 j - 11. Let n be x(13). What is g in 2*g - 3*g - 5*g**n - 2*g + 4*g**2 = 0?
-3, 0
Let u(o) be the third derivative of -5*o**8/672 + o**7/84 + o**6/12 - o**5/6 - 129*o**2. What is x in u(x) = 0?
-2, 0, 1, 2
Let i be (-345)/60 + (4 - -2). Let c = i - 0. Factor c*h**2 + 1 + h.
(h + 2)**2/4
Let u = -9 + 11. Suppose u*m + 46 - 50 = 0. Factor s**m + 0 + 0*s + 1/2*s**3.
s**2*(s + 2)/2
Factor -8/9*j + 2/9*j**3 + 8/9 - 2/9*j**2.
2*(j - 2)*(j - 1)*(j + 2)/9
Suppose 0 = -5*g + 8 + 2, 0 = -b + 3*g + 26. What is v in 36*v**2 + 13*v**3 - 4*v**4 + 15*v**3 + 16 - 32*v - 12*v - b*v**3 = 0?
-4, 1
Let b(w) be the third derivative of -w**7/504 + w**6/144 + 5*w**4/12 - 9*w**2. Let t(a) be the second derivative of b(a). Find m such that t(m) = 0.
0, 1
Let t = -155188/105 - -1478. Let z(q) be the third derivative of -t*q**7 + 1/6*q**3 - 1/6*q**4 - 4*q**2 + 0*q + 1/20*q**5 + 0 + 1/30*q**6. Factor z(d).
-(d - 1)*(d + 1)*(2*d - 1)**2
Suppose 28*c**4 + 116*c**2 - 9*c + 24217*c**3 - 15*c - 24337*c**3 = 0. What is c?
0, 2/7, 1, 3
Suppose 80*t + 53*t = 19*t. Factor 2/3*r**3 + 0*r + t - 2/3*r**5 + 0*r**4 + 0*r**2.
-2*r**3*(r - 1)*(r + 1)/3
Let o(n) be the first derivative of -4*n**5/5 + 2*n**4 + 4*n**3 - 11. Factor o(f).
-4*f**2*(f - 3)*(f + 1)
Let g(s) be the first derivative of s**4/6 - 92*s**3/9 + 160*s**2 + 768*s - 369. Suppose g(q) = 0. What is q?
-2, 24
Let w(k) be the first derivative of k**4 - 20*k**3/3 - 26*k**2 - 28*k - 12. Factor w(z).
4*(z - 7)*(z + 1)**2
Let v(g) = -g + 7. Let r be v(5). Let x = -11 + 20. Determine b, given that -3 + x + 24*b**r - 35*b - 9*b**3 + 14*b = 0.
2/3, 1
Let q(r) be the first derivative of r**3/12 - r**2 + 3*r - 102. Let q(z) = 0. What is z?
2, 6
Find t such that -21/5*t**4 - 198/5*t**2 + 132/5*t + 111/5*t**3 - 24/5 = 0.
2/7, 1, 2
Let m(u) be the third derivative of u**7/630 - u**6/180 - 7*u**5/180 - u**4/18 - 53*u**2. Find q, given that m(q) = 0.
-1, 0, 4
Let w(s) be the third derivative of s**6/300 - s**5/25 + 32*s**3/15 - 67*s**2. Factor w(p).
2*(p - 4)**2*(p + 2)/5
Let k(h) = -h**3 - 6*h**2 - 3*h + 2. Let a be k(-6). Let w = -17 + a. Factor -12*l**2 - 42*l**2 + 64*l**5 + 14*l**2 + 4*l - 160*l**4 + 132*l**w.
4*l*(l - 1)**2*(4*l - 1)**2
Suppose -5*u + 2*a - 3*a - 28 = 0, -a - 23 = 4*u. Let m = u - -7. Factor 3*w**3 + w**3 + m*w**3 + 2*w**2 + w**4 - 3*w**3.
w**2*(w + 1)*(w + 2)
Let v be 0/(1 + -3)*(-28)/112. Suppose 10*b - 25*b + 30 = v. Factor -15/2*y**b + 12*y - 6 + 3/2*y**3.
3*(y - 2)**2*(y - 1)/2
Let n(j) be the first derivative of 6 + 3/4*j**4 - 8*j**3 - 54*j + 63/2*j**2. Factor n(x).
3*(x - 3)**2*(x - 2)
Let g(o) = 6*o**3 + 7*o**2 - 22*o + 4. Let f(s) = -s**3 + s + 1. Let k(m) = 20*f(m) + 4*g(m). Factor k(v).
4*(v - 1)**2*(v + 9)
Suppose 6*l + 3 - 21 = 0. Suppose -l*h + 20 = 2*h. What is a in 0 + 2/3*a**3 + 2/3*a**5 + 0*a - 4/3*a**h + 0*a**2 = 0?
