*(-9)/(-30). Let g*o**2 - 3/2*o + 9/4 = 0. Calculate o.
3
Let y(t) be the second derivative of t**4/4 + 39*t**3/2 + 6*t - 15. What is f in y(f) = 0?
-39, 0
Suppose -4*y - 13 = 5*t, 16*t - 12*t = -2*y - 14. Factor 0 - 10/7*v**y + 4/7*v**4 + 0*v + 4/7*v**2.
2*v**2*(v - 2)*(2*v - 1)/7
Find d such that 1/10*d**3 + 47/10*d - 9/5*d**2 - 3 = 0.
1, 2, 15
Let k(n) = 16*n + 10. Let u be k(3). Let s = 176/3 - u. Factor -2*v**2 + s*v - 8/3*v**3 + 0.
-2*v*(v + 1)*(4*v - 1)/3
Let p = -11 + 15. Suppose -5*t + 0*v + 2*v = -20, -v + 3 = p*t. Find l such that -l - 1/4*l**t - 1 = 0.
-2
Suppose 0 = 3*a + a - 88. Let i = -22 + a. Factor -2/5*k**2 + i*k + 2/5*k**3 + 0.
2*k**2*(k - 1)/5
Let u(s) be the third derivative of -s**6/1080 - 7*s**5/135 - 221*s**4/216 - 169*s**3/27 - s**2 - 97*s. Suppose u(m) = 0. What is m?
-13, -2
Let p(q) be the first derivative of 28/3*q**3 + 4*q**5 - 4*q**2 - 4 - 9*q**4 - 2/3*q**6 + 0*q. Factor p(d).
-4*d*(d - 2)*(d - 1)**3
Factor -4/5*n - 2/5*n**2 + 1/5*n**3 + 8/5.
(n - 2)**2*(n + 2)/5
Let n(b) = b**4 + 4*b**3 + 6*b**2. Let x(f) = -17*f**2 + 3 - 3 + 16*f**2. Let l(s) = 2*n(s) + 4*x(s). Factor l(o).
2*o**2*(o + 2)**2
Let p(t) be the third derivative of t**7/1260 + t**6/30 + 3*t**5/5 + 5*t**4/8 + 14*t**2. Let f(m) be the second derivative of p(m). Factor f(q).
2*(q + 6)**2
Factor -41*t + 35*t**2 + 170*t**2 + 45 + 91*t + 180*t + 20*t**3.
5*(t + 1)*(t + 9)*(4*t + 1)
Factor 835*n**2 + 6*n - 55*n - n**3 - 861*n**2 - 24.
-(n + 1)**2*(n + 24)
Let n(y) be the second derivative of 1/378*y**7 + 13/180*y**5 + 1/9*y**4 - 2*y + 0*y**2 - 1 + 1/45*y**6 + 2/27*y**3. Factor n(k).
k*(k + 1)**2*(k + 2)**2/9
Let h(t) be the first derivative of t**5/20 - t**4/4 + t**3/3 + 119. Factor h(o).
o**2*(o - 2)**2/4
Let r(i) be the first derivative of 68590*i**4 + 7220*i**3 + 285*i**2 + 5*i + 40. Factor r(m).
5*(38*m + 1)**3
Let f(m) be the third derivative of -m**8/70560 - m**7/4410 - m**6/840 - m**5/10 - m**4/24 + 17*m**2. Let p(t) be the third derivative of f(t). Factor p(u).
-2*(u + 1)*(u + 3)/7
Let b be (-4)/28 - (-90)/42. Factor 4 - 11643*j - 2*j**b + 11653*j + 4*j**2 + 8.
2*(j + 2)*(j + 3)
Let c = -746/7 + 3814/35. Determine r so that 14/5*r + 0 + c*r**2 - 2/5*r**3 = 0.
-1, 0, 7
Find i such that -196*i**3 + 32 + 196*i**3 - 5*i**4 - 16*i**2 + 7*i**4 = 0.
-2, 2
Let i = 109 - 99. Suppose i = 3*n + 2*n. Find o such that 0*o + 4/3*o**5 + 2/3*o**n + 0 - 5/3*o**4 - 7/3*o**3 = 0.
-1, 0, 1/4, 2
Factor 2*f**3 - 2789*f**4 + 6*f**3 + 2787*f**4 - 8*f**2.
-2*f**2*(f - 2)**2
Let a(y) = -y**3 + y**2 + y + 4. Let v be a(0). Suppose -18*b**3 + 0*b**v - 3*b**4 - 28*b - 39*b**2 - 12 - 8*b = 0. What is b?
-2, -1
Let w(l) be the second derivative of -l**4/24 - 32*l**3/3 - 1024*l**2 - 4*l - 5. Find x, given that w(x) = 0.
