f + 1. Let b(z) = w*h(z) - 24*a(z). Factor b(g).
-4*(g - 1)**2
Suppose 2*n - 7*b = -2*b + 19, -4*b = 20. Let t be (-70)/(-84) - 2/n. Factor 1/2 + t*j + 3/2*j**2 + 1/2*j**3.
(j + 1)**3/2
Suppose 9*z - 8*z - 6 = b, -3*b - 5*z + 30 = 0. Factor -1/3*h**2 + 1/3 + b*h.
-(h - 1)*(h + 1)/3
Let o = 16 - 2. Suppose -5*d + o = q, -26 = -d - 2*d - 5*q. Factor 4*g + 2*g**3 + g**d - 6*g - g**4 + 0*g**2 + 0*g**2.
-g*(g - 2)*(g - 1)*(g + 1)
Let z = 6922/3 + -48451/21. Factor 0 - 2/7*u - z*u**2.
-u*(u + 2)/7
Suppose -7*j - 54 = -j. Let g(b) = -b**3 - 9*b**2 + 3*b + 27. Let m be g(j). Let 2/9*t**2 + m + 4/9*t = 0. Calculate t.
-2, 0
Let h(m) = m**2 + 6*m - 10. Let l = -121 + 116. Let x(t) = t**2 + 5*t - 9. Let n(r) = l*h(r) + 6*x(r). What is k in n(k) = 0?
-2, 2
Let v(u) be the second derivative of -u**6/6 + 3*u**5/2 - 80*u**3/3 - 8*u + 34. What is r in v(r) = 0?
-2, 0, 4
Let p(l) = 3*l**3 - 8*l**2 + 6*l + 7. Let c(n) = n**3. Let r(j) = -2*c(j) + p(j). Let x be r(7). Factor 0 + 4/5*m**4 - 1/5*m**3 - 2/5*m**2 + x*m + 3/5*m**5.
m**2*(m + 1)**2*(3*m - 2)/5
Let j = 3319 - 16577/5. Factor j*d**2 + 12/5*d**3 + 12/5*d + 3/5*d**4 + 3/5.
3*(d + 1)**4/5
What is y in 3/10*y**4 - 7/10*y**3 + 1/10*y**5 + 3/5*y + 4/5 - 11/10*y**2 = 0?
-4, -1, 1, 2
Suppose 26*f**2 + 2/3*f**3 + 48 + 220/3*f = 0. Calculate f.
-36, -2, -1
Let g(o) be the second derivative of o**5/30 - o**4/12 - 17*o**2/2 + 3*o. Let d(y) be the first derivative of g(y). Factor d(p).
2*p*(p - 1)
Factor -20/3 - 1/3*f**2 - 4*f.
-(f + 2)*(f + 10)/3
Let c be (0 - -1) + (-3 + -2 - -6). Determine g so that 1388*g**3 - 39*g**c - 21*g**4 + 3*g**5 + 9*g + 3*g - 1343*g**3 = 0.
0, 1, 4
Let k(u) = -6*u + 50. Let d be k(-16). Let z = -141 + d. Solve -2*y**z - 4/3*y**2 + 2/3 + 4*y**3 - 2*y + 2/3*y**4 = 0 for y.
-1, 1/3, 1
Let o(d) be the third derivative of d**8/1512 + 8*d**7/189 + 179*d**6/270 - 28*d**5/9 + 49*d**4/12 + 7*d**2 - 6*d. Find y, given that o(y) = 0.
-21, 0, 1
Let m(s) = 3*s**2 - 14*s + 16. Let d be m(1). Find v such that 0*v - 4/7*v**2 - 2/7*v**d + 0 + 0*v**4 + 6/7*v**3 = 0.
-2, 0, 1
Suppose 5*u = 20, u + 1 = -0*v + v. Let i(f) = 6*f**2 + 2*f + 7. Let t(w) = -w**2 - w - 1. Let c(d) = v*t(d) + i(d). Factor c(y).
(y - 2)*(y - 1)
Let m = -3390 + 3405. Factor 5/3*l**2 + m + 10*l.
5*(l + 3)**2/3
Let r = -11967/7 - -1717. Determine x, given that -r*x - 8/7 + 100/7*x**3 - 40/7*x**2 = 0.
-2/5, -1/5, 1
Let m(g) = -35*g**2 + 275*g + 335. Suppose b + 2*y - 12 = 17, -5*y = -4*b + 90. Let v(x) = -3*x**2 + 23*x + 28. Let f(p) = b*v(p) - 2*m(p). Factor f(z).
-5*(z - 6)*(z + 1)
Let p(d) = 4*d**3 - 76*d**2 + 1228*d + 3. Let c(r) = r**3 - 2*r**2 + r + 1. Let z(b) = -3*c(b) + p(b). Factor z(s).
s*(s - 35)**2
Let k(i) be the third derivative of -i**8/560 - i**7/50 + 27*i**6/200 - 29*i**5/100 + i**4/4 - 99*i**2. Factor k(m).
