9*m + s - 4/9*m**2 = 0. What is m?
-3, 1/2
Let n = 118563 - 118561. Determine a so that 12/5 - 69/5*a + 27/5*a**3 + 18*a**n = 0.
-4, 1/3
Let n(u) = 2*u**2 + 8*u + 8. Let p be n(-1). Determine h so that -238*h + 250*h + 33 + 21*h**p - 3*h**3 - 117 = 0.
-2, 2, 7
Let v(i) be the third derivative of -i**7/630 - 17*i**6/45 - 3107*i**5/90 - 4505*i**4/3 - 70225*i**3/2 - i**2 - 2*i - 702. Solve v(c) = 0.
-53, -15
Let k = 26072/12359 + -1106/727. Factor k*h**2 + 12/17*h**3 + 0 + 0*h + 2/17*h**4.
2*h**2*(h + 1)*(h + 5)/17
Let p(m) = -99*m**3 - 519*m**2 - 1808*m + 62. Let j(q) = 2*q**3 - 16*q**2 + q + 1. Let z(k) = 65*j(k) + 5*p(k). Factor z(o).
-5*(o + 5)**2*(73*o - 3)
Let q(z) be the first derivative of 4*z**3/21 - 66*z**2/7 - 216*z - 3029. Factor q(g).
4*(g - 42)*(g + 9)/7
Let h(b) be the first derivative of 3/10*b**5 + 0*b - 1/12*b**6 + 52 - 7/6*b**3 + 3/8*b**4 - 3/2*b**2. What is y in h(y) = 0?
-1, 0, 2, 3
Suppose 68*d + 63 - 248 = 87. Suppose 3/2*g**3 - 18*g**2 + 15/2*g + 3 + 6*g**d = 0. What is g?
-2, -1/4, 1
Suppose -z = -5*c - 8, -19 = -5*z - c + 5*c. Determine m so that 176*m**4 - 14*m - 28*m**5 - 42*m**2 - 34*m - 356*m**z + 325*m**2 - 27*m**2 = 0.
0, 2/7, 1, 2, 3
Let c(p) = 1 - p - 2*p**2 + 7*p + 1 + 0. Let g(d) = 112*d + 3*d**2 - 3 - 2 - 242*d + 119*d. Let v(k) = 5*c(k) + 2*g(k). Factor v(z).
-4*z*(z - 2)
Suppose -7*u + 13 + 15 = 0. Suppose -3*r = -2*j + 19, -4*j - 27 = 2*r - 41. Solve 0*h**3 + 1/5*h**j - 1/5*h + 2/5*h**u + 0 - 2/5*h**2 = 0.
-1, 0, 1
Let h(a) be the first derivative of 5*a**4/4 + 91*a**3/3 + 423*a**2/2 + 81*a - 7255. Solve h(u) = 0.
-9, -1/5
Let y = 77 + -76. Factor -1145*o + o**2 + 11 + 1152*o + y.
(o + 3)*(o + 4)
Suppose 23*y + 298*y + 393*y = 54*y. Factor y*n - 27/4*n**4 + 0 + 9/2*n**3 - 3/4*n**2.
-3*n**2*(3*n - 1)**2/4
Suppose 2*i - 10 = 3*h + 19, -5*h = 35. Let m(n) be the first derivative of 0*n**2 - 1/10*n**i + 0*n**3 - 1 + 0*n. Factor m(v).
-2*v**3/5
Let k = -56373/4 + 14094. Let l(z) be the second derivative of 6*z - 3/4*z**3 - k*z**2 - 3/40*z**5 + 0 - 3/8*z**4. Factor l(w).
-3*(w + 1)**3/2
Let p(n) be the second derivative of 5*n**4/12 + 2665*n**3/3 + 1420445*n**2/2 + 103*n - 3. Suppose p(v) = 0. Calculate v.
-533
Let t(k) = -k**3 - 2*k**2 + 19*k - 10. Let j be t(3). Let c(d) be the second derivative of 0 - 6*d - 1/2*d**3 + 1/12*d**4 - 2*d**j. Factor c(w).
(w - 4)*(w + 1)
Let 0*u +