t q(g) be the second derivative of -g**7/5040 + g**6/360 + 5*g**4/12 + 60*g. Let m(a) be the third derivative of q(a). Factor m(l).
-l*(l - 4)/2
Let v(a) be the third derivative of a**8/560 + a**7/420 - 143*a**3/6 + 29*a**2. Let m(n) be the first derivative of v(n). Solve m(f) = 0 for f.
-2/3, 0
Let y(a) be the second derivative of -a**5/100 - 89*a**4/60 - 1012*a**3/15 - 968*a**2/5 + 16*a + 2. Suppose y(v) = 0. Calculate v.
-44, -1
Factor 12/5 + 2/15*g**2 - 6/5*g.
2*(g - 6)*(g - 3)/15
Let v(c) be the third derivative of -c**4/12 - 5*c**3/3 - 10*c**2. Let q be v(-11). Factor q*n**3 - 1492*n + 3 + 1504*n + 2*n**4 + n**4 + 18*n**2.
3*(n + 1)**4
Let d = -19 + 23. Suppose -4 = 4*t - 24. Find q such that -11*q**5 - 5*q**d + 20*q**3 + 5*q**2 - 3*q**t - 6*q**5 = 0.
-1, -1/4, 0, 1
Factor 144 + 2*c**2 - 4*c**4 + 15*c**4 + 16*c**3 - 48*c - 28*c**2 - 13*c**4 - 12*c.
-2*(c - 4)*(c - 3)**2*(c + 2)
Factor 23/10 + 12/5*w - 1/5*w**3 - 9/2*w**2.
-(w - 1)*(w + 23)*(2*w + 1)/10
Let d = 10 - 8. Let n = 24 - 20. Determine a so that -536*a - 20 + 95*a**n - 340*a**4 + 15*a**d + 436*a + 350*a**3 = 0.
-2/7, 1
Let h(g) be the second derivative of 1/9*g**4 + 1/90*g**5 - 7/27*g**3 + 0*g**2 - 53 - 2*g. Factor h(o).
2*o*(o - 1)*(o + 7)/9
Let s(h) be the first derivative of h**5/140 + 13*h**4/56 + 18*h**3/7 + 105*h**2/2 + 233. Let x(r) be the second derivative of s(r). Factor x(j).
3*(j + 4)*(j + 9)/7
Let p(i) be the third derivative of i**6/540 - 13*i**5/180 - 29*i**3/6 - 222*i**2. Let l(j) be the first derivative of p(j). What is b in l(b) = 0?
0, 13
Suppose -4*q + 259 = -5*t, 177 = q + 2*q + 2*t. Let 42*s**2 - 3*s**4 + 20186 - 20186 + q*s**3 = 0. What is s?
-2/3, 0, 21
Let g be 174/580 - (-274)/20. Let i(h) be the second derivative of h**2 + 1/12*h**4 + g*h + 0 + 1/2*h**3. Find n, given that i(n) = 0.
-2, -1
Let z = -29 - -31. Let r be (z + 0)/((-36)/(-54)). Factor -1/6*f**4 + 1/2*f - 1/6*f**2 + 1/3 - 1/2*f**r.
-(f - 1)*(f + 1)**2*(f + 2)/6
Let w(s) be the second derivative of 1/45*s**5 + 0*s**2 - 1/27*s**4 - 2*s + 0*s**3 - 65. Factor w(k).
4*k**2*(k - 1)/9
Let c(q) be the second derivative of -q**5/105 - 2*q**4/21 - 2*q**3/7 - 22*q**2 - q + 2. Let v(p) be the first derivative of c(p). Factor v(u).
-4*(u + 1)*(u + 3)/7
Let d(f) be the second derivative of f**7/2100 - 11*f**6/900 + 3*f**5/50 - 14*f**3/3 + 3*f**2/2 + 63*f. Let b(s) be the second derivative of d(s). Factor b(x).
2*x*(x - 9)*(x - 2)/5
Factor 58/3*g**2 - 1/6*g**3 - 1682/3*g + 0.
-g*(g - 58)**2/6
Let p(o) be the second derivative of -o**8/2240 - o**7/420 - o**6/240 + 101*o**4/12 - 64*o. Let i(c) be the third derivative of p(c). Solve i(f) = 0.
-1, 0
Let s be (2/(-4))/((-9)/34) - (-4 + 5). Let h(o) be the first derivative of -1/6*o**4 + 8/9*o**2 + s*o - 3 + 2/27*o**3. Find l such that h(l) = 0.
