second derivative of 3/70*k**5 + 0*k**2 - 2*k - 1/105*k**6 - 1/21*k**4 + 0*k**3 + 0. Factor m(l).
-2*l**2*(l - 2)*(l - 1)/7
Factor 28*l - 5*l**4 - 2*l**3 + 37*l**3 + 0*l - 80*l**2 + 32*l.
-5*l*(l - 3)*(l - 2)**2
Let b(s) = s**2 - 22*s + 123. Let t be b(11). Factor -t*v**2 + 13/2*v - 3/2.
-(v - 3)*(4*v - 1)/2
Suppose 5*m = -41*m + 5*m. Let v(q) be the first derivative of -11 + 1/4*q**2 + m*q + 2/3*q**3. What is a in v(a) = 0?
-1/4, 0
Let j(u) be the third derivative of u**5/25 + 9*u**4/8 - 18*u**3/5 + 96*u**2. Factor j(x).
3*(x + 12)*(4*x - 3)/5
Suppose -2*s + 5 = p, -s + 25 = 2*s + 5*p. Suppose -7*g + g + 12 = s. Factor -1/2*y**g + 0 + 0*y.
-y**2/2
Let x(p) be the third derivative of p**9/151200 + p**8/10080 + p**7/1800 + p**6/600 - p**5/15 + 27*p**2. Let n(u) be the third derivative of x(u). Factor n(m).
2*(m + 1)**2*(m + 3)/5
Let m be (3 - 3*-19) + -4. Let f = -23 + m. Factor -4 + f*v + 2*v**2 + 2*v**2 - 33*v.
4*(v - 1)*(v + 1)
Factor 110/7*q - 2/7*q**2 - 312/7.
-2*(q - 52)*(q - 3)/7
Suppose 0 = -0*f + f - 9*f. Let t(u) = 2*u - 4. Let o be t(3). Factor 2*n**3 + n + 4*n**o + n + f*n**2.
2*n*(n + 1)**2
Factor 144/11*a - 174/11*a**2 + 24/11*a**3 + 0 + 6/11*a**4.
6*a*(a - 3)*(a - 1)*(a + 8)/11
Let o be 1*(-5)/180*(1 + -2). Let s(b) be the second derivative of b - 3/2*b**2 + 1/3*b**3 + 0 - o*b**4. Factor s(g).
-(g - 3)**2/3
Let f(p) be the second derivative of -p**6/6 + 5*p**4/12 - 77*p. Suppose f(v) = 0. What is v?
-1, 0, 1
Let w(o) be the third derivative of -8*o**2 + 0*o**3 + 0 - 1/180*o**5 + 0*o - 1/72*o**4. Suppose w(q) = 0. What is q?
-1, 0
Let p(q) be the first derivative of 12*q**5/55 - q**4/22 - 196*q**3/33 + 16*q**2/11 + 64*q/11 + 359. Suppose p(j) = 0. What is j?
-4, -1/2, 2/3, 4
Factor -83436*r - 9*r**2 + 83301*r - 3*r**3 + 45*r**2 + 150.
-3*(r - 5)**2*(r - 2)
Let l be 1*((-14)/(-2) + -6 + 4). Factor -s**3 - 35*s - 15*s**2 - 30*s**2 - 10 - 24*s**3 + 0*s - l*s**4.
-5*(s + 1)**3*(s + 2)
Let y be -4 + -5 + 14 + -2. Let a(s) be the first derivative of 1/20*s**5 + 1/8*s**6 - 1/12*s**y - 5/16*s**4 - 1 + 1/4*s**2 + 0*s. Let a(n) = 0. What is n?
-1, 0, 2/3, 1
Let m(i) = -2*i**2 - i**3 + 8*i + 4*i**2 + 2*i**3. Let n(y) be the second derivative of -y**3/6 + 2*y - 19. Let w(x) = -2*m(x) - 14*n(x). Factor w(h).
-2*h*(h + 1)**2
Let v(b) be the third derivative of 8/15*b**4 + 0 + 0*b + 49/300*b**6 + 10*b**2 + 4/15*b**3 + 77/150*b**5. Suppose v(z) = 0. Calculate z.
-1, -2/7
Factor -16/13*w - 2/13*w**3 + 32/13 - 14/13*w**2.
-2*(w - 1)*(w + 4)**2/13
Let b(g) be the first derivative of -g**5/40 + g**4/16 + g**3/2 + 7*g**2/2 + 16. Let y(p) be the second derivative of b(p). Determine l so that y(l) = 0.
-1, 2
Let h(b) be the third derivative of 0 - 10*b**2 - 1/28*b**4 - 1/140*b**5 + 0*b + 0*b**3. Factor h(d).