0, 1
Let g(z) be the second derivative of -z**5/100 + 7*z**4/10 - 26*z**3/5 + 76*z**2/5 + 290*z. Factor g(k).
-(k - 38)*(k - 2)**2/5
Factor -3*a**4 - 3/5*a**5 - 3/5 - 3*a - 6*a**2 - 6*a**3.
-3*(a + 1)**5/5
Let x = -10/2231 - -8974/11155. What is h in 1/5*h**3 + 0 + 3/5*h + x*h**2 = 0?
-3, -1, 0
Let v be (-34)/204*(-1 - -1). Factor v - 5/2*x**3 + 5/2*x**2 + 5*x.
-5*x*(x - 2)*(x + 1)/2
Let h(z) be the second derivative of -z**6/90 - z**5/24 - z**4/24 + 11*z**3/3 - 38*z. Let r(w) be the second derivative of h(w). Factor r(x).
-(x + 1)*(4*x + 1)
Let f = -837 + 4189/5. Factor f + 2/5*x - 2/5*x**2.
-2*(x - 2)*(x + 1)/5
Let b(y) = -y + 12. Let a be b(9). Suppose 5 = a*r - 1. What is k in 34*k**2 + 19*k**2 + 27*k**3 - 20*k**r + 6*k = 0?
-1, -2/9, 0
Let u be ((-147)/14 - -10)*-6. Find d such that -1/11 - 2/11*d**2 + 1/11*d**5 + 2/11*d**u - 3/11*d + 3/11*d**4 = 0.
-1, 1
Let o(r) be the third derivative of 0*r**3 + 0*r**6 + 1/945*r**7 + 0*r + 0*r**4 + 0 + 3*r**2 - 1/270*r**5. Find j such that o(j) = 0.
-1, 0, 1
Let d(m) = m**2 - 17*m + 31. Let i be d(15). Let t be (i - 22 - -1)*56/(-700). What is x in 2/5*x**2 + 6/5*x - t = 0?
-4, 1
Let r(i) = -6*i**2 + 189*i - 18. Let d(s) = -3*s**2 + 94*s - 8. Let o(k) = -9*d(k) + 4*r(k). Factor o(m).
3*m*(m - 30)
Let h(x) be the first derivative of 4*x**5/5 + 4*x**4 - 8*x**3/3 - 24*x**2 + 36*x + 4. Suppose h(j) = 0. Calculate j.
-3, 1
Let d(l) be the first derivative of l**5 - 5*l**3 - 5*l**2 + 3. Find u such that d(u) = 0.
-1, 0, 2
Let r(s) be the third derivative of -s**5/3 + 7*s**4/3 + 2*s**3 + 3*s**2 - 21*s. Factor r(a).
-4*(a - 3)*(5*a + 1)
Let p(x) = 5*x**3 + 15*x**2 + 25*x + 55. Let q(l) = l**2 + 2*l + 1. Let k(u) = -p(u) + 25*q(u). Factor k(g).
-5*(g - 3)*(g - 1)*(g + 2)
Let p be (-2)/8 - ((-3599)/684 - -5). Let w = p + 1012/1197. Determine l so that -2/7*l**5 + 4/7*l - 6/7*l**4 + 0 + w*l**2 - 2/7*l**3 = 0.
-2, -1, 0, 1
Let k(o) be the third derivative of -o**7/285 + o**6/38 - 43*o**5/570 + 2*o**4/19 - 4*o**3/57 - o**2 - 215. Solve k(h) = 0 for h.
2/7, 1, 2
Let r(q) be the third derivative of -q**4/12 - 8*q**3/3 - 6*q**2. Let g be r(-8). Factor -3/4*n**2 + g + 0*n**3 + 3/4*n**4 + 0*n.
3*n**2*(n - 1)*(n + 1)/4
Let o = 5 + -3. Let m be (8/30)/(120/300). Let -1 + 1/3*y**o + m*y = 0. What is y?
-3, 1
Let r(i) = 9*i**2 - 12. Let v(f) = f**3 - 18*f**2 - f + 25. Suppose -2*s + 2 = 2*c - 2, 0 = -3*s + 5*c + 14. Let l(x) = s*v(x) + 7*r(x). Solve l(p) = 0.
-3, -1, 1
Let r(l) = -2*l - 2. Let b be r(-2). Suppose b = 4*i - 18. Find c such that c**3 + 0 - 2/3*c**2 + 0*c + 0*c**4 - 1/3*c**i = 0.
-2, 0, 1
Let b(t) be the first derivative of -3/4*t**3 + 9/20*t**5 - 3/4*t**2 + 0*t - 5/8*t**6 + 21/16*t**4 - 3. Determine z so that b(z) = 0.
