the first derivative of -4 + 1/24*t**i - 1/12*t**3 - 1/16*t**4 + 1/20*t**5 + 0*t**2 + 0*t. Find g such that d(g) = 0.
-1, 0, 1
Let v = -530/9 + 2687/36. Let r(x) = x**3 - 14*x**2 + 17*x - 34. Let l be r(13). Let 147/4*g**5 - 219/4*g**3 + 3 - v*g**4 + l*g + 51/4*g**2 = 0. What is g?
-1, -2/7, 1
Factor 2*v**2 + 108*v + 8 - 5*v**3 - 2*v**2 - 96*v + v**3.
-4*(v - 2)*(v + 1)**2
Factor 0 + 0*a**3 + 4/15*a**2 - 4/15*a**4 + 2/15*a - 2/15*a**5.
-2*a*(a - 1)*(a + 1)**3/15
Let t(i) be the third derivative of 1/12*i**5 - 1/3*i**4 + 0*i + 0 + 2/3*i**3 + 12*i**2 - 1/120*i**6. Factor t(w).
-(w - 2)**2*(w - 1)
Let y(i) be the third derivative of i**7/105 - 29*i**6/180 - 64*i**5/135 - 11*i**4/27 - 7*i**2 - 5*i. Factor y(l).
2*l*(l - 11)*(3*l + 2)**2/9
Let d(v) be the third derivative of -v**5/360 - 47*v**4/144 + 49*v**3/18 + v**2 + 97. Find r such that d(r) = 0.
-49, 2
Let k be (18 - 27)*(-2)/12. Let w be 32/24*(5/(-8) - -1). Factor k*g**2 - w*g**3 + 1/2 - 3/2*g.
-(g - 1)**3/2
Let h(u) = -u**2 - 12*u + 2. Let z be h(-12). Let -20*o**2 + 2*o**4 - 10*o**2 + z*o**5 - 10*o**3 + 36*o**2 = 0. Calculate o.
-3, 0, 1
Let m be 2 + 0*(-3)/(-9). Factor -6*o**m + 8*o**2 - 8 - 12*o - 5*o**2 - o**2.
-4*(o + 1)*(o + 2)
Let t(f) = 2*f**2 - f + 1. Let o(q) = 3*q**4 + 12*q**3 + 6*q**2 + 3*q - 3. Let m(x) = -o(x) - 3*t(x). Solve m(r) = 0.
-2, 0
Let w = -2/37 + 343/7030. Let y = w - -153/190. Factor 12/5 + y*t**2 - 16/5*t.
4*(t - 3)*(t - 1)/5
Let u be (0/(-26))/(2/(-2)). Let r(k) be the second derivative of -4*k + 3*k**2 + u + 1/4*k**4 + 3/2*k**3. Factor r(g).
3*(g + 1)*(g + 2)
Let k(d) = d**3 - 7*d**2 + 6*d + 2. Let j be k(6). Suppose -y = 3*y. What is a in 2*a - 11*a**j + y*a + 15*a**2 - 3*a = 0?
0, 1/4
Let j(b) be the second derivative of b**7/2520 + b**6/80 + 8*b**4/3 - 26*b. Let w(a) be the third derivative of j(a). Let w(y) = 0. Calculate y.
-9, 0
Let k(t) be the first derivative of -1/25*t**5 + 7/5*t - 2*t**2 + 6/5*t**3 + 5 - 1/5*t**4. Let k(g) = 0. Calculate g.
-7, 1
Let m(x) be the third derivative of x**5/80 + 2*x**4 + 128*x**3 + 222*x**2. Find o, given that m(o) = 0.
-32
Let c = 0 - -2. Factor -11*g - 5*g**2 - 9*g + c + 18 + 5*g.
-5*(g - 1)*(g + 4)
Let j = -225 - -111. Let m be j/(-12) + -6 - (-6)/(-2). Factor -3/2*h - 1 - m*h**2.
-(h + 1)*(h + 2)/2
Let s(d) be the third derivative of d**8/504 - 13*d**7/1260 + d**6/60 + d**5/180 - d**4/18 + d**3/12 - d**2 - 68*d. Factor s(b).
(b - 1)**4*(4*b + 3)/6
Let g(d) be the second derivative of 0 + d - 5/6*d**4 - 1/4*d**5 + 5/6*d**3 + 5*d**2. Let g(z) = 0. Calculate z.
-2, -1, 1
Let p(g) be the second derivative of -g**5/220 + 2*g**4/33 + 23*g**3/66 - 15*g**2/11 + 777*g. Factor p(w).
-(w - 10)*(w - 1)*(w + 3)/11
Suppose 41*b - 6 = 44*b - 4*p, 14 = b + 4*p. Factor 8/7*f + 4/7*f**3 - 12/7*f**b + 0.