-3*m*(m - 1)**3*(m + 10)/5
Let m(q) be the first derivative of q**2/2 - 6*q - 2. Let b be m(8). Solve -4/9 + 2/9*u**4 + 2/9*u**b - 2/3*u + 2/3*u**3 = 0 for u.
-2, -1, 1
Solve -9*q**4 - 6*q**4 - 18 + 13*q**5 - 25*q**4 + 228*q - 272*q**2 + 152*q**3 - 9*q**5 - 54 = 0 for q.
1, 2, 3
Factor 64*x**2 + x**2 + 21*x**3 + 4*x**2 + 18*x.
3*x*(x + 3)*(7*x + 2)
Let w(t) be the first derivative of -2*t + 2/3*t**3 - 8/3*t**2 + 11. Factor w(r).
2*(r - 3)*(3*r + 1)/3
Let h(s) be the third derivative of -s**8/4200 - s**7/1050 - 8*s**3/3 - 7*s**2. Let o(w) be the first derivative of h(w). Factor o(j).
-2*j**3*(j + 2)/5
Let j(r) be the second derivative of 0*r**5 + 0 + 0*r**2 - 5*r - 1/12*r**4 + 1/180*r**6 + 5/6*r**3. Let m(g) be the second derivative of j(g). Factor m(a).
2*(a - 1)*(a + 1)
Let q(u) be the second derivative of 1/90*u**6 + 0*u**2 - 1/252*u**7 + 0*u**3 - 1/120*u**5 - 11*u + 0*u**4 + 0. Factor q(y).
-y**3*(y - 1)**2/6
Factor 2/3*s**2 - 10/3 - 8/3*s.
2*(s - 5)*(s + 1)/3
Factor -16*q + 7 + 5 - 9 + 3 + 8 + 2*q**2.
2*(q - 7)*(q - 1)
Suppose -3*a + s = -510, 7*a + 2*s + 513 = 10*a. Let n = 2205/13 - a. Suppose 2/13*r**4 + 8/13*r**3 + 6/13*r**2 - n - 8/13*r = 0. What is r?
-2, -1, 1
Let s(t) be the first derivative of 2*t**5/75 + t**4/10 - 2*t**3/45 - t**2/5 + 450. Factor s(n).
2*n*(n - 1)*(n + 1)*(n + 3)/15
Suppose 2 - 12/5*v + 2/5*v**2 = 0. What is v?
1, 5
Let b(a) = -2*a**2 + 96*a + 48. Let c(j) = j**2 + j - 4. Let v(z) = b(z) - 4*c(z). Let v(w) = 0. What is w?
-2/3, 16
Let t(n) be the second derivative of n**6/10 - 3*n**5/10 + n**4/4 + 103*n. Suppose t(b) = 0. Calculate b.
0, 1
Let z(c) = 15*c**3 - 12*c**2 + 3*c + 6. Let w(r) = -r**4 + 15*r**3 - 12*r**2 + 3*r + 5. Let x = 13 - 18. Let i(t) = x*z(t) + 6*w(t). What is m in i(m) = 0?
0, 1/2, 1
Suppose 23*a**4 - 8*a**4 - 4*a**4 - 20*a**2 + 60*a**3 + 24*a**4 = 0. What is a?
-2, 0, 2/7
Find h such that 1011/2*h - 168 - 3/2*h**4 + 345/2*h**3 - 1017/2*h**2 = 0.
1, 112
Let x = 2119 + -2119. Let j(v) be the third derivative of x*v**4 - 1/270*v**6 + 0*v**3 - 1/270*v**5 - 7*v**2 + 0*v + 0. Factor j(w).
-2*w**2*(2*w + 1)/9
Suppose 0 = -4*u + 22 - 14. Solve -20*z**4 - z**3 - 10*z**u + 8*z**3 - 52*z**3 = 0 for z.
-2, -1/4, 0
Let k(j) = -2*j - 14. Let l be k(-10). Suppose 3*o = l*o - 6. Find n such that -o*n**3 + 10*n - 10*n - 2*n**2 = 0.
-1, 0
Let x(i) = 10*i**2 - 18*i + 10. Let r(m) = -m**3 - 50*m**2 + 91*m - 51. Suppose 5*t + 24 = -31. Let s(z) = t*x(z) - 2*r(z). Determine p, given that s(p) = 0.
1, 2
Let d be 3 + 6 + 452/12. Let l = 47 - d. What is c in 2/3*c**3 + 1/3*c**4 + 0*c + 0 + l*c**2 = 0?
-1, 0
Let u be (-3 - (1 + -2)) + -2 + 199. Let z = 2147/11 - u. Find t, given that 0 - 2/11*t**3 - 4/11*t**2 + z*t**5 + 0*t + 4/11*t**4 = 0.
