2.
(g - 3)*(g + 1)**2*(g + 2)
Let n be -2 + (-49 - (-2 + 3)). Let t = 157/3 + n. Factor 1/3*l**2 - t*l**5 + 0 + 1/3*l**3 - 1/3*l**4 + 0*l.
-l**2*(l - 1)*(l + 1)**2/3
Let m(d) be the third derivative of d**7/2520 - d**5/120 + d**4/36 + 4*d**3 + 24*d**2. Let z(i) be the first derivative of m(i). Factor z(t).
(t - 1)**2*(t + 2)/3
Let x(k) = -90*k**3 + 531*k**2 + 558*k - 77. Let g(j) = -30*j**3 + 178*j**2 + 186*j - 26. Let p(o) = 7*g(o) - 2*x(o). Let p(a) = 0. Calculate a.
-1, 2/15, 7
Let x(d) = d**3 - 5*d**2 - 22*d + 98. Let k be x(6). Suppose 4*c + 2*w = 16, c = -4*w + 6 + 5. Factor l**5 - 5 + 0*l**c - k*l**4 + l**3 + 5.
l**3*(l - 1)**2
Let m = 93 - 90. Let r(h) be the third derivative of 4*h**2 + 0 + 1/48*h**4 + 1/120*h**5 + 0*h + 0*h**m. Factor r(g).
g*(g + 1)/2
Determine h, given that -46/5*h - 2/5*h**2 - 44/5 = 0.
-22, -1
Let w(p) be the second derivative of p**5/110 + p**4/11 - 7*p**3/33 - 10*p - 7. Factor w(v).
2*v*(v - 1)*(v + 7)/11
Let s(n) be the third derivative of -n**5/12 - 35*n**4/4 - 735*n**3/2 - 3*n**2. Find p such that s(p) = 0.
-21
Let r(z) = -8*z**2 + 4. Let u(f) be the second derivative of f**5/20 - 17*f**4/12 + 9*f**2/2 + 8*f. Let w(i) = -9*r(i) + 4*u(i). Suppose w(t) = 0. Calculate t.
-1, 0
Let q(p) be the third derivative of -p**5/150 + 7*p**4/60 + 40*p**2. Find h such that q(h) = 0.
0, 7
Factor -288/5 + 528/5*d - 2/5*d**4 - 44/5*d**3 - 194/5*d**2.
-2*(d - 1)**2*(d + 12)**2/5
Let l(g) be the third derivative of -g**8/25200 - g**7/1260 - g**6/150 - 2*g**5/15 - 3*g**2. Let f(s) be the third derivative of l(s). Factor f(v).
-4*(v + 2)*(v + 3)/5
Let x(v) be the first derivative of -v**5/120 - 5*v**4/72 - 7*v**3/36 - v**2/4 - 19*v + 23. Let p(r) be the first derivative of x(r). Solve p(s) = 0.
-3, -1
Let o be 1/(28/(-64)) + 2 - (-104)/70. Factor -8/5*q + o + 2/5*q**2.
2*(q - 3)*(q - 1)/5
Factor -2/7*s**3 - 6/7*s - 8/7*s**2 + 0.
-2*s*(s + 1)*(s + 3)/7
Let a be ((-100)/6)/(-25) + (-1)/6. Factor -a + 1/8*i**2 + 0*i.
(i - 2)*(i + 2)/8
Let o(h) be the third derivative of -h**7/105 - h**6/6 - 16*h**5/15 - 8*h**4/3 + 136*h**2. Factor o(x).
-2*x*(x + 2)*(x + 4)**2
Factor -48 - 253311*h**4 - 586212*h**4 - 728*h - 1480*h - 292008*h**3 - 38088*h**2.
-3*(23*h + 2)**4
Let n = -66 - -95. Factor -200*l - 63*l + n*l**2 - 2048 - 125*l**2 + 4*l**3 + 1031*l.
4*(l - 8)**3
Let k = -13576 + 13580. Suppose x**5 + x**3 - 5/2*x**k + 0*x + 0 + 0*x**2 = 0. Calculate x.
0, 1/2, 2
Suppose -8*l + 21 = -11. Let h(p) = 5*p**4 + 15*p**3 - 5*p**2 - 15*p. Let f(c) = -5*c**4 - 15*c**3 + 4*c**2 + 16*c. Let o(i) = l*h(i) + 5*f(i). Solve o(q) = 0.
-2, 0, 1
Let h be (4/(-12))/((-1)/6). Suppose 4*k - 13 = c - 1, h*c = -4*k. Suppose 1/4*y**3 - 1/4*y**k + 1/4*y**4 - 1/4*y + 0 = 0. Calculate y.
