z**3 = 0. Calculate z.
-1, 1
Let y = 4183/3 + -1394. Let z(s) be the second derivative of 0 + 15*s - 5/6*s**2 - 1/36*s**4 - y*s**3. What is f in z(f) = 0?
-5, -1
Let d(x) be the third derivative of x**2 + 0*x**3 + 0 + 13/96*x**4 - 7/120*x**5 - 6*x + 1/480*x**6. Factor d(w).
w*(w - 13)*(w - 1)/4
Let i(y) = y**3 + 37*y**2 - 5*y - 185. Let q be i(-37). Let t(o) be the second derivative of 1/60*o**5 + 19*o - 1/6*o**3 + q*o**4 + 0 + 1/3*o**2. Factor t(m).
(m - 1)**2*(m + 2)/3
Let z be -1 - 350/20*16/(-10). Factor z*h + 5*h**3 - 17*h - h**2 - 4*h**2 - 20*h.
5*h*(h - 2)*(h + 1)
Determine x so that 0*x**3 + 2*x**2 + 43*x - 7913163 + 7913203 - x**3 = 0.
-5, -1, 8
Suppose 3*z - 12 = -4*h - 3, -3*h + 12 = -3*z. Factor -59 - h*i - i**3 - 4*i**2 + 2*i**2 + 65 + 8*i.
-(i - 2)*(i + 1)*(i + 3)
Let g be ((-31)/930)/(5/(-4)). Let n(m) be the third derivative of -1/300*m**6 + 0*m**4 + g*m**5 + 14*m**2 + 0*m**3 + 0 + 0*m. What is s in n(s) = 0?
0, 4
Let s = 151 - 140. Let z(i) = -7*i**2 + 6*i + 10. Let k(n) = 13*n**2 - 11*n - 19. Let d(q) = s*z(q) + 6*k(q). Factor d(j).
(j - 2)*(j + 2)
Let p(m) be the third derivative of -1/30*m**4 + 1/10*m**3 - 32*m**2 + 2 + 0*m + 1/300*m**5. Factor p(g).
(g - 3)*(g - 1)/5
Let h be 0 + 12/54*3 + (-56)/(-24). Let a(w) be the first derivative of 10 - 10*w**2 - w**4 - 16/3*w**h - 8*w. Factor a(i).
-4*(i + 1)**2*(i + 2)
Let l(s) = 54*s**4 - 228*s**3 + 30*s**2 + 123*s + 21. Let p(j) = -13*j**4 + 56*j**3 - 7*j**2 - 31*j - 5. Let u(q) = -5*l(q) - 21*p(q). Factor u(d).
3*d*(d - 12)*(d - 1)*(d + 1)
Let r(l) = 5*l**3 - 4*l**2 - 73*l + 146. Let k be r(2). Let x(f) be the first derivative of -2/9*f**2 - k + 0*f - 2/27*f**3. Factor x(c).
-2*c*(c + 2)/9
Let a(r) be the first derivative of -r**4/20 + 3*r**3/5 - 3*r**2/5 - 16*r/5 - 343. Solve a(x) = 0.
-1, 2, 8
Let x(w) be the third derivative of w**6/70 - 43*w**5/140 + 9*w**4/8 - 998*w**2 - w. Determine z, given that x(z) = 0.
0, 7/4, 9
Factor 912*c**2 + 31*c**4 - 5*c**4 + 83833*c**3 + c**4 + 180*c - 83368*c**3.
3*c*(c + 2)*(c + 15)*(9*c + 2)
Let x = -10232 - -10235. Let j(m) be the second derivative of -2*m**2 + 0 + 1/5*m**5 + m - m**4 + 2*m**x. Suppose j(z) = 0. Calculate z.
1
Determine d so that -600 + 5*d**5 + 135*d**3 + 3029*d - 50*d**2 + 50*d**4 - 5758*d + 2109*d = 0.
-5, -3, -2, 2
Let u(d) = -15*d**3 - 110*d**2 - 280*d - 165. Let l(b) = 23*b**3 + 165*b**2 + 422*b + 248. Let j(c) = -5*l(c) - 8*u(c). Factor j(z).
5*(z + 1)*(z + 2)*(z + 8)
Suppose 4*l + 21 = 3*x, 5*x - 5 - 4 = -2*l. Let f be 12/l - 319/(-77). Suppose 0 - 1/7*k**3 + 0*k - 2/7*k**2 + f*k**4 = 0. What is k?
-1, 0, 2
Let j(g) be the second derivative of g**5/10 - 19*g**4/6 - 281*g**3/3 - 261*g**2 + 44*g + 22. Suppose j(w) = 0. Calculate w.
