 second derivative of 1/3*z**4 - 8*z**2 - 4/3*z**3 + 0 + 1/10*z**5 - 43*z. Let q(s) = 0. What is s?
-2, 2
Let u(s) be the first derivative of 0*s - 51 + 4/21*s**6 + 0*s**2 + 0*s**3 - s**4 - 4/7*s**5. Determine m so that u(m) = 0.
-1, 0, 7/2
Solve 74*u**2 + 16 + 488*u**2 - 272*u + 594*u**2 = 0.
2/17
Suppose 1 + 13 = 2*p. Let s(u) = u**2 - 8*u + 10. Let m be s(p). Factor -k**4 - 5*k - 2*k**2 - m*k**3 - 13*k**2 + 4*k**4 - 4*k.
3*k*(k - 3)*(k + 1)**2
Let m(l) be the second derivative of 14/3*l**3 + 0 + 49*l**2 - 18*l + 1/6*l**4. Suppose m(s) = 0. What is s?
-7
Let f(p) be the second derivative of -2/5*p**2 + 7/100*p**5 + 3/20*p**4 + 0 - 7*p - 2/5*p**3. Factor f(r).
(r - 1)*(r + 2)*(7*r + 2)/5
Let s = 8747 + -17493/2. Suppose 9/2*g**3 + 0 + 11/2*g**4 + 2*g**5 + 1/2*g**2 - s*g = 0. Calculate g.
-1, 0, 1/4
Suppose -2 = 8*n - 12*n - s, 3*n - s + 2 = 0. Factor 0*g**3 + 1/6*g**5 - 1/6*g + 1/3*g**4 - 1/3*g**2 + n.
g*(g - 1)*(g + 1)**3/6
Let v be 1/2 - (-126)/36. Suppose -2*u + d - 3*d = -6, 0 = v*d - 12. Factor 4/9*x**2 + 10/9*x**3 + u + 8/9*x**4 + 0*x + 2/9*x**5.
2*x**2*(x + 1)**2*(x + 2)/9
Factor -34*g + 22 + 25/2*g**2 - 1/2*g**3.
-(g - 22)*(g - 2)*(g - 1)/2
Let x(p) be the second derivative of 0 - 1/210*p**5 - 2/21*p**3 - 1/28*p**4 + 1/2*p**2 + 5*p. Let h(f) be the first derivative of x(f). Factor h(c).
-2*(c + 1)*(c + 2)/7
Factor -4*k**5 - 1244*k**3 - 136*k**4 + 479*k**3 - 10985*k**2 + 5658*k - 45338*k - 51200 - 1143*k**2 - 1063*k**3.
-4*(k + 5)**2*(k + 8)**3
Factor -10*t + 116162 + 2*t**2 + 387*t + 587*t.
2*(t + 241)**2
Let z(g) = -11*g**3 - 9*g**2 + 7*g - 7. Let u = -101 - -95. Let d(m) = 10*m**3 + 8*m**2 - 6*m + 6. Let a(v) = u*z(v) - 7*d(v). Factor a(x).
-2*x**2*(2*x + 1)
Let c = -107 + 109. Let m(l) be the second derivative of 0*l**3 - 1/14*l**7 - 9/5*l**5 + 6*l + 0 + 0*l**c - 2*l**4 - 3/5*l**6. Factor m(t).
-3*t**2*(t + 2)**3
Factor -2*f**4 + 6*f**2 + 28*f + 5*f**2 + 24 - 6*f**2 - 28*f**3 - 25*f**2 - 2*f**4.
-4*(f - 1)*(f + 1)**2*(f + 6)
Let h(l) be the first derivative of -2*l**5/55 + 6*l**4/11 + 26*l**3/33 + 502. Suppose h(v) = 0. Calculate v.
-1, 0, 13
Let h(w) be the first derivative of -3*w**4/4 + 2*w**3 + 6*w**2 - 24*w - 72. Factor h(n).
-3*(n - 2)**2*(n + 2)
Let w(g) = g**2 - g + 3. Let n(b) = -9*b**2 - 14*b - 24. Let x(h) = n(h) + 8*w(h). Find o, given that x(o) = 0.
-22, 0
Suppose -2*i - 3*b = 12, -3*i - 31 = b - 27. Let 1/6*m**5 + 1/2*m**4 - 2/3*m**2 + i*m**3 + 0*m + 0 = 0. Calculate m.
-2, 0, 1
Solve 919*v - 1827*v + 913*v - v**2 - 6 = 0 for v.
2, 3
Let w = -16799/42 - -400. Let b(a) be the second derivative of w*a**7 - 1/6*a**4 + 1/5*a**5 - 5/6*a**3 + 2/15*a**6 - a**2 + 6*a + 0. Factor b(m).
