ctor k(p).
-3*(p - 2)*(p + 18)
Factor -5*p**2 + 921 + 1925*p - 2991 - 1760.
-5*(p - 383)*(p - 2)
Let t be ((-3)/(-9))/(7/9). Suppose 270 = 11*p + 226. Solve 72/7*q**3 - 48/7*q**p - 18/7*q - 3/7 - t*q**2 = 0.
-1/4, 1
Let o be 18/(-15*(-286)/1320). Suppose 2/13*m**2 + o*m + 648/13 = 0. Calculate m.
-18
Let v(i) = i**2 - 2*i. Let c(h) = h**3 - h**2 - 22*h - 24. Let r(y) = c(y) - v(y). Solve r(z) = 0.
-2, 6
Let z(s) be the third derivative of s**5/300 + 9*s**4/40 + 76*s**3/15 - 9*s**2 - 7. What is l in z(l) = 0?
-19, -8
Let j(y) be the first derivative of 0*y - 96*y**2 - 80*y**3 - 51/4*y**4 + 48 - 3/5*y**5. Find n such that j(n) = 0.
-8, -1, 0
Let d(o) be the third derivative of o**5/140 - 313*o**4/56 + 156*o**3/7 - 45*o**2 - 6. Determine c so that d(c) = 0.
1, 312
Factor -40*c**3 - 6*c + 7*c**2 + 37*c**3 - 508 + 8*c**2 + 484.
-3*(c - 4)*(c - 2)*(c + 1)
Suppose -7*q + b = -53, 0 = -4*q - 38*b + 42*b + 92. Let 48/11*j**3 - 6/11*j**q - 96/11 + 48/11*j**2 - 6/11*j**4 - 96/11*j = 0. Calculate j.
-2, -1, 2
Factor -54/7*m**2 + 57/7*m**3 + 0 + 0*m - 3/7*m**4.
-3*m**2*(m - 18)*(m - 1)/7
Let z(k) be the third derivative of -k**7/490 - 79*k**6/280 - 15*k**5/14 + 79*k**4/14 + 44*k**3 + 86*k**2 + 2*k. Determine s, given that z(s) = 0.
-77, -2, 2
Suppose 19 = m - 3*d, -13*d - 3 = -2*m - 14*d. Find l such that -93 + 338*l**m - 196*l**5 - 112*l - 549*l**3 + 29 + 752*l**2 + 54*l**4 + 1937*l**3 = 0.
-1, -2/7, 2/7, 4
Let l(w) be the third derivative of -w**7/42 + w**6/24 + w**5/2 + 1436*w**2 - 2*w. Solve l(i) = 0.
-2, 0, 3
Factor -183*d - 215*d - 49*d**2 - 180*d + 536*d - 27*d**3 + 6*d**4 - 50*d**2.
3*d*(d - 7)*(d + 2)*(2*d + 1)
Let x(l) be the third derivative of l**5/240 - 71*l**4/48 - 12*l**3 + 11043*l**2 + l. Factor x(c).
(c - 144)*(c + 2)/4
Let f be ((-99)/22)/((-27)/81). Let 0 + f*y + 3/2*y**2 = 0. What is y?
-9, 0
Let n(p) = -p**3 + 7*p**2 + 8*p + 1. Let j(c) = -c**3 + 9*c**2 + 3*c - 20. Let a be j(9). Let h be n(a). Solve -2*f**2 - 53*f - 3 + h*f + 3 = 0 for f.
0, 2
Let c(s) be the third derivative of 3/140*s**7 + 0*s - 11/20*s**6 + 54*s**2 + 17/24*s**5 + 0 - 7/24*s**4 + 0*s**3. Factor c(g).
g*(g - 14)*(3*g - 1)**2/2
Let n(t) be the first derivative of t**3/3 + 13*t**2/2 - 14*t - 140. What is s in n(s) = 0?
-14, 1
Suppose -15 = 5*y, -z + 2*y = -2*z - 4. Suppose 0 = 3*j + h - 7, -z*h + 7 = j + 3*h. Factor 5/7 + 4/7*c - 1/7*c**j.
-(c - 5)*(c + 1)/7
Let s(z) = 7*z**3 + 5*z**2 - 7*z. Suppose 4*m + 5 = -15. Let t(w) = 4*w**3 + 3*w**2 - 4*w. Let g(a) = m*t(a) + 3*s(a). Find c such that g(c) = 0.
-1, 0, 1
Suppose 4*v = -12, v - 3 - 18 = -4*b. Let q be -1 + 1 + (-6 - -18)/b. Determine a so that -a**3 + 3*a**3 - 6*a**2 + 6 + 0*a**q - 16 - 18*a = 0.
