 = 0. Calculate w.
-2, 6
Let p(l) be the second derivative of -1/18*l**4 - 2*l + 0*l**2 + 1/90*l**5 + 0 + 2/3*l**3 - 1/1080*l**6. Let y(t) be the second derivative of p(t). Factor y(q).
-(q - 2)**2/3
Let g(b) be the second derivative of 0*b**5 - 2/5*b**2 + 2/15*b**4 + 0 - 2/75*b**6 + 0*b**3 + 8*b. Factor g(d).
-4*(d - 1)**2*(d + 1)**2/5
Let i(r) be the second derivative of -r**5/4 + 65*r**4/4 + 140*r**3 + 430*r**2 - 8*r - 3. Determine c so that i(c) = 0.
-2, 43
Find a such that -1/4*a**4 + 0 - 1/4*a**5 - 11/4*a**2 + 9/4*a**3 + a = 0.
-4, 0, 1
Let h(y) be the third derivative of -y**7/490 + y**6/70 - y**5/28 + y**4/28 - y**2 + 12*y. Solve h(x) = 0.
0, 1, 2
Let j(h) = 4*h**3 - 98*h**2 + 542*h - 490. Let d(o) = 12*o**3 - 295*o**2 + 1621*o - 1471. Let a(m) = 6*d(m) - 19*j(m). Factor a(u).
-4*(u - 11)**2*(u - 1)
Let a = 6070/10843 + 18/1549. Find v, given that -a + 1/7*v**2 + 3/7*v = 0.
-4, 1
Let v(z) be the first derivative of z**4/2 - 10*z**3/3 - 8*z**2 + 24*z + 79. Factor v(l).
2*(l - 6)*(l - 1)*(l + 2)
Suppose 13221*p - 56 = 13193*p. Factor 2/17*t**p + 8/17 + 8/17*t.
2*(t + 2)**2/17
Factor -1/2*q**4 + 12*q**3 - 12*q + 0 + 1/2*q**2.
-q*(q - 24)*(q - 1)*(q + 1)/2
Let y(w) be the third derivative of -w**9/136080 - w**8/45360 + w**7/5670 + w**5/5 - 14*w**2. Let m(n) be the third derivative of y(n). What is v in m(v) = 0?
-2, 0, 1
Let y(a) be the first derivative of a**4/4 - 2*a**2 - 42. Find i, given that y(i) = 0.
-2, 0, 2
Suppose 7 = -3*n + 13. Suppose r + n = 3. Factor r + 3/2*g + 1/2*g**2.
(g + 1)*(g + 2)/2
Factor 1/2*c - 1/6*c**2 + 0.
-c*(c - 3)/6
Let n(g) be the third derivative of -g**6/300 - g**5/10 + 11*g**4/20 - 17*g**3/15 + 211*g**2. Factor n(d).
-2*(d - 1)**2*(d + 17)/5
Determine g so that 0 + 6/5*g**3 - g**4 + 0*g + 1/5*g**5 + 0*g**2 = 0.
0, 2, 3
Let r(q) be the first derivative of -4*q**3/3 - 91*q**2/2 + 23*q - 378. Determine y so that r(y) = 0.
-23, 1/4
Let g(u) = -81*u - 322. Let i be g(-4). Solve 0*a + 5/2*a**3 - 5*a**i + 0 = 0.
0, 2
Let r(j) be the second derivative of j**7/105 - 2*j**6/75 - j**5/25 + 4*j**4/15 - 7*j**3/15 + 2*j**2/5 - 11*j + 2. Determine q, given that r(q) = 0.
-2, 1
Let y(b) = 88*b - 87. Let q be y(1). Determine r so that -1/4*r**3 - 2*r + 5/4*r**2 + q = 0.
1, 2
Let u(s) be the third derivative of -1/40*s**5 + 0 - 21*s**2 + 1/140*s**7 - 1/224*s**8 + 0*s**3 + 0*s + 1/80*s**6 + 0*s**4. Suppose u(j) = 0. Calculate j.
-1, 0, 1
Let h(o) be the second derivative of o**6/6 + 19*o**5/4 + 595*o**4/12 + 1225*o**3/6 + 446*o. Solve h(b) = 0 for b.
-7, -5, 0
Suppose 3*c - 628 = -2*r + r, 3*c - 638 = r. Let x = c - 209. Factor 1/2*v**2 + x*v + 3/2.
(v + 1)*(v + 3)/2
Let f(o) be the first derivative of o**6/2520 - o**5/210 + o**4/42 + 2*o**3 - 1. Let u(t) be the third derivative of f(t). What is w in u(w) = 0?