(m - 1)*(m + 1)**3*(m + 2)
Find t, given that 4/7*t**2 + 2/7*t**3 - 16/7*t + 0 = 0.
-4, 0, 2
Suppose -3*f + 2*i + i = -15, 13 = 5*f + i. Let g(v) be the second derivative of -1/4*v**4 + 0 + v + 6*v**2 + 0*v**f. Solve g(u) = 0 for u.
-2, 2
Let z(l) = 2*l**2 + 5*l. Let j(x) = 4*x. Let s(u) = 3*u. Let f(v) = 2*j(v) - 3*s(v). Let k(w) = -10*f(w) - 2*z(w). Suppose k(a) = 0. What is a?
0
Let b(v) = 3*v**2 - 65*v - 20. Let x be b(22). Suppose 0 = -x*k - 2*k. Factor 0*n**3 + k*n**2 + 0*n + 0 + 2/17*n**4.
2*n**4/17
Let h(l) be the third derivative of 0 + 0*l**5 + 0*l**3 - 9*l**2 - 1/96*l**4 + 0*l + 1/480*l**6. Determine p, given that h(p) = 0.
-1, 0, 1
Suppose 0 = -k + 71 + 14. Let r be 3 + (3 - 420/k). Factor r + 12/17*m + 2/17*m**2.
2*(m + 3)**2/17
Determine w, given that -1/6*w**5 - 19/6*w**3 + 250/3 + 11/6*w**4 + 100/3*w - 115/6*w**2 = 0.
-2, 5
Suppose t - 7*t = -24. Suppose -10 = -2*j - t. Factor 12*g**5 - 16*g**4 + 4*g**4 - g**j + 4*g**3.
3*g**3*(2*g - 1)**2
Suppose 53*a = 56*a. Let z(w) be the third derivative of 0 - 14/15*w**5 + a*w - 8/3*w**3 - 3/70*w**7 + 4/15*w**6 - 2*w**2 + 2*w**4 + 1/336*w**8. Factor z(t).
(t - 2)**4*(t - 1)
Suppose 4*g + 113 = 5*j + 7, -5*j + 110 = -5*g. Let o be 3/j*-2*-9. Solve 11*c**3 + 6*c**2 - 2*c**2 + 2*c**4 - 5*c**o = 0 for c.
-2, -1, 0
Suppose -9*l = -2*d - 8*l - 87, 2*l - 84 = 2*d. Let w be 1/(-3) - -3*(-14)/d. Factor -2/5 - a - w*a**2.
-(a + 1)*(3*a + 2)/5
Let a = 19 + -3. Suppose -3*m**3 + 2 - 5 + 24*m - a*m**2 - 21*m**3 - 1 + 20*m**4 = 0. What is m?
-1, 1/5, 1
Find y, given that -4*y**3 - 16/3*y + 2/3 + 26/3*y**2 = 0.
1/6, 1
Suppose 2*c + 552 - 556 = 0. Find o such that -10/3*o**c + 1/3*o**5 + o + 0 + 4*o**3 - 2*o**4 = 0.
0, 1, 3
Factor -16/3*o - 32/3 - 2/3*o**2.
-2*(o + 4)**2/3
Let c(g) = 18256*g**2 - 468*g - 5. Let x(v) = -18255*v**2 + 468*v + 3. Let f(k) = 3*c(k) + 4*x(k). Factor f(t).
-3*(78*t - 1)**2
Let d(c) = -4*c + 1 + 1 + 2*c. Let h(r) = -r**3 - r**2 + 7*r - 7. Let a be ((-126)/(-49))/(-6) - 62/(-14). Let t(f) = a*h(f) + 14*d(f). Factor t(v).
-4*v**2*(v + 1)
Let n(f) be the first derivative of 20/11*f**2 + 6/11*f - 1 + 32/33*f**3 - 32/11*f**4. Solve n(a) = 0.
-1/4, 3/4
Let d(i) be the third derivative of -i**6/120 + 17*i**5/60 - i**2 + 90. Factor d(u).
-u**2*(u - 17)
Let s(o) = o**3 - 13*o**2 + 7*o + 9. Let u(i) = 2*i - 1. Let r(k) = -5*s(k) + 20*u(k). Determine v, given that r(v) = 0.
-1, 1, 13
Solve -24/13*t**2 - 22/13*t**3 + 2/13*t**4 + 232/13*t + 352/13 = 0 for t.
-2, 4, 11
Let c(v) = v + 2. Let i be c(0). Factor 64*s - 2 - 22 - 37 + 13 + 4*s**3 - 28*s**i.
4*(s - 3)*(s - 2)**2
Let c = 510 - 510. Let p(a) be the third derivative of 0*a**5 + c*a**3 + 0 + 1/15*a**6 + 0*a**4 + 3*a**2 - 2/105*a**7 + 0*a. Find s, given that p(s) = 0.
