05 + o**6/75 - 13*o**5/50 - 5*o**4/6 - 4*o**3/5 - 2*o - 139. Let q(f) = 0. Calculate f.
-3, -1, 0, 4
Let g be (-4)/(-24)*(3 + -1). Let z(d) be the second derivative of -g*d**3 + 3*d - 1/20*d**5 - 1/4*d**4 + 0 + 0*d**2. Find l, given that z(l) = 0.
-2, -1, 0
Let j = -12/31 + 271/620. Let q(b) be the third derivative of j*b**6 + 4*b**2 - 1/4*b**4 - 2/3*b**3 + 0 + 1/15*b**5 + 0*b. Solve q(y) = 0.
-1, -2/3, 1
Let d(l) = 3*l**2 + l. Let z(n) = n**3 + 2*n**2 - 2*n + 4. Let u be z(-3). Let p be d(u). Factor -6*x**2 + p*x**3 + 4*x + 2*x**2 - 4*x.
4*x**2*(x - 1)
Let s(k) be the second derivative of 0 - 35/3*k**3 + 25*k + 245/2*k**2 + 5/12*k**4. Factor s(h).
5*(h - 7)**2
Let a(v) = -2*v**5 + v**4 - v**3 + 2*v**2 - 5*v + 5. Let l(n) = -n**5 + n**2 - 3*n + 3. Let f(b) = -3*a(b) + 5*l(b). Factor f(m).
m**2*(m - 1)**3
Let i(l) be the second derivative of -5*l**7/42 - 5*l**6/2 - 33*l**5/2 - 145*l**4/3 - 60*l**3 - 175*l. Factor i(s).
-5*s*(s + 2)**3*(s + 9)
Factor 88/9 + 2/3*h**3 + 142/9*h**2 + 224/9*h.
2*(h + 1)*(h + 22)*(3*h + 2)/9
Find z such that 0 + 120/11*z + 214/11*z**3 + 344/11*z**2 - 18/11*z**5 - 60/11*z**4 = 0.
-5, -2/3, 0, 3
Let n(u) be the first derivative of -1/15*u**6 + 12/25*u**5 - 13/10*u**4 - 4/5*u**2 + 0*u + 4 + 8/5*u**3. Factor n(i).
-2*i*(i - 2)**2*(i - 1)**2/5
Let u(g) = -2*g**3 - 20*g**2 - 25*g - 16. Let i(m) = 7*m**3 + 60*m**2 + 75*m + 46. Let r(d) = -3*i(d) - 8*u(d). What is a in r(a) = 0?
-2, -1
Let t(w) be the second derivative of -153*w**5/80 - 19*w**4 - 447*w**3/8 + 27*w**2/4 - 35*w. Let t(g) = 0. Calculate g.
-3, 2/51
Factor 29/3*g + 1/3*g**2 + 0.
g*(g + 29)/3
Let g(w) be the third derivative of w**7/42 - 5*w**6/24 - w**5/2 + 20*w**4/3 + 80*w**3/3 - 59*w**2 + 4*w. Factor g(z).
5*(z - 4)**2*(z + 1)*(z + 2)
Let m(w) be the second derivative of w**5/140 - w**4/28 + 2*w**2 - 40*w. Let j(g) be the first derivative of m(g). Suppose j(k) = 0. Calculate k.
0, 2
Let l(i) be the first derivative of i**5/5 + 2*i**4/3 + 7*i + 12. Let t(f) be the first derivative of l(f). Factor t(d).
4*d**2*(d + 2)
Let k = 19379 + -58130/3. Factor -2/3 - k*h - 1/3*h**4 - 5/3*h**3 - 3*h**2.
-(h + 1)**3*(h + 2)/3
Let p be 15/(-7) + (16 - 429/39). Factor 4/7*k + p*k**2 + 32/7*k**3 + 0 + 16/7*k**4.
4*k*(k + 1)*(2*k + 1)**2/7
Let i(d) = -17*d**2 + 263*d - 720. Let u(m) = 37*m**2 - 528*m + 1440. Let q(p) = -9*i(p) - 4*u(p). Factor q(x).
5*(x - 48)*(x - 3)
Let q = 38 + -43. Let m(a) = -5*a**2 - 5*a. Let r(y) = 3*y**2 + 3*y. Let d(w) = q*m(w) - 8*r(w). Suppose d(t) = 0. Calculate t.
-1, 0
Let t be ((-18)/108)/(1*5/(-120)). Solve 3/4*o**t + 3/8*o**5 + 0*o + 0*o**2 + 0 + 0*o**3 = 0.
-2, 0
Let y(k) be the second derivative of k**7/210 + k**6/90 + 13*k**3/6 - 11*k. Let c(t) be the second derivative of y(t). What is m in c(m) = 0?