-3*d*(d + 2)/7
Let z be (-9)/12 - 15/(-4). Suppose y + z*y = 12. Determine x so that 5*x**2 + 3*x - 5*x**2 + y*x**2 = 0.
-1, 0
Let h(k) be the first derivative of 4*k**3/3 + 36*k**2 + 324*k - 380. Factor h(t).
4*(t + 9)**2
Suppose 159/4*v**2 + 0 + 3/4*v**4 - 30*v - 21/2*v**3 = 0. Calculate v.
0, 1, 5, 8
Let t be 7 + (-14)/4 + -5 + 3. Solve -t*g**2 - 75/2 - 15*g = 0.
-5
Suppose 7 = 4*a - 3*a - 5*i, 5*i = 3*a - 11. Factor 857 - 851 - x**2 + 3*x**a - 8*x.
2*(x - 3)*(x - 1)
Factor -66*p**3 - 1/2*p**5 - 10*p**4 - 160*p**2 - 128*p + 0.
-p*(p + 2)**2*(p + 8)**2/2
Let f(k) be the first derivative of -k**6/14 - 9*k**5/35 + 27*k**4/28 - 5*k**3/7 + 39. Let f(q) = 0. What is q?
-5, 0, 1
Suppose 0*u = 4*u - 32. Let x(q) = q**2 - 10*q + 20. Let l be x(u). What is y in -23*y**2 - y**3 + 16*y**5 - y**3 + 24*y**l - 9*y - 1 - 5*y**3 = 0?
-1, -1/4, 1
Let n(h) be the second derivative of -h**6/6 - h**5/4 + 25*h**4/12 - 5*h**3/2 - 78*h - 1. Factor n(b).
-5*b*(b - 1)**2*(b + 3)
Let r(l) = l**2 + 5*l - 3. Let c be r(-6). Factor 6*z**3 + 4*z**3 + 4*z**3 - 12*z + 24*z**2 + z**c.
3*z*(z + 2)*(5*z - 2)
Suppose 15 = 5*y, -6*y = -5*p - 2*y + 8. Let j(c) be the second derivative of 0*c**3 - 5*c - 1/72*c**p + 0 + 1/3*c**2. Factor j(x).
-(x - 2)*(x + 2)/6
Suppose -18 = -7*t + 3. Suppose -3 = -5*x + 4*d + 3, -t*x = 3*d - 9. Determine m so that 3/8*m + 3/8*m**3 - 3/4*m**x + 0 = 0.
0, 1
Let g(c) be the first derivative of 300*c**2 - 22 + 245/4*c**4 + 665/3*c**3 + 180*c. Factor g(o).
5*(o + 1)*(7*o + 6)**2
Let p = 9491 - 9489. Factor -5/2*m**3 + 0 - 15/2*m**p + 0*m.
-5*m**2*(m + 3)/2
Let o(f) = 2*f**2 - 2*f - 2. Let y be o(2). Let i(a) = -a**3 - 10*a**2 - 9*a + 2. Let c be i(-9). Factor 2*t**c + 2*t - 2*t**y + t**2 - 3*t.
t*(t - 1)
Let t(m) be the second derivative of m**6/75 + 7*m**5/50 - 3*m**4/10 - 7*m**3/15 + 8*m**2/5 + 11*m - 5. Find n, given that t(n) = 0.
-8, -1, 1
Let i(l) be the first derivative of -3/4*l**4 + 0*l - l**3 + 1/2*l**6 + 0*l**2 + 1 + 3/5*l**5. Factor i(o).
3*o**2*(o - 1)*(o + 1)**2
Let i(h) be the third derivative of -h**7/3360 + h**5/160 + h**4/48 + 4*h**3/3 - 4*h**2. Let d(n) be the first derivative of i(n). Factor d(q).
-(q - 2)*(q + 1)**2/4
Suppose -5*w - 8 = -u, -u + 2*w + 32 = u. Suppose -3*p + 4*x - 8 = p, 4*x - u = -p. Suppose 4/5*k**p + 7/5*k - 2/5 = 0. Calculate k.
-2, 1/4
Let l be 63/14*(0 - 40/(-36)). Let 0 + 0*x + 1/3*x**4 - 1/3*x**l - 1/3*x**2 + 1/3*x**3 = 0. What is x?
-1, 0, 1
Solve -20 - 4*o + 33*o + 68 + o**3 - 4*o**3 + 7*o = 0 for o.
-2, 4
What is v in -30/7*v - 2/7*v**2 - 4 = 0?
-14, -1
Let b(k) be the third derivative of -1/30*k**4 + 1/150*k**5 + 0 + 18*k**2 - 1/5*k**3 + 0*k. Factor b(f).
2*(f - 3)*(f + 1)/5
Let w(q) be the second derivative of q**4/54 - 7*q**3/27 + 2*q**2/3 + q + 9. Factor w(k).
