 0
Let d(o) be the third derivative of 0*o + 1/24*o**4 - 5/24*o**3 + 0 + 1/240*o**5 - o**2. Solve d(w) = 0 for w.
-5, 1
Suppose -4*g**4 + 2*g + 6*g**3 + 5*g**3 + 12*g**2 + 10*g**3 - 19*g**3 - 4 = 0. Calculate g.
-1, 1/2, 2
Let u(l) be the second derivative of 1/36*l**3 + 14*l + 0 + 1/6*l**2 - 1/36*l**4 - 1/120*l**5. Factor u(d).
-(d - 1)*(d + 1)*(d + 2)/6
Let t(w) be the third derivative of w**6/180 - w**5/9 + 8*w**4/9 - 32*w**3/9 + 417*w**2. Suppose t(u) = 0. What is u?
2, 4
Let b be (5 - 0/2)/1. Let d(s) = -5 + 15200*s - 15200*s + 7*s**2. Let c(k) = 4*k**2 - 3. Let n(y) = b*c(y) - 3*d(y). Factor n(q).
-q**2
Let u(m) be the first derivative of -3/2*m - 4 + 1/8*m**4 + 7/4*m**2 - 5/6*m**3. Find l such that u(l) = 0.
1, 3
Let k(q) = -q**2 + 7*q - 8. Let h be k(5). Find z, given that -3/2*z**4 + 0*z + 1/2*z**5 + z**3 + 0 + 0*z**h = 0.
0, 1, 2
Let n(d) = -d**3 - 16*d**2 - 16*d - 13. Let p be n(-15). Suppose 5*x - 7 = 4*f, -p*f + x - 1 + 2 = 0. Factor 0 + 6/5*c**3 + 2/5*c**4 + 6/5*c**f + 2/5*c.
2*c*(c + 1)**3/5
Let q be 7/70*(-288)/(-6) + -4. Factor -q + 14/5*x**3 + 22/5*x - 32/5*x**2.
2*(x - 1)**2*(7*x - 2)/5
Let n(r) be the third derivative of r**3 + 3/16*r**4 + 0 + 13*r**2 + 0*r - 7/40*r**5. What is u in n(u) = 0?
-4/7, 1
Let r be 1260/405 + 3/(-1). Let l(i) be the second derivative of 5*i - 1/9*i**3 + 1/18*i**4 - 1/90*i**5 + 0 + r*i**2. Factor l(k).
-2*(k - 1)**3/9
Find q, given that -10086 - 296*q - 6811 - q**2 - 5007 = 0.
-148
What is x in -75/4*x - 85/2 + 45/2*x**2 - 5/4*x**3 = 0?
-1, 2, 17
Let g(a) = 21*a**2 + 155*a + 118. Let m(i) = -13*i**2 - 102*i - 79. Let y(l) = 5*g(l) + 8*m(l). Solve y(t) = 0 for t.
-1, 42
Let p = -7 - -9. Suppose -3*t - 7 - 2 = 5*x, 5*x = -p*t - 11. Factor 4/7 + 6/7*g + 2/7*g**t.
2*(g + 1)*(g + 2)/7
Let u(i) be the first derivative of -6*i**3/13 - i**2 - 8*i/13 - 5. Factor u(s).
-2*(s + 1)*(9*s + 4)/13
Let v(j) be the second derivative of j**5/120 + j**4/2 + 12*j**3 - 10*j**2 + 6*j. Let b(l) be the first derivative of v(l). Suppose b(p) = 0. What is p?
-12
Let i(t) be the third derivative of 1/27*t**3 + 0 - 1/216*t**4 - 1/270*t**5 + 0*t + t**2 + 1/1080*t**6. Determine z, given that i(z) = 0.
-1, 1, 2
Let u = -9791 + 19587/2. Suppose 0 - u*x**3 + 0*x + 5/2*x**2 = 0. Calculate x.
0, 1
Let i(p) = 15*p - 21. Let u be i(-13). Let n = 220 + u. Factor 1/4*h**3 - 1/4*h**n + 0 + 1/4*h**2 - 1/4*h.
-h*(h - 1)**2*(h + 1)/4
Let t = -806/3 - -5660/21. Determine s so that 18/7 - t*s - 10/7*s**2 - 2/7*s**3 = 0.
-3, 1
Suppose 33*g = 37*g - 8. Let y(t) be the third derivative of 1/60*t**6 - 1/30*t**5 + 0 + 4*t**g - 1/12*t**4 + 0*t + 1/3*t**3. Determine o so that y(o) = 0.
-1, 1
Let a(g) be the second derivative of -g**6/15 - g**5/5 + 2*g**4/3 + 8*g**3/3 - g + 3. Factor a(y).
