1
Let l(f) be the third derivative of f + 34*f**2 - 1/90*f**5 + 0*f**3 - 5/36*f**4 + 0. Factor l(d).
-2*d*(d + 5)/3
Let f(x) be the third derivative of -1/90*x**5 + 0 - 8/3*x**3 + 0*x + 153*x**2 + 11/36*x**4. Factor f(a).
-2*(a - 8)*(a - 3)/3
Let g(q) be the second derivative of -q**6/30 - 109*q**5/10 + 110*q**4/3 + 83*q - 4. Let g(v) = 0. What is v?
-220, 0, 2
Let p(c) be the second derivative of c**4/42 - 496*c**3/7 + 553536*c**2/7 + 5981*c. Suppose p(d) = 0. Calculate d.
744
Let z(r) be the third derivative of r**7/1260 - 23*r**6/720 + r**5/20 + 23*r**4/36 - 22*r**3/9 + 237*r**2 + 2. Suppose z(c) = 0. What is c?
-2, 1, 2, 22
Let v(k) be the first derivative of k**4/9 - 8*k**3/27 - 86*k**2/9 - 160*k/9 + 1107. Factor v(d).
4*(d - 8)*(d + 1)*(d + 5)/9
Let l(q) be the first derivative of 6*q**3 - 75*q**2/2 + 78*q + 3336. Let l(g) = 0. What is g?
2, 13/6
Let z(u) = 2*u**3 - 33*u**2 + 132*u + 29. Let l be z(9). Determine v, given that 4/7*v**3 + 0 + 5/7*v**l + 2/7*v + 1/7*v**4 = 0.
-2, -1, 0
Let r be ((-2 + 10)/(-128))/(3/8*-50). Let j(h) be the third derivative of -1/240*h**4 + 9*h**2 + 0 - r*h**5 + 0*h + 0*h**3. Factor j(c).
-c*(2*c + 1)/10
Let y = -1317 - -210721/160. Let n(l) be the third derivative of 1/16*l**3 + 0*l - 1/32*l**4 + y*l**5 - l**2 + 0. Factor n(s).
3*(s - 1)**2/8
Let y = 77223 + -77220. Determine p, given that -30/11*p**y + 24/11*p - 16/11 - 4/11*p**4 + 20/11*p**2 + 6/11*p**5 = 0.
-2, -1, 2/3, 1, 2
Suppose -c = -10 - 34. Let v = c + -41. Factor z + 307*z**4 - z**2 + 7*z**v + 6*z**2 - 304*z**4.
z*(z + 1)**2*(3*z + 1)
Let c(w) be the third derivative of -w**7/105 + 1903*w**6/30 - 804546*w**5/5 + 339786171*w**4/2 + 681182703*w**3 - 9*w**2 + 96*w - 1. Factor c(x).
-2*(x - 1269)**3*(x + 1)
Let y(f) = -10*f**2 + 71*f + 137. Let q(u) = -3*u**2 + u - 1. Let j(k) = -12*q(k) + 4*y(k). Factor j(n).
-4*(n - 70)*(n + 2)
Suppose 0 = b + 2*i - 10, 4*b - 40 = i - 6*i. Solve 29*q**2 + 237*q**3 + 2*q**5 + 2*q - 10 - 9*q**2 - 241*q**3 - b*q**4 = 0 for q.
-1, 1, 5
Let x = -148/475 - -919/1425. Find g, given that -x*g**2 + 0 - 58/3*g = 0.
-58, 0
Let p(y) be the first derivative of -243*y**4/16 - 207*y**3 - 543*y**2/8 - 15*y/2 - 813. Factor p(f).
-3*(f + 10)*(9*f + 1)**2/4
Let j be (-1)/((-1)/((-4)/(-14) + 323/119)). Let m be 1/(-3) - 19/(-39). Determine o, given that 2/13*o**j + 6/13*o + m + 6/13*o**2 = 0.
-1
Let s = -779662/3 + 259888. Let 0*a + 0*a**2 + 0 + s*a**4 - 4*a**3 = 0. Calculate a.
0, 6
Let y(m) = m**2 + 4*m**2 - 24*m - 6*m**2 + 20 + 7*m**2 - 3*m**3. Let g(v) = 10*v**3 - 17*v**2 + 74*v - 62. Let j(t) = 2*g(t) + 7*y(t). Factor j(d).
-(d - 4)*(d - 2)**2
Let n = 318 - 325. Let q(a) = -3*a**2 - 22*a - 2. Let y be q(n). Find f, given that -4 - 1/2*f**3 - 9/2*f**y + 13*f**2 - 12*f**4 + 2*f = 0.