-1, 0, 1
Let y(h) = -3*h**3 - 5*h**2 - 24*h. Let j(b) = b**3. Let g(m) = 4*j(m) + y(m). Factor g(t).
t*(t - 8)*(t + 3)
Suppose -87*m = -88*m. Let k(p) be the first derivative of -2/9*p**3 + 2/15*p**5 + 0*p + 0*p**4 + m*p**2 + 1. Factor k(w).
2*w**2*(w - 1)*(w + 1)/3
Suppose -6 = -265*q + 263*q. Let p be (-9)/(-10) - (-2)/(-5). Factor -1/2*y**q + 0 - y**2 - p*y.
-y*(y + 1)**2/2
Factor 2*i**2 + 145 - 96*i - 7*i**2 + 39*i - 8*i - 75*i.
-5*(i - 1)*(i + 29)
Suppose -61 + 55 = -3*m. Find j, given that 4*j**2 + m - 23 - 3 + 20*j = 0.
-6, 1
Let p = -44 + 108. Factor 2*t**3 + 0*t**5 - t**5 - 64*t**2 + p*t**2 - t.
-t*(t - 1)**2*(t + 1)**2
Let o be ((24 + -4)*(-10)/75)/(-4). Suppose -o*w - 2/3*w**2 + 4/3 = 0. Calculate w.
-2, 1
Let v(t) be the first derivative of -3*t**4/28 + 6*t**3/7 + 45*t**2/14 - 300*t/7 - 89. Factor v(c).
-3*(c - 5)**2*(c + 4)/7
Factor -54*r**2 - 46*r**2 + 4*r**3 + 159*r**2 - 51*r**2.
4*r**2*(r + 2)
Let u(g) be the first derivative of 2*g + 2/3*g**3 - 7/2*g**2 + 31 + 3/4*g**4. Factor u(r).
(r - 1)*(r + 2)*(3*r - 1)
Let f = 56/181 - -737/543. Factor -f*m**3 + 0 + 0*m + 2/3*m**2 + 4/3*m**4 - 1/3*m**5.
-m**2*(m - 2)*(m - 1)**2/3
Let x(q) be the second derivative of q**4/7 + 3*q**3/14 - 3*q**2/14 - 6*q + 3. Factor x(i).
3*(i + 1)*(4*i - 1)/7
Let v = 43729/10 + -4362. Let j = v + -21/2. Let -j*y - 3/5 + 1/5*y**2 = 0. What is y?
-1, 3
Factor -1/4*k**2 + 39/4 - 19/2*k.
-(k - 1)*(k + 39)/4
Suppose 2*q = 3*j - 14 + 3, 4*q - 5*j = -17. Let b(g) be the first derivative of 0*g**q + 1 + 0*g + 0*g**3 + 1/10*g**4. Factor b(f).
2*f**3/5
Let m be 16/(-26)*((-5)/(-20))/((-1)/36). Factor -m - 2/13*y**2 + 24/13*y.
-2*(y - 6)**2/13
Determine h so that -26*h**5 - 90*h**2 + 40*h + 90*h**4 - 65*h**3 + 22*h**5 + 0*h + 29*h**5 = 0.
-4, -1, 0, 2/5, 1
Let i(n) be the third derivative of n**5/480 - n**4/32 - 7*n**3/48 - 63*n**2 - 2*n. Factor i(b).
(b - 7)*(b + 1)/8
Let c = 14344 + -14341. Determine t, given that -2/13*t**2 - 2/13*t**c + 8/13*t + 8/13 = 0.
-2, -1, 2
Let q(o) be the first derivative of -o**3 + 0 - 15 + 7. Determine j so that q(j) = 0.
0
Let f(j) = -12*j**2 - 2*j + 2. Let c be f(1). Let t be -2 + 5 - (c/4 - -6). Factor 0 - 1/2*a**3 + t*a - a**2 + 3/2*a**4.
a**2*(a - 1)*(3*a + 2)/2
Let c = 18 + -482/27. Let r(t) be the first derivative of -c*t**3 + 2/45*t**5 + 1/18*t**4 + 0*t**2 + 7 + 0*t. Suppose r(j) = 0. What is j?
-2, 0, 1
Let s(j) be the first derivative of 1/30*j**5 - 1/12*j**4 + 8 + 0*j**3 + 3/2*j**2 + 0*j. Let i(z) be the second derivative of s(z). Factor i(g).
2*g*(g - 1)
Let 77*l + 2546*l**4 + 355*l + 108*l**2 - 2550*l**4 - 8*l**3 + 432 = 0. Calculate l.
-3, -2, 6
Suppose 31*h - 50*h + 57 = 0. Let i(k) be the second derivative of -1/12*k**4 + 1/3*k**h + 0*k**2 + 5*k + 0 - 1/20*k**5. Factor i(n).
