5 + 4/5*f + 2/5*f**2.
2*(f + 1)**2/5
Let r = -6414 - -3078721/480. Let l(t) be the third derivative of 1/32*t**4 - t**2 + 0*t + 0 + r*t**6 - 1/24*t**3 - 1/80*t**5. Factor l(g).
(g - 1)**3/4
Solve 3*c**3 + 0*c**4 + 20*c**5 + c**2 - c**4 - 23*c**5 = 0 for c.
-1, -1/3, 0, 1
Let l(h) = -h + 5. Let f be l(10). Let g(j) = j**3 + 6*j**2 + 3*j - 7. Let m be g(f). What is d in -3*d + 0*d + 2*d**m + d = 0?
-1, 0, 1
Factor 0 - 1/2*d + 1/2*d**2.
d*(d - 1)/2
What is z in 0*z + 0*z**2 - 1/2*z**3 + 0 = 0?
0
Let u(o) be the first derivative of 2*o**5/5 - o**4 + 2*o**3/3 + 12. Factor u(w).
2*w**2*(w - 1)**2
Factor -1 + 7/4*x**3 + 2*x + 19/4*x**2.
(x + 1)*(x + 2)*(7*x - 2)/4
Factor 1/3*q**2 + 0 + 2/3*q.
q*(q + 2)/3
Let u(b) be the third derivative of -b**5/540 + 5*b**4/216 + 4*b**2. Factor u(f).
-f*(f - 5)/9
Let h(j) be the third derivative of 1/105*j**7 + 0*j**6 + 4*j**2 + 1/168*j**8 + 0*j**4 + 0*j**3 + 0*j**5 + 0 + 0*j. Solve h(o) = 0.
-1, 0
Suppose 8 - 4 = 2*x. Factor -x*r**4 + 52 + 2*r**2 - r**5 - 52 + r**3.
-r**2*(r - 1)*(r + 1)*(r + 2)
Let h(i) be the third derivative of i**5/180 - i**4/72 + 38*i**2. Suppose h(r) = 0. Calculate r.
0, 1
Let i(c) be the first derivative of c**5/180 - c**4/36 + c**3/18 - c**2/2 + 3. Let q(u) be the second derivative of i(u). What is z in q(z) = 0?
1
Suppose -5*d + y - 54 = 6, -2*d - 2*y = 24. Let o = -8 - d. Factor 0 - r**2 + 5 + 0*r**2 - o.
-(r - 1)*(r + 1)
Let t = -2083/3 - -695. Find u, given that t*u**3 + u**4 - u + 1/3*u**5 - 2/3*u**2 - 1/3 = 0.
-1, 1
Let g be -2 + (7 - (2 - -3)). Let l(n) be the third derivative of g + 3*n**2 + 0*n + 1/24*n**3 - 1/240*n**5 + 0*n**4. Factor l(d).
-(d - 1)*(d + 1)/4
Let f(k) be the third derivative of -k**8/8960 + k**7/1120 - k**5/40 - k**4/24 + 6*k**2. Let d(i) be the second derivative of f(i). What is l in d(l) = 0?
-1, 2
Let f(z) be the third derivative of 0 + 0*z**5 + 0*z + 1/160*z**6 + 0*z**3 - 1/32*z**4 - 2*z**2. Determine r so that f(r) = 0.
-1, 0, 1
Let l be -3 - 5/(660/(-3052)). Let i = l + -38/11. Factor 0 + i*v**5 + 140/3*v**4 + 8/3*v + 46*v**3 + 56/3*v**2.
2*v*(v + 1)**2*(5*v + 2)**2/3
Let v be -1*2 - -1*10. Solve -2 - v*m - 4 - 2 - 2*m**2 = 0 for m.
-2
Let i(p) = 29*p**2 + p. Let g(x) = 4*x**2. Let t(m) = 28*g(m) - 4*i(m). Find o, given that t(o) = 0.
-1, 0
Let n(w) be the second derivative of w**8/10080 + w**7/945 + w**6/216 + w**5/90 - w**4/3 - 3*w. Let r(x) be the third derivative of n(x). Factor r(h).
2*(h + 1)**2*(h + 2)/3
Let t(b) be the first derivative of b**3/30 + b**2/4 - 3*b/5 - 18. Factor t(i).
(i - 1)*(i + 6)/10
Let j(a) = -a + 4. Let h be j(0). Let i = h + -2. Factor t**2 + t**3 + 4*t**3 + t**i - 3*t**3.
2*t**2*(t + 1)
Let u = 0 + 14. Suppose 3*q - u = -x, 2*q + 5*x = -7 + 25. Let 4*o - 5 + 3 - 6*o**3 + 2*o**3 + 2*o**q = 0. Calculate o.
