 + 44*m**3 + 72*m**2. Factor b(f).
3*(f - 2)**2*(7*f + 2)**2/2
Let r(x) = x**3 - 2*x**2 - 195*x + 4. Let w be r(15). Factor -24/7 + 4/7*c**w - 52/7*c - 4*c**2 + 4/7*c**3.
4*(c - 3)*(c + 1)**2*(c + 2)/7
Suppose 13*f = 15*f - 4. Let l be (-114)/(-54) + f*-1. Factor 0 + 1/9*u**3 + 0*u**2 - l*u.
u*(u - 1)*(u + 1)/9
Let k(w) be the second derivative of -w**7/210 - w**6/10 - 29*w**5/100 + 69*w**4/20 - 27*w**3/5 - 277*w. Find h such that k(h) = 0.
-9, 0, 1, 2
Let l(n) = -113*n - 1. Let h be l(-1). Factor h*x**4 + 5*x**3 - x**3 - 110*x**4.
2*x**3*(x + 2)
Let q(b) be the second derivative of -1849*b**6/30 - 43*b**5/5 - b**4/3 - 322*b. Determine r so that q(r) = 0.
-2/43, 0
Let i(f) be the third derivative of -f**8/210 + 17*f**7/105 - 203*f**6/100 + 1519*f**5/150 - 343*f**4/60 - 596*f**2. Factor i(b).
-2*b*(b - 7)**3*(4*b - 1)/5
Let p(b) = 18*b**3 - 60*b**2 - 225*b - 57. Let k(c) = 17*c**3 - 61*c**2 - 224*c - 56. Let x(v) = 3*k(v) - 4*p(v). Factor x(z).
-3*(z - 5)*(z + 2)*(7*z + 2)
Let u(d) be the second derivative of -d**7/525 + d**6/450 + 7*d**2/2 + 2*d. Let x(i) be the first derivative of u(i). Let x(m) = 0. Calculate m.
0, 2/3
Let p be 69/9*1 + 4/(-6). Let b be 14/(-16)*(-2)/p. Let -1/4*f - 1/4*f**2 + b*f**3 + 1/4 = 0. What is f?
-1, 1
Let j = 0 + 5. Suppose -5*n - j = -10. Determine r, given that -n + 5*r**2 + 7 - 6 = 0.
0
Find q such that 1/2*q**3 + 20*q - 13/2*q**2 - 18 = 0.
2, 9
Let g be (-946)/(-134)*6/(-24). Let a = -1/67 - g. Factor 1/2*l**2 + 0*l + 0 + a*l**3.
l**2*(7*l + 2)/4
Factor -798*h**2 + 38*h - 9*h**3 - 10*h**3 + 30*h**4 + 25*h + 3*h**5 - 798*h - 17*h**3.
3*h*(h - 5)*(h + 1)*(h + 7)**2
Let a(v) be the third derivative of v**8/1344 + v**7/252 - v**6/48 + 29*v**4/24 - 16*v**2. Let z(u) be the second derivative of a(u). Factor z(f).
5*f*(f - 1)*(f + 3)
Suppose -204 = -5*v - 3*f - f, -4*v = 5*f - 156. Determine k, given that v*k - 5*k**2 - 80 - 4*k + k**2 - k**2 = 0.
4
Let v(y) be the second derivative of -y**5/20 + y**3/3 - 26*y. Let m be v(0). Let m - 2/9*z**3 + 2/9*z**2 + 0*z = 0. Calculate z.
0, 1
Suppose 4*j - 16 = 0, -3*g + 5*j - 5 = 9. Factor -54 - 70*t - 360*t**g + 75*t**3 + 322*t + 6.
3*(t - 4)*(5*t - 2)**2
Let z be ((-3)/4)/((-726)/3872). Let b = 91/3 + -30. Suppose s**3 + s**2 + 0 + b*s**z + 1/3*s = 0. What is s?
-1, 0
Let f be (-22)/33 - 640/(-672). Factor -2/7*v**3 + f - 6/7*v + 6/7*v**2.
-2*(v - 1)**3/7
Let n = 159 - 153. Let i(w) = 9*w**3 - 6*w**2 + 3*w. Let u(g) = g**3. Let c = 3 - 4. Let k(j) = c*i(j) + n*u(j). Suppose k(y) = 0. Calculate y.
0, 1
Let b = 8946 - 187955/21. Let x = -11/3 - b. Factor 6/7*r**5 - 22/7*r**4 - 18/7*r**2 + 30/7*r**3 + 0 + x*r.
2*r*(r - 1)**3*(3*r - 2)/7
Let g(q) be the first derivative of 4*q**3/21 - 44*q**2/7 + 12*q + 28. What is m in g(m) = 0?
