 = 6661/1898 - 9/949. Factor 3/2*r**3 + 3 + 1/2*r**4 - p*r - 3/2*r**2.
(r - 1)**2*(r + 2)*(r + 3)/2
Suppose 4*g - 618 = 5*q, 3*q - 595 + 145 = -3*g. Suppose -10*s - 122 = -g. Find p such that 0*p**2 + 0*p + 3/8*p**4 - 1/4*p**s - 1/8*p**5 + 0 = 0.
0, 1, 2
Let u be (1/15 + 152/120)*24/2. Let b(s) be the first derivative of 0*s - 1/3*s**6 - s**2 - u - 9/5*s**5 - 3*s**3 - 7/2*s**4. Suppose b(f) = 0. What is f?
-2, -1, -1/2, 0
Let h(j) = -2*j**2 + 24*j - 46. Let v(x) = -107 - 112 + 324 + x - 104. Let t = -3 - -2. Let m(s) = t*h(s) + 4*v(s). Factor m(f).
2*(f - 5)**2
Suppose 7*p - 6*p + 3*u - 3 = 0, 0 = 5*u - 10. Let g be (-5 + (-222)/(-42))/(p/(-7)). Determine c, given that g + 2/3*c**2 - 4/3*c = 0.
1
Find v, given that 9/7*v**4 + 6/7*v**5 + 3/7 - 12/7*v**2 - 6/7*v**3 + 0*v = 0.
-1, 1/2, 1
Let b(h) be the first derivative of -160*h**3 + 144 + 44*h**2 - 22*h**4 + 484*h - 4/5*h**5. Determine n, given that b(n) = 0.
-11, -1, 1
Let g(b) be the first derivative of 2*b**5/5 + 47*b**4/2 + 508*b**3/3 + 328*b**2 - 7570. Let g(c) = 0. Calculate c.
-41, -4, -2, 0
Let d(k) be the first derivative of -225 - 8/9*k**3 - 5/3*k**2 + 1/6*k**4 + 0*k. Factor d(o).
2*o*(o - 5)*(o + 1)/3
Let x(p) be the second derivative of -p**6/180 + p**5/24 + 3*p**4/4 + 31*p**3/9 + 22*p**2/3 + 8*p + 6. Factor x(l).
-(l - 11)*(l + 2)**3/6
Let x(m) be the first derivative of m**3/2 + 112*m**2 + 149*m/2 - 11007. Let x(d) = 0. Calculate d.
-149, -1/3
Let h = -19313311344399/22456 + 860051270. Let f = -2/2807 - h. Suppose 9/8*v**2 - f + 3/8*v**3 - 3/8*v = 0. What is v?
-3, -1, 1
Factor -21/8*n - 1/8*n**3 - 9/2 + 7/4*n**2.
-(n - 12)*(n - 3)*(n + 1)/8
Let x(v) = -3*v**3 - 31*v**2 + 2*v + 55. Let w(n) = -2*n**3 - 19*n**2 + n + 28. Let r(c) = -5*w(c) + 3*x(c). Let q be r(0). Factor 15/2*d**2 - q*d + 15/2.
5*(d - 3)*(3*d - 1)/2
Factor 404/5 + 2024/5*p + 4*p**2.
4*(p + 101)*(5*p + 1)/5
Suppose 1/5*l**2 + 10*l + 96/5 = 0. What is l?
-48, -2
Let g(r) be the third derivative of -r**6/180 - 2*r**5/15 - r**4 - 25*r**3 + 47*r**2 + 3*r. Let p(n) be the first derivative of g(n). Factor p(u).
-2*(u + 2)*(u + 6)
Let z(s) = -2*s**2 + 34 - 17 - 20 + 47*s - 2*s**2. Let h(v) = -36*v**2 + 424*v - 28. Let u(f) = 3*h(f) - 28*z(f). Suppose u(g) = 0. What is g?
0, 11
Factor 2/3*p**4 - 10/3*p**3 - 44/3*p**2 - 32/3*p + 0.
2*p*(p - 8)*(p + 1)*(p + 2)/3
Let f(t) = -451*t + 6767. Let l be f(15). Let y(u) be the second derivative of 0 + 1/36*u**4 - 8*u - 4/3*u**l + 1/9*u**3. Suppose y(k) = 0. What is k?
-4, 2
Suppose 9*x - 24 = x. Suppose 4*z - 2*h = 54, 0*z - 48 = -x*z - h. Find k such that 412*k - 412*k - z*k**3 + 5*k**4 - 20*k**2 = 0.
-1, 0, 4
Let w be (9345/801)/(60/8). Determine v so that -2/9*v**4 + 0 + 10/9*v - 22/9*v**2 + w*v**3 = 0.