-1, 0
Let z(j) be the first derivative of j**6/6 - 8*j**5/5 - 5*j**4/2 + 8*j**3/3 + 9*j**2/2 + 227. Factor z(a).
a*(a - 9)*(a - 1)*(a + 1)**2
Factor 18*x + 13708*x**4 + 18*x**3 - 33*x**2 - 6857*x**4 - 6854*x**4.
-3*x*(x - 3)*(x - 2)*(x - 1)
Let b(z) be the second derivative of 1/60*z**5 + 0*z**2 + z + 0 + 1/18*z**4 - 1/6*z**3. Factor b(d).
d*(d - 1)*(d + 3)/3
Let s = -37 - -40. Factor -9 - i - 5*i + 9*i + 9*i**2 - s*i**3.
-3*(i - 3)*(i - 1)*(i + 1)
Suppose 2 = 6*g - 10. Solve r + 79*r**2 - 5*r - 81*r**g = 0 for r.
-2, 0
Let c(m) be the second derivative of m**5/20 - 3*m**4/4 - 30*m. Let x be c(9). Factor -1/7*r**3 + x*r + 0 + 1/7*r**2.
-r**2*(r - 1)/7
Let i(x) be the third derivative of -x**8/392 + 44*x**7/735 - 5*x**6/12 + 7*x**5/15 - 2*x**2 - 59. Factor i(r).
-2*r**2*(r - 7)**2*(3*r - 2)/7
Let t(q) be the second derivative of q**7/14 + q**6/2 + 21*q**5/20 + 3*q**4/4 - 146*q + 2. Suppose t(d) = 0. Calculate d.
-3, -1, 0
Let v(r) be the third derivative of -1/840*r**8 - 7*r**2 + 0 - 3/20*r**4 - 7/150*r**6 - 2/15*r**3 - 8/75*r**5 - 2/175*r**7 + 0*r. Solve v(z) = 0.
-2, -1
Let s(u) be the first derivative of 7*u**6/3 + 82*u**5/5 + 219*u**4/14 + 30*u**3/7 - 128. Factor s(z).
2*z**2*(z + 5)*(7*z + 3)**2/7
Let h(j) be the first derivative of 1/8*j**4 - 10 + 0*j**2 - 1/3*j**3 + 0*j. Suppose h(x) = 0. Calculate x.
0, 2
Suppose -1/4*v**3 - 33/4*v**2 - 351/4*v - 1183/4 = 0. What is v?
-13, -7
Let g(m) be the first derivative of -m**4/20 + 4*m**3/5 - 24*m**2/5 + 4*m - 12. Let c(b) be the first derivative of g(b). Factor c(r).
-3*(r - 4)**2/5
Let l(y) be the first derivative of 3/8*y**2 + 5/6*y**3 + 3/10*y**5 + 6 + 0*y + 1/24*y**6 + 3/4*y**4. Factor l(i).
i*(i + 1)**3*(i + 3)/4
Let f = -13 + 15. Suppose 30 = 5*q + 10. Factor -3*z**5 + z**3 + z**q - 2*z**f - 2*z**2 + 3*z**2 + 2*z**5.
-z**2*(z - 1)**2*(z + 1)
Solve -18/7*o**3 + 48/7*o**2 - 12/7 - 18/7*o = 0.
-1/3, 1, 2
Let m(c) be the third derivative of 11*c**7/1995 + 13*c**6/570 + 4*c**5/285 + 5*c**2 - c. Factor m(q).
2*q**2*(q + 2)*(11*q + 4)/19
Factor 0*n**2 - 2085*n + 2*n**2 + 2 + 2081*n.
2*(n - 1)**2
Let o(j) be the second derivative of j**4/12 - 8*j**3/3 + 24*j**2 - 127*j. Factor o(q).
(q - 12)*(q - 4)
Let n(x) = -x + 1. Let o(k) = 2*k**2 + 10*k - 12. Suppose -2*j + 18 = -g, -3*g = -5*j + g + 42. Let w be (j/3)/(2/(-6)). Let d(l) = w*n(l) - o(l). Factor d(t).
-2*(t - 1)*(t + 1)
Let g = 194 + -194. Factor -12/5*r**4 + g*r + 3/5*r**2 - 9/5*r**3 + 0.
-3*r**2*(r + 1)*(4*r - 1)/5
Find r, given that 32/9 + 0*r**2 + 2/9*r**3 - 8/3*r = 0.
-4, 2
Let z(v) be the first derivative of 13 - 10*v**3 - 7*v**5 + 0*v**2 + 115/4*v**4 + 0*v. Factor z(i).