-1, -2/3, 2
Factor -7*v**3 - 65*v**2 + 11*v**3 - 15*v**2 - 261 - 123 - 368*v.
4*(v - 24)*(v + 2)**2
Factor 85*y**2 + 104*y**2 + 6*y**4 - 9*y**4 + 96*y + 90*y**3.
-3*y*(y - 32)*(y + 1)**2
Let k = -152 - -154. Factor -3*v**k + v**2 + 7*v**2 - 5*v**4.
-5*v**2*(v - 1)*(v + 1)
Let s(h) be the first derivative of 7/2*h**2 + 0*h - 4 + 1/3*h**3 + 3/40*h**5 + 1/4*h**4. Let o(r) be the second derivative of s(r). Factor o(y).
(3*y + 2)**2/2
Let p = 1030489 + -1030487. Find a, given that 8/5 - 49/5*a**3 - 6/5*a**p + 68/5*a + 17/5*a**4 = 0.
-1, -2/17, 2
Let f(c) = c**3 - 57*c**2 + 157*c + 272. Let l be f(54). Let s(n) be the first derivative of 0*n + 19 - 2/9*n**3 + 1/12*n**4 + 1/6*n**l. Factor s(p).
p*(p - 1)**2/3
Let i be 3*24/(-42) + 1300/350. Let w(q) be the second derivative of 1/126*q**4 + 0*q**i + 1/63*q**3 - 45*q + 0. Find t such that w(t) = 0.
-1, 0
Let b(w) be the second derivative of w**5/40 + w**4/8 - 2*w**3 + 82*w**2 - 178*w. Let u(s) be the first derivative of b(s). Factor u(q).
3*(q - 2)*(q + 4)/2
Let l(j) be the third derivative of j**5/15 - 212*j**4/3 + 89888*j**3/3 + 394*j**2 + 4*j. Determine u, given that l(u) = 0.
212
Let f(l) be the first derivative of l**4/24 - l**3/9 - l**2/3 + 4*l/3 + 2833. Suppose f(z) = 0. Calculate z.
-2, 2
Let -1/4 - 9/8*d + 19/2*d**2 - 39*d**5 + 321/8*d**3 - 37/4*d**4 = 0. What is d?
-1, -1/4, -2/13, 1/6, 1
Let p(l) be the first derivative of -l**3/4 + 123*l**2/8 - 273*l + 1003. Determine b, given that p(b) = 0.
13, 28
Let b(k) = -k**2 - 7. Let v(y) = -15*y**2 - 10110*y - 5110675. Let j(p) = -10*b(p) + v(p). Solve j(i) = 0.
-1011
Suppose -239*g - 913*g + 1323 = -981. Find l such that -56/3*l + 38/3*l**3 + 16/3 - 10/3*l**5 + 28/3*l**g - 16/3*l**4 = 0.
-2, 2/5, 1
Let x(f) be the third derivative of -f**7/70 + 17*f**6/40 + 19*f**5/20 - 17*f**4/8 - 9*f**3 + 3*f**2 + 203. Factor x(k).
-3*(k - 18)*(k - 1)*(k + 1)**2
Let o(n) be the first derivative of 2*n**5/5 - 209*n**4 + 1664*n**3/3 - 1070. What is x in o(x) = 0?
0, 2, 416
Let s = -1268 + 1136. Let y = 265/2 + s. Factor -y*r + 1/4*r**2 + 0.
r*(r - 2)/4
Let c be 3/(-144)*1648/12. Let j = c - -28/9. Factor 2*g - j*g**2 - 4.
-(g - 4)**2/4
Suppose 5*w + 460 = 2*b, -4*w - b = 84 + 271. Let q = -84 - w. Factor 11 + 3*f**3 + 3*f + q*f**2 - 9 - f**3 + 3*f.
2*(f + 1)**3
Let u = -79735 + 398726/5. Factor -6/5*t**2 + u - 99/5*t.
-3*(t + 17)*(2*t - 1)/5
Let 0 - 88/5*d**2 + 1/5*d**5 + 0*d - 26/5*d**4 + 92/5*d**3 = 0. Calculate d.
0, 2, 22
Let c(l) = 2*l**2 - 8. Let d(f) be the second derivative of 5*f**4/6 - 20*f**2 - 52*f. Let s(n) = -16*c(n) + 3*d(n). Factor s(u).
-2*(u - 2)*(u + 2)
Let j(p) be the second derivative of p**7/56 - 11*p**6/20 + 9*p**5/2 + 11*p**4/8 - 121*p**3/8 - 161*p. Determine u so that j(u) = 0.
