 17/12*m**3 + 2/3*m**4 + 0*m**2. Factor l(p).
p*(p - 1)*(p + 17)/2
Let w(a) be the first derivative of a**5/5 - 55*a**4/4 - 58*a**3 - 2*a**2 + 232*a + 4616. Factor w(v).
(v - 58)*(v - 1)*(v + 2)**2
Let v = 1055 - 1039. Let s(p) be the second derivative of 1/3*p**2 + 0 - 7/27*p**3 + 1/27*p**4 - v*p. Factor s(j).
2*(j - 3)*(2*j - 1)/9
Factor 0 - 24*g**3 - 15123/2*g + 852*g**2.
-3*g*(4*g - 71)**2/2
Let o(h) = -50*h**2 - 1079*h + 1959. Let c(j) = 5*j**2 + 108*j - 198. Let n(l) = 21*c(l) + 2*o(l). Factor n(u).
5*(u - 2)*(u + 24)
Let n = 4909 + -4907. Factor -8/3 + 2*f - 1/3*f**3 + f**n.
-(f - 4)*(f - 1)*(f + 2)/3
Let s(h) be the second derivative of h**4/12 - h**3/6 + 74*h. Let j(u) = 6*u**2 + 13*u + 81. Let z(k) = -j(k) + 5*s(k). Factor z(i).
-(i + 9)**2
Let o(g) = 8*g**2 - 44*g - 48. Let q be (18/21)/3 - 260/(-70). Let k(p) = -7*p**2 + 42*p + 46. Let f(a) = q*k(a) + 3*o(a). Solve f(z) = 0 for z.
-1, 10
Suppose 914 = 3*o + 92. Suppose -130*v = -105*v - 100. Factor q**5 + 280*q**3 - o*q**3 + q**5 + 8*q**v.
2*q**3*(q + 1)*(q + 3)
Determine y, given that 0*y**3 + 100980*y - 3*y**4 - 498*y**2 - 735075 - 30*y**3 - 113*y**3 - 61*y**3 = 0.
-45, 11
Let h(f) = 8295*f - 199080. Let n be h(24). Suppose -x = 4*v + 9, 4*x - 6 = 5*x + 3*v. Let 1/2*j**4 - 1/2*j**x + 0*j + n*j**2 + 0 = 0. What is j?
0, 1
Let x = -106603 - -106603. Suppose 1/2*n + 0 - 3/4*n**2 + x*n**3 + 1/4*n**4 = 0. What is n?
-2, 0, 1
Let v(y) be the first derivative of y**4 - 128*y**3/3 + 62*y**2 - 3819. Suppose v(t) = 0. What is t?
0, 1, 31
Suppose -v + 3*v + 2*l - 18 = 0, 3*l + 13 = 5*v. Find o, given that -15*o**3 - 5227 - 15*o**4 + 5227 - 5*o**2 - 5*o**v = 0.
-1, 0
Factor -1188/7*k - 54/7 - 8712/7*k**2 - 21296/7*k**3.
-2*(22*k + 3)**3/7
Let b = -110939/20 + 5547. Let a(z) be the third derivative of -3/2*z**3 - b*z**5 - 5*z**2 - 1/2*z**4 + 0 + 0*z. Factor a(u).
-3*(u + 1)*(u + 3)
Let u = 188 + 1651. Let f = u + -1837. Determine l, given that 1 + 2/3*l - 1/3*l**f = 0.
-1, 3
Let l(y) be the first derivative of -y**7/70 + 3*y**5/25 - 116*y + 182. Let d(r) be the first derivative of l(r). Factor d(h).
-3*h**3*(h - 2)*(h + 2)/5
Let l = 4734097/466 + -10159. Let n = 693/932 + l. Let 0 + n*q**5 - 6*q**2 - 9/4*q**3 + 3/2*q**4 - 3*q = 0. What is q?
-2, -1, 0, 2
Let z(m) be the second derivative of m**7/13860 - m**6/495 + 7*m**5/660 + m**4/3 - m**3/2 - 70*m. Let j(o) be the third derivative of z(o). Factor j(k).
2*(k - 7)*(k - 1)/11
Let a(v) = -v**3 - 8*v**2 + 21*v + 12. Let x be a(-10). Let k be (-15)/x*(-55)/550. Determine z, given that 0 - 1/4*z**3 - k*z**2 + 0*z = 0.
-3, 0
Suppose -227 + 203 = -u. Factor 144*d - 31*d - 256 - u*d + 4*d**3 + 103*d + 60*d**2.
4*(d - 1)*(d + 8)**2
Let v be 5*14/120 + ((-20)/(-4))/(-15). Factor -v*u**3 + 3/2*u + 1/4*u**2 + 0.
