+ 1803. Factor j(o).
2*(o - 53)*(o - 1)/3
Let p(t) be the first derivative of t**6/900 - t**5/25 - 13*t**4/60 - 6*t**3 - 5*t**2/2 + 126. Let r(j) be the third derivative of p(j). What is s in r(s) = 0?
-1, 13
Let t be 3/2 + 3/2. Let i = 99/250 + 13/125. Factor -r**t + 1/2*r - i*r**2 + 0.
-r*(r + 1)*(2*r - 1)/2
Let h = -2522753/3 + 840918. Determine r so that -7/3*r - 8/3 + h*r**2 = 0.
-1, 8
Let g(z) be the first derivative of -2*z**5/25 + 2*z**4 + 14*z**3/5 + 3354. What is h in g(h) = 0?
-1, 0, 21
Let b(p) be the second derivative of p**6/6 - p**5/2 - 15*p**4/4 + 5*p**3/3 + 20*p**2 + 6575*p. Solve b(o) = 0 for o.
-2, -1, 1, 4
Let b(r) be the third derivative of -43*r + 0 - 1/15*r**5 - r**2 + 0*r**7 - 1/168*r**8 + 1/15*r**6 + 2/3*r**3 - 1/4*r**4. Determine f, given that b(f) = 0.
-2, -1, 1
Suppose -4*m + 1 = -4*v - 3, -5*m + 13 = 3*v. Factor -96 - 108*z + m*z**2 + 248 + 1417 - 111.
2*(z - 27)**2
Suppose 513583 = 18*u + 513547. Let 0 - 14/9*a**3 + 10/3*a + 16/9*a**u = 0. What is a?
-1, 0, 15/7
Suppose -47/4*i**3 + 3/2*i**5 - 43/4*i**2 + 1/4*i**4 + 29/4*i + 15/2 = 0. What is i?
-2, -1, 5/6, 3
Let n = -1311987004 - -8408524687217/6409. Let j = 21/493 - n. What is l in -242/13 - 2/13*l**2 - j*l = 0?
-11
Factor -198582 + 260*t - 68934 + 7486 - 53570 - t**2 + 860*t.
-(t - 560)**2
Let n(a) be the second derivative of -a**7/49 + 211*a**6/105 + 803*a**5/70 + 271*a**4/14 + 76*a**3/21 - 148*a**2/7 - a - 44. Determine o, given that n(o) = 0.
-2, -1, 1/3, 74
Let a be (34 - 48) + 18 + (-477)/(-36). Determine y so that -3*y**5 - 93/4*y**2 + 39/2*y + a*y**4 + 6 - 33/2*y**3 = 0.
-1, -1/4, 1, 2, 4
Let t = -2911 + 2917. Let d(i) be the second derivative of 0*i**2 + 1/16*i**4 - t*i + 3/8*i**3 + 0. Factor d(y).
3*y*(y + 3)/4
Let 17 - 5*b + 75*b**2 - 78 - 3*b**3 - 42 - 53 + 89*b = 0. Calculate b.
-2, 1, 26
Let k(r) be the third derivative of 0*r**4 - 41*r**2 + 0 - 8/15*r**5 - 23/30*r**6 + r - 2/15*r**7 + 0*r**3 + 5/336*r**8. Suppose k(d) = 0. Calculate d.
-2, -2/5, 0, 8
Let u(a) be the third derivative of 7*a**6/220 - 716*a**5/55 - 187*a**4/4 - 618*a**3/11 + 1862*a**2 + 1. Let u(n) = 0. Calculate n.
-1, -3/7, 206
Let z = -708 + 722. Suppose 0 = -25*r + z*r + 55. Suppose 4*g**3 - 4/3*g**2 + 0 + 0*g - 4*g**4 + 4/3*g**r = 0. Calculate g.
0, 1
Let l(f) = -f**2 - f + 119. Let o be l(10). Let s(b) be the first derivative of 8/3*b**3 - o + 1/2*b**4 + 4*b + 5*b**2. Factor s(w).
2*(w + 1)**2*(w + 2)
Let h be 0 + -2 + 7 + -5 + 0. Let a = 23 - 18. Suppose 18*f**2 - 17*f**2 + 4 - a*f + h = 0. Calculate f.
1, 4
Let m(z) be the second derivative of -10*z**4 + 92/3*z**3 - 16*z**2 + 0 - 49/15*z**6 - 139*z - 217/10*z**5. Suppose m(b) = 0. What is b?
-4, -1, 2/7
Let c(d) = d**2 - 7*d + 10. Let b be c(7). Let q be -2 - (-1 + 0 - (18 - b)). Determine j so that j**3 - q*j**3 + 8*j**2 + 16*j**2 - 20*j + 2*j**3 = 0.
