0 - 3/2*y**5.
-3*y*(y - 1)**2*(y + 1)**2/2
Let t(p) be the second derivative of p**6/10 + 9*p**5/10 + 13*p**4/4 + 6*p**3 + 6*p**2 + 558*p. Factor t(h).
3*(h + 1)**2*(h + 2)**2
Suppose -z - 14 = -26. Let d be ((-56)/z)/(2/(-3)). Let 2*l**4 - 35*l**5 - d*l**4 + 32*l**5 - l**4 = 0. What is l?
-2, 0
Let i(s) be the first derivative of -2/45*s**5 - 16/9*s - 15 - 4/3*s**3 + 20/9*s**2 + 7/18*s**4. Factor i(v).
-2*(v - 2)**3*(v - 1)/9
Let l(h) be the first derivative of -128*h**5/35 - 24*h**4/7 - 6*h**3/7 + 60. Factor l(q).
-2*q**2*(8*q + 3)**2/7
Let k be (33/12 - 3/4)/2. Let c(f) = -8*f**5 - 4*f**4 + 4*f**3 - 6*f. Let y(u) = 0*u**4 + 0*u - u**4 - u**5 - u. Let r(t) = k*c(t) - 6*y(t). Factor r(x).
-2*x**3*(x - 2)*(x + 1)
Let a(z) = z**5 + 2*z**3 - 4*z**2 - 5*z + 4. Let j(b) = 3*b**5 - b**4 + 4*b**3 - 8*b**2 - 12*b + 9. Let h(n) = -5*a(n) + 2*j(n). Solve h(y) = 0.
-1, 1, 2
Let h(d) = -d**2 - 6*d - 6. Let x be h(-4). Factor -116*p**2 + 8*p + 115*p**2 - x*p.
-p*(p - 6)
Find y such that -y**5 + 5/3*y - 4/3*y**2 - 20/3*y**4 - 26/3*y**3 + 0 = 0.
-5, -1, 0, 1/3
What is v in 16/7 - 2*v**5 + 44/7*v**2 - 24/7*v**4 + 50/7*v**3 - 72/7*v = 0?
-2, 2/7, 1
Solve -1050*i + 1323*i**3 + 949*i**2 + 184*i**4 + 15*i**5 + 65*i**4 + 475*i**2 + 631*i**2 = 0 for i.
-7, -5, 0, 2/5
Factor 0 + 1/4*a**2 - 13/4*a.
a*(a - 13)/4
Let t(y) be the second derivative of -7*y**4/4 + 11*y**3 - 9*y**2/2 - y - 221. Factor t(g).
-3*(g - 3)*(7*g - 1)
Let m = 30 + -30. Suppose m = -6*j + 12*j. Factor 0*y**2 + 0 + j*y - 2/3*y**3.
-2*y**3/3
Let q = -16 - -26. Suppose -5*u = -10*u + q. Let -4*n**u + 12 + n**2 - 3 + 5*n + n = 0. Calculate n.
-1, 3
Let i(l) = -78*l - 312. Let w be i(-4). Factor w*h**2 + 3/2*h**4 - 3/2 - 3*h**3 + 3*h.
3*(h - 1)**3*(h + 1)/2
Let i(d) = 51*d + 120. Let t(b) = -5*b - 12. Let k(j) = 2*i(j) + 21*t(j). Let o be k(-5). Determine q so that 3*q**o - 8*q**2 - 4*q**2 + q + 11*q = 0.
0, 2
Let v be ((-3)/2)/(11/(-4) - -2). Let i = -1 - -4. Factor -d**2 - v*d**2 + 7*d**i - 10*d**3.
-3*d**2*(d + 1)
Determine q so that 21 + 39/2*q - 3/2*q**2 = 0.
-1, 14
Let u(s) = s**2 - 2*s - 35. Let m(v) = -v**3 + 3*v + 35. Let j(h) = -6*m(h) - 7*u(h). Let k(b) be the first derivative of j(b). Factor k(f).
2*(f - 1)*(9*f + 2)
Let o = -1067 - -1058. Let b(d) = 5*d**3 - 2*d - 2. Let q(w) = -1 + 9*w - 21*w**3 + 6 + 4. Let x(f) = o*b(f) - 2*q(f). Solve x(r) = 0.
0
Let l(g) be the third derivative of 0*g + 0*g**3 + 0 + 1/180*g**6 + 0*g**4 + 8*g**2 - 1/315*g**7 + 1/45*g**5. Determine u so that l(u) = 0.
-1, 0, 2
Let z(v) be the third derivative of v**8/60480 - v**7/5040 - v**5/4 - 6*v**2. Let h(y) be the third derivative of z(y). Factor h(u).
u*(u - 3)/3
Factor 10*z - 1/2*z**2 - 51/2.