-64
Let k be ((-33)/15)/((-4)/(0 - 20)). Let o(q) = q**2 + 14*q + 36. Let v be o(k). Factor -2/3*y + 0 + 0*y**2 + 4/3*y**4 + 2*y**v.
2*y*(y + 1)**2*(2*y - 1)/3
What is z in 0*z - 2/7*z**5 + 0*z**2 + 0*z**3 + 0 - 4/7*z**4 = 0?
-2, 0
Let o = 44839 + -224191/5. Factor -1/5*h**3 + h**2 - 8/5*h + o.
-(h - 2)**2*(h - 1)/5
Let s be 5 + 0 - (3 + 0). Suppose -4*u + 8*u = 0. Factor 0*k + 2/5*k**s + u + 2/5*k**3.
2*k**2*(k + 1)/5
Let t = 2407/5 + -481. Factor -4/5 - t*i**3 - 2*i - 8/5*i**2.
-2*(i + 1)**2*(i + 2)/5
Let j = 3 - 1. Let s(p) = -p**2 + 30*p - 224. Let a be s(16). Determine z, given that -1/5*z**j + a - 1/5*z = 0.
-1, 0
Let o(p) be the second derivative of p**4/3 - 16*p**3 + 216*p**2 - 568*p. Factor o(u).
4*(u - 18)*(u - 6)
Let f(w) be the first derivative of -2*w**5 + 31*w**4 - 16*w**3 - 162. Let f(y) = 0. What is y?
0, 2/5, 12
Let i(y) be the first derivative of -y**4 - 4*y**3 + 2*y**2 + 12*y - 11. Find b, given that i(b) = 0.
-3, -1, 1
Suppose -10*j = -2*j - 104. Factor 16*x - 57 + 12 - 2*x**2 + j.
-2*(x - 4)**2
Let o = -11 + 18. Let x(w) = -40*w**3 + 71*w**2 - 8. Let t(m) = 79*m**3 - 142*m**2 - m + 15. Suppose z = -2 + 6. Let i(v) = o*x(v) + z*t(v). Solve i(n) = 0.
-1/4, 2/9, 2
Let c(k) be the first derivative of -49*k**5/10 + 7*k**4/6 + 40*k**3/3 - 16*k**2 + 19*k + 13. Let b(t) be the first derivative of c(t). Factor b(v).
-2*(v + 1)*(7*v - 4)**2
Let i = 15188 + -60289/4. Let w = -115 + i. Determine p, given that 0 + 0*p**2 + 0*p + 1/2*p**3 + w*p**4 = 0.
-2/3, 0
Let -46/19*b - 2/19*b**4 + 6/19*b**2 + 14/19*b**3 + 28/19 = 0. Calculate b.
-2, 1, 7
Let p(d) be the first derivative of -11/12*d**4 + 1/5*d**5 + 5/6*d**3 + d**2 + 11 + 10*d. Let f(l) be the first derivative of p(l). Factor f(o).
(o - 2)*(o - 1)*(4*o + 1)
Let k(u) = -10*u - 5. Let z be k(-1). Factor r**4 - 6*r**2 - 2*r**3 + 10*r + 2*r**5 + z*r**4 - 14*r + 4*r**3.
2*r*(r - 1)*(r + 1)**2*(r + 2)
Let c = 7413 + -7410. Factor -5/3*w**2 + 0 - 1/3*w**c - 2*w.
-w*(w + 2)*(w + 3)/3
Let a(f) be the second derivative of f**4/4 + 5*f**3/2 - 36*f**2 + 12*f + 3. Let a(d) = 0. What is d?
-8, 3
Suppose -5*x - 10 + 30 = 0. Let z = 5 - 2. Factor -4*n + x*n**3 - n**3 + n + 3*n**4 - z*n**2.
3*n*(n - 1)*(n + 1)**2
Let a(s) = -s**3 - s**2. Let p be a(0). Suppose 10*z + 12 = 16*z. Determine d so that 6*d + p*d**2 - 3*d**2 + 0*d + 6*d**z = 0.
-2, 0
Let i(k) be the second derivative of 3/8*k**6 - 25/48*k**4 - 5/84*k**7 - 5/2*k**2 + 5/2*k**3 + 0 - 36*k - 5/8*k**5. Let i(c) = 0. What is c?
-1, 1/2, 1, 2
Let n = -197/78 - -83/26. Factor 5/3*c**4 - 7/3*c**2 + n + c**3 - c.
(c - 1)*(c + 1)**2*(5*c - 2)/3
Let v(g) = -g**5 + g**4 + g**3 - g. Let s be (-1)/5 + (-190)/50. Let q(f) = 2*f**5 + 2*f**3 - 8*f**2 - 4*f. Let u(d) = s*v(d) - q(d). What is p in u(p) = 0?
