 m(t) be the third derivative of -s*t**5 + 15*t**2 - 1/2*t**3 + 1/6*t**4 + 0 + 0*t. Factor m(n).
-(n - 3)*(n - 1)
Let q(n) be the first derivative of 0*n - 4*n**5 + 0*n**2 - 19 - 20/3*n**3 + 85/4*n**4. Find w such that q(w) = 0.
0, 1/4, 4
Let o be 5628/(-2811) - (19 + -21). Let z = o - -3762/6559. Suppose 0*l**3 + 2/7*l**4 - z*l**2 + 0*l + 2/7 = 0. Calculate l.
-1, 1
Let w = 148 - 157. Let l be (4 + w)*(-1)/10. Find r, given that 1/2*r**3 - 1/2*r**2 + 1/2 - l*r = 0.
-1, 1
Factor -349/6*k - 29/6 - 6*k**3 - 176*k**2.
-(k + 29)*(6*k + 1)**2/6
Let n be (-95)/4 - (-22910)/790. Find y such that n + 9/2*y - 3/4*y**2 = 0.
-1, 7
Suppose 0 = 33*d - 129 + 30. Factor 1190 - 6*u**4 + d*u**5 - 1190.
3*u**4*(u - 2)
Let q be (-1 + 50 + -4)*(3 + -2). Let t be (-3)/30*-4 - q/300. Let -t*c**3 - 3/4*c - 3/4*c**2 - 1/4 = 0. Calculate c.
-1
Determine c, given that 1/3*c**3 + 0 + 103/3*c**2 - 70*c = 0.
-105, 0, 2
Let j be (-36688)/896 + 3/(-24). Let i = -81/2 - j. Factor -8/7 + 2/7*y**2 + i*y**3 - 16/7*y.
2*(y - 2)*(y + 2)*(2*y + 1)/7
Let g(a) be the first derivative of 50 - 31/11*a**2 + 2/33*a**3 + 60/11*a. Find p, given that g(p) = 0.
1, 30
Let o(l) = l**3 - 2*l**2 - l - 1. Let g(p) = 31*p - 97. Let w(d) = g(d) - o(d). What is r in w(r) = 0?
-6, 4
Let t = -845952 + 845955. Factor -4180/7*z**2 - 860/7*z**t - 6050/7*z - 10*z**4 - 2662/7 - 2/7*z**5.
-2*(z + 1)**2*(z + 11)**3/7
Find m, given that 873/4*m**2 - 435/2 - 57/4*m + 57/4*m**3 - 3/4*m**4 = 0.
-10, -1, 1, 29
Factor 352/3*b + 38/3*b**3 + 2/3*b**5 + 290/3*b**2 + 128/3 - 26/3*b**4.
2*(b - 8)**2*(b + 1)**3/3
Let z(y) be the first derivative of -12/5*y**5 + 0*y - 6*y**4 + 0*y**2 - 177 - 16/3*y**3 - 1/3*y**6. Let z(r) = 0. What is r?
-2, 0
Let b = 1/227356 - -454707/1136780. Factor 8/5*w**3 + 0*w**2 + b - 6/5*w.
2*(w + 1)*(2*w - 1)**2/5
Factor -119/2*v + 0 + 1/4*v**2.
v*(v - 238)/4
Let i(r) be the third derivative of r**8/840 + r**7/210 - 25*r**3/6 - 3*r**2 - 2*r. Let k(c) be the first derivative of i(c). Factor k(f).
2*f**3*(f + 2)
Let r(c) be the first derivative of 8/21*c**3 + 17 - 21/2*c**2 - 1/21*c**4 + 1/420*c**5 + 0*c. Let y(n) be the second derivative of r(n). Factor y(d).
(d - 4)**2/7
Factor 2/5*d**2 - 5944/5*d + 4416392/5.
2*(d - 1486)**2/5
Let v(l) be the second derivative of -l**6/165 + 76*l**5/55 - 2888*l**4/33 + 3*l - 125. Factor v(z).
-2*z**2*(z - 76)**2/11
Suppose 2/15*l**3 + 34/15 - 34/15*l**2 - 2/15*l = 0. What is l?
-1, 1, 17
Let j be 47224/59268 + (-102)/(-187). Let k = j + -4/449. Solve 4/9*f**2 - k*f**3 + 4/9*f**4 - 8/9 + 4/3*f = 0.
-1, 1, 2
Suppose 298 - 316 = -9*n. Let d(a) = 2*a**2 - a + 1. Let m be d(2). Factor 7 - 1 - 1 - 38*j**3 + 42*j**n - 16*j - m*j + 17*j**4 - 3*j**5.
