econd derivative of -v**7/2940 + v**6/1260 + v**5/210 - 7*v**3/6 - 30*v. Let r(p) be the second derivative of h(p). Factor r(k).
-2*k*(k - 2)*(k + 1)/7
Factor -l**2 + l**2 - 442*l**3 + 447*l**3 + 28*l**2 + 12*l**2 + 35*l.
5*l*(l + 1)*(l + 7)
Suppose 69*k = -32*k - 86*k + 374. Let r = 3 - 19/7. Determine n so that r*n**k + 4/7*n + 2/7 = 0.
-1
Let y(q) = -46*q - 42. Let i be y(-1). Let v(z) be the first derivative of 9/4*z**2 + 1/4*z**3 + 27/4*z + i. Factor v(m).
3*(m + 3)**2/4
Factor 73*w + 4*w**2 - 44*w**2 - 25*w**3 - 12*w**4 + 17*w**4 - 13*w.
5*w*(w - 6)*(w - 1)*(w + 2)
Let y(d) be the third derivative of d**6/60 + 3*d**5/2 - 3*d**2 - 3*d. Factor y(g).
2*g**2*(g + 45)
Let n(m) be the third derivative of m**8/448 - m**7/140 - 3*m**6/80 + m**5/10 + 5*m**4/32 - 3*m**3/4 - m**2 - 57. Suppose n(o) = 0. What is o?
-2, -1, 1, 3
Let m = 7136/2035 + 38/407. Determine a, given that 11/5*a**2 - m*a + 0*a**3 - 1/5*a**4 + 8/5 = 0.
-4, 1, 2
Let j = 36026/3 - 12008. Determine f, given that -j*f**2 + 16/3 + 4/3*f = 0.
-2, 4
Let f be (-1232)/(-80) + ((-3)/(-5) - 0). Let b(l) be the first derivative of -1 - 16*l + l**4 + f*l**2 - 20/3*l**3. Find j such that b(j) = 0.
1, 2
Factor -3/2*v**2 - 45 - 93/2*v.
-3*(v + 1)*(v + 30)/2
Let t(u) be the second derivative of -u**7/1120 + u**6/480 + u**3/6 + 2*u. Let g(n) be the second derivative of t(n). What is x in g(x) = 0?
0, 1
Let m(j) = 7*j**3 + 20*j**2 + 27*j + 12. Let c(t) = 14 + 40*t**2 - 5 + 55*t - 5 + 21 + 15*t**3. Let g(u) = 2*c(u) - 5*m(u). Factor g(y).
-5*(y + 1)**2*(y + 2)
Let u(x) = -x**3 + 9*x**2 + 5. Let d be u(9). Suppose -3*s + 4 = -d. Factor -1 + 4*k - 128*k**3 + 148*k**s - 7 + 32*k**2.
4*(k + 1)**2*(5*k - 2)
Let g(k) = -k**2 + 10*k - 21. Let f be g(5). Suppose 0 = -12*r + 4 - f. Factor r*n + 2/9 - 2/9*n**2.
-2*(n - 1)*(n + 1)/9
Let a = 203/66 - 43/11. Let i = a - -19/18. Solve 2/9*h**2 + 4/9*h + i = 0.
-1
Factor -13/6*c**2 - 1/6*c**3 + 29/6*c - 5/2.
-(c - 1)**2*(c + 15)/6
Let w = 29 + -38. Let q = 11 + w. Suppose 0 - 8/9*h**q + 8/9*h + 2/9*h**3 = 0. What is h?
0, 2
Let m(j) = -4*j**3 - 4*j**2 - 7. Let b(a) = -3*a**3 - 3*a**2 - 5. Let u be 3*55/(-15) + 4. Let p(i) = u*b(i) + 5*m(i). Factor p(r).
r**2*(r + 1)
Let q(a) be the second derivative of -1/84*a**7 + 12*a + 3/40*a**5 + 1/6*a**3 + 1/60*a**6 + 0*a**2 - 5/24*a**4 + 0. Factor q(w).
-w*(w - 1)**3*(w + 2)/2
Let n(l) = 14*l - 9. Let i be n(1). Suppose 5*z + 20 = i*p, -3*p - z + 4 = 4*z. Factor 0 - 2/5*g + 4/5*g**2 - 2/5*g**p.
-2*g*(g - 1)**2/5
Let a(d) = 7*d**2 - 70*d + 73. Let v(o) = 12*o**2 - 141*o + 147. Let p(q) = -9*a(q) + 5*v(q). Factor p(s).
-3*(s - 1)*(s + 26)
Let d(c) = -9*c**3 + 18*c**2 + 5*c + 11. Let y(x) = 5*x**3 - 10*x**2 - 3*x - 6. Let j(k) = 6*d(k) + 11*y(k). Suppose j(w) = 0. What is w?