-1, 5
Factor 2*a**4 - 9*a**2 - 55419 - 23*a**2 + 16*a**3 + 55483 + 2*a**4 - 2*a**5 - 32*a.
-2*(a - 2)**3*(a + 2)**2
Let h(c) be the second derivative of -1/80*c**5 - 2 + 1/24*c**3 + 13/8*c**2 - 13/48*c**4 + 9*c. Factor h(x).
-(x - 1)*(x + 1)*(x + 13)/4
Let p(d) be the second derivative of 3/4*d**5 + 15/2*d**2 - 79*d + 19/2*d**3 - 1/5*d**6 + 0 + 21/4*d**4. Find r such that p(r) = 0.
-1, -1/2, 5
Factor 558/5 + 112*a + 2/5*a**2.
2*(a + 1)*(a + 279)/5
Let c(u) = -5*u + 65. Let v be c(12). Suppose -32*h**2 - 192*h**3 - 8*h**5 + 0*h**v - h**5 + 77*h**2 + 78*h**4 + 51*h**2 = 0. What is h?
0, 2/3, 4
Let i(y) be the third derivative of y**5/12 - 1945*y**4/12 - 2176*y**2. Factor i(v).
5*v*(v - 778)
Let z(m) be the second derivative of -m**4/15 - 1808*m**3/15 + 362*m**2 + 9299*m. Factor z(b).
-4*(b - 1)*(b + 905)/5
What is z in -16471*z - 1/4*z**4 - 32397/4*z**2 + 181/2*z**3 - 8281 = 0?
-1, 182
Let s(j) be the second derivative of -8/45*j**4 - 90*j - 4/45*j**3 + 0*j**2 - 1/30*j**5 + 7/225*j**6 + 0. Find f, given that s(f) = 0.
-1, -2/7, 0, 2
Suppose -22 = 5*r + 5*f + 48, -r - 4*f - 20 = 0. Let b be (6 - 6)*4/r. Find k such that 5/3*k**3 + b + 0*k - 10/3*k**2 + 5/3*k**4 = 0.
-2, 0, 1
Suppose -140 = -26*a + 132 - 272. Let b(q) be the second derivative of 0*q**3 + 23*q - 1/23*q**2 - 1/345*q**6 + 1/69*q**4 + 0 + a*q**5. Factor b(y).
-2*(y - 1)**2*(y + 1)**2/23
Let a(w) = 22*w - 4. Let n be a(6). Let y = -21 - -25. Suppose y*j**2 + 2*j + 126*j**3 - n*j**3 + j**2 - 2*j**2 - 3*j**4 = 0. Calculate j.
-1, -2/3, 0, 1
Suppose -6*h - 3744 = -30*h. Factor 352 + 2045 - h*d + 11*d**2 - 8*d**2 - 369.
3*(d - 26)**2
Let b = 70 - 46. Let z be b/(-18)*10/(-4). Let -z + 5/3*i + 5/3*i**2 = 0. What is i?
-2, 1
Let w be 1 + (-43)/11 - (389 + -392). What is z in 3/11*z + 0 + w*z**2 = 0?
-3, 0
Let g be ((-3)/(-4))/(33/132). Find f, given that g*f - 6 + f**3 + 3*f**2 + 8 - 1 = 0.
-1
Let l be 77/(-9) - (936/(-88) + 64/(-176)). Factor l*i**2 - 38/9*i + 2 - 2/9*i**3.
-2*(i - 9)*(i - 1)**2/9
Let l(x) be the second derivative of -x**5/150 - 179*x**4/90 - 370*x. Factor l(p).
-2*p**2*(p + 179)/15
Let v(i) be the first derivative of 11*i**6/1620 + 13*i**5/540 + i**4/54 + 4*i**3/3 - 4*i - 43. Let m(z) be the third derivative of v(z). Factor m(w).
2*(w + 1)*(11*w + 2)/9
Let o = 3479 - 3479. Let b(z) be the third derivative of 0 + 1/10*z**5 + 0*z**3 - 3/8*z**4 - 5*z**2 + 1/40*z**6 + o*z. Solve b(f) = 0.
-3, 0, 1
Suppose 3*m = -2*o + 15, -7*m - 2*o = -6*m - 5. Suppose 0 = m*x + 5*c - 20, -3*x - 8*c = -3*c - 16. Solve 12*n**x + 0 + 15*n**3 - 18*n**3 + 0 - 12*n = 0.
0, 2
Let q(l) be the first derivative of -l**7/210 + l**6/45 + 7*l**3/3 + 35. Let b(h) be the third derivative of q(h). Factor b(s).
-4*s**2*(s - 2)
Let j(t) = -7*t - 26. Let m be j(-6). Suppose -q - 5*f - 3 = 0, 3*f - 3 = -3*q - 0. Let -7 - 5 + m*h - 4*h**q - 4 = 0. What is h?
