)**3/7
Suppose -5*u + 2*c = 3*c + 4779, 1922 = -2*u - 3*c. Let z = 957 + u. Factor -4/5*k**4 + 0*k + 4/5*k**z + 0 + 0*k**3.
-4*k**2*(k - 1)*(k + 1)/5
Let r(j) be the third derivative of -j**7/105 + 5*j**6/12 - 11*j**5/15 - 4*j**4 + 199*j**2. What is c in r(c) = 0?
-1, 0, 2, 24
Let t(w) be the third derivative of -w**7/840 + 19*w**6/480 - 9*w**5/16 + 425*w**4/96 - 125*w**3/6 + 2201*w**2. Factor t(i).
-(i - 5)**3*(i - 4)/4
Let 32/3*b**4 + 1000/9 - 800/3*b + 50*b**2 + 1318/9*b**3 - 8*b**5 = 0. What is b?
-5/2, 2/3, 5
Let j = -19 - -22. Solve -3 + l**j - 3*l**2 + 29*l + 2*l**2 - 34*l = 0 for l.
-1, 3
Let d(v) be the third derivative of -v**5/210 - 59*v**4/12 - 814*v**3/7 - 10068*v**2. Factor d(z).
-2*(z + 6)*(z + 407)/7
Factor -21*c**3 - 15*c**3 - 19*c**3 - 808 + 3022*c + 88*c**3 + 838*c**2 - 25*c**3.
2*(c + 4)*(c + 101)*(4*c - 1)
Let g(y) be the third derivative of y**5/12 - 203*y**4/96 + 5*y**3/4 - 818*y**2. Factor g(w).
(w - 10)*(20*w - 3)/4
Let w(z) be the second derivative of -z**7/168 - z**6/24 - z**5/80 + 13*z**4/48 + z**3/12 - z**2 + 115*z + 2. Determine j so that w(j) = 0.
-4, -2, -1, 1
Let g be (152/(-20))/((-9366)/7805). Determine l, given that 19*l**3 + 4/3*l - g*l**5 - 2/3*l**4 + 44/3*l**2 + 0 = 0.
-1, -2/19, 0, 2
Suppose t - 2*y + 6 = -0*t, 5*t = -3*y + 9. Suppose 5*z + 7*z - 144 = t. Factor 18*m**2 + z*m**2 - 6*m**2 - 12*m + 135*m**3.
3*m*(5*m + 2)*(9*m - 2)
Let p(s) = s + 14. Suppose 4*l - l = -36. Let w be p(l). Factor 10 - 8*q + 33*q**3 + 23*q - 60*q**w + 2*q**3.
5*(q - 1)**2*(7*q + 2)
Suppose 2*n = 4*a + 22, 5*n - 76 = -0*n + 3*a. Let l = 19 - n. Suppose -11*o**2 + 8 + 28*o**2 - 7*o**2 - 12*o**l = 0. What is o?
-2, 2
Solve 6*h + 0 - 173/2*h**3 - 17/2*h**2 - 21*h**4 = 0.
-4, -1/3, 0, 3/14
Determine d so that 136 - 10*d**2 - 339*d + 105*d + 196*d + 165*d - d**3 = 0.
-17, -1, 8
Let x(p) be the first derivative of -3*p**5/5 + 129*p**4/4 - 40*p**3 - 126*p**2 - 3156. Factor x(r).
-3*r*(r - 42)*(r - 2)*(r + 1)
Suppose -9*n = -5*n - 12. Suppose 5*o = n*o + 4*v + 40, 3*v = -4*o + 91. Factor o*f**2 - 80 - 22*f**2 - 18*f**3 - 45*f**2 - 120*f + 13*f**3.
-5*(f + 1)*(f + 4)**2
Suppose -2*y - 9 = 5*v + 15, v - 2*y = 0. Let a be (-7)/(28/v)*3. Find s such that 2*s**3 + 5/2*s**2 + 0 - a*s = 0.
-2, 0, 3/4
Let r(c) be the first derivative of c**5/80 + 5*c**4/16 - c**2/2 - 18*c - 36. Let p(x) be the second derivative of r(x). Factor p(m).
3*m*(m + 10)/4
Let c(b) be the second derivative of -b**5/5 + 1061*b**4/3 - 4238*b**3/3 + 2118*b**2 - 153*b + 9. Factor c(k).
-4*(k - 1059)*(k - 1)**2
Let w(k) = -k + 31. Let s be w(29). Let z = -100 - -233. Determine q so that 4*q**4 + 6*q + 2*q - 145*q**2 + z*q**s = 0.
-2, 0, 1
Let w(r) = -3*r**3 + 36*r**2 + 14*r - 12. Let c(i) = -i**3 + 20*i**2 + 7*i - 6. Let k(l) = 7*c(l) - 4*w(l). Factor k(a).
