vative of -a**7/14 + 7*a**6/15 + a**5/2 - 2*a**4 - 7*a**3/6 + 5*a**2 - 2*a - 8. Let m(v) = 0. Calculate v.
-1, 2/3, 1, 5
Let r = -47/15 + 10/3. Let j be (-74)/185*3/(-2). Let r*v**3 + j*v + 1/5 + 3/5*v**2 = 0. Calculate v.
-1
Let y(j) be the second derivative of -j**6/150 - 2*j**5/25 - 7*j**4/60 - 15*j. Factor y(i).
-i**2*(i + 1)*(i + 7)/5
Let o(n) = -6*n**2 + 2*n - 4. Let t(h) be the first derivative of -h**3/3 - h - 8. Let v(b) = -o(b) + 4*t(b). Let v(u) = 0. What is u?
0, 1
Let a(i) be the second derivative of -1/24*i**3 + 1/120*i**6 - 3/80*i**5 + 39*i + 0*i**2 + 0 + 1/16*i**4. Find q, given that a(q) = 0.
0, 1
Let z be 3672/(-323) + 18 + (-4*3)/2. Determine d, given that 0*d**2 - z - 14/19*d + 2/19*d**3 = 0.
-2, -1, 3
Let t(b) be the third derivative of -5*b**8/48 - 47*b**7/42 - 21*b**6/8 - 13*b**5/12 + 25*b**4/12 + 4*b**2 + 28. Let t(y) = 0. What is y?
-5, -1, 0, 2/7
Factor 9408*y - 2962*y**2 + 3657*y**3 + 195*y**5 - 201*y**4 - 6833*y**2 - 192*y**5 - 3072.
3*(y - 32)**2*(y - 1)**3
Let p(m) be the third derivative of m**6/60 + 2*m**5/15 + m**4/12 - 2*m**3 + m**2 - 7. Factor p(n).
2*(n - 1)*(n + 2)*(n + 3)
Let h(k) be the third derivative of -k**5/120 + 13*k**4/48 + 37*k**2. Let h(o) = 0. What is o?
0, 13
Let d = 17 - 15. Suppose 20 + 6*h**2 + 5*h**4 + 60*h + 53*h**3 - 23*h**3 + 59*h**d = 0. What is h?
-2, -1
Let v = 5621/10 + -562. Let y(k) be the second derivative of 0 - v*k**6 - 2*k + 0*k**2 + 1/4*k**4 + 1/2*k**3 - 3/20*k**5. Factor y(p).
-3*p*(p - 1)*(p + 1)**2
Factor -19/5*w**2 + 7/5*w**4 - 16/5 + 1/5*w**5 - 11/5*w**3 + 38/5*w.
(w - 1)**3*(w + 2)*(w + 8)/5
Let g = -4 - -5. Let w be 75/21*8/20 - g. Find z such that -3/7*z**4 + 1/7*z**5 + 0*z + w*z**3 + 0 - 1/7*z**2 = 0.
0, 1
Let h(z) be the third derivative of -z**6/840 + 8*z**5/105 + z**4/168 - 16*z**3/21 + 874*z**2. Determine q, given that h(q) = 0.
-1, 1, 32
Let x(c) be the third derivative of 0*c + 0 - 1/30*c**4 - 3/50*c**5 + 0*c**3 - 34*c**2. Factor x(i).
-2*i*(9*i + 2)/5
Let y(g) be the second derivative of -g**5/300 - g**4/120 + 2*g**2 + g. Let i(w) be the first derivative of y(w). Determine v so that i(v) = 0.
-1, 0
Let q(f) be the second derivative of -22*f - 4*f**2 + 0 - 1/6*f**4 - 5/3*f**3. Factor q(z).
-2*(z + 1)*(z + 4)
Let u = -8260/9 - -918. What is w in 8/9*w + 8/9*w**3 + u*w**4 + 4/3*w**2 + 2/9 = 0?
-1
Let m(u) be the third derivative of -3*u**6/40 - u**5/30 + 3*u**4/8 + u**3/3 - u**2 + 28. Factor m(c).
-(c - 1)*(c + 1)*(9*c + 2)
Let o(d) be the second derivative of 24/5*d**2 + 1/70*d**7 - 12/5*d**3 - 7/20*d**4 - 9/50*d**6 - 11*d + 0 + 69/100*d**5. What is q in o(q) = 0?
-1, 1, 4
Let d(i) be the first derivative of i**5/10 - 5*i**4/2 + 25*i**3 - 125*i**2 + 625*i/2 + 125. What is b in d(b) = 0?