-(z - 17)*(z - 3)/2
Let v = -516 + 518. Let u(j) be the first derivative of -7 + j**4 + 0*j + 2*j**v - 8/3*j**3. Determine w so that u(w) = 0.
0, 1
Let g(h) be the third derivative of -h**5/120 + h**4/12 - 29*h**2. Factor g(u).
-u*(u - 4)/2
Let m = -1/555 + -5521/16095. Let b = m - -1674/145. Let 10*u**4 + 138/5*u**2 - b*u + 8/5 - 28*u**3 = 0. What is u?
2/5, 1
Suppose 587 = -77*s + 741. Solve -6/7*c**s + 2/7*c**3 - 2/7*c + 6/7 = 0.
-1, 1, 3
Solve 7*m - 5*m**5 - 70*m**3 - 160*m**2 + 97*m**4 - 12*m**4 - 9*m + 2*m = 0.
-1, 0, 2, 16
Let t(n) be the second derivative of 0 + 5/24*n**3 + 1/48*n**4 - 4*n + 0*n**2. Factor t(p).
p*(p + 5)/4
Let v(o) be the third derivative of 0 - 1/24*o**6 + 1/20*o**5 + 0*o - 17*o**2 + 0*o**3 + 1/24*o**4 - 1/70*o**7 + 1/84*o**8. Factor v(l).
l*(l - 1)**2*(l + 1)*(4*l + 1)
Let n(h) be the second derivative of 5*h**4/12 + 175*h**3/3 + 109*h. Factor n(u).
5*u*(u + 70)
Let b(d) be the second derivative of -2*d**6/45 + d**5/3 - 2*d**4/3 + 25*d + 2. Factor b(m).
-4*m**2*(m - 3)*(m - 2)/3
Let y(a) be the first derivative of a**8/140 - a**7/105 - a**6/90 + 6*a**3 - 29. Let x(t) be the third derivative of y(t). Factor x(p).
4*p**2*(p - 1)*(3*p + 1)
Let g(q) be the first derivative of -2*q**5/35 + q**4/2 + 16*q**3/21 - 99. Determine j so that g(j) = 0.
-1, 0, 8
Let u = 42 + -51. Let m(r) = -r**2 + 4*r - 3. Let i(o) = -4*o**2 + 16*o - 12. Let c be 6*(2/6)/1. Let x(p) = c*i(p) + u*m(p). Find k, given that x(k) = 0.
1, 3
Let c(b) = -6*b**2 + 84*b + 80. Let v(q) = 2*q**2 + 3. Let n(i) = c(i) + 2*v(i). What is p in n(p) = 0?
-1, 43
Suppose 5*u + 2*b - 28 = 0, 4*u + 7*b - 6*b - 20 = 0. Suppose -u*a - 8 = -3*h, -2*h + 4*a + 9 - 1 = 0. Factor 8/13*r**2 + h - 2/13*r - 8/13*r**3.
-2*r*(2*r - 1)**2/13
Let v be (-1 + 11/20)/((-12)/35). Let m = -9/16 + v. Factor -m*i + 0 + 3/4*i**2.
3*i*(i - 1)/4
Let u be 54/45*6/8*5. Factor -3*g - u - 1/2*g**2.
-(g + 3)**2/2
Factor -5*z**2 + 17*z - 14*z - 41*z + 60 - 17*z.
-5*(z - 1)*(z + 12)
Solve 4*j**2 - 4 - 9*j + 31 - 3*j**3 - 19*j**2 = 0 for j.
-3, 1
Let v(o) be the third derivative of -o**7/1260 + 7*o**6/720 - o**5/90 - o**4/12 + 103*o**2. Find k, given that v(k) = 0.
-1, 0, 2, 6
Suppose 4*b + 0*b - 36 = 5*j, -7 = j - b. Let x be -2*1*36/j. Factor -36*z**2 - 44*z**4 - 26*z**3 - 34*z**3 - 12*z**5 + z - x*z.
-4*z*(z + 1)**3*(3*z + 2)
Suppose -135 = -2*p + 5*y, 2*y - 195 = -3*p + 7*y. Let m be 1/4 + p/16. Solve 0 + 2/9*j**2 + 4/9*j**3 + 0*j + 2/9*j**m = 0.
-1, 0
Let r(s) be the first derivative of s**8/1120 + s**7/280 - s**6/60 - s**5/40 + 3*s**4/16 - 10*s**3/3 + 6. Let h(a) be the third derivative of r(a). Factor h(o).
3*(o - 1)**2*(o + 1)*(o + 3)/2
Let d(g) be the second derivative of -g + 2/45*g**4 + 0*g**3 + 0 + 4/75*g**5 + 0*g**2 + 1/315*g**7 + 1/45*g**6. Let d(f) = 0. What is f?
-2, -1, 0
Let 4*w - 2/9*w**2 - 18 = 0. Calculate w.
