 y*f + 0 = 0. Calculate f.
-1, 0, 1/2, 1, 2
Let f(u) be the third derivative of -u**5/12 + 45*u**4/8 + 75*u**3 - 416*u**2. Factor f(n).
-5*(n - 30)*(n + 3)
Let o be 17 - (81/216 - (-355)/24). Determine i so that -1 - 1/2*i**2 + 1/2*i**3 + 1/6*i**4 - o*i = 0.
-3, -1, 2
Let u(h) = 2*h**4 - 2*h**3 - h**2 - 5*h. Let a(i) = -9*i**4 + 60*i**3 + 18*i**2 - 15275*i + 93636. Let f(w) = a(w) + 5*u(w). Factor f(q).
(q - 9)**2*(q + 34)**2
Solve -1/2*n**3 + 0 - 416*n + 209*n**2 = 0.
0, 2, 416
Let t(s) = -15*s**2 - 3760*s - 3880. Let j(z) = 23*z**2 + 5639*z + 5832. Let v(y) = -5*j(y) - 8*t(y). Solve v(i) = 0 for i.
-376, -1
Suppose 320 + 44 = 7*q. Let t = 54 - q. Factor 24*j**2 + j + j - 4*j - 25*j**t.
-j*(j + 2)
Let o(m) = -m**2 + 2*m - 2. Let n be o(1). Let j be (-3)/((-9)/12) + n. Find w, given that -6*w**4 + 12*w**2 - 2*w**5 - j*w - 22*w**3 - w**5 + 28*w**3 - 6 = 0.
-2, -1, 1
Let d(s) be the second derivative of -s**8/2520 + s**7/420 - s**6/270 - 79*s**3/6 - 54*s. Let m(h) be the second derivative of d(h). Factor m(a).
-2*a**2*(a - 2)*(a - 1)/3
Let n be (-7 - (-132)/20)/((-1)/5). Let 2*q**2 + n*q**2 + 31*q**3 + q**5 - 32*q**3 - 4 - 3*q**4 + 3*q**2 = 0. Calculate q.
-1, 1, 2
Factor 2/5*i**2 - 912/5 - 28*i.
2*(i - 76)*(i + 6)/5
Let s(j) be the second derivative of 171*j**5/10 - 86*j**4/3 + j**3/3 - 3923*j. Determine r so that s(r) = 0.
0, 1/171, 1
Let y(m) = 29*m**3 - 10729*m**2 + 2451597*m - 17. Let h(l) = -5*l**3 + 1787*l**2 - 408599*l + 3. Let q(f) = 34*h(f) + 6*y(f). Factor q(r).
4*r*(r - 452)**2
Let g(d) be the second derivative of -8/11*d**2 + 100/33*d**3 + 193/33*d**4 - 96*d - 217/110*d**5 + 0. Suppose g(u) = 0. Calculate u.
-2/7, 2/31, 2
Let g(d) be the third derivative of -d**5/15 + 64*d**4/3 + 86*d**3 + 1480*d**2. Determine w, given that g(w) = 0.
-1, 129
Let k(h) = -2*h**2 + 53*h + 36. Let y be k(22). Let a = -463/2 + y. Factor 1/2*u**5 - 1/2*u**4 - a*u**3 + 4*u + 2 + 1/2*u**2.
(u - 2)**2*(u + 1)**3/2
Let f(t) be the first derivative of t**6/2 - 51*t**5/5 - 3*t**4/4 + 17*t**3 - 1483. Determine r, given that f(r) = 0.
-1, 0, 1, 17
Factor 3589*n**4 + 21*n**2 - 3604*n**4 + 7*n**5 + 24*n**3 - 4*n**5 - 21*n**5.
-3*n**2*(n + 1)**2*(6*n - 7)
Suppose 2*c + 4*w = -w + 45, -1 = w. Suppose -2*j + c + 17 = 0. Factor 0*x**2 - 3*x**4 + 4*x**2 - j*x**5 + 22*x**5.
x**2*(x - 2)**2*(x + 1)
Suppose -4*p = -c - c - 62, 2*p + 131 = -5*c. Let t = c + 27. Find z, given that -3*z**2 - 10*z + 3*z**3 - 3*z**2 + 13*z + t*z**2 = 0.
0, 1
Let d = 2 - 0. Let n = 49 - 42. Factor 6*k**d + n + 9 - 9*k**2 - 32*k + 15*k**2.
4*(k - 2)*(3*k - 2)
Let u = -17/4 - -1547/44. Let g = -4376/143 + u. Suppose -g*q**2 + 0 - 2/13*q**3 - 2/13*q = 0. What is q?
