**3 - 45/4*u + 0 - 9/2*u**2.
-u*(u + 3)*(u + 15)/4
Let c(l) be the third derivative of 0*l**3 - 13*l**2 + 0 + 5/72*l**4 + 7/360*l**6 + 11/180*l**5 + 1/630*l**7 + 0*l. Factor c(p).
p*(p + 1)**2*(p + 5)/3
Determine n so that 76/3*n + 5/2 - 31/6*n**2 = 0.
-3/31, 5
Let a(o) = 3*o**2 + 3*o - 36. Let k(h) = 3*h**2 + 3*h - 36. Suppose 2*d - 4 = -16. Let w(g) = d*k(g) + 5*a(g). Let w(m) = 0. Calculate m.
-4, 3
Suppose 11*z - 80 = -5*z - 32. Let t = 1/6 - -5/42. Determine r, given that -2/7*r**2 - 2/7*r**z + 2/7 + t*r = 0.
-1, 1
Let q(y) = y**3 + 9*y**2 - 2*y - 34. Let n be q(-7). Let c be (-143)/n*(-2)/22. Let 2/3*h - c*h**4 + 2/3*h**2 + 1/3*h**5 - 3/2*h**3 + 0 = 0. What is h?
-2, -1/2, 0, 1, 2
Let s(i) be the second derivative of 2/9*i**3 - 14*i + 0 + 0*i**2 + 0*i**4 - 1/60*i**5. Factor s(h).
-h*(h - 2)*(h + 2)/3
Let l(w) be the second derivative of -w**6/480 - 7*w**5/160 + 2*w**3/3 - w**2/2 + 40*w. Let f(t) be the second derivative of l(t). Factor f(a).
-3*a*(a + 7)/4
Let g(z) be the second derivative of -1/165*z**6 - 1/110*z**5 + 0*z**2 + 0 + 114*z + 5/66*z**4 - 1/11*z**3. Factor g(w).
-2*w*(w - 1)**2*(w + 3)/11
Let m(i) be the second derivative of 49*i**5/330 + 14*i**4/33 + 16*i**3/33 + 7*i**2 + 307*i. Let o(h) be the first derivative of m(h). What is d in o(d) = 0?
-4/7
Let o(q) be the second derivative of -3/32*q**4 + 1/80*q**5 + 0 + 1/96*q**6 - 11*q - 7/3*q**3 + 0*q**2. Let c(a) be the second derivative of o(a). Factor c(u).
3*(u + 1)*(5*u - 3)/4
Factor -3*d**4 + 111*d**3 - 72*d**3 - 9*d**2 - 51*d**3.
-3*d**2*(d + 1)*(d + 3)
Let o(j) be the second derivative of -j**4/18 + 113*j**3/9 + 38*j**2 + 956*j. Suppose o(v) = 0. What is v?
-1, 114
Let j(f) be the first derivative of f**6/12 - 129*f**5/10 - 66*f**4 - 266*f**3/3 + 7345. Find k such that j(k) = 0.
-2, 0, 133
Let l = -382/95 + 402626/100035. Let s = l - -343/2106. Suppose 350/3*g + 29/6*g**3 + 45*g**2 + s*g**4 - 500/3 = 0. What is g?
-10, 1
Let g be (-2)/8*-24*(-27)/405*-10. Factor 4/7*h**4 - g*h + 4*h**3 + 0 - 4/7*h**2.
4*h*(h - 1)*(h + 1)*(h + 7)/7
Let y be (2/(-6))/(-4*7/168). Let g be y + (-14)/4*(-4)/(-7). Solve 9/4*s + 1/4*s**3 + g + 3/2*s**2 = 0.
-3, 0
Let s(f) be the first derivative of f**3/18 - 29*f**2/12 - 1927. Factor s(x).
x*(x - 29)/6
Let w(z) be the third derivative of -z**7/11340 + 11*z**6/3240 + z**5/45 - 3*z**4/8 + 4*z**2 + 14*z. Let r(j) be the second derivative of w(j). Factor r(v).
-2*(v - 12)*(v + 1)/9
Let t(k) be the second derivative of -k**5/330 - k**4/6 - 7*k**3/11 + 265*k**2/2 + 155*k + 1. Let h(i) be the first derivative of t(i). Factor h(c).
-2*(c + 1)*(c + 21)/11
Factor 2/7*w**2 + 900/7 - 190/7*w.
2*(w - 90)*(w - 5)/7
Let y be 2 + (-1)/(22/40). Let h = 58774 + -646511/11. Factor 1/11*w**2 + y - h*w.
