 3*m**2 - 77*m. Let z(v) = -v + 2. Let p(c) = 2*o(c) + 2*z(c). Factor p(x).
2*(x - 1)*(x + 4)*(5*x + 1)
Suppose 4*x - f + 1289 = 0, f + 645 = -2*x + 2*f. Let n = x - -324. Find p, given that -10*p**n - 20/3*p - 20/3*p**3 - 5/3 - 5/3*p**4 = 0.
-1
Let d be -7 + (-1144)/(-156) - (-14)/2. Factor -d*j + 10/3*j**2 + 4/3*j**3 + 8/3.
2*(j - 1)*(j + 4)*(2*j - 1)/3
Let m(y) be the third derivative of 0 + 1/30*y**6 + 23*y**2 - 1/336*y**8 - 1/8*y**4 + 0*y**7 + 0*y - 1/30*y**5 + 1/3*y**3. Factor m(j).
-(j - 1)**3*(j + 1)*(j + 2)
Let c(w) be the third derivative of -5/168*w**8 + 16/105*w**5 + 47/420*w**6 - 32/735*w**7 - 1/7*w**4 + 1 + 0*w + 0*w**3 + w**2. Solve c(s) = 0 for s.
-6/5, -1, 0, 2/7, 1
Let h be (-18)/((981/1635)/(2*(-3)/75)). Let 0*x**2 + h*x - 3/5*x**3 + 0 = 0. Calculate x.
-2, 0, 2
Let f be (0 - 0)/(-22*24/(-264)). Solve 1/2*h - 1/4*h**2 + f = 0 for h.
0, 2
Let v be (445/(-135) - -3)*1212/(-1616). Factor v*g**2 + 8/9 + 8/9*g.
2*(g + 2)**2/9
Let l = 1/9342 - -21019/4671. Factor -1/2*a**5 - 3*a**4 - l*a**3 + 0 - 2*a**2 + 0*a.
-a**2*(a + 1)**2*(a + 4)/2
Factor -35*i**2 - 500*i**3 - 2*i + 271*i**3 + 248*i**3 + 9*i - i**4 + 10*i.
-i*(i - 17)*(i - 1)**2
Let m = -8/19421 + 155472/252473. Factor -4/13 - 18/13*w - m*w**2.
-2*(w + 2)*(4*w + 1)/13
Let c = -1467 + 1483. Suppose -12*t = -20*t + c. Find x, given that -2/3*x**3 + 0 - 1/3*x**4 + x**t + 0*x = 0.
-3, 0, 1
Let a be (-10 + -2 + 12)/((-2)/1). Let i(r) be the third derivative of 5/24*r**3 - 5/96*r**4 - 3*r**2 + a + 0*r - 1/24*r**5. Find t, given that i(t) = 0.
-1, 1/2
Let l(i) be the first derivative of -27*i**5/5 + 16605*i**4/4 + 5541*i**3 + 5543*i**2/2 + 616*i + 175. Factor l(k).
-(k - 616)*(3*k + 1)**3
Let w = 1676 - 11724/7. Let d(j) be the first derivative of 2 + w*j**2 - 4/21*j**3 + 0*j. Factor d(z).
-4*z*(z - 4)/7
Let r = 580013/386670 + -4/193335. Factor 9/2*l**3 - r*l**4 - 9/2*l + 0 + 3/2*l**2.
-3*l*(l - 3)*(l - 1)*(l + 1)/2
Let u = -1262 - -1264. Let t(q) be the second derivative of 1/2*q**5 + 6*q + 16/3*q**3 + 4*q**u + 17/6*q**4 + 0. Factor t(c).
2*(c + 1)*(c + 2)*(5*c + 2)
Let r(l) be the second derivative of -l**6/1980 + 5*l**5/66 - 625*l**4/132 + 68*l**3/3 + 86*l. Let s(k) be the second derivative of r(k). Factor s(i).
-2*(i - 25)**2/11
Let w(m) = -6*m - 3. Let l be w(-3). Suppose -l*u + 17*u = 8. Factor -5*p**4 - 11 - 30*p**3 - u - 45*p - 5*p - 60*p**2 + 0*p.
-5*(p + 1)**3*(p + 3)
Let k(r) = -6*r**2 - 434*r - 291. Let b(i) = -i**2 - 1. Let f(m) = 6*b(m) - 2*k(m). What is w in f(w) = 0?
-144, -2/3
Let w(n) be the third derivative of -17*n**5/45 - 23*n**4/24 - n**3/18 - n**2 - 58. Factor w(d).
