*l(c). Factor p(m).
4*(m + 60)**3
Let n(x) be the first derivative of -x**4/14 - 34*x**3/7 - 1559. Solve n(t) = 0.
-51, 0
Let g = 17279 - 17276. Suppose -2/5*l**4 - 8/5*l + 2*l**g + 16/5 - 12/5*l**2 = 0. What is l?
-1, 2
Let n(p) be the third derivative of 0 - 64*p**2 + 1/600*p**6 + 0*p - 1/150*p**5 + 0*p**3 + 0*p**4. Factor n(h).
h**2*(h - 2)/5
Let p be 12/60*-2*(-7 + 6). Let y(f) be the first derivative of -1/2*f**2 + 0*f**4 + 0*f + p*f**5 + 1/6*f**6 - 2/3*f**3 + 9. Suppose y(t) = 0. What is t?
-1, 0, 1
Let r(k) be the third derivative of k**6/720 - 7*k**5/360 - 7*k**4/48 + 3*k**3/4 + 3*k**2 - 76*k. Factor r(j).
(j - 9)*(j - 1)*(j + 3)/6
Let r be (12 - 10) + 0 + 2. Let k(g) be the second derivative of -5/6*g**3 - 2*g**2 + 0 + 7*g - 1/12*g**r. Factor k(d).
-(d + 1)*(d + 4)
Suppose 4*v = -3*n + 5, 2*v + 3*n = 5*v - 9. Let d be 6 - (2 - 3 - -1). Factor -o**v - 10 - 3*o - 15 + d*o + 7*o.
-(o - 5)**2
Factor -2/7*d**4 - 72/7*d**2 - 20/7*d**3 - 16*d - 64/7.
-2*(d + 2)**3*(d + 4)/7
Suppose 8*w + 69*w = 29*w. Let j(f) be the third derivative of 8*f + w + 1/4*f**5 + 19/4*f**4 - 8*f**3 - f**2. Factor j(r).
3*(r + 8)*(5*r - 2)
Let s = 756 - 750. Let u be 2 + s + 207/(-27). Find z such that -z**2 - u - 1/3*z**3 - z = 0.
-1
Factor -5*h**5 + 55*h**2 - 17*h + 40*h**2 - 105*h**3 + 9*h**4 + 15*h**4 - 13*h + 21*h**4.
-5*h*(h - 6)*(h - 1)**3
Let m(l) = 2*l**2 - 22*l - 26. Let z be m(13). Determine x so that -6*x - 9*x**2 - 3*x**4 - 4*x**3 + 3*x**3 - 9*x**5 + z*x**3 + 2*x**3 = 0.
-2, -1/3, 0, 1
Factor 17743*u**4 + 187878620*u - 122627*u**2 + 1458257*u**2 + 4220*u**3 - 17738*u**4 + 9910597205.
5*(u + 211)**4
Let t = 149 - 113. Suppose -7*k = -t*k + 609. Let -9/2*f**4 + 39/4*f - k*f**2 + 69/4*f**3 - 3/2 = 0. Calculate f.
1/3, 1/2, 1, 2
Let n be ((-13)/(-11427))/(2/9). Let i = n - -571/2930. Solve -1/5*l**4 + 0*l + i*l**3 + 0 + 1/5*l**2 - 1/5*l**5 = 0.
-1, 0, 1
Let b(q) be the third derivative of -114*q**2 - 1/18*q**4 + 0 - 7/180*q**5 + 1/360*q**6 + 14/9*q**3 + 0*q. Factor b(s).
(s - 7)*(s - 2)*(s + 2)/3
Let f(v) = v**4 + 10*v**3 - 11*v**2 - 6*v. Suppose 9*h - 13 = 5. Let q(t) = -t**h - t**3 - t - 3*t**3 + 5*t**3. Let r(c) = f(c) - 6*q(c). Factor r(s).
s**2*(s - 1)*(s + 5)
Let x(t) be the first derivative of t**6/30 - 13*t**5/5 + 783*t**4/10 - 5508*t**3/5 + 32076*t**2/5 + 1855. Determine i so that x(i) = 0.
0, 11, 18
Suppose -329 + 21 = 5*b + 4*r, 4*r + 8 = 0. Let v be (-6)/b*0 - -4. Find l, given that 1/5*l**3 + 2/5*l**v - 2/5*l**2 + 0 - 1/5*l**5 + 0*l = 0.
-1, 0, 1, 2
Let v be 91/78 - 77/(-132). Let z(r) be the first derivative of v*r - 1/20*r**5 - 5/2*r**2 - 37 + 3/2*r**3 - 1/4*r**4. Find b such that z(b) = 0.
