v) = 0.
-1, 0, 2
Let b(x) = -x. Let o(i) = 3*i**2 - 39*i + 72. Let a(m) = 6*b(m) - o(m). Let j(c) = -c - 1. Let r(h) = -a(h) - 3*j(h). Find v, given that r(v) = 0.
5
Suppose 5*t + 10 = -0. Let d(o) = -10*o**2 - 40*o - 51. Let p(f) = -2*f**2 - 8*f - 10. Let s(j) = t*d(j) + 11*p(j). Factor s(c).
-2*(c + 2)**2
Let k = -295 + 299. Let d(u) be the third derivative of 0*u - 4*u**2 - 1/330*u**5 + 0*u**k + 0*u**3 + 0. Factor d(b).
-2*b**2/11
Let u(v) be the second derivative of -v**6/30 - v**5/4 + 2*v. Determine j, given that u(j) = 0.
-5, 0
Let j be 2/(((-15)/10)/(-1) + -1). Let m(r) be the third derivative of 1/84*r**j + 0*r**3 + 0*r - 3*r**2 + 0 - 1/735*r**7 + 1/140*r**6 - 1/70*r**5. Factor m(l).
-2*l*(l - 1)**3/7
Let w(v) = 2*v**2 - 4*v + 4. Let z be w(2). Factor 5*l**3 - 3*l**3 + 5*l**3 - 2*l**3 - 5*l**z.
-5*l**3*(l - 1)
Let x be (-231 - 6)/(3/(-1)). Suppose 4*w - 1 = d, 5*w - 2*w - 3 = 0. Find a, given that -73*a**2 + 5*a + 2*a**d - a + x*a**2 = 0.
-2, -1, 0
Let n = 55 + -51. Let o be 3/(30/4 + 0)*n. Factor -2*v**3 - 2/5*v**4 - 16/5*v**2 + 0 - o*v.
-2*v*(v + 1)*(v + 2)**2/5
Factor -147/5*l**4 - 84/5*l + 576/5*l**2 + 0 - 189*l**3.
-3*l*(l + 7)*(7*l - 2)**2/5
Let s(y) be the second derivative of y**5/120 + y**4/24 - 2*y**3 - 27*y**2 - 149*y. Factor s(x).
(x - 9)*(x + 6)**2/6
Let d(l) be the first derivative of 21/4*l**2 + 3/10*l**5 + 30 + 15/8*l**4 + 9/2*l**3 + 3*l. Determine p so that d(p) = 0.
-2, -1
Let q(t) be the first derivative of t**6/120 + t**5/80 - 3*t**4/32 + t**3/12 + 8*t**2 + 6. Let w(z) be the second derivative of q(z). Solve w(u) = 0 for u.
-2, 1/4, 1
Let n be (7 - 9)/(4/(-6)). Let s(r) be the first derivative of -1 + 0*r**3 - 7*r - 6 + 19*r - r**n. Factor s(v).
-3*(v - 2)*(v + 2)
Let k(h) be the second derivative of -h**9/4536 - h**8/1120 + h**7/1890 - 2*h**4 + 3*h. Let t(d) be the third derivative of k(d). Solve t(v) = 0.
-2, 0, 1/5
Let k(v) be the second derivative of v**6/200 + v**5/150 - 15*v**2/2 - 6*v. Let s(i) be the first derivative of k(i). Suppose s(a) = 0. What is a?
-2/3, 0
Let i(g) be the second derivative of g**4/3 - 8*g**3/3 - 24*g**2 + 30*g. Suppose i(h) = 0. What is h?
-2, 6
Let n(d) be the first derivative of d**3/3 - 59*d**2/2 - 60*d - 205. Factor n(o).
(o - 60)*(o + 1)
Let w(u) be the first derivative of 0*u**3 + 1/20*u**5 - 4 + 11/2*u**2 + 0*u**4 + 0*u. Let s(m) be the second derivative of w(m). Factor s(l).
3*l**2
Let f(d) be the second derivative of 6*d - 4/21*d**3 + 1/42*d**4 + 3/7*d**2 + 0. Factor f(n).
2*(n - 3)*(n - 1)/7
Let f(y) = y**2 + 1. Let o(w) = -3*w**2 - 3*w + 8. Let q(x) = -2*f(x) - o(x). Factor q(n).
(n - 2)*(n + 5)
What is t in -26*t**2 + 22*t**3 - 132*t + 66*t + 70*t = 0?
0, 2/11, 1
Factor 20/3 - 2*b - 2/3*b**2.
-2*(b - 2)*(b + 5)/3
Let j(h) = -5*h**4 + 224*h**3 + 223*h**2 + 6. Let w(q) = -5*q**4 + 223*q**3 + 221*q**2 + 7. Let r(o) = -7*j(o) + 6*w(o). Factor r(n).
