e third derivative of r**6/120 - 53*r**5/60 + 19*r**4/3 - 50*r**3/3 + 219*r**2. Factor m(k).
(k - 50)*(k - 2)*(k - 1)
Let r(q) = 48*q**3 + 954*q**2 + 972*q - 2001. Let v(w) = -7*w**3 - 136*w**2 - 139*w + 286. Let g(l) = 4*r(l) + 27*v(l). Factor g(u).
3*(u - 1)*(u + 2)*(u + 47)
Let l(a) = -2*a**4 - 14*a**3 - 98*a**2 - 256*a - 256. Let p(i) = i**4 - 2*i**3 + 2*i**2. Let f(x) = l(x) + p(x). Let f(s) = 0. What is s?
-4
Let m = -139 + 199. Let j be 74/m - (-100)/(-120). Factor 0 - 1/5*t**3 - 1/5*t + j*t**2.
-t*(t - 1)**2/5
Let b(u) be the second derivative of -u**7/70 + 3*u**6/40 - u**4/2 - 5*u**2 - 12*u. Let j(r) be the first derivative of b(r). Let j(o) = 0. What is o?
-1, 0, 2
Let a(h) = 44*h. Let p be a(0). Let y(f) be the first derivative of 5 + p*f - 4*f**2 + 4/3*f**3. What is d in y(d) = 0?
0, 2
Factor 0*v - 2/9*v**3 + 4/9*v**4 - 2/9*v**2 + 0.
2*v**2*(v - 1)*(2*v + 1)/9
Suppose -3*a + 29 = 5. Suppose 0 = 3*w + 2 - a. Solve -10*g**w + g**3 + 3*g + 13*g**2 - g = 0.
-2, -1, 0
Let w(z) = -504*z - 20148. Let t be w(-40). Solve -t*g + 6 - 231/2*g**2 + 270*g**3 = 0.
-2/9, 1/4, 2/5
Let v(i) be the third derivative of -i**5/140 - 65*i**4/28 - 4225*i**3/14 + 20*i**2 - 3. Solve v(p) = 0.
-65
Let v(o) be the first derivative of -1/15*o**5 + 1/6*o**4 + 1/9*o**3 + 0*o - 3 - 1/3*o**2. Factor v(a).
-a*(a - 2)*(a - 1)*(a + 1)/3
Factor 0*d + 16*d**3 + 31/7*d**4 + 108/7*d**2 + 0 + 1/7*d**5.
d**2*(d + 2)**2*(d + 27)/7
Let j(g) = 5*g**4 + 52*g**3 + 176*g**2 + 266*g + 133. Let a(f) = -f**3 + 2*f**2 + 2*f + 1. Let v(c) = -2*a(c) - j(c). Let v(k) = 0. Calculate k.
-3, -1
Factor -2/9*q**3 + 22/9*q**2 - 52/9*q + 32/9.
-2*(q - 8)*(q - 2)*(q - 1)/9
Solve -3/5*t**4 + 0 - 42/5*t**3 + 0*t - 147/5*t**2 = 0.
-7, 0
Let s(h) be the second derivative of -h**4/9 - 28*h**3/9 - 26*h**2/3 - 2*h - 28. Determine d so that s(d) = 0.
-13, -1
Suppose 140 - 140 = 3*s. Let r(w) be the second derivative of -1/4*w**5 + 15/2*w**2 + 5/6*w**3 - 5/4*w**4 - 11*w + s. Factor r(y).
-5*(y - 1)*(y + 1)*(y + 3)
Let j(z) = 5*z**3 - 1. Let l be j(1). Let r be ((-28)/(-147))/(4/6). Factor 0 + 0*i - 2/7*i**l + 4/7*i**2 + r*i**3.
-2*i**2*(i - 2)*(i + 1)/7
Factor -44/5*i**2 + 4/5*i**3 + 136/5*i - 96/5.
4*(i - 6)*(i - 4)*(i - 1)/5
Let c = -8401 - -24763/3. Let m = c - -147. Factor g**2 - 2/3*g + 1/3*g**3 + m*g**5 - g**4 + 0.
g*(g - 2)*(g - 1)**2*(g + 1)/3
Suppose 2*w + 4 = -41*d + 40*d, -13 = -5*d + w. Suppose 1/4*a**3 + 0 + 1/8*a + 3/8*a**d = 0. Calculate a.
-1, -1/2, 0
Suppose 0 = -0*z - 0*z - z. Find l such that -28*l + z*l**2 + 0*l**3 - 30*l**2 - 4*l**2 + 8 - 9*l**3 = 0.
-2, 2/9
Let a(k) = 13*k**3 - 52*k**2 + 134*k - 38. Let w = 55 + -54. Let n(j) = -j**3 - j**2 - j + 1. Let p(i) = w*a(i) + 6*n(i). Find c such that p(c) = 0.
