/4 - -15/4. Let x = o + 85/6. Factor 8/3*j**2 + x + 10/3*j.
2*(j + 1)*(4*j + 1)/3
Let k(o) be the first derivative of -o**3/4 - 9*o**2 - 108*o - 4. Factor k(a).
-3*(a + 12)**2/4
Suppose -96 + p**3 + 4*p**4 + 3*p**3 + 96 = 0. Calculate p.
-1, 0
Let c(f) = -2*f**4 + 141*f**3 - 2590*f**2 - 147*f + 2598. Let r(v) = v**3 + v - 2. Let t(q) = -c(q) - 3*r(q). Suppose t(n) = 0. Calculate n.
-1, 1, 36
Let t(x) be the second derivative of 3*x**5/20 + 7*x**4/24 - x**3/3 - 4*x**2 - 4*x. Let i(y) be the first derivative of t(y). Factor i(z).
(z + 1)*(9*z - 2)
Let z(c) = c**3 + 8*c**2 - 8*c + 11. Let r be z(-9). Let n be (19/10 - r) + 2/4. Suppose 0 + 1/5*i**4 - 1/5*i**2 + n*i**3 - 2/5*i = 0. Calculate i.
-2, -1, 0, 1
Let q(d) be the second derivative of 0*d**2 + 0*d**3 + 0 + 4*d + 5/84*d**7 + 15/8*d**4 - 5/12*d**6 + 3/8*d**5. Let q(x) = 0. What is x?
-1, 0, 3
Let a(s) be the third derivative of s**6/240 - s**5/120 - s**4/6 + s**3 + 149*s**2. Factor a(m).
(m - 2)**2*(m + 3)/2
Suppose -2*p = 4*d - 12, -9 = -5*d - 3*p + 7. Suppose 0 = -0*h + 4*h + 3*x - 8, -3*h + 6 = -d*x. Factor -2/7*t**3 - 2/7*t**h + 0*t + 2/7*t**4 + 0 + 2/7*t**5.
2*t**2*(t - 1)*(t + 1)**2/7
Let f(o) be the third derivative of 9*o**6/40 - 41*o**5/5 + 9*o**4/2 - 286*o**2. What is d in f(d) = 0?
0, 2/9, 18
Suppose -5*t + 150 = -0*t. Let a be (54/t - 5)/((-22)/10). Factor 6/11*h**2 + 8/11 + a*h.
2*(h + 2)*(3*h + 2)/11
Suppose 0 = n - 0*n - 2. Suppose -t + 5*t = n*j + 356, -3*j = -6. Factor 18*g**2 - t*g**4 + 14*g**5 + 13*g**5 + 111*g**3 - 78*g**2 + 12*g.
3*g*(g - 1)**2*(3*g - 2)**2
Let n be (-15)/12 - 302/(-216). Let m(d) be the first derivative of 0*d**3 + 0*d**2 + 2 + 0*d - 1/18*d**4 - 2/15*d**5 + n*d**6. What is i in m(i) = 0?
-1/4, 0, 1
Let l be ((2/4)/(14/(-28)))/(-3). Let p(u) be the third derivative of -6*u**2 - l*u**3 - 1/6*u**4 - 1/24*u**5 + 0*u - 1/240*u**6 + 0. Factor p(v).
-(v + 1)*(v + 2)**2/2
Let z be (-1)/3 + (6 - 115/15). Let f be 1/z*(112/21 - 6). Determine k, given that -1/3*k**3 + f*k - 1 + k**2 = 0.
-1, 1, 3
Determine b so that 0*b - 32/15 + 2/15*b**2 = 0.
-4, 4
Let y be ((-33)/((-66)/8))/(12/9). Determine a, given that 0 + 9/2*a**y + 3*a + 3/4*a**4 + 27/4*a**2 = 0.
-4, -1, 0
Factor 8/13*j**2 + 2/13*j**3 - 32/13*j - 128/13.
2*(j - 4)*(j + 4)**2/13
Let j(d) be the first derivative of -2*d**5/5 - 11*d**4 - 314*d**3/3 - 396*d**2 - 648*d + 52. Determine f, given that j(f) = 0.
-9, -2
Let f(s) = s + 5. Let d be f(-5). Let 4 + 2*i + 2 - 10 + d*i + 2*i**2 = 0. Calculate i.
-2, 1
Let z = -115/24 - -121/24. Solve -1/4*x**4 + 0 + z*x**2 + 1/4*x**5 - 3/4*x**3 + 1/2*x = 0 for x.
-1, 0, 1, 2
Factor -60 + 0*z**2 + z**2 - 48 - 4*z**2 + 44*z - 8*z.
-3*(z - 6)**2
Suppose 0 = 3*a - 4*l - 24, a - 3 - 5 = 2*l. Let s be 7/2 - a/16. Factor -2*k**s + 3 - 7*k - 3 + 3*k + 6*k**2.