5*n**2*(n - 47)*(n + 1)
Let v(l) be the third derivative of l**8/30240 + l**7/1080 - 7*l**5/20 + 35*l**2. Let u(d) be the third derivative of v(d). Factor u(x).
2*x*(x + 7)/3
Let v(i) = i**2 + 17*i + 19. Let b(d) = d**2 - d - 1. Let k(a) = 6*b(a) - 2*v(a). Determine j, given that k(j) = 0.
-1, 11
Factor 1383*m - 2970*m**3 - 9039*m + 58856*m - 95*m**4 - 29120*m**2 - 208*m**5 + 410*m**5 + 196608 - 203*m**5.
-(m - 3)*(m + 2)*(m + 32)**3
Let w(j) be the first derivative of -8*j**3/3 + 2*j**2 - j/2 + 745. Solve w(k) = 0 for k.
1/4
Let s = 25 - 21. Factor -10*f**4 - f**5 - 2*f**5 - f**5 - 4*f**3 + 2*f**s.
-4*f**3*(f + 1)**2
Let d(t) be the second derivative of -1/21*t**4 + 15*t - 8/21*t**3 + 0 - 6/7*t**2. Let d(h) = 0. Calculate h.
-3, -1
Let a be (16/32)/(-1) + 1 + 0. Solve 1/2*b**3 + 1/2 - a*b**2 - 1/2*b = 0.
-1, 1
Let q(t) be the second derivative of t**7/630 - t**6/30 + 3*t**5/10 + 7*t**4/3 - 12*t. Let o(j) be the third derivative of q(j). Find y, given that o(y) = 0.
3
Let w(x) be the first derivative of -2*x**6/3 + 36*x**5/5 - 2*x**4 - 112*x**3 - 144*x**2 + 2. Solve w(g) = 0 for g.
-2, -1, 0, 6
Let k(a) be the third derivative of -a**6/720 + a**5/180 - a**4/144 + 118*a**2. Suppose k(y) = 0. What is y?
0, 1
Suppose -2/9*g + 2/3*g**3 - 4/9*g**2 + 0 = 0. What is g?
-1/3, 0, 1
Factor 7/2 + 9/2*x**2 + 15/2*x + 1/2*x**3.
(x + 1)**2*(x + 7)/2
Suppose 5*q - 5 = 0, 3*b - 14 = -2*q - 0*q. Solve -3*v - 3*v**5 + b*v**5 - 6*v**4 + 2*v**5 + 6*v**2 = 0.
-1, 0, 1
Let j(o) be the second derivative of -6*o**6/5 + 9*o**5/20 - 4*o**2 - 6*o. Let r(s) = 12*s**4 - 3*s**3 + 3. Let x(y) = -3*j(y) - 8*r(y). Factor x(t).
3*t**3*(4*t - 1)
Let k(b) be the third derivative of b**5/12 - 55*b**4/24 + 56*b**2. Factor k(j).
5*j*(j - 11)
Let w(g) = -9*g**4 + 22*g**3 - 17*g**2 - 4*g + 4. Let y(u) = 19*u**4 - 45*u**3 + 34*u**2 + 9*u - 8. Let l(b) = -9*w(b) - 4*y(b). Factor l(c).
(c - 2)*(c - 1)**2*(5*c + 2)
Let u(m) = 23*m + 8. Let j be u(2). Let n be (4 + -1)/(j/24). Factor 4*x**2 - 4*x - n*x**3 + 4/3.
-4*(x - 1)**3/3
Let k(g) = 3*g**2 - 42*g - 2. Let m(r) = -9*r**2 + 126*r + 7. Let o(j) = -7*k(j) - 2*m(j). Factor o(f).
-3*f*(f - 14)
Let b(g) = -6*g + 2. Let v be b(0). Suppose h = v, 6*h - 2*h = 4*k. Factor 0*s - 2/5*s**4 + 2/5*s**k + 0 + 0*s**3.
-2*s**2*(s - 1)*(s + 1)/5
Let w be (-118)/120 - (3 - 4). Let j(f) be the third derivative of -1/3*f**3 + 1/24*f**4 + 0 + 0*f + w*f**5 - 4*f**2. Determine v so that j(v) = 0.
-2, 1
Let s(u) = -2*u**3 - 17*u**2 + 29*u - 2. Let j be s(-10). Let q(x) be the first derivative of -3*x**2 + j - 2/3*x**3 - 4*x. Suppose q(f) = 0. Calculate f.