4*f*(f - 2)*(f - 1)/7
Factor -100*l**2 - 72*l - 74*l**3 - 82*l**3 + 194*l**3 - 62*l**3 + 4*l**4.
4*l*(l - 9)*(l + 1)*(l + 2)
Suppose -4*j + 80 = -9*j. Let k = j - -18. Determine h, given that 17*h - 20*h**k + 4*h**3 - 5*h + 0*h**3 - 12 + 16*h = 0.
1, 3
Let v(z) = z**4 - 32*z**3 - 134*z**2 - 184*z - 75. Let o = 70 + -74. Let r(f) = -33*f**3 - 135*f**2 - 183*f - 75. Let s(p) = o*r(p) + 3*v(p). Factor s(l).
3*(l + 1)**2*(l + 5)**2
Let q(n) be the second derivative of -n**6/240 + 3*n**5/32 - 17*n**4/24 + 5*n**3/4 + 9*n**2 + 69*n - 5. Find g such that q(g) = 0.
-1, 4, 6
Let u(w) be the second derivative of -w**6/105 + w**5/70 + w**4/42 - w**3/21 - 14*w + 2. Factor u(p).
-2*p*(p - 1)**2*(p + 1)/7
Factor -28*i + 51*i**2 + 3*i**3 + 35 + 10 - 77*i + 8 - 2*i**3.
(i - 1)**2*(i + 53)
Suppose -2*v - 5*b = 44 - 43, -5*b = -3*v + 11. Factor -1/3*p**3 - 4/3*p**v + 0 - p.
-p*(p + 1)*(p + 3)/3
Factor -3*x**3 + 80*x**2 + 10*x**4 + 78*x**3 - 36*x**4 + 21*x**4.
-5*x**2*(x - 16)*(x + 1)
What is a in 6*a - 65*a**2 - 3*a + 41*a**2 + 5*a + 0*a**3 - 18*a**5 + 10*a**3 + 24*a**4 = 0?
-1, 0, 2/3, 1
Let i = -187 + 206. Suppose i*t + 30 = 24*t. Suppose -t*q - 1/2*q**3 - 3*q**2 - 4 = 0. Calculate q.
-2
Let t(j) be the first derivative of 3 - 2/7*j + 4/7*j**2 - 2/7*j**3. Factor t(o).
-2*(o - 1)*(3*o - 1)/7
Let o(i) = i**2 + 21*i - 76. Let s(z) = 3*z**2 + 63*z - 227. Let n(k) = 11*o(k) - 4*s(k). Factor n(r).
-(r - 3)*(r + 24)
Factor 38*q**3 + 45*q**3 - 5*q - 109*q**2 + 29*q**2 + 2*q**3.
5*q*(q - 1)*(17*q + 1)
Let a(i) = 11*i**3 + 29*i**2 - i - 25. Let j(w) = -48*w**3 - 117*w**2 + 3*w + 99. Let y(f) = 9*a(f) + 2*j(f). Factor y(q).
3*(q - 1)*(q + 1)*(q + 9)
Let w(h) be the first derivative of -7/3*h**2 - 5/6*h**4 + 4/3*h + 2/15*h**5 + 2*h**3 - 11. Let w(i) = 0. Calculate i.
1, 2
Let h(r) be the third derivative of 1/40*r**6 + 0*r**3 + 18*r**2 + 0*r**4 - 1/112*r**8 + 1/70*r**7 - 1/20*r**5 + 0 + 0*r. Determine q so that h(q) = 0.
-1, 0, 1
Let u(n) be the first derivative of -4/3*n**3 + 32*n**2 - 256*n + 13. Factor u(b).
-4*(b - 8)**2
Let g(y) be the third derivative of y**7/945 + y**6/540 - 2*y**5/135 - y**4/27 + 354*y**2. Factor g(c).
2*c*(c - 2)*(c + 1)*(c + 2)/9
Let k(t) be the first derivative of 3*t**4/28 + 4*t**3/7 + 6*t**2/7 - 18. Factor k(p).
3*p*(p + 2)**2/7
Let l(y) = 4*y**2 - 244*y + 216. Let v(z) = -2*z + 1. Let k(h) = -l(h) + 24*v(h). Determine n, given that k(n) = 0.
1, 48
Factor -506*g**2 - 676*g**3 - 146*g - 140*g - 16 - 45*g**2 - 333*g**2 + 62*g.
-4*(g + 1)*(13*g + 2)**2
Let u(a) be the second derivative of -a**4/42 + 11*a**3/21 - 30*a**2/7 + 397*a. Factor u(k).
-2*(k - 6)*(k - 5)/7
Let o(r) be the second derivative of -5*r**7/14 + 11*r**6/10 + 39*r**5/20 - 43*r**4/4 + 14*r**3 - 6*r**2 + 41*r. Determine n, given that o(n) = 0.