(a - 1)**2*(5*a + 6)
Let r(z) = -11*z**2 - 108*z - 2916. Let i(g) = 2*g**2. Suppose -5*s = 3*t - 24 + 7, 4*t = -4*s + 20. Let m(o) = s*r(o) + 5*i(o). Suppose m(l) = 0. What is l?
-54
Suppose -u + 8 - 34 = 2*s, 3*u - 27 = s. Let p be (5 - 6)*3/s. Solve -1/5*l - 2/5 + p*l**2 = 0.
-1, 2
Let v(r) be the third derivative of r**6/160 + 11*r**5/80 + 7*r**4/16 - 10*r**3 - 2188*r**2. Factor v(x).
3*(x - 2)*(x + 5)*(x + 8)/4
Let t = 541 + -536. Factor z**5 - 10*z**3 + 10*z**3 - 5*z**2 + t*z**4 - 4*z + 3*z**3.
z*(z - 1)*(z + 1)**2*(z + 4)
Determine s, given that 14/11*s**2 - 270/11 - 2/11*s**3 + 6*s = 0.
-5, 3, 9
Let j = -461087 + 1844349/4. Determine b, given that j*b**4 + 7/2*b**3 + 0 + 8*b**2 - 32*b = 0.
-8, 0, 2
Let h(w) be the second derivative of -2/3*w**4 + 0*w**2 + 0 - 29*w + 8/3*w**3 + 3/20*w**5 - 1/180*w**6. Let k(y) be the second derivative of h(y). Factor k(m).
-2*(m - 8)*(m - 1)
Let i = -314 - -303. Let b be 3 + (i/7 - 1). Solve -36/7*d + b*d**2 + 108/7 = 0.
6
Solve -2193/2*b + 6*b**4 - 1437/2*b**3 - 1638*b**2 - 183 = 0.
-1, -1/4, 122
Solve 823*c + 554 - 1142*c**2 + 321*c - 1144*c**3 + 16 + 645 - c**4 - 72 = 0.
-1143, -1, 1
Suppose 783/2*v - 243/4*v**2 - 2523/4 = 0. Calculate v.
29/9
Let o(m) = -5*m**2 - 145*m + 10. Let t(q) = -2*q - 5. Let l(i) = -o(i) + 20*t(i). Determine d, given that l(d) = 0.
-22, 1
Let u(i) = i**3 + 14*i**2 + 12*i - 9. Let t be u(-13). Factor -25*p**3 + 15*p**3 + 34*p**3 - 20*p**4 - t*p**5.
-4*p**3*(p - 1)*(p + 6)
Suppose 0 = 10*r - 0*r - 80. Determine k, given that -r + k**2 - 16*k - 3*k**2 + 4*k - 2*k**2 = 0.
-2, -1
Let k be (-16 - (-2130)/132) + 20/55. Find u, given that -k*u**2 + 5/2*u + 3 = 0.
-1, 6
Suppose 3*t + 139 - 626 = 4*w, 16*w - 372 = -4*t. Determine f so that -t*f + 460/3*f**2 - 170/3*f**3 + 140/3 + 0*f**4 + 5/3*f**5 = 0.
-7, 1, 4
Let z(x) = -12 - 14*x**2 + 23*x**2 - 37*x**2 - 42*x + 14*x**3. Let m(o) = o**3 - o - 1. Let v(i) = -12*m(i) + z(i). Factor v(d).
2*d*(d - 15)*(d + 1)
Let c be 1715/(-12348)*(-8)/5. Suppose -2/9*s**5 - 2/3*s**4 - 2/3*s**3 + 0*s - c*s**2 + 0 = 0. What is s?
-1, 0
Let c be 2/(-9) - ((-1778)/63 + 5). Let x = -21 + c. Let -170*z + 164*z + x*z**2 - 4*z**2 = 0. Calculate z.
-3, 0
Let i(x) be the third derivative of x**5/20 + 77*x**4/8 - 120*x**3 - 1068*x**2. Factor i(v).
3*(v - 3)*(v + 80)
Let t = -56 - -60. Determine z, given that 10 + 16*z - 33*z + 10*z**5 - 9*z**5 + 16*z**3 - 8*z**t - 2*z**2 = 0.
-1, 1, 2, 5
Let l = 30320 - 90959/3. Let j(r) be the second derivative of 0 - 25*r - 1/45*r**6 - 1/10*r**5 + l*r**3 - 4/3*r**2 + 5/18*r**4. Determine x so that j(x) = 0.
-4, -1, 1
Let g be (-1 - (-4)/20)*(-15)/6. Let w(k) = 9*k - 14. Let j be w(g). Factor 2*h**2 + j + h + 0 - 18*h + 11*h.
