2.
2*d*(d + 2)/7
Let d(f) be the second derivative of -f**5/80 - 5*f**4/48 - f**3/12 + f**2 - 203*f. Factor d(v).
-(v - 1)*(v + 2)*(v + 4)/4
Let t(z) = -z**2 + 1. Let r(b) = 0 + 4 + 9*b + 0*b + 5*b**2. Let d(p) = r(p) + 2*t(p). What is v in d(v) = 0?
-2, -1
Factor -3*h**2 + 7*h**2 + 18*h**3 - 16*h**3 - 2*h**4 - 4 + 4.
-2*h**2*(h - 2)*(h + 1)
Let x be ((-42)/7 - -6)/1. Let y(z) be the third derivative of 0 + x*z + 3*z**2 - 1/30*z**5 - 1/12*z**4 + 0*z**3. Factor y(j).
-2*j*(j + 1)
Let k(v) be the third derivative of -v**6/360 - 11*v**5/10 - 1089*v**4/8 - 49*v**2 + 2*v. Factor k(d).
-d*(d + 99)**2/3
Suppose 36*o = 32*o + 12. Let v(j) be the third derivative of 1/36*j**4 - 3*j**2 + 0*j + 2/27*j**o + 1/270*j**5 + 0. Determine i, given that v(i) = 0.
-2, -1
Factor -12*n**5 - 10*n**5 - 12*n**4 - 24*n**3 + 5*n**2 - 21*n**2 - 20*n**5 + 40*n**5.
-2*n**2*(n + 2)**3
Let b = -813/25 + 10769/325. Factor 0 - 2/13*u**3 - b*u + 8/13*u**2.
-2*u*(u - 2)**2/13
Let n(p) be the third derivative of 0*p - 1/42*p**7 - p**2 + 0*p**5 + 0*p**4 + 0*p**6 + 1 + 0*p**3. Determine l, given that n(l) = 0.
0
Let h(s) be the second derivative of 3*s**4/20 - 4*s**3/5 + 3*s**2/2 - 181*s. Let h(u) = 0. What is u?
1, 5/3
Let o(l) = -4*l. Let j be o(0). Let z(d) be the second derivative of j - 1/2*d**2 + 0*d**3 - 6*d + 1/12*d**4. What is q in z(q) = 0?
-1, 1
Suppose -15*k + 0 - 1/4*k**3 - 61/4*k**2 = 0. What is k?
-60, -1, 0
Suppose 0 = 3*d - 160*q + 163*q, -d + q = 0. Determine c so that -6/7*c + d - 3/7*c**2 = 0.
-2, 0
Let s(a) be the second derivative of -a**8/210 - a**7/30 - a**6/10 - a**5/6 - a**4/6 + a**3/3 - 8*a. Let i(m) be the second derivative of s(m). Solve i(u) = 0.
-1, -1/2
Let s be 14/(10 - 8) - (-44)/(-8). Factor -s*f**2 - 3*f + 0.
-3*f*(f + 2)/2
Let m(x) be the first derivative of 3*x**4/16 - 19*x**3/12 - 7*x**2/4 + 12. Determine b, given that m(b) = 0.
-2/3, 0, 7
Let m(g) = -10*g**4 + 6*g**2 - 14*g - 6. Let d = 74 - 75. Let y(i) = -i**4 - i**2 - i - 1. Let n(w) = d*m(w) + 6*y(w). Determine f, given that n(f) = 0.
-2, 0, 1
Let p = 87 + -89. Let c be (-10)/(-25) + p/5. Solve 8/15*s + 8/3*s**4 - 16/5*s**2 + 18/5*s**3 + c = 0.
-2, 0, 1/4, 2/5
Factor 32/3*n + 4/3*n**2 + 64/3.
4*(n + 4)**2/3
Find q such that -2807 + 2*q**2 + 5944 - 3001 + 138*q = 0.
-68, -1
Let j(d) be the third derivative of -d**8/168 - 11*d**7/105 - 43*d**6/60 - 23*d**5/10 - 3*d**4 + 120*d**2 + 1. Determine r so that j(r) = 0.
-4, -3, -1, 0
Let q(s) be the first derivative of -2*s**5/5 - 4*s**4 + 6*s**3 - 232. Determine c, given that q(c) = 0.
-9, 0, 1
Let p = 1/17946 + 35881/197406. Let -2/11*a**2 + p*a + 4/11 = 0. Calculate a.
-1, 2
Factor 6/5*d**3 + 78/5*d - 48/5*d**2 - 36/5.
6*(d - 6)*(d - 1)**2/5
Suppose -z - 2*x = -7*x - 54, z + 3*x = 46. Let u = -97/2 + z. Factor 0*b - 1/2*b**3 + 0*b**2 - u*b**4 + 0.
