*s. Factor o(v).
4*(v - 3)*(v + 4)
Let y(m) = 4*m - 208. Let q be y(57). Let w(b) = b - 20. Let u be w(q). Factor -4/17*v**2 + 2/17*v**3 + u - 6/17*v.
2*v*(v - 3)*(v + 1)/17
Solve 38/7*v - 1/7*v**4 + 40/7 - 8/7*v**3 - 9/7*v**2 = 0.
-5, -4, -1, 2
Factor -3/5*h**2 + 8556/5*h - 6100428/5.
-3*(h - 1426)**2/5
Let d = -29 - -39. Let o(y) = y**2 - 9*y - 10. Let j be o(d). Factor -h**2 + j*h**2 - 2*h + 4*h + 4 + h.
-(h - 4)*(h + 1)
Let l(d) = 7*d**2 - 2106*d + 549257. Let j(x) = x**2 - 2*x + 21. Let t(a) = -5*j(a) + l(a). Factor t(k).
2*(k - 524)**2
Let o(a) be the first derivative of 8*a**3/15 - 1302*a**2/5 + 260*a - 364. Let o(y) = 0. What is y?
1/2, 325
Let n(k) = 104*k**2 - 6189*k - 2396307. Let r(i) = -972*i**2 + 55700*i + 21566764. Let x(w) = 28*n(w) + 3*r(w). Factor x(u).
-4*(u + 774)**2
Suppose k + 2 - 32 = 0. Let 53 - 10*b**4 + 8*b - 35*b**3 - 3*b - 43 - k*b**2 = 0. Calculate b.
-2, -1, 1/2
Let v = 30573/2 - 336299/22. Let g be (18/4)/(297/36). Let 10/11*w - v*w**2 - g - 2/11*w**3 = 0. What is w?
-3, 1
Let z = 1101094 - 1101094. Let t(x) = -x + 6. Let f be t(6). Factor 1/4*u**5 + f + 1/4*u**4 + 0*u**2 + z*u + 0*u**3.
u**4*(u + 1)/4
Let y = -499838 + 499838. Factor 2/3*v**3 + 0*v - 10/3*v**2 + y.
2*v**2*(v - 5)/3
Let n be 23 + -18 - (0 + -3). Factor n - 5*z**2 + 8 + 13*z**2 - 66*z.
2*(z - 8)*(4*z - 1)
Suppose 2*o = -4*r + 4, -2*o - 6 = -5*o + r. Suppose -o*c - 3*c + 65 = 0. Solve -5*h**2 + 8*h**2 - 5 + c*h**2 - 10*h - h**2 = 0.
-1/3, 1
Let h(q) be the third derivative of -q**6/40 - 1067*q**5/5 - 4549685*q**4/8 + 4558225*q**3 + 104*q**2 + 7*q - 5. Factor h(z).
-3*(z - 2)*(z + 2135)**2
Let u be 180/72*(-24)/(-15). Let w(r) be the second derivative of -10*r - 1/3*r**u - 4*r**3 + 0 + 14*r**2. Determine o, given that w(o) = 0.
-7, 1
Factor -7*n**2 - 9/4*n**3 + 13*n + 20.
-(n - 2)*(n + 4)*(9*n + 10)/4
Let r(y) be the second derivative of 1/4*y**4 + 34*y + 52*y**3 + 1 + 4056*y**2. Solve r(s) = 0.
-52
Let t = 6178 - 6168. Let p(m) be the third derivative of -1/30*m**5 - t*m**2 + 5/12*m**4 + 0*m + 2*m**3 + 0. Factor p(h).
-2*(h - 6)*(h + 1)
Let j = -18/29 + 184/203. Let d(l) = -30*l**2 - 151*l - 5. Let h be d(-5). Find q, given that h + 0*q**2 - j*q**4 + 8/7*q - 6/7*q**3 = 0.
-2, 0, 1
Suppose 4*q + 41 = 149. Solve -13*b**3 - q*b**3 + 5*b**2 + 25*b**3 = 0 for b.
0, 1/3
Let g be (0/(180/10))/(-4 + 1). Let a(p) be the third derivative of 12*p**2 - 1/540*p**5 + 2/27*p**3 + 0 + g*p + 1/72*p**4. Factor a(h).
-(h - 4)*(h + 1)/9
Let i(r) be the second derivative of 1/18*r**3 + 8*r - 1/72*r**4 - 5 + 0*r**2. Determine n, given that i(n) = 0.
0, 2
Let i = -16 + 20. Suppose i = -3*g + 5*g. Solve 11*q**4 - q**2 + q**2 - 9*q**4 - 2*q**g = 0 for q.
-1, 0, 1
Let b(k) be the second derivative of -k**5/100 + 27*k**4/4 + 203*k**3/15 - 217*k - 6. Factor b(v).
