/22323. Factor 18/7*u + 8/7*u**2 + q.
2*(u + 2)*(4*u + 1)/7
Let y(h) = -4*h**2 + 6*h - 38. Let t(a) = -3*a**2 + 6*a - 36. Let l(u) = 7*t(u) - 6*y(u). Factor l(d).
3*(d - 2)*(d + 4)
Let m(s) be the second derivative of 4/13*s**2 - 1/26*s**4 - 4/39*s**3 + 1/65*s**5 + 0 - 3*s + 1/195*s**6. Determine z, given that m(z) = 0.
-2, 1
Let s(i) = -i. Let f(r) = r**3 - 6*r + 2. Let g(d) = -f(d) + 3*s(d). Factor g(a).
-(a - 1)**2*(a + 2)
Let o(p) = 8*p**4 - 23*p**3 + 7*p**2 + 18*p - 20. Let x(v) = 9*v**4 - 24*v**3 + 6*v**2 + 18*v - 21. Let d(n) = 6*o(n) - 5*x(n). Factor d(q).
3*(q - 5)*(q - 1)**2*(q + 1)
Let h(a) be the second derivative of -3*a**7/7 - 4*a**6/5 + a**5/5 + 2*a**4/3 - a**3/3 + a. Factor h(x).
-2*x*(x + 1)**2*(3*x - 1)**2
Let x = -27 + 13. Let s be (-4)/x*(-28)/(-20). Find y such that s + 2/5*y**2 + 4/5*y = 0.
-1
Suppose 12/5*a - 42/5*a**2 - 6*a**4 + 0 + 54/5*a**3 + 6/5*a**5 = 0. What is a?
0, 1, 2
Factor 2/7*k**3 + 96/7*k + 24/7*k**2 + 128/7.
2*(k + 4)**3/7
Let p(a) = -60 - 15*a**2 + 44 + 3*a**2 - 24*a. Let j(n) = -80 - 111*n - 9*n - 17*n**2 + n**3 - 43*n**2. Let u(i) = -2*j(i) + 11*p(i). Factor u(d).
-2*(d + 2)**3
Let m(g) be the second derivative of 0*g**2 + 0*g**3 + g**4 - 3*g + 0 - 1/14*g**7 - 3/10*g**6 + 0*g**5. Find v, given that m(v) = 0.
-2, 0, 1
Factor -2/5*y**3 + 16/5 + 8/5*y + 2/5*y**4 - 12/5*y**2.
2*(y - 2)**2*(y + 1)*(y + 2)/5
Let b(y) be the third derivative of -y**7/840 + y**5/120 + y**3/3 + 2*y**2. Let i(k) be the first derivative of b(k). Determine c, given that i(c) = 0.
-1, 0, 1
Let h(b) be the first derivative of 4*b**3/3 - 4*b + 5. Factor h(q).
4*(q - 1)*(q + 1)
Let u = -847 - -849. Suppose 3/2*g + 1/2*g**u + 1 = 0. Calculate g.
-2, -1
Let y = -31/3 - -127/12. What is a in y*a + 1/4 - 1/4*a**3 - 1/4*a**2 = 0?
-1, 1
Let t(b) = b + 8. Let j be t(-5). Suppose 5*g**5 + 11*g**j - 3*g**3 + 12*g**4 + 0*g**3 - g**5 = 0. Calculate g.
-2, -1, 0
Let c(z) = -4*z**3 - 12*z**2 - 8*z - 24. Let d(h) = h**3 + h**2 + 1. Let s(g) = c(g) + 24*d(g). Factor s(b).
4*b*(b + 1)*(5*b - 2)
Let a(y) = -y**2 - 29*y - 67. Let i(o) = 28*o + 68. Let s(r) = 4*a(r) + 3*i(r). Factor s(h).
-4*(h + 4)**2
Let v(f) = -f + 7. Let r be v(-5). Suppose 6*t = t + 4*x + r, -6 = -2*t + 2*x. Factor 2*y + y + 3*y**4 + 12*y**3 + 15*y**2 + 3*y + t*y**4.
3*y*(y + 1)**2*(y + 2)
Let j = 11398/9961 + -2/1423. Factor 16/7*i - 6/7*i**2 - j.
-2*(i - 2)*(3*i - 2)/7
Factor 0 - 1/3*p**2 + 1/3*p**3 - 2/3*p.
p*(p - 2)*(p + 1)/3
Let i be -4 - (7 + -12 + -2). Find m, given that 6*m**4 + 0 + 9*m**2 - 3/2*m - 27/2*m**i = 0.
0, 1/4, 1
Factor 6*k**3 - k**5 + k**2 + k**4 - 5*k**3 - 2*k**4.
