erivative of y**6/120 - 601*y**5/60 + 89999*y**4/24 + 90601*y**3/6 + 569*y**2 + 2. Suppose n(z) = 0. Calculate z.
-1, 301
Factor 2/5*x**3 - 84 + 346/5*x + 72/5*x**2.
2*(x - 1)*(x + 7)*(x + 30)/5
Let o(u) = -1501*u - 31517. Let k be o(-21). Let 2*d - d**k + 1/2*d**5 - 3/2*d**3 + 0 + 2*d**2 = 0. What is d?
-1, 0, 2
Let q(j) be the third derivative of 0*j**3 + 0 + 1/60*j**5 + 0*j - 1/120*j**6 + 19*j**2 + 1/12*j**4. Factor q(n).
-n*(n - 2)*(n + 1)
Let z(w) be the third derivative of 1/8*w**6 + 17/12*w**5 - 10/3*w**3 - 5/2*w**4 + 2*w**2 + 0 + 0*w - 2/21*w**7. Solve z(n) = 0.
-2, -1/4, 1, 2
Let r(c) be the third derivative of -c**6/30 + 3*c**5/5 - 4*c**4/3 - 976*c**2. Factor r(k).
-4*k*(k - 8)*(k - 1)
Factor 2*r**4 - 19*r - 25*r**2 - 32*r + 17*r**2 + 21*r - 2*r + 8*r**3.
2*r*(r - 2)*(r + 2)*(r + 4)
Let v = 3781829/3241578 + 2/540263. Factor -1/6*t**2 + 4/3 - v*t.
-(t - 1)*(t + 8)/6
Find u such that 50/9*u**3 + 2*u**4 + 20/9*u + 0 + 2/9*u**5 + 6*u**2 = 0.
-5, -2, -1, 0
Let i(l) be the third derivative of l**6/90 - 127*l**5/45 - 272*l**4/3 - 1112*l**3 - 27*l**2 - 5. What is w in i(w) = 0?
-6, 139
Factor 0*q + 0 - 130/3*q**2 + 2/3*q**4 - 128/3*q**3.
2*q**2*(q - 65)*(q + 1)/3
Let z be -5*(1 + (7 - 10)). Let r be 1/(4 + (385/z)/(-11)). Factor l**3 - 1/9*l**4 - r - 29/9*l**2 + 13/3*l.
-(l - 3)**2*(l - 2)*(l - 1)/9
Suppose -1023*a + 4*x + 36 = -1019*a, -20 = 4*a + 4*x. Solve -a*r + 4/3 + 2/3*r**2 = 0.
1, 2
Let q = -56 + 53. Let j(i) = -i**2 - 6*i - 6. Let m be j(q). Factor -14*f**m + 16*f**4 + 12*f**2 - 2*f**3 - 28*f**4 + 16*f**4.
4*f**2*(f - 3)*(f - 1)
Let q(a) be the first derivative of -1/27*a**3 + 2/3*a + 1/18*a**2 + 71. Factor q(n).
-(n - 3)*(n + 2)/9
Factor 2/7*s**3 + 8664/7 + 3344/7*s + 158/7*s**2.
2*(s + 3)*(s + 38)**2/7
Let q(k) be the first derivative of -k**3/3 + 219*k**2 - 47961*k - 3652. Solve q(x) = 0.
219
Let l(g) be the first derivative of -221*g**6/4 + 599*g**5/5 + 4893*g**4/8 + 1778*g**3/3 + 135*g**2 + 8*g + 3372. Solve l(k) = 0.
-1, -2/13, -2/51, 4
Suppose 3*t + 6 = -2*q, -49*q = -53*q + 5*t + 10. Let g(k) be the second derivative of 11/18*k**3 - 2/3*k**2 + 13*k - 5/72*k**4 + q. Factor g(m).
-(m - 4)*(5*m - 2)/6
Let m be (96/12 - (5 - (-1 + 1))) + 0. Factor 16*n - 26/3*n**2 + 4/3*n**m - 6.
2*(n - 3)**2*(2*n - 1)/3
Let w be (4/(-20))/((-4)/20)*1. Factor -w - 360*j - 3 + 194*j**2 - 1619*j**2 + 1805*j**3 - 16.
5*(j - 1)*(19*j + 2)**2
Let t = -20/1201 + 1261/3603. Let s(a) be the second derivative of 5/4*a**2 + 0 + 26*a + t*a**3 - 1/24*a**4. Solve s(m) = 0 for m.
-1, 5
Find p, given that -64*p - 190/3*p**2 + 2/3*p**3 + 0 = 0.
-1, 0, 96
Let u(b) be the first derivative of b**5/30 - 7*b**4/24 + 2*b**3/3 + b**2/3 - 8*b/3 - 2568. What is c in u(c) = 0?
