derivative of 0*v**2 + 1/2*v**3 - 8*v + r - 1/16*v**4. What is m in z(m) = 0?
0, 4
Let l(a) be the second derivative of -a**4/6 + a**3 + 28*a**2 - 194*a. Suppose l(g) = 0. Calculate g.
-4, 7
Let z(x) be the first derivative of 0*x - 7 + 1/15*x**5 - 4/3*x**3 + 3*x**2 + 1/6*x**4. Let p(v) be the second derivative of z(v). Suppose p(o) = 0. What is o?
-2, 1
Let t(y) = -106*y - 738. Let r be t(-7). Let h(x) be the second derivative of 0*x**2 + 5*x**3 + x**5 + 0 + 55/12*x**r - 1/6*x**6 - 26*x. Factor h(f).
-5*f*(f - 6)*(f + 1)**2
Find p, given that -8/9*p**2 - 1/9*p + 4/9*p**4 + 4/9 - 1/9*p**5 + 2/9*p**3 = 0.
-1, 1, 4
Let m = -627595/28 - -89657/4. Let q = 1 + -1. Factor 4/7*b**3 - m*b + q + 3/7*b**2.
b*(b + 1)*(4*b - 1)/7
Let v = 2430 + -2425. Let g(l) be the first derivative of 15/4*l**4 + 17 - l**v + 0*l - 5*l**3 + 5/2*l**2. Factor g(i).
-5*i*(i - 1)**3
Factor -2/13*h**3 - 18574970416/13 - 12612/13*h**2 - 26510424/13*h.
-2*(h + 2102)**3/13
Let h = 1460079/10 - 292015/2. Let m be (-18)/(-10) + 1 + -2. Factor -6/5*w**2 + 2/5*w - 2/5*w**3 + h*w**4 + m.
2*(w - 2)*(w - 1)*(w + 1)**2/5
Let i be ((-1)/(-2) - (-3 - -3))*16. Let s be (-2)/(336/(-174)) + (-6)/i. Factor -72/7 + 24/7*r - s*r**2.
-2*(r - 6)**2/7
Let u(k) be the first derivative of -3*k**5/10 + 309*k**4/8 - 955*k**3/2 + 6975*k**2/4 - 13407. Factor u(c).
-3*c*(c - 93)*(c - 5)**2/2
Let g = -319 - -247. Let d be (g/(-42))/((-3563)/(-588) - 6). Factor 24/5*p + d + 1/5*p**2.
(p + 12)**2/5
Let o(l) = l**3 - 14*l**2 + 9*l + 36. Let i(f) = -2*f**3 + 28*f**2 - 17*f - 77. Let z(d) = -4*i(d) - 10*o(d). Factor z(t).
-2*(t - 13)*(t - 2)*(t + 1)
Let o(g) = -1 - g + 5*g**2 - 8*g**2 + 5*g**2 + 6. Let k(j) = 2*j**2 + 4. Let l(a) = 5*k(a) - 4*o(a). Solve l(y) = 0.
-2, 0
Factor -1/2*f**2 + 103*f - 10609/2.
-(f - 103)**2/2
Solve 18 - 1/5*k**4 - 3*k**3 - 17/5*k - 57/5*k**2 = 0 for k.
-9, -5, -2, 1
Suppose 286*d + 5*d**2 - 1377*d - 1254*d - 949 + 5619 = 0. Calculate d.
2, 467
Find r, given that -268*r**2 - 840*r + 280/3*r**3 + 2466 - 2/3*r**4 = 0.
-3, 3, 137
Let v(h) be the second derivative of h**7/42 + 19*h**6/60 - 41*h**5/40 - 91*h**4/24 - 11*h**3/4 - 31*h + 26. Let v(q) = 0. Calculate q.
-11, -1, -1/2, 0, 3
Let o(i) be the first derivative of i**4/4 - 19*i**3 + 55*i**2/2 + 59*i - 471. Let v be o(56). Find k, given that -2/3 - 2/3*k**v - 26/9*k - 26/9*k**2 = 0.
-3, -1, -1/3
Let w(b) be the first derivative of -2*b**3/9 + b**2 + 12*b - 2008. Factor w(q).
-2*(q - 6)*(q + 3)/3
Let m(z) be the first derivative of -14*z**3/9 - 90*z**2 + 800*z/3 + 4773. Factor m(d).
-2*(d + 40)*(7*d - 10)/3
Suppose 207498*h = 207502*h. Let 0*v + 10/9*v**3 + 8/9*v**4 + 2/9*v**5 + 4/9*v**2 + h = 0. What is v?