-2, -1, 2/3
Let v be ((-8477)/147 + 57)*((-4)/20 - (-6)/(-20)). Factor -v*o**3 + 8/3*o**2 + 0 + 20/3*o.
-o*(o - 10)*(o + 2)/3
Let t = -6491 + 19481/3. Let r(h) = h**2 - 5*h - 30. Let p be r(9). Factor 7*l - t*l**2 - p + 1/3*l**3.
(l - 3)**2*(l - 2)/3
Let x(h) be the third derivative of -h**6/600 - 7*h**5/100 - 33*h**4/40 + 121*h**3/30 - 1423*h**2. Factor x(w).
-(w - 1)*(w + 11)**2/5
Factor 7/4*k**4 + 4*k**3 - 4 - 4*k + 2*k**2 + 1/4*k**5.
(k - 1)*(k + 2)**4/4
Solve 5740*l**2 + 10992*l - 100*l**3 - 3559 + 23323 + 10644*l = 0 for l.
-9/5, 61
Suppose -4*p - 2*f + 34 = 0, 0 = 2*p - 5*p + 3*f + 30. Let g be 2 - ((-42)/p)/7*33. Determine o, given that 12*o**2 + g*o**2 - 41*o**2 - 15*o = 0.
-3, 0
Let c(z) be the first derivative of -75*z**4/4 + 120*z**3 - 567*z**2/2 + 294*z + 2933. Let c(l) = 0. What is l?
7/5, 2
Find v, given that -36*v - 23*v**3 + 26*v**3 + 635*v**2 - 477*v**2 + 15*v**3 = 0.
-9, 0, 2/9
Let g(o) = -9*o**3 + 49*o**2 - 238*o + 205. Let d(n) = -5*n**3 + 25*n**2 - 119*n + 103. Let y(x) = 7*d(x) - 4*g(x). Find v, given that y(v) = 0.
1, 9, 11
Let h be 6/(-87) - (-32 - (-105823)/3335). Find b, given that -7*b - h*b**2 + 0 = 0.
-35, 0
Let t(z) be the second derivative of z**5/20 - z**4/3 - 19*z**3/6 - 7*z**2 + 440*z. Factor t(m).
(m - 7)*(m + 1)*(m + 2)
Let -29 - 30*m - 1/4*m**3 - 33/4*m**2 = 0. Calculate m.
-29, -2
Let q(d) be the third derivative of -5*d**8/336 - d**7/42 + 11*d**6/8 - 59*d**5/12 + 35*d**4/6 - 107*d**2 - 12*d + 1. Solve q(t) = 0.
-7, 0, 1, 4
Let s(k) be the second derivative of k**6/216 - 5*k**5/36 + 5*k**4/8 + 2*k**3/3 - k - 38. Let u(b) be the second derivative of s(b). Factor u(x).
5*(x - 9)*(x - 1)/3
Let b(d) be the first derivative of d**4/2 + 32*d**3/3 - 33*d**2/2 + 20*d + 186. Let y be b(-17). Factor -1/5*r**5 - 4/5 - 1/5*r**2 + r**y - 8/5*r + 1/5*r**4.
-(r - 2)**2*(r + 1)**3/5
Let w(i) = i**3 + i. Let k(b) be the third derivative of -1/30*b**5 + 1/30*b**6 + 0*b**3 + 0*b - 1/12*b**4 + 0 - 20*b**2. Let z(d) = k(d) - 2*w(d). Factor z(f).
2*f*(f - 2)*(f + 1)
Let m(n) be the second derivative of n**6/70 + 3*n**5/14 + 23*n**4/28 + n**3 - 780*n. Determine i so that m(i) = 0.
-7, -2, -1, 0
Let n(r) be the second derivative of r**7/12600 + r**6/1800 + 9*r**4/2 - r**2/2 + 84*r - 2. Let s(u) be the third derivative of n(u). Factor s(m).
m*(m + 2)/5
Let l(q) be the third derivative of -q**5/20 - 1019*q**4/4 - 1038361*q**3/2 - 2800*q**2. Factor l(w).
-3*(w + 1019)**2
Let b be 11/396*(21 + -5). What is i in -2/3*i**4 - b*i**2 + 0*i + 0 + 10/9*i**3 = 0?
0, 2/3, 1
Let c(q) be the second derivative of -21/10*q**3 + 8*q - 3/10*q**4 - 9/70*q**7 + 3/2*q**2 + 93/50*q**5 + 33/50*q**6 + 12. Solve c(x) = 0.
-1, 1/3, 5
Let q = -328 - -326. Let t be (q + 3)*3 + (-33)/11. What is f in -1/2*f + 1/2*f**3 - 1/4*f**4 + t + 1/4*f**2 = 0?