-(d + 1)*(68*d + 1)/3
Let x(t) = t - 4. Suppose -o + 4*f = o - 36, f + 34 = 3*o. Let h be x(o). Determine c so that 9*c**2 - 3 - 3*c**3 - h*c**2 + 3*c + 0 = 0.
-1, 1
Let f be ((-6)/27)/1 - (-644)/(-18). Let a = -31 - f. Determine w, given that -14*w**2 - 23*w**3 - 4*w**4 + 41*w**3 + 0*w**4 - 6*w**4 + 4*w + 2*w**a = 0.
0, 1, 2
Let d(m) be the third derivative of -m**8/1512 - m**7/45 - 143*m**6/540 - 299*m**5/270 + 4*m**4/3 + 320*m**3/27 - 3*m**2 + 15. Determine c, given that d(c) = 0.
-8, -5, -1, 1
Let q(b) be the second derivative of 58*b - 1/90*b**5 + 0 - 1/6*b**4 - 3*b**2 - b**3. Factor q(a).
-2*(a + 3)**3/9
Let b(f) be the first derivative of 21*f**5/25 - 54*f**4/5 - 163*f**3/5 + 342*f**2/5 - 7094. Determine n so that b(n) = 0.
-19/7, 0, 1, 12
Let u(j) be the third derivative of -31/3*j**3 - 2/15*j**5 - 125/12*j**4 + 0*j + 2 + 80*j**2. Suppose u(t) = 0. What is t?
-31, -1/4
Let q(l) be the third derivative of 0 - 512/21*l**3 - 1/105*l**5 - l**2 - 16/21*l**4 + 27*l. Factor q(v).
-4*(v + 16)**2/7
Suppose 1026*g - 1023*g - 24 = -4*u, 2*g - 8 = 0. Let n(t) be the second derivative of 12/7*t**2 + 10/21*t**u - 1/21*t**4 + 0 - 5*t. Factor n(c).
-4*(c - 6)*(c + 1)/7
Let d(r) be the second derivative of -7*r**6/60 + 37*r**5/40 - 11*r**4/4 + 11*r**3/3 - 2*r**2 + 3671*r. Solve d(z) = 0 for z.
2/7, 1, 2
Let p be (15 - -6) + (-63)/3. Let x(i) be the third derivative of 25*i**2 - 1/1365*i**7 + 0*i**6 + 1/130*i**5 + 0*i**3 - 1/78*i**4 + p*i + 0. Factor x(l).
-2*l*(l - 1)**2*(l + 2)/13
Find l such that -978/7*l + 0 + 3/7*l**2 = 0.
0, 326
Let h(m) be the third derivative of m**7/735 + 17*m**6/40 + 1364*m**5/35 + 4840*m**4/21 + 12*m**2 + 6. Factor h(b).
b*(b + 88)**2*(2*b + 5)/7
Let g(u) be the third derivative of 1/33*u**3 + 4/165*u**5 - 3/44*u**4 + 0*u + 1 - 11*u**2. Factor g(h).
2*(h - 1)*(8*h - 1)/11
Let y(q) = q**2 + q + 1. Let l(p) be the third derivative of p**5/60 - p**4/4 + p**3/6 + 40*p**2. Let b(a) = -l(a) + 4*y(a). Let b(s) = 0. Calculate s.
-3, -1/3
Factor 136/15*a - 578/15 - 8/15*a**2.
-2*(2*a - 17)**2/15
Let i(f) = 4*f + 29. Let a be i(-6). Let 2*z + 3*z**4 - 8*z**3 + 2*z**a + 37*z**2 + 4*z**5 + z**4 - 41*z**2 = 0. What is z?
-1, 0, 1/3, 1
Let p(u) = 17*u**3 - 5122*u**2 - 5059*u - 8. Let w(y) = -6*y**3 + 1710*y**2 + 1686*y + 3. Let k(f) = 3*p(f) + 8*w(f). Factor k(a).
3*a*(a - 563)*(a + 1)
Let n - 1479*n**3 + 2981*n**3 - 13*n - 7*n**4 - 1491*n**3 + 7*n**2 + n**5 = 0. Calculate n.
-1, 0, 1, 3, 4
Find z such that -86 + 130*z**3 + 44*z**2 - 126*z**3 + 80 + 152*z + 76 + 90 = 0.
-5, -4, -2
Let a be (-12)/28 + (-2320)/(-7). Let o = a + -331. Suppose 0*z**2 - 3/2*z**3 + o + 0*z - 2*z**4 - 1/2*z**5 = 0. What is z?
-3, -1, 0
Let h = 5826 + -11647/2. Let m(d) be the third derivative of 10*d**2 + 0 - 20/3*d**3 + 0*d + 1/24*d**6 - 1/2*d**5 + h*d**4. Factor m(b).
