/3
Let z(q) be the third derivative of q**6/480 - q**5/240 - q**4/96 + q**3/24 + 42*q**2. Determine f, given that z(f) = 0.
-1, 1
Let r(b) be the third derivative of 6*b**2 + 0*b + 0*b**6 + 0*b**4 + 0 + 0*b**3 + 0*b**5 - 1/1680*b**7. Suppose r(q) = 0. Calculate q.
0
Let r(g) be the second derivative of -g**6/420 + g**5/84 + g**4/42 + g**3/6 - 3*g. Let o(d) be the second derivative of r(d). Determine p, given that o(p) = 0.
-1/3, 2
Let t(q) = 7*q - 2. Let c be t(5). Let l(u) = -2*u**3 - 3*u**2 + 6*u + 7. Let s(n) = -15*n**3 - 24*n**2 + 48*n + 57. Let p(f) = c*l(f) - 4*s(f). Factor p(w).
-3*(w - 1)*(w + 1)*(2*w + 1)
Let y(g) be the first derivative of 1/14*g**4 + 4/7*g - 3/7*g**2 - 8 + 0*g**3. Determine k so that y(k) = 0.
-2, 1
Factor 0*v**3 + 1/3*v**4 + 0 - 1/3*v**2 + 0*v.
v**2*(v - 1)*(v + 1)/3
Let j be 27/4 - 2/(-8) - 2. Let g(z) be the second derivative of -1/60*z**6 + 1/24*z**4 - z + 1/40*z**j + 0 - 1/12*z**3 + 0*z**2. Find r such that g(r) = 0.
-1, 0, 1
Factor -q**2 - q**2 - 9*q**3 - 6*q**5 - q**3 - 14*q**4.
-2*q**2*(q + 1)**2*(3*q + 1)
Let b(r) be the third derivative of r**7/735 + 2*r**2. Suppose b(y) = 0. Calculate y.
0
Let s = -2 - -2. Suppose s = -0*n - 2*n + 4. Factor -2 + 6*c + 2*c**2 + n*c**3 - 5*c**3 - 3*c.
-(c - 1)*(c + 1)*(3*c - 2)
Let u = 231/5 - 12119/270. Let f = u + 1/54. Find a, given that 0 + 0*a + f*a**2 + 2*a**3 = 0.
-2/3, 0
Suppose -3*w + 16 = 2*g + 2, 0 = 2*g + 4*w - 18. Let z = g - 1. Factor z + 8/7*u**2 - 8/7*u - 2/7*u**3.
-2*u*(u - 2)**2/7
Let j be (2/(-90)*-3)/1. Let k(w) be the second derivative of -1/10*w**5 + 0*w**3 - j*w**6 - 1/63*w**7 - 1/18*w**4 + 0 + w + 0*w**2. Factor k(u).
-2*u**2*(u + 1)**3/3
Let r(a) be the third derivative of -a**9/40320 + a**8/2688 - a**7/420 + a**6/120 - a**5/60 + 6*a**2. Let u(k) be the third derivative of r(k). Factor u(j).
-3*(j - 2)**2*(j - 1)/2
Let 8/21*v - 2/21*v**2 - 8/21 = 0. What is v?
2
Let b(r) = -r**3 + 9*r**2 + 9*r + 13. Let q be b(10). Determine u, given that 27*u**q + u**5 + u**4 - 27*u**3 = 0.
-1, 0
Let t(z) = -3*z**2 - 9*z - 21. Let l(o) = 1. Let h(q) = 15*l(q) + t(q). What is m in h(m) = 0?
-2, -1
Let q(t) be the first derivative of -t**4/12 + 7*t**3/9 - 5*t**2/2 + 3*t - 3. Factor q(u).
-(u - 3)**2*(u - 1)/3
Find t, given that 81*t**4 + 23*t**3 + 77*t**3 + 3*t - 38*t**3 + 27*t**2 + 19*t**3 = 0.
-1/3, 0
Let m(z) be the second derivative of -z**5/90 - z**4/24 - z**3/18 + 9*z**2/2 - 3*z. Let y(t) be the first derivative of m(t). Factor y(h).
-(h + 1)*(2*h + 1)/3
Determine n, given that -14/3*n**3 + 0 + 8/3*n - 2*n**4 + 0*n**2 = 0.
-2, -1, 0, 2/3
Let s be (-2)/((800/(-30))/10). Solve -1/2*h**2 + s + h**3 - h - 1/4*h**4 = 0 for h.
-1, 1, 3
Let q be (((-26)/32)/13)/(1/(-2)). Let w(n) be the second derivative of -n + 1/6*n**3 - q*n**4 + 1/40*n**5 + 0*n**2 + 0. Find f such that w(f) = 0.