-1, 0, 3
Let g(w) be the first derivative of -w**4/7 + 2*w**3/21 + w**2/7 - 190. Let g(k) = 0. What is k?
-1/2, 0, 1
Let l be 9 - -9 - (1 - -1). Let 65 + l*t**4 + 16*t**2 + 12*t**3 + 4*t + 4*t**5 + 12*t**3 - 65 = 0. What is t?
-1, 0
Let y(l) be the third derivative of l**8/2856 - 4*l**7/1785 + l**6/204 - l**5/255 + 31*l**2. Determine h so that y(h) = 0.
0, 1, 2
Suppose 0 = 4*k + 4, 5*k + 0 = -3*n - 8. Let y be (0 - n - (13 - 12))*1. Factor y*m**2 + 0 + 0*m**4 - 1/6*m**5 + 0*m + 1/6*m**3.
-m**3*(m - 1)*(m + 1)/6
Let s = -1989958/483 - -4120. Let c = 8207/966 + s. Factor -c*w + 2 + 2*w**2.
(w - 4)*(4*w - 1)/2
Suppose -4 - 7*y + 1/2*y**4 + 2*y**3 - 3/2*y**2 = 0. Calculate y.
-4, -1, 2
Let n(s) be the first derivative of 1/18*s**6 + 1/15*s**5 + 0*s**2 - 1/12*s**4 - 1/9*s**3 - 5 + 0*s. What is v in n(v) = 0?
-1, 0, 1
Let m(y) = 120*y - 117. Let s be m(1). Let 0*h - 3/7*h**2 - 3/7*h**4 + 0 - 6/7*h**s = 0. What is h?
-1, 0
Let i(y) be the first derivative of -y**6/24 + y**5/10 + y**4/2 + y**3/6 - 7*y**2/8 - y + 384. Solve i(u) = 0.
-1, 1, 4
Let x(u) be the second derivative of u**6/40 + 3*u**5/20 - u**4/2 + 19*u**2/2 + 45*u. Let f(o) be the first derivative of x(o). Find d such that f(d) = 0.
-4, 0, 1
Let v(h) be the third derivative of 121*h**7/8820 + 11*h**6/630 + h**5/105 - 3*h**4/8 + 10*h**2. Let n(d) be the second derivative of v(d). Factor n(x).
2*(11*x + 2)**2/7
Let d(g) be the first derivative of 0*g + 0*g**4 + 0*g**2 + 2/3*g**6 + 0*g**3 - 12/5*g**5 + 1. Determine w, given that d(w) = 0.
0, 3
Let z be (18/(-10))/(-3)*(-5430)/(-724). Suppose -25/2 + z*u**2 - 15/2*u - 1/2*u**3 = 0. What is u?
-1, 5
Let o = 35/136 + -1/136. Let s(q) be the third derivative of 1/40*q**6 + 0*q - 3*q**2 + 1/20*q**5 - o*q**4 + 0 + 0*q**3. Determine f so that s(f) = 0.
-2, 0, 1
Suppose 8*i = 13*i - 10. Let 3 + i*t - 2 - 4 + 0*t + t**2 = 0. What is t?
-3, 1
Let z(x) be the third derivative of -x**7/8820 + x**5/420 - 11*x**4/24 - 3*x**2. Let f(o) be the second derivative of z(o). Solve f(h) = 0 for h.
-1, 1
Let v(d) be the third derivative of 7*d**6/160 + d**5/16 - d**4/2 + d**3/2 - 3*d**2 - 26. Factor v(h).
3*(h - 1)*(h + 2)*(7*h - 2)/4
Let r be 6/4*(-40)/(-12). Let h(k) = 3*k**2 - 51*k + 5. Let g be h(17). Suppose 1 + 6*c - r*c + 8*c + 3*c**2 + g = 0. What is c?
-2, -1
Suppose -74/7*g**2 - 136/7 + 2/7*g**3 + 208/7*g = 0. Calculate g.
1, 2, 34
Factor 4/7*p + 0 + 2/7*p**2 - 2/7*p**3.
-2*p*(p - 2)*(p + 1)/7
Let s(j) be the third derivative of -j**8/336 - j**7/24 - 5*j**6/24 - 3*j**5/8 - 3*j**3/2 - 35*j**2. Let l(g) be the first derivative of s(g). Factor l(f).
-5*f*(f + 1)*(f + 3)**2
Let q(y) = -6*y**2 + 26*y - 5. Let v(z) = z**2 - 2*z + 1. Let l(w) = -2*q(w) - 18*v(w). Factor l(o).