-u*(u - 3)*(u + 2)/4
Suppose 23*w + 3*l - 23 = 16*w, l = 2*l + 4. Factor 1/4*s**w - 5/4*s**2 - 9/4*s**3 + 0 + 0*s - 3/4*s**4.
s**2*(s - 5)*(s + 1)**2/4
Let w be -55*(2 - (-92)/(-44)). Let p(f) be the third derivative of 16/5*f**w + 3/10*f**6 + 0 + 0*f + 21*f**2 + 32/3*f**3 + 26/3*f**4. Factor p(k).
4*(k + 4)*(3*k + 2)**2
Let y(m) = -m**2 + 50*m + 911. Let z be y(-14). Let o(w) be the second derivative of 0 + 7/66*w**4 - 7/33*w**3 + 3/110*w**5 - z*w - 3/11*w**2. Factor o(v).
2*(v - 1)*(v + 3)*(3*v + 1)/11
Let r(a) = a**2 - 7*a + 8. Let j be r(6). Factor 2*p**2 - p + p**3 - 3*p - j*p - p**2.
p*(p - 2)*(p + 3)
Let z(h) be the second derivative of h**4/66 + 652*h**3/33 + 106276*h**2/11 - 253*h - 1. Factor z(o).
2*(o + 326)**2/11
Find z, given that -20/7*z**4 + 456*z**2 - 2592/7 - 9648/7*z + 1244/7*z**3 - 16/7*z**5 = 0.
-6, -1/4, 2, 9
Let j be 52*(-40)/(-704) + -3. Let l = 269/110 + j. What is c in 0*c - 4/5*c**5 + 4/5*c**2 + 0 - l*c**3 + 12/5*c**4 = 0?
0, 1
Find m, given that 0 - 70291456/7*m**2 + 143877824/7*m - 817440/7*m**3 - 4/7*m**5 - 448*m**4 = 0.
-262, 0, 2
Let x(t) be the second derivative of t**6/360 - t**5/8 - 19*t**3/3 + t**2 + 18*t - 1. Let c(y) be the second derivative of x(y). Factor c(m).
m*(m - 15)
Let s(n) be the second derivative of n**6/240 - 3*n**5/20 + 5*n**4/4 + 67*n**3/2 - 193*n. Let w(k) be the second derivative of s(k). Solve w(a) = 0 for a.
2, 10
Let d(m) be the first derivative of -4*m**5/15 - 7*m**4/3 + 64*m**3/9 + 224*m**2/3 + 1195. Factor d(r).
-4*r*(r - 4)*(r + 4)*(r + 7)/3
Suppose 6*a - 3*y - 1827 = 2*a, 5*a - 4*y = 2285. Let u = -450 + a. Determine z, given that -4*z - 1/3*z**4 - 4/3 - 2*z**u - 13/3*z**2 = 0.
-2, -1
Let x = 47594 + -47587. Determine h so that -111/4*h**4 + 53/2*h**3 + 3*h**2 + x*h**5 + 0 - 2*h = 0.
-2/7, 0, 1/4, 2
Find o, given that -1308/5*o - 1306/5 - 2/5*o**2 = 0.
-653, -1
Let m(j) be the third derivative of j**6/240 - 59*j**5/60 - 121*j**4/12 - 122*j**3/3 + 1121*j**2. Let m(n) = 0. Calculate n.
-2, 122
Let t(o) = 2*o**2 - 24*o + 22. Let h = 774 - 763. Let j be t(h). Factor -3/4*z + j + 3/4*z**4 + 3/4*z**3 - 3/4*z**2.
3*z*(z - 1)*(z + 1)**2/4
Let r be ((-37)/(-111))/(4/(-3495)). Let m = r - -583/2. Let -3/4*z**4 - 11/8*z**3 + 1 - m*z**2 - 1/8*z**5 + 3/2*z = 0. Calculate z.
-2, -1, 1
Let y = 177544 - 177541. Factor 76/5*h**2 - 4/5*h**y - 64*h - 80.
-4*(h - 10)**2*(h + 1)/5
Let a(b) be the third derivative of -b**8/1176 + 122*b**7/735 - 3721*b**6/420 + 10*b**2 - 36. Factor a(n).
-2*n**3*(n - 61)**2/7
Let o(m) be the second derivative of m**2 - 5/54*m**4 + 1/90*m**5 - 2 + 1/9*m**3 - 7*m. Factor o(g).
2*(g - 3)**2*(g + 1)/9
Suppose 11*x = 31*x - 240. Let p be -3 + -1 + x*3/8. Factor p*d**2 - 1/4*d**4 - 1/2*d**3 - 1/4 + 1/4*d**5 + 1/4*d.
