 0. What is q?
-1, 0
Let -4*g**2 + 500/3*g - 328/3 = 0. Calculate g.
2/3, 41
Let y = -52 + 54. Let b(g) be the first derivative of -4 + 3*g**y - 1/2*g**3 - 6*g. Suppose b(d) = 0. What is d?
2
Let t(l) be the third derivative of -l**6/360 + l**5/30 + 5*l**4/24 - l**3/3 + 10*l**2. Let s(u) be the first derivative of t(u). Factor s(x).
-(x - 5)*(x + 1)
Factor 81/4*s**2 - 2187/8*s - 3/8*s**3 + 0.
-3*s*(s - 27)**2/8
Suppose s - o + 322 = 0, 0 = -3*s + o - 377 - 597. Let v = 2286/7 + s. Let -v - 2/7*f + 2/7*f**2 = 0. Calculate f.
-1, 2
Suppose -t = d, 7 = 5*t + 22. Let -2/5*u**d - 4/5 - 8/5*u**2 - 2*u = 0. Calculate u.
-2, -1
Let y(z) be the first derivative of 27/2*z**2 + 3*z**3 + 2*z + 1/4*z**4 - 11. Let u(c) be the first derivative of y(c). Factor u(i).
3*(i + 3)**2
Let o = 2267/4518 - 4/2259. Suppose 17*g**4 + 65/4*g**2 + o + 19/4*g + 25*g**3 + 4*g**5 = 0. Calculate g.
-2, -1, -1/2, -1/4
Let u(p) be the first derivative of 0*p + 6*p**2 + 3 + 1/15*p**5 + 0*p**3 - 1/2*p**4. Let f(k) be the second derivative of u(k). Suppose f(s) = 0. What is s?
0, 3
Let t be (5 + 597/(-120))/(9/12). Let s(p) be the first derivative of 0*p + t*p**5 + 7 + 1/12*p**2 + 1/8*p**4 + 1/6*p**3. Factor s(b).
b*(b + 1)**3/6
Let w(o) = -o**2 + 4. Let a(n) be the first derivative of -2*n**3/3 + 9*n - 4. Let u(s) = 3*a(s) - 7*w(s). Factor u(k).
(k - 1)*(k + 1)
Let q(r) be the third derivative of -r**9/72576 - 11*r**8/60480 - r**7/3780 + 11*r**5/30 + 3*r**2. Let f(s) be the third derivative of q(s). Factor f(d).
-d*(d + 4)*(5*d + 2)/6
Let d be (-3)/(-9)*7/(56/16). Let z(v) be the second derivative of 1/21*v**7 - 3/10*v**5 + 4/3*v**3 + 2/15*v**6 - d*v**4 + 0*v**2 + 7*v + 0. Factor z(t).
2*t*(t - 1)**2*(t + 2)**2
Suppose 0 = 5*w - 9 - 1. Suppose -w*j + 12 = -j. What is k in -52*k**2 - j + 55*k**2 + 3 - 6*k = 0?
-1, 3
Let g(l) be the third derivative of -l**6/120 - l**5/60 + l**4/12 - 146*l**2. Factor g(f).
-f*(f - 1)*(f + 2)
Let k(o) = o**2 - 7*o + 17. Let r be k(4). Suppose 3 = 2*n - r. Factor 0*u**2 - 1/2*u**5 + 0*u**n + u**3 + 0 - 1/2*u.
-u*(u - 1)**2*(u + 1)**2/2
Let p be (-19 - -27)*((-2)/12)/(34/(-51)). Factor -1/2*z**3 + 0 + z**p + 0*z - 1/2*z**4.
-z**2*(z - 1)*(z + 2)/2
Suppose -22*q = -14*q + 376. Let l = q - -49. Factor 0*r**l - 1/2 + 1/2*r**4 + r - r**3.
(r - 1)**3*(r + 1)/2
Solve 24 + 290*k**3 - 16*k - 2*k**2 - 146*k**3 - 142*k**3 = 0.
-3, 2
Suppose 118*k - 115*k - 6 = 0. Determine z, given that z**3 - k*z**3 + 6*z**2 - 3*z**2 - 2*z = 0.
0, 1, 2
Find d, given that 161*d**2 + 464*d**2 - 453*d + 15 + 653*d + 1 = 0.
-4/25
Let i = -1681/7 - -8433/35. Let -76/5*t**4 + 8/5 + 124/5*t**3 + 16/5*t**5 + i*t - 76/5*t**2 = 0. What is t?
-1/4, 1, 2
Suppose 0 = 207*w - 229*w + 44. Let k(j) be the second derivative of -1/21*j**3 + 0*j**w + 0 + j - 1/70*j**5 - 1/21*j**4. Factor k(o).
