3 + 0 - 2/7*d**4 + n*d = 0. What is d?
-1, 0, 2
Let v(r) be the third derivative of -r**8/1008 + 23*r**7/315 - 11*r**6/45 - r**5/90 + 89*r**4/72 - 22*r**3/9 - 4*r**2 - 18*r. Factor v(s).
-(s - 44)*(s - 1)**3*(s + 1)/3
Let b = 11682/5 + -2336. Let l(d) be the second derivative of 1/30*d**4 - 1/15*d**3 - b*d**2 + 0 + 3*d. Factor l(n).
2*(n - 2)*(n + 1)/5
Suppose -4*g = -1 - 15. Let s(v) be the second derivative of -1/12*v**g - 4*v - 1/3*v**3 + 0*v**2 + 0. Factor s(a).
-a*(a + 2)
Let b = -19 - -21. Factor 2*l**3 + 5*l**b + 4 - 11*l**2 - 2*l + 3*l**4 - l**4.
2*(l - 1)**2*(l + 1)*(l + 2)
Let y(t) be the third derivative of 0 + 0*t + 5/16*t**4 + 1/80*t**5 - 24*t**2 - 11/8*t**3. What is m in y(m) = 0?
-11, 1
Let a(w) be the third derivative of w**9/30240 + w**8/2520 + w**7/840 + 11*w**5/60 + 8*w**2. Let m(d) be the third derivative of a(d). Factor m(u).
2*u*(u + 1)*(u + 3)
Suppose 5*t = 4*t + 4. Let l be t/(-7) + 126/49. Solve 0 + 1/7*v**l - 1/7*v**4 + 0*v + 0*v**3 = 0.
-1, 0, 1
Let r(s) be the first derivative of 4/3*s**3 - 6*s**2 + 10 + 0*s. What is f in r(f) = 0?
0, 3
Suppose -14*z - 3*z + 68 = 0. Let j(s) be the second derivative of 0 + 1/4*s**z + 0*s**2 + 3/2*s**3 + s. Suppose j(t) = 0. Calculate t.
-3, 0
Let o be (-2)/8 - ((-5800)/(-32))/(-29). Let b(u) be the second derivative of -u**4 - 6*u + 10/3*u**3 - 4*u**2 + 0 - 1/5*u**5 + 2/15*u**o. Solve b(q) = 0 for q.
-2, 1
Let y(d) be the first derivative of -5*d**4/4 + 10*d**3 + 75*d**2/2 - 500*d - 280. Factor y(v).
-5*(v - 5)**2*(v + 4)
Determine a, given that -7*a**5 + 9*a**5 - 19*a**3 - 28*a**2 + 19*a - 4*a**2 - 13*a**3 + 77*a + 128 = 0.
-2, 2, 4
Let u = 16919/9256 - -13/712. Suppose 0 - u*p - 2/13*p**2 = 0. Calculate p.
-12, 0
Let g(y) be the first derivative of 2*y**3/15 - 54*y**2/5 + 106*y/5 + 107. What is u in g(u) = 0?
1, 53
Let x = -3/119 - -125/238. Let f(g) be the first derivative of x*g**2 + 1/5*g**5 + 3/4*g**4 + 0*g - 4 + g**3. Factor f(i).
i*(i + 1)**3
Find i, given that 0 + 2/7*i**4 - 10/7*i - 18/7*i**2 - 6/7*i**3 = 0.
-1, 0, 5
Let y(l) be the first derivative of -2*l**6/15 - 23*l**5/5 - 56*l**4 - 640*l**3/3 + 1024*l**2 - 28*l + 1. Let c(b) be the first derivative of y(b). Factor c(s).
-4*(s - 1)*(s + 8)**3
Suppose -5*k - 39 = -2*l - 2*l, -5*k - 27 = -2*l. Suppose 2 = -z - 3*z + x, -3*x = -z - l. Find g such that -2/3*g**2 + 0*g + z = 0.
0
Let s(g) be the second derivative of -g**7/504 + g**6/144 + g**5/12 + 5*g**4/4 - 7*g. Let o(a) be the third derivative of s(a). Factor o(j).
-5*(j - 2)*(j + 1)
Suppose 2*v + 30 = 2*o, -2*o + 2*v + 2*v = -36. Let k be o/2*1/3. Factor -3*t**5 + t**2 - 3*t**4 - 24*t + 0*t**2 + k*t**2 + 6*t**3 + 9*t**3 + 12.
-3*(t - 1)**3*(t + 2)**2
Let w(j) be the second derivative of 0*j**3 + 0 - 17*j - 1/60*j**4 + 1/150*j**6 + 0*j**5 + 0*j**2. Find i such that w(i) = 0.
