derivative of -5*d**4/12 + 125*d**3/3 - 3125*d**2/2 + 37*d - 22. Let v(y) be the first derivative of m(y). Let v(j) = 0. Calculate j.
25
Suppose -3 = -4*k + 5*g - 0, k - 4 = -2*g. Suppose 4*z = 16, k*f - z - 4 = -2*f. Factor 8/3*c**f + 8*c + 6.
2*(2*c + 3)**2/3
Let u(v) = -33*v**2 - v**3 + v - 6*v + 33 - 45*v - 11*v. Let k be u(-31). Let -k*r + 1/2*r**2 + 2 = 0. Calculate r.
2
Factor -696*b**3 - 20*b**4 - 5*b**5 + 270*b**2 + 80*b**4 + 471*b**3.
-5*b**2*(b - 6)*(b - 3)**2
Factor 270*r + 44*r**3 + 3428*r**4 - 3423*r**4 + 42*r**3 - 26*r**3 + 225*r**2.
5*r*(r + 3)**2*(r + 6)
Let r(p) be the third derivative of 1/105*p**6 + 0 - 1/14*p**4 + 0*p + 2/245*p**7 - 2/105*p**5 - 2/21*p**3 + 1/588*p**8 - 111*p**2. Factor r(j).
4*(j - 1)*(j + 1)**4/7
Let a = 133 - 161. Let y be (-1 - -8) + (-32 - a). Suppose -1/5*i**2 + 1/5*i**4 + 0*i + 0 - 1/5*i**5 + 1/5*i**y = 0. Calculate i.
-1, 0, 1
Let t = 58 - 78. Let y be (-78)/(-15) - (-4)/t. Factor -y*r**2 + 57 - 20 - 22 - 10*r.
-5*(r - 1)*(r + 3)
Let o(b) be the first derivative of -b**2 + 38*b - 18. Let l be o(18). Factor -50*z**2 + 1089*z + 3*z**3 - 3993 - 68*z**l + 19*z**2.
3*(z - 11)**3
Let u(i) be the second derivative of -i**7/168 + 5*i**6/72 - i**5/6 + 11*i**3/6 + 5*i**2/2 - 8*i - 1. Let t(f) be the second derivative of u(f). Factor t(d).
-5*d*(d - 4)*(d - 1)
Let n = 119461/6 - 59729/3. Factor 0 - o + n*o**2.
o*(o - 2)/2
Let 10138*y + y**4 + 7433*y - 204*y**2 + 12544 - 4579*y + 3792*y**2 + 116*y**3 = 0. What is y?
-56, -2
Let k(m) be the first derivative of -1/18*m**4 + 96 + 19/27*m**3 + 16/9*m**2 + 11/9*m. Factor k(l).
-(l - 11)*(l + 1)*(2*l + 1)/9
Let n = 9 - 5. Let c = -2/10403 + 52021/31209. Factor -c + 10/3*l**2 + 5/3*l**5 - 5/3*l**n + 5/3*l - 10/3*l**3.
5*(l - 1)**3*(l + 1)**2/3
Let c(r) be the first derivative of -49*r**6/2 - 74298*r**5/5 + 117021*r**4/4 - 16220*r**3 + 3042*r**2 + 7687. Suppose c(m) = 0. Calculate m.
-507, 0, 2/7, 1
Let t(i) be the first derivative of -i**7/1155 - i**6/660 + i**5/165 + 21*i**2/2 - 39. Let w(c) be the second derivative of t(c). Factor w(j).
-2*j**2*(j - 1)*(j + 2)/11
Let y = -401 - -481. Suppose -200*q + 20*q + 25*q**3 + 5*q**5 + 100*q**2 + 41*q**4 + 24*q**4 - 95*q**4 + y = 0. Calculate q.
-2, 1, 2, 4
Let b(r) be the first derivative of -r**4/15 + 4*r**3/15 - 2*r**2/5 + 114*r - 82. Let m(z) be the first derivative of b(z). Factor m(n).
-4*(n - 1)**2/5
Let f(x) be the second derivative of 0 + 92*x - 11/9*x**2 - 1/54*x**4 + 4/9*x**3. Determine c, given that f(c) = 0.
1, 11
Let h be ((-1490)/(-89400))/(1/4 - 2/16). Let 2*p**3 + 2/3*p**2 - 8/5 + 14/15*p**4 - 32/15*p + h*p**5 = 0. Calculate p.
-3, -2, -1, 1
Let g(h) be the second derivative of 5*h**7/42 - 4*h**6/3 + 3*h**5 + 5*h**4/6 - 65*h**3/6 + 15*h**2 + 2*h + 128. Let g(u) = 0. Calculate u.