2
Let o = -177 - -181. Let p(h) be the first derivative of 0*h**2 + 0*h - 2/21*h**3 + 5 - 1/14*h**o. Factor p(i).
-2*i**2*(i + 1)/7
Let t(o) = o**3 - 4*o**2 - 12*o + 2. Let j be t(6). Suppose -9 = -j*f - f. Suppose -3/2*i**2 + f - 3/2*i = 0. Calculate i.
-2, 1
Let g(d) be the first derivative of 0*d - 11 - 136/15*d**3 - 8/5*d**2 - 63/5*d**4 + 162/25*d**5. Factor g(s).
2*s*(s - 2)*(9*s + 2)**2/5
Let s(z) be the second derivative of -z**6/75 + 3*z**5/50 + 8*z**4/15 + 4*z**3/5 + 2*z - 122. Solve s(n) = 0.
-2, -1, 0, 6
Let r = 12 - 8. Suppose 110*o + 12*o = 244. Factor -8/5*x**r - 2/5*x**2 + 0 + 0*x + o*x**3.
-2*x**2*(x - 1)*(4*x - 1)/5
Let t(x) be the first derivative of -3*x**4/4 + 8*x**3 - 63*x**2/2 + 54*x + 276. What is b in t(b) = 0?
2, 3
Let j(w) be the first derivative of w**3 - 27*w**2 + 243*w - 54. Find n, given that j(n) = 0.
9
Let j = 9754/1370119 - 8/3121. Let u = j + 1746/2195. Factor 0 + 2/5*v - u*v**2.
-2*v*(2*v - 1)/5
Let u = -19 - -44. Find o such that -63*o**3 - 5*o**4 - 79*o**4 - 32*o + o**2 - u*o**3 + 143*o**2 = 0.
-2, 0, 2/7, 2/3
Factor -36/5*f + 0 + 12/5*f**2 + 3/5*f**3.
3*f*(f - 2)*(f + 6)/5
Let f(a) = 3*a + 6. Let x be 224/(-160) - 4/(-10). Let u be f(x). Factor 0*v + 1/3*v**5 + 0*v**u + 0*v**2 + 0 + 1/3*v**4.
v**4*(v + 1)/3
Let o(w) be the second derivative of 2*w**7/21 + 2*w**6/3 + 8*w**5/5 + 4*w**4/3 + 45*w. Factor o(h).
4*h**2*(h + 1)*(h + 2)**2
Factor 58 + 1718*v**2 - 150 - 88*v - 1714*v**2.
4*(v - 23)*(v + 1)
Let n = -45861/2 + 22933. Factor 2 + 1/2*u**2 - n*u.
(u - 4)*(u - 1)/2
Let a(k) be the first derivative of -k**3/7 + 3*k**2 - 99*k/7 - 879. Factor a(f).
-3*(f - 11)*(f - 3)/7
Let q(d) be the third derivative of 1/3*d**3 + 0 + 1/4*d**4 + 1/15*d**5 + 0*d - 3*d**2. Suppose q(i) = 0. Calculate i.
-1, -1/2
Solve 20*i**2 - 4 + 16/3*i**3 + 32/3*i = 0 for i.
-3, -1, 1/4
Let p = -4073/2 + 2037. Factor -2*n**3 + p*n**4 + 5/2*n**2 - n + 0.
n*(n - 2)*(n - 1)**2/2
Let b(x) = -3*x**2 - 6*x - 12. Suppose 2*a + 0*a - 8 = 0. Suppose 4*u - 16 = 3*u - 2*l, 0 = a*u - 3*l - 9. Let s(p) = p. Let g(n) = u*s(n) - b(n). Factor g(h).
3*(h + 2)**2
Let b(p) be the first derivative of p**5/10 + 3*p**4/8 - 5*p**3/3 - 299. Factor b(o).
o**2*(o - 2)*(o + 5)/2
Let i(k) = -6*k + 58. Let z be i(9). Let l(m) be the third derivative of -1/30*m**5 - 1/12*m**z - 4*m**2 + 0*m**3 + 0*m + 0. Factor l(g).
-2*g*(g + 1)
Let b(t) = -5 - 12*t**2 - 11*t**2 + 2*t**3 - 5 + 20*t + 5*t**2. Let p(m) = 3*m**3 - 37*m**2 + 40*m - 21. Let a(z) = 5*b(z) - 2*p(z). Find g such that a(g) = 0.
1, 2
Let h(b) be the third derivative of -b**7/84 - 9*b**6/80 + 31*b**4/12 + 4*b**3 + 547*b**2. Find i, given that h(i) = 0.
