*2. Factor m(f).
-2*f*(f + 1)**2*(f + 2)**2/5
Let v(x) = x**2 + 5*x - 10. Let p be v(-8). Suppose 0 = -0*n - 7*n + p. Factor -2/13*f**3 + 2/13*f - 2/13*f**n + 2/13.
-2*(f - 1)*(f + 1)**2/13
Let n be (-3)/5*(11 + -6). Let a = n - -6. Solve -5*l**a + 2*l**4 - 10*l - 4 + 16*l**3 - 6*l**2 - 9*l**3 = 0 for l.
-1, 2
Suppose -4*b + a = -6, -8 = -2*b - 6*a + 4*a. Let p be (-1)/(-5) + b + (-16)/10. Suppose 3/5*c - p*c**3 + 0*c**2 + 0 = 0. What is c?
-1, 0, 1
Suppose 3*q - 26 = -5*w, -2*w + 2*q + 14 = 5*q. Find n such that 0 + 3/7*n**3 + n**5 - 12/7*n**w + 2/7*n**2 + 0*n = 0.
-2/7, 0, 1
Let n(v) be the third derivative of v**6/600 - 7*v**5/300 - 3*v**4/40 + 21*v**3/10 - 2*v**2 + 369. Factor n(q).
(q - 7)*(q - 3)*(q + 3)/5
Let t be 5508/544 - (-40)/(-4). Let -9/8*c**3 - 1/4*c - t*c**5 - 7/8*c**2 - 5/8*c**4 + 0 = 0. What is c?
-2, -1, 0
Suppose 33 - 12 = 7*c. Let f be 119/126 + c/((-6)/1). Factor 0*g - f*g**2 + 0 - 2*g**3.
-2*g**2*(9*g + 2)/9
Let m = 197 - 195. Let b(u) be the second derivative of 3*u - 1/4*u**4 + 0*u**m + 0 - 3/2*u**3. Suppose b(v) = 0. What is v?
-3, 0
Let q(p) be the first derivative of 4*p**3/3 - 120*p**2 + 236*p - 238. Find i such that q(i) = 0.
1, 59
Let t(z) be the third derivative of -z**5/60 - 5*z**4/6 - 32*z**3/3 + 78*z**2 - 2. Factor t(h).
-(h + 4)*(h + 16)
Let l be 21/28*192/72. Solve 0*j**l - 6/17*j + 4/17 + 2/17*j**3 = 0 for j.
-2, 1
Let y(q) = -4*q**3 - 12*q**2 - 8*q - 3. Let u(z) = -z + 18. Let i be u(19). Let k(j) = 1. Let g(c) = i*y(c) - 3*k(c). Solve g(f) = 0.
-2, -1, 0
Suppose 0 = -6*l + 13*l + 49. Let s be (3 + l/2)/(30/(-8)). Factor 0 - 4/15*n**3 + 2/15*n**4 - s*n**2 + 4/15*n.
2*n*(n - 2)*(n - 1)*(n + 1)/15
Let l(w) be the second derivative of -1/3*w**4 + 2/45*w**6 - 2/9*w**3 + 1/15*w**5 - 22*w + 0 + 4/3*w**2. Factor l(n).
4*(n - 1)**2*(n + 1)*(n + 2)/3
Let n be -5 - (830/(-156) + 16/104). Let i(s) be the second derivative of n*s**4 - s**2 + 4*s + 0 + 0*s**3. Suppose i(z) = 0. Calculate z.
-1, 1
Let k = 84 + -84. Let p(h) be the first derivative of -3/2*h**2 + 2*h**3 + 7 + k*h - 3/4*h**4. Factor p(i).
-3*i*(i - 1)**2
Let a(l) be the third derivative of l**5/60 - 7*l**4/12 + 17*l**3/6 - 8*l**2. Let g be a(13). Factor m**4 + 5*m**3 - 5*m**2 - m**g - 5*m**4 + 10*m**2 - 5*m**5.
-5*m**2*(m - 1)*(m + 1)**2
Let r = 78 - 18. Factor 3*t**5 + 32*t - 8*t + 54*t**3 + r*t**2 + 26*t**4 - 24*t**4 + 19*t**4.
3*t*(t + 1)*(t + 2)**3
Let w(u) be the third derivative of -u**6/60 + 41*u**5/30 + 208*u**2 - 3*u. Factor w(z).
-2*z**2*(z - 41)
Let k(w) = 7*w**2 + 16*w - 14. Let f(z) = -20*z**2 - 45*z + 41. Let x(d) = -6*f(d) - 17*k(d). Let x(h) = 0. What is h?
-2, 4
Factor 4/5 - 1/5*j**2 + 0*j.
