*b**2 + 2*b. Let z(p) be the first derivative of l(p). Solve z(m) = 0.
-5, 0
Factor -22*x**2 + 33*x**2 - 16 + 140*x - 28*x**2 - 107*x**2.
-4*(x - 1)*(31*x - 4)
Factor 116*g**2 - 9*g**2 + 449*g - 534137 - g**3 + 533582 + 0*g**3.
-(g - 111)*(g - 1)*(g + 5)
Let p(z) be the second derivative of -z**5/100 + 3*z**4/40 + 2*z**3/5 - 9*z**2/2 - z - 33. Let w(b) be the first derivative of p(b). Factor w(j).
-3*(j - 4)*(j + 1)/5
Factor 80/9*u + 0 + 2/9*u**2.
2*u*(u + 40)/9
Determine p so that 97470 + 5/6*p**2 - 570*p = 0.
342
Let r(h) = -16*h - 98. Let o be r(-6). Let s be (-12)/o*(-30)/(-90). Factor 2/3*j**s + 8/3 + 8/3*j.
2*(j + 2)**2/3
Suppose 23*p - 1244 = -1175. Suppose -1/4*c**p + 4*c + 0 - 3/2*c**2 = 0. Calculate c.
-8, 0, 2
Suppose 36*n = 43*n - 1918. Let r = n - 272. Find x such that 1/3*x + x**3 + 0 + 1/3*x**4 + x**r = 0.
-1, 0
Suppose 4*m - 9*m + 5 = 4*h, 3*h - 2*m = -2. Let w(x) be the third derivative of h*x + 10*x**2 + 1/40*x**6 - 1/8*x**4 - 1/5*x**5 + 2*x**3 + 0. Factor w(y).
3*(y - 4)*(y - 1)*(y + 1)
Let m(b) be the first derivative of 40/13*b - 19/13*b**2 + 47 - 2/39*b**3. Let m(t) = 0. What is t?
-20, 1
Suppose -5*q = 10*f - 6*f + 778, 2*q + 316 = -4*f. Let g be -16*(-2 + (-301)/q). Let 8/11*h**2 - 6/11*h**3 + 0 + g*h = 0. Calculate h.
-2/3, 0, 2
Suppose 12 = -4*j - 4*i, -3*j = -4*i + 1 + 1. Let w be 3 - ((7 - 4) + j). Factor -304*q - q**3 - 20*q**w - 4*q**3 + 289*q.
-5*q*(q + 1)*(q + 3)
Suppose -3*u = -3*g + 210, -g + 276 = 3*g - 3*u. Let 99*m**2 + 38*m + 58*m**3 - g*m**3 + 51*m**2 = 0. What is m?
-1/4, 0, 19
Let w(k) = -817*k - 181372. Let m be w(-222). Factor 0 + 1/4*q**2 - 1/4*q**4 + m*q**3 - 2*q.
-q*(q - 8)*(q - 1)*(q + 1)/4
Let b = 44 - 46. Let z be (b + 2)/(-7 + 6 + 2). Suppose z*m**2 - 3/2*m**4 + 3/2 + 3*m - 3*m**3 = 0. Calculate m.
-1, 1
Let r(d) = 6*d. Let i be r(1). Suppose -14*j + 401 + 47 = 0. Factor -4*o**2 - 41 - i - 17 - j*o.
-4*(o + 4)**2
Let 2/9*z**4 - 2/9*z**2 + 10/9*z**3 - 10/9*z + 0 = 0. What is z?
-5, -1, 0, 1
Suppose -11*u + 7*u + 44 = 0. Suppose -y + u*y = 90. Factor 34*v - 65*v - y*v**2 + 33*v.
-v*(9*v - 2)
Let x(u) be the second derivative of 0 + 0*u**3 + 0*u**2 + 1/6*u**4 - 1/10*u**5 + 89*u. Factor x(j).
-2*j**2*(j - 1)
Let j(c) be the first derivative of 29 + 1/9*c**4 + 1/10*c**5 + 0*c**2 - 11/270*c**6 + 7/3*c**3 + 0*c. Let i(t) be the third derivative of j(t). Factor i(f).
-4*(f - 1)*(11*f + 2)/3
Factor 2184 + 1455*w - 27*w**2 - 14*w**2 - 1293*w + 44*w**2.
3*(w + 26)*(w + 28)
Factor -1/3*f**2 + 0 + 8/3*f.
-f*(f - 8)/3
Determine n so that -282*n + 207998*n**2 - 422*n - 123904 - 207999*n**2 = 0.
-352
Let l(h) = h**3 + 38*h**2 + 38*h + 39. Let q be l(-37). Determine s so that 54*s**2 + 10*s**q + 80*s**3 + 62*s**5 + 9*s**4 - 58*s**5 + 23*s**4 = 0.
