)**3*(d + 3)/3
Determine m so that 0 + 0*m + 4/5*m**3 - 4/5*m**4 + 0*m**2 = 0.
0, 1
Factor 18/5*t**3 + 0 + 2*t**4 + 2/5*t**5 + 14/5*t**2 + 4/5*t.
2*t*(t + 1)**3*(t + 2)/5
Suppose 0 = -9*w - w + 3*w. Let s(j) be the third derivative of -11/96*j**4 + w*j + 3/80*j**5 + 1/12*j**3 + 0 - j**2. Factor s(u).
(u - 1)*(9*u - 2)/4
Factor 112/9 - 388/9*z + 266/9*z**2 + 10/9*z**3.
2*(z - 1)*(z + 28)*(5*z - 2)/9
Let g = 7/62 - -881/434. Let b = 2/71 - -412/497. Find t such that -12/7*t**2 - b - 3/7*t**3 - g*t = 0.
-2, -1
Let u be (-96)/240 - (-1)/1. Let p(n) = 3*n**2 - n + 1. Let a be p(1). Factor -1/5*w - 3/5*w**a + 0 + 1/5*w**4 + u*w**2.
w*(w - 1)**3/5
Let r(v) be the second derivative of -v**6/6 + 11*v**5/4 + 125*v**4/12 + 65*v**3/6 + 85*v - 2. Suppose r(m) = 0. Calculate m.
-1, 0, 13
Let x(h) = 46*h**4 - 60*h**3 - 1188*h**2 - 4195*h - 4519. Let r(l) = -8*l**4 + 10*l**3 + 198*l**2 + 699*l + 753. Let y(f) = 34*r(f) + 6*x(f). Factor y(q).
4*(q - 14)*(q + 3)**3
Let m = -37 + 58. Solve -9 + 5*z**2 - 2*z + m*z**4 + 54*z**3 - z**5 - 11*z**5 - 17*z**2 - 40*z = 0 for z.
-1, -1/4, 1, 3
Suppose -33 = 4*p - 53. Suppose -p*d + 25 = -5*s, -3*d - 2*s = -s - 3. Factor -4/3 + 38/3*u - 33*u**d + 27/2*u**3.
(u - 2)*(9*u - 2)**2/6
Let r be 14/12 + 4 + -1. Let i(t) be the first derivative of -16/3*t - 76/9*t**3 - r*t**4 - 16/15*t**5 - 1/9*t**6 + 1 - 28/3*t**2. What is n in i(n) = 0?
-2, -1
Let w(o) be the second derivative of -5*o**7/42 - o**6/2 + 9*o**5/4 + 45*o**4/4 + 15*o. Suppose w(l) = 0. Calculate l.
-3, 0, 3
Determine c so that -10/7*c**4 + 0 + 10/7*c**2 + 2/7*c**5 - 8/7*c + 6/7*c**3 = 0.
-1, 0, 1, 4
Factor 28*n - 92*n**4 - 96*n**4 - 12 + 8*n**3 + 187*n**4 - 23*n**2.
-(n - 3)*(n - 2)**2*(n - 1)
Let s(i) be the second derivative of -69/20*i**5 - 15*i + 0*i**2 + 0 - 2*i**3 - 3/14*i**7 - 4*i**4 - 7/5*i**6. What is u in s(u) = 0?
-2, -1, -2/3, 0
Let k = -492 + 1079/2. Let d = -47 + k. Suppose 1/2*j + 1/2*j**2 - 1/2*j**3 - d = 0. Calculate j.
-1, 1
Let n(q) = -8*q**4 + 2*q**3 - 2*q + 8. Let b(j) = 9*j**4 - j**3 - j**2 + j - 8. Let u(p) = -6*b(p) - 7*n(p). Factor u(k).
2*(k - 2)**2*(k - 1)*(k + 1)
Solve 6*d**2 + 17*d + 2*d**2 + 10 - 11*d**3 - 12*d**3 + 24*d**3 = 0 for d.
-5, -2, -1
Suppose 161*i = 159*i - 2*f - 4, i - 10 = 2*f. Let -7/3*u**4 + 0 + 16/3*u**i + 5/3*u**3 + 4/3*u = 0. Calculate u.
-1, -2/7, 0, 2
Let s(w) be the first derivative of -w**6/30 + w**5/15 + w**4/3 + 8*w**2 + 3. Let h(y) be the second derivative of s(y). Solve h(x) = 0 for x.
-1, 0, 2
Let s(q) be the second derivative of -q**8/960 - q**7/672 + q**6/720 - 3*q**3/2 - 13*q. Let k(b) be the second derivative of s(b). Find t, given that k(t) = 0.
-1, 0, 2/7
Let v(z) = -z**2. Let r(k) = 2*k**2 + k**2 - k**2. Let o(h) = h**3 - 7*h**2 - 38*h + 186. Let s be o(9). Let m(a) = s*v(a) + 2*r(a). Let m(g) = 0. What is g?