-(j - 1)**4*(3*j - 5)
Solve 1/4*m**4 + 50 + 81/2*m**2 - 31/4*m**3 - 77*m = 0.
2, 25
Let s(h) be the third derivative of 1/16*h**4 + 1/40*h**5 + 0*h**3 - 49 - 1/80*h**6 + 2*h**2 + 0*h - 1/140*h**7. Factor s(t).
-3*t*(t - 1)*(t + 1)**2/2
Factor -76*p + 94/9*p**2 - 2/9*p**3 + 0.
-2*p*(p - 38)*(p - 9)/9
Let y(l) be the first derivative of -2/7*l**4 - 1/35*l**5 + 8/7*l**2 + 66 + 8/21*l**3 + 1/42*l**6 - 16/7*l. Suppose y(v) = 0. Calculate v.
-2, 1, 2
Let f(n) be the third derivative of 7*n**6/300 - 19*n**5/50 - 77*n**4/30 + 16*n**3 + 3*n**2 - 137*n + 1. Suppose f(s) = 0. Calculate s.
-3, 8/7, 10
Let l(y) be the second derivative of 11/30*y**6 + 2*y**4 + 3/2*y**5 + 2 + 13*y - 3/2*y**2 + 1/3*y**3. Suppose l(j) = 0. Calculate j.
-1, 3/11
Let p(f) be the second derivative of f**6/2700 + f**5/150 + f**4/20 - 73*f**3/6 - 67*f. Let w(y) be the second derivative of p(y). Factor w(h).
2*(h + 3)**2/15
Let v(x) = -x**2 + 250*x + 735. Let i(w) = -252*w - 738. Let g(r) = -4*i(r) - 3*v(r). Factor g(p).
3*(p + 3)*(p + 83)
Let z = 1234127 - 13575396/11. Let 40/11*k - z*k**5 + 28/11*k**2 - 7/11*k**4 + 0 - 6/11*k**3 = 0. Calculate k.
-5, -2, 0, 2
Let x be (-42)/(-11)*-2*13/26. Let i = x - -316/77. Factor -i*q**2 + 4/7 + 2/7*q.
-2*(q - 2)*(q + 1)/7
Let h(r) = r**4 + 68*r**3 - 6*r**2 - 217*r + 199. Let i(n) = -3*n**4 - 205*n**3 + 17*n**2 + 649*n - 578. Let l(c) = 8*h(c) + 3*i(c). Solve l(g) = 0 for g.
-71, -2, 1
Let q(m) be the first derivative of 2*m**3/39 - 15*m**2/13 + 108*m/13 + 26. Solve q(b) = 0 for b.
6, 9
Let l = 952 + -947. Let j(t) be the first derivative of 0*t**2 - 1/3*t**3 + 0*t + 1/5*t**l + 22 - 1/12*t**6 + 1/8*t**4. Determine a so that j(a) = 0.
-1, 0, 1, 2
Let x be 2/(-2) - 97/(-85) - -38*108/69768. Factor -x*o**2 + 11/5*o - 18/5.
-(o - 9)*(o - 2)/5
Let w(z) be the second derivative of -z**5/50 + z**4/3 + 13*z**3/5 - 3189*z. Suppose w(s) = 0. What is s?
-3, 0, 13
Let g = -8806 - -8840. Let j(a) be the second derivative of 0 + 5/6*a**3 + 0*a**2 + 5/24*a**4 + g*a - 1/8*a**5. Suppose j(b) = 0. Calculate b.
-1, 0, 2
Let x = -7 - -42. Let f be 6 - 220/x - (-144)/14. Let -23*w**2 - 22*w**4 - 18*w**4 + f*w + 35*w**4 - 2*w**2 + 20*w**3 = 0. What is w?
0, 1, 2
Let g be (9/162)/((2/3)/2). Let q = -6398 - -19292/3. Factor -q - g*y**2 + 14/3*y.
-(y - 14)**2/6
Let k(s) be the third derivative of -s**8/2184 - 16*s**7/1365 + 17*s**6/780 - 437*s**2. Factor k(u).
-2*u**3*(u - 1)*(u + 17)/13
Let d(k) = 3*k - 34. Let h(r) = 10*r - 6. Let b be h(2). Let c be d(b). Factor 8*y**3 + 9*y**2 + 28*y + 28*y**2 - 9*y**2 + c.
4*(y + 1)*(y + 2)*(2*y + 1)
Let h(u) be the first derivative of -2*u**5/5 - 26*u**4 - 540*u**3 - 3404*u**2 - 5290*u - 2197. Factor h(b).
-2*(b + 1)*(b + 5)*(b + 23)**2
Let f(j) be the first derivative of 230*j**3/9 + 39*j**2 + 4*j/3 - 327. Suppose f(k) = 0. Calculate k.