-1, 0, 2
Let l be 3/3*24/60. Let n(f) be the first derivative of 2/15*f**3 + 3/10*f**4 + 0*f - l*f**2 - 2/25*f**5 - 1/15*f**6 - 10. Determine k, given that n(k) = 0.
-2, -1, 0, 1
Factor -105/2*y - 3*y**2 - 72.
-3*(y + 16)*(2*y + 3)/2
Let u(t) be the second derivative of 0 + 0*t**3 + 0*t**2 + 1/135*t**6 - 1/54*t**4 - 23*t + 0*t**5. Find x such that u(x) = 0.
-1, 0, 1
Let s(w) be the third derivative of w**5/15 + 11*w**4/3 + 48*w**3 + 56*w**2. What is b in s(b) = 0?
-18, -4
Suppose -5*u + 28*u = -43*u + 330. Let 4*v**3 + 8/9*v - 52/9*v**2 + 0 + 160/9*v**4 + 64/9*v**u = 0. What is v?
-2, -1, 0, 1/4
Let y(p) be the third derivative of -p**8/144 - 11*p**7/210 - 23*p**6/180 - p**5/15 + p**4/9 - 4*p**2 + 9*p. Let y(n) = 0. What is n?
-2, -1, 0, 2/7
Solve 3/8*k - 3/8*k**2 + 0 = 0 for k.
0, 1
Let v be -3*(-4 - (-18)/6). Find z, given that -11*z - v*z - 6*z**2 + 7*z**2 = 0.
0, 14
Suppose 0 = 20*g - 3*g. Let i(s) be the third derivative of 0*s - 5*s**2 + s**4 + g - 4/3*s**3 + 7/30*s**5. Factor i(p).
2*(p + 2)*(7*p - 2)
Let u(r) be the first derivative of -r**5/5 + 8*r**4/3 - 32*r**3/3 + r + 5. Let f(s) be the first derivative of u(s). Find b, given that f(b) = 0.
0, 4
Let o(k) = k - 11. Let l be (0 - -17) + (3/1)/(-1). Let v be o(l). Solve 2/13*q**5 + 4/13*q + 2/13*q**2 + 0 - 6/13*q**v - 2/13*q**4 = 0 for q.
-1, 0, 1, 2
Let g(y) = -2*y + 19. Let w be g(7). Let s(k) = k**3 - 6*k**2 + 6*k - 5. Let r be s(w). Let 1/2*d**4 + d**2 + 3/2*d**3 + r + 0*d = 0. What is d?
-2, -1, 0
Let s(v) = 2*v**2 + 4*v - 13. Suppose 5*q = 2*k + 23, -32 + 17 = 3*k - q. Let o be s(k). Find a, given that 0*a + 0 - 9/7*a**2 - 12/7*a**o = 0.
-3/4, 0
Let b = 25047 - 2755119/110. Let h = b + 2/55. Factor -3/4*q - h - 1/4*q**2.
-(q + 1)*(q + 2)/4
Suppose -64/3 + 32/3*i - 4/3*i**2 = 0. Calculate i.
4
Let a(i) be the second derivative of -i**5/90 - i**4/6 - 2*i**3/3 - 180*i + 2. Factor a(q).
-2*q*(q + 3)*(q + 6)/9
Let b(w) be the second derivative of 2*w**3 + 0 + 4*w**2 - 16*w - 7/3*w**4 + 2/3*w**6 - 3/5*w**5. Suppose b(q) = 0. What is q?
-1, -2/5, 1
Suppose 0 = 4*b - 5*p - 15, 0 = p + 1 - 2. Let k(f) be the first derivative of f - b + 0*f**2 - 1/3*f**3. What is d in k(d) = 0?
-1, 1
Let l = 3682 - 3678. Factor 4/3*s**l + 0*s**2 + 0 + 2*s**3 - 2/3*s.
2*s*(s + 1)**2*(2*s - 1)/3
Let z be 22/33*(-66)/(-4). Factor 13*c + 10 + 11 + 3*c**2 + z*c.
3*(c + 1)*(c + 7)
Let k = 23 + -21. Suppose -3*b = -3*p - 15, 3*b + 0*p - 13 = k*p. Factor -5*h + 0*h**b + 5*h**4 - 5*h**3 - 15*h**2 + 10 + 10*h**3.
5*(h - 1)**2*(h + 1)*(h + 2)
Find g, given that 1/8*g**4 - 1/2*g**3 + 0*g**2 - 2 + 2*g = 0.
-2, 2
Let j(w) be the third derivative of w**8/504 + w**7/63 + w**6/18 + w**5/9 + 5*w**4/36 + w**3/9 + 3*w**2 + 2. Solve j(a) = 0.
-1
Find j