-1, -2/5, 0, 1
Suppose -i - 2*i + 36 = 0. Solve -i*v**3 + 6*v**2 - 21*v**5 + 33*v**3 + 12*v**4 - 18*v**4 = 0.
-1, -2/7, 0, 1
Let l = 80 + -76. Factor -2*n**4 + 4*n**5 - 6*n**5 - 2*n**l - 2*n**5.
-4*n**4*(n + 1)
Let w be 4/(-6)*(2 - (1 + 7)). Find m, given that 3*m**2 - 6*m + 5*m - 2*m**3 + 5*m - w - m**4 = 0.
-2, 1
Let l(u) = -17*u**3 + 19*u**2 - 111*u + 237. Let v(c) = -2*c**3 + c - 1. Let w(o) = 5*l(o) - 40*v(o). Factor w(p).
-5*(p - 7)**2*(p - 5)
Factor 80/3*p - 4/9*p**2 - 400.
-4*(p - 30)**2/9
Let k(h) be the first derivative of -5*h**6/6 + 5*h**5 + 15*h**4/2 - 107. Let k(u) = 0. Calculate u.
-1, 0, 6
Let s(m) be the second derivative of -5/54*m**4 + 1/90*m**5 + 0 - 4/9*m**2 + 8/27*m**3 + 5*m. Solve s(f) = 0.
1, 2
Let x(s) be the second derivative of -s**7/21 + 2*s**6/15 + s**5/5 - 4*s**4/3 + 7*s**3/3 - 2*s**2 + 17*s. Factor x(l).
-2*(l - 1)**4*(l + 2)
Let y(g) be the second derivative of g**5/50 - g**4/12 - 2*g**3/15 - 11*g**2/2 + 2*g. Let j(i) be the first derivative of y(i). Factor j(b).
2*(b - 2)*(3*b + 1)/5
Let x(p) = 5*p**2 + 5*p + 4 + 2 + 1 + 3*p**3. Let n = 6 + -2. Let j(h) = 6*h**3 + 9*h**2 + 9*h + 15. Let q(o) = n*j(o) - 9*x(o). Find m such that q(m) = 0.
-1
Let f(u) be the third derivative of u**5/150 - 18*u**4/5 + 3888*u**3/5 + 17*u**2 + 6*u. Factor f(c).
2*(c - 108)**2/5
Let w = 2943/16247 + 1/1477. Factor 0*k**2 - 4/11*k**3 + 4/11*k - w + 2/11*k**4.
2*(k - 1)**3*(k + 1)/11
Suppose -39 = -7*y + 3. Let n(b) = -b**3 + 8*b**2 - 11*b + 9. Let v be n(y). Let -20*a**3 - v*a - 49*a**2 - 5*a**3 - 5*a**4 + 14*a**2 = 0. Calculate a.
-3, -1, 0
Determine j, given that -2/7*j**2 + 8/21*j**3 + 2/21*j**4 - 16/21 - 4/3*j = 0.
-4, -1, 2
Let v = -38 - -47. Determine j, given that 6*j**2 + 19 - 9*j**2 - 7 - v*j = 0.
-4, 1
Let p(a) = 5*a**2 - 7*a. Let b(j) be the second derivative of j**4/2 - 4*j**3/3 - 4*j. Let h(v) = -4*b(v) + 5*p(v). Determine o so that h(o) = 0.
0, 3
Let a(x) be the third derivative of -x**6/180 + x**5/6 - 2*x**4 + 12*x**3 + x**2 + 18. Let a(q) = 0. What is q?
3, 6
Solve 180*f**3 + 78*f**4 + 20998*f - 21016*f + 27*f**4 + 75*f**2 + 18*f**5 = 0.
-3, -2, -1, 0, 1/6
Suppose -32 = -3*s + 13. Let o be 10/s - (-4)/(-6). Solve o*x + 0 - 3/5*x**4 - 3/5*x**5 + 3/5*x**3 + 3/5*x**2 = 0 for x.
-1, 0, 1
Suppose 16*p - 21*p = -c + 28, -2*c + p + 20 = 0. Let t(l) be the second derivative of 1/108*l**4 + 1/18*l**2 - c*l + 0 - 1/27*l**3. Factor t(g).
(g - 1)**2/9
Let w(h) be the third derivative of 0*h**3 + 2/21*h**4 - 1/70*h**6 - 2*h**2 + 2/735*h**7 + 0*h + 0 + 0*h**5. Suppose w(c) = 0. What is c?
-1, 0, 2
Let p be (1 - 0) + (-57)/60. Let r(v) be the second derivative of -1/12*v**4 + 0*v**3 - 1/42*v**7 + 0 + p*v**5 + 0*v**2 + 1/3