(w - 2)*(w - 1)/11
Let g(l) be the third derivative of l**8/5040 + l**7/105 - l**5/30 - 11*l**4/3 + 61*l**2. Let o(q) be the third derivative of g(q). Factor o(p).
4*p*(p + 12)
Let d(s) be the first derivative of 1/3*s**4 - 2/3*s**3 - 19 - 1/20*s**5 + 0*s**2 + 21*s. Let j(q) be the first derivative of d(q). Let j(b) = 0. What is b?
0, 2
Let 49912*x**3 - 35904 + 136009 + 932*x**4 + 4*x**5 - 512456*x**2 + 836590*x + 1363995 + 66070*x = 0. Calculate x.
-121, -1, 5
Suppose -69 + 33 = -6*z. Let v be ((-18)/(-24))/(z/4). Factor v*j**3 + 1/2*j**2 - j + 0.
j*(j - 1)*(j + 2)/2
Let u(k) be the first derivative of 0*k - 15/16*k**4 - 21/8*k**2 + 21 - 13/4*k**3 + 3/20*k**5. Suppose u(h) = 0. What is h?
-1, 0, 7
Let h(l) be the first derivative of 2/21*l**3 - l**2 + 12/7*l - 96. Factor h(p).
2*(p - 6)*(p - 1)/7
Let h = 753295/17 + -44311. Suppose h*z**4 + 8/17*z - 8/17*z**2 - 2/17*z**5 + 0 - 6/17*z**3 = 0. What is z?
-1, 0, 1, 2
Let r(p) be the second derivative of 17*p**6/165 - 9*p**5/10 - 3*p**4/11 - 355*p - 4. Factor r(j).
2*j**2*(j - 6)*(17*j + 3)/11
Let m be 41 + 532/(-19) + -11. Let k(n) be the third derivative of -1/42*n**7 + 5/24*n**6 - 1/3*n**5 + 0*n**4 + 0 + 0*n**3 + 0*n - 31*n**m. Factor k(g).
-5*g**2*(g - 4)*(g - 1)
Let i(u) = u + 8. Let m(f) = 3*f + 25. Let k(l) = 8*i(l) - 3*m(l). Let v be k(-19). Solve 152*p**2 + 0*p - 140*p**2 + 4*p**3 + 0*p + v*p = 0.
-2, -1, 0
Find r such that -136/7*r**2 - 2442/7*r - 2/7*r**3 - 4356/7 = 0.
-33, -2
Let s(t) be the third derivative of 0 - 52/15*t**6 + 0*t**3 + 0*t - 1/35*t**7 + 1225/6*t**4 + 293*t**2 - 707/6*t**5. Factor s(h).
-2*h*(h + 35)**2*(3*h - 2)
Let g(t) be the second derivative of t**4/36 - 23*t**3/9 + 205*t**2/6 + 49*t + 57. Factor g(k).
(k - 41)*(k - 5)/3
Let i(w) be the second derivative of -729/23*w**2 - 1/138*w**4 - 18/23*w**3 - 159*w + 0. Find m such that i(m) = 0.
-27
Let l(h) be the third derivative of -h**7/42 + 71*h**6/40 - 563*h**5/20 + 3415*h**4/24 + 275*h**3 + 7425*h**2. Find c, given that l(c) = 0.
-2/5, 5, 33
Let j(w) be the first derivative of -w**5/25 + 9*w**4/10 - 61*w**3/15 + 36*w**2/5 - 28*w/5 + 619. Factor j(a).
-(a - 14)*(a - 2)*(a - 1)**2/5
Factor 4/7*k**2 + 3512/7*k + 770884/7.
4*(k + 439)**2/7
Let y be ((-21)/2)/((-90)/1560). Suppose 0 = -188*o + y*o. Determine t so that o - 12*t**3 + 14/3*t**4 - 2/3*t**5 - 16/3*t + 40/3*t**2 = 0.
0, 1, 2
Suppose 107/2*g - 105 - 1/2*g**2 = 0. What is g?
2, 105
Let g(s) be the first derivative of 119 - 1/9*s**2 + 0*s - 8/27*s**3. Solve g(u) = 0 for u.
-1/4, 0
Let q(h) be the second derivative of 0 + 1/8*h**2 + 32*h + h**3 + 3*h**4. Factor q(t).
(12*t + 1)**2/4
Factor 0 + 55/4*i**2 - 5/4*i**4 + 45/2*i - 10*i**3.
-5*i*(i - 2)*(i + 1)*(i + 9)/4
Let k(f) = -16*f**3 + 39*f**2 - 40*f - 144. Let t(x) = -7*x**3 + 20*x**2 - 20*x - 68. Let j(q) = 3*k(q) - 7*t(q). Factor j(n).