-2*k*(k - 2)*(k - 1)
Let g(x) be the first derivative of -x**3 + 2*x**2 - 7*x + 1/6*x**4 - 2. Let d(t) be the first derivative of g(t). Factor d(y).
2*(y - 2)*(y - 1)
Let k(n) be the first derivative of -n**6/48 - 17*n**5/40 - 47*n**4/16 - 95*n**3/12 - 161*n**2/16 - 49*n/8 + 16. Solve k(q) = 0 for q.
-7, -1
Let h be 6/4*16/6. Factor 25*u**3 - 10*u**2 - 20*u**h - 357*u**5 + 362*u**5 + 0*u**2.
5*u**2*(u - 2)*(u - 1)**2
Let c be -3 - ((-4)/4 + -4). Let m be (((-3)/c)/(-3))/((-10)/(-60)). Factor 2*x**5 + 0 - 10/7*x**4 + 0*x**2 - 4/7*x**m + 0*x.
2*x**3*(x - 1)*(7*x + 2)/7
Let g(k) be the first derivative of 5*k**3/3 - 65*k**2/2 + 373. Factor g(n).
5*n*(n - 13)
Let p = 3475/15516 + -3/1724. Solve 8/9*d - 8/9 - p*d**2 = 0.
2
Let c(u) be the third derivative of u**5/30 - u**3/3 + 203*u**2. Factor c(r).
2*(r - 1)*(r + 1)
Let o be (-5)/(1300/1265) - -5. Let k = 285/572 - o. Let -2/11*z**4 + 0 - k*z + 14/11*z**2 - 12/11*z**3 + 4/11*z**5 = 0. Calculate z.
-2, 0, 1/2, 1
Let v be 56/(-63)*(-1)/12. Let k(i) be the first derivative of -1/9*i**2 + 0*i + 1/18*i**4 + 4 - v*i**3 + 2/45*i**5. Factor k(z).
2*z*(z - 1)*(z + 1)**2/9
Let x = 1 - -4. Suppose -2*l + 3*t + 8 = -2, x*t = -10. Factor -5*y + y + 0*y**2 + 3*y + y**l - 2.
(y - 2)*(y + 1)
Let q(k) be the first derivative of k**4/26 + 8*k**3/13 + 45*k**2/13 + 108*k/13 - 218. Factor q(y).
2*(y + 3)**2*(y + 6)/13
Let k be (18 + 2280/(-133))*7/3. Determine a, given that -1/3*a**3 + 0*a + 0 + 1/3*a**k = 0.
0, 1
Let g(s) = s**4 - s**3 - 4*s**2 + 16*s - 6. Let f(n) = -n**4 + n**3 + 3*n**2 - 17*n + 6. Let k(d) = 3*f(d) + 4*g(d). What is o in k(o) = 0?
-3, 1, 2
Let u(i) be the first derivative of i**5/140 - 3*i**4/56 - 2*i**3/7 + 11*i**2/2 + 3. Let d(c) be the second derivative of u(c). Determine x so that d(x) = 0.
-1, 4
What is z in 4*z + 2/5*z**2 + 0 = 0?
-10, 0
Let m(p) be the second derivative of 0 + 1/50*p**5 + 0*p**4 + 0*p**2 + 0*p**3 - 1/75*p**6 + 40*p. Let m(c) = 0. Calculate c.
0, 1
Let i be (2/(-2)*1)/((-48)/36). Let v(z) be the first derivative of -9*z**3 + 81/2*z**2 - 81*z + i*z**4 + 3. Suppose v(q) = 0. Calculate q.
3
Let z be (9/(-4))/(6/(-80)). Factor 4*g**2 + 5*g**2 + 0*g**2 - z*g - 4*g**2.
5*g*(g - 6)
Let g(j) = -20*j + 1 - 5*j - 3*j. Let y be g(-1). Solve -2*r**2 + r + y - 29 + r**3 = 0 for r.
0, 1
Factor 0*y + 0 + 1/3*y**3 + 1/3*y**2.
y**2*(y + 1)/3
Solve -2/3*p**2 - 12*p - 130/3 = 0.
-13, -5
Let i(o) be the second derivative of o**4/12 + 11*o**3/6 - 30*o**2 + 6*o + 15. Let i(z) = 0. What is z?
-15, 4
Let s(q) be the second derivative of 73/84*q**4 + 2*q + 0 + 32/147*q**7 + 1/3*q**3 + 43/35*q**5 + 1/14*q**2 + 88/105*q**6. Factor s(u).
(u + 1)**2*(4*u + 1)**3/7
Let f(v) be the third derivative of -v**8/1176 - 23*v**7/735 - 143*v**6/420 - 121*v**5/210 - 392*v**2. Suppose f(n) = 0. Calculate n.