9
Let x(h) = -h**2 - 2*h + 80. Let f be x(0). Let m be (96/f)/((-6)/(-20)). Find a such that -1 + 4*a**4 + m*a + 15*a**2 - 3*a**2 + 1 + 12*a**3 = 0.
-1, 0
Solve 28*p**2 + 893*p**5 - 20*p**3 - 897*p**5 + 24*p + 6*p**3 - 18*p**4 - 16 = 0.
-2, 1/2, 1
Let a(r) be the first derivative of -1/33*r**6 + 4/33*r**3 - 2/55*r**5 + 6 - 1/11*r**2 + 1/11*r**4 - 2/11*r. Factor a(p).
-2*(p - 1)**2*(p + 1)**3/11
Let r = -224 - -154. Let j be 130/14 + 20/r. Let 8 + 90*h + j*h**2 + 0 + 16 + 12*h**2 = 0. What is h?
-4, -2/7
Suppose 764 - n**2 + 8*n - 1525 + 761 = 0. What is n?
0, 8
Let k(n) = -6*n - 5 - 5*n + 4*n - n + n**2. Let i be k(9). Factor -q**i + 1 - 2*q + 2*q**3 + 2*q**4 - 2.
(q - 1)*(q + 1)**3
Factor 9/2*b - 10 - 1/2*b**2.
-(b - 5)*(b - 4)/2
Factor 5/4 + 0*x - 5/4*x**2.
-5*(x - 1)*(x + 1)/4
Let x(m) be the second derivative of -4*m**7/735 + 3*m**6/140 - m**5/35 + m**4/84 + 7*m**2 + 7*m. Let y(u) be the first derivative of x(u). Factor y(w).
-2*w*(w - 1)**2*(4*w - 1)/7
Solve 230/9*v**2 - 125/3 + 17/9*v**4 - 25/9*v - 1/9*v**5 - 34/3*v**3 = 0 for v.
-1, 3, 5
Let x = -67/18 - -529/126. Let u(a) be the first derivative of 1/21*a**6 - 3/14*a**4 - 2/35*a**5 + x*a**3 + 0*a - 2/7*a**2 - 6. Factor u(z).
2*z*(z - 1)**3*(z + 2)/7
Suppose 32*q + 7*q**3 - 5 - 23 + 10*q**3 - 25*q**3 + 9*q**3 - 11*q**2 = 0. What is q?
2, 7
Suppose 22/5*q**2 + 18/5 + 38/5*q + 2/5*q**3 = 0. What is q?
-9, -1
Let w be 6*3*1/6. Let k(g) be the first derivative of -9 - 6*g**w - 30*g**2 - 10*g**4 - 26*g**3 - 8*g - g**4. Solve k(i) = 0.
-1, -2/11
Let z be 0 - 3 - (-1 + 11). Let y = -11 - z. Factor 4*s**2 - 3*s**y - 3*s**2.
-2*s**2
Let y(w) be the third derivative of 0 + 0*w**4 + 29*w**2 + 1/60*w**6 + 0*w + 1/60*w**5 + 1/210*w**7 + 0*w**3. Factor y(q).
q**2*(q + 1)**2
Suppose 5*k + y = 6, -4*k + 5*y + 2 = 3. Let q(s) = -5*s**3 + 11*s**2. Let i(z) = z**3 + z**2. Let b(d) = k*q(d) + i(d). Factor b(c).
-4*c**2*(c - 3)
Let s(h) = 136*h - 10334. Let q be s(76). Factor -9/4*d - 3/8*d**q + 0.
-3*d*(d + 6)/8
Let g(k) be the first derivative of k**5/35 + k**4/7 + k**3/7 - 2*k**2/7 - 4*k/7 + 24. Factor g(m).
(m - 1)*(m + 1)*(m + 2)**2/7
Suppose -3*b + 7*y + 328 = 3*y, 4*y = -4*b + 484. Let s = 118 - b. Factor -2/9*n**s - 8/9*n - 8/9.
-2*(n + 2)**2/9
Let u = 16 - 16. Suppose 3*x = -3*x + 12. Factor 3/5*y**3 + 3*y**5 + 6/5*y**x - 24/5*y**4 + u*y + 0.
3*y**2*(y - 1)**2*(5*y + 2)/5
Let l(q) be the first derivative of -45*q**4/2 + 173*q**3/3 - 61*q**2/2 + 6*q + 109. Factor l(f).
-(2*f - 3)*(5*f - 1)*(9*f - 2)
Let n be (2/(-4))/(5 - (-2626)/(-524)). Let a = 44 - n. Factor 0 + a*f**3 + 0*f**2 - 1/3*f.
f*(f - 1)*(f + 1)/3
Factor 0 + 0*j + 0*j**2 - 3*j**3 - 3/4*j**5 + 3*j**4.
-3*j**3*(j - 2)**2/4
Let i = -2979 - -2979