(n - 22)*(n - 2)*(n + 1)
Let m(z) = 5*z**3 - 215*z**2 + 865*z - 1289. Let y(i) = -2*i**3 + 33*i**2 + i + 1. Let r(q) = -3*m(q) - 6*y(q). Suppose r(a) = 0. Calculate a.
3, 143
Let f(t) be the third derivative of -t**9/19656 + t**8/5460 + 3*t**3/2 - 63*t**2. Let o(y) be the first derivative of f(y). Find v, given that o(v) = 0.
0, 2
Let -112*f + 44 + 18 + 31*f**2 + 11889*f**3 + 20 + 26 - 11890*f**3 = 0. What is f?
2, 27
Factor 19*g**2 - 284*g + 111*g**2 - 151*g - 129*g**2 - 436.
(g - 436)*(g + 1)
Let l = 25816/19389 + 12/6463. Determine p so that -52/3*p - 169/3*p**2 - l = 0.
-2/13
Suppose -1/3*f**2 + 247/3*f + 0 = 0. What is f?
0, 247
Suppose -m - 7 = -22*b + 25*b, 31 = 3*m - 4*b. Let g be m/((-1)/((-8)/20)) + 0. Let 0 - 3/4*l**3 + 0*l**g + 0*l = 0. Calculate l.
0
Let k be (-9)/(-27)*4*((-18)/(-3) + -3). Let c(q) be the first derivative of -24/7*q - 110/21*q**3 + 8*q**2 - 25/14*q**k - 14. Solve c(a) = 0.
-3, 2/5
Let u(y) be the second derivative of -y**6/10 - 51*y**5/20 - 53*y**4/4 - 7*y**3/2 + 117*y**2 + 6*y + 49. Solve u(l) = 0 for l.
-13, -3, -2, 1
Find d, given that 295*d - 5666 + 5682 + 6561*d**4 + 2289*d - 52326*d**3 + 103681*d**2 = 0.
-1/81, 4
Suppose 3*x - 640 = 23*x. Let j be ((-1)/(x/(-3)))/((-24)/32). Solve 3/8*r**2 + 0 - j*r + 1/8*r**4 - 3/8*r**3 = 0.
0, 1
Suppose -32*z + 11*z - 32 = -16 - 100. Factor -9*q - 3*q**2 + 7/3*q**3 + 18 - 1/3*q**z.
-(q - 3)**3*(q + 2)/3
Let b(z) be the first derivative of -5*z**3/3 - 615*z**2 + 2480*z - 2190. Find t such that b(t) = 0.
-248, 2
Let n(l) be the third derivative of -l**8/6720 - l**7/280 + 7*l**6/240 - l**5/30 + 19*l**3/6 + l**2 - 13. Let c(d) be the third derivative of n(d). Factor c(b).
-3*(b - 1)*(b + 7)
Factor -6*g**2 + 1260 - 6*g - 20*g**2 - 301*g - 125*g + 30*g**2.
4*(g - 105)*(g - 3)
Let n(b) = -b**3 + 132*b**2 + 24*b - 2940. Let r be n(132). Solve -r*m**2 - 8664*m + 0 - 3/2*m**3 = 0 for m.
-76, 0
Let c(m) be the second derivative of -m**5/10 + 10*m**4/3 - 67*m**3/3 + 48*m**2 - m - 803. Find h such that c(h) = 0.
1, 3, 16
Let v be 8 - (-21 + (-5 - 3)). Let v*x - 23 + 4*x**2 - 29*x - 65 - 94*x - 2*x**2 = 0. Calculate x.
-1, 44
Factor z - 31*z - 14*z + 240 + 2*z**2.
2*(z - 12)*(z - 10)
Determine p so that -490/3 + 1/6*p**3 + 164*p - 83/2*p**2 = 0.
2, 245
Let d(m) be the third derivative of 27*m**8/1064 + 162*m**7/665 - m**6/285 - 4*m**5/95 + 11658*m**2. Solve d(c) = 0.
-6, -2/9, 0, 2/9
Let t = 60885 + -60883. Let b = 1733/7 - 247. Factor -24/7*s + 32/7 + b*s**t.
4*(s - 4)*(s - 2)/7
Let g(w) = -9*w - 1. Let f(o) = -o**2 - 4*o + 175. Let m(d) = -3*f(d) + 3*g(d). What is k in m(k) = 0?
-11, 16
Suppose s = -2*f - 600, -5*s - 5*f = -9*f + 2972. Let