-7, 1
Let t be (-3 + 104/(-30) + 0)*6. Let m = 58 + t. Let 164/5*u**2 - 36*u**4 - 20*u**5 + 16/5 + m*u + 4/5*u**3 = 0. Calculate u.
-1, -2/5, 1
Find n, given that -988*n + 49/2*n**4 - 523/2*n**3 - 1/2*n**5 - 338 - 1873/2*n**2 = 0.
-1, 26
Let n(l) be the third derivative of -l**5/270 + 211*l**4/18 + 2536*l**3/27 + 12972*l**2. Factor n(r).
-2*(r - 1268)*(r + 2)/9
Factor -1359/7*v + 3/7*v**3 + 0 - 1356/7*v**2.
3*v*(v - 453)*(v + 1)/7
Let u(d) be the third derivative of -d**8/336 + d**7/84 + d**6/9 + 24*d**3 - 8*d**2. Let m(o) be the first derivative of u(o). Factor m(t).
-5*t**2*(t - 4)*(t + 2)
Let o(u) be the first derivative of 8/9*u - 68 - 4/9*u**2 - 2/9*u**3. Factor o(v).
-2*(v + 2)*(3*v - 2)/9
Let f = 147405/2 + -73700. Factor f*u**2 - 15/2 + 5*u.
5*(u - 1)*(u + 3)/2
Determine l, given that 2/23*l**2 - 364/23*l + 16562/23 = 0.
91
Let p(j) be the second derivative of -3*j**5/20 - 29*j**4/4 + 215*j**3 - 600*j**2 + 168*j - 3. Determine a so that p(a) = 0.
-40, 1, 10
Suppose 0 = 4*t + 278 - 286. Factor 32*w**3 - 11*w**2 - 7*w**2 + 2*w**t + w + w.
2*w*(4*w - 1)**2
Factor -1/2*u**3 + 1/2*u**5 - 6*u - 3/2*u**4 + 2 + 11/2*u**2.
(u - 2)*(u - 1)**3*(u + 2)/2
Solve -1/2*u**3 + 843*u**2 + 88752164 - 473766*u = 0 for u.
562
Let p(w) be the third derivative of -w**7/840 + w**6/240 - w**5/240 + 143*w**2 + 4*w. Factor p(b).
-b**2*(b - 1)**2/4
Let b(m) be the third derivative of -m**5/20 - 27*m**4/2 - 315*m**3/2 + 4637*m**2. Factor b(f).
-3*(f + 3)*(f + 105)
Let s(u) be the first derivative of -2*u**3/3 - 4*u**2 - 6*u + 1208. Factor s(t).
-2*(t + 1)*(t + 3)
Let m(v) be the first derivative of -108*v**2 + 58 - 4/3*v**3 - 2916*v. Factor m(b).
-4*(b + 27)**2
Let k be 13/390*10*30. Suppose 4*b + 2*f = 12, -5*f + k = 20. Let -3/4*c**b - 1 + 7/4*c**2 + 0*c + 1/4*c**5 - 1/4*c**3 = 0. What is c?
-1, 1, 2
Let k(p) = -9 + 8*p + 12*p - 3*p**2 + 0*p**2. Let i be k(6). Find q, given that 3*q**2 - 8*q - 2*q**4 + i*q**3 - q**4 + 5*q = 0.
-1, 0, 1
Suppose -7*a + 3*a + 4*u + 68 = 0, a + 3*u - 13 = 0. Let f = 2585 + -2583. Solve 135*v - 2 + 127*v**2 - 4 - 2*v**f + a = 0 for v.
-1, -2/25
Let -429*p + 1008*p**2 - 4*p**5 - 91*p**3 - 117*p**3 - 109*p**4 - 1875*p + 912*p**2 + 29*p**4 = 0. What is p?
-12, 0, 2
Let s(j) be the second derivative of -j**4/6 + 29*j**3/3 + 342*j**2 - 7122*j. Find t, given that s(t) = 0.
-9, 38
Suppose 18/7*u - 3/7*u**2 + 741/7 = 0. What is u?
-13, 19
Suppose -2616 = -35*a + 7114. Suppose -a*k = -282*k. Suppose 4/17*l**3 + 0*l + 0*l**2 - 10/17*l**4 + k = 0. What is l?
0, 2/5
Let t(x) be the first derivative of x**7/630 - x**6/72 + 7*x**5/180 - x**4/24 + x**2 - 69*x + 45. Let l(s) be the second derivative of t(s). Factor l(u).
u*(u - 3)*(u - 1)**2/3
Let i be -3 - 16/(-6) - ((-16)/18)/2. Let l(n) be the first derivative of 1/3*n**2 - 10 + i*n**3 + 1/3*n. Suppose l(k) = 0. What is k?
