 - 2*h - 4 = -17, 4*p - x = 3*h. Let 4*d**3 - 2*d**p + 5*d**2 + 2*d + 3*d**2 - 8*d**4 - 4*d**5 = 0. What is d?
-1, -1/3, 0, 1
Let n(u) be the first derivative of -7*u**4 - 256*u**3/15 - 46*u**2/5 + 24*u/5 + 1083. Factor n(h).
-4*(h + 1)**2*(35*h - 6)/5
Let w(x) be the third derivative of x**7/210 + x**6/30 - x**5/12 - 3*x**4/2 - 6*x**3 - 4*x**2 + 4. Solve w(a) = 0.
-3, -2, 3
Let o(q) be the third derivative of q**5/270 - 11*q**4/36 + 32*q**3/27 + 12*q**2 + 2*q. Solve o(s) = 0 for s.
1, 32
Solve 4/21*m**3 - 2/21*m**5 - 2/21*m**4 + 0 + 0*m**2 + 0*m = 0.
-2, 0, 1
Let z(k) be the third derivative of k**5/210 - 9*k**4/28 - 2*k**2 - 9. Solve z(p) = 0.
0, 27
Suppose 5*o = -2*z + 21 + 3, 6 = 5*z - o. Let p(q) be the first derivative of -12*q**3 - 45/4*q**4 + 0*q - 4 - 12/5*q**5 + 6*q**z. Factor p(v).
-3*v*(v + 2)**2*(4*v - 1)
Let h(t) be the third derivative of -3*t**7/70 + t**6 - 38*t**5/5 + 12*t**4 + 72*t**3 - 10*t**2. Suppose h(w) = 0. Calculate w.
-2/3, 2, 6
Suppose 33 = -d - 2*v + 40, 5*v = 2*d + 4. Let s(q) be the second derivative of -1/27*q**d + 0*q**2 - 1/54*q**4 + 0 - 3*q. Factor s(m).
-2*m*(m + 1)/9
Let q(l) be the second derivative of -2*l**6/345 - 3*l**5/230 - l**4/138 - 54*l. Factor q(y).
-2*y**2*(y + 1)*(2*y + 1)/23
Determine h so that 45*h + 0 - 3/8*h**2 = 0.
0, 120
Let h(b) = -2*b**3 + 8*b**2 - 2*b - 18. Let t(y) = -1. Let p(d) = -h(d) + 6*t(d). Solve p(z) = 0.
-1, 2, 3
Let a(c) be the third derivative of 0 + 1/10*c**4 - 10*c**2 + 2/5*c**3 + 1/100*c**5 + 0*c. Factor a(n).
3*(n + 2)**2/5
Suppose -4*l - 10 = g + 29, 3*g = 15. Let h = l - -15. Determine f so that -12*f**3 + 6*f**2 + 2*f**2 - h*f**5 - 11*f**2 - f**2 - 12*f**4 = 0.
-1, 0
Let t(k) be the first derivative of k**8/840 + k**7/210 + 14*k**3/3 - 23. Let i(p) be the third derivative of t(p). Solve i(y) = 0 for y.
-2, 0
Find t such that -2*t**2 - 743*t - 1682 + 1411*t - 784*t = 0.
-29
Let q(j) be the second derivative of -2*j**7/63 + 2*j**6/15 + 2*j**5/3 - 21*j + 2. Factor q(g).
-4*g**3*(g - 5)*(g + 2)/3
Let w(k) be the third derivative of -2*k**6/5 + 22*k**5/5 + 47*k**4/8 + 3*k**3 + 160*k**2. Suppose w(a) = 0. Calculate a.
-1/4, 6
Let w(z) be the first derivative of 2*z**5/105 - z**4/42 - 16*z**3/63 + 4*z**2/7 - 368. Factor w(i).
2*i*(i - 2)**2*(i + 3)/21
Let l(z) = 22*z**4 - 10*z**2 + 20*z + 8. Let s(i) = -14*i**4 + 7*i**2 - 13*i - 5. Let b(g) = 5*l(g) + 8*s(g). Factor b(a).
-2*a*(a - 1)**2*(a + 2)
Let h(u) = -u**3 + u**2 + u - 1. Let g be (10 + -11)/(2/(-14)). Let z(x) = 2*x**5 - 3 - 6 + 2*x**4 + 2*x + g - 4*x**3. Let k(m) = -2*h(m) + z(m). Factor k(v).
2*v**2*(v - 1)*(v + 1)**2
Let g be (-24 + 23)*(-5 + 1). Let l(s) be the first derivative of 4/3*s**3 - 2*s**2 + 14 + s**4 - g*s. Factor l(h).
