(h - 1)/3
Solve -8/5*d**4 - 9/5*d - 24/5*d**2 - 22/5*d**3 + 0 - 1/5*d**5 = 0.
-3, -1, 0
Let h = -1801 - -1801. Let q(r) be the third derivative of 0 - 1/20*r**6 + 1/35*r**7 + 0*r**3 + 11*r**2 + h*r + 0*r**4 - 1/168*r**8 + 1/30*r**5. Factor q(v).
-2*v**2*(v - 1)**3
Let b(q) = -q**3 - 6*q + 2. Let x be b(0). Let r be ((-6)/10)/((-2)/10). Factor -15/4*j**r + 3/4*j**5 - 3 + 6*j + 3/4*j**4 - 3/4*j**x.
3*(j - 1)**3*(j + 2)**2/4
Let n(y) be the first derivative of y**7/1680 - y**6/240 - y**5/60 + 2*y**3 + 19. Let g(s) be the third derivative of n(s). Let g(h) = 0. What is h?
-1, 0, 4
Let q be ((12/9)/2)/(25/3495). Let x = 94 - q. Factor 0 + 4/5*a**3 + 0*a - 4/5*a**4 - 4/5*a**5 + x*a**2.
-4*a**2*(a - 1)*(a + 1)**2/5
Let p(n) be the first derivative of 2*n**3/3 + 492*n**2 + 121032*n - 453. Factor p(u).
2*(u + 246)**2
Let m(x) be the third derivative of -1/840*x**7 + 1/240*x**5 - 20*x**2 + 0*x**3 - 1/160*x**6 + 0 + 1/48*x**4 + 0*x + 1/1344*x**8. Factor m(r).
r*(r - 2)*(r - 1)*(r + 1)**2/4
Solve 186 + 30 + 41585*a**3 + 4395*a**3 - 6732*a**2 - 73542*a**4 + 6080*a**4 - 1750*a**4 - 972*a = 0 for a.
-2/13, 3/11
Factor -12/5 + 16/5*v**3 + 8/5*v**2 - 16/5*v + 4/5*v**4.
4*(v - 1)*(v + 1)**2*(v + 3)/5
Let v(j) = 9*j**2 + 29*j + 36. Suppose -2*s + w + 1 = 0, -4 = 4*s + 4*w - 8*w. Let y(c) = 3*c**2 + 10*c + 12. Let r(h) = s*v(h) - 7*y(h). Factor r(b).
-3*(b + 2)**2
Let u(j) be the third derivative of -j**7/1575 - j**6/300 + j**5/150 + 11*j**4/180 + 2*j**3/15 + j**2 - 27*j. Solve u(a) = 0 for a.
-3, -1, 2
Let v(x) = -12*x**2 + 3*x - 3. Let p(b) = -b + 11. Let k = 1 + 11. Let o be p(k). Let y(f) = f**2 + f. Let n(h) = o*v(h) - 6*y(h). Find j, given that n(j) = 0.
1/2, 1
Let j(u) = u - 14. Let b be j(18). Let m(q) = -q**2 + q - 1. Let d(k) = 6*k - 6. Let g(y) = b*m(y) + 2*d(y). Factor g(s).
-4*(s - 2)**2
Let m(f) be the first derivative of 2/85*f**5 + 7/17*f**2 + 30 + 5/34*f**4 + 6/17*f**3 + 4/17*f. Let m(v) = 0. Calculate v.
-2, -1
Let k(h) = -6*h**3 - 177*h**2 - 2523*h + 3. Let f(r) = -7*r**3 - 178*r**2 - 2523*r + 4. Let n(l) = 3*f(l) - 4*k(l). Find d such that n(d) = 0.
-29, 0
Let k(w) = w**2 - 4*w - 28. Let d be k(8). Let t(j) be the second derivative of 1/60*j**4 + 1/15*j**3 - d*j + 0 + 0*j**2. Factor t(y).
y*(y + 2)/5
Let m(x) be the first derivative of -1/33*x**6 - 6/55*x**5 + 0*x + 0*x**2 - 3/22*x**4 - 2/33*x**3 - 21. Factor m(h).
-2*h**2*(h + 1)**3/11
Let v = -20493/8 + 138611/56. Let h = v + 87. Let 1/7 + h*p**2 + 4/7*p = 0. What is p?
-1/2
Let a(w) be the first derivative of w**5/10 + w**4/2 - 22*w**3/3 - 24*w**2 + 288*w - 111. Factor a(g).
(g - 4)**2*(g + 6)**2/2
Let h = -469 + 475. Let v(c) be the third derivative of -5/12*c**h + 0*c - 2*c**4 + 12*c**2 + 0 + 3/2*c**5 + 4/3*c**3. Let v(t) = 0. What is t?
