1/255*z**5 - 1/2856*z**8 + 0*z**7. Factor v(x).
-2*x**2*(x - 1)**2*(x + 2)/17
Factor 0 + 0*m - 5/4*m**4 - 25/2*m**2 + 55/4*m**3.
-5*m**2*(m - 10)*(m - 1)/4
Let a(d) be the first derivative of 0*d + 2/21*d**3 + 2/7*d**2 + 29 - 1/14*d**4. Factor a(v).
-2*v*(v - 2)*(v + 1)/7
Factor 14*n**2 - 5*n**2 - 60*n + 3 + 72*n.
3*(n + 1)*(3*n + 1)
Let l(z) be the first derivative of 4/3*z - 1/3*z**2 - 5 - 2/9*z**3. Factor l(b).
-2*(b - 1)*(b + 2)/3
Let f be 7 + -9 + (-2 - -6). Let u(j) be the first derivative of -3/2*j**f - 1/3*j**3 - 5 + 3/4*j**4 + 2*j - 1/5*j**5. Solve u(g) = 0 for g.
-1, 1, 2
Let z = 15661/39190 - -3/7838. Factor -z*p**2 - 10 - 4*p.
-2*(p + 5)**2/5
Let g(c) be the first derivative of -c**4/4 + 7*c**3/3 - 11*c**2/2 + 5*c - 143. Let g(z) = 0. Calculate z.
1, 5
Suppose 3*p = -p - 8. Let f be 3 + p + 3 - -5. Solve 20*u**2 - 41*u**2 + 12*u + 24*u**2 + f = 0 for u.
-3, -1
Let p = 5/1778 - -1331/889. Solve -3/4 - 3/4*b**2 + p*b = 0 for b.
1
Let l = -3547 + 53209/15. Suppose 2/5*i**4 - l*i**5 + 2/15*i**3 + 0 + 2/15*i - 2/5*i**2 = 0. Calculate i.
-1, 0, 1/2, 1
Let i(u) = u**5 + 8*u**4 + 6*u**3 - 2*u**2 + 5*u + 6. Let k(g) = -g**5 - 7*g**4 - 5*g**3 + 2*g**2 - 4*g - 5. Let x(a) = -5*i(a) - 6*k(a). Factor x(w).
w*(w - 1)*(w + 1)**3
Let z(h) be the second derivative of -h**5/150 - 2*h**4/45 - 4*h**3/45 + 14*h - 2. Factor z(x).
-2*x*(x + 2)**2/15
Find w such that 25/3 + 23/3*w**2 + 49/3*w - 1/3*w**3 = 0.
-1, 25
Suppose -23*x + 30 = -26*x. Let r be (1 - 1)/(x/((-15)/(-3))). Factor 4/7*l**3 + r - 2/7*l**2 - 2/7*l.
2*l*(l - 1)*(2*l + 1)/7
Let c = -1059 + 1064. Let u(l) be the first derivative of -16*l**2 - 6*l**4 + 16*l**3 + 0*l - 2 + 4/5*l**c. Factor u(k).
4*k*(k - 2)**3
Let r(k) be the third derivative of k**6/60 + 13*k**5/30 - 4*k**4/3 - 28*k**3/3 - 53*k**2. Factor r(x).
2*(x - 2)*(x + 1)*(x + 14)
Let s(o) be the second derivative of -o**5/20 + o**4/3 - 2*o**3/3 + 151*o. Determine p, given that s(p) = 0.
0, 2
Let m be ((-9)/(-18))/((8/(-200))/((-12)/15)). Solve -2/3*j**5 + m*j**2 + 14/3*j**3 - 12*j + 0 - 2*j**4 = 0.
-3, 0, 1, 2
Suppose 1104 = 4*c + 4*q, 2*c - c + 5*q - 276 = 0. Let f be (c/14)/6 + 4/(-14). Suppose 2/9*w + 0 + 2/9*w**4 - 2/9*w**2 - 2/9*w**f = 0. What is w?
-1, 0, 1
Let d be 6 - (48/42 - 346/(-77)). Let -2/11*h**5 + 0 - d*h + 10/11*h**4 - 18/11*h**3 + 14/11*h**2 = 0. What is h?
0, 1, 2
Solve 8 - 135*i + 3*i**4 + 258*i - 2*i**4 - 7*i**3 + 18*i**2 - 143*i = 0.
1, 2
Suppose 178*s - 528 = 46*s. Solve -1/5*x**2 + 0*x - 7/10*x**s + 0 - 9/10*x**3 = 0.
-1, -2/7, 0
Let d(i) = 12*i**3 - 16*i**2 - 12*i + 16. Let s be (10/14)/((-8)/(-56)). Let r(c) = 4*c**3 - 5*c**2 - 4*c + 5. Let o(x) = s*d(x) - 16*r(x). Factor o(q).