-1, 2, 4
Let r(z) = -z**2 + 4*z. Let c(m) = -38 - 43 + 0*m - 11*m + 13*m - 6*m**2. Let j(f) = -2*c(f) + 10*r(f). Solve j(g) = 0 for g.
-9
Let m = -2943/8 + 368. Let a(d) be the second derivative of m*d**4 + 0 + 1/4*d**3 + 0*d**2 - 2*d. Find w such that a(w) = 0.
-1, 0
Determine t so that -1853*t**3 - 438*t**2 + 45*t**2 - 231*t**2 + 12*t**5 + 1184*t + 190*t**3 + 199*t**3 - 404*t**4 = 0.
-2, 0, 2/3, 37
Let u(n) be the first derivative of -55/2*n**2 + 10*n - 30*n**5 - 70/3*n**3 - 17 + 265/4*n**4. Solve u(v) = 0.
-2/5, 1/6, 1
Let n(d) be the first derivative of -543/4*d**2 - 243/32*d**4 - 207*d**3 - 30*d - 85. Find k such that n(k) = 0.
-20, -2/9
Let w(b) = b**2 + 6*b - 50. Suppose -104 = -13*i - 39. Let k be w(i). Determine r, given that 0 + 0*r + 1/2*r**2 + 3/4*r**3 - 1/2*r**4 - 3/4*r**k = 0.
-1, -2/3, 0, 1
Let y(v) = 25*v**3 + 130*v**2 - 285*v + 150. Let u(z) = z**3 + 2*z**2 - 7. Let p(x) = -30*u(x) + y(x). Let p(c) = 0. What is c?
3, 8
Suppose 2*f - 3 - 3 = -2*x, 2*f - 7 = -3*x. Factor 24 + 10 + 19*q**2 - 4 + 21*q**2 + 35*q - 35*q**f.
5*(q + 1)*(q + 6)
Suppose -7730/7*y**2 - 1066464 + 2/7*y**3 + 1067568*y = 0. Calculate y.
1, 1932
Let d = 54 + -44. Factor 20*c - d - 10*c - 2*c**2 - 22*c.
-2*(c + 1)*(c + 5)
Let x(l) be the first derivative of -l**6/45 + 26*l**5/75 - 37*l**4/30 - 74*l**3/45 + 94*l**2/15 + 32*l/3 + 557. Let x(c) = 0. Calculate c.
-1, 2, 5, 8
Let h(s) be the third derivative of 0*s - 1 + 1/240*s**6 + 1/12*s**4 - 1/24*s**5 - 60*s**2 + 0*s**3. Determine v so that h(v) = 0.
0, 1, 4
Factor 0*n**2 + 2/3*n**5 + 0 - 4*n**4 + 0*n + 6*n**3.
2*n**3*(n - 3)**2/3
Find u, given that 2/3*u**2 - 14/3*u**3 + 0 + 0*u - 10/3*u**5 + 22/3*u**4 = 0.
0, 1/5, 1
Factor 5*q**2 - 2*q**2 + 399198 + 3144*q - 6934 + 441176 - 9712.
3*(q + 524)**2
Suppose 87*y = 21*y. Let l(u) be the second derivative of y + 0*u**2 + 5*u + 0*u**3 - 2/3*u**4 + 7/5*u**5. Factor l(m).
4*m**2*(7*m - 2)
Let i = -29 - -40. Factor -13*l - i*l**2 + 7*l + 8*l**2 + 36*l.
-3*l*(l - 10)
Suppose z + 76 = 64. Let a be 5/(((-64)/12)/(z - -10)). Let 9/8*c**3 + 3/8*c + 3/8 - a*c**2 = 0. Calculate c.
-1/3, 1
Let t(d) = d**3 + 87*d**2 - 183*d - 440. Let a be t(-89). Let v(z) be the second derivative of 2/3*z**4 + 2/3*z**3 - 2*z + 0*z**2 + 0 + 1/5*z**a. Factor v(j).
4*j*(j + 1)**2
Determine v, given that 0 - 43/3*v**3 - 5/3*v**5 + 4*v - 8/3*v**2 - 28/3*v**4 = 0.
-3, -2, -1, 0, 2/5
Let v(u) be the third derivative of 1/100*u**5 - 104*u**2 + 1/200*u**6 + 0 - 3/20*u**4 + 0*u**3 + 0*u. Suppose v(s) = 0. Calculate s.
-3, 0, 2
Let y be 7161/(-22) + 4/(-4). Let p = 328 + y. Factor -p*b + 1/4*b**2 + 5/4.
(b - 5)*(b - 1)/4
Let w = 1077 + -1055. Suppose 251*y + w = 262*y. What is v in 2/5 + 1/10*v**y + 2/5*v = 0?
