 0 + 0*r - 6/7*r**4 = 0.
-1, 0
Let j = -4424/15 - -295. Let h(o) be the second derivative of -3*o + 0*o**2 + 1/5*o**5 - j*o**6 - 1/6*o**4 + 0*o**3 + 0. Solve h(p) = 0.
0, 1
Let i(k) be the first derivative of -4*k**5/5 - 88*k**4 - 116*k**3 - 105. Find g such that i(g) = 0.
-87, -1, 0
Let c(g) be the second derivative of 5*g**7/42 - 14*g**6/3 + 73*g**5 - 560*g**4 + 1920*g**3 - 12*g + 3. Suppose c(u) = 0. Calculate u.
0, 6, 8
Let i be 68/153 - (-262)/18. Let c be ((-70)/i)/(-7)*3. Factor -14/5*t**c + 4/5 + 2*t.
-2*(t - 1)*(7*t + 2)/5
Let w(l) be the first derivative of l**3/2 - 9*l**2/2 - 24*l - 49. Factor w(t).
3*(t - 8)*(t + 2)/2
Let f(i) be the second derivative of -i**5/4 + 35*i**4/12 + 85*i**3/6 + 45*i**2/2 + 187*i - 1. Factor f(a).
-5*(a - 9)*(a + 1)**2
Let s be (-5 - -4) + (-867*1)/(-3). Suppose 0 = -283*t + s*t. Factor -8/11*q**3 + 32/11 + t*q**2 + 32/11*q - 2/11*q**4.
-2*(q - 2)*(q + 2)**3/11
Suppose 0*l = 5*l + 10. Let h(s) = -s**4 + 1. Let g(b) = 1 - 7*b**4 - b + 2 + 2*b - 3*b**3 + 2. Let d(o) = l*g(o) + 10*h(o). Factor d(q).
2*q*(q + 1)**2*(2*q - 1)
Factor 225/2*h - 10125/4 - 5/4*h**2.
-5*(h - 45)**2/4
Let t(x) be the first derivative of 2/21*x**3 - 2/5*x**5 + 1/7*x**4 + 0*x**2 + 0*x + 4/21*x**6 + 1. Factor t(p).
2*p**2*(p - 1)**2*(4*p + 1)/7
Let r(s) be the second derivative of 0*s**3 + 0*s**4 + 2*s + 0*s**5 + 1/60*s**6 + 0 - 1/2*s**2. Let g(o) be the first derivative of r(o). Factor g(b).
2*b**3
Let f(t) be the first derivative of 7 + 7/2*t**2 + 0*t - 5/12*t**3 - 1/48*t**5 - 5/32*t**4. Let q(j) be the second derivative of f(j). Factor q(v).
-5*(v + 1)*(v + 2)/4
Let -3*s**3 + 3/2*s**5 + 0 + 0*s**4 + 3/2*s + 0*s**2 = 0. What is s?
-1, 0, 1
Let h(v) = -v**2 - 19*v - 68. Let w be h(-5). Let b(q) be the second derivative of -5*q + 1/15*q**6 + 0 + 2/5*q**5 - 4/3*q**3 - 4*q**w + 1/2*q**4. Factor b(o).
2*(o - 1)*(o + 1)*(o + 2)**2
Let l = -29 + 14. Let k = l + 25. Let u(m) = -2*m**3 + m**2 - 7*m. Let d(n) = n**2 - n. Let a(x) = k*d(x) - 2*u(x). Find h such that a(h) = 0.
-1, 0
Let f(l) = -80*l**2 + 86. Let n(j) = -j**3 + j**2 + j + 2. Let g(r) = f(r) - 2*n(r). Factor g(z).
2*(z - 41)*(z - 1)*(z + 1)
Factor 968/5 - 16*a**2 + 4/5*a**3 + 308/5*a.
4*(a - 11)**2*(a + 2)/5
Let t = 31284 + -31282. Factor -50/11*y**4 - 32/11 + 240/11*y**3 - 368/11*y**t + 192/11*y.
-2*(y - 2)**2*(5*y - 2)**2/11
Solve 31*b**2 - 35*b**2 - 21*b + b = 0.
-5, 0
Let r be 0 + 34 + 18/(-12 - -6). Factor -20 + 54*s + 45*s**2 + 57*s - r*s.
5*(s + 2)*(9*s - 2)
Suppose -3*f + 2*s = -2, -2*f - f - 5*s = -16. Let g(y) be the first derivative of 4/9*y**3 - 2*y**f + y**4 - 4/3*y + 11. Factor g(p).
4*(p - 1)*(p + 1)*(3*p + 1)/3
Let h = -741/2 - -372. Suppose -2*d = -0*d - 4. Suppose h*f**d + 1/2 + 2*f = 0. What is f?