-1, 0
Let y(l) be the first derivative of -7*l**3/3 + 2039*l**2/2 - 582*l + 3200. Let y(u) = 0. What is u?
2/7, 291
What is l in 28/13 + 30/13*l + 2/13*l**2 = 0?
-14, -1
Let u be 82*47/(-27 + 1954). Solve -122/7*k**3 - 18/7*k**5 + 136/7*k - 48/7 + 96/7*k**4 - 52/7*k**u = 0.
-1, 2/3, 2, 3
Let h = 6107311/165 - 37014. Let m(x) be the third derivative of 1/33*x**3 + 49*x**2 - 1/33*x**4 + 0 + 1/55*x**5 + 0*x + 1/1155*x**7 - h*x**6. Factor m(a).
2*(a - 1)**4/11
Suppose 0 = 205*a - 199*a - 24. Factor 17*w**2 + 17*w**3 + 39*w**2 + 52*w**a - 389*w**3.
4*w**2*(w - 7)*(13*w - 2)
Let 3508/5*h + 56 + 3116/5*h**3 + 1252*h**2 + 84/5*h**4 = 0. What is h?
-35, -1, -2/21
Let s(d) be the third derivative of 2*d**5/3 - 11*d**4/12 + 103*d**2. Factor s(t).
2*t*(20*t - 11)
Let h = -31058 - -93175/3. Let u(j) be the second derivative of h*j**4 + 0 - 5*j - 8*j**2 + 0*j**3. Determine d so that u(d) = 0.
-2, 2
Factor -495*d + 3/4*d**2 + 81675.
3*(d - 330)**2/4
Let p(s) be the third derivative of -s**6/140 - 32*s**5/105 - 319*s**4/84 + 242*s**3/21 - 26*s**2. Solve p(n) = 0 for n.
-11, 2/3
Let x(r) be the first derivative of r**3 + 603*r**2 + 121203*r + 8535. Factor x(p).
3*(p + 201)**2
Let q(d) = -120*d**2 - 250*d - 120. Let y(a) = a**3 + a**2 + a - 1. Suppose -6 = 14*n + 8. Let c(r) = n*q(r) - 5*y(r). Factor c(v).
-5*(v - 25)*(v + 1)**2
Let y(l) be the first derivative of -4*l**5/35 + 3*l**4/7 + 8*l**3/21 - 24*l**2/7 + 32*l/7 + 1067. Solve y(b) = 0 for b.
-2, 1, 2
Let x = -133 - -130. Let n(u) = -2*u**3 - 3*u**2 - 2. Let g be n(x). Let g*d**3 - 17*d - 16*d - 7*d + 10*d - 65*d**2 = 0. Calculate d.
-2/5, 0, 3
Let o(d) be the second derivative of d**4/84 - 2662*d**3/21 + 3543122*d**2/7 - d + 5007. Factor o(i).
(i - 2662)**2/7
Let g = 8/25149 - -980771/125745. Factor -g*n**3 - 60 + 153/5*n**2 - 21*n + 3/5*n**4.
3*(n - 5)**2*(n - 4)*(n + 1)/5
Suppose -o + 30 = 5*o. Let i be (-6 - (-99)/18)*(-2)/o. Let -16/5 + 24/5*d + i*d**3 - 9/5*d**2 = 0. Calculate d.
1, 4
Let j(b) be the first derivative of 2/15*b**3 - 41 + 0*b - 7/5*b**2. Determine z, given that j(z) = 0.
0, 7
Factor 84 + 1/2*r**2 - 29/2*r.
(r - 21)*(r - 8)/2
Let o be 8 + (180/(-1170) - (-369)/(-52)). Find f such that o*f**3 + 15/4*f**2 - 3/4*f - 15/4 = 0.
-5, -1, 1
Suppose 164 = -10*f + 194. Find k such that 791*k + 10 - 60*k**f - 53*k**2 - 806*k - 25*k**2 - 7*k**2 = 0.
-1, -2/3, 1/4
Let y = 8/1273 + 1225/7638. Factor -s**4 + y*s**5 + 0 + 10*s**2 + 50/3*s - 11/6*s**3.
s*(s - 5)**2*(s + 2)**2/6
Let n(l) be the third derivative of -l**5/100 + 35*l**4/2 - 699*l**3/10 - 2*l**2 - 269*l - 7. Suppose n(i) = 0. Calculate i.
1, 699
Let b(j) be the first derivative of -275*j**3/9 + 145*j**2/3 - 5*j + 132. Factor b(c).
-5*(c - 1)*(55*c - 3)/3
Let n be (36 - 21)/(-30) + 12/3. Suppose -5/2*j**4 + 0*j + n*j**5 + 0*j**2 + 0 - j**3 = 0. Calculate j.