-2, -1, 0
Let u = -321 - -983/3. Let l(f) be the third derivative of -u*f**3 + 3/8*f**6 + 0*f + 12*f**2 + 17/6*f**5 + 0 + 35/6*f**4. Factor l(b).
5*(b + 2)**2*(9*b - 2)
Let m be (-472)/413 + (-43)/(-7). Suppose z - 15 + 3 = -4*f, 3*f = m*z + 32. Factor -8/3*p**3 - 4*p**2 + 32/3*p - 16/3 + 4/3*p**f.
4*(p - 2)*(p - 1)**2*(p + 2)/3
Let x(q) be the second derivative of 0 + 1/20*q**5 + 1/2*q**3 + 1/4*q**4 - 17/2*q**2 + 19*q. Let c(v) be the first derivative of x(v). Factor c(o).
3*(o + 1)**2
Determine v so that -90 + 225/2*v**2 - 3/2*v**5 - 45/2*v**4 + 15/2*v**3 - 6*v = 0.
-15, -2, -1, 1, 2
Let y = -479 - -509. Factor y*s**2 - 6*s**2 - s**2 + 2 - 25*s**2.
-2*(s - 1)*(s + 1)
Let w(y) be the first derivative of -y**6/3420 - y**5/190 + 4*y**4/57 - 53*y**3/3 - 53. Let g(r) be the third derivative of w(r). Factor g(u).
-2*(u - 2)*(u + 8)/19
Let d(h) be the second derivative of 0*h**2 + 1/98*h**7 + 21*h - 3/70*h**6 + 0*h**3 + 9/140*h**5 - 1/28*h**4 + 0. Let d(s) = 0. What is s?
0, 1
Factor -3/5*s**2 + 33/5*s - 18.
-3*(s - 6)*(s - 5)/5
Let k(t) be the first derivative of t**4/2 - 116*t**3/3 + 57*t**2 - 11787. Factor k(w).
2*w*(w - 57)*(w - 1)
Let u(v) be the third derivative of v**6/24 + 10*v**5/3 + 2185*v**4/24 + 1805*v**3/3 + 31*v**2 + 7. Find n such that u(n) = 0.
-19, -2
Factor 140/3*w**2 - 208/3*w + 28 - 16/3*w**3.
-4*(w - 7)*(w - 1)*(4*w - 3)/3
Let f(m) be the second derivative of m**6/10 + 21*m**5/10 - 1596*m. Find n such that f(n) = 0.
-14, 0
Let l(d) be the second derivative of d**4/108 - 4*d**3/9 + 6*d**2 + 1087*d. Find h, given that l(h) = 0.
6, 18
Let a(y) = -2*y**3 - 2*y**2 - 3*y - 4. Let c be a(-3). Let n = c + -38. Find k, given that 0 + 49/6*k**4 + 7/2*k**n + 2/3*k - 4*k**2 = 0.
-1, 0, 2/7
Let v(x) be the first derivative of 1/2*x**4 - 2/3*x**3 - 12*x**2 - 69 + 0*x. Find c, given that v(c) = 0.
-3, 0, 4
Let x be 0/((-44 - -45)/(1 + 0/(-3))). Determine c, given that 0*c**4 + 0*c**2 + x + 1/5*c**5 + 0*c + 0*c**3 = 0.
0
Let i(v) be the second derivative of -3*v**5/20 + 9*v**4/4 + 24*v**3 + 78*v**2 - 538*v + 1. Solve i(y) = 0.
-2, 13
Let d(y) = -y**3 + 7*y**2 - 9*y - 7. Let r be d(5). Let f be r*(4/(-6))/((-10)/(-75)). Factor -17*z**3 + 4*z**2 + f*z**3 + 5*z**2 - 12 + 4*z**3.
-3*(z - 2)**2*(z + 1)
Let v(h) be the second derivative of 0*h**3 - 1/50*h**5 - 7*h + 1/6*h**4 + 0*h**2 + 0. Let v(y) = 0. Calculate y.
0, 5
Let m(r) be the second derivative of r**7/42 + 7*r**6/30 + 4*r**5/5 + r**4 + 271*r. Find b such that m(b) = 0.
-3, -2, 0
Let q = 20626 + -268088/13. Let -20/13*h - 2/13 - q*h**2 = 0. What is h?
-1/5
Let j(g) = -2*g**4 + 44*g**3 - 108*g**2 + 184*g - 94. Let p(z) = -z**3 - 1. Let f(o) = 2*j(o) + 36*p(o). Determine c, given that f(c) = 0.
2, 7
Suppose -3/4*a**2 - 2547/2*a - 2162403/4 = 0. Calculate a.