-2*o*(o + 1)**2/7
Suppose -75*h**2 + 10*h**4 + 1474*h**3 - 36*h - 1518*h**3 - 15*h**2 = 0. Calculate h.
-1, -3/5, 0, 6
Let p(j) be the first derivative of -j**4/20 + 7*j**3/15 - 2*j**2/5 - 12*j/5 - 558. Factor p(f).
-(f - 6)*(f - 2)*(f + 1)/5
Let b(q) = q + 16. Let j be b(-6). Let p(i) = i**3 - 14*i**2 + 12*i + 18. Let x be p(13). What is w in -x + 10 + w**2 + j*w + 1 + 19 = 0?
-5
What is o in -3/8*o + 9/4 - 3/8*o**2 = 0?
-3, 2
Let j(l) = l**2 + 12*l + 34. Let v be j(-8). Factor 3 + 2 - 22*z**v - 36*z - 17*z**2 - 18*z**3 - 17 - 3*z**4.
-3*(z + 1)**2*(z + 2)**2
Let o(n) be the second derivative of 7*n**5/20 - 3*n**4/4 + n**3/3 - 3*n - 12. Suppose o(u) = 0. What is u?
0, 2/7, 1
Suppose 5*z + 3*q + 87 = 0, -2*q - 54 = 4*z + 14. Let k(u) = 4*u**2 - 23*u + 3. Let j(a) = -a**2 - 1. Let s(t) = z*j(t) + 5*k(t). Factor s(h).
5*(h - 3)*(7*h - 2)
Suppose 0 = 98*y - 103*y + 15. Let u(z) be the third derivative of 1/84*z**4 + 0 + 0*z**y + z**2 - 1/210*z**5 + 0*z. Factor u(f).
-2*f*(f - 1)/7
Let w(v) = 2*v - 8. Let l be w(7). Factor -2*j**2 + 15 - 10*j - l*j**2 + 5*j**2 - 2*j**2.
-5*(j - 1)*(j + 3)
Let a = 58 - 54. Find c such that 10*c**3 - 16*c**2 + 363*c**a + c**2 - 358*c**4 = 0.
-3, 0, 1
Factor -26/11*f - 28/11 + 2/11*f**2.
2*(f - 14)*(f + 1)/11
Let f(o) = -9*o**4 + 2*o**3 - 2*o**2 - o. Let c(q) = -2*q**4 + q**3 - q**2. Let g(k) = 10*c(k) - 2*f(k). Solve g(h) = 0.
0, 1
Let -3/2*s**3 - 15/2*s**2 - 54 + 48*s = 0. Calculate s.
-9, 2
Let g = -3388/3 + 1134. Suppose 0*u + 10/3*u**3 + g*u**4 + 0 - 4/3*u**2 = 0. What is u?
-1, 0, 2/7
Let v(t) be the third derivative of -t**7/14 - 7*t**6/12 - 7*t**5/12 + 5*t**4/6 + 10*t**2 - 1. Factor v(q).
-5*q*(q + 1)*(q + 4)*(3*q - 1)
Suppose 3*j - 2*j = 1. Let p(c) = -c**4 - c**5 + 0*c**4 + 0*c**4. Let k(w) = w**5 - 4*w**4 - 13*w**3 - 12*w**2 - 4*w. Let f(i) = j*k(i) + 2*p(i). Factor f(l).
-l*(l + 1)**2*(l + 2)**2
Let j(b) be the first derivative of -5/3*b**3 - 15*b - 25/2*b**2 - 6 + 5/4*b**4. Determine y so that j(y) = 0.
-1, 3
Factor -2/11*a**3 + 0 + 8/11*a + 0*a**2.
-2*a*(a - 2)*(a + 2)/11
Suppose -14*j + 15 = -188 - 7. Let -75 - 3/4*p**2 + j*p = 0. Calculate p.
10
Let d be 2 + 32/(-24)*(-6)/4. Let w(z) be the second derivative of 0*z**3 + 0 - 2/5*z**2 + 0*z**5 - d*z + 2/15*z**4 - 2/75*z**6. Solve w(m) = 0.
-1, 1
Let d(t) be the first derivative of t**6/50 - 9*t**5/50 + t**4/20 + 12*t**3/5 + 24*t**2/5 + 8*t + 13. Let s(j) be the first derivative of d(j). Factor s(g).
3*(g - 4)**2*(g + 1)**2/5
Let d(h) be the first derivative of h**3/9 - 19*h**2/3 - 13*h - 141. Determine j so that d(j) = 0.
-1, 39
Let l = 805/12 - 775/12. Factor -3/2*a**3 - l*a + 7/2*a**2 + 1/2.
-(a - 1)**2*(3*a - 1)/2
Suppose 0 = -2*h - 5 - 5. Let a be h*6/(-45)*3. Factor 1/2*s**3 - 4 - a*s + s**2.