-2, 1/5, 1, 2
Let h = 132 - 126. Factor -11*s**2 - 4 + 10*s**2 + 1 + h*s - 2*s**2.
-3*(s - 1)**2
Let x(z) be the second derivative of 46*z + 17/42*z**4 + 0 - 8/7*z**2 - 1/14*z**5 + 2/3*z**3. Factor x(y).
-2*(y - 4)*(y + 1)*(5*y - 2)/7
Let x(u) be the second derivative of 1/3*u**6 + 0 + 0*u**4 - 7*u + 0*u**3 - 5/42*u**7 + 0*u**2 - 1/4*u**5. Solve x(v) = 0 for v.
0, 1
Suppose -s = -2*y + 59, -2*s + 0*s = 3*y - 71. Factor -9 + 51*n**2 - y*n**2 - 6*n - 21*n**2.
3*(n - 3)*(n + 1)
Let c(l) be the third derivative of l**5/180 - 11*l**4/6 + 242*l**3 - 826*l**2. Factor c(g).
(g - 66)**2/3
Let j(x) = -2*x**2 - 1. Let p(d) = 8*d**2 + 44*d + 245. Let i(n) = -3*j(n) - p(n). Factor i(t).
-2*(t + 11)**2
Factor 6048*m + 169344 + 72*m**2 + 2/7*m**3.
2*(m + 84)**3/7
Let q(p) be the third derivative of p**6/300 - p**5/150 - p**4/30 + 19*p**2. Factor q(g).
2*g*(g - 2)*(g + 1)/5
Let v = -112 - -127. Suppose 0*s**2 - 3*s**2 + v*s - 121 + 103 = 0. What is s?
2, 3
Let d be 1*-2*(-4)/((-24)/(-21)). Factor 61*l + 46 - 5*l**4 - 15*l**3 - 6 + 3*l**2 - l + d*l**2.
-5*(l - 2)*(l + 1)*(l + 2)**2
Let i(c) = 2*c**4 + 17*c**3 + 15*c**2 - 3*c + 3. Suppose 3*b = 2 + 1. Let o(p) = p**4 + p**3 + p - 1. Let q(w) = b*i(w) + 3*o(w). Factor q(t).
5*t**2*(t + 1)*(t + 3)
Let z be (-1)/2*(-123)/246. What is c in 0 + 1/2*c**3 + 1/4*c**4 - z*c**5 + 0*c**2 + 0*c = 0?
-1, 0, 2
Factor -86/3 - 15*b - 1/3*b**2.
-(b + 2)*(b + 43)/3
Let n(f) be the third derivative of f**8/84 + 4*f**7/105 - f**6/5 - 4*f**5/3 - 19*f**4/6 - 4*f**3 + 2*f**2 - 8*f. Factor n(o).
4*(o - 3)*(o + 1)**3*(o + 2)
Let t = 2675 + -1388. Factor -4*s**2 + 1283*s**3 - t*s**3 + 4*s**2 + 4*s**5.
4*s**3*(s - 1)*(s + 1)
Let h be ((-1)/6)/(-8 - 170/(-24)). Let p(z) be the first derivative of 5 - 1/11*z**2 + 0*z - 2/33*z**3 + 3/22*z**4 + h*z**5 + 2/33*z**6. Factor p(j).
2*j*(j + 1)**3*(2*j - 1)/11
Let a(f) = -5*f**3 + f**2 - 2*f. Let p(g) be the second derivative of g**5/5 - g**4/6 + g**3/3 - 7*g. Let d = -3 - 0. Let t(s) = d*p(s) - 2*a(s). Factor t(m).
-2*m*(m - 1)**2
Suppose -3*w = 2*o + 32 - 128, 0 = 3*w + 4*o - 96. Let 14*z**2 - w*z**2 - 2*z**3 + 10*z**2 + 26*z**2 + 20*z = 0. Calculate z.
-1, 0, 10
Factor -4/3*k**3 + 160/3 - 212/3*k + 56/3*k**2.
-4*(k - 8)*(k - 5)*(k - 1)/3
Let f = -2 - -4. Find p, given that f*p + 9*p - 12 + 4*p + p - 4*p**2 = 0.
1, 3
Let n(a) = -2*a**3 - 7*a**2 + 11. Let t be n(-3). What is k in 5*k**2 + 32*k - 24*k - 9*k**t = 0?
0, 2
Let u be (-36)/8*8/(-6). Suppose -u*x - 4 = -28. Factor 0*l**2 + 0*l**x + 0 - 2/11*l**5 - 2/11*l + 4/11*l**3.
-2*l*(l - 1)**2*(l + 1)**2/11
Suppose 0 = -q - 2 - 2, h + q = -4. Let b be (56/252)/((-69)/(-27) - 2). Factor b*t**4 + h*t + 0 + 0*t**3 - 2/5*t**2.
2*t**2*(t -