2*(h - 2)*(h - 1)
Let g be -10 + 11 + -1 + 6. Let o(b) = 7*b**5 + 3*b**4 - 21*b**3 - 23*b**2 - 9*b + 3. Let t(v) = -v + 1. Let u(q) = g*t(q) - 2*o(q). Find c such that u(c) = 0.
-1, -3/7, 0, 2
Let h(f) = 2*f**2 + f. Let b(q) = -2*q**3 - 236*q**2 - 496*q - 252. Let x(s) = -b(s) + 10*h(s). Factor x(z).
2*(z + 1)**2*(z + 126)
Solve 41/4*p - 2*p**4 - 10*p**2 - 3/2 - 111/4*p**3 + 4*p**5 = 0.
-2, -1, 1/4, 3
Let m = 141 + 1979. Let 4*j**2 + 0*j**2 + m - 463 + 2215 - 2*j**2 + 176*j = 0. Calculate j.
-44
Factor 2/7*m**2 - 60/7 - 2*m.
2*(m - 10)*(m + 3)/7
Suppose -9777*u - 2244 = -10338*u. Factor -4*o**2 + 0*o**3 - 4*o + 1/4*o**5 + o**u + 0.
o*(o - 2)*(o + 2)**3/4
Let a = 4 + -2. Let x be 2 + -4*(128/20 + -6). Factor x*w**3 + 16/5 - 8/5*w - 4/5*w**a.
2*(w - 2)**2*(w + 2)/5
Let p(t) be the first derivative of -1/72*t**6 + 32/3*t**3 + 7/24*t**5 + 35 + 0*t + 0*t**2 + 5/3*t**4. Let k(b) be the third derivative of p(b). Factor k(m).
-5*(m - 8)*(m + 1)
Let f(n) = 3*n**3 - 8*n**2 + 21*n - 16. Let s(b) = 19*b**3 - 48*b**2 + 126*b - 95. Suppose 0 = -25*c + 20*c - 195. Let u(v) = c*f(v) + 6*s(v). Factor u(o).
-3*(o - 3)**2*(o - 2)
Let m(v) be the third derivative of -v**6/360 + v**4/6 - 34*v**3/3 - 17*v**2. Let x(w) be the first derivative of m(w). Suppose x(l) = 0. What is l?
-2, 2
Let a = -3018 - -3020. Suppose 120 = 9*v + 84. Solve -4/5*w**5 + 0 - 8/5*w - 4/5*w**v + 4/5*w**a + 12/5*w**3 = 0 for w.
-2, -1, 0, 1
Let b be 38*(-5)/70 + 38/(1482/117). Factor -6/7*y - b*y**3 + 18/7 - 10/7*y**2.
-2*(y - 1)*(y + 3)**2/7
Let y(c) = 2*c + 9. Let z be y(23). Let d(f) = 570*f**2 + 720*f - 125. Let p(g) = 63*g**2 + 80*g - 14. Let j(n) = z*p(n) - 6*d(n). Factor j(k).
5*(k + 2)*(9*k - 2)
Let 5248/3*x + 92/3*x**4 - 1712/3*x**3 + 2192/3*x**2 + 28/3*x**5 + 1280/3 = 0. Calculate x.
-10, -1, -2/7, 4
Let c(n) be the third derivative of -n**8/1512 - 11*n**7/945 - 2*n**6/27 - 22*n**5/135 + 8*n**4/27 + 64*n**3/27 - 95*n**2 - 7. Find v, given that c(v) = 0.
-4, -2, 1
Let x(n) be the third derivative of -n**7/1050 - n**6/300 + 3*n**5/100 + 3*n**4/20 + 2*n**2 + 1732. Factor x(v).
-v*(v - 3)*(v + 2)*(v + 3)/5
Factor -1/4*k**2 - 117/4*k + 59/2.
-(k - 1)*(k + 118)/4
Let p(x) be the first derivative of -4*x**3/7 - 345*x**2/14 + 51*x + 1168. Solve p(h) = 0 for h.
-119/4, 1
Let o(a) be the first derivative of -a**6/18 + 19*a**5/30 - 41*a**4/24 - 47*a**3/18 + 115*a**2/12 + 50*a/3 + 827. Solve o(w) = 0 for w.
-1, 5/2, 4, 5
Factor 0 - 3200/3*j + 160/3*j**2 - 2/3*j**3.
-2*j*(j - 40)**2/3
Let x(q) be the second derivative of q**3/3 + 25*q**2/2 + 4*q. Let o be x(-6). Suppose -3*l**3 + o*l + 4*l**2 + 57 - 112 + 61 = 0. Calculate l.
-1, -2/3, 3
Solve 44194*j**2 + 2177290 + 3241115 + 10410*j - 44189*j**2 = 0 for j.
-1041
Let y(x) = -18