-2*y*(y - 2)*(y + 2)**2
Suppose 11*h - 10*h = -5, 2*o = -h + 3. Let y(i) be the second derivative of 0 + 9/2*i**2 - i**3 - 4*i + 1/12*i**o. Suppose y(r) = 0. Calculate r.
3
Let o be -3 - (-36)/((-30)/(-5)). Let b = 5 + 1. Factor b*i**3 - 3*i**2 + 6*i**3 - o*i**3 - 3*i**4 + 3 - 9*i + 3.
-3*(i - 2)*(i - 1)**2*(i + 1)
Let v(w) = -w**3 + 10*w**2 - 14. Let j be v(7). Let b = j + -529/4. Factor 0 - b*m**4 + 0*m + 1/2*m**3 + 1/4*m**2.
-m**2*(m - 1)*(3*m + 1)/4
Let v(b) be the first derivative of -b**3/7 + 9*b**2/2 + 205. Let v(g) = 0. Calculate g.
0, 21
Let c(z) be the first derivative of 1/9*z**3 + 0*z**4 + 0*z + 0*z**2 - 1/15*z**5 - 16. Find g such that c(g) = 0.
-1, 0, 1
Let k be (-30)/18*(-2)/5. Let d(u) be the first derivative of -k*u + 2 + 1/6*u**2 + 1/9*u**3. Factor d(g).
(g - 1)*(g + 2)/3
Determine r so that 2/3*r**5 - 13/6*r**4 + 1/3 + 7/6*r**3 + 11/6*r**2 - 11/6*r = 0.
-1, 1/4, 1, 2
Let z = 16 - 106/7. Determine c so that 9/7*c**4 - 3/7*c**3 + z - 15/7*c**2 + 3/7*c = 0.
-1, -2/3, 1
Suppose -29*b + 33*b = -4. Let u(p) = 16*p**3 - 10*p**2 - 4*p + 10. Let k(c) = -c**3 + c**2 - c - 1. Let w(d) = b*u(d) - 6*k(d). Factor w(t).
-2*(t - 1)*(t + 1)*(5*t - 2)
Let g = -2/449 - -459/2245. Factor -1/5*x**3 - g*x**2 + 1/5*x + 1/5.
-(x - 1)*(x + 1)**2/5
Suppose w + 8*s = 5*s - 2, 0 = -w + 2*s + 3. Let v be (-18)/(-6) - (w - 0). Factor -1/3*h**3 + 0*h**v + h - 2/3.
-(h - 1)**2*(h + 2)/3
Let v be -1 + 27/12 + 2 + 31 + -34. Suppose 2*g - v*g**2 - 7/4 = 0. Calculate g.
1, 7
Let t = -1 - -4. Suppose 20 - 13*r**t - 45*r**5 + 85*r**2 + 424*r**4 + 80*r - 529*r**4 - 22*r**3 = 0. What is r?
-1, -2/3, 1
Suppose -3 = -5*w + 7. Factor j**3 - 4*j**3 - 23 + 2*j**3 + 21 + j + w*j**2.
-(j - 2)*(j - 1)*(j + 1)
Let h = -39 + 39. Suppose h = 44*u - 48*u + 8. Determine v, given that 0*v - 3/4*v**5 + 1/4*v**4 + 0*v**u + 0 + 1/2*v**3 = 0.
-2/3, 0, 1
Let y(n) = -45*n**2 - 71*n - 25. Let w = -16 - -12. Let f(v) = -22*v**2 - 36*v - 12. Let s(p) = w*y(p) + 9*f(p). Let s(g) = 0. What is g?
-2, -2/9
Suppose l = 2*u - l - 14, u - 2*l - 11 = 0. Let g(i) be the first derivative of -2 + 1/3*i**u + 1/2*i**2 + 0*i. Determine j so that g(j) = 0.
-1, 0
Let a(s) = -s**3 - 12*s**2 + 15*s + 31. Let p be a(-13). Find b, given that -2048*b + 11*b**4 - 4*b**p - 1309*b**2 - 79*b**4 - 99*b**2 - 448*b**3 - 1024 = 0.
-4, -1
Let s = 67/40 + 1/8. Let v(z) be the second derivative of 0 - 2/5*z**3 + s*z**2 + 1/30*z**4 + 3*z. Factor v(d).
2*(d - 3)**2/5
Suppose -t + 14 = z, 3*t + 5*z + 3 - 51 = 0. Suppose -5*w - 1 = -t. Factor -2*n**5 - 4*n + 2*n**3 + 6*n - w*n.
-2*n**3*(n - 1)*(n + 1)
Let n be 11/44 + (-146)/8. Let l = n - -17. Let b(w) = -w**3 - 5*w**2 - 2*w - 1. Let v(d) = d**3 + d**2 + 1. Let y(h) = l*b(h) - 3*v(h). Factor y(g).