-1
Let f(g) = 7*g**2 + 48*g + 386. Let c(l) = -l**2 - l + 1. Let y(o) = -6*c(o) - f(o). Factor y(p).
-(p + 14)*(p + 28)
Let q(l) = -7*l**3 + 23*l**2 + 120*l + 90. Let w(o) = 16*o**3 - 45*o**2 - 241*o - 180. Let x(b) = 14*q(b) + 6*w(b). What is r in x(r) = 0?
-3, -1, 30
Let z be (91798/(-294))/(-79) - (-30)/42. Determine x, given that z*x**3 - 4/3*x**2 + 16/3 + 0*x**4 - 8*x - 2/3*x**5 = 0.
-2, 1, 2
Suppose -102*n - 2 = -97*n - 2*y, 4*n + 3 = 3*y. Factor -15/7*k**3 + n + 3*k**4 + 0*k - 6/7*k**2.
3*k**2*(k - 1)*(7*k + 2)/7
Let 1234*f - 838*f**2 + 8335*f**3 - 6854*f - 1120 - 2370*f**4 - 45*f**5 - 2902*f**2 = 0. What is f?
-56, -1/3, 2
Let n = 25542/7123 - -1/419. Let o = -254/85 + n. Find v such that -1/5 - o*v**2 - 3/5*v - 1/5*v**3 = 0.
-1
Let l(w) be the third derivative of -w**7/630 + 19*w**6/360 + 13*w**5/20 + 9*w**4/8 - 12*w**3 - 2358*w**2 + 2. Factor l(z).
-(z - 24)*(z - 1)*(z + 3)**2/3
Let r(h) be the second derivative of -h**5/4 + 115*h**4/3 - 445*h**3/6 - 455*h**2 + 2*h - 24. Factor r(o).
-5*(o - 91)*(o - 2)*(o + 1)
Let x(y) be the first derivative of 5*y**8/672 - y**7/24 + 11*y**6/180 - y**5/30 + 2*y**3/3 + 32*y + 35. Let r(s) be the third derivative of x(s). Factor r(n).
n*(n - 2)*(5*n - 2)**2/2
What is r in 2018085 - 345*r - 2018085 - 3*r**2 = 0?
-115, 0
Let s(h) be the first derivative of 32*h**3 + 117/2*h**4 + 105 - 338/5*h**5 + 0*h + 4*h**2. Suppose s(m) = 0. Calculate m.
-2/13, 0, 1
Let r(p) be the third derivative of -p**5/120 - 103*p**4/16 - 307*p**3/6 - 4579*p**2. Determine v, given that r(v) = 0.
-307, -2
Let c = 1/6723 - -40333/33615. Factor 2/5*v**3 - 2/5*v - 6/5 + c*v**2.
2*(v - 1)*(v + 1)*(v + 3)/5
Let s = -1/25484 + 5963263/178388. Let t = s + -33. Factor 0*a**3 - 3/7*a + 0 - 6/7*a**2 + t*a**5 + 6/7*a**4.
3*a*(a - 1)*(a + 1)**3/7
Let y = 38 - 36. Suppose 8 = -c - 3*l, 5*c + 4*l = 2 + y. Factor 19*d**4 - 3*d**3 + 11*d**3 + c*d - 17*d**4 + 10*d**2.
2*d*(d + 1)**2*(d + 2)
Let q(m) be the second derivative of m**7/84 + 11*m**6/60 + m**5/4 - 53*m**4/12 + 133*m**3/12 - 49*m**2/4 - 8*m - 38. Solve q(f) = 0 for f.
-7, 1
Let c(p) be the second derivative of p**4/6 + 228*p**3/5 + 544*p**2/5 - 30*p + 8. Factor c(s).
2*(s + 136)*(5*s + 4)/5
Determine k so that -10/3*k + 10/3*k**3 + 2/3*k**4 - 10*k**2 + 28/3 = 0.
-7, -1, 1, 2
Let n(w) be the first derivative of -w**7/525 + w**6/12 - 47*w**5/150 + 23*w**4/60 - 159*w**2/2 + 41. Let h(y) be the second derivative of n(y). Factor h(d).
-2*d*(d - 23)*(d - 1)**2/5
Let f(r) be the second derivative of r**6/30 + 2*r**5/5 - 13*r**4/6 - 28*r**3 + 441*r**2/2 - 1395*r. Factor f(k).
(k - 3)**2*(k + 7)**2
Factor -1/5*u**3 + 3/5*u**2 - 36 + 88/5*u.
-(u - 10)*(u - 2)*(u + 9)/5
Let j = -377789 + 377797. Factor -4*c**3 + 32/3*c**2 + 58/3*c + 2/3*