t p be ((-755)/(-195) + -4)/((-8)/6). Let c = 2/13 + p. Let -1/2*k**2 + 1/4 + c*k = 0. What is k?
-1/2, 1
Let a be 4/(13/(104/112)). Let y = -64/19 - -752/133. Factor -a*d - 10/7*d**3 - 4/7 + y*d**2.
-2*(d - 1)**2*(5*d + 2)/7
Let q(b) be the first derivative of 1/3*b**6 + 37 + 0*b**2 + 0*b + 1/2*b**4 + 0*b**3 - 4/5*b**5. Find t such that q(t) = 0.
0, 1
Let c(h) be the first derivative of 0*h**3 - 9/20*h**5 + 0*h**2 + 0*h - 3/8*h**4 - 1/8*h**6 + 18. Determine w, given that c(w) = 0.
-2, -1, 0
Let b(w) be the first derivative of -11*w**3/3 + 3*w**2 + 5*w + 31. Let m(q) = -q + 1. Let k(i) = -2*b(i) + 22*m(i). Factor k(a).
2*(a - 1)*(11*a - 6)
Find p such that -42/5*p**2 - 66/5 + 21*p + 3/5*p**3 = 0.
1, 2, 11
Determine t, given that 1/4*t**3 + 0 + 0*t**2 - t = 0.
-2, 0, 2
Let z = 35 - 31. Suppose -225*v**z - 150*v**2 + 45*v**5 + 40*v + 370*v**3 + 97*v**2 - 167*v**2 = 0. Calculate v.
0, 1/3, 2/3, 2
Let n = -9 - -17. Factor -4*g**2 + n - g**2 + 0*g**2 - 10*g + 7.
-5*(g - 1)*(g + 3)
Find p such that -4*p - 64*p**3 + 58*p**3 - 2*p**4 + 10*p**2 + 3*p**5 - p**5 = 0.
-2, 0, 1
Let v(m) be the second derivative of m**4/42 - 10*m**3/21 - 39*m**2/7 - 146*m. Suppose v(i) = 0. What is i?
-3, 13
Let z = -652 - -924. Determine f, given that -3*f**3 - 287 - 60*f - z - 24*f**2 + 511 = 0.
-4, -2
Let w = -2944 + 2946. Find k such that 0*k + 0*k**3 - 1/3*k**4 + 0 + 1/3*k**w = 0.
-1, 0, 1
Suppose 0 - 2/11*i**3 + 4/11*i**2 + 0*i = 0. What is i?
0, 2
Suppose 4*r - 16 - 96 = 0. Let q be (80/r)/((-4)/(-14)). Factor -3*s + 4*s**3 + 10*s**4 + 3*s - q*s**2 - 4*s + 0*s**3.
2*s*(s - 1)*(s + 1)*(5*s + 2)
Let c(j) be the second derivative of j**9/6804 + j**8/1890 + j**7/1890 + 11*j**3/6 - 4*j. Let g(z) be the second derivative of c(z). Factor g(x).
4*x**3*(x + 1)**2/9
Let c(l) be the first derivative of l**3/24 + l**2/4 + 3*l/8 - 111. Find z such that c(z) = 0.
-3, -1
Let z(d) = -6*d**5 - 8*d**4 - 5*d**3 + 4*d**2 + 5. Let f(n) = 7*n**5 + 9*n**4 + 6*n**3 - 4*n**2 - 6. Let b(l) = 5*f(l) + 6*z(l). Factor b(r).
-r**2*(r - 1)*(r + 2)**2
Let l(d) = -12*d**4 - 28*d**3 + 40*d**2 + 92*d + 40. Let n(k) = -k**5 + k**4 + k**3. Let y(b) = -l(b) + 4*n(b). Factor y(z).
-4*(z - 5)*(z - 2)*(z + 1)**3
Let j(m) = 30*m**2 - 38*m - 74. Let r(g) = g**2 + g - 1. Let d(x) = j(x) + 6*r(x). Let d(v) = 0. Calculate v.
-10/9, 2
Let n(f) be the first derivative of -1/2*f**6 + 0*f**2 + 0*f - 3/4*f**4 + 0*f**3 - 6/5*f**5 - 5. Factor n(l).
-3*l**3*(l + 1)**2
Let q be -1 + (1/(-2))/(36/(-240)). Let x = q - 2. Factor g**4 - 5/3*g**3 + 1/3*g + x*g**2 + 0.
g*(g - 1)**2*(3*g + 1)/3
Let h(j) = -3*j + 26. Let r(l) = -4*l + 63. Let v be r(14). Let u be h(v). Find o, given that 3/7*o**2 - 3/7*o**3 + 0*o - 3/7*o**4 + 3/7*o**u + 0 = 0.