(d - 1)**3*(d + 1)**2/4
Let k(t) be the second derivative of t**5/10 - 7*t**4/3 - 49*t**3/3 - 34*t**2 + 18*t - 4. Factor k(a).
2*(a - 17)*(a + 1)*(a + 2)
Suppose -24 + 1/3*r**2 - 34/3*r = 0. Calculate r.
-2, 36
What is y in 504 - 1534*y**2 + 7*y**5 + 15*y**4 + 1356*y - 363*y**3 - 36*y**4 - 2*y**4 + 53*y**4 = 0?
-6, -2/7, 1, 7
Let j(p) = -4*p**2 - 144*p - 809. Let k be j(-29). Factor 8316/5*b**2 - 4606/5*b**k - 11664/5 + 1944/5*b + 686/5*b**4.
2*(b + 1)*(7*b - 18)**3/5
Let z(r) be the first derivative of -r**6/24 - r**5/20 + r**4/8 + r**3/6 - r**2/8 - r/4 - 211. Factor z(s).
-(s - 1)**2*(s + 1)**3/4
Factor -6/7*x - 22/21*x**3 + 0 - 2/21*x**4 - 38/21*x**2.
-2*x*(x + 1)**2*(x + 9)/21
Let m(x) be the first derivative of 5*x**5 + 73*x**4/4 - 2*x**3 - 50*x**2 + 8*x + 2600. Suppose m(n) = 0. What is n?
-2, 2/25, 1
Let u(k) = -4*k**4 + k**3 + k**2 - k. Let h(p) = 17*p**4 - 28*p**3 + 41*p**2 - 18*p. Let z(n) = -3*h(n) - 12*u(n). Find y, given that z(y) = 0.
0, 1, 22
Let u = -418227 - -836455/2. Solve 1152 + 48*k + u*k**2 = 0 for k.
-48
Let o(u) = -53*u - 8*u**2 - 61*u - 49*u + u**2 - 13 + 176*u. Let k(x) = -3*x**2 + 6*x - 6. Suppose q + 6 = 1. Let m(l) = q*k(l) + 2*o(l). What is a in m(a) = 0?
2
Let q be ((-9)/3)/(36/(-60)). Let i be q/(-6)*(-8 + 370/50). Factor 2*p + i*p**2 + 3/2.
(p + 1)*(p + 3)/2
Let a(n) = -n**2 + 3*n + 164. Let z be a(14). Let p be 4 + -1 + z + -13. Suppose -1/3*x + 1/3*x**3 + p*x**2 + 0 = 0. Calculate x.
-1, 0, 1
Let f(a) be the second derivative of 4*a + 2*a**2 - 3 + 11/4*a**3 + 1/6*a**4. Determine b, given that f(b) = 0.
-8, -1/4
Suppose 96/5*o - 68*o**4 - 14/5*o**5 - 82/5*o**3 + 0 + 68*o**2 = 0. What is o?
-24, -1, -2/7, 0, 1
Solve 477*t**2 - 217537*t + 1764 + 6*t**4 + 216004*t - 3*t**4 - 63*t**3 = 0.
3, 4, 7
Let i be 7 - (205975/5385)/5. Let x = 6/359 - i. Factor -8/3*j + 0 + 0*j**2 + x*j**4 + 2*j**3.
2*j*(j - 1)*(j + 2)**2/3
Suppose -2*v = -204*v + 808. Let q(m) be the first derivative of -3/5*m**3 - v + 3/5*m**2 + 0*m + 3/20*m**4. Factor q(o).
3*o*(o - 2)*(o - 1)/5
Let u(v) be the first derivative of -7*v**6/15 - 54*v**5/5 - 269*v**4/10 + 134*v**3/15 + 276*v**2/5 + 136*v/5 + 702. Suppose u(z) = 0. What is z?
-17, -2, -1, -2/7, 1
Let x(l) be the third derivative of l**6/540 + 101*l**5/45 + 10201*l**4/9 + 8242408*l**3/27 + 293*l**2. Factor x(s).
2*(s + 202)**3/9
Let a(l) be the third derivative of -1/7*l**7 + 0*l**3 + 7*l**2 + 3/8*l**6 + 0*l**4 + 0*l**5 + 0 + 0*l + 5/336*l**8. Factor a(g).
5*g**3*(g - 3)**2
Factor -12*p + 2/7*p**4 + 8/7*p**2 + 54/7 + 20/7*p**3.
2*(p - 1)**2*(p + 3)*(p + 9)/7
Let c = 63 + -99. Let j be 5*(c/(-15))/6. Factor -3*a**4 - 4*a**4 + 4*a**2 - j*a**3 - a**4 + 6*a**5.
2*a**2*(a - 1)**2*(3*a + 2)
Let n(f) = -15*f**2 - 19*f - 