5
Let b(v) be the second derivative of -49/10*v**2 + 7/15*v**3 + 36*v + 0 - 1/60*v**4. Factor b(q).
-(q - 7)**2/5
Let j be (19/171)/(5/15). Let n(g) be the first derivative of 0*g + g**2 - 2 - j*g**3 - 1/4*g**4. Factor n(f).
-f*(f - 1)*(f + 2)
Let n(u) be the third derivative of u**9/15120 - u**8/840 - u**7/84 - 2*u**6/45 + 7*u**5/20 - 29*u**2. Let t(s) be the third derivative of n(s). Factor t(o).
4*(o - 8)*(o + 1)**2
Let i = -63 + 65. Let j be (-66)/(-14) - i - 26/(-91). Find c such that -32/7*c**j - 18/7*c + 48/7*c**2 + 2/7 = 0.
1/4, 1
Let p(l) be the first derivative of -l**3/9 - 7*l**2/3 - 40*l/3 + 182. Determine g so that p(g) = 0.
-10, -4
Factor -24 + 57*n + 3*n**2 + 7 + 71.
3*(n + 1)*(n + 18)
Factor -9 + 16*g**4 + 18*g**3 - 3*g**5 - 14*g**4 + g**4 - 42*g**2 + 0*g**2 + 33*g.
-3*(g - 1)**4*(g + 3)
Let w(a) = -3*a**3 - 12*a**2 - 6*a. Let g be 4*(-20)/(-8) - 3. Let b(q) = 10*q - 4*q**3 - 4*q + 11*q**2 + g*q**3. Let x(z) = -3*b(z) - 2*w(z). Solve x(l) = 0.
-2, -1, 0
Let t(k) = k**3 + 11*k**2 + 9*k - 3. Let x be t(-10). Suppose 4*a + x = 5*q, 0*q - 4 = -2*q + a. Factor 4*r**4 - q*r**5 - 8*r**3 + 3*r**5 + 3*r**5 + r**5.
4*r**3*(r - 1)*(r + 2)
Let d(q) = 4*q**3 - q**2 + 3. Let n(a) be the second derivative of -7*a**5/20 + a**4/12 + a**3/6 - 5*a**2/2 + 11*a. Let u(f) = -5*d(f) - 3*n(f). Factor u(x).
x*(x - 1)*(x + 3)
Let u(r) = r + 26. Let s be u(-22). Let d(x) be the third derivative of 0 + 0*x + 5*x**2 + 0*x**3 + 1/84*x**s + 1/210*x**5. Let d(w) = 0. Calculate w.
-1, 0
Let h(v) be the second derivative of v**6/480 + 11*v**5/160 - 3*v**4/8 + 25*v**3/6 - 36*v. Let m(z) be the second derivative of h(z). Solve m(j) = 0 for j.
-12, 1
Let z(j) = 7*j**2 + 14*j + 106. Let r(x) = -8*x**2 - 13*x - 107. Let u be ((-6)/(-8))/((-4)/(-32)). Let v(d) = u*r(d) + 7*z(d). Factor v(q).
(q + 10)**2
Let p(d) be the first derivative of 8*d**3/3 + 26*d**2 - 28*d + 413. Solve p(q) = 0 for q.
-7, 1/2
Let i(r) be the third derivative of -r**4 + 8*r**3 + 0 + 0*r + 1/20*r**5 + 11*r**2. Factor i(l).
3*(l - 4)**2
Let f(n) = -3*n**3 + 3*n**2 + 18*n + 12. Let q(s) = -s**2 + s + 2. Let o(v) = -f(v) - 3*q(v). Factor o(a).
3*(a - 3)*(a + 1)*(a + 2)
Let h(b) = 5*b**5 + 4*b**4 - 6*b**3 - 12*b**2 + 9*b. Let x(r) = r**5 - r**4 + r**3 - r**2. Let t(o) = h(o) - 4*x(o). Let t(l) = 0. Calculate l.
-9, -1, 0, 1
Let m(c) be the third derivative of c**5/390 + c**4/39 - 15*c**3/13 + 6*c**2 + 19. What is o in m(o) = 0?
-9, 5
Determine p, given that -57*p + 247*p**2 + 101 - 38*p - 11 - 242*p**2 = 0.
1, 18
Suppose 2*u = d - 3*u - 22, 8*d = 5*u + 36. Factor 1/5*p**3 - 2/5 - 1/5*p**4 - 1/5*p + 3/5*p**d.
-(p - 2)*(p - 1)*(p + 1)**2/5
Let 72/5 + 2/5*q**2 - 26/5*q = 0. Calculate q.