-2/7, 0, 1
Let b(h) = -12*h**2 + 776*h - 2240. Let y(k) = k**2 + k - 10. Let f(q) = 2*b(q) + 20*y(q). Factor f(l).
-4*(l - 390)*(l - 3)
Suppose -3*z = -5*w - 396, -14*w + 16*w + 5*z + 177 = 0. Let h be -7 - (5 + 1008/w). Factor -2/9*j**4 + 4/9*j**3 + 0*j**2 - h*j + 2/9.
-2*(j - 1)**3*(j + 1)/9
Let l = 9046252/1938483 + 2/1938483. Suppose -16/9*w**3 + 0 - l*w**2 - 4*w - 2/9*w**4 = 0. Calculate w.
-3, -2, 0
Let p(v) be the third derivative of v**7/42 + v**6/12 - 5*v**5/4 - 20*v**4/3 - 40*v**3/3 - 5309*v**2. Suppose p(a) = 0. Calculate a.
-4, -1, 4
Determine l so that -1/2*l**2 + 395/2 - 197*l = 0.
-395, 1
Let d(u) be the second derivative of -3*u**5/40 - 41*u**4/2 - 161*u**3/4 + 489*u**2/2 - u + 646. Solve d(q) = 0.
-163, -2, 1
Let n = -550/3847 + 7147/23082. Suppose 0 + 13/6*f**2 + n*f**4 - 7/3*f**3 + 0*f = 0. What is f?
0, 1, 13
Let k(m) = -m**2 + 8*m + 22. Let t be k(10). Solve -50 - 76*r - 11 - 17 + 2*r**t = 0 for r.
-1, 39
Let s(o) be the second derivative of -2*o**2 + 2 + 1/6*o**4 + 1/3*o**3 - 34*o. Factor s(f).
2*(f - 1)*(f + 2)
Let z(n) = 2*n + 4 + n**2 + 5*n**4 - 3*n**3 + n**3 - 2*n**4 + 4*n**3. Let f(y) = -4*y**4 - 2*y**3 - y**2 - 3*y - 5. Let o(g) = 4*f(g) + 5*z(g). Factor o(k).
-k*(k - 2)*(k - 1)*(k + 1)
Let d(f) be the first derivative of -21/16*f**2 + 9/8*f - 209 - 1/3*f**3. Factor d(w).
-(w + 3)*(8*w - 3)/8
Let x = 1249551/291557 - 3/41651. Factor -2/7*o**4 + 0 - 18/7*o - 2*o**3 - x*o**2.
-2*o*(o + 1)*(o + 3)**2/7
Let o(n) be the second derivative of n**8/560 + n**7/350 - n**6/40 + 3*n**5/100 - 53*n**2/2 - 308*n. Let i(g) be the first derivative of o(g). Factor i(k).
3*k**2*(k - 1)**2*(k + 3)/5
Suppose -32*o = -69*o + 27*o + 20. Let z(t) be the first derivative of 1/2*t**4 + 22 + 5/3*t**o + 4/3*t**3 + 1/15*t**5 + t. Let z(f) = 0. What is f?
-3, -1
Factor -29*r**2 - 143 + 105*r - 59 + 15*r**2 + 12*r**2.
-(r - 2)*(2*r - 101)
Factor 490 + 810*k**2 - 1397*k**2 - k**3 - 137*k + 535*k**2.
-(k - 2)*(k + 5)*(k + 49)
Let l(p) be the second derivative of -p**5/4 + 25*p**4/3 - 145*p**3/2 - 270*p**2 + 2*p - 1480. Determine r, given that l(r) = 0.
-1, 9, 12
Let g(j) be the first derivative of -20/13*j + 11/13*j**2 - 2/39*j**3 - 47. Factor g(w).
-2*(w - 10)*(w - 1)/13
Let r(d) = -2*d**2 + 34*d + 12. Let y(u) = -10*u**2 + 174*u + 78. Let w(z) = -11*r(z) + 2*y(z). Factor w(s).
2*(s - 12)*(s - 1)
Let u(x) be the second derivative of -x**5/70 + 2*x**4/21 + 52*x**3/7 + 576*x**2/7 + 1292*x + 1. Factor u(b).
-2*(b - 16)*(b + 6)**2/7
Let w(z) be the second derivative of -z**5/40 + 55*z**4/24 - 101*z**3/4 + 441*z**2/4 + 3049*z - 1. Factor w(l).
-(l - 49)*(l - 3)**2/2
Let b(q) be the first derivative of 46/27*q**3 + 0*q + 0*q**2 + 1/18*q**4 - 109. Determine n, given that b(n) = 0.
-23, 0
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