8/5*d**4 - 2/5*d**5.
-2*(d - 2)**4*(d - 1)/5
Let y(z) be the second derivative of z**4/60 + 151*z**3/10 - 684*z**2/5 - 6612*z. Let y(i) = 0. Calculate i.
-456, 3
Let w(v) be the second derivative of v**5/80 + 25*v**4/24 - 13*v**3/3 + 473*v. Factor w(t).
t*(t - 2)*(t + 52)/4
Let u be (-1520)/(-480) + 2/(-12). Suppose 0 = i - 4*c, 4*i - c - 3*c - 12 = 0. Factor 5 - 3*g**3 + g**5 + i*g**5 + 10*g**2 - 15*g - 15*g**4 + 13*g**u.
5*(g - 1)**4*(g + 1)
Let z = -46 + 50. Suppose p = z, 0 = -5*l - 0*p - 4*p + 36. Factor -3*r**3 + 15*r**4 - 2*r**2 - 14*r**l - r + 5*r**2.
r*(r - 1)**3
Let f(y) be the first derivative of -82*y**3/51 + 35*y**2/17 + 12*y/17 + 655. Determine i so that f(i) = 0.
-6/41, 1
Suppose -3*h + 5*u - 231 = 0, -2*h + 5*u + 273 = -6*h. Let r = h + 74. Determine f so that -8*f + f**2 + f**2 - 5*f**2 - 5*f**2 - r*f**3 = 0.
-2, 0
Suppose 0 = 64*s - 2320 - 240. Let z(v) be the second derivative of 1/10*v**6 + 0 + 13/4*v**4 + 6*v**3 + 9/10*v**5 + s*v + 6*v**2. Determine p so that z(p) = 0.
-2, -1
Suppose 3*c - 17 = t, 3*t + 16 - 7 = -5*c. Let h(a) be the first derivative of 20*a**c + 16*a + 28*a**2 - 2 + 9/2*a**4. Factor h(l).
2*(l + 2)*(3*l + 2)**2
Solve 126/13 - 158/13*d + 32/13*d**2 = 0.
1, 63/16
Let b(x) be the first derivative of -x**6/24 - x**5/16 + 5*x**4/48 + 5*x**3/24 - 72*x + 29. Let f(n) be the first derivative of b(n). Let f(s) = 0. Calculate s.
-1, 0, 1
Solve 1624/11*t**4 + 98/11*t**5 + 0 - 136/11*t - 824/11*t**2 - 762/11*t**3 = 0.
-17, -2/7, 0, 1
Factor 2*o**2 + 2508*o + 223533 + 334501 - 316753 + 544977.
2*(o + 627)**2
Let f(o) be the second derivative of o**6/135 - 37*o**5/90 - 7*o**4/9 + 148*o**3/27 + 152*o**2/9 - 4*o - 170. Let f(b) = 0. Calculate b.
-2, -1, 2, 38
Let l be -30*4*22/(-440). Let z(a) be the third derivative of 0 - 7/6*a**3 + 0*a - 3/20*a**5 - 1/120*a**l + 5*a**2 - 5/8*a**4. Factor z(j).
-(j + 1)**2*(j + 7)
Let k be ((-945)/252)/((-9)/60). Let a(n) be the third derivative of 0 + 1/168*n**4 + 0*n**3 + 0*n + 1/105*n**5 - k*n**2. Find f, given that a(f) = 0.
-1/4, 0
Suppose 290 = 306*h - 728 - 206. Let 13/2*u**h - 2 - 11/2*u + 15/2*u**2 - 3*u**5 + 41/2*u**3 = 0. What is u?
-1, -1/3, 1/2, 4
Let a = 12311/4874 - 63/2437. Factor a*i - 5/2*i**2 + 5.
-5*(i - 2)*(i + 1)/2
Let r(p) be the second derivative of p**5/30 - 4*p**4 - 151*p**3/9 + 74*p**2 - 25*p + 26. Factor r(w).
2*(w - 74)*(w - 1)*(w + 3)/3
Let w(u) = -2*u**2 + 185*u + 977. Let d be w(-5). Let i = -1713/5 - -345. What is s in 2/5*s**d + 2 + i*s = 0?
-5, -1
Suppose 3*n - 20 = -2*i - 0*n, 5*n - 20 = 0. Let o(q) = 35*q**3 - 4*q**2 - 4*q + 8. Let s be o(i). Suppose -12*y**2 + 2168*y + 4*y**3 + 16 - s*y = 0. What is y?
-1, 2
Factor -26/7*j**2 + 320/7 + 2/7*j**3 - 116/7*j.