2
Let j(z) = z - 13. Let q be j(17). Let -2*l**4 - 3954*l**2 + 6*l + 5*l**4 + 1 + l**q + 12*l**3 + 3967*l**2 = 0. Calculate l.
-1, -1/2
Suppose 44*v - 1871 = 3101. Factor 8*z - 297 + v - 38*z - 5*z**2 + 144.
-5*(z + 2)*(z + 4)
Suppose 6*y - 1707 = 2*y + 5*g, -3*g - 1709 = -4*y. Let u = y - 428. Find s such that 0 - s**2 + 5/2*s**3 + u*s - 3/2*s**4 = 0.
0, 2/3, 1
Let q(t) be the second derivative of 5*t**6/6 - 211*t**5 + 44941*t**4/3 - 23632*t**3 + 14112*t**2 + 2374*t + 2. Factor q(j).
(j - 84)**2*(5*j - 2)**2
Let w(r) be the first derivative of 5/3*r**3 + 980*r + 70*r**2 + 15. Factor w(x).
5*(x + 14)**2
Let j(i) be the first derivative of 6/5*i**2 - 34/15*i**3 - 111 - 57/10*i**4 - 1/3*i**6 + 0*i - 78/25*i**5. Suppose j(n) = 0. Calculate n.
-6, -1, 0, 1/5
Let u(b) be the third derivative of 0*b**3 + 0*b**4 - 19*b**2 + 1/24*b**5 + 1/168*b**7 + 0 + 1/32*b**6 + 0*b. Factor u(z).
5*z**2*(z + 1)*(z + 2)/4
Let v be 24 + 16 + -27 + -7. Let o(a) be the third derivative of 1/20*a**v + 0*a**4 + 0 + 0*a**3 - 1/210*a**7 + 7*a**2 + 0*a - 1/12*a**5. Factor o(j).
-j**2*(j - 5)*(j - 1)
Let y(u) be the third derivative of -3/160*u**6 + 1/840*u**7 + 0 + 9/80*u**5 - 119*u**2 + 1/2*u**3 + 0*u - 31/96*u**4. Determine v, given that y(v) = 0.
1, 3, 4
Determine f so that 8*f**3 + 2113*f + 881*f - 235*f**2 + 167 - 95*f**2 - 895 = 0.
1/4, 13, 28
Let t(z) be the second derivative of 1/150*z**5 - 11/90*z**4 - 89*z + 8/15*z**3 + 0 + 12/5*z**2. Determine r so that t(r) = 0.
-1, 6
Let g(v) = -v**2 - v + 7. Let d(w) = -10*w**2 + 20*w - 30. Let q(n) = -d(n) + 12*g(n). Factor q(h).
-2*(h - 3)*(h + 19)
Factor 0*f + 25/4*f**2 + 0 - 1/8*f**3.
-f**2*(f - 50)/8
Let -20/9 + 26/9*g + 2/3*g**2 - 2/9*g**4 - 10/9*g**3 = 0. Calculate g.
-5, -2, 1
Let s be ((-2)/3)/(8/(-12))*0. Suppose s = k - 3*k + 10. Factor 2*w - 6*w**2 + k*w**2 - 8*w**2 - 3*w**3 - 8*w.
-3*w*(w + 1)*(w + 2)
Let r(j) = 5*j**2 - 138*j + 84. Let w be r(27). Let o be ((-52)/(-663))/(-5 + 16/w). Solve -4/17*a - 2/17*a**4 + 0*a**2 + 2/17 + o*a**3 = 0.
-1, 1
Factor -44/7*d**2 + 612/7*d + 8.
-4*(d - 14)*(11*d + 1)/7
Let g(u) be the second derivative of -u**8/30240 - 2*u**7/2835 + 5*u**4/12 - u**3/3 + u - 20. Let d(j) be the third derivative of g(j). Factor d(p).
-2*p**2*(p + 8)/9
Let p be 5/(-10)*(-9)/(45/(-880)). Let n be -6 + 11/(p/(-64)). Factor -1/3*s**4 + s**3 + 0*s + 0 - 2/3*s**n.
-s**2*(s - 2)*(s - 1)/3
Factor -201*m + 5*m**2 - 394*m - 15*m + 18605.
5*(m - 61)**2
Suppose -77*l = -247 + 93. Let c be l/((-24)/(-18)) + 3 + 0. What is f in -15/2*f - 1/2*f**3 + 7/2*f**2 + c = 0?
1, 3
Let l(p) be the third derivative of -27*p**6/200 + 39*p**5/50 - 4*p**4/3 + 16*p**3/15 - 56*p**2 - 41*p. Factor l(g).
-(g - 2)*(9*g - 