-v*(v - 406)*(v + 1)/5
Let y be ((-6)/7)/((-12)/2324). Let j = y - 663/4. What is u in j*u**3 + 1/2*u + 0 + 3/4*u**2 = 0?
-2, -1, 0
Let s be (-30)/(-9) - 44/(3828/(-145)). Factor 30/7*l - 3/7*l**s + 0 - 87/7*l**2 + 81/7*l**3 - 3*l**4.
-3*l*(l - 1)**3*(l + 10)/7
Let j(x) = 772*x**2 - 69482*x + 180. Let t be j(90). Factor t + 1/4*q**2 + q.
q*(q + 4)/4
Factor -58/3*l**4 + 0*l + 238/3*l**3 + 0 + 2890/3*l**2 + 2/3*l**5.
2*l**2*(l - 17)**2*(l + 5)/3
Let a(j) = j**2 + 8*j + 1. Let h(q) = -10*q**2 - 255*q + 5485. Let r(p) = 5*a(p) + h(p). Let r(l) = 0. Calculate l.
-61, 18
Factor -19*b**2 + 4 - 16*b - 62*b**3 - 18*b**3 + 32 + 79*b**3.
-(b - 1)*(b + 2)*(b + 18)
Let c = -2976 + 2980. Let h be 5*((2 - -1) + -2). Let 4*v**3 + 2/5 + 2*v + 2*v**c + 4*v**2 + 2/5*v**h = 0. Calculate v.
-1
Let f(l) be the first derivative of 3*l**5/20 - 5*l**4/4 - 4*l**3 + 18*l**2 + 125*l + 72. Let s(z) be the first derivative of f(z). Factor s(c).
3*(c - 6)*(c - 1)*(c + 2)
Let v = 190 - 170. Suppose -v*z**2 + 33*z + 6484 + 4*z**3 - 6502 + 0*z**2 = 0. What is z?
3/2, 2
Let t = 1818376 - 12728552/7. Factor t*n**3 - 2/7*n**4 - 876/7*n**2 - 722/7 + 1520/7*n.
-2*(n - 19)**2*(n - 1)**2/7
Let k(a) = 7*a**4 - 4*a**3 - 11*a**2 + 5. Let f(i) = 5*i**4 - 7*i**4 - 6*i**2 - 2*i**3 + 3 + 4*i**4 + 2*i**4. Let d(g) = 5*f(g) - 3*k(g). Factor d(w).
-w**2*(w - 3)*(w + 1)
Suppose 98*p - 36 = 94*p. Suppose 5*v - x - 13 = 0, 0 = 4*v - 3*x - 15 + p. Find w, given that 2/3*w**2 + 0*w**4 + 0 - 1/3*w**5 + w**v + 0*w = 0.
-1, 0, 2
Let m(a) = -15*a + 3*a + 23*a + a**3 - 6 + 2*a**3. Let t(z) = -8*z**3 - 32*z + 18. Let r(k) = -11*m(k) - 4*t(k). Factor r(n).
-(n - 2)*(n - 1)*(n + 3)
Let o(r) be the third derivative of r**5/30 + 3*r**4/4 - 70*r**3/3 + 10*r**2 - 9*r - 1. Find g, given that o(g) = 0.
-14, 5
Let o = -10820 - -54101/5. Let -3/5*z**2 + 4/5 + 0*z - o*z**3 = 0. What is z?
-2, 1
Let i(o) = o**4 + o**3 + o. Let t(h) = -4*h**5 + 630*h**4 - 24958*h**3 + 24336*h**2 + 2*h. Let f(y) = -2*i(y) + t(y). Factor f(p).
-4*p**2*(p - 78)**2*(p - 1)
Suppose -362*h - 6486 = -368*h. Let p = 1083 - h. Determine n so that -3*n - 7/4*n**4 + 11/4*n**p - 1 + 3*n**3 = 0.
-1, -2/7, 1, 2
Let r = -674/117 + 229/39. Let i(h) be the second derivative of 18*h + 1/27*h**4 - 1/45*h**6 - 1/45*h**5 + r*h**3 + 1/9*h**2 - 1/189*h**7 + 0. Solve i(y) = 0.
-1, 1
Factor -1/3*h**2 - 205/3*h - 406/3.
-(h + 2)*(h + 203)/3
Let t(u) be the third derivative of 4*u**7/735 - u**6/4 + 223*u**5/105 + 1165*u**4/28 - 300*u**3/7 - 295*u**2. Suppose t(x) = 0. Calculate x.
-4, 1/4, 15
Let l(k) = -k**3 - 3*k**2 + 10*k. Let f be (-5 + 2)/((-27)/(-45)). Let j be l(f). Find d such that j*d**2 - 9/2*d**4 + 0 + d**3 + 0*d = 0.