0
Let q(r) be the second derivative of r**7/42 - r**6/10 - r**5/5 + 4*r**4/3 - 8*r**2 + 202*r. Factor q(a).
(a - 2)**3*(a + 1)*(a + 2)
Let g(u) be the first derivative of u**6/280 + u**5/140 - u**4/56 - u**3/14 + u**2/2 - 4. Let m(a) be the second derivative of g(a). Factor m(h).
3*(h - 1)*(h + 1)**2/7
Suppose 2*d - 4 = d. Suppose l = d*l. Find t such that l*t**2 - 4/11 + 2/11*t**3 - 6/11*t = 0.
-1, 2
Suppose -r - 5*s + 1 = -6, 0 = r - 2*s. Suppose -x - 3 = -5*m, 0 = r*x - x - 2*m. Factor 1 + x*k**2 - 1/2*k**3 - 5/2*k.
-(k - 2)*(k - 1)**2/2
Factor -3*p**3 - 2*p**3 + 1659*p**5 + 3*p**3 - 1657*p**5.
2*p**3*(p - 1)*(p + 1)
Let z(j) be the first derivative of 5*j**4/4 + 15*j**3 - 120*j**2 + 260*j + 229. Factor z(u).
5*(u - 2)**2*(u + 13)
Suppose 18*c**5 + 1431*c**3 + 444*c**4 + 576*c**2 - 349*c**3 + 88*c + 5*c**5 - 6*c**5 + c**5 = 0. Calculate c.
-22, -2, -1/3, 0
Let o = 15 - 6. Suppose -m + 4*m = o. Find i, given that -3*i**3 + i + i + i**3 - 2*i**2 + 2 + 0*i**m = 0.
-1, 1
Let j = 1092 - 19651/18. Let p = -7/90 + j. Factor -3/5*z + p*z**2 - 2/5 + 1/5*z**4 + 3/5*z**3.
(z - 1)*(z + 1)**2*(z + 2)/5
Let l(y) be the second derivative of 0 + 0*y**2 - 29*y - 1/3*y**3 - 1/2*y**4 - 1/5*y**5. Find w such that l(w) = 0.
-1, -1/2, 0
Let o be (8715/(-498))/((-14)/6). Find c, given that -25/2*c**5 - 10 + 5/2*c**2 - 30*c + o*c**4 + 85/2*c**3 = 0.
-1, -2/5, 1, 2
Suppose 56 = -5*y + 1. Let v(x) = -x**2 - 12*x - 6. Let k be v(y). What is n in -2 - 4 - 10*n + 8*n**3 - n**k + 3*n**5 + 2 - 4*n**2 + 8*n**4 = 0?
-2, -1, 1
Find h such that -19*h**3 + 16*h**2 - 3/2*h**5 - 23/2*h**4 + 16*h + 0 = 0.
-4, -2/3, 0, 1
Let g(h) be the first derivative of -8/5*h - 28/15*h**2 + 1/10*h**4 - 27 - 26/45*h**3. Factor g(x).
2*(x - 6)*(x + 1)*(3*x + 2)/15
Let i(b) = -b**3 + 11*b**2 + 15*b - 8. Let k be i(12). Factor -2*v**5 - 99*v**3 - v**5 - 120*v**2 + 21*v - 69*v - k*v**4 - 2*v**4.
-3*v*(v + 1)**2*(v + 4)**2
Let a(s) = -s + 5. Let o be a(1). Factor 2*i**3 - 3*i**2 + o*i**2 + 5*i**2 + 6*i + 2*i**2.
2*i*(i + 1)*(i + 3)
Let d be (-25)/(-150) - (-2)/(-15). Let m(s) be the third derivative of 1/30*s**3 - 1/300*s**5 - d*s**4 + 0*s + 1/150*s**6 + 0 - 7*s**2. Factor m(k).
(k - 1)*(k + 1)*(4*k - 1)/5
Let p = 25993/24 - 1083. Let u(c) be the first derivative of 0*c + 3/16*c**4 - 1/12*c**3 - 1/4*c**2 - p*c**6 + 1/20*c**5 - 7. Suppose u(b) = 0. Calculate b.
-1, 0, 1, 2
Solve -3/8*d**2 - 147/2 - 21/2*d = 0 for d.
-14
Suppose 5*u = -p + 22, -5*p - 3*u = -6 - 16. Factor -4*g**3 + 41*g**2 - 44*g**p + 7*g**3.
3*g**2*(g - 1)
Let i be (-150)/(-25) - (-3 + 5). Factor 3/5*f**5 - 3*f**3 - 12/5 - 3/5*f**2 + 24/5*f + 3/5*f**i.
3*(f - 1)**3*(f + 2)**2/5
Let 0*l - 24/5*l**3 - 32/5*l**2 - 4/5*l**4 + 0 = 0. Calculate l.