-1, 1, 6
Let t(q) be the second derivative of 4*q**4 + 24*q**2 + 2*q + 1/14*q**7 - 1/2*q**6 + 3/5*q**5 + 12 - 16*q**3. What is v in t(v) = 0?
-2, 1, 2
Let z = -72095/2 + 36053. Let n(x) be the second derivative of 3/20*x**5 - 22*x + 0 + 121/2*x**3 + 0*x**2 + z*x**4. Factor n(w).
3*w*(w + 11)**2
Let u(k) be the second derivative of k**6/6 - 41*k**5/4 + 275*k**4/6 + 380*k**3/3 - 49*k + 7. Solve u(h) = 0.
-1, 0, 4, 38
Let w(l) be the first derivative of -l**6/900 - l**5/150 + l**4/4 - 95*l**3/3 - 14. Let z(k) be the third derivative of w(k). Find f such that z(f) = 0.
-5, 3
Let o(l) = -l + 7. Let r be o(5). Let n = 8284/2015 - 518/155. Let 8/13 + 2/13*a**r + n*a = 0. Calculate a.
-4, -1
Let x be 22*(15 + (-3097)/209). Let r(o) be the second derivative of 0*o**2 - 17/20*o**6 + 3/2*o**5 - 1/2*o**x + 1/7*o**7 + 0*o**3 + 0 + 12*o. Factor r(k).
3*k**2*(k - 2)**2*(4*k - 1)/2
Suppose 2*r - z = -6*z - 4, 5*r - 17 = z. Factor -170*c + 3*c**2 - 173*c - 12 + 347*c - c**r.
-(c - 3)*(c - 2)*(c + 2)
Let v(t) be the second derivative of -1 + 0*t**5 + 1/2*t**4 + 0*t**3 + 50*t - 6*t**2 - 1/40*t**6. Let v(x) = 0. Calculate x.
-2, 2
Let l = 464390 - 2321948/5. Factor l*q**2 + 0 - 4/5*q.
2*q*(q - 2)/5
Let y(v) be the second derivative of 6*v**2 + 35*v - 1/21*v**7 - 13/5*v**5 - 44/9*v**4 - 5/3*v**3 - 26/45*v**6 + 0. Suppose y(a) = 0. What is a?
-3, -2, -1, 1/3
Let r(n) = -3*n**4 + n**2 + 5*n. Let c(m) = -11*m**4 - 308*m**3 + 627*m**2 + 15*m. Let j(z) = -2*c(z) + 6*r(z). Factor j(k).
4*k**2*(k - 2)*(k + 156)
Let w(v) be the second derivative of 0*v**3 - 7/270*v**5 + 0 - 11/2*v**2 - 1/54*v**4 - v. Let q(j) be the first derivative of w(j). Factor q(z).
-2*z*(7*z + 2)/9
Factor 0 + 1/2*p**2 - 237*p.
p*(p - 474)/2
Let p = -29 - -62. Suppose 40 = 5*t - 5*g, 5*t = g - 3*g + p. Solve -4*f + 3*f - 8*f**2 + t*f**2 = 0.
-1, 0
Suppose 63002 + 3453*h**3 + 266426*h**2 + 5627 - 11*h**4 + 52403 - 361128*h + 951*h**3 + 29*h**4 = 0. Calculate h.
-123, 2/3
Let z be 6/(-75) - ((-3164)/175 + 13). Let x = 21 + -41/2. Factor x*w**z + 2*w**3 - 1 - 5/2*w - w**2 + 2*w**4.
(w - 1)*(w + 1)**3*(w + 2)/2
Let o = -2/617705 + 2470854/10500985. Find s, given that -o*s + 10/17*s**2 - 2/17*s**3 - 16/17 = 0.
-1, 2, 4
Let k be 45 - (0 - 12/3). Let j be (k + 0)*1 + -1. Let -l - 4*l**2 + 50*l - 4*l**3 + j - 17*l + 0*l**3 = 0. What is l?
-2, 3
Let q = -22473 + 22475. Let x(r) be the third derivative of 0*r - 20*r**q + 0*r**3 - 1/84*r**6 - 1/735*r**7 + 0*r**4 + 0 - 1/35*r**5. Factor x(n).
-2*n**2*(n + 2)*(n + 3)/7
Let g(w) be the third derivative of -w**6/60 - 93*w**5/10 - 1610*w**4 + 19600*w**3/3 - 436*w**2 - w. Determine f so that g(f) = 0.
-140, 1
Let n(c) be the third derivative of -1/150*c**6 - 1 - 1/525*c**7 + 0*c**3 + 6*c**2 - 1/15*c**4 + 0*c + 7/150*c**5. Solve n(f) = 0.