-4*q*(q - 1)*(q + 1)
Let u(q) be the second derivative of 0 + 1/126*q**7 + 1/90*q**6 + 16*q - 1/20*q**5 - 1/36*q**4 + 0*q**2 + 1/9*q**3. Determine r, given that u(r) = 0.
-2, -1, 0, 1
Let d be ((-384)/(-18))/(-16) - 130/(-96). Let y(j) be the third derivative of 1/80*j**5 + 0 - d*j**4 - 1/480*j**6 + 4*j**2 + 0*j + 0*j**3. Factor y(i).
-i*(i - 2)*(i - 1)/4
Let d(g) be the first derivative of 4*g**3/3 + 22*g**2 + 96*g + 89. Factor d(f).
4*(f + 3)*(f + 8)
Let k(a) be the second derivative of a**5/80 - 5*a**4/24 - a**3/24 + 5*a**2/4 + 20*a. Determine f, given that k(f) = 0.
-1, 1, 10
Let b(q) = 8*q**3 + 37*q**2 - 27*q - 133. Let m(c) = -12*c**3 - 56*c**2 + 40*c + 200. Let n(y) = 8*b(y) + 5*m(y). Factor n(v).
4*(v - 2)*(v + 2)*(v + 4)
Let f(m) = -123 + 3*m + 123. Let d(u) = u**2 - 16*u + 16. Let c(q) = -3*d(q) - 24*f(q). Suppose c(t) = 0. Calculate t.
-4
Suppose 0 = 4*k + 12, 36 = 3*m + k - 4*k. Factor -7*w - 18*w**2 - 8 - w**4 + 7*w**3 + 18*w + m*w.
-(w - 2)**3*(w - 1)
Let n(f) = 4*f - 28. Let o be n(12). Suppose -o = -9*p - p. What is h in -1/2*h**p + 1/2 + 0*h = 0?
-1, 1
Let j(n) = -5*n + 56. Let k be j(11). Let u be (-81)/(-21) - k/(-7). Factor 0*r + 5/4*r**5 - 5/4*r**3 - 5/4*r**u + 5/4*r**2 + 0.
5*r**2*(r - 1)**2*(r + 1)/4
Let k(j) be the third derivative of j**6/240 + 19*j**5/20 + 361*j**4/4 + 13718*j**3/3 + 9*j**2. Factor k(w).
(w + 38)**3/2
Let j(d) be the second derivative of d**4/72 + d**3/2 + 8*d**2/3 + 203*d. Find k such that j(k) = 0.
-16, -2
Let j = 458 + -453. Let n(w) be the second derivative of -3/4*w**4 - 3/2*w**2 + w - 3/2*w**3 - 3/20*w**j + 0. Determine t so that n(t) = 0.
-1
Let l(m) be the second derivative of -m**5/90 + 17*m**4/18 - 289*m**3/9 - 33*m**2/2 + 45*m. Let f(r) be the first derivative of l(r). Solve f(g) = 0 for g.
17
Suppose -v + 3*v = 20. Let m(f) = f**2 - 11*f + 13. Let q be m(v). Let -25*h**3 - 7*h**q + 45*h**2 + 1 - 17*h**2 + 1 + 18*h**4 - 12*h - 4*h**5 = 0. Calculate h.
1/2, 1
Let s(z) = -3*z - 13. Let x be s(-5). Let w(h) be the second derivative of 7/60*h**5 - 2/45*h**6 + 0 + 0*h**x - 1/18*h**4 - 4*h - 1/18*h**3. Factor w(n).
-n*(n - 1)**2*(4*n + 1)/3
Factor -p**3 + 9*p**3 + 2*p**2 - 12*p**2 - 9*p**2 + 10*p + p**4.
p*(p - 1)**2*(p + 10)
Let u(v) be the first derivative of -3/16*v**2 + 0*v + 1/24*v**3 + 9 - 1/40*v**5 + 3/32*v**4. Factor u(p).
-p*(p - 3)*(p - 1)*(p + 1)/8
Let h be 9*12/252 + 33/21. Let s(g) be the first derivative of -5/16*g**4 + 25/12*g**3 - 45/4*g - 15/8*g**h - 8. Factor s(l).
-5*(l - 3)**2*(l + 1)/4
Let r(t) = -4*t**4 + 28*t**3 + 20*t**2 - 6*t - 6. Let k(l) = -3*l**4 + 26*l**3 + 19*l**2 - 5*l - 5. Let g(u) = 6*k(u) - 5*r(u). Find o, given that g(o) = 0.
-7, -1, 0
Factor -32*b**2 + 116*b - 4 + 6*b**3 - 54 - 54 - 5*b**3.
(b - 28)*(b - 2)**2
Suppose i - k + 0*k = 3, -2*i = 3*k - 1. Factor 1/5*t - 1/5*t**3 + 1/5 - 1/5*t**i.