-5*i**2*(i - 3)*(7*i - 2)
Let l(b) = -3*b**3 - 41*b**2 + 240*b + 283. Let t(w) = 2*w**3 + 20*w**2 - 120*w - 141. Let z(v) = 3*l(v) + 5*t(v). What is f in z(f) = 0?
-1, 12
Let g = 740/33 - 119470/5313. Let h = g - -8/23. Factor 2/7 + h*j**2 + 4/7*j.
2*(j + 1)**2/7
Let j(x) be the first derivative of x**4 - 15 - x**3 + 0*x**2 - 1/5*x**5 + 0*x. Factor j(u).
-u**2*(u - 3)*(u - 1)
Let s be -1*1 + (-5 - 1 - -55). Let x be (s/(-224))/(((-3)/108)/1). Let 6/7*w**3 - 20/7 - 40/7*w**2 + x*w = 0. What is w?
2/3, 1, 5
Suppose 3*q - 31*q = 140. Let n(d) = -2*d**2 - 9*d + 1. Let a(r) = 6*r**2 + 7*r - 3*r**2 + 2*r. Let t(m) = q*a(m) - 6*n(m). Let t(b) = 0. Calculate b.
1, 2
Let f(z) be the first derivative of 2*z**6/3 - z**4 - 285. Factor f(x).
4*x**3*(x - 1)*(x + 1)
Let z(m) be the third derivative of m**9/1512 + 7*m**3/6 - 3*m**2. Let l(w) be the first derivative of z(w). Factor l(g).
2*g**5
Let v(x) = -4*x**3 - 17*x**2 - 14*x + 5. Let k(b) = -b**3 - b**2 + b + 2. Let r(q) = 6*k(q) - v(q). Find i such that r(i) = 0.
-1, -1/2, 7
Let z(n) be the third derivative of 1/105*n**7 - 1/12*n**4 + 0*n + 1/10*n**5 + 0*n**3 + 0 + 12*n**2 - 1/20*n**6. Factor z(s).
2*s*(s - 1)**3
Determine j, given that -204*j**2 + 609*j**2 + 98 - 205*j**2 - 197*j**2 - 144*j + 43 = 0.
1, 47
Let c(z) be the third derivative of z**6/480 + 27*z**5/40 + 729*z**4/8 + 6561*z**3 + 29*z**2 + 4. Factor c(s).
(s + 54)**3/4
Factor -16/7 + 198/7*y**2 + 52/7*y.
2*(9*y + 4)*(11*y - 2)/7
Let p(c) = -3*c - 13. Let k be p(-8). Suppose -s = n - 2*s + 1, 2*n - 5*s = -k. Let 20*b**2 + n*b**3 + 28*b + 2*b**3 + 0*b**3 + 12 = 0. Calculate b.
-3, -1
Let i(l) be the third derivative of l**5/90 + 7*l**4/36 + 10*l**3/9 - 122*l**2. Factor i(b).
2*(b + 2)*(b + 5)/3
Let d = 4560 + -4558. Let -2/9*u + 2/9*u**3 + 0*u**d + 0 = 0. What is u?
-1, 0, 1
Let f = 82 - 81. Let -6*r + 16*r + r**2 - 6 + 9*r**2 + f - 10*r**5 - 40*r**3 + 35*r**4 = 0. Calculate r.
-1/2, 1
Let a be (-78)/(-117)*(-2)/((-24)/9). Suppose 0*g + 0*g**2 + 0 + 1/2*g**4 + a*g**3 = 0. Calculate g.
-1, 0
Suppose -18*a + 50 = 7*a. Let w(u) be the third derivative of 1/42*u**4 + a*u**2 + 0 + 0*u - 1/70*u**5 + 0*u**3. Factor w(b).
-2*b*(3*b - 2)/7
Let z = -12 - 14. Let u = z + 29. Suppose -g**4 - g - 3*g**3 + 15 - u*g**2 - 15 = 0. Calculate g.
-1, 0
Suppose -2*v - 8 + 13 = 5*h, 4*v = -20. Suppose 0 = n - 2, -3*w + 6 = -h*n. Determine g so that 1/4*g**w + 0*g + 0 - 1/2*g**3 + 1/4*g**2 = 0.
0, 1
Let 2*r**2 + 1/4*r**3 + 0 + 3*r = 0. Calculate r.
-6, -2, 0
Let q(v) be the second derivative of -3*v**8/560 - v**7/280 + v**6/40 + v**5/40 + 13*v**3/6 + v. Let y(k) be the second derivative of q(k). Factor y(u).
-3*u*(u - 1)*(u + 1)*(3*u + 1)
Let g(t) be the first derivative of -t**5/5 - t**4 + 6*t**3 + 54*t**2 + 135*t + 163. Solve g(o) = 0.
-3, 5
Suppose 49*d - 741 = -594. Solve 0 + 3/5*v**4 -