- 2)
Let x(m) be the first derivative of m**4/34 - 3*m**2/17 + 4*m/17 - 46. Let x(h) = 0. What is h?
-2, 1
Let i(m) be the third derivative of m**8/504 - m**6/45 - m**5/45 + m**4/12 + 2*m**3/9 - 158*m**2. Factor i(p).
2*(p - 2)*(p - 1)*(p + 1)**3/3
Factor 28/3 - 1/3*x**2 - 4*x.
-(x - 2)*(x + 14)/3
Let p(c) = -4*c**4 - c**3 + 5*c**2 - 8*c + 5. Let i(r) = -3*r**4 + 5*r**2 - 6*r + 4. Let z(j) = 5*i(j) - 4*p(j). Solve z(n) = 0 for n.
-2, -1, 0
Let t(q) = -10*q**5 + 2*q**4 + 44*q**3 - 20*q**2 - 92*q + 32. Let k(w) = w**5 + w**3 + w**2 - w. Let u(y) = 4*k(y) + t(y). Let u(x) = 0. Calculate x.
-2, 1/3, 2
Let h(i) be the third derivative of i**6/100 + 17*i**5/200 + i**4/4 + 17*i**3/2 - 57*i**2. Let g(u) be the first derivative of h(u). Solve g(r) = 0.
-2, -5/6
Let y(s) be the third derivative of 0*s**3 + 1/12*s**4 - 5*s**2 + 1/36*s**5 + 0*s - 1/360*s**6 + 0. Factor y(c).
-c*(c - 6)*(c + 1)/3
Let j(m) = 2*m**2 - 26*m + 4. Let d be j(13). Let r(x) be the first derivative of 2*x + 2*x**2 + 3 - 1/2*x**3 - 9/8*x**d. Factor r(c).
-(c - 1)*(3*c + 2)**2/2
Let v(x) = -8*x**3 - 89*x**2 - 312*x - 222. Let i(z) = -9*z**3 - 87*z**2 - 311*z - 221. Let t(a) = 3*i(a) - 4*v(a). What is n in t(n) = 0?
-15, -3, -1
Let a(z) be the second derivative of z**4/54 + 68*z**3/27 - 23*z**2/3 - 7*z. Factor a(b).
2*(b - 1)*(b + 69)/9
Let p(q) be the second derivative of q**6/150 - q**5/50 - 19*q**4/60 - 14*q**3/15 - 6*q**2/5 + 3*q + 101. Solve p(o) = 0.
-2, -1, 6
Let f(p) be the third derivative of -5*p**9/6048 - 5*p**8/672 - p**7/48 - p**6/48 - 3*p**3 - 10*p**2. Let y(j) be the first derivative of f(j). Factor y(o).
-5*o**2*(o + 1)**2*(o + 3)/2
Let o(c) = -5*c**2 - 11*c + 16. Let q(z) be the first derivative of -z**3/3 - z**2 + 3*z + 15. Let d(j) = -2*o(j) + 11*q(j). Determine b so that d(b) = 0.
-1, 1
Let 69*m**4 - 218*m**2 - 21*m - 231*m - 98 - 77*m**4 - 72*m**3 = 0. Calculate m.
-7/2, -1
Let k be (-9 - -4) + (7 - -7). Suppose -2*u = 3 - k. Factor 0*d - 1/2*d**2 + 0 - 5/4*d**u.
-d**2*(5*d + 2)/4
Let x(h) = -h**2. Let a(w) = -12*w**2 - 24*w - 36. Let s be 74/9 + 2/(-9). Let c(l) = s*x(l) - a(l). Factor c(b).
4*(b + 3)**2
Let a be -21 - (-8 + 71)/(-3). Determine y, given that 1/3*y**2 + a + y = 0.
-3, 0
Let b(l) = -17*l**3 - 217*l**2 + 7*l + 28. Let k(h) = 8*h**3 + 108*h**2 - 3*h - 12. Let y(s) = 3*b(s) + 7*k(s). Factor y(v).
5*v**2*(v + 21)
Let d(n) = -4*n**2 - 8*n + 11. Suppose 0*l + 57 = 3*l. Let m = 24 - l. Let a(y) = -y**2 - 1. Let f(r) = m*a(r) - d(r). Suppose f(c) = 0. What is c?
4
Let r(v) be the first derivative of v**7/70 + 3*v**6/40 - v**5/5 + 27*v**2/2 - 9. Let w(i) be the second derivative of r(i). Factor w(m).
3*m**2*(m - 1)*(m + 4)
Let v(q) = q**3 + 6*q**2 + 4*q - 13. Let r be v(-3). Let i(d) be the first derivative of 0*d - 2 - 1/15*d**3 - 1/10*d**r. Factor i(s).