-1, 0, 1, 2
Let p(b) be the second derivative of -10240*b**2 - 20*b**4 - 1/4*b**5 - 68*b + 0 - 640*b**3. Factor p(r).
-5*(r + 16)**3
Suppose 32*u + 76*u = 5*u - 43*u. Let n(r) be the third derivative of 2/3*r**4 + u*r - 10*r**2 - 8*r**3 - 1/45*r**5 + 0. Factor n(p).
-4*(p - 6)**2/3
Let j(z) be the first derivative of -3*z**5/20 - 15*z**4/16 - z**3 - 3239. Factor j(b).
-3*b**2*(b + 1)*(b + 4)/4
Let h be (-24)/(-18) + ((-8)/12)/(-1). Suppose 0 = h*t + 2*w - 4, 4*t - w + 6 = 2*w. Factor 8/9*b + 16/9*b**2 + t + 10/9*b**3 + 2/9*b**4.
2*b*(b + 1)*(b + 2)**2/9
Let n(d) = 2*d**2 + 38*d - 79. Let o be n(2). Suppose -o*v = -v + 5*k, 0 = v + 2*k. Factor -6*h**3 + v - 14/5*h**2 - 8/5*h**5 - 2/5*h - 26/5*h**4.
-2*h*(h + 1)**3*(4*h + 1)/5
Let i = -487 - -528. Let b be ((6/(-4))/(-3))/(i/41). Suppose -b*r**2 + 5/2*r - 2 = 0. What is r?
1, 4
Factor -4508*i**2 - 5*i**3 + 1434*i**2 - 3992*i**2 - 430*i**2 - 774*i**2.
-5*i**2*(i + 1654)
Let z be ((-33)/88)/(6/56) + (-8)/(-2). Let q(i) be the second derivative of 7/108*i**4 + 26*i + z*i**2 + 0 + 5/18*i**3 + 1/180*i**5. Solve q(p) = 0 for p.
-3, -1
Let c(h) be the third derivative of -h**6/300 - 4*h**5/25 + 27*h**4/20 + 1073*h**2. Find w such that c(w) = 0.
-27, 0, 3
Let t be -2*(2/(-3) - 15154/36). Let d = -843 + t. Factor -4/9*i + d*i**2 + 2/9.
2*(i - 1)**2/9
Let j(t) = 286*t**3 - t**2 + 2*t - 1. Let g be j(-2). Let n = g + 2299. Factor -f**n - 2/5*f - 1/5*f**4 + 0 - 4/5*f**3.
-f*(f + 1)**2*(f + 2)/5
Suppose 0 = -2*p + 205 - 201. Factor -p*x + x**3 + x**3 + 22*x**4 - 24*x**4 + 0*x**3 + 2*x**2.
-2*x*(x - 1)**2*(x + 1)
Let x(g) = -g**3 - 8*g**2 + 2*g + 66. Let v be x(-7). Let i(n) be the first derivative of -6*n**2 - 2/3*n**v - 18*n - 24. Factor i(k).
-2*(k + 3)**2
Suppose 3*h - 3 = 3*v, -5*v = 42 - 72. Let m(n) be the first derivative of -2/25*n**5 - h + 0*n + 0*n**4 + 2/15*n**3 + 0*n**2. Factor m(g).
-2*g**2*(g - 1)*(g + 1)/5
Suppose -3*s + 460 = w - 5*w, 0 = w + 5*s + 92. Let z = -556/5 - w. Determine p so that 4/5 + 2/5*p**3 - 2/5*p - z*p**2 = 0.
-1, 1, 2
Let d(q) = q**2 - 58*q + 2500. Let g(l) = l**2 - 64*l + 2500. Let k(x) = -6*d(x) + 7*g(x). Factor k(a).
(a - 50)**2
Let k(d) = -3*d**2 - 32*d + 1. Let b(x) be the second derivative of -x**4/12 - x**2/2 - 49*x. Let t(g) = -b(g) - k(g). Factor t(m).
4*m*(m + 8)
Let w be -43 - (-1170)/39 - 80/(-6). Determine a so that 0 + 8/3*a + w*a**2 = 0.
-8, 0
Solve -875*f + 564*f - 480 - 115*f**2 - 279*f - 5*f**3 = 0 for f.
-16, -6, -1
Let m(c) be the second derivative of -c**5/80 + 2*c**4/3 - 149*c**3/24 - 91*c**2/4 + 3355*c. Factor m(w).
-(w - 26)*(w - 7)*(w + 1)/4
Let q(d) be the third derivative of 1 + 7/60*d**4 + 8*d**2 + 1/150*d**5 + 0*d - 6/5