2*(j - 16)*(j - 2)*(j + 5)/7
Let t(s) = 14*s + 168. Let j be t(-13). Let v be ((-30)/j)/((-32)/1008*-18). Find d, given that -3/4*d**4 - 3/2*d**3 + 0 + 9/2*d + v*d**2 = 0.
-3, -1, 0, 2
Let z(f) be the first derivative of 67 - 1/8*f**4 + 0*f - 1/12*f**6 + 0*f**3 + 0*f**2 - 1/5*f**5. Factor z(p).
-p**3*(p + 1)**2/2
Let h be 6*1/((-36)/8 + 5). Find c, given that 90*c + 92*c**2 - 61*c - h + 51*c = 0.
-1, 3/23
Suppose -8 = -p + o, 0 = 3*o - 1 + 16. Suppose 4 = -3*y - 5, p*y = -t - 7. Find v, given that 0*v**t - 120 + 89 + 52*v - 2*v**2 - 307 = 0.
13
Let v = 55 - 53. Let x be 24/11 + v/(-11). Suppose -6*d**2 - 3 + d**x + 2*d**2 + 6*d = 0. Calculate d.
1
Factor -860/3 - 856/3*x + 4/3*x**2.
4*(x - 215)*(x + 1)/3
Let o = 6/169 + 1576/3211. Suppose -7*p - 6 = -6 - 14. Let -o - 8/19*b + 2/19*b**p = 0. Calculate b.
-1, 5
Suppose 1242*g**2 + 82503*g + 51256*g + 486*g**2 + 4*g**3 + 51125*g - 137157 - 239555 = 0. What is g?
-217, 2
Let w(o) be the second derivative of o**5/20 + o**4/2 + 5*o**3/6 - 7*o - 2. Factor w(b).
b*(b + 1)*(b + 5)
Factor 0 - 5*l**4 - 4*l**2 + 1/2*l**5 - 24*l + 29/2*l**3.
l*(l - 4)**2*(l - 3)*(l + 1)/2
Solve -80 + 114*a - 113/5*a**2 + 6/5*a**3 = 0 for a.
5/6, 8, 10
Let y(j) be the second derivative of -j**4/39 + 163*j**3/39 + 82*j**2/13 + 1080*j. Suppose y(u) = 0. What is u?
-1/2, 82
Let k(f) be the third derivative of -f**6/30 - 7*f**5/30 - f**4/3 + 4*f**3/3 - 926*f**2. Factor k(h).
-2*(h + 2)**2*(2*h - 1)
Suppose 3*c - 4*j = -j + 24, -5 = -5*c - 2*j. Suppose -3*n + 7 = y, 55 = -2*y + 6*y + c*n. Factor -y*t**3 - 4*t**2 + 4*t - 14*t**3 + 22*t**3.
-4*t*(t + 1)*(2*t - 1)
Let x(k) = -k**3 + 14*k**2 - k + 14. Let d be x(14). Suppose -2*s - 2*u - 6 = d, -5*s + 5 = -0*s + u. Let -4*c - 20*c**2 + s*c + 15*c**2 = 0. What is c?
-2/5, 0
Let n(k) be the second derivative of -5*k**4 - 1/4*k**5 + 0*k**2 - 30*k**3 - 14*k + 1. Factor n(f).
-5*f*(f + 6)**2
Let n(m) be the third derivative of -m**6/30 + 3*m**5/5 - 3*m**4 + 259*m**2 + 1. Let n(q) = 0. Calculate q.
0, 3, 6
Suppose -65 - 133 = 11*d. Let b be (-6)/36 - 3/d. Factor -3/2*z**3 + b + 0*z**2 + 6*z.
-3*z*(z - 2)*(z + 2)/2
Let d(a) be the third derivative of 9*a**8/112 + 681*a**7/70 - 127*a**6/20 - 487*a**5/5 + 265*a**4 - 304*a**3 - 1087*a**2 - 6. Find z, given that d(z) = 0.
-76, -2, 2/3, 1
Let m(c) be the first derivative of -33/2*c**2 - 1/4*c**3 - 175 - 129/4*c. Factor m(u).
-3*(u + 1)*(u + 43)/4
Let n be 5 + 1*4/(-2). Suppose -384*a + 385 - 1 = 0. Determine s, given that s**3 - 2*s**3 - n + 8 - 3*s**2 - a = 0.
-2, 1
Let z(p) = -p**3 - 3*p**2 + 5*p + 8. Let b be z(-4). Suppose b*v = 5*d - 12, -6*v + 7*v + d = 6. Factor 177 + n**v + 7*n - 177.
n*(n + 7)
Factor 0 + 45/2*o**2 + 3/2*o**3 + 0*o.