-k**2*(k - 1)*(k + 1)**2
Let a(j) = -7*j**2 - 2*j - 5. Let q(c) = -10*c**2 - 3*c - 7. Suppose -2 - 5 = l. Let g(u) = l*a(u) + 5*q(u). Find v such that g(v) = 0.
-1, 0
Let r(f) = -1 - 1 + 3 - 3*f**3 + 4*f**3. Let h(j) = -j**4 + 4*j**3 + j**2 + 4. Let g(t) = h(t) - 4*r(t). Let g(b) = 0. Calculate b.
-1, 0, 1
Let w(x) be the first derivative of 0*x + 2/27*x**3 + 1/18*x**4 - 2/45*x**5 - 1/9*x**2 - 1. Factor w(u).
-2*u*(u - 1)**2*(u + 1)/9
Let l(m) be the second derivative of -m**6/15 + 2*m**5/5 - 5*m**4/6 + 2*m**3/3 + 6*m. Factor l(o).
-2*o*(o - 2)*(o - 1)**2
Let w = -1 + -4. Let o = -2 - w. What is a in a**3 - 3*a**2 - 3*a**o + a**2 = 0?
-1, 0
Let h(x) be the first derivative of x**5/5 + 3*x**4/4 + 2*x**3/3 - 1. Let h(s) = 0. What is s?
-2, -1, 0
Let y be (2/(-10))/(-6 + 2). Let m(u) be the first derivative of 0*u**3 + 0*u**2 + 0*u + 1/16*u**4 + 1 - y*u**5. Determine t, given that m(t) = 0.
0, 1
Let d(a) = a**3 + 16*a**2 - 16*a + 20. Let g be d(-17). Let q be (-6)/(g + 63/(-6)). Suppose -2/5*p**3 + q + 6/5*p + 0*p**2 = 0. Calculate p.
-1, 2
Suppose 5*u - 13 = 12. Let 3*y**4 + u*y**5 - y**2 + y**5 + 0*y**2 - 9*y**3 - 2*y**2 + 3*y = 0. What is y?
-1, 0, 1/2, 1
Let h(r) be the second derivative of 1/6*r**3 - 1/1080*r**6 + 0 + 1/72*r**4 + 2*r + 0*r**2 + 0*r**5. Let q(a) be the second derivative of h(a). Solve q(k) = 0.
-1, 1
Let k(c) be the third derivative of c**7/210 - c**6/120 - c**5/60 + c**4/24 - 5*c**2. Factor k(n).
n*(n - 1)**2*(n + 1)
Let m = 57 + -54. Let 4/11*o**m - 2/11*o**2 - 2/11*o**4 + 0 + 0*o = 0. What is o?
0, 1
Let s be -3 + 248/32 + 2/8. Factor 3/5*x**3 + 0*x + 0 + 6/5*x**4 + 0*x**2 + 3/5*x**s.
3*x**3*(x + 1)**2/5
Let m(c) be the third derivative of -2*c**2 + 1/105*c**7 + 0*c**3 + 0*c + 0 + 1/90*c**6 + 0*c**4 + 1/504*c**8 + 0*c**5. Factor m(r).
2*r**3*(r + 1)*(r + 2)/3
What is i in -26 - 6*i + 18*i + 33*i + 5 + 3*i**3 - 27*i**2 = 0?
1, 7
Let x(f) be the first derivative of -f**9/1008 + f**7/280 - 5*f**3/3 + 1. Let k(h) be the third derivative of x(h). Find j, given that k(j) = 0.
-1, 0, 1
Let w(f) be the second derivative of -25/21*f**7 + 0 + 8/5*f**5 + 0*f**2 + 0*f**3 + 1/3*f**6 - 8*f + 2/3*f**4. Solve w(y) = 0 for y.
-2/5, 0, 1
What is w in -3/5*w**3 + 6/5*w + 9/5*w**2 - 3/5*w**5 - 9/5*w**4 + 0 = 0?
-2, -1, 0, 1
Suppose o + p - 10 = 0, 10 = 4*p + p. Let u be 1/(-3) - 30/(-9). Let -c**u - 3*c - 4*c**4 - o + 3*c + 4*c + 10*c**2 - c**5 = 0. Calculate c.
-2, 1
Let d(w) = w**2 + 1. Let y be d(-2). Suppose 15 = -y*u, 3*h - 9 = -u - 3. Factor 3/2*z**2 - 3/2*z + 1/2 - 1/2*z**h.
-(z - 1)**3/2
Let y(t) be the second derivative of -t**6/30 + t**5/20 + 5*t**4/12 + t**3/2 - 11*t. Factor y(n).
-n*(n - 3)*(n + 1)**2
Suppose 3*c - 6*c = 0. Let i(p) be the first derivative of c*p - 2/7*p**4 + 2/7*p**3 - 3 + 1/7*p**2. Solve i(q) = 0 for q.