-n*(n - 1)*(n + 2)
Let 20/9*r**2 - 5/3*r + 1/9*r**5 + 0*r**4 - 10/9*r**3 + 4/9 = 0. What is r?
-4, 1
Let y be 14/(-35)*(-1 - 4). Factor -2*u - 5*u**y + u**3 + 2*u**2 + 109*u**4 + u**5 - 106*u**4.
u*(u - 1)*(u + 1)**2*(u + 2)
Let v(g) be the second derivative of g**7/42 - g**5/4 + 2*g**3/3 + 7*g - 2. Suppose v(y) = 0. What is y?
-2, -1, 0, 1, 2
Suppose 2*r + 5 = 19. Factor r*s - 4*s**3 + 11 + 4*s**2 + 13*s + 1 + 0*s**2.
-4*(s - 3)*(s + 1)**2
Let v(y) be the first derivative of -1/36*y**3 + 0*y**2 - y - 4 - 1/72*y**4. Let l(g) be the first derivative of v(g). Factor l(p).
-p*(p + 1)/6
Let g(w) = 367*w + 370. Let y be g(-1). Factor 2/5 - 4/5*n**y + 0*n**2 + 4/5*n - 2/5*n**4.
-2*(n - 1)*(n + 1)**3/5
Let m(i) be the first derivative of i**5 - 15*i**4/4 - 5*i**3/3 + 15*i**2/2 - 73. Factor m(k).
5*k*(k - 3)*(k - 1)*(k + 1)
Let d(h) = -2*h**3 + 10*h**2 + 13*h - 6. Let m be d(6). Let p(s) be the first derivative of m*s**2 + 0*s - 1/2*s**4 + 4 + 4/3*s**3. Let p(b) = 0. What is b?
0, 2
Let m be (-3)/((-7 - 9)/4). Let f(a) be the second derivative of 3/20*a**5 - m*a**4 + 5*a + 0 + a**3 + 0*a**2. Find s, given that f(s) = 0.
0, 1, 2
Let n(p) be the second derivative of -5*p + 0 + 1/18*p**3 + 1/12*p**4 - 1/60*p**5 - 1/2*p**2. Find y, given that n(y) = 0.
-1, 1, 3
Let r(j) be the third derivative of -j**6/60 - 3*j**5/10 - 2*j**2 + 136*j. Find k such that r(k) = 0.
-9, 0
Suppose -4/7*o**3 - 612/7*o - 304/7 - 312/7*o**2 = 0. What is o?
-76, -1
Let b(u) be the third derivative of -u**5/12 - 5*u**4/3 + 84*u**2 + 3. Find r, given that b(r) = 0.
-8, 0
Let a = -116 - -130. Let f be (-4)/(1/(-1))*1. Factor -a - 3*t**2 - 3 + 3*t**f + 17.
3*t**2*(t - 1)*(t + 1)
Let w(v) = -6*v**2 + 29 + 30 + 2*v + 21*v - 66. Let q(u) = -3*u**2 + 12*u - 3. Let f(n) = -7*q(n) + 3*w(n). Solve f(m) = 0 for m.
0, 5
Let d be 11/(44/32) + 12/(-2). Let a(y) be the second derivative of -d*y - y**2 + 1/5*y**5 - 1/3*y**4 + 0 - y**3 + 1/21*y**7 + 1/5*y**6. Solve a(t) = 0 for t.
-1, 1
Solve -39/2*v - 1/2*v**3 - 27/2 - 13/2*v**2 = 0.
-9, -3, -1
Let x(u) = -u**2 + 9*u + 11. Let v be x(10). Let d be v/(15/22) + (-12)/18. Let d*n**2 + 2/5*n**3 + 0 + 0*n = 0. What is n?
-2, 0
Let w(q) be the first derivative of -q**6/9 - 11*q**5/24 - 5*q**4/8 - 16*q**3/3 - 48. Let m(o) be the third derivative of w(o). Factor m(y).
-5*(y + 1)*(8*y + 3)
Let n be 108/(-243) - 8/(-18). Let p(o) be the third derivative of 0 - 1/20*o**5 - 1/120*o**6 + n*o - 1/8*o**4 - 5*o**2 - 1/6*o**3. Find y such that p(y) = 0.
-1
Let h(b) = -b**2 + 24*b - 42. Let u be h(2). Let g(y) be the first derivative of 12 + 3*y - 3/4*y**4 + 3*y**3 - 9/2*y**u. Factor g(d).
-3*(d - 1)**3
Let o(h) be the second derivative of -h**5/150 - h**4/90 - h - 24. Suppose o(x) = 0. Calculate x.
-1, 