-2*(o + 2)*(3*o + 2)
Suppose 3*s - 312 = 48. Let p be (s/105)/((-4)/(-14)). Suppose -10*h - h**4 - 9*h**5 - 26*h**4 + 34*h**5 + 35*h**2 - 8*h**p - 15*h**3 = 0. Calculate h.
-1, 0, 2/5, 1
Let c be (3/(-3))/(1 + 181). Let v = 725/546 - c. Determine i, given that 0 + 0*i + 10/3*i**3 - v*i**2 - 2*i**4 = 0.
0, 2/3, 1
Suppose -16*h = -18 - 46. Let y(c) be the third derivative of -1/28*c**8 - 6/35*c**7 + 7*c**2 + 0 + 0*c - 1/10*c**5 - 9/40*c**6 + 0*c**h + 0*c**3. Factor y(v).
-3*v**2*(v + 2)*(2*v + 1)**2
What is c in 0*c + 2*c**2 - 1/3*c**3 + 0 - 4/3*c**4 - 1/3*c**5 = 0?
-3, -2, 0, 1
Let h(g) be the second derivative of -g**6/5 - 17*g**5/15 - 19*g**4/18 + 2*g**3/3 + 2*g + 138. Let h(a) = 0. What is a?
-3, -1, 0, 2/9
Let d = 26 - 21. Factor -2*b**2 - d - 1 + 12 - 4 + 2*b - 2*b**3.
-2*(b - 1)*(b + 1)**2
Suppose -2*m + d + 4*d = -7, 3*m - 73 = -5*d. Suppose -m*t + 9*t = -21. Factor 108*c**4 + 0*c + 48*c**t + 0 + 16/3*c**2.
4*c**2*(9*c + 2)**2/3
Let d(j) = -5*j**2 + 6*j - 12. Let w = 49 - 38. Let t(b) = 3*b**2 - 3*b + 6. Suppose 2*o = -2*o + 24. Let i(m) = o*d(m) + w*t(m). Factor i(y).
3*(y - 1)*(y + 2)
Factor -5*h**3 + h**3 + 68 + 5*h**3 + 21*h**2 + 72*h.
(h + 2)**2*(h + 17)
Let a(i) = i**2 - 6*i + 9. Suppose 7*u - 5 = 6*u. Let t be a(u). Factor 0 - 1/2*x**t + 0*x + 0*x**2 - x**3.
-x**3*(x + 2)/2
Let t(x) be the third derivative of -x**8/1176 - 31*x**7/735 - 223*x**6/420 + 41*x**5/30 + 8*x**4/3 - 256*x**3/21 - 618*x**2. Let t(h) = 0. What is h?
-16, -1, 1
Suppose 0*k + 2*k = 2, 0 = 4*p + 2*k - 138. Suppose 0 = 4*i + 3*o - 29, -4*i = i + 3*o - p. Factor -4*d**2 + 0*d**2 - 3*d**3 + 3*d**4 + 5*d**2 - d**i.
-d**2*(d - 1)**3
Let j(g) be the third derivative of -g**6/80 + 7*g**5/40 - 3*g**4/8 - 19*g**2. Solve j(o) = 0.
0, 1, 6
Suppose 5 - 25 = 4*v. Let t(s) = -8*s + 8*s + s**4 - 1. Let q(a) = -8*a**5 - 23*a**4 - 12*a**3 - 2*a**2 + 5. Let h(n) = v*t(n) - q(n). Factor h(w).
2*w**2*(w + 1)**2*(4*w + 1)
Let l(r) be the third derivative of r**8/3360 - r**7/1680 - r**6/360 + 4*r**3/3 + 36*r**2. Let x(q) be the first derivative of l(q). Solve x(y) = 0.
-1, 0, 2
Let m(d) be the third derivative of -d**5/120 - 173*d**4/24 - 29929*d**3/12 - 514*d**2. Suppose m(u) = 0. What is u?
-173
Suppose 2*w - 36 = -40. Let p be (-2 - w)/((-3)/6*2). Let -1/3*x**2 + p - 5/6*x**5 - 2*x**4 - 3/2*x**3 + 0*x = 0. Calculate x.
-1, -2/5, 0
Suppose -2*v + 9 = c, -c = 2*v - 6*v + 15. Let l(h) be the first derivative of 2/5*h - v + 2/15*h**3 + 2/5*h**2. Factor l(m).
2*(m + 1)**2/5
Let z(v) be the first derivative of 3*v**4/8 + 259*v**3/6 + 341*v**2/4 + 85*v/2 + 355. Find f such that z(f) = 0.
-85, -1, -1/3
Let s(a) be the first derivative of -a**6/3060 + a**5/510 - 7*a**3/3 + 2. Let p(j) be the third derivative of s(j). Factor p(h).
-2*h*(h - 2)