)/((-1)/(-4)). Let v = -2/3 - -10/9. Suppose 0*n - 2/9*n**z + 1/9*n**5 - v*n**4 + 5/9*n**3 + 0 = 0. Calculate n.
0, 1, 2
Let h be (-11 + 4)/((-345)/85 - -4). Factor 5 - 15*f**2 + 20*f**2 + h*f - 129*f.
5*(f - 1)**2
Factor 96/5*p + 4/5*p**2 - 324/5.
4*(p - 3)*(p + 27)/5
Let u = 16889/65 - 3292/13. Factor 63/5*q - 3/5*q**3 - 27/5*q**2 - u.
-3*(q - 1)**2*(q + 11)/5
Let p(w) be the third derivative of 0*w**3 + 1/24*w**6 + 2 + 49/72*w**4 + 0*w - 7/20*w**5 + w**2 - 1/630*w**7. Suppose p(d) = 0. What is d?
0, 1, 7
Determine t, given that -8 - 2*t**2 - 4*t**2 + 3 - 7 + 5*t**2 - 7*t = 0.
-4, -3
Solve -158/5*i**3 - 2/5*i**5 + 62*i**2 + 34/5*i**4 - 272/5*i + 88/5 = 0.
1, 2, 11
Let k(q) be the third derivative of -1/24*q**6 + 0*q + 0 - 1/2*q**5 + 108*q**2 - 25/24*q**4 + 10*q**3. Solve k(r) = 0.
-4, -3, 1
What is a in 68/11*a**3 + 0 + 90/11*a**2 - 4/11*a**5 + 10/11*a**4 + 36/11*a = 0?
-3/2, -1, 0, 6
Let p = 43427 - 43427. Factor 0 + 0*d + 0*d**2 + p*d**3 + 16/7*d**4 - 2/7*d**5.
-2*d**4*(d - 8)/7
Suppose -5*d = -20*d + 165. Factor -2*k + 0 + d + k**2 - 2 + 12*k.
(k + 1)*(k + 9)
Let o(z) be the third derivative of -35/39*z**3 + 2/195*z**5 + 0 - 186*z - 139/156*z**4 - 2*z**2. Suppose o(l) = 0. Calculate l.
-1/4, 35
Let i(k) = -12*k**2 - k. Let y(b) = -3*b**3 - 294*b**2 - 315*b + 378. Let f(p) = -18*i(p) + y(p). Factor f(a).
-3*(a - 1)*(a + 6)*(a + 21)
Let l(x) be the first derivative of 4*x**3 + 4/15*x**5 - 5/3*x**4 - 14/3*x**2 + 79 + 8/3*x. Solve l(b) = 0 for b.
1, 2
Suppose -3*g - 2764 = -w, 2*g + 2 = 12. Factor -w*n**2 + 20 + 24*n - 2771*n**2 + 5554*n**2.
4*(n + 1)*(n + 5)
Suppose 2*r = 2*i, -7*i - 3*r - 8 = -12*i. Let z be (-1 + -2)/((-18)/12). Solve -4*k**4 + i*k**z - k**3 + 2*k**3 - k**3 = 0 for k.
-1, 0, 1
Let t(h) be the first derivative of h**4/18 - 10*h**3/9 + 3*h**2 - 108*h - 3. Let l(i) be the first derivative of t(i). Factor l(j).
2*(j - 9)*(j - 1)/3
Suppose 9*w - 1 = 10*w, -2*c = 5*w - 1. Suppose 11*b + 3*b**c + 9*b + 7*b + 18*b**2 = 0. What is b?
-3, 0
Let i = 171 - 169. Factor -1971 + 1973 + 7*x + 5*x**i + 0*x.
(x + 1)*(5*x + 2)
Let n(s) be the third derivative of -s**9/3780 + s**8/1008 - s**7/1260 - 31*s**5/60 - s**2 + 86*s. Let k(c) be the third derivative of n(c). Factor k(d).
-4*d*(d - 1)*(4*d - 1)
Let a(p) = 2*p**4 - p**3 - 6*p**2 - 3*p + 4. Suppose 92 = 8*g - 31*g. Let q(w) = 3*w**4 - 3*w**3 - 12*w**2 - 6*w + 9. Let i(k) = g*q(k) + 9*a(k). Factor i(u).
3*u*(u - 1)*(u + 1)*(2*u + 1)
Suppose -6*w - 12 = -12*w. Suppose -w*v - 12 = -22. Factor -9*n**v - 30*n**4 - 22*n**3 + 36*n**2 - 2*n**4 - 40*n**2 - 5*n**5.
-2*n**2*(n + 1)**2*(7*n + 2)
Let b(l) be the third derivative of l**7/42 - l**6/24 - l**5/12 + 5*l**4/24 + 12*l**2 + 2*l + 6. Find u such that b(u) = 0.