-4, -2, 0
Let h(g) be the first derivative of -4/21*g**3 + 12/7*g - 5/7*g**2 + 1/14*g**4 - 5. Let h(s) = 0. What is s?
-2, 1, 3
Let t(c) be the second derivative of -c**7/252 + 4*c**6/45 - 17*c**5/40 + c**4/2 - 222*c. Solve t(u) = 0.
0, 1, 3, 12
Let o be (-223 - (-6 - 1))/(-2). Let z = 217/2 - o. Factor -1/4 - j - j**2 + 1/2*j**3 + z*j**5 + 5/4*j**4.
(j - 1)*(j + 1)**3*(2*j + 1)/4
Let w(i) be the first derivative of -4*i**5/5 - 6*i**4 + i**3 + 17*i**2/2 - 6*i + 3091. Factor w(a).
-(a + 1)*(a + 6)*(2*a - 1)**2
Let r(k) = k**3 + 922*k + 923. Let g be r(-1). Factor 63/8*n**2 + 1/8*n**4 + 15/8*n**3 + g + 49/8*n.
n*(n + 1)*(n + 7)**2/8
Let x = -68 + 5. Let m = 50 - x. Determine k, given that -112*k**2 + m*k**2 + 0*k - k = 0.
0, 1
Let v(i) be the second derivative of 235*i**4/6 - 157*i**3 + 2*i**2 - 3349*i. What is u in v(u) = 0?
1/235, 2
Find r such that -127312/3*r**2 + 0 - 173318/9*r**3 - 95048/9*r - 1028/3*r**4 - 14/9*r**5 = 0.
-109, -2, -2/7, 0
Let m = -33 + 36. Factor 2*d**4 - 118713*d**m + 118698*d**3 - 5*d**4.
-3*d**3*(d + 5)
Determine q, given that 2/5*q**2 - q**4 + 3/5 + 1/5*q**5 + 6/5*q**3 - 7/5*q = 0.
-1, 1, 3
Let 0*z + 2/15*z**5 - 16/15*z**4 - 44/15*z**2 + 0 - 62/15*z**3 = 0. What is z?
-2, -1, 0, 11
Let k(l) be the first derivative of -l**5/2 - 35*l**4/24 + 305*l**3/18 - 445*l**2/12 + 95*l/3 - 1580. Solve k(o) = 0 for o.
-19/3, 1, 2
Let i(c) be the first derivative of -4*c**3 - 3*c**2 + 3. Let x(j) be the first derivative of j**3/3 + j**2/2 + 394. Let f(t) = 4*i(t) + 44*x(t). Factor f(g).
-4*g*(g - 5)
Let w(f) = -36*f**3 + 62*f**2 - 438*f + 2. Let i(n) = -233*n**3 + 371*n**2 - 2627*n + 13. Let j(h) = 2*i(h) - 13*w(h). Determine a, given that j(a) = 0.
0, 10, 22
Let j(k) be the first derivative of 3*k**5/40 + k**4/8 - 67*k - 17. Let v(t) be the first derivative of j(t). Factor v(m).
3*m**2*(m + 1)/2
Let i(k) = -6*k**3 - 72*k**2 - 107*k - 22. Let n(z) = -z**3 - 12*z**2 - 18*z - 4. Let w(t) = 6*i(t) - 38*n(t). Let w(b) = 0. What is b?
-10, -1
Let u(q) be the third derivative of 2*q**7/525 - 23*q**6/75 + 52*q**5/5 - 2873*q**4/15 + 30758*q**3/15 - 2253*q**2. Factor u(n).
4*(n - 13)**3*(n - 7)/5
Let u(p) be the first derivative of -4*p**5/35 - 26*p**4/7 - 800*p**3/21 - 1100*p**2/7 - 1500*p/7 + 14720. Let u(w) = 0. What is w?
-15, -5, -1
Let g(v) = -v - 8. Let r be g(-11). Let t(d) be the third derivative of 0 + 2/15*d**r + 0*d - 7*d**2 + 1/75*d**5 + 1/15*d**4. Factor t(k).
4*(k + 1)**2/5
Suppose 26*f = 54*f. Let o(a) be the second derivative of -2*a + f*a**3 + 5/12*a**4 + 0 - 10*a**2. Let o(i) = 0. What is i?
-2, 2
Let p(n) be the third derivative of n**7/5040 - n**6/120 + 11*n**5/240 - n**4/9 + 8*n**3/3 + 34*n**2. Let y(l) be the first derivative of p(l). Factor y(g).