-b**3*(b + 1)/2
Let d(i) be the second derivative of 1/8*i**4 - 1/6*i**3 - 1/40*i**5 + 0*i**2 + 0 - 15*i. Find f, given that d(f) = 0.
0, 1, 2
Factor -2/5*a**2 - 2/3 + 32/15*a.
-2*(a - 5)*(3*a - 1)/15
Let t = 7371/9245 + 5/1849. Solve -14/15*n**4 - t - 118/15*n**2 - 14/3*n - 74/15*n**3 = 0 for n.
-3, -1, -2/7
Suppose -3*q - 5*y = 8, -7*q = -2*q + 3*y - 8. Determine v so that 22*v**3 - 2*v**4 - 13*v**3 + 3*v**5 - 3*v**2 - 7*v**q = 0.
0, 1
Factor 1/2*v**3 + 21/2*v - 9 - 4*v**2.
(v - 3)**2*(v - 2)/2
Suppose 65 - 43 = -11*a + 44. Suppose -1/2*m**a + 2 - 1/2*m**3 + 2*m = 0. What is m?
-2, -1, 2
Let r(g) be the third derivative of g**5/140 + 29*g**4/56 + 39*g**3/7 + 805*g**2. Solve r(y) = 0 for y.
-26, -3
Suppose 3*j = 4*c + 319 - 326, -16 = -4*c. Factor 0 - 3/5*s**j - 1/5*s**2 + 4/5*s**4 + 0*s.
s**2*(s - 1)*(4*s + 1)/5
Suppose 42*x - 9*x = -53*x. Factor -3/8 + 3/8*q**2 + x*q.
3*(q - 1)*(q + 1)/8
Let g = -55 - -63. Suppose -4*n = -g - 8. Factor 8/7*p**3 + 2/7*p**n + 8/7*p + 2/7 + 12/7*p**2.
2*(p + 1)**4/7
Let g(p) be the second derivative of 3/5*p**5 + 6*p + 2*p**3 + 0 + 3/2*p**2 + 1/10*p**6 + 3/2*p**4. Factor g(u).
3*(u + 1)**4
Suppose 14 = d - 4*n, -3*n - 1 = 5*d - 2. Let o be (-800)/(-224) + (-20)/35. Factor 0 + 0*f + 1/4*f**o - 1/4*f**d.
f**2*(f - 1)/4
Let v(f) be the second derivative of f**7/126 - 4*f**6/45 + 4*f**5/15 - 7*f - 2. Factor v(k).
k**3*(k - 4)**2/3
Let s(k) be the second derivative of -k**8/26880 + k**7/1260 - k**6/180 - 2*k**4/3 + 35*k. Let o(j) be the third derivative of s(j). Factor o(p).
-p*(p - 4)**2/4
Let v(g) = 4*g**2 - 4*g - 2. Let z(t) = 5*t**2 - 5*t - 2. Let m(o) = 4*v(o) - 3*z(o). Factor m(b).
(b - 2)*(b + 1)
Let g be (-4)/10 - 9/((-810)/36). Find w such that g + 4/13*w + 2/13*w**4 - 6/13*w**2 + 0*w**3 = 0.
-2, 0, 1
Let i be ((-577)/36 + 16)*-4. Factor 0*z**2 - i*z**4 + 0*z - 1/9*z**3 + 0.
-z**3*(z + 1)/9
Let w be 100/28 + 8/(-14). Let o be w*(3 - 1 - 1). Determine h, given that o*h**2 - 6*h**3 + 7*h**3 + 2*h**3 = 0.
-1, 0
Let p(z) be the second derivative of 0 - 2/27*z**4 + 1/15*z**5 + 2/135*z**6 - 49*z - 1/189*z**7 - 2/3*z**2 - 13/27*z**3. Solve p(x) = 0 for x.
-1, 2, 3
Let r(i) be the first derivative of -2*i**5/55 + 9*i**4/11 - 62*i**3/33 - 18*i**2/11 + 64*i/11 - 475. Find p such that r(p) = 0.
-1, 1, 2, 16
Find n, given that -2/3*n**4 + 14*n**2 + 4/3*n**3 + 12*n + 0 = 0.
-3, -1, 0, 6
Let r(t) be the first derivative of -2/5*t**2 + 5 - 2/45*t**3 - 6/5*t. Find k, given that r(k) = 0.
-3
Let i be (-8)/20*-1*(-5)/(-120). Let o(d) be the third derivative of 2/15*d**5 - 1/3*d**4 + 0 - 8*d**2 + 0*d - i*d**6 + 0*d**3. Let o(k) = 0. Calculate k.
0, 2
Let u(j) = -j**3 + 7*j**2 - 10*j + 2. Let s be 2 + (-5)/((-25)/15). Let c be u(s). Factor 2/11*r**c + 2/11*r + 0.