-4, -2, 0
Suppose 5*k + 64 = -16. Let y(a) = a**2 + 18*a + 34. Let i be y(k). Factor 0*c - 3/8*c**5 - 7/8*c**3 + 1/4*c**i + 0 + c**4.
-c**2*(c - 1)**2*(3*c - 2)/8
Let u(x) = -6*x**2 + 69*x - 29. Let j be u(11). Suppose 2*g**2 - g + 3/4*g**3 - 7/4*g**j + 1/2*g**5 + 0 = 0. Calculate g.
-1, 0, 1/2, 2
Let j(g) be the third derivative of g**6/210 + g**5/105 - 2*g**4/21 - 8*g**3/21 - 45*g**2. Factor j(v).
4*(v - 2)*(v + 1)*(v + 2)/7
Let b(n) be the first derivative of n**3/7 - 57*n**2/14 + 30*n - 966. Factor b(o).
3*(o - 14)*(o - 5)/7
Determine b, given that -40 - 184*b + 22/5*b**4 - 52*b**3 + 942/5*b**2 = 0.
-2/11, 2, 5
Let q(g) be the first derivative of -g**4/4 - 2*g**3 - 4*g**2 - 138. Suppose q(w) = 0. What is w?
-4, -2, 0
Suppose -127*g - 99 = -130*g. Solve -18 + 2*j**2 - 5*j**2 + g*j - 48*j = 0 for j.
-3, -2
Factor 38/9 + 2/9*r**2 - 40/9*r.
2*(r - 19)*(r - 1)/9
Let u(p) be the second derivative of 5*p**4/48 + p**3/24 - p**2/2 + 6*p + 25. Factor u(a).
(a + 1)*(5*a - 4)/4
Let l be ((-40)/(-25) - 2)/(2/(-10)). Factor 545 + 64*h - 33 - 43*h**2 + 45*h**l.
2*(h + 16)**2
Factor 8/9*w**2 + 0 - 4/9*w**3 + 16/9*w - 2/9*w**4.
-2*w*(w - 2)*(w + 2)**2/9
Suppose -f = -6*f + 10. Let -f - 3 - 4*i**2 + 1 - 8*i = 0. Calculate i.
-1
Let i = -15 + 23. Factor 11 - 18*b**2 + 14*b**2 + 4 + i*b - 3.
-4*(b - 3)*(b + 1)
Let p = -3 - -6. Let g = 851/180 - 257/60. Solve g*d + 2/9*d**p + 0 + 2/3*d**2 = 0.
-2, -1, 0
Let z(k) be the second derivative of -k**4/27 - 28*k**3/27 + 8*k - 1. Factor z(p).
-4*p*(p + 14)/9
Let x be -3 + (10/30)/(2/6). Let n be 0 + 2 - x/(-6). Factor n*l**3 - 1/3*l**5 - 1/3*l**4 - 8/3*l + 4/3 + 1/3*l**2.
-(l - 1)**3*(l + 2)**2/3
Find n, given that 44/13*n - 16 + 2/13*n**2 = 0.
-26, 4
Let b be (-8 - -3) + 6 + -3. Let k be 1 + b/3 - 61/(-6). Solve -27/2*h**3 + k*h**2 + 0 + 3*h = 0 for h.
-2/9, 0, 1
Let n(x) = -x**3 + x**2 + x. Let i = 162 - 157. Let g(j) = -j**4 + 2*j**3 + 32*j**2 + 34*j + 10. Let v(q) = i*n(q) - g(q). Factor v(s).
(s - 10)*(s + 1)**3
Let w(i) = -95*i**2 - i + 1. Let o be w(1). Let q be o/133*14/(-6). Suppose q*u - 7/3*u**2 + 2/3 = 0. Calculate u.
-2/7, 1
Let g(d) be the first derivative of -d**3/3 + 3*d**2 - 9*d - 18. Factor g(b).
-(b - 3)**2
Let v(j) be the third derivative of -j**8/784 + 3*j**6/140 + 2*j**5/35 + 3*j**4/56 - 5*j**2 - 4. Factor v(g).
-3*g*(g - 3)*(g + 1)**3/7
Let g be -3*5/3*3/(-5). Factor 7*u**2 - 383 - g*u**2 + u + 379 - u**3.
-(u - 4)*(u - 1)*(u + 1)
Let d = -60 - -68. Solve 32 + d*v**2 - v**2 - 5*v**2 - 16*v = 0 for v.
4
Let p(q) be the first derivative of q**5/5 - 3*q**4/4 - 2*q**3/3 + 6*q**2 - 8*q - 206. Factor p(y).
(y - 2)**2*(y - 1)*(y + 2)
Let y(x) be the third derivative of -4*x**2 - 1/12*x**5 + 5/24*x**6 + 