3*o**2*(o + 15)/2
Factor -250*x + 714 + 3*x**3 - x**2 - 235*x + 367*x**2 + 1562*x.
3*(x + 1)*(x + 2)*(x + 119)
Let k = 38/18661 - -951445/130627. Factor -30/7 + k*o - 9/7*o**2.
-3*(o - 5)*(3*o - 2)/7
Let i = 229 + -81. Let p = i + -90. Factor -3 - 3*j**4 - 12*j - 5 - p*j**2 - 6*j**4 + 48*j + 39*j**3.
-(j - 2)*(j - 1)*(3*j - 2)**2
Let b(k) be the first derivative of k**4/6 - k**3 + 2*k**2 - 194*k - 142. Let n(v) be the first derivative of b(v). Factor n(h).
2*(h - 2)*(h - 1)
Let t be 88*35/((-24500)/(-75)). Determine h so that 6/7*h**2 + 0 - t*h = 0.
0, 11
Let z(n) be the first derivative of -20/3*n**3 - 4*n**5 - 5/6*n**6 + 13 + 0*n - 15/2*n**4 - 5/2*n**2. Determine i so that z(i) = 0.
-1, 0
Let l(c) be the second derivative of c**4/54 - 418*c**3/9 + 43681*c**2 - 1459*c. Let l(j) = 0. What is j?
627
Let g(n) be the first derivative of 3*n**5/20 + 15*n**4/8 - 27*n**3/4 - 27*n**2/2 - 762. Factor g(q).
3*q*(q - 3)*(q + 1)*(q + 12)/4
Let f be (-5*(-2)/(-10))/((-1)/47). Suppose -67 = -5*c - f. Determine d so that -324*d + 5*d**3 + 270*d**2 - 30*d**3 - 26*d**3 + 3*d**c - 648 = 0.
-1, 6
Let f(k) be the second derivative of -k**6/24 - 2*k**5/3 + 25*k**4/6 + 151*k**2/2 + 9*k. Let x(z) be the first derivative of f(z). Let x(v) = 0. What is v?
-10, 0, 2
Let f(o) be the second derivative of -4*o**7/147 + 2*o**6/35 + 4*o**5/35 - o**4/7 - 4*o**3/21 + 482*o. Suppose f(i) = 0. Calculate i.
-1, -1/2, 0, 1, 2
Suppose -4*t = -13 + 105. Let n be (-36)/((-36)/6) - t/(-4). Factor n*y**2 + 0*y + 0.
y**2/4
Let n(v) be the first derivative of v**5/30 + v**4/12 - v**3/6 + 320. Factor n(j).
j**2*(j - 1)*(j + 3)/6
Let j(w) be the third derivative of 0*w**3 + 0 + 8*w**2 + 64/105*w**5 - 1/588*w**8 - 8/735*w**7 + 8/105*w**6 + 0*w + 0*w**4. Determine b, given that j(b) = 0.
-4, 0, 4
Suppose -2*k = -4*y + 20, -2*k - 11 = -0*y - y. Let b be -15*(y - (-8)/(-3))*-8. Factor 80*z + 423 + 5*z**5 - 423 - b*z**3.
5*z*(z - 2)**2*(z + 2)**2
Let t be 918/45 + 4/(-10). Suppose -285*a - 6*a**4 + 0*a**5 + 170*a - t*a**2 + 139*a - 4*a**5 + 26*a**4 - 20*a**3 = 0. Calculate a.
-1, 0, 1, 2, 3
Let v(s) be the third derivative of s**7/70 + s**6/20 - s**5/5 - s**4 - 11*s**2 - 6*s + 7. Factor v(h).
3*h*(h - 2)*(h + 2)**2
Determine a, given that 0 + 0*a - 16*a**2 - 2/5*a**3 = 0.
-40, 0
Let s(g) = 3*g**2 - 20*g - 29. Let r be s(8). Let t(a) be the second derivative of 2/5*a**5 + 0*a**2 + 12*a + 0 - r*a**4 + 8/3*a**3. Let t(y) = 0. What is y?
0, 1/2, 4
Let i(h) be the third derivative of -h**6/240 + 31*h**5/120 + h**4/48 - 31*h**3/12 + 125*h**2 - 2*h. Factor i(p).
-(p - 31)*(p - 1)*(p + 1)/2
Let c(h) be the second derivative of 2/3*h**3 - 6*h**2 + 4/3*h**4 + 0 + 10*h. Factor c(s).
4*(s + 1)*(4*s - 3)
Let b(l) = 2*l**2 + l + 1. Let i(r) = -15*r**2 - 9*r. Suppose 8*k + 8 = 6*k, -4*p + 4 = -2*k. Let s(y) = p*i(y) - 6*