-9, -1, 29
Let z(s) = 2*s**2 + 5*s - 12. Let x be (-2*1/3)/((-59)/354). Let k(c) = -c**2 - 7*c + 12. Let a(m) = x*z(m) + 5*k(m). Factor a(f).
3*(f - 4)*(f - 1)
Let s = -170 - -293. Suppose -32 = -5*o + s. Determine q so that 0*q**2 + 26*q**4 - 4*q**3 + 4*q**2 - o*q**4 + 3*q**5 = 0.
-1, 0, 2/3, 2
Let j(u) be the third derivative of -4*u**6/195 - 12*u**5/65 - 27*u**4/52 + 2*u**2 - 357*u. Factor j(v).
-2*v*(4*v + 9)**2/13
Suppose 246/11*w**3 - 336/11 + 4*w**4 + 2/11*w**5 + 292/11*w**2 - 248/11*w = 0. What is w?
-14, -6, -2, -1, 1
Let k(g) = 2*g**3 - 2*g**2 - g. Let w(s) = -15*s**3 + 66*s**2 - 95*s + 52. Let p(f) = -24*k(f) - 3*w(f). Solve p(b) = 0.
-52, 1
Suppose 41*r + 4432 = 49*r. Factor -8*b**3 + 291 + 279 + b**4 + 24*b**2 - r - 32*b.
(b - 2)**4
Solve 4446*u - 2404*u**2 + 1451656 + 195587 + 2407*u**2 = 0 for u.
-741
Let m(f) = -9*f**2 + 9*f - 486. Let y(s) = 2*s**2 + 12*s + 1. Let o(c) = m(c) + 6*y(c). Find v, given that o(v) = 0.
-32, 5
Find f such that -5/2*f + 4320*f**4 + 0 + 90*f**2 - 1080*f**3 = 0.
0, 1/12
Factor 7/2*a**2 + 3*a + 0 + 1/2*a**3.
a*(a + 1)*(a + 6)/2
Factor -2646 - 84*c + 3/2*c**3 + 57/2*c**2.
3*(c - 9)*(c + 14)**2/2
Let q(u) = 25*u**2 + 20*u + 5. Let y(i) be the second derivative of -i**4/12 - i**3/6 + i**2 - 36*i - 1. Let v(c) = -q(c) + 5*y(c). Find w, given that v(w) = 0.
-1, 1/6
Let s be 2 + (-554)/(-35)*21/(-168). Let c(g) be the second derivative of 0*g**2 + 1/70*g**6 + 0*g**4 + 0 + 0*g**3 - 3*g - s*g**5. Determine i so that c(i) = 0.
0, 1
Let i be (-125)/(-20) - 2/(7 + 1). Let t(q) = -2*q**3 + 14*q**2 - 2*q + 12. Let r(l) = l**3 - l**2 + l - 2. Let z(g) = i*r(g) + t(g). Let z(o) = 0. What is o?
-1, 0
Suppose -2*v = 3*a + 48 - 51, 4*a + 2*v = 6. Suppose 4*u**3 + 268 + 52 + 3*u**3 - u**3 - 155*u**2 - u**a - 170*u = 0. What is u?
-2, 1, 32
Let -54/7*j**3 - 2/7*j**4 - 48/7*j**2 + 104/7*j + 0 = 0. Calculate j.
-26, -2, 0, 1
Let r(n) be the first derivative of 0*n - 1/900*n**6 - 42 - 8/3*n**3 + 0*n**4 - 1/1500*n**5 + 0*n**2. Let k(u) be the third derivative of r(u). Factor k(q).
-2*q*(5*q + 1)/25
Let f(a) be the first derivative of 75*a**4/8 - 135*a**3 - 1053*a**2/4 - 162*a + 715. Factor f(q).
3*(q - 12)*(5*q + 3)**2/2
Let i(b) be the second derivative of -b**6/135 - 94*b**5/45 - 187*b**4/54 + 5951*b. Factor i(j).
-2*j**2*(j + 1)*(j + 187)/9
Let p(i) be the second derivative of 5*i**3 + 1/10*i**5 + 13/8*i**4 - 37*i + 0 - 1/40*i**6 + 23*i**2. Let t(s) be the first derivative of p(s). Factor t(m).
-3*(m - 5)*(m + 1)*(m + 2)
Solve 0 + 0*x + 13*x**5 + 4*x**2 - 197/3*x**4 - 224/3*x**3 = 0.
-1, 0, 2/39, 6
Let p(m) = m**3 + 9*m**2 + 7*m. Let i be p(-8). Factor 4*r - 6*r + i*r + 2*r**2 - 20.
2*(r - 2)*(r + 5)
Find v, given that 586*v**2 + 677*v**2 - 2*v**5 + 3*v**5 + 185*v**3 - 1168*v**2 - 95*v**4 - 186*v = 0.