-1, 0, 1
Let k be 318/(-5247)*(-2)/((-2)/(-3)). Suppose 2/11*x**3 + 2/11*x**2 + 0 - k*x - 2/11*x**4 = 0. Calculate x.
-1, 0, 1
Suppose 4*g - w + 0*w - 3 = 0, -5*g = 3*w - 25. Factor 6*x**g + 6 - 16*x**2 - 15*x**3 - 14*x**2 - 3*x.
-3*(x + 1)**2*(5*x - 2)
Suppose 0 = -7*b + 60 - 11. Let -22*s**4 - 5*s**4 + 4*s**5 - 35*s**2 - 96*s - 9*s**4 + 64 + b*s**2 + 92*s**3 = 0. What is s?
-1, 1, 4
Factor 9/5*i**2 - 106/5*i - 24/5.
(i - 12)*(9*i + 2)/5
Let j(k) = -k**2 - 6*k + 3. Let q be j(-6). Suppose 11*w - 13*w + 4 = 0. Determine x, given that -q + x - x + x**2 + 0*x - w*x = 0.
-1, 3
Let a(r) be the third derivative of -r**5/180 + 7*r**4/36 - 4*r**3/3 + 24*r**2 - 4*r. Suppose a(q) = 0. Calculate q.
2, 12
Let c be (-24)/40 - (-76)/10. Let r(n) be the second derivative of 0 + 4/75*n**6 + 8*n - 1/15*n**3 + 2/15*n**4 + 0*n**2 - 3/25*n**5 - 1/105*n**c. Factor r(a).
-2*a*(a - 1)**4/5
Let y(l) = l**4 + 17*l**3 - 26*l**2 + 3*l - 3. Let v(g) = -2*g**4 - 18*g**3 + 28*g**2 - 4*g + 4. Let j(b) = -3*v(b) - 4*y(b). Factor j(f).
2*f**2*(f - 5)*(f - 2)
Let j(r) be the second derivative of r**7/27720 - r**5/330 - r**4/12 + r**2 - 3*r + 2. Let w(f) be the third derivative of j(f). Solve w(p) = 0 for p.
-2, 2
Let z(a) be the third derivative of -23*a**2 - 1/378*a**7 - 1/27*a**4 + 0 - 11/540*a**6 - 7/135*a**5 + 0*a**3 + 0*a. Solve z(s) = 0 for s.
-2, -2/5, 0
Let h be (6/20*-5)/(3/(-32)). Let u be (14/(-21))/(h/(-9)). Suppose 15/8*w**3 + 0 + 0*w + 3/2*w**5 - 3*w**4 - u*w**2 = 0. What is w?
0, 1/2, 1
Determine u so that -16/17*u**2 - 2/17 - 18/17*u = 0.
-1, -1/8
Let z(k) be the third derivative of -289*k**6/320 + 357*k**5/160 - 9*k**4/8 + k**3/4 + 407*k**2. Suppose z(y) = 0. What is y?
2/17, 1
Let s be 8 - ((-18)/(-8) + (-6)/(-8)). Let 73 - 68 + 6*k + s*k**2 - 16*k = 0. What is k?
1
Let s(k) be the second derivative of 5/2*k**2 - k**5 + 0 + 5/2*k**4 - 10/3*k**3 - 8*k + 1/6*k**6. Solve s(i) = 0 for i.
1
Solve 7/5*s**3 - 19/5*s - 3*s**2 + 3/5 = 0 for s.
-1, 1/7, 3
Find t such that 500*t**2 - 503*t**2 - 26 - 6 - 30*t - 43 = 0.
-5
Let 36*u**3 + 22*u**4 + 44*u**3 + 568*u**2 + 1764 + 1680*u - 18*u**4 = 0. What is u?
-7, -3
Suppose -3*r - 5*d + 6 = -10, -d + 6 = 2*r. Factor -20*m - 19*m**2 - 22*m**2 + 20 + 0*m + 46*m**r.
5*(m - 2)**2
Let j(s) be the second derivative of -s**5/270 - s**4/36 - 2*s**3/27 - s**2 - 4*s. Let b(l) be the first derivative of j(l). Factor b(o).
-2*(o + 1)*(o + 2)/9
Let z(w) be the third derivative of -1/16*w**4 + 0*w - 1/240*w**5 + 3 - 5/24*w**3 - w**2. Find x, given that z(x) = 0.
-5, -1
Let c(b) be the third derivative of -1/48*b**4 + 1/16*b**5 + 0*b - 1/20*b**6 + 0 - 2/105*b**7 + 9*b**2 + 0*b**3. Factor c(k).
