. Factor m(v).
-2*v**2*(v - 1)**2*(v + 4)
Suppose 5*j + 8 - 23 = 0. Factor 0*v**2 + 0*v**2 + 8*v - 4*v**j + v**2 - 5*v**2.
-4*v*(v - 1)*(v + 2)
Let x be 1*((-120)/(-36) - (-1)/(-3)). Suppose -n**3 + 0*n**3 + 4*n**3 - n**4 - 5*n**x = 0. Calculate n.
-2, 0
Let o = -15 + 18. Let b = -2/3257 - -52122/16285. Let b*n - 38/5*n**2 + 14/5*n**o + 8/5 = 0. Calculate n.
-2/7, 1, 2
Let m(l) be the second derivative of l**6/180 + l**5/90 + 15*l**2/2 - 16*l. Let i(j) be the first derivative of m(j). Determine g so that i(g) = 0.
-1, 0
Let m be 0 - 7*(0 - 138). Let p = -6750/7 + m. Suppose -15/7*w + 6/7 - 3/7*w**3 + p*w**2 = 0. Calculate w.
1, 2
Let u(t) = 2*t - 3. Let p be u(2). Suppose h - 3 = 2*r - 4, r - 2*h = -p. Solve -d**4 + 2*d**3 + 67*d - d**5 - r - 68*d + 0*d**2 + 2*d**2 = 0 for d.
-1, 1
Let y(v) be the second derivative of -v**7/147 + v**6/35 + v**5/10 - 9*v**4/14 + 6*v**3/7 - 10*v - 14. Find h such that y(h) = 0.
-3, 0, 1, 2, 3
Let t = 2 - -1. Factor -333*d**3 + 6*d**2 + 338*d**t + 10*d + 9*d**2.
5*d*(d + 1)*(d + 2)
Let m(s) = s**3 + 6*s**2 + 11*s + 7. Let i be m(-4). Let d(a) = -a**2 - 4*a. Let z(o) = 3*o**2 + 8*o. Let t(r) = i*d(r) - 2*z(r). Factor t(x).
-x*(x - 4)
Suppose 6*a - 24 = -2*a. Let -12*l**a + 2*l**4 - 2*l**4 + 0*l**4 - 4*l + 12*l**2 + 4*l**4 = 0. What is l?
0, 1
Suppose -19 + 14 = -d. Suppose -q + 29 = q - d*j, 2*q = -2*j - 6. Factor 0 + 1/5*o**q + 4/5*o.
o*(o + 4)/5
Let w(f) be the second derivative of -f**5/40 - f**4/6 + 7*f**3/12 + 5*f**2/2 - 231*f - 1. Factor w(l).
-(l - 2)*(l + 1)*(l + 5)/2
Let t(m) be the first derivative of 60*m - 24*m**2 - 55 + m**3 + 3/4*m**4. Determine w so that t(w) = 0.
-5, 2
Let b be (1 - -2)/(-1 - (-182)/176). Let y = 177/2 - b. Factor y*x**4 - 1 + 5/2*x - 1/2*x**3 - 3/2*x**2.
(x - 1)**3*(x + 2)/2
Factor -94/5*j + 36 + 2/5*j**2.
2*(j - 45)*(j - 2)/5
Let k be (-129)/45*-1*-24. Let h = k + 69. What is y in 2/5*y**2 + 3/5*y**3 + 0 - h*y = 0?
-1, 0, 1/3
Let d(j) = 8*j**2 - 60*j + 33. Suppose 0 = 9*i - 28 - 17. Let n(w) = -4*w**2 + 30*w - 16. Let c(r) = i*n(r) + 2*d(r). Find x, given that c(x) = 0.
1/2, 7
Factor 990*y**2 + 89*y**4 - 384*y**3 - 862*y**2 - 20*y**5 + 79*y**4.
-4*y**2*(y - 4)**2*(5*y - 2)
Let q(f) be the second derivative of 1/21*f**7 - 1/15*f**6 + 1/6*f**4 + 0 - 1/10*f**5 + 0*f**3 - 10*f + 0*f**2. Factor q(x).
2*x**2*(x - 1)**2*(x + 1)
Let n(l) = l**3 - 5*l**2 + 4*l. Let i be n(4). Let u = 4 + i. Factor -u*p - 2*p**2 + 6*p + p + p.
-2*p*(p - 2)
Let y(k) = -28*k + 3. Let u be y(0). Let u + 1/2*f**2 - 5/2*f = 0. What is f?
2, 3
Let z be -9*1/(-2)*((-522)/(-54) - 9). Solve 2/5*d**z + 2/5*d**2 - 8/5*d - 8/5 = 0.
-2, -1, 2
Let t(q) be the third derivative of q**5/15 + 169*q**4/3 + 57122*q**3/3 + 17*q**2 - 24. Solve t(a) = 0 for a.