-2*(g - 1)**2*(g + 1)
Let l = 4811/644 + -171/23. Let y(a) be the third derivative of 1/210*a**5 + 0*a - 10*a**2 + 0 - l*a**4 + 0*a**3. Let y(w) = 0. Calculate w.
0, 3
Factor 72/7*g**3 + 4/7*g**5 + 0 + 80/7*g**2 + 32/7*g + 4*g**4.
4*g*(g + 1)*(g + 2)**3/7
Factor 2/5*r - 6/5 - 2/5*r**3 + 6/5*r**2.
-2*(r - 3)*(r - 1)*(r + 1)/5
Let g(q) be the second derivative of q**7/56 + 13*q**6/40 + 9*q**5/5 + 9*q**4/4 - 560*q. Factor g(y).
3*y**2*(y + 1)*(y + 6)**2/4
Factor 0 - 9*s**2 - 3*s - 9/2*s**4 - 39/4*s**3 - 3/4*s**5.
-3*s*(s + 1)**2*(s + 2)**2/4
Let g(a) be the first derivative of 5*a**6/6 + 8*a**5/3 + 35*a**4/12 + 10*a**3/9 + 182. Factor g(u).
5*u**2*(u + 1)**2*(3*u + 2)/3
Let n(w) = w**2 - w**3 - w - 1 + w**3 - 2*w**3 + w**3. Let f(j) = j**3 + 3*j**2 - 6*j + 6. Let s(b) = -f(b) - 2*n(b). What is a in s(a) = 0?
1, 2
Let q(z) be the second derivative of 0*z**4 - 12*z + 1/30*z**6 - 1/10*z**5 + 0*z**3 + 0 + 0*z**2. Determine n so that q(n) = 0.
0, 2
Let x(l) be the first derivative of 2*l**5/25 - 7*l**4/10 - 106*l**3/15 - 81*l**2/5 - 72*l/5 + 80. Find r such that x(r) = 0.
-3, -1, 12
Suppose 5*u = -4*r + 4, u = 3*r - 2 - 1. Let v(q) be the third derivative of -3*q**2 + 0 - 1/210*q**5 + 0*q**3 + 1/84*q**4 + u*q. What is s in v(s) = 0?
0, 1
Let a(k) be the third derivative of -k**7/105 + 11*k**6/180 + 19*k**5/90 + 5*k**4/36 + 70*k**2. Solve a(h) = 0 for h.
-1, -1/3, 0, 5
Let j(r) be the third derivative of -2*r**7/105 - 4*r**6/15 - 2*r**5/15 + 16*r**4/3 - 14*r**3 + 55*r**2. Factor j(u).
-4*(u - 1)**2*(u + 3)*(u + 7)
Let q(n) be the first derivative of -9/8*n**2 + 16 - 1/4*n**3 - 3/2*n. Let q(m) = 0. Calculate m.
-2, -1
Factor -2/3*w**2 - 1/9*w**5 + 0*w + 0 + 11/9*w**3 - 4/9*w**4.
-w**2*(w - 1)**2*(w + 6)/9
Let k(v) be the third derivative of -v**8/112 + v**7/14 - 9*v**6/40 + 7*v**5/20 - v**4/4 - 605*v**2. Factor k(f).
-3*f*(f - 2)*(f - 1)**3
Let s(y) be the third derivative of y**7/840 + y**6/60 - y**5/20 - 3*y**4/2 + 72*y**2. Factor s(l).
l*(l - 4)*(l + 6)**2/4
Let l(r) be the second derivative of -r**9/3024 + r**8/840 - r**7/840 + r**3/3 - 41*r**2/2 + 2*r - 7. Let q(g) be the second derivative of l(g). Factor q(c).
-c**3*(c - 1)**2
Let f(g) be the second derivative of -g**7/2520 - 3*g**4/4 + 6*g. Let c(p) be the third derivative of f(p). Factor c(q).
-q**2
Let s(g) = -2*g**3 + 47*g**2 + 3*g + 1. Let v(y) = y**3 - 3*y - 1. Let q(c) = -4*s(c) - 4*v(c). Determine h, given that q(h) = 0.
0, 47
Suppose -3*s = -3*p - 3, p + 5*s = 30 - 7. Let 0 - 2/3*y**5 + 0*y**2 + 0*y + 2*y**4 - 4/3*y**p = 0. Calculate y.
0, 1, 2
Let d(y) be the first derivative of -35/9*y**3 + 1 - 15/2*y**2 - 10/3*y. Find a such that d(a) = 0.
-1, -2/7
Let c = -1 - 249. Let q = c - -2254/9. Factor -2/9*y**5 + q*y**4 + 0 + 0*y - 2/9*y**3 + 