-1, -2/115
Let -17*a**2 - 45 - 123/2*a - 1/2*a**3 = 0. What is a?
-30, -3, -1
Let o = 2949 - 309643/105. Let k(f) be the third derivative of 11*f**2 + 0 + 0*f**6 + 0*f + 1/3*f**4 - o*f**7 + 0*f**3 + 1/5*f**5. Let k(b) = 0. What is b?
-1, 0, 2
Factor -28*a + a**2 + 48*a + 13*a + 70*a + 128 + 26*a.
(a + 1)*(a + 128)
Let k(z) = -20*z**2 - 1808*z + 817223. Let n(d) = -17*d**2 - 1808*d + 817222. Let i(g) = 6*k(g) - 7*n(g). Factor i(f).
-(f - 904)**2
Let d = -102 + 176. Let p = d + -50. Determine x so that 3*x**3 + 24*x**2 + 66*x - p*x - 518 + 538 - x**3 = 0.
-10, -1
Let b(j) = -61*j**2 - 1078*j + 3370. Let p(g) = -43*g**2 - 718*g + 2246. Let u(o) = -5*b(o) + 7*p(o). Factor u(l).
4*(l - 3)*(l + 94)
Let u(f) be the first derivative of -f**6/9 + 28*f**5/15 + 3*f**4 - 88*f**3/9 - 17*f**2/3 + 20*f - 4773. Solve u(y) = 0 for y.
-2, -1, 1, 15
Let r(c) be the second derivative of c**6/72 - 5*c**5/24 + 5*c**3/6 - 106*c. Let m(k) be the second derivative of r(k). Find a, given that m(a) = 0.
0, 5
Factor -1/3*b**2 + 4/3 + 1/3*b**3 - 4/3*b.
(b - 2)*(b - 1)*(b + 2)/3
Let w(b) be the first derivative of -b**3/3 - 11*b**2/2 + 824. Factor w(g).
-g*(g + 11)
Let m(o) be the second derivative of o**4/42 + 1240*o**3/21 + 384400*o**2/7 - 68*o - 18. Factor m(t).
2*(t + 620)**2/7
Let f = -45494 + 136484/3. Factor -11/9*r - 1/9*r**3 - f*r**2 - 2/3.
-(r + 1)*(r + 2)*(r + 3)/9
Let r(a) be the first derivative of -49 - 78/5*a**3 + 66/5*a**2 + 147/20*a**4 - 24/5*a - 6/5*a**5. Let r(u) = 0. What is u?
2/5, 1/2, 2
Let v = 55745 - 55741. Let 22/7*u**v + 18/7*u**2 - 6/7*u**5 - 4/7*u - 30/7*u**3 + 0 = 0. Calculate u.
0, 2/3, 1
Suppose 2*w - 224 = -4*m, w - 46 - 65 = -m. Suppose -w = -25*b - 35. Let 0*g**4 + 2/11*g + 0*g**2 + 0 - 4/11*g**b + 2/11*g**5 = 0. Calculate g.
-1, 0, 1
Factor 2/7*b**2 + 824/7*b - 3328/7.
2*(b - 4)*(b + 416)/7
Let a(g) be the third derivative of g**7/42 + 3*g**6/8 - 3*g**5 - g**2 + 90. Suppose a(p) = 0. Calculate p.
-12, 0, 3
Solve 1/4*n + 175/4*n**2 - 175/4 - 1/4*n**3 = 0.
-1, 1, 175
Let h(v) be the second derivative of -5/3*v**3 + 2*v + 0 - 1/40*v**5 + 0*v**2 + 0*v**4 - 1/120*v**6. Let j(f) be the second derivative of h(f). Factor j(z).
-3*z*(z + 1)
Let d be (-99)/22 + 4 + (-34)/(-4). Let h be (-3 + 338/110)/(d/20). Let 6/11*w**4 + 4*w**3 - 8/11*w**2 - 36/11*w**5 - 8/11*w + h = 0. Calculate w.
-1, -1/2, 1/3, 1
Factor 162*f - 196/3 + 10/3*f**2.
2*(f + 49)*(5*f - 2)/3
Let h(u) be the second derivative of -u**4/48 + 2*u**3/3 + 57*u**2/8 - 715*u. Factor h(f).
-(f - 19)*(f + 3)/4
Let y(u) be the third derivative of -5*u**8/336 - 2*u**7/7 - 9*u**6/8 - 3*u**2 - 2253*u. Factor y(m).
-5*m**3*(m + 3)*(m + 9)
Factor 2*f**5 + 114*f**3 + 4*f**4 + 70*f - 144 + 109*f + 133*f - 268*f**2 - 28*f**