-(j - 2)*(j + 2)/5
Let p(y) = 2*y**2 - 5*y + 7. Let l(r) = r**2 - 5*r + 6. Let n = -15 + 22. Let a(t) = n*l(t) - 6*p(t). Factor a(o).
-5*o*(o + 1)
Determine s, given that -5/2*s**2 + 5/2*s**4 + 0 + 1/2*s**5 + 3*s - 7/2*s**3 = 0.
-6, -1, 0, 1
Let q(o) = -o**3 - 2*o**2 - 7. Let u(a) = 3*a + 15. Let l be u(-6). Let i be q(l). Suppose 3*k**2 + 3*k**i + 2*k**4 - 10*k**2 - 2*k**3 = 0. What is k?
-1, 0, 2
Let q(r) = -2*r**5 + 2*r**4 + 2*r**3 + r**2 - 3*r + 3. Let d(y) = -y**5 + 2*y**4 + y**3 - 2*y + 2. Let h(w) = -6*d(w) + 4*q(w). Solve h(c) = 0.
-2, -1, 0, 1
Let y(q) be the third derivative of q**6/120 + 2*q**5/15 - 3*q**4/8 + q**3/3 + 4*q**2. Let m be y(-9). Determine p, given that 0*p - 1/3 + 1/3*p**m = 0.
-1, 1
Let c(r) = -r**4 - r**3 - 3*r + 1. Let n(d) = -2*d**4 - 12*d**3 + 28*d**2 - 45*d + 19. Let y(a) = -3*c(a) + n(a). Factor y(h).
(h - 4)*(h - 2)**2*(h - 1)
Let g = 3194/21 - 152. Let t(z) be the first derivative of -2/7*z**2 + 7 + 0*z - g*z**3. Find p such that t(p) = 0.
-2, 0
Let d(i) = -i**4 + 5*i**2. Let y(x) = x**4 - 11*x**2. Let j be 2/(-6) + (-14)/3. Let k(s) = j*d(s) - 2*y(s). Factor k(r).
3*r**2*(r - 1)*(r + 1)
Suppose 209 + 59 = f. Factor -f*y**4 + 269*y**4 - 2*y**2 - 2*y**3 + y**3.
y**2*(y - 2)*(y + 1)
Let v(i) be the first derivative of 0*i**2 + 5/3*i**3 - 1/96*i**4 - 1/1440*i**6 - 1/240*i**5 - 3 + 0*i. Let d(j) be the third derivative of v(j). Factor d(p).
-(p + 1)**2/4
Suppose -19*n + 5881 - 5881 = 0. Solve -2/11*l**3 - 2/11*l + 4/11*l**2 + n = 0.
0, 1
Suppose 0 = 12*a - 13*a + 32. Factor 3*v**3 - a*v**4 + 16*v**5 + 5*v**3 - 2*v**5 - 22*v + 28*v**2 + 4.
2*(v - 1)**3*(v + 1)*(7*v - 2)
Determine t, given that -45*t**5 - 240*t**2 + 34*t - 174*t**4 - 10 - 16*t**4 - 119*t - 310*t**3 = 0.
-1, -2/9
Suppose -4*u + 101 = -5*m, -2*u = 3*u + 5. Let y = -19 - m. Find w such that -2/5 - 1/5*w**y + 3/5*w = 0.
1, 2
Let x(a) be the third derivative of a**8/1344 - a**7/140 + 13*a**6/480 - a**5/20 + a**4/24 - 179*a**2. Factor x(h).
h*(h - 2)**2*(h - 1)**2/4
Let w(r) be the third derivative of -r**6/300 + 17*r**5/300 + r**4/12 - 3*r**3/10 + 92*r**2. Solve w(a) = 0.
-1, 1/2, 9
Let c(h) be the third derivative of -2/735*h**7 - 15*h**2 + 0*h**3 + 0 + 2/105*h**5 + 1/21*h**4 + 0*h + 1/1176*h**8 - 1/140*h**6. Let c(j) = 0. What is j?
-1, 0, 2
Let h be 21 - (-2 + -1)*(-8)/6. Factor h + 10 - 18*x + 3*x**2 + 0.
3*(x - 3)**2
Suppose 0*r - 32/17*r**2 - 2/17*r**3 + 0 = 0. Calculate r.
-16, 0
Let o(j) be the third derivative of j**5/15 + 5*j**4/2 - j**2. Determine r so that o(r) = 0.
-15, 0
Let v be 299/52 - 2/(-8). Let -13*n**3 - 9*n**5 + v + 10*n**4 - 17*n**3 - 40*n**4 + 15*n = 0. What is n?
-1, 2/3
Let k(n) be the second derivative of n**4/12 + 13*n**3/3 + 25*n**2/2 + 180*n. Factor k(s).