0, 1, 5
Let o(x) = 3*x**2 + 45*x + 2. Let h(p) = 7*p**2 + 92*p + 5. Suppose 5 + 3 = 4*l. Let k(f) = l*h(f) - 5*o(f). Factor k(c).
-c*(c + 41)
Factor 2891*c - 3*c**2 - 3185*c + 5*c**2 + 292.
2*(c - 146)*(c - 1)
Solve -2/11*k**5 + 448/11*k - 8/11*k**4 + 54/11*k**3 + 192/11 + 316/11*k**2 = 0 for k.
-4, -1, 6
Let j(x) be the second derivative of -83/4*x**5 - 105/2*x**2 + x + 6 - 2/3*x**6 + 125/12*x**4 + 415/6*x**3. Find m, given that j(m) = 0.
-21, -1, 1/4, 1
Suppose 85 = -276*x + 281*x. Factor -19 + 62 + 3*v + x - 3*v**2.
-3*(v - 5)*(v + 4)
Determine y so that -34*y - 2890/7 - 2/7*y**3 + 58/7*y**2 = 0.
-5, 17
Factor 250882 + 340*c**2 - 250422 - 12*c**3 - 415*c - 1077*c.
-4*(c - 23)*(c - 5)*(3*c - 1)
Let -6*u**3 - 12*u**3 - 752*u - 201840 - 2*u**3 + 17*u**3 - 711*u**2 - 43096*u = 0. What is u?
-116, -5
Let -2394 - 275 - 1097 - 3034 - 13604*w - 4*w**3 - 6808*w**2 = 0. What is w?
-1700, -1
Factor -2176*y**3 - 4*y**5 - 411*y - 292*y**4 - 5941*y - 2096 - 6368*y**2 - 3608*y + 1576*y - 2064.
-4*(y + 2)**4*(y + 65)
Let g(z) = 57*z**5 - 12*z**4 - 98*z**3 - z**2 + 152*z - 85. Let o(p) = -4*p**5 - p**3 - p**2 + 4*p + 1. Let d(q) = 5*g(q) + 65*o(q). What is w in d(w) = 0?
-3, -2, 2/5, 1, 6
Let m(x) be the first derivative of -x**4/2 - 4*x**3/3 + 3*x**2 + 1488. Factor m(l).
-2*l*(l - 1)*(l + 3)
Let i(s) be the third derivative of -9/20*s**6 + 15*s + 0*s**3 + 0 - 16*s**4 + 24/5*s**5 + 1/70*s**7 + 4*s**2. Factor i(w).
3*w*(w - 8)**2*(w - 2)
Let d(y) = y**3 - 20*y**2 + 20*y + 2. Let q be d(19). Suppose -q*h + 20*h = -2. Suppose -11*i**3 + 4*i**h + 6*i**3 + 7*i**3 = 0. What is i?
-2, 0
Factor -338*y**3 + 1008*y**3 + 492*y**2 + 993*y - 336*y**3 - 337*y**3 + 498.
-3*(y - 166)*(y + 1)**2
What is g in 656*g + 3141 + 1248*g - 3*g**2 + 805*g + 429*g = 0?
-1, 1047
Let -21*v**3 + 119 + 19*v**3 + 128*v + 100 - 68*v**2 - 27 + 2*v**4 = 0. What is v?
-6, -1, 4
Let h(y) be the third derivative of -y**6/540 - 2*y**5/135 + 7*y**4/27 - 32*y**3/27 - 2*y**2 + 113*y - 4. Factor h(g).
-2*(g - 2)**2*(g + 8)/9
Let z(y) be the third derivative of -y**5/180 - 5*y**4/24 + 50*y**3/9 - 2305*y**2. Let z(x) = 0. What is x?
-20, 5
Let a(q) = 18*q + 18. Suppose -77 = -b - 78. Let n be a(b). Factor n - 4/11*o - 2/11*o**2.
-2*o*(o + 2)/11
Let i(s) = 2*s**2 + 22*s + 8. Let a be i(-12). Solve -40*v**4 - a*v**2 - 5758 + 116*v**3 + 5758 + 4*v**5 - 192*v = 0 for v.
-1, 0, 3, 4
Find l, given that -2*l**2 + 55*l - 306*l + 871*l = 0.
0, 310
Suppose 0*y = 2*c + 3*y - 13, 4*c = -y + 11. Suppose -4*i + 14 = c*d, -2*i - 2*i = -4*d - 8. Factor 53*a + 27*a**2 + 427 + a**i + 302 + 190*a.
(a + 9)**3
Let i(a) be the third derivative of a**6/360 + 3*a**5/20 + 43*a**3/6 + 15*a**2. Let j(k) be the first derivative of i(k). Factor j(b).
b*(b + 18)
Let p(b) = 331*b - 1984. Let i be p(6). Let t be ((-88)/154)/((-1)/(-7) + -1). Determine c, given that 2*c**2 + 0 - 11/6*c**3 - i*c**4 + t*c + 7/6*c**5 = 0.