-11, -1, 0
Suppose 0 - 28/11*v**2 + 2/11*v**3 + 26/11*v = 0. What is v?
0, 1, 13
Let a(s) = -s**2 + 7*s + 4. Let r be a(7). Determine d so that 0 + r*d**2 + 8 - 4*d**3 - 8 = 0.
0, 1
Suppose -689*y + 686*y + 15 = 0. Let l(o) be the third derivative of 0*o**3 + 0*o + 1/210*o**y + 14*o**2 + 0 - 1/42*o**4. Factor l(s).
2*s*(s - 2)/7
Let y(t) be the second derivative of 154*t**6/15 + 313*t**5/10 + 59*t**4/6 - 88*t**3/3 + 12*t**2 - 418*t. Let y(v) = 0. What is v?
-3/2, -1, 2/11, 2/7
Factor -540*j - 270*j**2 - 23*j**4 - 60*j**3 - 290 - 22*j**4 + 40*j**4 - 115.
-5*(j + 3)**4
Let k be (1200/(-72))/(-25) - 2/3. Factor -3/5*u**2 + k + 3/5*u.
-3*u*(u - 1)/5
Suppose -207 = 8*a - 17*a. Factor -7*f + 5*f**2 - 16 + a*f - f**2 - 4*f**3.
-4*(f - 2)*(f - 1)*(f + 2)
Let k = -10/113 + 416/2147. Solve -6/19*f**3 + 0*f - k*f**4 + 0 - 4/19*f**2 = 0 for f.
-2, -1, 0
Let c be ((-14 + 15)*0/1)/1. Let p be 2/4*(c - 28/(-21)). Solve -2/3*z**2 + 0 + p*z = 0 for z.
0, 1
Let b(n) = n**2 - 16*n + 6. Let w be b(16). Suppose -w*r - 15*r + 63 = 0. Determine l, given that 0 + 2/5*l**2 + 1/5*l + 1/5*l**r = 0.
-1, 0
Let s = 26782 + -26780. Let -9*l + 9*l**3 - 27/2 + 12*l**s + 3/2*l**4 = 0. What is l?
-3, -1, 1
Let i(x) be the first derivative of x**5/30 - 4*x**3/3 - 7*x**2 - 11. Let w(q) be the second derivative of i(q). Solve w(f) = 0.
-2, 2
Suppose 3*h + 10 = 19. Suppose h*o = -0*o + 6. Factor 0*z + 1/2*z**o - 1/2*z**4 + 0 + 0*z**3.
-z**2*(z - 1)*(z + 1)/2
Let y(p) be the second derivative of 0 + 12*p - 5/6*p**3 - 25/12*p**4 + 10/21*p**7 + 5/6*p**6 - 3/4*p**5 + 0*p**2. Suppose y(i) = 0. What is i?
-1, -1/4, 0, 1
Factor -40*p + 156 + 1/3*p**3 + 1/3*p**2.
(p - 6)**2*(p + 13)/3
Solve 0*w - 15*w**3 + 62 + 17*w**2 + 54 - 2*w - 116 = 0 for w.
0, 2/15, 1
Suppose -127*b + 20 = -118*b + 2. Factor 2/17*j**3 + 0 - 8/17*j**b + 8/17*j.
2*j*(j - 2)**2/17
Let u(g) = g**4 + 34*g**3 + 330*g**2 + 970*g - 1329. Let d(l) = -3*l**4 - 103*l**3 - 990*l**2 - 2911*l + 3986. Let y(m) = -2*d(m) - 7*u(m). Factor y(i).
-(i - 1)*(i + 11)**3
Let f(q) be the first derivative of 3 - 8/5*q - 6/5*q**2 + 12/5*q**3. Find u such that f(u) = 0.
-1/3, 2/3
Let j(p) be the first derivative of -p**7/2940 + 10*p**3/3 - 16. Let s(a) be the third derivative of j(a). What is v in s(v) = 0?
0
Factor 16/5*x**2 - 4/5*x**4 - 2/5*x**5 + 14/5*x + 4/5 + 4/5*x**3.
-2*(x - 2)*(x + 1)**4/5
Let k(v) = -6*v**4 - 18*v**3 - 36*v**2 - 18*v - 3. Let j(z) = -7*z**4 - 17*z**3 - 37*z**2 - 19*z - 4. Let n(g) = -3*j(g) + 4*k(g). Let n(t) = 0. What is t?
-5, -1, 0
Let v be (1/(-5 - -6))/((-1)/(-2)). Let a be 38/(-209) + (-100)/(-66). Factor -a + 2/3*g + 2/3*g**v.
2*(g - 1)*(g + 2)/3
Let v(j)