-169
Let q(d) = 4*d**5 - 8*d**4 + 8*d**3 - 2*d + 4. Let c(x) = 21*x**5 - 40*x**4 + 41*x**3 - 11*x + 22. Let w(a) = -4*c(a) + 22*q(a). Solve w(m) = 0.
0, 1, 3
Let 446*d**2 - 48 - 221*d**2 - 219*d**2 + 20*d - 2*d**3 = 0. Calculate d.
-3, 2, 4
Solve 15*k**2 + 29/2*k**3 + 1/4 + 11/2*k + 19/4*k**4 = 0 for k.
-1, -1/19
Let f(b) be the first derivative of 0*b**3 + 1/420*b**6 - 13/2*b**2 - 1/105*b**5 - 2 + 0*b**4 + 0*b. Let l(x) be the second derivative of f(x). Factor l(m).
2*m**2*(m - 2)/7
Suppose -7*q + 6*q + 3*y = -19, -q + 4*y + 21 = 0. What is u in -11 - 14 + 12*u**4 + 44*u**3 + 36*u + 60*u**2 + 46 - q = 0?
-1, -2/3
Let a(s) be the third derivative of -6*s**2 + 0 + 0*s - 5/21*s**3 - 1/210*s**5 + 1/14*s**4. Solve a(b) = 0.
1, 5
Factor -12*k - 92*k**2 + 323*k**3 + 144 - 183*k**3 - 4*k**4 - 176*k**3.
-4*(k - 1)*(k + 3)**2*(k + 4)
Suppose 2*k = 5*l, k + 0*k + 2*k = -l. Find z such that k + 10/3*z**5 + 32/9*z**2 - 68/9*z**4 + 8/9*z - 2/9*z**3 = 0.
-2/5, -1/3, 0, 1, 2
Solve -17*j - 26 - 4 + 41*j**2 + 43*j**2 - 85*j**2 = 0.
-15, -2
Let q(z) = 2*z**3 + 112*z**2 + 105*z - 275. Let u be q(-55). Find m, given that 20/3*m**3 + u + 2*m**2 + 8/3*m**5 + 0*m + 22/3*m**4 = 0.
-1, -3/4, 0
Let r(i) be the first derivative of -i**5/60 - i**4/24 + 9*i**2 + 8. Let d(m) be the second derivative of r(m). Factor d(l).
-l*(l + 1)
Let m = -7/433 + 2113/103920. Let s(c) be the third derivative of 1/240*c**5 + 0*c**4 + 0*c + 3*c**2 + 0*c**3 - m*c**6 + 0 + 1/840*c**7. Factor s(o).
o**2*(o - 1)**2/4
Let b(j) be the second derivative of j**6/150 - 7*j**5/100 - 11*j**4/30 + 14*j**3/15 + 36*j**2/5 - j - 158. Factor b(q).
(q - 9)*(q - 2)*(q + 2)**2/5
Factor 35 + b**2 + 85 - 119 + 80 + 8*b + 10*b.
(b + 9)**2
Let q(o) be the second derivative of -5*o**4/36 + 65*o**3/9 - 845*o**2/6 - 62*o. Solve q(r) = 0 for r.
13
Let n(u) be the third derivative of u**9/8640 - u**8/2240 + u**7/2520 - u**5/3 - u**2. Let x(b) be the third derivative of n(b). Find d, given that x(d) = 0.
0, 2/7, 1
Let w = -26551/5 + 5311. Suppose l - 2 = 5. Determine j so that -39/5*j**2 - 4/5*j + w*j**3 + 4/5 + l*j**4 = 0.
-1, -2/5, 2/7, 1
Suppose 3*b = -b - 20. Let n(l) = 3*l**2 + 5. Let g(f) = -5*f**2 - 4 + 3*f**2 + 1. Let a(s) = b*g(s) - 3*n(s). Suppose a(q) = 0. Calculate q.
0
Let m(f) be the second derivative of -f**5/160 + 7*f**4/96 + 5*f**3/48 - 75*f**2/16 + 125*f. Let m(k) = 0. What is k?
-3, 5
Let z = 3/5633 + 253353/247852. Let v = 8/11 + z. Determine q, given that -5/4*q**2 - 1/2 - v*q = 0.
-1, -2/5
Let x = -9/92 + 73/276. Let i(f) be the third derivative of -2/15*f**5 - 1/30*f**6 + 4/3*f**3 - 5*f**2 + 0 + x*f**4 + 0*f. Factor i(a).
-4*(a - 1)*(a + 1)*(a + 2)
Let j be (-6)/(-16) - (-232)/64. Factor -2*z**3 + 89*z**5 + 2 + z + 0*z**4 - 4*z**2 - 88*z**5 + 2*z**j.
(z - 1)**2*(z + 1)**2*(z + 2)
Let t be (1 + 0)*(7 - 5). Find w such that 0 - 3*w**t + 7*w - w - 6*w**2 + 3 = 0.