1, 21
Let b(x) be the first derivative of x**3/5 + 3*x**2/2 + 98. Factor b(w).
3*w*(w + 5)/5
Find q such that -3/5*q - 1/5*q**3 + 0 + 4/5*q**2 = 0.
0, 1, 3
Suppose 3*o = 1 + 14. Suppose -q = 4*v - 7, v = -o*q - 0*v + 54. Determine s, given that -20*s**2 - 20 - 30*s**3 + 9*s**2 - 3*s**2 - q*s**2 + 60*s = 0.
-2, 1/2, 2/3
Let o = -315 + 1791/5. Let p(m) be the first derivative of -6*m**2 - 291/4*m**4 + o*m**5 + 0*m + 36*m**3 + 2 - 8*m**6. Factor p(r).
-3*r*(r - 2)**2*(4*r - 1)**2
Let 1/7*o**5 - 3/7*o + 1/7 + 2/7*o**2 + 2/7*o**3 - 3/7*o**4 = 0. What is o?
-1, 1
Let r(x) = x**2 - 11*x + 2. Let m be r(10). Let y be 3/(-12)*m - (-4)/(-3). Factor -2/3*l**3 + 2/3*l + y - 2/3*l**2.
-2*(l - 1)*(l + 1)**2/3
Let u be (130/(-195))/((-4)/(-6)) + 3. Factor 0*k + 0 - 3/2*k**3 + 3*k**u - 3/2*k**4.
-3*k**2*(k - 1)*(k + 2)/2
Suppose 0*v = -6*v. Suppose -l - l = v. Factor l*s**2 + 2/7 - 4/7*s - 2/7*s**4 + 4/7*s**3.
-2*(s - 1)**3*(s + 1)/7
Let v(x) = -3*x**2 - 14*x + 5. Suppose 6*y - 10*y - 20 = 0. Let u be v(y). Suppose u*s - 1/8*s**3 + 0 + 1/8*s**2 = 0. Calculate s.
0, 1
Suppose -2*s = -c - 5*s + 2, 0 = -2*c + 3*s + 4. Suppose v = 3*f + c*f - 13, -2*f = 5*v - 16. Factor 4*k**2 - v*k**2 - 1 + 1 + 2*k.
2*k*(k + 1)
Let w(x) be the first derivative of x**4/6 + 26*x**3/9 + 10*x**2/3 - 16*x + 752. Determine r, given that w(r) = 0.
-12, -2, 1
Suppose -2*y = -z, -5*z - y = y - 36. Let q be (-8)/(-70)*-5 + (-18)/(-7). Factor -6*c + 8*c**3 + 6*c**2 + q*c**4 + z*c.
2*c**2*(c + 1)*(c + 3)
Suppose 1/2*d + 3 - 1/2*d**2 = 0. Calculate d.
-2, 3
Let k = 3919 - 3916. Factor -2/3*x + 0*x**2 + 1/2*x**k - 1/6*x**4 + 0.
-x*(x - 2)**2*(x + 1)/6
Let w(p) be the third derivative of -p**5/20 + 73*p**4/8 - 18*p**2 - 4. Determine a so that w(a) = 0.
0, 73
Let g(j) be the third derivative of j**7/840 + j**6/60 + j**5/16 - j**4/12 - 2*j**3/3 + 103*j**2. Factor g(s).
(s - 1)*(s + 1)*(s + 4)**2/4
Suppose -1432/3*s**2 - 4/3*s**4 - 1120*s + 160/3*s**3 - 588 = 0. What is s?
-1, 21
Let v(i) be the first derivative of -i**6/360 + i**5/36 - i**4/18 + 7*i**2/2 + 3. Let z(s) be the second derivative of v(s). Factor z(h).
-h*(h - 4)*(h - 1)/3
Let p = 1/142326 - 703745/3131172. Let m = 5/36 - p. Factor -2/11*w + m*w**2 - 2/11*w**3 + 0.
-2*w*(w - 1)**2/11
Factor 0 + 12/5*d + 38/5*d**2.
2*d*(19*d + 6)/5
Let p(t) be the second derivative of -4*t**4/9 + 274*t**3/9 - 68*t**2/3 - t - 28. Factor p(u).
-4*(u - 34)*(4*u - 1)/3
Suppose -5*o = l - 11, -27 = -o - 2*l - 23. Suppose -3/4*c**o - 9/4 + 3*c = 0. What is c?
1, 3
Let d be 10 + ((-119)/6 - -10). Let g(o) be the first derivative of d*o**3 - o + 10 + 1/4*o**2. Factor g(l).
(l - 1)*(l + 2)/2
Suppose 0 = 3*o + 3*j - 12, 0*o = -3*o - 5*j + 16. What is z in -11 + 6*z + 22 - 9 - 5 - 3*z**o = 0?