2/5, 1
Suppose -y + 10 = -3*x, -5*x + 2 = -y + 4*y. Let 23*z**2 + 4*z - 7*z**2 + 4*z + 10*z**3 + 2*z**y = 0. Calculate z.
-2, -1, 0
Suppose 395*f**2 - 166*f**3 - 79*f**3 - 290*f - 6*f**5 + 65*f**4 + 80 + f**5 = 0. Calculate f.
1, 2, 8
Let q(o) be the first derivative of 0*o**2 + 13 + 0*o + 10/3*o**3 + o**5 - 15/4*o**4. Factor q(m).
5*m**2*(m - 2)*(m - 1)
Determine i, given that -17 + 157 + 27 + 48 + 10*i**2 - 435*i = 0.
1/2, 43
Let n(y) = 28*y**5 + 7*y**4 - 40*y**3 - 5*y**2 + 10*y. Let r(z) = 27*z**5 + 8*z**4 - 40*z**3 - 5*z**2 + 10*z. Let g(f) = -3*n(f) + 2*r(f). Solve g(l) = 0.
-1, -2/3, 0, 1/2, 1
Let m = 74 + -57. Let k be 3 - (m/(-7))/(-1). Suppose -k*x**3 - 4/7*x + 8/7*x**2 + 0 = 0. Calculate x.
0, 1
Let m(h) be the first derivative of h**7/70 + h**6/20 - h**4/4 - h**3/2 - 7*h**2/2 - 2. Let t(s) be the second derivative of m(s). Factor t(o).
3*(o - 1)*(o + 1)**3
Let b**5 - 3*b + 0*b + 77*b**2 - 6*b**4 - 36*b**2 - 35*b**2 + 2*b**5 = 0. What is b?
-1, 0, 1
Let b(l) = l**3 - 8*l**2 - 6*l. Let z(k) = k**2 + k. Let v(g) = -b(g) - 6*z(g). What is a in v(a) = 0?
0, 2
Let o(f) be the second derivative of 4*f**7/273 + 44*f**6/195 - 11*f**5/130 - 56*f**4/39 + 97*f**3/39 - 22*f**2/13 + 874*f. Suppose o(m) = 0. Calculate m.
-11, -2, 1/2, 1
Let d(k) be the second derivative of 1/4*k**4 - 3/2*k**2 + 0 + 3/4*k**3 + 1/28*k**7 + 0*k**6 + 3*k - 3/10*k**5. Factor d(a).
3*(a - 1)**3*(a + 1)*(a + 2)/2
What is j in 26*j**2 - 16*j - 54*j - 3627*j**3 - 18 + 3697*j**3 - 8*j**4 = 0?
-1, -1/4, 1, 9
Let v(s) be the third derivative of -s**7/105 + s**6/30 + 14*s**5/15 + 23*s**4/6 + 7*s**3 - 19*s**2. Suppose v(z) = 0. Calculate z.
-3, -1, 7
Let x be 2/4 - 2/20. Factor x*p**4 + 0 - 2/5*p**5 + 0*p + 0*p**2 + 0*p**3.
-2*p**4*(p - 1)/5
Let j = 22 + -18. Let l(m) be the first derivative of 6 - 2*m**2 + 2*m**j + 0*m**3 - 2/3*m**6 + 0*m + 0*m**5. Solve l(x) = 0 for x.
-1, 0, 1
Factor -4*p - 26/3*p**2 - 20/9*p**3 + 15 - 1/9*p**4.
-(p - 1)*(p + 3)**2*(p + 15)/9
Let c be (-12)/(-8) - (-2)/4. Solve 12*w + 2*w + 23 + c*w + 9 + 2*w**2 = 0.
-4
Factor -2*x**4 - 7*x**2 + 1390*x - 28*x**3 - 1414*x - 43*x**2.
-2*x*(x + 1)**2*(x + 12)
Let o be (-12)/(-102) + 7136/34. Let k = o + -205. Factor 686/5*h**k + 268/5*h**2 - 322/5*h**3 + 136/5*h + 16/5 - 784/5*h**4.
2*(h - 1)**2*(7*h + 2)**3/5
Let f be -8 + (-248)/(-18) + -4. Let s(n) be the second derivative of 0 + 4/3*n**2 - 10*n - 7/30*n**5 + f*n**3 + 5/18*n**4. Solve s(w) = 0 for w.
-1, -2/7, 2
Let u(t) be the second derivative of -5*t - 1/2*t**5 + 0*t**3 + 5/2*t**2 - 5/4*t**4 + 0. What is b in u(b) = 0?
-1, 1/2
Suppose 2*y - 35 = 3*x, -3*x = 4*y - 6 - 91. Let z be 28/399*(y/4 - 4). Solve z*b**2 + 4/19 - 6/19*b = 0.