-1, -1/3
Let y(h) = 8*h**5 + 13*h**4 - 23*h**3 - 10*h**2 + 18*h - 3. Let w(f) = -f**5 - f**4 + f**3 - f + 1. Let r(i) = 3*w(i) + y(i). Factor r(v).
5*v*(v - 1)**2*(v + 1)*(v + 3)
Let s = -12 - -14. Suppose 5*b + 6 = 2*q + 20, 0 = 3*q + 5*b - 29. Factor -q*n - 1 - n**s - 2 - n.
-(n + 1)*(n + 3)
Let f be (2*(-1)/2)/(-3). Suppose -51 = 5*i - 88 - 88. Determine z, given that -5*z**2 - 125/3 + i*z + f*z**3 = 0.
5
Solve 64/5 + 2/5*b**2 + 36/5*b = 0.
-16, -2
Let d(q) = -4*q - 44. Let y be d(-11). Let a = 375 + -372. Factor 0*j + y*j**2 + 1/7*j**4 + 0 - 3/7*j**a.
j**3*(j - 3)/7
Let y(w) be the third derivative of 0 + 1/60*w**6 + 11/360*w**5 + 0*w + 1/72*w**4 + 0*w**3 - 7*w**2. Factor y(u).
u*(3*u + 2)*(4*u + 1)/6
Let v(i) be the second derivative of -i**5/4 - 5*i**4/12 + 5*i**3 + 4*i - 11. Solve v(w) = 0 for w.
-3, 0, 2
Suppose -166 = -11*d - 45. Let j be -4 - 4*d/(-10). Factor -1/5*u**2 - 1/5 + j*u.
-(u - 1)**2/5
Let z(c) be the third derivative of -1/8*c**4 + 1/10*c**3 + 0 - 16*c**2 + 7/100*c**5 + 0*c - 3/200*c**6. Suppose z(w) = 0. Calculate w.
1/3, 1
Let m(q) be the third derivative of 0*q - 9*q**2 - 1/735*q**7 + 1/140*q**6 + 0 + 0*q**3 + 1/84*q**4 - 1/70*q**5. Factor m(p).
-2*p*(p - 1)**3/7
Let w(i) be the second derivative of -4/3*i**3 - 10*i + 2*i**2 + 0 + 1/3*i**4. Factor w(a).
4*(a - 1)**2
Let v be 4 + -1 + 0 - 0. Factor -39*s**3 - 34*s**v + 63*s**2 - 74*s**3 + 12 + 30*s + 42*s.
-3*(s - 1)*(7*s + 2)**2
Let v(t) be the second derivative of t**4/3 - 20*t**3 + 112*t**2 - 20*t + 8. Factor v(b).
4*(b - 28)*(b - 2)
Let o be (-24 + 25)/((-1)/(-2)). Let -4*y + 8/3 - 16*y**o - 28/3*y**3 = 0. What is y?
-1, 2/7
Suppose -2*t = 16 - 20. Suppose -7*l**3 - 2 + 5*l + t*l**2 + l + 9*l**3 - 8*l**2 = 0. Calculate l.
1
Determine y so that -40*y**4 - 2*y - 4*y**5 + 32*y**4 + 8*y**2 - 10*y + 0*y + 16*y**3 = 0.
-3, -1, 0, 1
Let p(b) = b**3 + 61*b**2 - 145*b - 1193. Let g be p(-63). Factor -1/3*y**g + 2/3*y + 0 + 1/3*y**2 - 2/3*y**3.
-y*(y - 1)*(y + 1)*(y + 2)/3
Let y(f) be the third derivative of f**6/24 - 5*f**5/12 - 20*f**4/3 - 30*f**3 - 43*f**2. Suppose y(r) = 0. What is r?
-2, 9
Suppose -5*j - 5 = y - j, 0 = -2*y + 4*j + 14. Solve -1 + 15*a**2 - 2*a**2 - 34*a**2 + 10*a**y + 12*a = 0 for a.
1/10, 1
Let f(k) = -9*k**2 - 252*k - 3376. Let l(d) = -10*d**2 - 250*d - 3375. Let a(y) = 5*f(y) - 4*l(y). Find j such that a(j) = 0.
-26
Let i(c) = 2*c**4 + 2*c**3 + 2*c**2 + c. Let g(m) = m**4 - 2*m**3 - m**2 + m. Let w(h) = -2*g(h) + 2*i(h). Determine v so that w(v) = 0.
-3, -1, 0
Let k(b) = -172*b - 686. Let v be k(-4). Determine w so that -v*w + 2/3*w**2 + 4/3 = 0.
1, 2
Let r(s) be the third derivative of 0 + 4/3*s**3 - 34*s**2 + 1/15*s**5 + 1/2*s**4 + 0*s. Factor r(j).