-1, -2/7, 0, 1, 2
Suppose -8328/5 - 43674/5*t**2 + 9992*t - 20412*t**3 - 98/5*t**4 = 0. Calculate t.
-1041, -1, 2/7
Let t be (-15 + 29 - 10)*((-3)/2 + 2). Solve 1/7 + 3/7*w - 2/7*w**3 + 2/7*w**t - 3/7*w**4 - 1/7*w**5 = 0 for w.
-1, 1
Suppose 2*y = -x + 13, -3*x + 0*x + 5*y = -61. Suppose -5*o + 4*h = -53, 0 = 2*o - 4*h - 9 - x. Factor 4*g**2 + 457*g - 5*g**2 - o - 451*g.
-(g - 3)**2
Let o(j) = 28*j**2 + 153*j + 14. Suppose -5*k = 10, 0*l + 5*l - 3*k = 11. Let y(z) = z**2 - 3*z + 2. Let q(s) = l*o(s) + 5*y(s). What is v in q(v) = 0?
-4, -2/11
Let w(m) be the third derivative of 0*m**3 + 4/21*m**7 + 45/8*m**4 - 5/336*m**8 + 0 - 3*m**2 - 3/4*m**6 + 0*m**5 - 10*m. Suppose w(q) = 0. Calculate q.
-1, 0, 3
Let n(p) = -27*p + 11*p + 9*p**2 - 3*p**2. Let x(h) = h**2 + 32*h - 18*h + 2*h - 16*h. Let g(o) = -n(o) + 2*x(o). Factor g(c).
-4*c*(c - 4)
Let u(m) be the first derivative of m**4/22 - 20*m**3/33 - 75*m**2/11 - 738. Factor u(z).
2*z*(z - 15)*(z + 5)/11
Let m(n) be the third derivative of 7/15*n**5 - 25*n**2 + 0*n + 16*n**3 - 25/6*n**4 + 0 - 1/120*n**6. Find c, given that m(c) = 0.
2, 24
Let x(f) be the second derivative of f**4 - 3487*f**3/2 - 1308*f**2 + 5320*f + 1. Find z, given that x(z) = 0.
-1/4, 872
Let u(a) be the second derivative of -a**4/3 + 178*a**3/3 - 348*a**2 + 1930*a. Factor u(t).
-4*(t - 87)*(t - 2)
Factor -564*w**2 + 5 + 14*w + 284*w**2 - 5 + 279*w**2.
-w*(w - 14)
Let a(l) be the second derivative of -48/11*l**2 - 49/33*l**3 + 2*l - 13 - 1/66*l**4. Let a(f) = 0. What is f?
-48, -1
Let v = 656 + -502. Suppose -300 + 9*s - 4*s**3 + 182*s**2 + 11*s - v*s**2 = 0. What is s?
-3, 5
Let x = 46836/82061 - -8/11723. Factor -x*l**2 - 4*l + 72/7.
-4*(l - 2)*(l + 9)/7
Suppose 45*c = 50*c + 80. Let z = 57 + c. Factor -16 + 222*k**2 - 204*k - 11*k**4 + z*k**4 - 3*k**5 + 88 - 117*k**3.
-3*(k - 3)*(k - 2)**3*(k - 1)
Let 2/21*p**2 + 4/3*p + 0 = 0. Calculate p.
-14, 0
Let i = 8334/17 + -60629/102. Let w = i - -211/2. Let 0 + 2/3*l + w*l**3 + 8/3*l**4 - 8/3*l**2 - 2*l**5 = 0. What is l?
-1, 0, 1/3, 1
Factor 0 + 152/11*v + 80/11*v**2 + 2/11*v**3.
2*v*(v + 2)*(v + 38)/11
Let s(k) be the third derivative of -k**5/270 + 35*k**4/36 - 104*k**3/27 - 158*k**2 - k. Factor s(w).
-2*(w - 104)*(w - 1)/9
Let w(x) be the second derivative of -x**6/6 + 27*x**5/4 - 125*x**4/12 - 45*x**3/2 + 65*x**2 + 1148*x. Let w(m) = 0. Calculate m.
-1, 1, 26
Let i(d) = 10*d**2 + 339*d + 284. Let k(w) = -4*w**2 - 168*w - 144. Let o(f) = 4*i(f) + 9*k(f). Factor o(j).
4*(j - 40)*(j + 1)
Solve -2318/5*x + 1/5*x**2 + 1343281/5 = 0.
1159
Let o(p) be the third derivative of p**5/20 + 4*p**4 + 1