-1, 0, 1
Let a(p) = 2*p**2 - 3*p - 94. Let s be a(9). Suppose 10*t - s + 11 = 0. Factor -2/5*l**t - 6/5*l**2 + 0 + 0*l.
-2*l**2*(l + 3)/5
Let j = -64 - -70. Let l be (-1)/(-2)*(-4 - (-33)/j). Let 1/2 - 1/2*v**2 + 0*v**4 + v**3 - l*v - 1/4*v**5 = 0. Calculate v.
-2, -1, 1
Determine l so that 113*l**2 - 63*l**2 - 24*l + 28 - 54*l**2 = 0.
-7, 1
Let i be (-5)/((3/15)/(-1)). Let g be ((-61)/5)/((-5)/i). What is t in -t + g*t**3 - t - 59*t**3 = 0?
-1, 0, 1
Let -16/15 + 2/15*r**2 + 14/15*r**4 + 2/15*r**5 + 26/15*r**3 - 28/15*r = 0. What is r?
-4, -2, -1, 1
Let u(n) = 9*n**2 + 52*n + 47. Let d(w) = 20*w + 16. Let v(o) = -o**2 + 21*o + 16. Let y(g) = -4*d(g) + 3*v(g). Let p(h) = 2*u(h) + 7*y(h). Factor p(f).
-3*(f + 2)*(f + 3)
Let a(y) = -y + 2*y + 16 - 3 + 3. Let r be a(-7). Find v such that -1 - 3 - 3*v**2 + r*v**2 + 2 - 4*v = 0.
-1/3, 1
Let f(q) be the first derivative of -4/3*q**3 - 6 + 1/2*q**4 + q**2 + 0*q. What is l in f(l) = 0?
0, 1
Solve 1/8*m**3 + 69/4*m**2 + 12167 + 1587/2*m = 0 for m.
-46
Suppose -32 + 9 = -3*y - 11. Factor -4/7*d**y - 12/7 + 24/7*d**3 - 48/7*d**2 + 40/7*d.
-4*(d - 3)*(d - 1)**3/7
Let z(c) be the second derivative of c**9/7560 - c**8/1680 + c**7/1260 - 7*c**4/6 + 4*c. Let g(d) be the third derivative of z(d). Determine x so that g(x) = 0.
0, 1
Let q(t) be the second derivative of 11*t - 1/6*t**4 + 1/30*t**6 + 0 + 9/2*t**2 + 2*t**3 - 1/5*t**5. Factor q(g).
(g - 3)**2*(g + 1)**2
Let a = 15 + -9. Suppose 0 = 7*v - a*v - 2. Factor -2*j**v + 3 + 0*j**2 - j**2 + 3*j**3 + 2*j - 5*j.
3*(j - 1)**2*(j + 1)
Let c(b) = 15*b**3 + 199*b**2 + 38*b - 57. Let m(h) = 5*h**3 + 66*h**2 + 12*h - 18. Let d(w) = -6*c(w) + 19*m(w). Factor d(v).
5*v**2*(v + 12)
Let k(r) = 18*r**4 - 128*r**3 + 190*r**2 - 26*r - 42. Let j(y) = 19*y**4 - 128*y**3 + 191*y**2 - 25*y - 43. Let i(c) = 6*j(c) - 7*k(c). Solve i(m) = 0.
-1/3, 1, 9
Factor -36*n + 90*n**2 - 347*n**3 + 76*n**2 + 329*n**3.
-2*n*(n - 9)*(9*n - 2)
Let d = 395/174 - 7/348. Find f, given that 3*f**3 - 3/2 - d*f**2 - 27/4*f = 0.
-1, -1/4, 2
Factor -32*z - 1/2*z**3 + 0 + 8*z**2.
-z*(z - 8)**2/2
Let w = -320 + 322. Let 0*u - 1/4*u**5 - 3/2*u**4 + 0 - w*u**2 - 3*u**3 = 0. Calculate u.
-2, 0
Let v = -38 + 43. Factor -l**3 + v*l**3 + l**4 + 4*l**3 - 2*l**2 - 7*l**3.
l**2*(l - 1)*(l + 2)
Let q(l) = l**5 + l**4 - l**3 + 1. Let d(h) = -5*h**5 + 17*h**4 + 73*h**3 + 71*h**2 + 24*h - 4. Let f(s) = -3*d(s) - 12*q(s). Find x, given that f(x) = 0.
-1, 0, 24
Let a(r) = 2*r**4 - 12*r**3 - 56*r**2 - 40*r - 2. Let w(x) = -10*x**4 + 59*x**3 + 280*x**2 + 200*x + 11. Let j(q) = 11*a(q) + 2*w(q). Factor j(m).
