 q = 12935/2 + -6467. Factor -q*m**2 + 0 + 3*m.
-m*(m - 6)/2
Suppose -2*y = 3*v + 47, -4*v + 2*y - 43 = -v. Let q be (v/(-18))/5 - (-14)/12. Factor -2/3*k**2 + 0 + q*k.
-2*k*(k - 2)/3
Let f(i) be the second derivative of -i**7/7560 - i**6/1080 - i**5/360 + 4*i**4/3 + 9*i. Let s(u) be the third derivative of f(u). Factor s(m).
-(m + 1)**2/3
Let u(o) be the second derivative of -o**5/20 - o**4/6 + 23*o**3/6 + 30*o**2 + 48*o + 2. Let u(r) = 0. What is r?
-4, -3, 5
Let c(j) be the third derivative of j**10/7560 + j**9/1890 + 7*j**4/24 - 11*j**2. Let z(h) be the second derivative of c(h). Factor z(a).
4*a**4*(a + 2)
Let q(x) be the first derivative of x**3 + 3*x**2 + 3*x + 5. Factor q(w).
3*(w + 1)**2
Let c(o) = -o**3 + 7*o**2 + 9*o + 9. Let t be c(8). Suppose 9*j - 7*j = -t*j. Factor 4/5*n + 2/5*n**5 + 14/5*n**2 + j + 2*n**4 + 18/5*n**3.
2*n*(n + 1)**3*(n + 2)/5
Let y(r) = -21*r**3 - 38*r**2 + 325*r - 92. Let z(l) = -84*l**3 - 153*l**2 + 1299*l - 369. Let u(i) = -9*y(i) + 2*z(i). Suppose u(b) = 0. Calculate b.
-5, 2/7, 3
Suppose 97*t - 27*t = -48 + 188. Find r, given that -8/5*r**3 + 6/5*r**t + 8/5*r - 8/5 + 2/5*r**4 = 0.
-1, 1, 2
Let d(c) be the second derivative of 1/17*c**3 + 6/85*c**5 + 5/51*c**4 + 1/357*c**7 + 0*c**2 + 2/85*c**6 - 12*c + 0. Factor d(u).
2*u*(u + 1)**3*(u + 3)/17
Let s(h) be the third derivative of 23*h**2 + 1/270*h**5 + 0*h + 0 - 7/54*h**4 + 49/27*h**3. Suppose s(m) = 0. Calculate m.
7
Let j(u) be the second derivative of -3*u**5/100 + 18*u**4/5 - 864*u**3/5 + 20736*u**2/5 + 2*u + 18. Determine g so that j(g) = 0.
24
Let n(w) = 17*w**2 + 39*w + 22. Let i(t) = -8*t**2 - 20*t - 12. Let j(y) = -13*i(y) - 6*n(y). Factor j(b).
2*(b + 1)*(b + 12)
Let s(p) be the third derivative of -p**5/180 - p**4/36 + 4*p**3/9 + 59*p**2. Find m such that s(m) = 0.
-4, 2
Let v = 104 + 88. Let s = v - 189. Factor 2/7*a**2 - 2/7*a**4 - 2/7*a + 2/7*a**s + 0.
-2*a*(a - 1)**2*(a + 1)/7
Let d(c) be the first derivative of 4*c**5/15 + c**4 + 3*c**3/2 - c**2 + 1. Let l(b) be the second derivative of d(b). Factor l(v).
(4*v + 3)**2
Let q(z) = -z**2 + 17*z - 55. Let k be q(12). Let g(j) be the second derivative of -4*j + 1/2*j**4 - 1/2*j**3 + 0*j**2 + 0 - 3/20*j**k. Factor g(i).
-3*i*(i - 1)**2
Let q(b) be the third derivative of b**7/1365 - b**6/390 - 2*b**5/39 + 11*b**4/26 - 15*b**3/13 - 165*b**2. Determine o, given that q(o) = 0.
-5, 1, 3
Let o(a) = -a**2 + 4*a + 3. Let c = 7 + -4. Let x(h) = -c + 4 - 2 - h. Let k(u) = o(u) + 3*x(u). Factor k(w).
-w*(w - 1)
Suppose 2*p - 14 = -6. Suppose -3*g = -p*x - 4, 0 = -2*g + 4*g - 8. Factor 0*o**x + 4*o**2 + 0*o**3 + 2*o**3.
2*o**2*(o + 2)
Let l(u) = 9*u**3 + 3*u**2 + 3*u - 15. Suppose -3*v + 36 = -0*v. Let m(z) = -z**3 + z**2. Let t(d) = v*m(d) + l(d). Factor t(r).