-1, 0, 1
Let m(g) be the second derivative of g**7/6720 - 13*g**5/960 + g**4/16 - g**3/3 - 55*g**2/2 + g + 41. Let z(y) be the second derivative of m(y). Factor z(q).
(q - 3)*(q - 1)*(q + 4)/8
Let n(c) be the first derivative of c**6/150 - c**5/50 - c**4/60 + c**3/15 - 60*c + 55. Let w(j) be the first derivative of n(j). Determine p so that w(p) = 0.
-1, 0, 1, 2
Let z(d) be the third derivative of 0*d + 1/330*d**5 + 32 - 6/11*d**3 + 17/132*d**4 + 2*d**2. Let z(w) = 0. What is w?
-18, 1
Find b such that -15/4*b**3 - 9 + 69/4*b**2 - 15*b = 0.
-2/5, 2, 3
Let h be (-1430)/55 + -8 + 36. Determine g, given that -1/4*g**3 + 4 - 7/4*g**2 - h*g = 0.
-4, 1
Let t(i) be the second derivative of i**4/3 - 508*i**3 - 1526*i**2 + 40*i + 76. Factor t(f).
4*(f - 763)*(f + 1)
Suppose 0 = -3*a + 4*o - 4 + 16, 5*a + 15 = -5*o. Suppose a = 2*l + v + 4*v + 16, -5*l - 2 = 3*v. Determine j so that 8/3 - 8/3*j + 2/3*j**l = 0.
2
Let i be 4/11 - 13302/(-22). Determine g, given that 13*g - i*g**3 + 607*g**3 + 43 + 26*g**2 + 26*g + 25*g - 3 = 0.
-10, -2, -1
Let h(r) be the third derivative of r**6/780 + 7*r**5/39 - 11*r**4/12 + 24*r**3/13 + 79*r**2 - 14*r - 1. Factor h(v).
2*(v - 1)**2*(v + 72)/13
Let k(c) be the second derivative of c**4/3 + 46*c**3 + 396*c**2 - 80*c - 1. Factor k(a).
4*(a + 3)*(a + 66)
Let v(z) be the third derivative of 0 + 1/60*z**5 + 3*z**3 - 3/8*z**4 - z - 16*z**2. Factor v(b).
(b - 6)*(b - 3)
Let n(o) be the third derivative of 20*o**2 + 0*o**3 + 3*o + 1/210*o**6 - 1/21*o**5 + 2/21*o**4 + 0. Factor n(f).
4*f*(f - 4)*(f - 1)/7
Suppose 4*o = 0, 25*r = 20*r - o + 10. Let a be 240/115 + r/(-23). Let 0*z + z**4 + 2*z**a - 1/3 - 8/3*z**3 = 0. Calculate z.
-1/3, 1
Let k(n) = 20*n**3 + 240*n**2 - 1271*n - 5411. Let c(g) = 5*g**3 + 60*g**2 - 318*g - 1353. Let w(i) = -11*c(i) + 3*k(i). Factor w(x).
5*(x - 6)*(x + 3)*(x + 15)
Let x(l) = -2*l**3 - 210*l**2 - 615*l - 306. Let p be x(-102). Solve 2*o - 2/13*o**2 + p = 0 for o.
0, 13
Let -3/4*q**3 + 2025/4 - 81/4*q**2 - 405/4*q = 0. Calculate q.
-15, 3
Let x = 480 + -576. Let t be x/(-33) - (-26)/(-13). Find i, given that t*i + 2/11*i**2 + 8/11 = 0.
-4, -1
Solve -50/11*m**4 + 26/11 + 408/11*m**2 + 236/11*m - 620/11*m**3 = 0 for m.
-13, -1/5, 1
Let z(r) be the second derivative of r**5/24 + r**4/36 - 13*r**3/9 - 6*r**2 - 60*r - 6. Determine m, given that z(m) = 0.
-2, 18/5
Let u(w) be the second derivative of -w**6/90 - 17*w**5/60 - 11*w**4/6 + 13*w - 85. Solve u(x) = 0 for x.
-11, -6, 0
Let v be (-356)/(-6) - (-2)/(-6). Let j = 61 - v. Factor 20 + 21*o**2 - 4*o - 12*o**2 - 16*o - 4*o**j.
5*(o - 2)**2
Let b(l) be the first derivative of l**3 + 102*l**2 - 420*l - 4087. Suppose b(a) = 0. What is a?
-70, 2
Let u = 164795/2 + -82393. Determine r so that 0 - 18*r + 12*r**2 + 39/2*r**3 + u*r**4 = 0.