-2
Let m be (4680/10530)/((-23)/(-36)). Let 32/23 + 2/23*c**5 - m*c + 14/23*c**4 - 2*c**2 + 14/23*c**3 = 0. Calculate c.
-4, -1, 1
Let v(x) = x**2 - 13*x - 125. Let f be v(20). Factor -5*b - 247*b**3 + 127*b**3 + 125*b**3 - 15 + f*b**2.
5*(b - 1)*(b + 1)*(b + 3)
Let k = -129 - -130. Let a be (-358)/1969 + -15*k/(-22). Find b, given that 3/4 - 1/2*b - 7/4*b**2 - a*b**3 = 0.
-3, -1, 1/2
Suppose 4*j + 3*z + 3 = 0, -3*j + 109*z = 106*z - 3. Let w(p) be the second derivative of 0*p**3 + 1/54*p**4 + 21*p + j + 0*p**2. Factor w(l).
2*l**2/9
Let s = 183385 + -183381. Factor 0*y + 0 - 1/2*y**4 + s*y**2 + y**3.
-y**2*(y - 4)*(y + 2)/2
Let l(r) be the second derivative of -r**6/345 - 13*r**5/115 + 43*r**4/138 + 416*r**3/69 - 432*r**2/23 - 8537*r. Suppose l(w) = 0. Calculate w.
-27, -4, 1, 4
Let 85/3*x**2 - 20/3*x**3 + 15 - 110/3*x = 0. What is x?
1, 9/4
Suppose 2*l + 3 - 2 = 5*i, -i - 7 = -4*l. Let k be (l + 10/5)/5. Factor -2/5*h**2 - k*h - 2/5.
-2*(h + 1)**2/5
Let j(p) be the second derivative of 55*p**4/16 - p**3/24 - 918*p. Suppose j(y) = 0. Calculate y.
0, 1/165
Find u, given that -135/4*u**2 + 439/8*u + u**3 + 36 = 0.
-1/2, 9/4, 32
Determine q so that -3550 + 10655/3*q - 5/3*q**2 = 0.
1, 2130
Let f(s) be the third derivative of -s**5/210 + 76*s**4/21 - 101*s**3/7 - 653*s**2. Factor f(o).
-2*(o - 303)*(o - 1)/7
Suppose 36*h**2 + 158/5*h - 22/5*h**3 + 36/5 - 72/5*h**4 + 8/5*h**5 = 0. What is h?
-1, -1/2, 2, 9
Let n(s) be the second derivative of -91*s + 0 + 10/3*s**4 - 85/6*s**3 - 1/4*s**5 + 25*s**2. Let n(l) = 0. Calculate l.
1, 2, 5
Let h(n) be the second derivative of n**6/285 + 29*n**5/190 + 112*n**4/57 + 196*n**3/57 - 2*n - 1216. Factor h(j).
2*j*(j + 1)*(j + 14)**2/19
Let f(q) = 8*q**3 + 506*q**2 - 34756*q + 190522. Let g(m) = -m**3 + m**2 - 2*m - 1. Let x(r) = f(r) + 10*g(r). Determine j, given that x(j) = 0.
6, 126
Let j(d) be the first derivative of d**6/900 + d**5/300 + 88*d**3/3 + 114. Let h(w) be the third derivative of j(w). Factor h(c).
2*c*(c + 1)/5
Let t(o) be the third derivative of -10/3*o**3 + 0*o + 1/42*o**7 + 0 + 25/24*o**4 + 1/4*o**5 - 5/24*o**6 - 71*o**2. Suppose t(y) = 0. Calculate y.
-1, 1, 4
Let b(u) = 11*u**2 + 4496*u - 5053498. Let a(m) = 24*m**2 + 8992*m - 10106995. Let y(s) = 6*a(s) - 13*b(s). Find i, given that y(i) = 0.
2248
Let l(p) be the first derivative of -p**6/9 + 12*p**5/5 - 18*p**4 + 48*p**3 + 622. Let l(y) = 0. Calculate y.
0, 6
Suppose -118*s = -113*s - 30. Let y(i) be the first derivative of 2/9*i**3 + 18 + 0*i**5 - 1/3*i**4 + 1/2*i**2 - 2/3*i + 1/18*i**s. Factor y(c).
(c - 1)**3*(c + 1)*(c + 2)/3
Let z be (-6)/24 + ((-2)/(-11) - (-3101)/308). Let c(r) be the first derivative of -15/2*r**2 + z*r - 5/16*r**4 - 9 + 5/2*r**3. Factor c(p).
-5*(p - 2)**3/4
Let w be 9/(3672/(-6511)) - -16. Let n(f) be the third deriva