-3*(r - 5)*(r - 1)*(r + 1)
Let j = 10819/6 + -1803. Let 0*p**2 - j*p**3 + 0*p + 0 + 1/6*p**4 = 0. What is p?
0, 1
Let a(l) = 13*l**3 - 47*l**2 + 124*l - 95. Let r(y) = -15*y**3 + 48*y**2 - 123*y + 96. Let h(c) = -6*a(c) - 5*r(c). Determine j, given that h(j) = 0.
1, 3, 10
Let s(b) be the second derivative of -b**4/6 - 20*b**3/3 - 36*b**2 + 593*b. Suppose s(p) = 0. What is p?
-18, -2
Factor 3/4*u**5 - 9/2*u**4 - 9*u**2 + 3*u + 39/4*u**3 + 0.
3*u*(u - 2)**2*(u - 1)**2/4
Let x(r) be the third derivative of -19/60*r**5 + 2/3*r**3 - 7/120*r**6 + 0*r + 0 + 1/70*r**7 - 5/24*r**4 + 20*r**2. What is f in x(f) = 0?
-1, 1/3, 4
Let c(a) be the third derivative of 0*a**4 + 0*a + 0 - 1/120*a**6 + 0*a**3 + 7*a**2 - 1/120*a**5. Find v, given that c(v) = 0.
-1/2, 0
Let l be 4/90*-3 - (-87)/45. Let 12/5 - l*b**2 + 12/5*b + 3/5*b**4 - 6/5*b**3 = 0. Calculate b.
-1, 2
Let q = -81 + 86. Let h(o) be the third derivative of 0 - 1/9*o**3 + 0*o - 7/360*o**6 + 8*o**2 - 1/24*o**4 + 1/15*o**q. Find m such that h(m) = 0.
-2/7, 1
Let l(v) be the third derivative of -v**7/420 + 41*v**6/15 - 6724*v**5/5 + 1102736*v**4/3 - 180848704*v**3/3 - 191*v**2. Factor l(d).
-(d - 164)**4/2
Factor l**2 + 14*l**3 + 13*l**3 - 3*l**2 - 22*l**3 + 7*l**4.
l**2*(l + 1)*(7*l - 2)
Let o(r) be the first derivative of 2/3*r**4 + 2*r**2 + 1/10*r**5 + 5/3*r**3 + 4*r - 5. Let c(v) be the first derivative of o(v). Find z, given that c(z) = 0.
-2, -1
Let a(z) = 17*z**2 + 5*z - 11. Let o = -36 + 21. Let l be (3 - (-33)/o)*5. Let q(f) = 6*f**2 + 2*f - 4. Let b(d) = l*a(d) - 11*q(d). Factor b(k).
2*k*(k - 1)
Find g, given that -2/9*g**4 - 194/9*g**2 + 4*g**3 - 200/9 + 40*g = 0.
1, 2, 5, 10
Let z(v) = -4*v**2 + 32*v - 48. Let d(f) = 2*f**2 - f + 4. Let m(l) = 4*d(l) + z(l). Factor m(w).
4*(w - 1)*(w + 8)
Let n(h) = 20*h**2 + 10*h + 5. Let b(y) = 39*y**2 + 22*y + 8. Let p(r) = -3*b(r) + 5*n(r). Determine w, given that p(w) = 0.
-1, 1/17
Let p(g) be the first derivative of g**3/3 + 13*g**2/2 - 28*g - 95. Let v be p(-15). Suppose v*q**4 + 0 + 1/2*q**5 - q**3 - 6*q**2 + 9/2*q = 0. What is q?
-3, 0, 1
Let g(p) be the third derivative of 0*p**6 + 1/240*p**5 + 0*p**4 - 1/840*p**7 + 0*p**3 + 0 - 38*p**2 + 0*p. Solve g(s) = 0.
-1, 0, 1
Let z(l) = -4*l**3 + 17*l**2 + 9*l - 7. Let u(i) = 4*i**3 - 16*i**2 - 8*i + 8. Let d = 108 + -113. Let y(a) = d*u(a) - 4*z(a). Let y(w) = 0. Calculate w.
-1, 1, 3
Factor 1/10*j**5 + 9/5*j**3 + 2*j**2 + 4/5*j + 7/10*j**4 + 0.
j*(j + 1)*(j + 2)**3/10
Solve 0 - 58/15*w - 2/15*w**2 = 0.
-29, 0
Suppose 2*v - 2*b = 0, 0*v + 20 = 4*v + b. Let -v - 4*o**2 - 4*o + o**3 + 0*o**2 + o**4 + 4 = 0. Calculate o.
-2, -1, 0, 2
Let j = -13 - -19. Let p be 1/(3/j) - -5. Factor 5*z**2 + 4*z + 2*z**4 - p - 5*z**2 - 4*z**3 + 5.