4*(j + 1)*(j + 2)
Let z = 307 + -450. Let n = z + 143. Factor -2/3*d**4 + 2/3*d**2 - 1/3*d**3 + n + 1/3*d**5 + 0*d.
d**2*(d - 2)*(d - 1)*(d + 1)/3
Factor 15/7*i**2 + 8/7*i + 0 + 6/7*i**3 - 1/7*i**4.
-i*(i - 8)*(i + 1)**2/7
Suppose -3*f - 17 = -32, 0 = 5*t + 5*f - 35. What is r in 1/2*r**2 + 3/2*r - t = 0?
-4, 1
Let p = 4806 - 24021/5. What is t in -9/5*t - 3/5*t**3 + 3/5 + p*t**2 = 0?
1
Factor -6*r + 0*r - 5*r - 5*r + 12 + 17*r - r**2.
-(r - 4)*(r + 3)
Let r(w) = 2*w**2 + 14*w + 25. Let h be r(-7). Factor -2 - 5*l**2 + h*l + 7 - 5.
-5*l*(l - 5)
Let f be (9/(79 - 7))/(10/56). Let b(v) be the third derivative of -2*v**4 + f*v**5 - v**2 + 0 + 0*v + 49/60*v**6 + 4/3*v**3. Find o, given that b(o) = 0.
-1, 2/7
Let z(n) be the first derivative of 10/39*n**3 - 1/26*n**4 + 0*n - 3/13*n**2 - 17 - 2/65*n**5. Factor z(o).
-2*o*(o - 1)**2*(o + 3)/13
Let b(n) be the third derivative of n**5/12 + 35*n**4/24 + 25*n**3/3 - 33*n**2. Factor b(u).
5*(u + 2)*(u + 5)
Let o be (60/2)/(-1 + (-21)/(-12)). Let a = -157/4 + o. Determine q, given that -3/4*q**3 + 0*q - 1/4*q**5 + a*q**4 + 1/4*q**2 + 0 = 0.
0, 1
Let z(g) be the third derivative of g**7/70 - g**6/20 - g**5/20 + g**4/4 + 6*g**2 + 4*g. Find c such that z(c) = 0.
-1, 0, 1, 2
Find t, given that -48/5*t + 0 - 18/5*t**3 + 68/5*t**2 - 2/5*t**4 = 0.
-12, 0, 1, 2
Let s(g) be the second derivative of g**4/6 + 13*g**3/9 - 10*g**2/3 - 8*g - 6. Suppose s(p) = 0. What is p?
-5, 2/3
Suppose 0 = 12*i - 33 + 9. Factor 70*c**3 - 70*c + 245 - 138*c**2 - 5*c**4 + 20*c**2 - 122*c**i.
-5*(c - 7)**2*(c - 1)*(c + 1)
Let i(w) be the third derivative of 0*w**3 + 2/39*w**4 + 41*w**2 + 3/728*w**8 - 2/65*w**5 + 0 + 1/91*w**7 + 0*w - 7/390*w**6. Solve i(v) = 0 for v.
-2, -1, 0, 2/3
Let b(c) be the first derivative of c**5 - 50*c**3/3 + 45*c - 171. What is o in b(o) = 0?
-3, -1, 1, 3
Let r(g) be the third derivative of -g**4/4 - 13*g**3/6 - 4*g**2. Let i be r(-6). Factor 7*p - 6*p + 18 + 8*p**2 + i*p.
2*(2*p + 3)**2
Let t = 51 + -555/11. Suppose t*f**2 - 6/11*f - 2/11*f**3 + 2/11 = 0. What is f?
1
Let k = 2459/6 - 409. Let m(p) be the first derivative of -1/10*p**5 + 1 + 0*p - k*p**3 - 1/2*p**2 - 1/2*p**4. Suppose m(u) = 0. Calculate u.
-2, -1, 0
Suppose 0 = 6*w - 2*v - 16, -4*w = w + 5*v. Let o(d) be the first derivative of w*d**2 - 3 + 0*d - 2/3*d**3. Factor o(b).
-2*b*(b - 2)
Let h be (-2)/(-4) + (-126)/(-12). Suppose 5*p + 5*r = 5, -2*r - h = -5*p + 15. Solve -p*c**2 - 2*c**2 - c**2 - 3*c**3 + c**2 = 0 for c.
-2, 0
Let q(j) = 2*j**2 - 18*j + 17. Let k be q(10). Let z = k + -37. Solve -2/3*u**2 + 1/3 + 1/3*u**4 + 0*u**3 + z*u = 0 for u.
-1, 1
Let b(j) be the third derivative of j**9/332640 + j**8/55440 + j**5/6 + 19*j**2. Let n(a) be the third derivative of b(a). Let n(q) = 0. What is q?
-2, 0
Suppose 2*i + 31 = 21