1
Let c(p) = -4 + 4*p + 4*p**2 - 9*p**2 - 3. Let g(h) = 4*h**2 - 4*h + 6. Let m(d) = 3*c(d) + 4*g(d). Factor m(x).
(x - 3)*(x - 1)
Factor 3/7*k**4 + 54/7*k - 12/7*k**3 - 9/7*k**2 + 0.
3*k*(k - 3)**2*(k + 2)/7
Let n(w) = -w**4 + 13*w**3 + 6*w**2 - 58*w - 74. Let d(u) = 6*u**4 - 51*u**3 - 24*u**2 + 231*u + 297. Let s(h) = 2*d(h) + 9*n(h). Solve s(y) = 0.
-3, -2, 2
Let b be 70/(-20)*(-10 - (-1866)/189). Factor b*j**2 + 2*j - 10/9.
2*(j + 5)*(2*j - 1)/9
Let w = 43 + -128/3. Let l be (0 - 0)/(-1 - 0/2). Solve 0*s**2 + 0*s**4 + 0 + 0*s - w*s**5 + l*s**3 = 0.
0
Let v(g) be the first derivative of g**6/24 - g**5/10 - g**4/4 + 2*g**3/3 + 219. Suppose v(p) = 0. Calculate p.
-2, 0, 2
Let i(d) be the first derivative of 7/2*d**2 + 6*d - d**3 - 7. Factor i(j).
-(j - 3)*(3*j + 2)
Determine v so that 32*v**3 + 88*v**3 - 163*v - 700*v**4 + 131*v + 500*v**5 + 112*v**2 = 0.
-2/5, 0, 2/5, 1
Let h = 4712/3 - 1569. Factor -5/3*o**2 - 5/6*o**4 - 1/6*o**5 - 1/6 - h*o**3 - 5/6*o.
-(o + 1)**5/6
Let p(d) be the second derivative of -d**7/28 - d**6/10 + 3*d**5/8 + 5*d**4/4 - d**3 - 6*d**2 - d - 33. Let p(g) = 0. What is g?
-2, -1, 1, 2
Let o(s) be the second derivative of -3*s**5/40 - 7*s**4/12 - 17*s**3/12 - 3*s**2/2 + 7*s - 2. Determine r so that o(r) = 0.
-3, -1, -2/3
Let t be 0/(-1) - 36/8*-2. Let f be (-8)/6 - -16*3/t. Let 0*h**2 + 2/7*h**f + 0*h + 0 + 2/7*h**3 = 0. What is h?
-1, 0
Let l(k) be the second derivative of -4*k**6/135 + 13*k**5/90 - 11*k**4/54 + 2*k**3/27 - 586*k. Find f, given that l(f) = 0.
0, 1/4, 1, 2
Let j(k) be the second derivative of -2*k**6/15 - 14*k**5/5 - 138*k. Determine c so that j(c) = 0.
-14, 0
Let u be ((-8)/(-5))/((-8)/(-40)). Suppose -u = -2*g - 5*a + 25, 2*a = -5*g + 30. Let 9*v**2 + v**3 - g*v**3 - 6*v + 0*v = 0. What is v?
0, 1, 2
Let n = -8921/12 + 744. Let f(m) be the second derivative of 0 + 0*m**2 + 1/4*m**5 + 9*m - n*m**4 + 1/3*m**3. Determine t so that f(t) = 0.
0, 2/5, 1
Suppose 0 = 25*b + 56 - 56. Let v(k) be the second derivative of k + 0*k**2 + 1/15*k**4 - 1/105*k**7 + 0*k**5 - 2/75*k**6 + b + 1/15*k**3. Factor v(j).
-2*j*(j - 1)*(j + 1)**3/5
Let v = -4 + 11. Suppose -v + 0 = -3*m - 5*q, -2*m + 3*q = -11. Factor -2*l**5 - 4*l - 18*l**3 - 2*l**2 + 16*l**2 + 9*l**4 + l**m.
-2*l*(l - 2)*(l - 1)**3
Let b(l) be the third derivative of -l**10/170100 + l**9/54432 - l**8/90720 + l**5/12 - 14*l**2. Let n(r) be the third derivative of b(r). Factor n(h).
-2*h**2*(h - 1)*(4*h - 1)/9
Let o(l) = -8*l**3 + 173*l**2 + 5*l - 10. Let m(s) = -12*s**3 + 260*s**2 + 8*s - 16. Let v(n) = 5*m(n) - 8*o(n). Factor v(u).
4*u**2*(u - 21)
Let n(f) = f**2 - 72*f + 136. Let t(q) = -24*q + 45. Let w(a) = -3*n(a) + 8*t(a). Solve w(y) = 0 for y.
4
Let u(n) = -9*n + 58. Let b be u(6). Let a b