(g - 16)*(g - 1)**2/6
Let b be (27/18)/((-4)/(-8)). Suppose -10*c + 9 + 3*c + 0 + c**b + 7*c**2 - 10*c = 0. What is c?
-9, 1
Let z = 4414 - 22069/5. Let b(g) be the second derivative of z*g**5 + 21*g + 0*g**2 - 2/3*g**3 + 0*g**4 + 0. Factor b(k).
4*k*(k - 1)*(k + 1)
Let p be (-117)/27 + 3 + 503/(-12). Let u = p + 869/20. Factor -u*v**2 - 2/5 - 3/5*v.
-(v + 1)*(v + 2)/5
Let j(u) be the third derivative of -1/120*u**6 + 0*u + 0*u**4 + 0*u**5 - 2*u**2 + 11 + 2/315*u**7 + 0*u**3 - 1/1008*u**8. Solve j(w) = 0.
0, 1, 3
Let v(c) be the second derivative of c**5/10 + 95*c**4/36 - 59*c**3/9 + 17*c**2/6 - 57*c - 10. Find i such that v(i) = 0.
-17, 1/6, 1
Let b(y) be the third derivative of -y**8/21 + 38*y**7/105 + 3*y**6/10 - 19*y**5/15 - 5*y**4/6 - 1526*y**2. Solve b(v) = 0 for v.
-1, -1/4, 0, 1, 5
Let w be (-276 + 276)*(-4)/(-128). Factor -63/2*j**4 + 0 - 16*j**3 + w*j - 2*j**2.
-j**2*(7*j + 2)*(9*j + 2)/2
Let o = -139 - -139. Let a(r) be the third derivative of -1/20*r**5 - 5*r**2 + 1/8*r**4 + 0 + o*r**3 + 0*r. Solve a(m) = 0 for m.
0, 1
Let o be 3*13 - (-79344)/(-2204). Let 20/3 + o*z**2 + 92/3*z = 0. What is z?
-10, -2/9
Let p(b) be the first derivative of 50*b**3/3 - 6527*b**2 + 1044*b + 2954. Factor p(n).
2*(n - 261)*(25*n - 2)
Let w(k) be the first derivative of 2*k**6/21 - 924*k**5/5 + 124509*k**4 - 89480468*k**3/3 - 2338. Let w(u) = 0. What is u?
0, 539
Let i(q) = -95*q - 11396. Let w be i(-120). Solve 18/13*z**2 - 22/13*z - 12/13 - 6/13*z**w + 2*z**3 - 4/13*z**5 = 0.
-3, -1, -1/2, 1, 2
Let t be 2385/414 + (-78)/299. Find q such that -13/2*q**2 + q + 0 + t*q**3 = 0.
0, 2/11, 1
Let v(r) be the second derivative of r**5/25 + 41*r**4/15 + 592*r**3/15 + 512*r**2/5 + 1427*r. Find o, given that v(o) = 0.
-32, -8, -1
Let v(g) = g**2 - 17*g - 643. Let x be v(36). Let o(n) = -5*n + 207. Let k be o(x). Factor 5/3*f**3 + 0*f + 0 - f**k - 1/3*f**5 - 1/3*f**4.
-f**2*(f - 1)**2*(f + 3)/3
Let i be -10 + 5 + 10/2. Suppose i = 2*v + j - 22, -15 = -v - j - 3. Determine u, given that 4*u + 4*u**3 - 4*u**2 + v*u**3 - 23*u**3 + 6*u**3 = 0.
-2, 0, 2/3
Let l(t) = -18*t**3 - 756*t**2 - t - 38. Let y be l(-42). Let -3/2*k + 0 - 6*k**3 - 1/2*k**5 - 5*k**2 - 3*k**y = 0. What is k?
-3, -1, 0
Let k(j) be the third derivative of j**7/105 - 211*j**6/150 + 3131*j**5/50 - 1025*j**4/3 + 6724*j**3/15 + 1432*j**2. Solve k(v) = 0 for v.
2/5, 2, 41
Let i(g) be the third derivative of 2*g**7/15 - 61*g**6/30 + 57*g**5/5 - 45*g**4/2 - 36*g**3 + 2601*g**2. Factor i(f).
4*(f - 3)**3*(7*f + 2)
Suppose 5*a + 4*p = -4, 2*a = -3*p - 0*p - 3. Suppose 61*t + 29*t + a*t**2 - 377 - 28 - 5*t**2 = 0. Calculate t.
9
Let q = -86809 + 86811. Factor 5 + 1/3*f**q - 16/3*f.
(f - 15)*(f - 1)/3
Let y(o) = -25*o**2 + 997*o. Let k(g) = -10*g**2 + 498*g. Let f