-1/4, 0, 1
Let p(i) be the first derivative of i**7/735 - i**5/70 + i**4/42 - 2*i**2 - 6. Let q(y) be the second derivative of p(y). Determine l so that q(l) = 0.
-2, 0, 1
Let h(g) be the first derivative of g**4/5 + 4*g**3/15 - 21. Solve h(r) = 0 for r.
-1, 0
Suppose -i - 15 = 2*d + 4*i, 0 = -4*i - 12. What is b in d*b - 2/9*b**2 + 2/9 = 0?
-1, 1
Let h(c) be the first derivative of -c**3/6 - 5*c**2/4 - 5. Factor h(n).
-n*(n + 5)/2
Let u(z) be the first derivative of z**7/21 + z**6/5 - 2*z**4/3 - 5*z + 1. Let v(j) be the first derivative of u(j). Factor v(t).
2*t**2*(t - 1)*(t + 2)**2
Let n be 9/132 + (39/33 - 1). Factor 0 - 1/4*l**3 + 1/2*l**2 - n*l.
-l*(l - 1)**2/4
Factor 20 - 4*q**2 + 0*q**2 - 42 + 18 - 8*q.
-4*(q + 1)**2
Let y(a) be the first derivative of a**3/3 + 3. Let z(c) = 20*c**2 + 8*c + 1. Let o(s) = 4*y(s) - z(s). Solve o(u) = 0 for u.
-1/4
Let 4/3*w**2 - 2 - 2/3*w = 0. What is w?
-1, 3/2
Let a(w) be the first derivative of -49*w**6/18 + 77*w**5/15 + 11*w**4/2 - 52*w**3/9 + 4*w**2/3 + 6. Find y, given that a(y) = 0.
-1, 0, 2/7, 2
Let o = 44 - 39. Let k(x) be the second derivative of 0 - 1/15*x**6 + 0*x**4 + 1/5*x**o - 3*x - 2/3*x**3 + x**2. Factor k(a).
-2*(a - 1)**3*(a + 1)
Let g be (-3)/(-2)*(-3 + 26/6). Let p(s) be the first derivative of -2/3*s**3 - g - s**2 + 4*s. Find m, given that p(m) = 0.
-2, 1
Suppose -4*b = -3*r + 1 + 3, -4*r + 6 = -5*b. Let l = 6 - 4. Factor 2*d - b*d + l*d + d**2.
d*(d + 2)
Let i(p) be the first derivative of -p**6/15 + 2*p**5/25 + p**4/5 + 20. Factor i(y).
-2*y**3*(y - 2)*(y + 1)/5
Let k(v) = 2*v - 4. Let w be k(4). Suppose 2*p - 19 = -3*n - 0*n, -2*n = -3*p - w. Solve -2/3*m**n - 8/9*m**2 + 2/9*m + 0 + 8/9*m**4 + 4/9*m**3 = 0 for m.
-1, 0, 1/3, 1
Let u(s) be the third derivative of 0 + 3/40*s**5 + 0*s**3 + 1/32*s**4 + 0*s + 1/70*s**7 - 6*s**2 + 9/160*s**6. Factor u(d).
3*d*(d + 1)**2*(4*d + 1)/4
Let o(q) be the first derivative of q**4/24 + 2*q**3/9 + q**2/3 - 6. Suppose o(f) = 0. Calculate f.
-2, 0
Let a(i) be the first derivative of -4/3*i**3 - 1/2*i**5 + 4/3*i**4 + 1/15*i**6 + 0*i**2 + 2*i - 2. Let j(d) be the first derivative of a(d). Factor j(b).
2*b*(b - 2)**2*(b - 1)
Let g = -20 - -13. Let h(f) = -f**3 - 5*f**2 + 2*f + 6. Let l(p) = -p**3 - 6*p**2 + 2*p + 7. Let i(z) = g*h(z) + 6*l(z). Determine j so that i(j) = 0.
-1, 0, 2
Let o be 36/10 + 12/(-20). Find v, given that v**4 - 2*v**o + 13*v**2 - 13*v**2 = 0.
0, 2
Factor 24*l - 5 - 15 - 715*l**2 + 711*l**2.
-4*(l - 5)*(l - 1)
Let m(k) be the third derivative of k**8/2520 - k**7/630 + k**6/540 + 7*k**3/6 - 5*k**2. Let n(r) be the first derivative of m(r). Factor n(p).
2*p**2*(p - 1)**2/3
Let z(q) be the first derivative of q**7/210 + q**6/45 + q**5/30 + 5*q**3/3 + 9. Let i(d) be the third derivative of z(d). Determine b so that i(b) = 0.
-1, 0
Let h = 169/525 + 2/175. 