4*(h - 1)*(h + 1)**2
Let v(k) = -3*k**2 - 17*k + 21. Let i(w) = 2*w**2 + 8*w - 9. Let j(g) = -5*i(g) - 3*v(g). Factor j(h).
-(h - 9)*(h - 2)
Let r be 176/(-18) - 6/27. Let t be (6/5)/((-4)/r). Factor l - l**4 + 2*l**4 - l**2 - 2*l**t + l**3 + 0*l**3.
l*(l - 1)**2*(l + 1)
Factor 0 + 2/7*d**2 - 198/7*d.
2*d*(d - 99)/7
Let n = 7693/5 - 1535. Determine d so that 16/5*d - 6/5*d**4 - 34/5*d**3 - 8/5 + 14/5*d**2 + n*d**5 = 0.
-1, 2/3, 1
Let v(x) be the second derivative of 0*x**2 - x + 0 + 0*x**3 - 1/30*x**4. Factor v(n).
-2*n**2/5
Let z be (-990)/(-117) + 12/(-26). Let i(o) be the first derivative of -75/2*o**2 - 125*o - 5*o**3 - z - 1/4*o**4. Find p such that i(p) = 0.
-5
Let j(h) = -h**2 - 9*h - 10. Suppose 14 = -5*v + 3*v. Let o be j(v). Solve 3*w**o - 4*w**5 - w**2 + 2*w - w - 10*w + 13*w**3 - 2 = 0 for w.
-1, -1/4, 1, 2
Let t(h) = -5*h**4 + 9*h**3 + 11*h**2 - 21*h + 6. Let s(a) = -10*a**4 + 19*a**3 + 21*a**2 - 41*a + 11. Let m(i) = -4*s(i) + 9*t(i). Find q such that m(q) = 0.
-2, 1
Let v(o) be the third derivative of -o**5/100 - 7*o**4/20 + 2*o**2 + 57*o. What is i in v(i) = 0?
-14, 0
Let p(b) be the first derivative of -2*b**5/35 - 9*b**4/14 + 22*b**3/21 + 9*b**2/7 - 20*b/7 + 10. Suppose p(t) = 0. What is t?
-10, -1, 1
Factor 29/5*w - 12/5*w**2 + 1/5*w**3 - 18/5.
(w - 9)*(w - 2)*(w - 1)/5
Let 8/5*s - 8/5*s**5 + 0 + 54/5*s**3 + 16/5*s**4 + 38/5*s**2 = 0. What is s?
-1, -1/2, 0, 4
Let s(b) = -3*b**3 - 34*b**2 + 17*b - 5. Let n(m) = 4*m**3 + 38*m**2 - 16*m + 4. Let q(c) = -5*n(c) - 6*s(c). Factor q(h).
-2*(h - 5)*(h - 1)**2
Factor -74*u**2 + 16*u + 72*u**2 - 16*u**3 + u**4 + u**4.
2*u*(u - 8)*(u - 1)*(u + 1)
Let y(s) be the first derivative of 26 + 4/9*s + 3/2*s**4 - 4/27*s**3 - 3*s**2. Factor y(f).
2*(f - 1)*(f + 1)*(27*f - 2)/9
Let p(h) be the first derivative of -4*h**3 + 40*h**2 + 28*h + 24. Determine d so that p(d) = 0.
-1/3, 7
Let z(w) be the first derivative of -3*w**4/2 - 11*w**3/3 + 19*w**2/2 - 6*w + 49. Factor z(m).
-(m + 3)*(2*m - 1)*(3*m - 2)
Let v(n) be the third derivative of -1/75*n**5 + 0 + 2/15*n**3 + 0*n + 1/60*n**4 - 1/300*n**6 - 9*n**2. What is r in v(r) = 0?
-2, -1, 1
Let h(a) be the third derivative of -a**7/70 + 7*a**6/20 + 3*a**5/4 + 245*a**2. Let h(n) = 0. What is n?
-1, 0, 15
Solve -445*f**2 + 42 + 888*f**2 - 440*f**2 + 45*f = 0.
-14, -1
Let q(y) be the second derivative of -7*y**6/60 - y**5/20 + 168*y. Factor q(z).
-z**3*(7*z + 2)/2
Let j(s) be the first derivative of 11 + 0*s**2 - 10/3*s**3 + 5/4*s**4 + 0*s + s**5. Factor j(p).
5*p**2*(p - 1)*(p + 2)
Let s(m) be the third derivative of 21*m**6/40 - 11*m**5/5 + m**4/2 + 263*m**2. What is o in s(o) = 0?
0, 2/21, 2
Let w(i) = -348*i + 10440. Let v be w(30). Factor 0*m**4 - 2/3*m**3 + 1/3*m + v + 1/3*m**5 + 0*m**2.
m*(m - 1)**2*(m + 1)**2/3
Solve 0*d - 18/7*d**3 - 16/7*d**2 + 0 - 2/7*d**4 = 0 for d.