(s - 2)*(s + 2)**2/2
Let x(i) be the first derivative of -i**5/5 + i**4/4 - 11. Suppose x(k) = 0. What is k?
0, 1
Let j(u) be the second derivative of 1/3*u**3 - 5/2*u**2 + 17*u - 1/60*u**4 + 0. Factor j(t).
-(t - 5)**2/5
Suppose 157*d + 172 = 643. Factor 7/4*b**4 + 4*b + 1/4*b**5 + 25/4*b**2 + 19/4*b**d + 1.
(b + 1)**3*(b + 2)**2/4
Let h(y) be the first derivative of -1/2*y**3 + 3/10*y**5 - 7 + 3/2*y**2 - 3/4*y**4 + 0*y. Factor h(s).
3*s*(s - 2)*(s - 1)*(s + 1)/2
Let m(b) be the first derivative of b**2 + 11 + 2/3*b**3 - 4*b. Factor m(g).
2*(g - 1)*(g + 2)
What is l in 236/9*l + 0 - 8/9*l**2 = 0?
0, 59/2
Let s = 1/1594 + 397/2391. Let 0 + 1/3*m + 1/2*m**4 - 1/6*m**5 - s*m**3 - 1/2*m**2 = 0. Calculate m.
-1, 0, 1, 2
Let x(s) be the first derivative of -s**4/28 - s**3/21 + 6*s**2/7 - 111. Let x(k) = 0. What is k?
-4, 0, 3
Let v(h) be the second derivative of h**7/42 + h**6/30 - 3*h**5/2 + 37*h**4/6 - 67*h**3/6 + 21*h**2/2 - 110*h. Factor v(i).
(i - 3)*(i - 1)**3*(i + 7)
Let b(p) = 16*p**5 - 19*p**3 + 7*p**2 + 13*p - 17. Let j(r) = 23*r**5 - 29*r**3 + 11*r**2 + 20*r - 25. Let s(o) = -7*b(o) + 5*j(o). Factor s(a).
3*(a - 1)**3*(a + 1)*(a + 2)
Solve 1/2*s + 3/2*s**2 - 1/2*s**3 - 3/2 = 0.
-1, 1, 3
Let m(u) be the third derivative of -u**6/480 - u**5/48 + u**4/96 + 5*u**3/24 + 13*u**2 + 2. Factor m(x).
-(x - 1)*(x + 1)*(x + 5)/4
Let h be 2/((-6)/72*-8). Let v(t) be the first derivative of 3 - 3/2*t**2 + 2*t + 1/3*t**h. Find a such that v(a) = 0.
1, 2
Let r be (-1)/(-5) - 38/(-10). Let y(k) be the first derivative of 0*k**r + 0*k**2 + 0*k**3 - 1 + 3/5*k**5 + 0*k + 1/2*k**6. Factor y(v).
3*v**4*(v + 1)
Let k(f) = 2*f**2 - 6. Let t be k(-2). Solve -2*r**3 - 4*r**2 + t + 2*r**5 + 2*r - 6*r**3 + 2*r**4 + 4*r**3 = 0 for r.
-1, 1
Let b(o) be the first derivative of -1/5*o**2 - 12 + 2/15*o**3 - 4/5*o. Suppose b(z) = 0. What is z?
-1, 2
Let j be (-12)/5*(-22)/(8 + 58). Factor -8/5*b**3 + 0*b**4 + 0 + j*b + 0*b**2 + 4/5*b**5.
4*b*(b - 1)**2*(b + 1)**2/5
Let h(k) = -k**3 - 21*k**2 - 30*k - 1. Let z(m) be the first derivative of -m**4/4 - 11*m**3/3 - 15*m**2/2 - m - 25. Let u(t) = 4*h(t) - 9*z(t). Factor u(y).
5*(y + 1)**3
Let t = -4348/5 + 870. Let -2/5*r**2 + 0*r - 4/5*r**3 - t*r**4 + 0 = 0. Calculate r.
-1, 0
Suppose 0 - 2/3*j**2 - 2/3*j**5 + 2/3*j**3 + 2/3*j**4 + 0*j = 0. Calculate j.
-1, 0, 1
Let i(s) be the third derivative of s**6/120 + s**5/15 - 25*s**4/24 - 14*s**3/3 - 130*s**2. Find m such that i(m) = 0.
-7, -1, 4
Suppose 27*y = y + 9646. Let w = 1115/3 - y. Factor 8/3 + 0*u - 2*u**2 - w*u**3.
-2*(u - 1)*(u + 2)**2/3
Suppose 25*w = 29*w - 68. Factor 5*d**3 + d - 36*d + 0*d + w + 13.
5*(d - 2)*(d - 1)*(d + 3)
Suppose 73*w - 6