2/7, 4
Let k(a) be the first derivative of -8/13*a - 25 - 1/26*a**4 - 10/39*a**3 - 8/13*a**2. Solve k(l) = 0 for l.
-2, -1
Let l be (36/15)/((-2)/25). Let x = l + 32. Factor 10/7*r - x*r**2 + 4/7.
-2*(r - 1)*(7*r + 2)/7
Let j be (-8)/(-6)*(-47)/(-88). Let a = j + -6/11. Factor 1/6 - a*i**2 + 0*i.
-(i - 1)*(i + 1)/6
Let g(d) = 3*d**2 - 15*d + 2. Let n be g(5). Determine b so that -1/2 - 2/3*b - 1/6*b**n = 0.
-3, -1
Determine v so that 14/3*v**4 + 152/9*v**3 + 166/9*v**2 + 8/9 + 64/9*v = 0.
-2, -1, -1/3, -2/7
Let p(c) = c**5 + 2*c**4 + c**3 + c**2 - c - 1. Let o(q) = 70*q**4 - 170*q**3 - 55*q**2 + 175*q - 5. Let l(r) = -o(r) + 5*p(r). What is u in l(u) = 0?
-1, 0, 1, 6
Let n(c) be the first derivative of -c**6/90 - c**5/45 + c**4/18 + 19*c**3/3 - 17. Let g(z) be the third derivative of n(z). Let g(b) = 0. What is b?
-1, 1/3
Let r(n) = -n**3 + 10*n**2 - 5*n + 55. Let p be r(10). Let b(u) be the second derivative of -1/24*u**4 + 0 - 1/12*u**3 - p*u + 0*u**2. Let b(l) = 0. What is l?
-1, 0
Let k(j) = -6*j**2 + 19*j - 149. Let f(p) = p**2 + p + 1. Let i(g) = 20*f(g) + 4*k(g). Suppose i(t) = 0. Calculate t.
12
Let o(a) = -a**2 - 2*a + 5. Let s be o(-3). Let h(q) be the third derivative of 0*q - 3*q**s + 1/120*q**6 + 0 + 0*q**4 + 0*q**3 + 0*q**5. Factor h(n).
n**3
Let r(y) be the second derivative of -5*y**4/12 - 325*y**3 - 190125*y**2/2 + 636*y. Let r(s) = 0. What is s?
-195
Let f(k) be the second derivative of k**5/50 + k**4/3 + 77*k. Solve f(i) = 0.
-10, 0
Let r(v) = -3*v**2 - 422*v - 12683. Let x(n) = 2*n**2 + 280*n + 8455. Let l(f) = -5*r(f) - 8*x(f). Let l(g) = 0. What is g?
-65
Factor 3/2*p**5 + 3/2*p**4 + 0 - 6*p + 33/2*p**2 - 27/2*p**3.
3*p*(p - 1)**3*(p + 4)/2
Let j = 14 + -11. Factor 9*g + 15*g**2 + g**4 - g**3 + 0*g**3 + 8*g**3 + 0*g**j.
g*(g + 1)*(g + 3)**2
Let v(t) be the third derivative of 0 + 1/3*t**3 - 1/180*t**5 + 0*t + 1/72*t**4 + 1/1080*t**6 + t**2. Let g(m) be the first derivative of v(m). Factor g(s).
(s - 1)**2/3
Let o(z) be the first derivative of -z**2 + 0*z**3 + 0*z - 1/30*z**5 + 3 + 0*z**4. Let r(t) be the second derivative of o(t). Find v such that r(v) = 0.
0
Let y(f) be the third derivative of -7*f**2 + 29/90*f**5 - 1/20*f**6 + 0*f - 2/3*f**4 + 0 + 4/9*f**3. Determine b, given that y(b) = 0.
2/9, 1, 2
Let v(h) = 5*h**3 + 5*h**2 - 3*h - 7. Let r(x) be the second derivative of -x**3/6 + x**2/2 + 5*x. Let m(o) = -2*r(o) - v(o). Suppose m(p) = 0. What is p?
-1, 1
Suppose t = -4*t + 20. Suppose -5*d - 10 + 55 = 0. Let 6*g**2 + 3*g**2 + d*g**3 - 5*g + 3*g + 3*g**t + 5*g = 0. Calculate g.
-1, 0
Let r(t) = 4*t**2 - t - 9. Let y(i) = -3*i**2 + 2*i + 9. Let d = -4 + -15. Let x = 14 + d. Let p(f) = x*y(f) - 4*r(f). Factor p(h).
-(h + 3)**2
Let n(b) be the first derivative of 45/2*b**2 + 15 + 75*b + 3/4*b**4 - 9*b**3. Factor n(h).