-8, -1, 0
Let l be ((-3 + 3)/(-1))/(-3). Let z = -1 - l. Let o(k) = k - 1. Let x(s) = -3*s**2 - 6. Let p(d) = z*x(d) + 6*o(d). What is u in p(u) = 0?
-2, 0
Let m(x) be the first derivative of 3*x**6/2 - 15*x**5/4 + 35*x**4/12 - 5*x**3/6 - 4*x - 14. Let v(s) be the first derivative of m(s). Solve v(a) = 0.
0, 1/3, 1
Let q(f) be the second derivative of 7*f**4/3 - 50*f**3/3 - 64*f**2 + 4*f - 2. Factor q(m).
4*(m + 1)*(7*m - 32)
Let r = 2209 - 28709/13. Factor -6/13*h**2 - 8/13*h + 2/13*h**4 + 4/13*h**3 + r.
2*(h - 1)**2*(h + 2)**2/13
Factor -87/2*m - 1/4*m**2 - 7569/4.
-(m + 87)**2/4
Suppose 3*g = -2*g + i + 872, 3*i = -4*g + 709. Factor 4*u**2 + 169*u - g*u - 2*u**2.
2*u*(u - 3)
Suppose -8 = -4*v - a + 13, -2*a + 18 = 4*v. Let x be (-3)/(v*(-3)/12). Let n**5 + n**4 - n**3 + 0*n**2 - n**2 - 2*n**4 + x*n**4 = 0. What is n?
-1, 0, 1
Let f(i) be the first derivative of 2/3*i**3 + 2*i - 12 + 2*i**2. Factor f(o).
2*(o + 1)**2
Let w = -23 - -28. Determine d, given that -2*d**2 - 4*d - d**4 + 1 + d**w - 3*d**4 - 2*d**3 + 5*d + 5*d**4 = 0.
-1, 1
Suppose -5/9*g**4 - 10/9*g + 28/9*g**3 + 0 - 13/9*g**2 = 0. Calculate g.
-2/5, 0, 1, 5
Let m(a) be the third derivative of -a**5/80 + a**4 - 32*a**3 + 22*a**2 + 3*a. Factor m(y).
-3*(y - 16)**2/4
Let p(j) = -j**2 - 19*j + 29. Let t be 10/55 + 62/22. Let h(y) = 2*y**2 + 56*y - 88. Let g(w) = t*h(w) + 8*p(w). Factor g(s).
-2*(s - 4)**2
Find k such that 4/5*k**3 - 1024/5 - 132/5*k**2 + 1152/5*k = 0.
1, 16
Let j be 2/6 - 66/(-18). Let k(t) be the third derivative of 0*t**3 + 1/72*t**j - 1/630*t**7 + 0*t + 1/180*t**5 - 2*t**2 - 1/360*t**6 + 0. Factor k(c).
-c*(c - 1)*(c + 1)**2/3
Let q = 5743/104022 + 2/5779. Let n(i) be the third derivative of 0*i + 0*i**3 + 1/90*i**5 - 4*i**2 - q*i**4 + 0. Let n(s) = 0. What is s?
0, 2
Let p(h) be the second derivative of -h**6/180 - h**5/15 + h**4/8 + 355*h. Factor p(a).
-a**2*(a - 1)*(a + 9)/6
Let g = 3/14 + 5/14. Let x(q) be the second derivative of -2*q - 1/42*q**4 - 4/21*q**3 - g*q**2 + 0. Determine f, given that x(f) = 0.
-2
Let x(b) = -12*b**2 - 32*b - 16. Let a(i) = i**3 - 11*i**2 - 33*i - 15. Suppose 7*d - 28 = -0*d. Let l(u) = d*a(u) - 6*x(u). Factor l(g).
4*(g + 1)*(g + 3)**2
Let p(f) be the third derivative of f**6/72 + 8*f**5/9 + 25*f**4/2 - 360*f**3 + 498*f**2. Suppose p(s) = 0. What is s?
-18, 4
Let b(r) = r**3 - 2*r**2 - 2*r + 2. Let k = 173 - 170. Let m be b(k). Solve -2/7*n**m + 0*n**3 + 0*n**2 + 2/7*n**4 + 0 + 0*n = 0.
0, 1
Let k(z) be the second derivative of -z**5/70 - z**4/14 + 10*z**3/21 - 4*z + 15. Factor k(i).
-2*i*(i - 2)*(i + 5)/7
Let y be (-7)/(-1)*15/((-420)/(-8)). Let g(m) be the third derivative of 0*m - 1/20*m**6 + 5*m**y - 2