(s + 1)*(s + 25)
Let z(w) be the second derivative of w**7/4200 + w**6/150 + 2*w**5/25 + 7*w**4/12 - w. Let c(t) be the third derivative of z(t). What is i in c(i) = 0?
-4
Suppose 11*u + 4*u = 9*u. Suppose -1/3*b**3 - 2/3*b + u - b**2 = 0. Calculate b.
-2, -1, 0
Let o(d) = 39*d + 1953. Let m be o(-50). Factor 5*f**2 - 5/2*f**m + 0*f + 0.
-5*f**2*(f - 2)/2
Let w(k) be the third derivative of -k**6/480 + 11*k**5/240 + 31*k**4/32 + 51*k**3/8 - 144*k**2. Factor w(m).
-(m - 17)*(m + 3)**2/4
Let j(o) be the first derivative of -o**5/5 - o**4/4 + o**3 + o**2/2 - 2*o - 367. Factor j(k).
-(k - 1)**2*(k + 1)*(k + 2)
Let c be (-75)/6*(63/(-15) - -1). Let w be 1/5*c/6. Determine b so that 5/3*b**2 - 1/3 + w*b = 0.
-1, 1/5
Let l(i) be the third derivative of -i**5/60 - i**4/24 + 2*i**2. Let k(f) = 0 + 8*f**2 + 4 + 5*f + f**3 - 3 + 3*f. Let t(z) = 4*k(z) + 36*l(z). Factor t(h).
4*(h - 1)**2*(h + 1)
Let u = 25/22 + 3577/66. Let n = u - 55. Let -1/3*y + 2/3*y**2 + 0 + n*y**5 + 0*y**3 - 2/3*y**4 = 0. What is y?
-1, 0, 1
Let y(j) be the second derivative of -j**5/240 - j**4/96 + j**3/4 + 3*j**2 + 26*j. Let i(u) be the first derivative of y(u). Factor i(r).
-(r - 2)*(r + 3)/4
Let v(j) be the second derivative of -j**7/21 - 6*j**6/5 - 7*j**5/5 + 28*j**4/3 + 29*j**3 + 34*j**2 - 115*j. Let v(q) = 0. What is q?
-17, -1, 2
Suppose p + 3 = 3, 3*l + 5*p = 2*l. Factor -1/3*i**5 - 4*i**3 + 0*i + 2*i**4 + 8/3*i**2 + l.
-i**2*(i - 2)**3/3
Let a(t) = -t**2 - 10*t - 11. Let y be a(-9). Let j be (16/20)/(y/(-15)). Factor -j + 6*z + 14*z**2 + 3*z - 35*z**2 - 36*z.
-3*(z + 1)*(7*z + 2)
Let x(i) be the third derivative of -i**7/2940 + i**6/630 + i**5/420 - i**4/42 - 5*i**3/2 + 7*i**2. Let r(z) be the first derivative of x(z). Factor r(j).
-2*(j - 2)*(j - 1)*(j + 1)/7
Let k(s) be the third derivative of s**5/40 + 3*s**4/4 + 9*s**3 + s**2 + 30. Factor k(l).
3*(l + 6)**2/2
Let y(u) be the third derivative of u**5/10 - 39*u**4/8 + 27*u**3 - 201*u**2. Factor y(b).
3*(b - 18)*(2*b - 3)
Let i(a) = -a**3 - 3*a**2 + a - 2. Let h(d) = -d**2 + 2*d - 2. Let n(f) = -h(f) + i(f). Find o, given that n(o) = 0.
-1, 0
Let h(g) be the third derivative of -g**6/24 - 3*g**5/4 - 55*g**4/24 + 35*g**3/2 - 128*g**2. Factor h(l).
-5*(l - 1)*(l + 3)*(l + 7)
Let q(y) be the first derivative of -y**6/5 - 46*y**5/25 + 34*y**4/5 - 8*y**3/3 - 40. Find w such that q(w) = 0.
-10, 0, 1/3, 2
Let f = 419 + -417. Let w be -5 - -2 - 9/(-2). Solve -w*x**5 - 3/2 + 9/2*x**4 + 9/2*x - 3*x**3 - 3*x**f = 0.
-1, 1
Let l(q) be the second derivative of 3/2*q**3 + 11*q + 3/4*q**4 + 3/2*q**2 + 3/20*q**5 + 0. Let l(w) = 0. Calculate w.
-1
Let t = 111872/11 - 10170. Factor -t*n**3 + 12/11 - 2*n + 12/11*n**2.
-2*(n - 3)*(n - 2)*(n - 1)/11
Suppose 0*i**5 - 52*i**3 - 36*i + 42*i**5 + 16*i**4 + 24*i**4 - 10*i**5 - 96*i**2 = 0. What is i?
-1, -3/4, 0, 3/2
Let f(a) = a