-k*(k + 2)*(4*k - 1)**2/4
Let g be 21 + 1 + (0 - 2). Suppose -3*l + l = -g. Let -14*y**2 + 20 - l*y**3 - 20 + y - 5*y = 0. What is y?
-1, -2/5, 0
Let m(q) be the third derivative of -q**8/840 - q**7/210 - q**6/180 + q**3 - 14*q**2. Let t(x) be the first derivative of m(x). Solve t(u) = 0.
-1, 0
Let g = 1850191/8495 - -4/1699. Let f = 218 - g. Factor 0 - f*u**2 + 0*u.
-u**2/5
Let o(g) = g**3 + 6*g**2 - 2*g. Let a be o(-6). Find d such that 0*d**2 - 7*d**3 + 19*d**3 - 3*d**5 + 4*d**2 + a*d**4 + 7*d**5 = 0.
-1, 0
Let b(h) be the third derivative of 1/2*h**4 + 0*h - 2*h**3 + 8*h**2 + 0 - 1/20*h**5. Factor b(k).
-3*(k - 2)**2
Let a = -13543 - -13546. Factor 16/5*g - 16/5*g**2 + 0 - 4/5*g**a + 4/5*g**4.
4*g*(g - 2)*(g - 1)*(g + 2)/5
Let a be (200/15)/((-1)/(-9)). Factor -a*n**3 + 0*n**2 + 123*n**3 - 3*n**2.
3*n**2*(n - 1)
Let y(u) be the first derivative of -2*u**5/5 - u**4/2 + 8*u**3/3 + 4*u**2 + 166. Factor y(j).
-2*j*(j - 2)*(j + 1)*(j + 2)
Let v(n) = -n**2 - 5*n - 4. Let c be v(-2). Let q = -2 + c. Factor -p + 3*p**2 - 5/4*p**3 + q.
-p*(p - 2)*(5*p - 2)/4
Let u be (-3 - -5)/((-3)/6). Let n be -7*(-7)/((-98)/u). Factor 2*d**2 - d**2 + 3*d - 5*d**n - 11*d.
-4*d*(d + 2)
Let l be (-102)/255 - (-111)/90. Solve -1 - 1/6*u**2 - l*u = 0 for u.
-3, -2
Let l(v) be the third derivative of -v**7/10 - 13*v**6/20 - 27*v**5/20 - v**4/2 + 2*v**3 + v**2. What is i in l(i) = 0?
-2, -1, 2/7
Let u be 0 + (13302/(-8))/(-9). Let c = 187 - u. Factor 6*s + 1/4*s**4 + c + 11/2*s**2 + 2*s**3.
(s + 1)**2*(s + 3)**2/4
Let q be 30/20*30/9. Let m(u) be the second derivative of -q*u - 1/12*u**3 + 0*u**2 + 0 - 1/20*u**5 + 1/8*u**4. Factor m(v).
-v*(v - 1)*(2*v - 1)/2
Let z(q) = -10*q**4 - 12*q**3 + 10*q + 6. Let f(c) = 19*c**4 + 24*c**3 - 21*c - 11. Let y(r) = 6*f(r) + 11*z(r). Factor y(n).
4*n*(n - 1)*(n + 2)**2
Determine i, given that 3/4*i**2 + 675/4 - 45/2*i = 0.
15
Let k(f) = -f**3 + f**2 - 2*f + 1. Let b(p) = 2*p**4 - 45*p**3 + 297*p**2 - 692*p + 3. Let j(c) = b(c) - 3*k(c). Factor j(o).
2*o*(o - 7)**3
Let b(r) = -2*r - 8. Let w be (4 + 1)*(0 - 1). Let z be b(w). Determine a so that 2*a**3 + 0*a**5 + a**3 - a**5 - z*a**5 = 0.
-1, 0, 1
Let g(w) be the third derivative of -w**7/105 + w**6/15 + w**5/10 - 5*w**4/6 - 8*w**3/3 + 117*w**2 - w. Find s such that g(s) = 0.
-1, 2, 4
Let c(q) be the second derivative of q**4/6 + 310*q**3/3 + 24025*q**2 + 117*q + 1. Factor c(f).
2*(f + 155)**2
Let r(i) be the first derivative of -i**4/28 + 11*i**3/21 - 19*i**2/14 + 9*i/7 - 91. Let r(s) = 0. What is s?
1, 9
Find p such that -p**2 - 597 + 400*p + 801 - 4837 - 3*p**2 - 5367 = 0.
50
Let p(v) be the second derivative of v**7/105 + 2*v**6/75 - 3*v**5/50 - 4*v**4/15 - 4*v**3/15 + 84*v. Determine h so that p(h) = 0.
-2, -1, 0, 2
Let a(x) = 5*x**4 - 