-1, 1
Let g(r) be the second derivative of -r**5/110 - 3*r**4/22 - 8*r**3/11 - 16*r**2/11 - 2*r - 9. Suppose g(l) = 0. Calculate l.
-4, -1
Let i(k) be the first derivative of 0*k + 3/4*k**4 - 1/5*k**5 - k**3 + 1/2*k**2 - 3. Suppose i(n) = 0. What is n?
0, 1
Let v(p) be the third derivative of p**6/1200 - p**5/600 - 11*p**2. Factor v(f).
f**2*(f - 1)/10
Let g(i) be the second derivative of i**4/6 + i**3/3 - 2*i**2 - 4*i. Factor g(q).
2*(q - 1)*(q + 2)
Let n = 8 - 5. Let t be 3/n - 1/(-1). Determine g so that -2/5*g**t - 8/5*g - 8/5 = 0.
-2
Let n(p) = -3*p**3 + 16*p**2 - 11*p + 6. Let b(c) = -21*c**3 + 111*c**2 - 78*c + 42. Let j(i) = -4*b(i) + 27*n(i). Factor j(g).
3*(g - 2)*(g - 1)**2
Let n(s) be the first derivative of -s**4/6 + 2*s**3/9 + s**2/3 - 2*s/3 - 6. Factor n(k).
-2*(k - 1)**2*(k + 1)/3
Let p be 88/(-6)*(-3)/2. Suppose -3*x - p = -5*x. Factor -x*b**2 - 44*b**4 + 3*b**2 + 56*b**3 - 54*b**4.
-2*b**2*(7*b - 2)**2
Let w(j) = j**2 - 4*j + 5. Suppose 11*h - 6 = 9*h. Let n be w(h). Find z, given that 0*z - 14/5*z**3 + 0 + n*z**4 + 4/5*z**2 = 0.
0, 2/5, 1
Let f be (-16)/(-10) + (-32)/(-80). Let x(w) be the second derivative of 1/5*w**f - 1/15*w**4 + 1/75*w**6 + 0*w**3 + 0 + 2*w + 0*w**5. Factor x(j).
2*(j - 1)**2*(j + 1)**2/5
Let t = -5 + -8. Let o = t - -13. Factor 2/7 + 2/7*r**4 - 4/7*r**2 + 0*r**3 + o*r.
2*(r - 1)**2*(r + 1)**2/7
Let p(b) be the first derivative of -2*b**3/3 - 2*b**2/3 + 2. Find d such that p(d) = 0.
-2/3, 0
Let q(k) = 33*k**3 - 39*k**2 + 6*k - 6. Let c(v) = 33*v**3 - 39*v**2 + 6*v - 5. Let j(r) = 6*c(r) - 5*q(r). Suppose j(o) = 0. What is o?
0, 2/11, 1
Let j(o) be the second derivative of 2/21*o**3 - 3/14*o**2 + 0 - 6*o - 1/84*o**4. Factor j(n).
-(n - 3)*(n - 1)/7
Suppose 5*p - 2*p - 11 = -q, -3*p - 2*q = -13. Suppose 0 + 0*s + 1/3*s**2 + 1/3*s**p = 0. What is s?
-1, 0
Let g be 14 + -9 - (-87)/(-21). Solve g + 9/7*t**3 - 3/7*t**2 - 3/7*t**4 - 9/7*t = 0.
-1, 1, 2
Let n(w) be the third derivative of w**4/24 - 5*w**3/6 - 2*w**2. Let y be n(7). Solve c**5 - 3*c - 4 + 3*c**4 - 6*c**2 - 1 + 4 + 2*c**3 + 4*c**y = 0.
-1, 1
Let t(h) be the third derivative of 1/24*h**4 + 0 + 0*h**3 - 4*h**2 - 1/60*h**5 + 0*h. Factor t(v).
-v*(v - 1)
Let a(h) be the second derivative of -2*h - 1/42*h**4 + 2/7*h**2 + 0 + 1/21*h**3. Factor a(r).
-2*(r - 2)*(r + 1)/7
Let c(q) be the second derivative of 3*q**5/20 - q**4/4 - q**3 - 21*q. Factor c(z).
3*z*(z - 2)*(z + 1)
Let t(k) = 4*k**2 + 76*k + 3. Let v be t(-19). Factor 2/11*y**v + 4/11 + 10/11*y + 8/11*y**2.
2*(y + 1)**2*(y + 2)/11
Let a(y) be the second derivative of y**6/15 - 7*y**5/20 + 7*y**4/12 - y**3/3 + 4*y. Factor a(j).
j*(j - 2)*(j - 1)*(2*j - 1)
Let w(g) = -14*g**3 - 5*g**2 + 8*g + 11. Let f(s) = 5*s**3 + 2*s**2 - 3*s - 4. Let n(t) = 11*f(t) + 4*w(t). Factor n(u).
