actor -972/5 - 72/5*m - 1/5*m**2.
-(m + 18)*(m + 54)/5
Suppose -5*b + 5*y - 4*y + 14 = 0, 2*y + 13 = 5*b. Find f such that 255*f - 383*f + 0*f**2 + 32*f**2 - 2*f**b = 0.
0, 8
Let n = -14 - -22. Suppose -n = 6*r - 32. Factor 18*j**4 - 11*j**r + 2*j**4 + 6*j**3 - 6*j**5.
-3*j**3*(j - 2)*(2*j + 1)
Factor -2278125 - 30375*b - 135*b**2 - 1/5*b**3.
-(b + 225)**3/5
Let k(i) = i**4 + 6*i**3 + 23*i**2 + 34*i - 8. Let w(v) = v**4 + 7*v**3 + 25*v**2 + 33*v - 6. Let l(d) = 3*k(d) - 4*w(d). Factor l(q).
-q*(q + 2)*(q + 3)*(q + 5)
Suppose -31*k - 48041 + 48165 = 0. Suppose 0*a - 8/5*a**3 + 0*a**2 + 2/5*a**k + 0 = 0. What is a?
0, 4
Suppose -4*d = m + 4497, 4*d + 2243 = 4*m - 2269. Let l = d + 2271/2. Factor 16*j**2 + 0 + l*j**3 + 11/4*j**4 + 1/4*j**5 + 8*j.
j*(j + 1)*(j + 2)*(j + 4)**2/4
Let s = 181 - 29. Determine i so that 6*i**3 - 147*i**5 - 11*i**3 + s*i**5 = 0.
-1, 0, 1
Suppose -12 = -6*g + 12. Let w(k) = 9*k**2 + g + 9 + 5 - 22. Let q(v) = -26*v**2 + 11. Let b(s) = -4*q(s) - 11*w(s). Factor b(n).
5*n**2
Let v = -171 - -529/3. Let x = 909/2 - 2695/6. Determine h so that -x*h + v*h**3 - 8/3*h**2 - 4/3 + 4*h**4 = 0.
-1, -1/3, 1
Let q be 151 + -146 + -3 + -2. Let b(g) be the second derivative of -1/60*g**5 - 5/6*g**3 - 7/36*g**4 - 11*g + q - 3/2*g**2. Solve b(a) = 0.
-3, -1
Let q = -187597 + 187600. Find d, given that 4*d**q - 8/5*d**2 - 4/5*d**4 + 96/5 - 16*d = 0.
-2, 2, 3
Let t(o) be the first derivative of 2*o**3/39 + 114*o**2/13 + 448*o/13 - 1235. Find n, given that t(n) = 0.
-112, -2
Let b(v) be the second derivative of -4*v**4/21 + v**3/7 + 11*v**2/7 - 415*v. Solve b(r) = 0 for r.
-1, 11/8
Let i = 10311 - 10309. Let q(v) be the first derivative of 38 - 4*v + v**i - 1/2*v**4 + 4/3*v**3. Factor q(y).
-2*(y - 2)*(y - 1)*(y + 1)
Let -16 - c**3 - 105*c**3 + 97*c**3 - 36*c - 28*c**2 - c**4 = 0. What is c?
-4, -2, -1
Let s be ((-6 + 3 - -4) + -2)*49. Let m(b) = 2*b**2 + 97*b - 46. Let h be m(s). Factor -5/2*v - h - 1/2*v**2.
-(v + 2)*(v + 3)/2
Let u(h) be the second derivative of -h**4/6 - 107*h**3/3 - 412*h**2 + 981*h - 2. Determine s so that u(s) = 0.
-103, -4
Let h(j) be the first derivative of -1/17*j**2 - 26/51*j**3 - 198 + 0*j. Factor h(k).
-2*k*(13*k + 1)/17
Let a(q) = 128*q**2 + 7607*q - 22. Let x(i) = 35*i**2 + 1902*i - 6. Let g(n) = -6*a(n) + 22*x(n). Factor g(s).
2*s*(s - 1899)
Let d be (-22)/(-110) + (-14)/72. Let n(t) be the third derivative of d*t**5 + 2*t**2 + 1/9*t**4 + 0*t + 0 + 8/9*t**3. Factor n(a).
(a + 4)**2/3
Let m(a) be the first derivative of a**6/8 + a**5/40 - a**4/4 + a**3 - 19*a**2/2 + 27. Let k(j) be the third derivative of m(j). Find f such that k(f) = 0.
-2/5, 1/3
Suppose -27 - 104 - 13 = -36*p. Let d be (((-8)/(-2) + -4)/(-3))/1. Factor d*z - 4/7*z**3 - 6/7*z**p + 0*z**2 + 0.