-1, 0, 1, 2, 93
Suppose 10 = 2*q + 3*q. Suppose -3 = -5*n - 4*b + 15, b = 2*n - q. Factor -91*l**n - l + 45*l**2 + 47*l**2.
l*(l - 1)
Let i(y) = 16*y**3 - 267*y**2 + 876*y - 526. Let z(b) = 3*b**3 - 54*b**2 + 175*b - 106. Let m(n) = 2*i(n) - 11*z(n). Factor m(q).
-(q - 57)*(q - 2)*(q - 1)
Let z(t) be the first derivative of 4*t**5/5 - 21*t**4 - 204*t**3 - 478*t**2 - 432*t - 1076. Determine s, given that z(s) = 0.
-4, -1, 27
Let y(s) be the first derivative of -s**3/5 + 321*s**2/5 - 639*s/5 - 2590. Determine z, given that y(z) = 0.
1, 213
Let i(n) = -n**3 + 31*n**2 - 58*n + 3. Let m be i(29). Let l be -12 + m - (-84)/9. Factor 8/3*c**2 + 0 - 4/3*c - 5/3*c**3 + l*c**4.
c*(c - 2)**2*(c - 1)/3
Let u be 10 + 0 + (17 - 24). Suppose n = -8*q + 1 + 17, 10 = u*n + 2*q. Factor -g**n - g + g**4 + 0 + 1/4*g**5 + 3/4*g**3.
g*(g - 1)*(g + 1)*(g + 2)**2/4
Factor -84437*a**5 - 39947*a + 564*a**4 - 85153*a + 55720*a**2 - 9688*a**3 + 84441*a**5 + 78500.
4*(a - 5)**3*(a - 1)*(a + 157)
Suppose 5*f = 5*h + 20, 4*f = 5*h + 667 - 651. Factor h - 22/15*p + 8/5*p**2 - 2/15*p**3.
-2*p*(p - 11)*(p - 1)/15
Let y(g) be the second derivative of -g**6/180 + 7*g**5/300 - g**4/30 + 11*g**3/3 + g**2 - 5*g + 2. Let w(l) be the second derivative of y(l). Factor w(t).
-2*(t - 1)*(5*t - 2)/5
Let c(p) = -p**4 + p**3 - 2*p**2 - p + 1. Let k(r) = -15*r**4 + 27*r**3 - 3*r**2 - 27*r - 6. Let t(q) = -12*c(q) + k(q). Suppose t(f) = 0. Calculate f.
-1, 1, 6
Let m be (-3)/(-6)*(0 + -2). Let p be (-1)/(4 - 4 - m/(-5)). What is v in 19*v**4 + 32 - 6*v**2 - 20*v + p*v**3 - 12*v - 18*v**4 = 0?
-4, 1, 2
Solve 39/5 + 38/5*c - 1/5*c**2 = 0 for c.
-1, 39
Let w(j) = 27*j + 28*j + j**2 + 1 - 56*j. Let m(x) = x**2 + 20*x + 21. Let h be m(-19). Let a(o) = 4*o**2 - 3*o + 8. Let l(z) = h*a(z) - 10*w(z). Factor l(p).
-2*(p - 3)*(p + 1)
Factor -10/3*t**2 + 2/15*t**3 - 112/15 - 164/15*t.
2*(t - 28)*(t + 1)*(t + 2)/15
Suppose 7 = 10*w - 3. Let o(m) = 1409*m**3 + m**2 + 2*m - 2. Let t be o(w). Find r such that -1410 + 6*r + 15*r**2 - 6*r**5 - r**4 + t - 14*r**4 = 0.
-2, -1, -1/2, 0, 1
Let n be 466/110 + 422/(-11605). Let -3/5*q**5 - 18/5*q - n*q**4 - 51/5*q**2 + 0 - 51/5*q**3 = 0. What is q?
-3, -2, -1, 0
Let c(j) be the first derivative of -j**3/3 - 108*j**2 - 215*j + 717. Factor c(z).
-(z + 1)*(z + 215)
Let n(f) be the third derivative of 0 - 10*f**2 + f - 3/4*f**4 - 8*f**3 + 1/20*f**5. Determine b so that n(b) = 0.
-2, 8
Suppose -8*r + 12 = -5*r. Suppose -6*q**4 + 219*q + 7*q**3 + 4*q**5 - 59*q**3 - 27*q + 2*q**r + 4*q**2 + 144 = 0. What is q?
-2, -1, 3
Let n be 0 + (((-40)/(-15))/((-8)/12) - -6). Let s(a) be the first derivative of 8*a + 12 + 4/3*a**3 - 6*a**n. Factor s(q).
4*(q - 2)*(q - 1)
Suppose -f + 5*a - 47 = 0, -5*f - 3*a -