-(t - 1)*(t + 1)**2/5
Let b(i) be the second derivative of -i**5/6 + 5*i**4/8 - 5*i**3/6 + 11*i**2 - 12*i. Let x(k) be the first derivative of b(k). Suppose x(j) = 0. Calculate j.
1/2, 1
Let r be (-51)/(-15) - (-6)/(-15). Suppose -r*a = -3*x + 2 + 4, 0 = x + 4*a - 7. Factor 3*j**3 + j**x - 7*j**3.
-3*j**3
Let g(h) be the second derivative of 0*h**2 + 1/12*h**4 + 0 + 1/30*h**6 + 0*h**3 - 1/10*h**5 - 9*h. Factor g(q).
q**2*(q - 1)**2
Let x = -5 - -17. Suppose 15*k - x = 18. Factor 2*p - 2/3*p**k + 0.
-2*p*(p - 3)/3
Suppose 2*l + 140 = 264. Factor -68*r - l*r - 5*r**2 + 150*r.
-5*r*(r - 4)
Let q(u) be the first derivative of 3*u**6/10 + 102*u**5/25 + 9*u**4/20 - 84*u**3/5 + 66*u**2/5 - 278. Find p, given that q(p) = 0.
-11, -2, 0, 2/3, 1
Determine y so that -2/7*y**2 - 1/7*y + 0 - 1/7*y**3 = 0.
-1, 0
Let u(m) be the third derivative of 0*m + 1/24*m**4 + 1/105*m**7 + 11/120*m**5 + 0 + 12*m**2 + 13/240*m**6 + 0*m**3. Find c, given that u(c) = 0.
-2, -1, -1/4, 0
Suppose 0 = -19*b - 0. Let f(r) be the second derivative of 0 - 1/12*r**4 + 5*r - 1/6*r**3 + b*r**2. Factor f(o).
-o*(o + 1)
Let z(f) = -10*f**2 - 224*f + 234. Let j(i) = -2*i**2 - 45*i + 47. Let n(s) = -14*j(s) + 3*z(s). Determine g, given that n(g) = 0.
-22, 1
Let b = 44 - 41. Let g(w) = w**3 - w - 1. Let t(h) = -4*h**3 + 6*h + 1. Let p(d) = b*g(d) + t(d). What is u in p(u) = 0?
-2, 1
Solve 98 + 70*a - 23*a**2 + 5*a**3 + 8*a**3 - 11*a**3 - 3*a**2 = 0.
-1, 7
Let n = -101 - -176. Suppose -n*x**4 - 33*x**5 - 72*x + 276*x**2 - 57*x**4 + 5*x**5 - 44*x**3 = 0. What is x?
-3, 0, 2/7, 1
Solve -12*d**4 + 98*d - 24*d - 12*d**3 - 2*d**5 - 44*d + 32*d**2 - 36 = 0.
-3, -2, 1
Let a(t) = 12*t**3 + 164*t**2 - 1432*t - 1608. Let q(c) = 2*c**3 + c**2 + c - 1. Let o(v) = a(v) - 8*q(v). Factor o(k).
-4*(k - 20)**2*(k + 1)
Let x(t) = 8*t**2 + 279*t + 11. Let w(f) = -3*f**2 - 92*f - 4. Let h(k) = -11*w(k) - 4*x(k). Factor h(a).
a*(a - 104)
Let j(h) be the second derivative of 25/6*h**3 - 5/12*h**4 - 10*h**2 + 4*h + 0. Factor j(a).
-5*(a - 4)*(a - 1)
Let h(r) = -r**3 - 5*r**2 + 3*r + 2. Let t be h(-5). Let l be 3069/585 - 2/t. Solve -l*q + 9/5*q**2 + 27/5 - 1/5*q**3 = 0.
3
Let q(x) = x**2 - 45*x + 480. Let s be q(17). Let 15/2*h**s + 21/2*h**2 + 3*h + 27/2*h**3 + 3/2*h**5 + 0 = 0. What is h?
-2, -1, 0
Let b(g) be the first derivative of -2*g**5/15 + 13*g**4/6 - 12*g**3 + 92*g**2/3 - 112*g/3 + 88. Solve b(l) = 0.
2, 7
Let v(u) be the third derivative of 3*u**8/448 - 17*u**7/280 + 17*u**6/80 - 7*u**5/20 + u**4/4 - 83*u**2. Suppose v(j) = 0. Calculate j.
0, 2/3, 1, 2
Suppose 3*t + 16 = 5*v, 3*v - 7 = 8. Factor 8*f**4 - 5*f**4 - f**t + 0*f**4 - f**5 - 3*f**2 + 2*f.
-f*(f - 2)*(f - 1)**2*(f + 1)
Let k(s) = s - 20. Let i(l) = 6*l - 10