-2*z**3*(3*z + 2)/7
Let y be -10*(16/50)/((-20)/50). Factor -21*g**2 - 10*g + 30*g - y*g - 6*g.
-3*g*(7*g - 2)
Let l(v) be the first derivative of -v**4/28 - 50*v**3/21 - 187*v**2/14 - 138*v/7 + 70. Factor l(t).
-(t + 1)*(t + 3)*(t + 46)/7
Let h be (1 + -1 + 12/6)/1. Factor -1372 + 25*o**4 + 621*o - 29*o**4 + 88*o**3 - 672*o**h + 1339*o.
-4*(o - 7)**3*(o - 1)
Let c(k) be the third derivative of -k**7/1050 - 19*k**6/600 - 17*k**5/75 + 11*k**4/6 + 2*k**2 - 851. Factor c(r).
-r*(r - 2)*(r + 10)*(r + 11)/5
Let r = -29125 + 87377/3. Let t = 11 + -8. Solve 10/3*n**2 - 4/3*n - r*n**4 - 8/3 - 1/3*n**5 + 5/3*n**t = 0.
-2, -1, 1, 2
Suppose -725*r + 372*r = -312*r - 82. Solve 28/11 - 2/11*v**r - 10/11*v = 0.
-7, 2
Suppose 132*w = 133*w - 224. Factor 3 - 26 - 7*p**5 - 105 + 11*p**5 + 192*p**2 + 8*p**5 - 64*p + w*p**3 + 88*p**4.
4*(p + 2)**4*(3*p - 2)
Let d(q) be the first derivative of 1/9*q**3 + 4/3*q - 1/30*q**5 - 1/8*q**4 - 140 + q**2. Determine n so that d(n) = 0.
-2, -1, 2
Factor 0 - 1/4*d**2 + 275/4*d.
-d*(d - 275)/4
Let w be ((-3128)/3680 + (-1)/4 + 34/40)/(-1). Factor 0 - 9/4*d + w*d**4 + 9/4*d**3 - 1/4*d**2.
d*(d - 1)*(d + 1)*(d + 9)/4
Let j(p) = 19*p - 2*p**3 + 3*p**3 - 1 - 18*p. Let n(o) = -o**4 - 14*o**3 + o**2 + 18*o - 2. Let i(y) = -10*j(y) + 5*n(y). Suppose i(z) = 0. What is z?
-16, -1, 0, 1
Let h(c) = -c + 20. Let y be h(16). Suppose w - 13*w = -24. What is k in 9/4*k**w - 3/4*k + 0 + 3/4*k**y - 9/4*k**3 = 0?
0, 1
Let a(d) be the third derivative of -4*d**2 + 1/56*d**7 + 0*d + 9/40*d**5 - 3 - 1/896*d**8 - 33/320*d**6 + 0*d**4 + 0*d**3. Factor a(o).
-3*o**2*(o - 4)*(o - 3)**2/8
Suppose -4*l + 69*f + 5615 = 66*f, 4*l - 5616 = 4*f. Let r = -1401 + l. Solve -1/4*t**4 + t**3 + 0 + 0*t - 3/4*t**r = 0.
0, 1, 3
Let z(k) be the second derivative of k**4/20 + 9*k**3/5 - 189*k**2/10 + 2234*k. Factor z(p).
3*(p - 3)*(p + 21)/5
Let z(b) be the third derivative of 0 + 0*b**3 + 0*b**5 + 109*b**2 + 0*b**4 + 1/2016*b**8 + 1/84*b**7 + 0*b - 1/45*b**6. Factor z(c).
c**3*(c - 1)*(c + 16)/6
Let n be 24 + (0 - (-2 - -1)). Let k = n + -22. Suppose 698 - 698 - 3*t**k - t**4 + t**2 + t**3 + 2*t = 0. Calculate t.
-2, -1, 0, 1
Let a(p) be the second derivative of p**4/12 - 13*p**3/2 - 41*p**2 - 1111*p. Determine m, given that a(m) = 0.
-2, 41
Let v(s) = 4*s**2 - 115*s. Let x(i) = -9*i**2 + 238*i. Let l(n) = 7*v(n) + 3*x(n). Suppose l(m) = 0. What is m?
0, 91
Let -24*j**3 - 4*j**5 - 33*j**4 - 12*j**2 + 18*j**4 + j**5 = 0. What is j?
-2, -1, 0
Let s(o) be the first derivative of o**9/7560 - o**8/700 + 3*o**7/700 - 2*o**3/3 - 5*o - 10. Let h(k) be the third derivative of s(k). Factor h(a).
2*a**3*(a - 3)**2/5
Factor -7/3*v**2 - 5/9*v**3 + 1/9*v**4 - 8/9 - 23/9*v.