0, 1, 2
Let d(g) be the third derivative of -g**7/210 + g**6/180 + g**5/180 + 21*g**2. Factor d(i).
-i**2*(i - 1)*(3*i + 1)/3
Suppose 0 + 4/3*s**2 + 4/3*s**3 + 0*s = 0. What is s?
-1, 0
Factor -159*u**2 + 78*u**2 + 76*u**2 - 10*u.
-5*u*(u + 2)
Factor a - 3/7 - 5/7*a**2 + 1/7*a**3.
(a - 3)*(a - 1)**2/7
Let j(l) = -2*l - 4. Let t be j(-4). Factor 19*g + 18*g**3 + 12*g**2 + 3*g**t + 0*g**4 + 24*g**2 + 5*g.
3*g*(g + 2)**3
Factor 0 + 9*p**2 + 3/2*p.
3*p*(6*p + 1)/2
Let p = -9 + 12. Let l(n) be the first derivative of -1 + 1/14*n**4 - 2/7*n + 2/21*n**p - 1/7*n**2. Factor l(q).
2*(q - 1)*(q + 1)**2/7
Let s(l) be the second derivative of -l**7/5040 - l**6/1440 + l**4/12 - l. Let b(r) be the third derivative of s(r). Factor b(z).
-z*(z + 1)/2
Let 3/5*j**2 + 0 + 6/5*j = 0. What is j?
-2, 0
Let c(v) = 2*v**2 + 4*v + 7. Let a(x) be the second derivative of -x**3 - 11/2*x**2 - 1/4*x**4 + x + 0. Let y(b) = -5*a(b) - 8*c(b). Factor y(z).
-(z + 1)**2
Let q(x) be the second derivative of x**7/168 + x**6/120 - x**5/80 - x**4/48 - 63*x - 2. What is u in q(u) = 0?
-1, 0, 1
Suppose 0 = -3*i + 2*i + 6. Suppose 3*b = 9 + i. Factor 5*w**3 - w**3 + 2*w**2 + 1 - 3*w**4 - 2*w**3 + w**b - 3*w.
(w - 1)**4*(w + 1)
Suppose -4*u**4 - 58*u + 73*u**2 - 36 - 65*u**2 + 16*u**3 + 10*u = 0. Calculate u.
-1, 3
Let a be ((-49)/294)/((-2)/8). Determine w, given that 1/3*w**2 - a + 1/3*w = 0.
-2, 1
Solve -2/3*z + 2/9 - 2/9*z**2 + 2/3*z**3 = 0 for z.
-1, 1/3, 1
Let i be (-33 + -3)/(-4) + -6. What is w in 0 - 4/3*w**2 + 2/3*w + 2/3*w**i = 0?
0, 1
Solve 1349 - 5*o**2 - 60*o - 1349 = 0.
-12, 0
Solve 2/7*o**3 + 6/7*o**2 + 4/7 - 10/7*o - 2/7*o**4 = 0.
-2, 1
Let y(m) be the third derivative of -1/75*m**5 - 1/60*m**4 + 7*m**2 + 0*m + 0 + 1/15*m**3. Factor y(p).
-2*(p + 1)*(2*p - 1)/5
Suppose d - 4*u = 26, -22 - 9 = -d + 5*u. Let v = -3 + d. Determine h so that -1/3*h**5 + 0*h + 1/3*h**2 + h**4 - h**v + 0 = 0.
0, 1
Factor 0 + 3/5*t**2 + 0*t.
3*t**2/5
Let s(t) be the third derivative of -t**9/22680 + t**8/20160 + t**7/7560 - t**4/24 - t**2. Let x(b) be the second derivative of s(b). Factor x(f).
-f**2*(f - 1)*(2*f + 1)/3
Let y be 0/(2/2 - 2). Let j(n) be the first derivative of 1/3*n**2 + 1 - 1/6*n**4 + y*n + 0*n**3. Factor j(m).
-2*m*(m - 1)*(m + 1)/3
Find f such that 4*f - f**3 - f**2 - f - f = 0.
-2, 0, 1
Let v(z) = -z**3 + 4*z**2 + 7*z - 7. Let y = 31 - 26. Let g be v(y). Find a such that 0*a**g - 2/7 + 4/7*a**2 + 0*a - 2/7*a**4 = 0.
-1, 1
Let w(c) = -10*c**2 - 4. Let h(d) = -3*d**2 - 1. Let k(t) = 7*h(t) - 2*w(t). Factor k(g).
-(g - 1)*(g + 1)
Let o(j) = 4*j**2 + 5*j + 1. Let b(d) = 10*d**2 + 12*d + 2. Let s(f) = 5*b(f) - 12*o(f). Find c, given that s(c) = 0.