5*(b - 2)**3
Let y = -5149 + 5153. Let s(q) be the second derivative of 7*q - 1/4*q**5 + 0*q**3 + 0 + 0*q**2 - 1/2*q**6 + 0*q**y. Factor s(a).
-5*a**3*(3*a + 1)
Let w(j) = -j + 2. Let g(r) = -53*r**2 + 165*r + 36. Let v(q) = g(q) - 2*w(q). Let u(m) = 26*m**2 - 83*m - 17. Let c(o) = 7*u(o) + 4*v(o). Factor c(z).
-3*(z - 3)*(10*z + 1)
Let w(p) be the third derivative of -p**5/180 - 59*p**4/36 - 116*p**3/9 - 2262*p**2. Let w(n) = 0. What is n?
-116, -2
Let z(q) be the third derivative of q**6/240 - 7*q**5/60 - 23*q**4/16 - 9*q**3/2 + 7*q**2 + 139*q. Determine t so that z(t) = 0.
-3, -1, 18
Let h(n) be the third derivative of -2*n**7/105 - 59*n**6/30 - 1003*n**5/15 - 1287*n**4/2 - 1944*n**3 - 490*n**2. Find j, given that h(j) = 0.
-27, -4, -1
Let m = -10658 - -245093/23. Let c = m + 269/138. Let 5/6 - c*n**2 - 2/3*n = 0. What is n?
-5, 1
Let h = -104413376/495 + 210937. Let c = 1/495 + h. Factor -2/9*q**4 + 0 - c*q**2 + 0*q + 10/9*q**3.
-2*q**2*(q - 4)*(q - 1)/9
Let s(r) be the third derivative of -r**8/1512 + 157*r**7/945 - 2027*r**6/180 - 6557*r**5/270 + 6241*r**4/54 - 310*r**2. Solve s(j) = 0 for j.
-2, 0, 1, 79
What is y in -432 - 3/2*y**2 + 123/2*y = 0?
9, 32
Let -136/3 + 76/3*l + 44*l**2 - 76/3*l**3 + 4/3*l**4 = 0. What is l?
-1, 1, 2, 17
Let v(x) be the first derivative of x**5/60 + 11*x**4/24 + 5*x**3/3 - 21*x**2 + x + 56. Let b(i) be the second derivative of v(i). Solve b(a) = 0.
-10, -1
Let u(x) = 18*x + 130. Suppose 11*m = 4*m - 49. Let f be u(m). Determine v so that 9/7*v - 9/7*v**3 + 5/7*v**2 - v**f + 2/7 = 0.
-1, -2/7, 1
Let c = -48 + 25. Let w = 30 + c. Determine r, given that 11*r**2 - 12*r**4 + 8*r + 4*r**2 + w*r**3 - r**2 + 13*r**4 = 0.
-4, -2, -1, 0
Let h be (19/(-38))/(2/(-32)). Let l be (4/2 + 3)*h/20. Factor -117 + 11*z**l - 3*z**3 + 4*z**3 + 142 + 35*z.
(z + 1)*(z + 5)**2
Let c(r) be the first derivative of r**7/9660 - r**6/828 + 2*r**5/345 - r**4/69 - 3*r**3 - 145. Let u(t) be the third derivative of c(t). Factor u(j).
2*(j - 2)**2*(j - 1)/23
Let j(w) = 27*w**2 - 6696*w + 2801908. Let n(r) = 7*r**2 - 1674*r + 700473. Let f(k) = -6*j(k) + 23*n(k). Find a, given that f(a) = 0.
837
Let r = -38127 + 228763/6. Let v(z) be the second derivative of 27*z + 0*z**2 + 0*z**4 + 0 - 1/20*z**5 + r*z**3. Find j such that v(j) = 0.
-1, 0, 1
Let 399*o - 4554 - 1280*o - 310*o - 3*o**2 - 336*o = 0. Calculate o.
-506, -3
Let w(a) = 3*a**4 + a**2 - 4*a - 1. Let h(b) = -6*b**4 - 156*b**3 + 1851*b**2 + 4872*b - 6558. Let f(g) = h(g) + 3*w(g). Factor f(z).
3*(z - 27)**2*(z - 1)*(z + 3)
Let h be (-6)/(-48) - (-527)/136. Let t(i) be the third derivative of 7/90*i**5 + 2*i**2 - 1/24*i**h - 1/9*i**3 + 0 + 0*i. Let t(d) = 0. What is d?
-2/7, 1/2
Let d = 504094/33 - 168024/11. Factor 2/3*t**2 - d*t**3 + 32/3*t - 32/3.
-2*(t - 4)*(t - 1)*(t + 4)/3
Let c be 