-2, -1, 0, 1
Let x = -5 - -10. Suppose 2*z + 1 = -x*u, -2*u + 3*u - 9 = -5*z. Let -2/13*d**z + 0 + 2/13*d = 0. Calculate d.
0, 1
Let u be (-4 + 2)/((-5)/10). Factor 11*z**4 - 5*z**4 - 2*z + 5*z**u + 2*z**3 - 12*z**2 + z**4.
2*z*(z - 1)*(z + 1)*(6*z + 1)
Let s = -9/118 + 3031/1062. Let w = -4/9 + s. Factor 0 + 2/3*v**3 - w*v**2 + v**4 + 2/3*v.
v*(v - 1)*(v + 2)*(3*v - 1)/3
Suppose -a + 3*b = -6, -2*a + 3*b - 2*b = -2. Let g(v) be the first derivative of 0*v**2 + 0*v**5 + 3 + 0*v - 1/10*v**4 + 1/15*v**6 + a*v**3. Factor g(n).
2*n**3*(n - 1)*(n + 1)/5
Determine q, given that 7/5*q - 8/5 + 1/5*q**2 = 0.
-8, 1
Let g be 37/74 - 14/(-4). Let 8/7*p**g - 8/7*p**2 + 0 + 0*p + 4/7*p**5 - 4/7*p**3 = 0. Calculate p.
-2, -1, 0, 1
Suppose 132 = 3*o - 2*w, -4*o - w - 3*w + 196 = 0. Let q be (-28)/((-42)/6) - o/13. Find n such that 6/13*n**2 - 2/13*n**3 + 2/13 - q*n = 0.
1
Suppose r + 5*i = 29, 3*r + 18*i = 23*i - 13. Suppose 0 = -5*s + 2*s + 6. Let -12*z - z**4 + r + 13*z**s - 11*z**3 + 8*z**3 + 2*z**4 - 3*z**3 = 0. Calculate z.
1, 2
Let t be 7/((-280)/(-15))*(-12)/(-9). Find o such that -1/8 - 1/2*o**2 - t*o = 0.
-1/2
Let h(c) be the third derivative of -1/144*c**6 + 0*c**3 - 1/180*c**5 - 1/2016*c**8 + 0 - 1/315*c**7 + 0*c + 0*c**4 + 15*c**2. What is u in h(u) = 0?
-2, -1, 0
Let q(m) be the second derivative of -m**8/1680 + m**6/360 + 25*m**3/6 + 13*m. Let c(f) be the second derivative of q(f). Let c(b) = 0. Calculate b.
-1, 0, 1
Let z(h) = 6*h**2 - 21*h + 14. Let n be z(3). Find c such that -6/13*c**n - 14/13*c**4 + 0 - 6/13*c**3 + 6/13*c**2 + 4/13*c = 0.
-1, 0, 2/3
Let m = -54 + 57. Suppose -r = x - 4*r - 6, 0 = -3*x + m*r + 6. What is l in x*l + 1/3 - 1/3*l**2 = 0?
-1, 1
Suppose 0 = -4*l + 27 - 39, -3*s = -5*l - 21. Let 0 + 0*y**s + 1/4*y**4 + 0*y + 1/4*y**3 = 0. Calculate y.
-1, 0
Let q(m) = 70*m + 423. Let k be q(-6). Let x(a) be the third derivative of -3*a**2 + 0*a + 2/3*a**k + 1/15*a**5 + 1/3*a**4 + 0. Factor x(f).
4*(f + 1)**2
What is l in -37/3*l**4 + 37/3*l**2 + 116/3*l**5 + 0 - 38*l**3 - 2/3*l = 0?
-1, 0, 2/29, 1/4, 1
Let k(j) = -17*j + 308. Let t be k(18). Suppose 22/9*d**t + 4/9 + 26/9*d = 0. What is d?
-1, -2/11
Factor 73202 - 579*n + 4*n**2 - 17022 - 920*n + n**2 + 439*n.
5*(n - 106)**2
Let n(b) be the second derivative of 2*b**2 - 1/9*b**4 + 0 + 1/9*b**3 - 13*b. Find r, given that n(r) = 0.
-3/2, 2
Let u(z) = 23*z - 1426. Let c be u(62). Factor 0*w**2 + 4/3*w**3 - 4/3*w**4 + 0 + c*w.
-4*w**3*(w - 1)/3
Let d be (1/2)/(3/(-6)). Let w be ((-150)/(-72))/5 + d/(-4). Factor 8/9*y - 2/9*y**2 - w.
-2*(y - 3)*(y - 1)/9
Factor 22/13*p**2 + 0 + 2/13*p**3 + 56/13*p.
2*p*(p + 4)*(p + 7)/13
Suppose -12*y + 789 = 2721. Let h = 325/2 + y. Factor -h*k + 0 - 1/2*k