0, 1, 5
Let d = -443580 - -443582. Find l such that 26/3*l**2 + d + 10/3*l**3 + 22/3*l = 0.
-1, -3/5
Let j = 13225 + -13223. Let c(z) be the first derivative of -5/18*z**6 - 215/12*z**4 - 80/3*z - 140/3*z**j + 5 - 11/3*z**5 - 365/9*z**3. Factor c(l).
-5*(l + 1)**3*(l + 4)**2/3
Suppose -4*t - 21 = -1. Let g(a) = a**2 + a - 18. Let l be g(t). Factor 2/5*m + 0*m**l - 2/5*m**3 + 0.
-2*m*(m - 1)*(m + 1)/5
Let w(j) be the second derivative of 38*j - 1/42*j**4 - 5/7*j**2 + 2/7*j**3 + 0. Let w(q) = 0. What is q?
1, 5
Let k(g) be the second derivative of 0 - 9/16*g**2 - 7/8*g**3 + 5/32*g**4 + 60*g. Suppose k(m) = 0. What is m?
-1/5, 3
Suppose 32*d + 1250 = -1822. Let n be (d - -105) + (-6 - -1). Let 3/2*c**3 + 11/4*c**2 + 0 + 3/2*c + 1/4*c**n = 0. Calculate c.
-3, -2, -1, 0
Let n(d) be the second derivative of d**7/210 + 2*d**6/15 + d**5 - 10*d + 96. Factor n(y).
y**3*(y + 10)**2/5
Determine l, given that -8*l + 50 + 3167*l**3 + 38*l**2 - 3161*l**3 + 2*l**5 - 14*l**4 - 74 = 0.
-1, 1, 2, 6
Suppose 34*r + 41 - 147 = 336. Let k(w) be the second derivative of -1/78*w**4 + 0 - 2/39*w**3 - 1/13*w**2 - r*w. Suppose k(s) = 0. What is s?
-1
Let d be (9 - 8)/(27/405*27 - (-13)/(-10)). Factor -10*v**3 + 3*v**4 + 37/3*v**d + 4/3 - 20/3*v.
(v - 1)**2*(3*v - 2)**2/3
Factor -12 + 0*t - 6 + 9*t + 44190*t**2 - 44188*t**2.
(t + 6)*(2*t - 3)
Let h = -21085 + 21085. Let l(k) be the third derivative of -9*k**2 + h*k + 25/3*k**3 + 0 - 5/6*k**4 + 1/30*k**5. Factor l(z).
2*(z - 5)**2
Let v(c) = -17*c**2 - 3968*c + 3964. Let y(j) = -180*j**2 - 41664*j + 41622. Let q(w) = -148*v(w) + 14*y(w). Factor q(k).
-4*(k - 991)*(k - 1)
Let g(h) be the second derivative of -h**6/6 - 87*h**5/4 + 5*h**4/4 + 1315*h**3/6 + 435*h**2 - 6248*h. Solve g(o) = 0 for o.
-87, -1, 2
Let d(w) = -w - 16. Let a be d(-17). Let y(v) = -5*v**2 + 100*v + 625. Let m(u) = -u**2 - u + 2. Let g(j) = a*y(j) - 10*m(j). Determine b so that g(b) = 0.
-11
Solve 128*p**3 + 3164*p**2 + 73*p**4 - 7719*p**2 + 667*p**3 - 78*p**4 - 5355*p = 0 for p.
-1, 0, 7, 153
Let o(g) be the third derivative of -314*g**2 + 1/60*g**5 - 1/6*g**4 + 0 + 0*g**3 + 0*g. Find t such that o(t) = 0.
0, 4
Let p(m) be the third derivative of m**5/270 - m**4/12 - 28*m**3/3 + 135*m**2 + 2*m + 10. Determine l so that p(l) = 0.
-12, 21
Suppose 6*m - 4*m - 1 = 7. Let q(v) be the second derivative of 20/3*v**m - 10*v**3 + 0 + 31*v + 3/4*v**5 + 0*v**2. Factor q(n).
5*n*(n + 6)*(3*n - 2)
Let p = -912 - -915. Find q such that -26*q**5 + 27*q**5 + p*q**4 - 18*q**3 + 20*q**3 = 0.
-2, -1, 0
Suppose 2*v = 2*p + 6, 4*v = -6*p + 2*p - 28. Let r be v/5 - (4 + 128/(-20)). Factor 2*w**2 - 6*w**2 + 2*w**2 - 4*w + 3*w**r.
w*(w - 4)
Suppose 4*r - 9 = 3. Let o be 4 - (2/5 - (-1062)/(-30)). Factor -10*h**3 - 75*h - o*h**2 + 4*h**2 - 45 + 5*h**r.