-849
Suppose -b = -x + 3*b + 30, -2*b = -5*x + 78. Suppose -2*s + 24 = x. Factor 3 + s - 8*f**2 + 8*f**2 + 4*f**3 - 12*f.
4*(f - 1)**2*(f + 2)
Let f be 54/(-15)*(4048/(-144) + 27). Factor 0 - 28/9*u**3 - 4/9*u**f + 0*u - 8/3*u**2.
-4*u**2*(u + 1)*(u + 6)/9
Let m(k) be the second derivative of k**6/480 + k**5/40 + 3*k**4/32 + 7*k**2/2 - 2*k - 3. Let y(p) be the first derivative of m(p). Factor y(w).
w*(w + 3)**2/4
Let x(d) be the third derivative of -d**11/1330560 + d**9/60480 + 29*d**5/12 + 176*d**2. Let w(j) be the third derivative of x(j). Factor w(z).
-z**3*(z - 2)*(z + 2)/4
Let g(f) be the first derivative of 4/5*f**2 + 171 + 16/5*f + 1/15*f**3. Let g(n) = 0. Calculate n.
-4
Let 3164*p**4 - 6336*p**4 + 3169*p**4 - 744*p - 198*p**3 - 756*p**2 = 0. Calculate p.
-62, -2, 0
Let b be 20500/(-12300)*(2 + (-19)/5). Find d such that 22/9*d**2 + 52/9*d + 2/9*d**b + 32/9 = 0.
-8, -2, -1
Factor 76832/3 - 2/3*n**3 - 25872*n + 262*n**2.
-2*(n - 196)**2*(n - 1)/3
Suppose -m - 15 = -5*d, 396*d - 5 = 391*d + 3*m. Let f(l) be the second derivative of -3/20*l**5 + 3/4*l**d + 0 + 27*l + 3/2*l**2 - 3/2*l**3. Factor f(q).
-3*(q - 1)**3
Let a(h) = -h**2 - h. Let r(q) = q**2 - 43*q - 30. Let s = 40 + -39. Let b(f) = s*r(f) + 4*a(f). Factor b(i).
-(i + 15)*(3*i + 2)
Let z(w) = 2*w**2 - 14*w + 44. Let b be z(7). Let m be 1/5 - (-9)/(270/b). Factor 0 + 1/3*t + 4/3*t**3 + m*t**2.
t*(t + 1)*(4*t + 1)/3
Let p(j) be the third derivative of 243*j**5/4 - 765*j**4/4 + 1445*j**3/6 + 115*j**2. Factor p(a).
5*(27*a - 17)**2
Let g = 60512/272277 + -2/90759. Factor g*j - 2/9*j**4 + 2/3*j**3 - 2/3*j**2 + 0.
-2*j*(j - 1)**3/9
Let m(a) = -113*a**5 + 114*a**5 + 2*a**2 - 2*a**2. Let x(i) = 10*i**5 - 4*i**4 + 4*i**2 - 2*i. Let s(z) = -8*m(z) + x(z). Solve s(r) = 0.
-1, 0, 1
Let b be 48/36 - (3/9 + -1). Let j(a) be the first derivative of -3*a**b + 2 - 5*a - 1/3*a**3. Factor j(n).
-(n + 1)*(n + 5)
Let u = -90 + 88. Let c be (-7 - -1)/(3/u). Solve -185*v**3 - 120*v**2 + 8*v - 1800*v**5 - 152*v**4 + 1780*v**5 + 47*v**c - 28*v = 0 for v.
-2, -1, -1/4, 0
Let c(b) be the first derivative of 4*b**3/27 + 16*b**2/9 - 44*b/3 + 186. Factor c(g).
4*(g - 3)*(g + 11)/9
Let k(h) be the third derivative of -h**8/840 - h**7/420 + h**6/180 + h**5/60 - 67*h**3/6 - h**2 - 6. Let o(s) be the first derivative of k(s). Factor o(x).
-2*x*(x - 1)*(x + 1)**2
Let o(p) be the second derivative of 0*p**2 - 19/105*p**6 + 1/21*p**7 + 0*p**3 + 0*p**4 - 3/35*p**5 + 2*p + 10. Let o(f) = 0. What is f?
-2/7, 0, 3
Let v(f) be the first derivative of f**4/6 - 70*f**3/9 + 137*f**2/12 - 17*f/3 - 577. Factor v(j).
(j - 34)*(2*j - 1)**2/6
Let k(t) be the third derivative of -t**7/420 - 19*t**6/30 - 937*t**5/20 + 1463*t**4/6 - 5929*t**3/12 - t**2 - 216. Determine m so that k(m) = 0.
-77, 1
Let z(f) be t