-1, 0, 1, 11
Let x(k) be the first derivative of 22 - 4/3*k**3 + 3*k**2 - 30*k + 1/6*k**4. Let b(z) be the first derivative of x(z). Factor b(w).
2*(w - 3)*(w - 1)
Let w be -5 + (-816)/(-9) - 4/6. Factor w*r + 80*r**2 + 119*r + 116*r + 5*r**3.
5*r*(r + 8)**2
Let b(u) be the second derivative of -4/9*u**4 - 1/3*u**3 + 0 + 0*u**2 + 168*u - 1/5*u**5 + 1/63*u**7 + 0*u**6. Factor b(t).
2*t*(t - 3)*(t + 1)**3/3
Let i = -4255019/5 - -851004. Factor -1/5*m**2 + i*m**3 + 0 - 6/5*m.
m*(m - 3)*(m + 2)/5
Let k(u) be the second derivative of -8/3*u**4 - 1 + 1/21*u**7 - 8/15*u**6 + 5/3*u**3 + 0*u**2 - 2*u + 9/5*u**5. Factor k(i).
2*i*(i - 5)*(i - 1)**3
Let y = -5054/11 - -10119/22. Let f be (-8)/(-16) - 1*-1. Factor 3/2*l - 1/2 - f*l**2 + y*l**3.
(l - 1)**3/2
Let u(i) = i**2 - 2. Let d = 45 + -43. Let w(b) = b**2 + 12*b - 40. Let o(y) = d*u(y) - w(y). Factor o(l).
(l - 6)**2
Let c = -160 + 162. Factor -14*m + 16*m - 2*m**c - m**4 + 5*m**2.
-m*(m - 2)*(m + 1)**2
Factor 134/3*x**2 + 2/3*x**3 - 286*x + 438.
2*(x - 3)**2*(x + 73)/3
Let v(b) be the first derivative of 0*b + 1/9*b**3 + 1/18*b**6 - 100 - 1/15*b**5 + 0*b**2 - 1/12*b**4. Factor v(a).
a**2*(a - 1)**2*(a + 1)/3
Let w = 596 + -587. Let n(v) be the first derivative of -w - 2/3*v**3 + 4*v + v**2. Factor n(f).
-2*(f - 2)*(f + 1)
Let x(f) be the second derivative of 1521*f**5/100 - 3341*f**4/20 - 2152*f**3/15 - 224*f**2/5 - 10020*f. Let x(i) = 0. What is i?
-8/39, 7
Let s be (-6)/15*(-1 + 0). Suppose -2273*q + 2276*q = -4*h + 21, 18 = q + 5*h. Factor 2/5*r**4 + s*r**q + 2/15*r**2 + 0 + 0*r + 2/15*r**5.
2*r**2*(r + 1)**3/15
Let d(w) be the second derivative of -2 + 0*w**2 - 1/60*w**4 + 150*w - 13/30*w**3. Solve d(j) = 0 for j.
-13, 0
Let s(r) be the third derivative of 11*r**6/260 - 68*r**5/195 + 37*r**4/39 - 16*r**3/39 - 230*r**2 + 7. Determine z so that s(z) = 0.
4/33, 2
Suppose -29*p + 37*p = 32. Factor 88120*f**3 + 47360*f - 3125 + 250*f**5 + 2939*f**4 + 6133*f**p - 3275 - 115216*f**2 + 628*f**4.
2*(f + 20)**2*(5*f - 2)**3
Let b be ((-95)/((-23560)/(-93)))/(22/(-8) - -2). What is f in -1/4*f**4 + 0*f**2 + 1/2*f**3 - b*f + 1/4 = 0?
-1, 1
Let c = -15/1283 + 150261/12830. Let q = c - 51/5. Let -q*n**3 - 9/4*n**2 + 3*n + 3/4*n**4 + 3 = 0. Calculate n.
-1, 2
Let p(l) be the third derivative of l**7/735 + 15*l**6/28 + 2916*l**5/35 + 42768*l**4/7 + 1119744*l**3/7 + l**2 - 766*l. Factor p(c).
2*(c + 9)*(c + 72)**3/7
Let d be 6/15 + ((-8)/20)/1. Let c be ((-1 - (-8)/10)*d)/(-1). Let 0 + 5/3*i**4 + 0*i - 4/3*i**5 - 1/3*i**3 + c*i**2 = 0. What is i?
0, 1/4, 1
Let l(h) be the first derivative of 1/4*h**3 - 3/16*h**4 - 3/16*h**2 - 18 - 1/80*h**6 + 3/40*h**5 - 21*h. Let k(r) be the first derivative of l(r). Factor