-1, 1
Let j = -48/13 - -266/65. Suppose 18*p = -3*p + 42. Find s such that 1/5*s**p + j - 3/5*s = 0.
1, 2
Suppose g = -0 + 21. Let l(c) = -c**3 + c**2. Let w(q) = 6*q**3 - q**2 - 9*q. Let i(h) = g*l(h) + 3*w(h). Factor i(m).
-3*m*(m - 3)**2
Let c(h) be the first derivative of -242*h**3/39 + 44*h**2/13 - 8*h/13 - 19. Suppose c(l) = 0. What is l?
2/11
Let f(l) be the third derivative of l**7/840 + l**6/160 + l**5/80 + l**4/96 + 7*l**2. Find b such that f(b) = 0.
-1, 0
Find v, given that 1/6*v**3 + 3/2*v + v**2 + 2/3 = 0.
-4, -1
Suppose -2*h + 3*h = 3, -h = -v - 1. Let x(t) be the first derivative of 7/9*t**6 + 32/15*t**5 + 4/9*t**3 + 0*t + 11/6*t**4 + 0*t**2 + v. Factor x(c).
2*c**2*(c + 1)**2*(7*c + 2)/3
Let q(g) be the second derivative of -g**9/7560 - g**8/2100 - g**7/2100 - 5*g**3/6 + 6*g. Let m(d) be the second derivative of q(d). Let m(n) = 0. Calculate n.
-1, 0
Let q(o) = -o**2 + 2*o + 6. Suppose 0*t + 18 = x - 5*t, 0 = -5*x - t - 14. Let v(d) = -d**2 - d + 1. Let b(l) = x*v(l) + q(l). Factor b(m).
(m + 2)**2
Let c(v) be the third derivative of v**8/168 + 22*v**7/525 + 19*v**6/150 + 16*v**5/75 + 13*v**4/60 + 2*v**3/15 - 3*v**2. Let c(g) = 0. What is g?
-1, -2/5
Let g(w) be the third derivative of w**6/100 + w**5/100 - 9*w**2. Factor g(v).
3*v**2*(2*v + 1)/5
Let q(r) be the first derivative of 1/6*r**2 + 1/12*r**4 - 2/9*r**3 + 3 + 0*r. Factor q(i).
i*(i - 1)**2/3
Let n(w) = 3*w**3 + 7*w**2 + 5*w. Let l(h) = 2*h**3 + 4*h**2 + 3*h. Let k(g) = -10*l(g) + 6*n(g). Find b such that k(b) = 0.
0, 1
Factor -3/5*g + 6/5*g**2 - 6/5 + 3/5*g**3.
3*(g - 1)*(g + 1)*(g + 2)/5
Let o(l) be the first derivative of -2*l**3 - 4*l + l - 3*l**2 + l**3 - 4. Find c, given that o(c) = 0.
-1
Let c be (-2)/(1/((-1)/9)). Factor 2/3*x + 4/9 + c*x**2.
2*(x + 1)*(x + 2)/9
Suppose 3*x - 4 = x. Let n(r) be the first derivative of 2/3*r**3 - 3 + 0*r**2 - x*r. Suppose n(a) = 0. What is a?
-1, 1
Let q be (-5)/1*(-7)/105*9. Let x(l) be the third derivative of 2*l**2 + 1/210*l**5 + 1/28*l**4 + 0*l + 2/21*l**q + 0. Find m, given that x(m) = 0.
-2, -1
Let w(r) be the second derivative of -r**7/98 - r**6/70 + 9*r**5/140 + r**4/28 - r**3/7 + 49*r. Find m such that w(m) = 0.
-2, -1, 0, 1
Let h(o) be the third derivative of o**6/40 + 3*o**5/20 - o**4/8 - 3*o**3/2 - 30*o**2. What is b in h(b) = 0?
-3, -1, 1
Let r(a) = 3*a**3 - a**2 + a. Let c be r(1). Let y be 3 + (-1 - (c - 3)). Factor -1/4*g**3 + 0 + 0*g - 1/4*g**5 + 0*g**y + 1/2*g**4.
-g**3*(g - 1)**2/4
Let o(j) be the third derivative of 0*j + 0*j**5 - 2*j**2 + 0 - 1/300*j**6 + 0*j**3 + 0*j**4 + 1/525*j**7. Let o(b) = 0. What is b?
0, 1
Let s be (12/14)/(25/35). Find g, given that 2/5*g**2 + 6/5*g - 2/5 - s*g**3 = 0.
-1, 1/3, 1
Factor -70/3*u**2 + 50/3*u**3 + 22/3