-5*(h + 1)*(h + 3)**2
Let h be 6/22*11792/4824. Solve -6 - 20/3*i - h*i**2 = 0 for i.
-9, -1
Let d(p) be the third derivative of p**6/540 + 74*p**5/135 - 299*p**4/108 + 50*p**3/9 - 3*p**2 + 323*p. Factor d(v).
2*(v - 1)**2*(v + 150)/9
Let o(n) = -n - 39. Let d be o(6). Let y be (-6)/(-5)*d/(-27). Suppose 131*k**y - 55*k - 69*k**2 + 29 - 79 - 67*k**2 = 0. Calculate k.
-10, -1
Let q be (-120)/(-20) + 0 + -1. Factor 482*s**q - 12*s**2 - 959*s**5 - 32*s**3 - 3*s**4 + 482*s**5.
s**2*(s - 3)*(s + 2)*(5*s + 2)
Factor -3/2*f**2 + 156*f + 963/2.
-3*(f - 107)*(f + 3)/2
Let a = -40418 - -40423. Factor -4*b**3 - 2/9*b**a + 44/9*b**2 + 14/9*b**4 + 2/3 - 26/9*b.
-2*(b - 3)*(b - 1)**4/9
Let z(l) = -5*l**4 - 75*l**3 + 11*l**2 + 75*l + 4. Let q(f) = 15*f**4 + 225*f**3 - 36*f**2 - 225*f - 14. Let y(d) = -2*q(d) - 7*z(d). Factor y(b).
5*b*(b - 1)*(b + 1)*(b + 15)
Determine o so that -1500/7*o + 3/7 + 190464/7*o**2 - 738048/7*o**3 = 0.
1/248, 1/4
Let o be ((-4)/(-2) - 0)*((-189)/(-54) - -1). Let b be 0 + 4/2 + 0. Factor -17*d**2 + b*d**2 - o*d**3 + 4*d**3.
-5*d**2*(d + 3)
Let u(c) be the second derivative of c**7/189 + c**6/45 - 7*c**5/90 - 11*c**4/54 + 2*c**3/9 + 8*c**2/9 + 815*c - 4. Let u(y) = 0. What is y?
-4, -1, 1, 2
Let v(d) be the third derivative of -d**5/36 - 55*d**4/9 + 850*d**2. Factor v(o).
-5*o*(o + 88)/3
Let k(f) = 27*f + 20. Let y be k(0). Factor -3*r**3 - y*r - 16*r**2 - r**3 - 1649 + 1641.
-4*(r + 1)**2*(r + 2)
Suppose -4*p + 17*p - 286 = 0. Suppose 3*q + p = 31. Determine h, given that -3*h**5 + 6*h**q + 5*h + 2*h - 2*h - 12*h**2 - 8*h + 6*h**4 + 6 = 0.
-1, 1, 2
Let t(a) be the first derivative of -8*a**3/3 - 23*a**2/2 - 15*a + 56. Let i(v) = 9*v**2 + 24*v + 15. Let l(z) = -5*i(z) - 6*t(z). Find p such that l(p) = 0.
-5, -1
Let d be (-1)/((-16)/(-330))*((2 - (-209)/(-57)) + 1). Let -d*m**3 + 5/2*m + 25/4*m**2 + 0 + 5*m**4 = 0. Calculate m.
-1/4, 0, 1, 2
Let t(p) be the third derivative of 189*p**8/11 - 834*p**7/55 + 527*p**6/165 + 149*p**5/220 - 5*p**4/22 - 2*p**3/33 - 3273*p**2. Solve t(x) = 0 for x.
-1/14, 2/9, 1/4
Let 65*n**4 - 191*n**2 + 152*n**2 + 3*n**5 + 2*n**5 + 108*n**3 - 440*n - 18*n**3 - 221*n**2 = 0. What is n?
-11, -2, 0, 2
Let p(r) be the first derivative of -3*r**4/8 - 33*r**3 - 7437. Factor p(a).
-3*a**2*(a + 66)/2
Suppose 4*b - 49 - 71 = 0. Suppose 9*t - b = 6. Factor -f**4 + 4*f**t - 5*f**2 + 2*f**4.
5*f**2*(f - 1)*(f + 1)
Let m be (-10)/(((-51)/(-18) - 5) + 2). Determine r, given that -m*r**2 - 6*r**4 - 87*r**2 + 8*r**4 + 171*r - 66 - 5*r**4 + 45*r**3 = 0.
1, 2, 11
Let j(n) = 25*n**3 - 159*n**2 - 3080*n - 6375. Let i(r) = 5*r**3 - 33*r**2 