1, 2
Let x(n) = 69*n**2 - 67*n - 17. Let a(w) = 34*w**2 - 34*w - 6. Let s(j) = -5*a(j) + 2*x(j). Factor s(v).
-4*(v - 1)*(8*v - 1)
Suppose -359 - 271 = 2*l. Let c be (2/(-6))/(7/l). Solve 243*x**2 + 149*x - 3 - 41*x + c = 0 for x.
-2/9
Let p = 341 + -341. Let o(v) be the second derivative of p - 8*v**3 - 7*v - 49/25*v**5 - 16/5*v**2 - 42/5*v**4. Solve o(c) = 0 for c.
-2, -2/7
Let a be (6/45)/(-3 + (-147)/(-35)). Let s(u) be the first derivative of -1/12*u**4 + 0*u + 0*u**2 - 5 + a*u**3. Factor s(q).
-q**2*(q - 1)/3
Let r = -5899 - -5899. Suppose r - 2/9*a**3 - 2*a + 4/3*a**2 = 0. What is a?
0, 3
Let h(n) be the first derivative of -n**5/25 + 2*n**3/15 - 29*n + 20. Let u(g) be the first derivative of h(g). Factor u(r).
-4*r*(r - 1)*(r + 1)/5
Let t(h) = h**3 + h**2 + 1. Let i(b) = 5*b**3 + 14*b - 6 + 15*b**2 + 25 + 4*b**3. Let x(c) = -2*i(c) + 22*t(c). Factor x(n).
4*(n - 4)*(n + 1)**2
Let j(h) be the second derivative of -h**7/84 + h**6/10 - 11*h**5/40 + h**4/12 + h**3 - 2*h**2 - 106*h. Factor j(g).
-(g - 2)**3*(g - 1)*(g + 1)/2
Let n(w) = 10*w**2 + 4*w + 10. Let y(j) = 0*j**2 + 0*j**2 + 2*j**2 - 15*j + 2 + 16*j. Let q(o) = 3*n(o) - 16*y(o). Factor q(c).
-2*(c + 1)**2
Let t(i) = i**2 + 7*i + 8. Let d(z) be the third derivative of z**3/6 + 19*z**2. Let v(h) = 2*d(h) - t(h). Factor v(y).
-(y + 1)*(y + 6)
Suppose 5*d + 5 = 30. Suppose d*q - 13 + 13 + 5*q**2 = 0. What is q?
-1, 0
Let o(i) be the third derivative of -18*i**2 + 3/40*i**6 + 1/84*i**8 + 0*i**3 - 1/24*i**4 - 1/60*i**5 - 11/210*i**7 + 0*i + 0. Determine f so that o(f) = 0.
-1/4, 0, 1
Let s(q) = -q**4 + 9*q**3 - 4*q**2 - 9*q + 8. Let u(x) = 3*x**4 - 26*x**3 + 13*x**2 + 26*x - 24. Let p(t) = -8*s(t) - 3*u(t). Let p(r) = 0. Calculate r.
-1, 1, 2, 4
What is b in 0*b + 3/5*b**4 - 11/10*b**3 + 3/5*b**2 + 0 - 1/10*b**5 = 0?
0, 1, 2, 3
Let n(i) be the second derivative of -i**7/77 - 5*i**6/11 - 57*i**5/11 - 215*i**4/11 - 35*i**3 - 33*i**2 + 13*i - 2. Determine k so that n(k) = 0.
-11, -1
Let b(m) be the third derivative of 0*m**4 + 9*m**2 + 1/35*m**7 + 0*m**3 + 1/20*m**6 + 0 + 1/168*m**8 + 0*m + 1/30*m**5. Solve b(v) = 0.
-1, 0
Let b(p) = 7*p**5 - 3*p**4 - 7*p**3 + 3*p - 6. Let i(q) = -q**5 + q**4 + q**3 - q + 2. Let w(a) = b(a) + 3*i(a). Factor w(m).
4*m**3*(m - 1)*(m + 1)
Suppose 0 = -3*d - 66 + 78. Let j(w) be the first derivative of 4/7*w - 2/21*w**3 + d - 1/7*w**2. Factor j(z).
-2*(z - 1)*(z + 2)/7
Factor 0 - 20/19*h + 42/19*h**2 + 2/19*h**4 - 24/19*h**3.
2*h*(h - 10)*(h - 1)**2/19
Let h(b) be the second derivative of -1/5*b**5 + 0 + 2/21*b**7 + 1/3*b**4 + 4*b + 0*b**3 - 2/15*b**6 + 0*b**2. Suppose h(u) = 0. Calculate u.
-1, 0, 1
Let k(z) be the third derivative of z**5/480 + 11*z**4/192 + 3*z**2 - 17*z. Factor k(v).
v*(v + 11)/8
Let l(f) be the third derivative of -f**5/15 + 19*f**