-4, -3, -2/5, 2
Let b(n) = 4*n**2 - n. Let l be b(1). Let x be (l/(-12)*-1)/(6/12). Factor 1/4*g**3 + 1/4*g**5 + 0*g**2 - x*g**4 + 0*g + 0.
g**3*(g - 1)**2/4
Let j(h) = 11*h**2 - 153*h + 133. Let a(n) = -24*n**2 + 307*n - 262. Let p(o) = -3*a(o) - 7*j(o). Factor p(f).
-5*(f - 29)*(f - 1)
Solve 0 - 5/4*d**3 + d**4 - 9/4*d - 9/2*d**2 = 0.
-1, -3/4, 0, 3
Let f = 3/3722 - -1855/7444. Factor 0*u + u**2 + u**3 + 0 + f*u**4.
u**2*(u + 2)**2/4
Let z(r) be the second derivative of -r**10/15120 + r**9/7560 + r**8/672 + r**7/420 - 13*r**4/12 + 36*r. Let h(q) be the third derivative of z(q). Factor h(v).
-2*v**2*(v - 3)*(v + 1)**2
Let m(l) be the first derivative of l**6/2 - 6*l**5/5 - 39*l**4/4 - 10*l**3 - 1127. Suppose m(u) = 0. Calculate u.
-2, -1, 0, 5
Let h(g) = -24*g**2 + 17*g + 11. Let r(f) = 2*f**2 - f - 1. Let b(i) = -2*h(i) - 22*r(i). Solve b(s) = 0 for s.
0, 3
Let w(o) be the third derivative of o**9/26460 + o**8/5880 - o**6/630 - o**5/210 - o**4/4 + 33*o**2. Let a(m) be the second derivative of w(m). Solve a(q) = 0.
-1, 1
Let g = -35 + 41. Suppose -g*t + 5 = -7. Determine i so that 2*i - 4/3*i**2 + 4/3 - t*i**3 = 0.
-1, -2/3, 1
Let i(d) be the second derivative of -d**7/56 + 17*d**6/40 - 3*d**5/5 + 73*d + 1. Factor i(c).
-3*c**3*(c - 16)*(c - 1)/4
Suppose 0 = 13*w - 15*w + 6. Let n = -3/2 + 2. Suppose 0 - 1/2*m**2 + 0*m + n*m**w = 0. What is m?
0, 1
Let s(v) be the second derivative of -v**4/3 - 50*v**3 - 148*v**2 - 185*v. Find u such that s(u) = 0.
-74, -1
Let z(g) be the second derivative of -27*g**5/20 + 5*g**4 - 2*g**3 + 2*g + 11. Find m such that z(m) = 0.
0, 2/9, 2
Factor -58/9*j - 2/3*j**2 - 52/9.
-2*(j + 1)*(3*j + 26)/9
Let u(i) be the second derivative of 1/54*i**4 - 1/9*i**2 + 7*i + 0*i**3 + 0. Factor u(q).
2*(q - 1)*(q + 1)/9
Let b(x) = -9*x**4 + 100*x**3 + 39*x**2 - 113*x - 43. Let f(a) = 3*a**4 - 33*a**3 - 13*a**2 + 37*a + 14. Let g(s) = 4*b(s) + 13*f(s). Solve g(i) = 0 for i.
-1, -1/3, 1, 10
Let b = 12 + -8. Factor -22*i - 2 + 2 + b*i**3 + 38*i - 16*i**2.
4*i*(i - 2)**2
Let i = 8962/3 - 2984. Factor 1/3*o**3 - 1/3*o + 10/3*o**2 - i.
(o - 1)*(o + 1)*(o + 10)/3
Let d = -1058 - -7444/7. Let h = 128/21 - d. Factor -8/9 + 0*t + 2/9*t**3 + h*t**2.
2*(t - 1)*(t + 2)**2/9
Let u(j) = -j**2 + 73*j + 117. Let y(m) = -2*m**2 + m - 1. Let d(h) = -u(h) + 3*y(h). Solve d(l) = 0.
-12, -2
Let j be (-21)/(-21) - (-6 + 7). Solve j + 2/9*m**3 + 4/9*m**4 + 0*m**2 + 2/9*m**5 + 0*m = 0 for m.
-1, 0
Suppose -4*o + 8 = 0, 0*o - 10 = -4*m + o. Let 8*y**4 + 4*y**5 + 12*y**m - 8*y**2 - y**3 - 15*y**3 = 0. What is y?
-2, -1, 0, 1
Let t(z) be the third derivative of -z**5/240 - z**4/16 - 5*z**3/24 + 7*z**2 + 22. Factor t(n).
-(n + 1)*(n + 5)/4
Find x, given that 2*x**2 + x**4 - 3*x**2 - 2*x**3 - 3361*x - x**2 + 1 + x**5 + 3362*x = 0.
-1, 1
Let p = 24