-2, -1
Let t(q) be the second derivative of -q**6/195 - q**5/78 - q**4/156 + 7*q**2 - 4*q. Let y(w) be the first derivative of t(w). Let y(b) = 0. What is b?
-1, -1/4, 0
Factor 57/4 - 1/4*g**2 + 14*g.
-(g - 57)*(g + 1)/4
Let l(s) = -3*s**2 - 200*s + 191. Let j(d) = -11*d**2 - 600*d + 572. Let o(g) = -4*j(g) + 13*l(g). Factor o(f).
5*(f - 39)*(f - 1)
Let o(z) = -z**2 + 2. Let c(g) be the third derivative of g**5/4 - 5*g**4/6 - 40*g**3/3 + 11*g**2. Let i(p) = c(p) + 10*o(p). Factor i(f).
5*(f - 6)*(f + 2)
What is f in 14/9*f**5 + 88/9*f**2 - 88/9*f**4 - 8/3*f + 10/9*f**3 + 0 = 0?
-1, 0, 2/7, 1, 6
Let c be 16/6*-18*6/(-432). Suppose 245/6*g**4 - 28/3*g**3 - 22/3*g - c - 47/2*g**2 = 0. Calculate g.
-2/7, -1/5, 1
Solve 0*c - 2/3*c**3 + c**4 + 0 + 0*c**2 = 0 for c.
0, 2/3
Solve 45*t**2 - 14*t + 15*t**3 + 221*t**4 + 15*t**3 - 226*t**4 - 56*t = 0 for t.
-2, 0, 1, 7
Let i be (-240)/(-1620) + (-12)/(-162). Solve 2/9*u + 2/9 - 2/9*u**3 - i*u**2 = 0.
-1, 1
Let v = -50 + 53. Let t be 15*v/(-189) - (-2)/3. Factor 0 + 9/7*h + t*h**2.
3*h*(h + 3)/7
Let k be 3/((-6)/(-20)) + 0. Suppose 23 = 5*z - 2. Factor 4*b**3 + 5*b**z + 2*b**5 - k*b**4 - b**5.
2*b**3*(b - 1)*(3*b - 2)
Suppose -3*g + 339 = 2*l - 0*g, 4*g - 172 = -l. Factor p**2 + l + 0*p**2 - 169.
(p - 1)*(p + 1)
Let d be (-6)/7*(-210)/45. Suppose 5*w + d*t = 10, -w - 9*t = -8*t - 2. Let w + 2*i + 1/2*i**2 = 0. Calculate i.
-2
Let l(a) be the second derivative of -4/9*a**2 - 12*a + 71/45*a**5 + 40/27*a**3 - 41/18*a**4 - 11/27*a**6 + 0. Find c such that l(c) = 0.
2/11, 2/5, 1
Let u(m) be the first derivative of m**4/18 - 7*m**3/9 + 2*m**2 - m - 26. Let c(k) be the first derivative of u(k). Solve c(y) = 0 for y.
1, 6
Let y(d) be the first derivative of -d**3/21 - 57*d**2/14 + 58*d/7 - 110. What is h in y(h) = 0?
-58, 1
Let n(a) = a**2 + 11*a - 11. Suppose -17*i = -w - 14*i + 8, -4*i - 8 = 0. Let h(y) = -y**2 - y - 1. Let t(j) = w*n(j) - 6*h(j). Factor t(g).
4*(g + 4)*(2*g - 1)
Let o(a) be the first derivative of a**4/18 + 4*a**3/9 + a**2 + 8*a/9 - 112. Factor o(g).
2*(g + 1)**2*(g + 4)/9
Let h be ((-48)/168)/((-4)/70). Let r(d) be the third derivative of 0*d - 1/30*d**6 + 0*d**3 + h*d**2 + 0*d**5 + 0*d**4 + 0. Factor r(t).
-4*t**3
Let n be (24/(-63))/((29/(2233/66))/(-4)). Find s, given that 0 - 4/9*s**4 + 16/9*s**2 - n*s + 4/9*s**3 = 0.
-2, 0, 1, 2
Let i = -1 - -10. Let z be -2 - i/(-3) - -3. Determine v, given that 6*v**5 - 9*v**z + v**5 + 6*v**3 - 4*v**5 = 0.
0, 1, 2
Let v = 221/2358 + -5/131. Let t(q) be the second derivative of -v*q**4 + 0 - 1/3*q**2 + 2/9*q**3 - q. Factor t(a).
-2*(a - 1)**2/3
Let a(z) = 4*z**3 + 8*z**2 - 20. Let c(j) = -10 - 11 - 13 + 35. Let d(b) = a(b) + 20*c(b). Let d(w) = 0. What is w?
-2, 0
Let q = -2/33549 + 3522649/67098. Let 6 