4, 9
Let z(l) be the second derivative of -l**5/20 + 2*l**3 + 9*l**2/2 + 8*l. Let v(m) be the first derivative of z(m). Factor v(r).
-3*(r - 2)*(r + 2)
Let b(w) be the third derivative of w**6/200 + 59*w**5/50 + 117*w**4/40 + 237*w**2. Factor b(u).
3*u*(u + 1)*(u + 117)/5
Let p be ((-690)/(-80) - 9)/((-1)/28). Factor -6 - 24*r - p*r**2.
-3*(r + 2)*(7*r + 2)/2
Let w(h) be the second derivative of h**3/6 - 3*h**2/2 - 4*h. Let v be w(5). Factor -2*n**2 + 4*n**3 + 0*n**2 + 0*n**4 + 4*n**4 - v*n**3.
2*n**2*(n + 1)*(2*n - 1)
Let t(c) be the third derivative of c**8/90720 - c**7/2268 + 5*c**6/648 + 3*c**5/10 + 9*c**2. Let o(r) be the third derivative of t(r). Let o(j) = 0. What is j?
5
Solve -962*n**3 + 79*n + 74*n - 136*n**2 - 161*n + 384*n**3 = 0 for n.
-2/17, 0
Let d(s) = -30*s**2 + 490*s + 329. Let f(h) = 15*h**2 - 245*h - 164. Let k(r) = -6*d(r) - 11*f(r). Let k(z) = 0. What is z?
-2/3, 17
Let o(d) = 15*d**3 - 48*d**2 + 42*d + 6. Let p(q) = 2*q**3 - 4*q**2 + q + 1. Let s(z) = -o(z) + 6*p(z). Determine y, given that s(y) = 0.
0, 2, 6
Let z = 597/1547 - -41/221. Let -4/7*j**4 + 8/7*j**2 + 0*j + 0 - z*j**3 = 0. Calculate j.
-2, 0, 1
Let k = -7184/11 + 36065/77. Let z = k + 185. Solve -z*f**3 + 8/7*f - 4/7*f**2 + 16/7 = 0 for f.
-2, 2
Let n(r) be the second derivative of -r**4/84 - r**3/2 - 10*r**2/7 + 5*r. Factor n(t).
-(t + 1)*(t + 20)/7
Let p(w) be the first derivative of 0*w**2 - 3/2*w**4 + 1/3*w**6 - 4/3*w**3 + 40 + 0*w**5 + 0*w. Find n, given that p(n) = 0.
-1, 0, 2
Suppose -14*x - 12 = -17*x. Let s be (-4 - 2)/(-3) + x/(-2). What is f in -2/9*f + s + 2/9*f**2 = 0?
0, 1
Let j(z) be the second derivative of z**6/900 + z**5/75 + z**3/3 + 16*z. Let b(u) be the second derivative of j(u). Factor b(f).
2*f*(f + 4)/5
Suppose 32 - 3 = g. Factor 29*p**2 - 61*p**2 + g*p**2.
-3*p**2
Let c(w) be the third derivative of -w**8/2240 - w**7/140 - w**6/20 - w**5/5 - 3*w**4/8 - 17*w**2. Let l(j) be the second derivative of c(j). Factor l(r).
-3*(r + 2)**3
Let d be 1/4*(17 - 9). Let b(f) be the first derivative of 1/3*f**4 + 0*f**2 - d + 1/9*f**6 + 0*f**3 + 0*f - 2/5*f**5. Factor b(k).
2*k**3*(k - 2)*(k - 1)/3
Suppose -2*w + 54 = -5*w. Let v be ((-8)/w)/((-2)/(-9)). Suppose -8*p - 4*p**v - 9 + 5 + 0 = 0. Calculate p.
-1
Let b = 11 - 6. Find y, given that y**3 + 8*y**4 + 11*y**3 + b*y**4 - 15*y**4 - 18*y**2 = 0.
0, 3
Let w(z) = -z + 33. Let n be w(0). Let y = 36 - n. Solve -5*m + 8*m**2 - 2*m - 2*m**3 + y*m - 2*m = 0 for m.
0, 1, 3
Suppose 4*g - 5 - 3 = -5*q, 0 = -4*g - 3*q. Let u(y) = -3*y**3 + 8*y**2 + 2*y - 7. Let k(c) = -c**3 + 1. Let s(p) = g*k(p) - u(p). Suppose s(t) = 0. What is t?
-2/3, 1
Determine r so that -48/5 + 4/5*r + 2/5*r**2 = 0.
-6, 4
Let i = -1720/2023 - 2/289. Let h = i - -130/21. Determine v, given that -8/3*v**4 - 1/3*v + 8/3*v**2 + h*v**5 - 5*v**3 +