-s*(s + 1)/5
Let t = -12936 + 12939. Let q(h) = h**3 - 6*h**2 + h - 4. Let o be q(6). Let 0 + 1/3*c**t + 0*c + 0*c**o = 0. What is c?
0
Let s(u) be the second derivative of u**7/126 - 11*u**6/30 - u**5/30 + 11*u**4/6 + u**3/18 - 11*u**2/2 - 163*u - 3. Solve s(p) = 0 for p.
-1, 1, 33
Let u(r) = 4*r**2 - 40*r + 108. Let y(t) = 2*t**2 + t + 1. Let j(b) = -u(b) + 4*y(b). Factor j(d).
4*(d - 2)*(d + 13)
Let n(m) be the first derivative of 10*m**5 + 55*m**4/2 + 26*m**3 + 9*m**2 - 35. Factor n(l).
2*l*(l + 1)*(5*l + 3)**2
Factor 479*t - 225*t + 26*t**2 + 628*t + 11*t**2 + 64827 - 34*t**2.
3*(t + 147)**2
Let o(q) = -q**3 - 11*q + 4*q**4 + 5*q**3 + 2*q**5 - 11*q**2 - 2*q**3. Let j(i) = i**5 + 2*i**4 + i**3 - 6*i**2 - 6*i. Let g(k) = 11*j(k) - 6*o(k). Factor g(v).
-v**3*(v + 1)**2
Let c(f) be the first derivative of -f**4/60 - f**3/5 - f**2/2 + 12*f + 42. Let z(r) be the first derivative of c(r). Factor z(d).
-(d + 1)*(d + 5)/5
Factor 0*v - 9*v**3 + 7*v**3 + 4*v - 118*v**2 + 116*v**2.
-2*v*(v - 1)*(v + 2)
Let o be ((-32)/(-80))/(3 + (-56)/20). Factor 3/7*a**o + 243/7 + 54/7*a.
3*(a + 9)**2/7
Let c = 247/762 + 67/381. Factor 3/4*k**2 - 1/4*k - c.
(k - 1)*(3*k + 2)/4
Let d(p) be the third derivative of -p**5/40 - 5*p**4/8 - 4*p**3 - 8*p**2. Factor d(y).
-3*(y + 2)*(y + 8)/2
Let b(w) be the second derivative of 3/2*w**4 + 0*w**2 + 0 - 3/5*w**5 - 20*w + 1/15*w**6 + 0*w**3. Suppose b(x) = 0. What is x?
0, 3
Let d(o) = -o**5 - o**4 + o**3 - o**2 + 2. Let y(t) = -3*t**5 - 4*t**4 + 2*t**3 - 4*t**2 + t + 8. Let f(u) = 4*d(u) - y(u). Determine z, given that f(z) = 0.
-1, 0, 1
Let p(g) be the second derivative of 0*g**3 + 0*g**2 + 0 + 22*g - 2/85*g**6 + 1/357*g**7 + 0*g**4 - 7/170*g**5. Factor p(l).
2*l**3*(l - 7)*(l + 1)/17
Let c(z) = 19*z**2 + 17*z - 84. Let m(n) = 9*n**2 + 9*n - 42. Let i(p) = 6*c(p) - 13*m(p). Factor i(g).
-3*(g - 2)*(g + 7)
Let j = -26862 + 26864. Factor 2/13*z**j - 4/13*z - 6/13.
2*(z - 3)*(z + 1)/13
Factor 454*q + 5*q**3 + 9261 - 170*q**2 + 869*q - 4*q**3 + 233*q**2.
(q + 21)**3
Factor 2 + 3*y**3 - y**4 + 14 - 4*y - 16.
-y*(y - 2)**2*(y + 1)
Let x = 42 + -32. Suppose x = -2*i + 10. Let 4/11*b**2 + 2/11*b**3 + i + 2/11*b = 0. What is b?
-1, 0
Let -42/5 - 3/5*w**2 - 27/5*w = 0. Calculate w.
-7, -2
Let h be (6/9)/(2/9). Factor -4 + 4422*k**3 - 90*k**2 + 100*k - 36 - 4*k**4 - k**4 - 4387*k**h.
-5*(k - 2)**3*(k - 1)
Suppose 0 = 5*s - 81 - 4. Solve 6*n + 20*n**4 - n**2 - 34*n**3 - 16*n + s*n**2 + 8*n = 0 for n.
0, 1/5, 1/2, 1
Let z(t) = -4*t**2 - 338*t - 7399. Let y(h) = 52*h**2 + 4392*h + 96188. Let s(q) = -3*y(q) - 40*z(q). Solve s(k) = 0 for k.
-43
Let p = 170749/9 - 18971. Determine j, given that 0 + 32/9*j**2 + 8/9*j + p*j**4 + 34/9*j**3 = 0.