-u*(u - 1)**2
Suppose 2*b - 1 = -3*f + 3, -2*f + b = -5. Determine s, given that 2/3*s**3 - 4/3*s**f + 2/3*s + 0 = 0.
0, 1
Determine b, given that -3*b**4 + 30*b**2 - 4*b**3 + 4*b - 26*b**2 - b**4 = 0.
-1, 0, 1
Let o(q) = -q + 17. Let z be o(13). Let v(x) be the second derivative of 3*x + 1/3*x**3 + 0 - 1/30*x**6 + 1/2*x**2 + 0*x**z - 1/10*x**5. Solve v(s) = 0.
-1, 1
Let s(l) be the second derivative of -l**4/6 + 3*l. Solve s(o) = 0.
0
Let z(u) be the second derivative of u**7/14 - 3*u**5/5 - 49*u. Solve z(l) = 0 for l.
-2, 0, 2
Let j = 30 - 28. Let o(p) be the first derivative of -1 + 2*p + 1/3*p**3 + 3/2*p**j. Factor o(b).
(b + 1)*(b + 2)
Let w(y) be the second derivative of -3*y + 0*y**3 + 1/36*y**4 - 1/90*y**5 + 0 - 3/2*y**2. Let u(b) be the first derivative of w(b). Factor u(g).
-2*g*(g - 1)/3
Suppose -3*f = -3*z + 18, -f - 4*f = -3*z + 24. Determine v, given that 1/3*v**z + 0*v**2 + 0 + 0*v = 0.
0
Let g = -10 - -4. Let k be (-5 - -4)/(3/g). Suppose 0 + 0*l + 1/2*l**3 + 1/2*l**k = 0. What is l?
-1, 0
Let m(u) be the third derivative of u**5/330 + u**4/22 + 5*u**3/33 - 21*u**2. Factor m(v).
2*(v + 1)*(v + 5)/11
Let n = 138 - 1240/9. Factor 0*a + n*a**2 + 0.
2*a**2/9
Suppose 0 = t - o - 1, 2*o - 2 = 5*t + 4*o. Suppose 28*l = 33*l. Factor t*z + 2/3*z**3 + l + 2/3*z**2.
2*z**2*(z + 1)/3
Let i(y) be the second derivative of -3*y**5/100 - 3*y**4/5 - 24*y**3/5 - 96*y**2/5 - 4*y. Factor i(l).
-3*(l + 4)**3/5
Suppose 0 = 2*w - 4*b - 78 + 88, 5*w = -4*b + 31. Determine x, given that -1/5*x**2 + 3/5*x**w - 1/5*x**5 - 2/5*x + 0 + 1/5*x**4 = 0.
-1, 0, 1, 2
Let l(r) be the third derivative of 2/27*r**3 + 0*r - 5*r**2 - 1/30*r**5 - 5/108*r**4 + 1/108*r**6 + 0 + 1/135*r**7. Find q, given that l(q) = 0.
-1, 2/7, 1
Let x(l) be the third derivative of 2*l**2 + 1/5*l**5 + 0*l - l**3 + 0 + 7/12*l**4. Solve x(w) = 0 for w.
-3/2, 1/3
Factor -7/2*t**2 + 5/2 + t.
-(t - 1)*(7*t + 5)/2
Suppose 3*y = 3*c - 21, -16 = 2*y - 4*c + 8. Let n be 12/9 + y/(-3). Find h, given that 0*h**3 + 1/4*h**5 + 1/2*h**n + 0 - 1/4*h - 1/2*h**4 = 0.
-1, 0, 1
Suppose -4*w = -3*x - 1, -3*x = x + 3*w - 32. Let r = 2/127 + 240/889. Suppose -r*q**x + 0*q + 0*q**3 + 2/7*q**4 + 0*q**2 + 0 = 0. What is q?
0, 1
Let q(u) be the third derivative of -u**5/120 - u**4/12 - u**3/3 - 2*u**2. Find d such that q(d) = 0.
-2
Let d(a) = -31*a**2 + 17*a + 8. Let b(w) = w**2 + w. Let y(s) = -5*b(s) + d(s). Determine q, given that y(q) = 0.
-1/3, 2/3
Let r be (3 - 2) + (-8 - 0). Let m = r - -10. Solve -m*i**2 - 2*i + 2*i**3 - i**2 + 4*i = 0 for i.
0, 1
Let s(c) be the first derivative of 0*c**3 + 0*c + 1/2*c**4 + 4/15*c**5 + 3 + 0*c**2 + 1/27*c**6. Factor s(q).
2*q**3*(q + 3