2*(z - 1)**3*(z + 1)
Let t(a) be the first derivative of a**3/21 + 6*a**2/7 - 13*a/7 - 58. Suppose t(z) = 0. Calculate z.
-13, 1
Let x = 1730 - 1728. Let 6*q**x + 2/5 + 16/5*q - 32/5*q**4 - 16/5*q**3 = 0. What is q?
-1, -1/4, 1
Suppose 5*m - 11 = 3*r, m - 3*r + 0 = -5. Let f be 7 - (1/3)/(3/27). Factor 4*q**4 + 0*q**4 - q**f - 5*q**m.
-2*q**4
Let i = 120 + -117. What is m in 5*m**2 + 8*m - m**2 + 2*m**4 + 29*m**3 - 6 - 21*m**i - 16*m**3 = 0?
-1, 1, 3
Let v be -2 + ((-741)/(-190) - 1/(-10)). Let s be 2 - v - (6/(-18) - 0). Factor 2/9 + 1/9*p**3 - s*p + 0*p**2.
(p - 1)**2*(p + 2)/9
Let i(l) be the third derivative of l**9/75600 - l**8/16800 + l**6/1800 - l**5/600 - 3*l**4/4 + 20*l**2. Let p(r) be the second derivative of i(r). Factor p(x).
(x - 1)**3*(x + 1)/5
Let u be 2/(-2)*3*58/(-435). Factor -4/5*t**3 + 4/5*t - u*t**2 + 0 + 2/5*t**4.
2*t*(t - 2)*(t - 1)*(t + 1)/5
Let h be ((-9)/81)/(6/(-12)). Let p(c) be the first derivative of 2/9*c**2 + 7/27*c**6 - 1/2*c**4 - 7 + h*c**5 + 0*c - 10/27*c**3. Solve p(r) = 0 for r.
-1, 0, 2/7, 1
Let b = 1024/7 + -146. Let l(f) be the second derivative of 0*f**3 + f + 1/21*f**4 - b*f**2 + 0. Solve l(k) = 0 for k.
-1, 1
Let d(f) be the third derivative of f**7/420 - 3*f**6/80 + f**5/5 - f**4/3 + 33*f**2. Factor d(s).
s*(s - 4)**2*(s - 1)/2
Determine x, given that 4*x**3 - 5*x**3 + 1615*x - 642 - 202*x**2 + 6*x**3 - 803 + 27*x**2 = 0.
1, 17
Let g(v) = 4*v**2 - 5*v + 4. Let o(k) = 28*k**2 - 36*k + 28. Let c(p) = 20*g(p) - 3*o(p). Find q, given that c(q) = 0.
1
Let s(p) be the second derivative of -p**5/300 - p**4/60 + p**3/10 + 4*p**2 - 12*p. Let t(u) be the first derivative of s(u). Factor t(y).
-(y - 1)*(y + 3)/5
Suppose 0 = 3*f - 2*i - 18, 3*i = 5*f - 15 - 15. Suppose -j + 5*j - 3*n - 9 = 0, -2*j = 2*n + f. Solve 0*h - 2/5*h**3 + 1/5*h**2 + 1/5*h**4 + j = 0.
0, 1
Let u be (4 + (-392)/(-105))*3/(-2). Let p = -401/35 - u. Factor 1/7*j**2 - p + 0*j.
(j - 1)*(j + 1)/7
Let y(l) = -4*l**4 - 12*l**2 + 12. Let v(j) = j**3 - j**2 + 1. Let u(m) = -12*v(m) + y(m). Factor u(k).
-4*k**3*(k + 3)
Let n(x) be the second derivative of x**4/15 - 34*x**3/15 + 32*x**2/5 + 8*x + 1. Factor n(a).
4*(a - 16)*(a - 1)/5
Let w be 3/(-30)*-8 + (-417)/695. Suppose 1/10*m**2 + 0 - w*m = 0. What is m?
0, 2
Let b = 45 + -40. Factor 4*n**3 - 5*n**3 + 3*n**3 + 0*n**3 - 2*n**b.
-2*n**3*(n - 1)*(n + 1)
Let g(b) be the second derivative of b**6/40 - 33*b**5/80 + 9*b**4/16 + 11*b**3/8 - 15*b**2/4 + 8*b - 4. Find k, given that g(k) = 0.
-1, 1, 10
Let d(a) be the second derivative of -a**6/6 + a**5/4 + 5*a**4/4 - 5*a**3/6 - 5*a**2 + 42*a. Solve d(i) = 0 for i.
-1, 1, 2
Let z(c) be the second derivative of c**6/120 + c**5/40 - c**4/4 + 7*c**3/12 - 5*c**2/8 - 38*c. Suppose z(f) = 0. Calculate 