2*r*(r + 1)/11
Suppose 4*p + p + 3*q = -14, -11 = 5*p + 2*q. Let m be 66/15 + p - 3. Solve -m*g**2 - 2/5 + 4/5*g = 0.
1
Let h(m) be the first derivative of 4*m**5/5 - m**4 - 16*m**3/3 + 8*m**2 - 334. Factor h(z).
4*z*(z - 2)*(z - 1)*(z + 2)
Let j(l) = -32*l**3 - 375*l**2 - 946*l + 303. Let c(s) = 65*s**3 + 750*s**2 + 1890*s - 605. Let m(d) = 3*c(d) + 5*j(d). Factor m(t).
5*(t + 5)*(t + 6)*(7*t - 2)
Let c(t) = -8*t**4 + 16*t**3 - 12*t + 8. Let y(a) = 23*a**4 - 47*a**3 + a**2 + 36*a - 24. Let l(b) = 11*c(b) + 4*y(b). Factor l(r).
4*(r - 2)*(r - 1)**2*(r + 1)
Suppose -j + 3*j = 5*t - 63, 4*t = -j + 1. Let f = j + 19. Let f*p**2 - 3*p + 3 + 6 + 0*p**3 - p**3 - 5*p**2 = 0. Calculate p.
-3, 1
Suppose -2*m - x = -77, 3*m + 0*x - 105 = -5*x. Factor 13*k**4 - 26*k - 4*k**2 - 10*k - m*k**2 - 8 + 3*k**4.
4*(k - 2)*(k + 1)*(2*k + 1)**2
Let i(p) = 3*p**4 + 24*p**3 - 67*p**2 + 40*p - 5. Let f(t) = 4*t**4 + 36*t**3 - 100*t**2 + 60*t - 8. Let x(k) = 5*f(k) - 8*i(k). Find y, given that x(y) = 0.
-5, 0, 1
Let j be (-42)/189 + (49/18 - 0). Let x(h) be the first derivative of 7*h**2 + j*h**4 - 2/5*h**5 - 6*h**3 - 4*h - 6. Factor x(t).
-2*(t - 2)*(t - 1)**3
Suppose -18/5 + 1/5*b - 1/5*b**3 + 18/5*b**2 = 0. What is b?
-1, 1, 18
Let w(i) be the second derivative of i**8/3780 - i**6/270 + i**5/135 + 25*i**3/6 - 5*i. Let g(d) be the second derivative of w(d). Factor g(o).
4*o*(o - 1)**2*(o + 2)/9
Suppose 5*c = -g + 159, 4*g + 60 = 5*c - 79. Suppose t - c = -z - t, -5*t + 130 = 5*z. Factor -38*r**3 + 2*r**4 + z*r - 5*r**2 + 35*r - 7*r**2 + 12*r**4 + 16.
2*(r - 2)**2*(r + 1)*(7*r + 2)
Let w(y) be the first derivative of -y**5 - 10 - 11*y**3 - 11/2*y**4 - 10*y**2 - 4*y. Factor w(d).
-(d + 1)**2*(d + 2)*(5*d + 2)
Let a(o) be the second derivative of -9*o - 1/180*o**6 + 0*o**2 + 1/40*o**5 + 0 - 1/18*o**3 + 1/72*o**4 - 1/252*o**7. Solve a(t) = 0.
-2, -1, 0, 1
Let b be (-9)/(-75)*5/45*6. Let s(v) be the first derivative of -b*v**5 - 12/5*v**2 + 2/5*v**4 + 4/15*v**3 + 5 - 18/5*v. Determine h, given that s(h) = 0.
-1, 3
Let p(x) be the first derivative of -x**5 + 5*x**4/2 + 5*x**3 - 20*x**2 + 20*x + 240. Determine g, given that p(g) = 0.
-2, 1, 2
Let w(k) = 12*k**3 - 2*k**2 - 46*k - 30. Let p(h) = -h**4 - h - 1. Let d(m) = 4*p(m) + 2*w(m). What is u in d(u) = 0?
-1, 4
Factor 18*s**5 - 6 - 44*s**5 + 42*s**5 - 96*s**3 + 116*s**2 - 32*s + 2*s**4.
2*(s - 1)**3*(s + 3)*(8*s + 1)
Let r be (-2)/(-4)*(-1 + 1). Let p = -52/35 + 16/7. Find w, given that p*w - 4/5*w**3 - 2/5 + r*w**2 + 2/5*w**4 = 0.
-1, 1
Let v = -71 - -26. Let m = v + 45. Solve -2/9*q**2 + m*q + 0 - 2/9*q**3 = 0 for q.
-1, 0
Let n(h) be the first derivative of h**4/2 + 6*h**3 + 8*h**2 + 58. Suppo