0, 2/9
Let o(g) be the second derivative of -g**7/14 + 24*g**5/5 - 12*g**4 - 56*g**3 + 288*g**2 + 2669*g. Determine j so that o(j) = 0.
-6, -2, 2, 4
Let o(d) = -14*d - 70. Let f be o(-5). Let m(c) be the first derivative of 10 - 2/27*c**3 + 0*c + f*c**2. Factor m(j).
-2*j**2/9
Let b = 24613309/61636 + 1/184908. Let -41/3*l**4 - 1121/3*l - 361/3 - 478/3*l**3 - 1/3*l**5 - b*l**2 = 0. What is l?
-19, -1
Find z, given that -16241 - 253*z**3 - z**4 + 48499 + 4845*z + 10896*z + 896*z + 1856*z**2 - 17729*z**2 = 0.
-127, -1, 2
Let 0 - 2/7*v**2 - 96/7*v = 0. What is v?
-48, 0
Let o(k) be the first derivative of k**7/840 + k**6/120 + k**5/60 + 70*k**3/3 + 83. Let y(b) be the third derivative of o(b). Determine z so that y(z) = 0.
-2, -1, 0
Suppose -6*h + 3*h - 174 = 0. Let u = -30 - h. Determine y so that -u + 8 + 649*y**2 + 120*y - 224*y**2 = 0.
-2/5, 2/17
Factor -66*r**2 + 3*r**4 - 110 - 8 - 129067*r + 129331*r - 35 - 48*r**3.
3*(r - 17)*(r - 1)**2*(r + 3)
Let s = 28/4519 - -22511/13557. Factor 1/3*k**2 + 2*k + s.
(k + 1)*(k + 5)/3
Suppose 8*o = 38 - 6. Suppose 4*w + 6 = 2*g, 0*g + 16 = o*g - 4*w. Factor 0*y + 4*y + 55*y**4 - 18*y**3 - 2*y**2 - 120*y**4 - 10*y**g + 91*y**4.
-2*y*(y - 1)**3*(5*y + 2)
Let l(y) be the second derivative of 1089/4*y**2 + 1/24*y**4 - 11/2*y**3 + 7 - 3*y. Factor l(k).
(k - 33)**2/2
Factor -1/11*j**2 - 3/11 + 4/11*j.
-(j - 3)*(j - 1)/11
Let s = 40 - 18. Suppose -5*p - o = -s, 2*p + 0*o - 2 = 3*o. Find k such that -10*k + 5*k**3 + 0*k - p*k**2 + 11*k**2 - 2*k**2 = 0.
-2, 0, 1
What is y in 31*y**3 - 146 + 56 + 24*y**3 + 9*y**4 + 180*y**2 - 4*y**4 - 230 + 80*y = 0?
-4, 1
Factor -152/3 + 1/3*u**2 - 34/3*u.
(u - 38)*(u + 4)/3
Let 1/7*j**4 - 1408/7 + 264/7*j**2 + 50/7*j**3 - 32/7*j = 0. Calculate j.
-44, -4, 2
Determine w so that -7*w**3 + w**3 - 15*w**4 + 18*w**4 + 5*w**3 - 36*w**2 - 12*w - 2*w**3 + 48 = 0.
-2, 1, 4
Let w be (15/12)/((-2)/80). Let g = -42 - w. Factor -2*h**5 - 29*h**4 + 63*h**4 - 26*h**4 - g*h**3.
-2*h**3*(h - 2)**2
Let d be 2/13 + (-52)/338. Suppose 979*t + 18 = 959*t + 98. Determine m, given that -16/9*m**2 + 1/9*m**5 + 4/9*m**t + d*m**3 - 16/9*m + 0 = 0.
-2, 0, 2
Suppose 183/8*m**2 + 3/8 + 93/4*m = 0. Calculate m.
-1, -1/61
Let s(r) be the second derivative of r**4/48 + 23*r**3/3 - 525*r + 1. Factor s(b).
b*(b + 184)/4
Let k be (-16)/152 + 16 + 5270/969. Determine v, given that 1/3*v**2 + 16/3*v + k = 0.
-8
Let d(m) be the third derivative of m**6/10 - 53*m**5/20 - 43*m**4/8 + 7*m**3 - 505*m**2. Factor d(c).
3*(c - 14)*(c + 1)*(4*c - 1)
Let m be 77/25 + (-1071)/765*2/35. Let s(v) be the first derivative of 3/8*v**2 + v - 1/12*v**m - 27. Factor s(d).
-(d - 4)*(d + 1)/4
Let k(z) be the third derivative of z**5/480 - 19*z**4/64 - 63*z**3/8 + 107*z**2 - 1. Factor k(m).
(m - 6