3*(h - 5)**2*(h + 1)
Let v(i) = -5*i**3 - 23*i**2 - 12*i + 116. Let q(k) = -16*k**3 - 70*k**2 - 39*k + 346. Let l(p) = 2*q(p) - 7*v(p). Find r such that l(r) = 0.
-5, -4, 2
Solve 4/3*u - 2/3*u**2 + 16/3 = 0 for u.
-2, 4
Let u(p) = -14*p**2 + 7*p - 41. Let a(r) = 33*r**2 - 14*r + 81. Let d(x) = -3*a(x) - 7*u(x). Factor d(n).
-(n - 4)*(n + 11)
Let f(z) be the first derivative of -z**4/14 - 10*z**3/21 - 3*z**2/7 + 18*z/7 - 43. Factor f(h).
-2*(h - 1)*(h + 3)**2/7
Let o(y) = -4 - 36*y + 31*y + y**2 + 10*y. Let p be o(-6). Determine j, given that -12/7*j + 2/7 + 10/7*j**p = 0.
1/5, 1
Let f(r) be the third derivative of -r**5/360 - r**4/48 + 223*r**2. What is d in f(d) = 0?
-3, 0
Suppose 0 = 916*r - 917*r. Let k(y) be the second derivative of 0*y**2 + r + 3/140*y**5 + 4*y + 0*y**4 - 1/14*y**3. Determine t so that k(t) = 0.
-1, 0, 1
Let l be (2 - 0)*(-45)/(-18). Suppose 0 = 2*z + 3*c - 17, -3*c + 23 = l*z - 6. Suppose -1/2 - 1/4*g**5 - z*g**2 - 3/2*g**4 - 9/4*g - 7/2*g**3 = 0. What is g?
-2, -1
Let h(q) be the second derivative of -q**4/72 + 25*q**3/36 - 2*q**2 + 6*q - 2. Factor h(t).
-(t - 24)*(t - 1)/6
Suppose -2*z = 2*z. Suppose z = 4*c - 20, -4*l = -2*c - 3 - 3. Determine q, given that 5*q**2 - l*q**2 - 7*q**2 + 5*q**5 - 4*q**2 + 25*q**3 - 20*q**4 = 0.
0, 1, 2
Let i(x) = -x**3 + 12*x**2 - 35*x + 3. Let z be i(5). Let v(n) be the first derivative of -3/5*n**2 - 6 - 4/5*n - 2/15*n**z. Solve v(k) = 0.
-2, -1
Suppose -n + 19 = 3*g, 0 = 2*g - 2*n - 4 + 2. Let f be 22/g - (-72)/(-18). Suppose 9/5*o + 6/5*o**4 + 14/5*o**3 + 1/5*o**5 + f + 16/5*o**2 = 0. Calculate o.
-2, -1
Let a be -1*((-74)/24 + 3). Let f(k) be the third derivative of 3*k**2 + 0 + 1/30*k**5 + a*k**4 + 0*k + 0*k**3. Let f(y) = 0. Calculate y.
-1, 0
Suppose 1/4*o**2 + 8 - 3*o = 0. What is o?
4, 8
Factor 98*i**2 + 0*i + 8*i**3 - 2*i - 92*i**2.
2*i*(i + 1)*(4*i - 1)
Factor 486*y - 187/3*y**4 - 7/3*y**5 - 549*y**3 + 0 - 1539*y**2.
-y*(y + 9)**3*(7*y - 2)/3
Let s = -8941/51 - 19/102. Let f = s + 178. Factor -35/2*v + 45/2*v**2 + 5 - 25/2*v**3 + f*v**4.
5*(v - 2)*(v - 1)**3/2
Suppose -128 = 7*y + 19. Let l be 12/y - (-6)/6. Factor -3/7*c**2 - l + 6/7*c.
-3*(c - 1)**2/7
Suppose 7*d - 88 = d - 16*d. Let 0 - 6/13*n**d + 0*n - 10/13*n**3 - 4/13*n**2 = 0. Calculate n.
-1, -2/3, 0
Suppose -11*r - 58 = -3. Let j be (r/(1700/(-30)))/(6/8). Let -j*b**2 + 0 + 8/17*b = 0. What is b?
0, 4
Let l = -14 - -9. Let b = -3 - l. What is i in 3*i + 3 + b*i**2 + i**3 - 2 + i**2 = 0?
-1
Factor 21/8*x**2 + 69/8*x + 9/4.
3*(x + 3)*(7*x + 2)/8
Let z be (2 + -3)*(-1 - 9). Solve 9*p**4 + z*p**3 - 55 + 55 - 4*p**4 = 0 for p.
-2, 0
Let y(h) be the third derivative of h**6/480 + h**5/240 - 5*h**4/96 + h**3/8 - 2*h**2 