-3, -2, 0, 2/3
Let q(y) be the first derivative of 2*y**3/3 - 3864*y**2 + 7465248*y + 9001. Solve q(w) = 0.
1932
Suppose -14*b + 13*b = 2*c + 1, -4*c = 0. Let p(v) = 11*v**2 + v - 2. Let j(f) = -2*f**2. Let w(q) = b*p(q) - 5*j(q). Factor w(l).
-(l - 1)*(l + 2)
Let s(h) = -7*h**2 - 18*h - 15. Let i(p) = 8*p**2 + 23*p + 19. Let d(a) = 4*i(a) + 5*s(a). Factor d(y).
-(y - 1)*(3*y + 1)
Find q such that -524/11 + 266/11*q**3 + 522/11*q**2 - 266/11*q + 2/11*q**4 = 0.
-131, -2, -1, 1
Factor 100*t + 192138 - 483*t + 2*t**2 - 2017*t + 187764 + 340098.
2*(t - 600)**2
Suppose -424 = -483*n + 1025. Let q(k) be the first derivative of 0*k - 4/9*k**n + 10 - 1/12*k**4 + 5/6*k**2. Solve q(d) = 0.
-5, 0, 1
Suppose -7*q - 9*q - 96 = 0. Let h be (q/10 + (-28)/20)/(-1). Suppose 0*l**3 - 10*l**h + 10 + 2*l - 4*l**3 + 3*l**3 - l**3 = 0. Calculate l.
-5, -1, 1
Factor 31 - 7*o**2 - 17*o - 10 + o**2 + 3*o**2 + o**3 - 2*o**2.
(o - 7)*(o - 1)*(o + 3)
Suppose -3 = -35*u + 34*u. Let f = 1 + u. Factor 9*n**3 + 2*n**f - 12*n**4 + 3*n**2 - n**4 - n**4.
-3*n**2*(n - 1)*(4*n + 1)
Let q = 2069 + -899. Let a = q - 1162. Let a*p - 4/5*p**3 - 14/5*p**2 + 2/5*p**4 - 24/5 = 0. What is p?
-3, 1, 2
Suppose 35*v = 28*v + 9702. Factor 43073*q**2 + 12*q**3 + 38 + 325 - 43334*q**2 + v*q.
3*(q - 11)**2*(4*q + 1)
Let x(f) = -5*f**3 + 6*f. Let a(v) = v**3 - v. Let n = -186 + 185. Let m(q) = n*x(q) - 6*a(q). Factor m(o).
-o**3
Let u(l) = -3*l**3 - 2*l - 3. Let i be u(-1). Solve 34 + 11 - 9*w - 5 - 3*w - 4*w**i = 0 for w.
-5, 2
Let h(n) be the second derivative of -n**5/240 - 7*n**4/32 - 5*n**3/6 + 30*n**2 + 52*n - 2. Let q(k) be the first derivative of h(k). What is g in q(g) = 0?
-20, -1
Let x(b) be the third derivative of b**4/24 + b**3 + 3*b**2. Let a be x(-4). Find n, given that -93 - 25*n - 15*n**a + 5*n**4 + 42 + 41 + 5*n**3 = 0.
-1, 2
Factor 4704 - 3669*o + 1192*o**2 + 45*o**3 - 1051*o - 102*o**3 + 53*o**3.
-4*(o - 294)*(o - 2)**2
Let b be (-1)/4*((-80)/140)/(6/14). Let h(p) be the first derivative of p**2 + 15 - b*p**3 + 0*p. What is r in h(r) = 0?
0, 2
Suppose -9*w + 8*w + 720 = 0. Factor 256*s**4 - w*s**2 - 650*s + 78*s**3 - 150*s + 265*s**4 - 523*s**4.
-2*s*(s - 20)**2*(s + 1)
Let z(p) = -p**2 + p. Let o(u) = -u**2 + u - 10. Let j be ((-72)/(-60))/(-3*2/(-30)). Let b = -6 + 5. Let v(w) = b*o(w) + j*z(w). Suppose v(s) = 0. Calculate s.
-1, 2
Factor -232*c**3 - 35*c**4 + 59*c**3 - 500*c**2 - 15865*c + 15745*c - 117*c**3.
-5*c*(c + 2)*(c + 6)*(7*c + 2)
Let f(i) = -2156*i - 19404. Let c be f(-9). Suppose 0 + 3/4*r**3 + c*r - 3/2*r**2 = 0. Calculate r.
0, 2
Factor -110*y**2 + 102 + 35*y**3 - 141*y - 49*y - 52 - 145*y.
5*(y - 5)*(y + 2)*(7*y - 1)
Let y(g) be the third derivative of -g**7/26460 + 2*g**6/945 - 