(v - 8)*(v + 1)**3/9
Suppose -7*y + 65 = 184. Let s = y + 17. Factor s + 6/5*g**2 - 24/5*g**3 + 6*g**4 + 0*g - 12/5*g**5.
-6*g**2*(g - 1)**2*(2*g - 1)/5
Determine s, given that 285/2 + 85/4*s**3 - 215/4*s**2 + 5/4*s**4 - 445/4*s = 0.
-19, -2, 1, 3
Factor 15/2*x - 99/4 + 1/4*x**2.
(x - 3)*(x + 33)/4
Suppose -648*c = -639*c - 137916. Let k be c/204 + 4/(-34). Determine t so that -4 + 30*t + 125/2*t**3 - k*t**2 = 0.
2/5
Suppose 2 = 2*j, -4*i = -i + 2*j - 17. Find x such that -2*x - 2044*x**i + 15*x**3 + 2049*x**5 + 15*x**4 + 5*x**2 + 2*x = 0.
-1, 0
Let i = -1 - -5. Suppose i*d - 37 = 15. Factor -d*s + 5*s + 4*s - 4*s**2.
-4*s*(s + 1)
Let k(q) = -3*q**3 + 43*q**2 - 53*q + 31. Let u(m) = -22*m**3 + 300*m**2 - 374*m + 216. Let j(a) = -20*k(a) + 3*u(a). Let j(d) = 0. Calculate d.
1, 14/3
Let w(s) be the third derivative of 0*s + 0 + 1/30*s**5 - 190*s**2 - 2*s**3 + 1/12*s**4. Factor w(a).
2*(a - 2)*(a + 3)
Suppose -73*r - 50 = -415. What is z in 0 - 2/3*z**4 + 8/3*z**2 - 2/3*z**r + 4*z**3 - 16/3*z = 0?
-2, 0, 1, 2
Let d be ((11808/3157)/36)/(7/((-245)/(-10))). Solve d*o**2 + 2/11*o**3 - 10/11*o - 12/11 = 0 for o.
-3, -1, 2
Let n be 1*3*(-25)/(-20). Let y be (-153)/(-45) + 1 - 6 - 92/(-20). Find c such that -y*c**3 + 3/4*c**4 + 0 - 3/2*c + n*c**2 = 0.
0, 1, 2
Let y be (-11 + 1)*(-14)/28. Suppose 39 = y*h + 14. Determine s so that s**2 + 4*s**4 - 5*s**3 + 10*s + s**2 - h*s**3 - 6*s = 0.
-1/2, 0, 1, 2
Let z = -89 - -99. Solve -52*x + 47*x - z*x**2 + 11*x**2 = 0 for x.
0, 5
Let s(y) be the second derivative of 25/27*y**3 + 0 - 5/9*y**4 + 125/18*y**2 + 191*y + 7/90*y**5 - 1/270*y**6. Factor s(g).
-(g - 5)**3*(g + 1)/9
Let z(t) be the third derivative of -t**9/45360 + t**8/10080 - t**7/7560 + 11*t**4/2 - 2*t**2 - 44*t. Let f(d) be the second derivative of z(d). Factor f(k).
-k**2*(k - 1)**2/3
Solve 1/3*j**4 + 99*j**3 - 99*j - 296/3 + 295/3*j**2 = 0 for j.
-296, -1, 1
Suppose -513*u + 374 = -524*u. Let o be 0*(7/(-5) + u/(-85)). Determine m so that o*m**3 - 8/9*m**2 + 2/3*m**4 + 0 + 0*m - 2/9*m**5 = 0.
-1, 0, 2
Factor 3/5*i**3 - 6/5 - 3*i + 3/5*i**4 - 9/5*i**2.
3*(i - 2)*(i + 1)**3/5
Let p(i) be the first derivative of i**6/180 + i**5/60 - i**4/18 - 2*i**3/9 + 99*i + 64. Let n(u) be the first derivative of p(u). Factor n(o).
o*(o - 2)*(o + 2)**2/6
Suppose -1773 - 401 = -220*a - 194. Let x(y) be the first derivative of a - 1/6*y**2 + 1/12*y**4 + 2/3*y - 2/9*y**3. Factor x(t).
(t - 2)*(t - 1)*(t + 1)/3
Find f such that -256/9 + 64/9*f**2 + 8/9*f - 2/9*f**3 = 0.
-2, 2, 32
Let i(g) = 7*g - 26. Let h be i(4). Factor 219 + h*t**2 - 219.
2*t**2
Let b(m) be the third derivative of m**8/2520 - 4*m**7/1575 + 8*m**5/225 - 4*m**4/45 + 7*m**2 - 12. Let b(a) = 0. What is a?
-2, 0, 2
Let s = -14917912/65 - -229930. Let m = -4842/13 + s. Factor 1