-4, 0, 1
Let r(p) be the second derivative of 0*p**2 + 5*p + 2/105*p**7 + 1/25*p**5 - 5 - 1/5*p**4 + 2/25*p**6 - 4/15*p**3. Suppose r(b) = 0. What is b?
-2, -1, 0, 1
Let f(u) be the second derivative of -u**5/150 + 512*u**4/15 - 1048576*u**3/15 + 1073741824*u**2/15 + 56*u. Find m, given that f(m) = 0.
1024
Let a = -141 - -1567/11. Let u = 141 + -138. Factor -a + 490/11*l**u + 152/11*l - 476/11*l**2.
2*(5*l - 2)*(7*l - 2)**2/11
Factor 0*i**2 - 81*i - 299*i + 21*i**2 + 108 - 8 + 74*i**2 + 35*i**3.
5*(i - 2)*(i + 5)*(7*i - 2)
Let q(b) = -6*b**2 - 8*b**2 - 186*b + 86*b + 76*b - 10. Let u(t) = 9*t**2 + 16*t + 7. Suppose 3*z = 8*z - 25. Let k(y) = z*q(y) + 8*u(y). Factor k(o).
2*(o + 1)*(o + 3)
Let y(l) be the third derivative of l**5/120 + 17*l**4/8 + 98*l**3/3 + 31*l**2 - 12. What is c in y(c) = 0?
-98, -4
Let x(i) be the first derivative of 2*i**3 + 346*i**2 + 230*i + 50. Factor x(p).
2*(p + 115)*(3*p + 1)
Determine v so that -611*v - 5*v**2 - 1079*v - 1420 + 265*v = 0.
-284, -1
Solve -180189 - 21*l**3 + 361316 + 1632*l - 180071 - 390*l**2 = 0 for l.
-22, -4/7, 4
Let w(c) be the third derivative of -c**6/780 + 44*c**5/39 - 16279*c**4/52 + 31974*c**3/13 - 5*c**2 + c - 10. Factor w(s).
-2*(s - 219)**2*(s - 2)/13
Factor -380/3*z - 254*z**2 - 2/3*z**4 - 128*z**3 + 0.
-2*z*(z + 1)**2*(z + 190)/3
Let u(a) = 7*a - 40. Let x be (1 - 3/6)/(2/24). Let i be u(x). Factor 142*g**3 + 4*g**4 - 48*g + 36 - 5*g**i - 126*g**3 - 3*g**2.
4*(g - 1)**2*(g + 3)**2
Determine b so that 3112 + 4*b**3 + 1790*b + 1220*b**2 - 5266 + 3366 + 335*b + 303*b = 0.
-303, -1
Find m, given that -10403062487/2 - 6549/2*m**2 + 1/2*m**3 + 14296467/2*m = 0.
2183
Suppose h + 4*m - 249 = -207, 0 = 4*h - m + 2. Factor 8/3 - 2/3*o - o**h.
-(o + 2)*(3*o - 4)/3
Let g(h) = -9*h**3 + 5084*h**2 - 1075263*h + 357855. Let v(z) = 35*z**3 - 20334*z**2 + 4301053*z - 1431421. Let c(d) = -22*g(d) - 6*v(d). Factor c(s).
-4*(s - 423)**2*(3*s - 1)
Let s(p) be the first derivative of -3*p**4/4 - 10*p**3 + 3*p**2/2 + 30*p - 1098. Factor s(c).
-3*(c - 1)*(c + 1)*(c + 10)
Let b be 22 + (-4)/6 + 100/(-30). Factor -150*g**2 - 32 - 17*g - 63*g**3 + 56 - g - b*g.
-3*(g + 2)*(3*g + 2)*(7*g - 2)
Determine g so that -112*g**4 + 28*g**4 + 3204*g - 376 + 3788*g**3 - 1382*g**2 + 4548*g**2 + 4286*g**2 = 0.
-1, 2/21, 47
Let f(m) = -3*m + 26. Suppose -2*a - u + 1 = -11, -2*u = -5*a + 39. Let s be f(a). Factor -s*w**2 + 2*w**5 - 39*w**3 + 4*w**4 - 2*w + 39*w**3 + w**2.
2*w*(w - 1)*(w + 1)**3
Let w(k) be the first derivative of 3*k**4/4 - 47*k**3 + 69*k**2 + 6152. Find j, given that w(j) = 0.
0, 1, 46
Let l(r) = 4*r**5 + 4*r**4 - 3*r**3 - r**2 + 2*r + 3. Let z(w) = -w**5 - w**4 - w**3 + w**2 + w - 2.