2*(k - 6)*(k - 1)/9
Let n(x) be the third derivative of -x**9/15120 + x**7/1260 + x**5/10 + 5*x**2. Let j(g) be the third derivative of n(g). Factor j(y).
-4*y*(y - 1)*(y + 1)
Solve 240*h + 25 - 227 + 5*h**2 - 43 = 0.
-49, 1
Suppose 14*l - 19*l = -25. Let x(q) be the third derivative of -1/90*q**l + 0 + 1/18*q**4 + 0*q - q**2 - 1/9*q**3. Factor x(a).
-2*(a - 1)**2/3
Let w(l) be the third derivative of -1/105*l**5 + 12*l**2 + 0 + 0*l - 1/84*l**4 + 1/21*l**3. Find r such that w(r) = 0.
-1, 1/2
Suppose 0 = -4*f + 5*w + 44, 5 = -5*w - 15. Let g(y) be the first derivative of f + y**2 - 4*y - 1/12*y**3. Determine l, given that g(l) = 0.
4
Let w(a) be the second derivative of -1/6*a**4 + 0 + 1/15*a**6 - 26*a + 0*a**2 + 3/10*a**5 + 0*a**3 - 1/7*a**7. Determine l, given that w(l) = 0.
-1, 0, 1/3, 1
Let h(n) be the first derivative of n**6/1620 - n**5/540 - n**4/18 + 8*n**3/3 + 19. Let r(z) be the third derivative of h(z). Find j such that r(j) = 0.
-2, 3
Factor -56/5*m**2 + 52/5*m + 4/5.
-4*(m - 1)*(14*m + 1)/5
Let p = -81 - -90. Let j(q) = q**3 - 10*q**2 + 12*q - 22. Let c be j(p). Suppose -6/19*m**3 + 0*m + 4/19*m**2 - 16/19*m**4 - 6/19*m**c + 0 = 0. Calculate m.
-2, -1, 0, 1/3
Let g(z) = 115*z + 2. Let s be g(-1). Let j = s - -343/3. Let -j*o + o**3 + 5/3*o**2 - 4/3 = 0. What is o?
-2, -2/3, 1
Let a be (4/12)/(3/18). Suppose 0 = 3*f - 6*f - 15, 2*b - a*f = 16. Solve 5 - b*m**3 - 3 + 5*m**3 + 2*m**2 - 4 - 2*m = 0 for m.
-1, 1
Let j(r) = 3*r**3 + 2*r**2 - 17*r + 12. Let u(n) = -6*n**3 - 3*n**2 + 33*n - 24. Let c(h) = 9*j(h) + 4*u(h). Factor c(b).
3*(b - 1)**2*(b + 4)
Let v(f) = f**4 - f**3 + 2*f**2 + f + 1. Let r(t) = 4*t**4 - 13*t**3 + 39*t**2 - 41*t + 23. Let w(m) = 2*r(m) - 6*v(m). Suppose w(g) = 0. What is g?
1, 2, 5
Let s(a) = -a**2 - 5*a - 1. Let l(m) = m**2 - 120*m - 127. Let j(t) = 2*l(t) + 4*s(t). Factor j(r).
-2*(r + 1)*(r + 129)
Let b(p) be the first derivative of 3*p**4/20 + p**3/5 - 6*p**2/5 - 12*p/5 + 130. Factor b(f).
3*(f - 2)*(f + 1)*(f + 2)/5
Let i = -76 - -81. Let g(n) = n**2 - 14*n + 48. Let j be g(i). Let -2/3 + 2/3*d + 2/3*d**2 - 2/3*d**j = 0. Calculate d.
-1, 1
Let q(d) = 23*d**3 - 38*d**2 + 5*d + 52. Let b(a) = -7*a**3 + 13*a**2 - a - 17. Let h(m) = 7*b(m) + 2*q(m). Let h(r) = 0. Calculate r.
-1, 1, 5
Let b(c) be the third derivative of -c**7/70 - 3*c**6/20 - 2*c**5/5 + 3*c**4/4 + 9*c**3/2 + 25*c**2. Let b(d) = 0. Calculate d.
-3, -1, 1
Let s be (-498)/830 - 1/(-1). Determine o so that 3/2*o**2 - s*o**3 - 3/10 - 4/5*o = 0.
-1/4, 1, 3
Let a(k) = 7*k**3 - 9*k**2 + 5*k. Let f(b) = 11*b**3 - 14*b**2 + 8*b. Let o(x) = 7*x + 27. Let z be o(-5). Let v(g) = z*a(g) + 5*f(g). What is h in v(h) = 0?
0, 2
Let t be 13/((-273)/6)*(-56)/64. Let