-1/3, 1
Let t(p) = 70*p - 486. Let y be t(7). Factor 0 + 2/5*d**5 + 0*d**y - 6/5*d**3 + 0*d + 4/5*d**2.
2*d**2*(d - 1)**2*(d + 2)/5
Let v(n) = 5*n**3 - 1067*n**2 + 56173*n + 57241. Let x(w) = -10*w**3 + 2135*w**2 - 112345*w - 114480. Let d(u) = 5*v(u) + 2*x(u). Factor d(b).
5*(b - 107)**2*(b + 1)
Let t be (-114)/(-22) + (-10)/55. Suppose -6*u + t*u = 0. What is l in 4/9*l**4 + 0*l**3 - 2/9*l**5 - 4/9*l**2 + 2/9*l + u = 0?
-1, 0, 1
Suppose 65 - 338 = 13*n. Let q = n - -23. Factor 0 - 8/9*c**3 + 2/9*c + 2/3*c**q.
-2*c*(c - 1)*(4*c + 1)/9
Find w, given that 0*w - 64/7*w**3 - 2/7*w**4 - 62/7*w**2 + 0 = 0.
-31, -1, 0
Let s = -930 + 6512/7. Factor 8/7*p**2 + 0*p + 0 + s*p**3.
2*p**2*(p + 4)/7
Let x(g) = g**3 + 2*g**2 - 32*g + 23. Let n be x(-7). Let t(f) be the second derivative of 1/8*f**n + 1/48*f**4 + 3*f - 1/12*f**3 + 0. Factor t(o).
(o - 1)**2/4
Suppose -3*m + 2*m = 0, 26 = 2*u - 5*m. Factor 36*j - 3*j**2 - 14*j - u*j.
-3*j*(j - 3)
Let l(v) = -v**4 + v**2. Let y(p) = 133*p**2 + 4 - 12*p + 21*p**4 - 158*p**2 + 12*p**3 + 0. Let m(n) = -5*l(n) - y(n). Suppose m(b) = 0. What is b?
-1, 1/4, 1
Let p(t) = -t - 1. Suppose 16 = 9*f + 25. Let j(c) = 10*c - 3*c**3 + 8*c**3 + 11*c**2 - c**2 + 25. Let s(y) = f*j(y) - 25*p(y). Factor s(n).
-5*n*(n - 1)*(n + 3)
Let q be (-1)/(-4) + 33/(-4). Let l be 28/16 + (-2)/q. Factor -2 + 4*p**2 + 2*p - 10*p - l*p**4 + 8*p.
-2*(p - 1)**2*(p + 1)**2
Let n(y) be the third derivative of -y**8/1680 - y**7/350 + y**6/100 + 2*y**5/75 - 44*y**2 - y. Solve n(w) = 0.
-4, -1, 0, 2
Let v be 319/87 - 2/(-6). Let s(c) be the first derivative of 5 + 1/42*c**6 + 1/14*c**2 + 0*c + 0*c**5 + 0*c**3 - 1/14*c**v. Determine k, given that s(k) = 0.
-1, 0, 1
Let t(z) = -z**2 - 2*z. Let c(v) = 5*v**3 - 230*v**2 - 45*v + 210. Let d(x) = -c(x) + 20*t(x). Let d(k) = 0. Calculate k.
-1, 1, 42
Let v = -52 + 54. Factor 210 - 210 - 5*z**v + 10*z.
-5*z*(z - 2)
Let o be 66/44 - (-2)/(-4). Suppose 2*s + f - 2 = o, -4*s + 4*f = -12. Factor -6/7 + 8/7*c**s + 2/7*c.
2*(c + 1)*(4*c - 3)/7
Let h = -28 - -105. Let q = -77 + h. Find o, given that 3/2*o**3 + 6*o**2 + 2*o + q - 5/2*o**4 = 0.
-1, -2/5, 0, 2
Factor 2/23*w - 2/23*w**2 + 24/23.
-2*(w - 4)*(w + 3)/23
Let n = -11 + 16. Let a(w) = -w**3 - 3*w**2 + 7*w. Let b(z) = 50*z + 45*z + 3*z**3 + 5*z**2 - 108*z. Let h(v) = n*a(v) + 3*b(v). Factor h(m).
4*m*(m - 1)*(m + 1)
Let z(s) = s - 6. Let m be z(8). Suppose m = -3*y + 14. Solve y*h**4 - 6*h**3 + 8*h - 3*h**2 - 5*h**2 + 2*h**4 + 2*h**4 - 2*h**5 = 0.
-1, 0, 1, 2
Suppose 6 + 6 = 6*u. Let r be (-5)/((-5)/(-3))*-1. Factor -3*f**u + 2*f**3 + 3*f - 4*f**2 + f**r + f**2.
3*f*(f - 1)**2
L