-2, -1, -2/5, 0
Factor -j**2 + 9*j - 81/4.
-(2*j - 9)**2/4
Let u be 7/(-21) + (-10)/6. Let j be 10 + 1*(-1 + u). Let a(x) = x**2 + x + 1. Let v(i) = -2*i**2 - 3*i - 2. Let b(l) = j*a(l) + 3*v(l). Factor b(m).
(m - 1)**2
Let g(j) = 5*j**3 - 7*j**2 - 3*j. Let i = -32 + 31. Let t(m) = -m**2 + m. Let k(v) = i*g(v) - 3*t(v). Factor k(h).
-5*h**2*(h - 2)
Let n be 9*4/6 + (0 - 0). What is x in 6 + 4 + x**2 - n*x - 5 = 0?
1, 5
Let j(o) = -23*o - 874. Let c be j(-38). Determine z so that c - 2/3*z + 1/3*z**2 = 0.
0, 2
Factor -3*x**4 + x**5 - 4*x + 3*x**2 - 4*x - 9*x**3 + 2*x**5 + 14*x.
3*x*(x - 2)*(x - 1)*(x + 1)**2
Suppose 4 = -t + 12. Let p be ((-21)/t)/(9/(-12)). Find m, given that 5/2*m**2 + p*m + 1 = 0.
-1, -2/5
Factor 0 + 2/7*d**2 - 16/7*d.
2*d*(d - 8)/7
Let a(x) be the first derivative of -2*x**3/3 - 9*x**2 + 44*x + 301. Factor a(k).
-2*(k - 2)*(k + 11)
Let g(b) be the second derivative of 0*b**2 + 0 - 7*b - 4/9*b**3 - 7/9*b**4. Find v such that g(v) = 0.
-2/7, 0
Factor -1/2*l + 1/2*l**3 + 10 - 10*l**2.
(l - 20)*(l - 1)*(l + 1)/2
Let t(k) be the first derivative of -k**6/45 + k**5/30 + k**4/18 - k**3/9 - k + 3. Let i(m) be the first derivative of t(m). Factor i(j).
-2*j*(j - 1)**2*(j + 1)/3
Let x(h) = -2*h**2 - 10. Let z(i) = -2*i**2 + i - 17. Let s(k) = -3*x(k) + 2*z(k). Find c, given that s(c) = 0.
-2, 1
Let v be 264/(-44) + 72/2. Let a be 2 + 0 + 5*(-12)/v. Factor a*f**3 + 4/7*f - 2/7*f**4 + 6/7*f**2 + 0.
-2*f*(f - 2)*(f + 1)**2/7
Let m be -3*(-1 + -2 - -2). Let p be (8 - m - 2) + 0. Factor p*k**2 + 3 + k - 3 - 4*k**2.
-k*(k - 1)
Let i(z) be the second derivative of -z**5/120 - z**4/72 + 5*z**3/9 + 559*z. Suppose i(y) = 0. What is y?
-5, 0, 4
Let c(u) = -u**2 + u - 1. Let g(o) = 19*o**2 - 27*o + 5. Let v(j) = 5*c(j) + g(j). Let h(l) = l**2 - 2*l. Let y(k) = 12*h(k) - v(k). Factor y(r).
-2*r*(r + 1)
Factor n**3 - 3*n**3 + 0*n**3 + 6*n**2 - 3*n**2 - 17*n**2.
-2*n**2*(n + 7)
Let a(m) be the second derivative of m**5/30 + m**4/5 + 4*m**3/15 - 8*m**2/15 + 9*m + 2. Find b, given that a(b) = 0.
-2, 2/5
Let y = -112 - -112. Suppose 60*u - 65*u = y. Solve -4/9*h**4 + 2/9*h**5 + 0*h**2 + u*h + 2/9*h**3 + 0 = 0 for h.
0, 1
Let z(w) = -3*w**2 - w + 1. Let o(q) = -7*q**2 + 36*q - 161. Let p(h) = o(h) - 4*z(h). Factor p(a).
5*(a - 3)*(a + 11)
Let j(f) be the second derivative of f**5/100 - f**4/60 - 2*f**3/5 - 167*f. Factor j(x).
x*(x - 4)*(x + 3)/5
Let t = -75 + 87. Let f = 17 - t. Factor -1/3*a**3 + 0 - 1/3*a**f + 2/3*a**4 + 0*a**2 + 0*a.
-a**3*(a - 1)**2/3
Let k be 1885/2925 + (-8)/18. Let g(x) be the second derivative of 4*x**2 - 2/15*x**6 + 5*x - 10/3*x**3 + 0 + k*x**5 + x**4. Suppose g(a) = 0. Calculate a.
-2, 1
Let i(j) be the first derivative of 15/16*j**4 + 3/20*j