2*m*(m - 10)*(m + 1)*(m + 2)
Let n be (160/(-72) - -2) + (-5)/(-15). Factor 0 - n*u**2 + 0*u + 1/9*u**4 + 0*u**3.
u**2*(u - 1)*(u + 1)/9
Let o be -22*2/4*-1. Suppose -2*i = 5 - 13. Suppose -3*c**4 + i*c**2 + 4*c**3 - 4*c - o*c**4 + 10*c**2 = 0. Calculate c.
-1, 0, 2/7, 1
Let k = -1 + 1. Let s be -12 - 8/(-3)*(-924)/(-176). Determine d so that -12*d**s + 15/2*d**3 + 6*d - 3/2*d**4 + k = 0.
0, 1, 2
Let j(r) be the third derivative of r**5/45 - r**4/6 - 140*r**3/9 - 74*r**2. Suppose j(t) = 0. What is t?
-7, 10
Solve -2*a - 2/3*a**2 - 4/3 = 0.
-2, -1
Suppose 2*w - w - 2 = 0. Let f be (-3 + 1)*-2 - w. Factor 0*v**2 - 265*v + 3*v**f + 265*v.
3*v**2
Let u(y) be the second derivative of 0*y**3 + 0*y**2 - 2/3*y**4 + 0 + 1/5*y**5 - 8*y. Find x such that u(x) = 0.
0, 2
Let v(n) be the first derivative of 8*n - 2/3*n**3 - 15/2*n**2 + 21. Find z, given that v(z) = 0.
-8, 1/2
Factor 0 + 54/11*c - 2/11*c**2.
-2*c*(c - 27)/11
Let t = -391/6 + 66. Let l(h) be the third derivative of 0*h + 0 - 5/3*h**4 - 4/3*h**3 - t*h**5 - 6*h**2. Determine k so that l(k) = 0.
-2/5
Let g(y) be the third derivative of -1/350*y**7 - 3/10*y**4 - 2/5*y**3 - 13/100*y**5 + 0 - 9*y**2 + 0*y - 3/100*y**6. Factor g(u).
-3*(u + 1)**2*(u + 2)**2/5
Let i(p) = -2*p - 24. Let k be i(-16). Let t be k*3/(-30)*-5. Determine o so that 40*o**4 + 343*o**5 + 459*o**3 + 213*o**3 + 16*o - 1020*o**t - 176*o**2 = 0.
0, 2/7, 2
Let p(u) be the first derivative of u**8/8400 - u**7/4200 - u**6/900 + 6*u**3 + 9. Let h(v) be the third derivative of p(v). Factor h(c).
c**2*(c - 2)*(c + 1)/5
Suppose -7*l + 7 = -6*l. Let m(x) be the first derivative of -l + 0*x - 1/2*x**4 - 4/3*x**3 + 3*x**2. Factor m(i).
-2*i*(i - 1)*(i + 3)
Let y be (-28)/(-42) + 20/6. Suppose -2*m = y*m - 12. Solve 3*i**3 - m*i**3 - 4*i**4 + 3*i**4 + 0*i**4 = 0 for i.
0, 1
Let h(a) = 19*a - 589. Let i be h(31). Let y(q) be the third derivative of 1/480*q**6 - 1/96*q**4 + 0*q**3 + i - 2*q**2 + 0*q + 0*q**5. Factor y(m).
m*(m - 1)*(m + 1)/4
Suppose -m = -2*d - 7, 0*m - 2*d = -4*m + 34. Suppose -m*k + 11 = -7. Factor 2/5*n**3 + 2/5*n**k - 2*n + 6/5.
2*(n - 1)**2*(n + 3)/5
Let k(b) = -b**2 + 272*b + 288. Let d(g) = -135*g - 144. Let n(z) = -5*d(z) - 3*k(z). Find c, given that n(c) = 0.
-1, 48
Factor 2/7*c**4 + 5/7*c - 1/7*c**5 + 12/7*c**3 + 0 + 2*c**2.
-c*(c - 5)*(c + 1)**3/7
Let s(t) be the first derivative of t**4/4 - t**3 + 3*t**2/2 + 7*t - 12. Let v(h) be the first derivative of s(h). Find p, given that v(p) = 0.
1
Let s = -793 - -793. Let i(w) be the third derivative of 1/15*w**5 + s + 0*w + 11*w**2 - 1/6*w**4 + 0*w**3. Factor i(p).
4*p*(p - 1)
Factor u**2 - 331*u**2 - 404*u - 30*u + 6*u**3 - 54*u + 480 - 22*u**2.
2*(u - 60)*(u + 2)*(3*u - 2)
Let n = -196 - -200. Let k(h) be the first derivative of n + 0*h + 3*h**2 + 3*h**3 - 15/4*h**4. Factor k(j).
-3*j*(j - 1)*(5*j + 2)
Factor 0*d**3 - 1/3*d**5 + 0*d**2 + 0 + 0*d + 5*d**4.
-d**4*(d - 15)/3
Let g(k) be 