0, 2
Suppose -12 = g - 5*g. Suppose 0 = 2*c - 3*n - n - 74, -2*c + 74 = -g*n. Factor -c*i**2 - 27*i + i**2 - 15*i**3 + 0 - 6.
-3*(i + 1)**2*(5*i + 2)
Let d(c) be the first derivative of c**4/8 + 3*c**3/4 - 3*c**2 - c + 2. Let n(s) be the first derivative of d(s). Determine b so that n(b) = 0.
-4, 1
Let y(l) be the second derivative of l**6/90 + 4*l**5/15 + 8*l**4/3 - l**3/2 + 11*l. Let s(n) be the second derivative of y(n). Factor s(k).
4*(k + 4)**2
Factor -112/3*t + 98*t**2 + 32/9.
2*(21*t - 4)**2/9
Suppose -153 = -3*p + 6*p - 2*u, -2*p - 118 = 4*u. Let g = 56 + p. Factor -1/7 - 1/7*m + 1/7*m**2 + 1/7*m**g.
(m - 1)*(m + 1)**2/7
Let n(v) be the second derivative of -3/4*v**2 - 12*v + 1/8*v**4 + 1/4*v**3 - 3/40*v**5 + 0. Factor n(j).
-3*(j - 1)**2*(j + 1)/2
Let o(w) be the second derivative of -w**9/3780 - w**8/840 + w**7/630 + w**6/90 - 11*w**4/12 + 12*w. Let c(m) be the third derivative of o(m). Factor c(y).
-4*y*(y - 1)*(y + 1)*(y + 2)
Let m = -81 - -244/3. Factor 0 + m*w**4 + 0*w + 1/3*w**5 + 0*w**2 + 0*w**3.
w**4*(w + 1)/3
Let j(a) = 10*a - 18. Let i be j(2). Suppose i*f - 3*f + 3 = 0. Let 0*b + 0 - 1/3*b**2 - 1/3*b**f = 0. Calculate b.
-1, 0
Let k be 78 - (-1)/((-5)/35). Suppose u - k = -67. Factor 2/7*y**u - 8/21*y**2 + 0*y + 0 - 8/21*y**3.
2*y**2*(y - 2)*(3*y + 2)/21
Let k = -11 + 15. Let z = 145/438 - -1/438. Factor -2/3*p**3 + 5/6*p**k + 0 - z*p**5 + 0*p + 1/6*p**2.
-p**2*(p - 1)**2*(2*p - 1)/6
Let h(l) be the first derivative of -5*l**4/16 - 5*l**3/4 + 25*l**2/4 + 30*l - 10. Factor h(n).
-5*(n - 3)*(n + 2)*(n + 4)/4
Let l(j) = 11*j**3 + 9*j**2 - 2*j. Let v(q) = -5*q**3 - 4*q**2 + q. Let b = 13 - 1. Suppose b*g - 15*g = -27. Let x(o) = g*v(o) + 4*l(o). Solve x(r) = 0.
-1, 0, 1
Let t(i) be the third derivative of -5*i**9/448 + i**8/112 - i**7/420 - 3*i**5/20 + i**2. Let q(g) be the third derivative of t(g). Factor q(f).
-3*f*(15*f - 2)**2
Let m(f) be the second derivative of f**4/90 - f**3/5 + 14*f**2/15 - 106*f + 3. Let m(s) = 0. Calculate s.
2, 7
Let y(z) be the third derivative of -z**5/690 - z**4/92 + 6*z**3/23 - z**2 + 20*z. Factor y(k).
-2*(k - 3)*(k + 6)/23
Let v(q) = -2*q**2 + 130*q - 249. Let z be v(63). Factor -4/5 + 6/5*y + 6/5*y**z + 16/5*y**2.
2*(y + 1)*(y + 2)*(3*y - 1)/5
Let q be 15*((-23)/414 + 4/18). Let c(k) be the second derivative of -1/7*k**7 + 0 + 0*k**2 + 6*k - 63/20*k**5 + 23/20*k**6 + 2*k**3 + q*k**4. Factor c(w).
-3*w*(w - 2)**3*(4*w + 1)/2
Let w be ((-6)/(-21) - 4/14) + 20. Suppose 15*u - w*u = 0. What is z in u - 1/3*z**4 + 1/6*z**3 + 0*z + 0*z**2 + 1/6*z**5 = 0?
0, 1
Let z(h) be the second derivative of -h**7/294 + h**6/42 - 3*h**5/70 - h**4/42 + h**3/6 - 3*h**2/14 + 415*h. Factor z(u).
-(u - 3)*(u - 1)**3*(u + 1)/7
Factor 17 - 1858*k - 51 + 1868*k + 5*k**2 - 41.
5*(k - 3)*(k + 5)
Suppose 78 - 78 = 51*q. Suppose -2/3*p**3 + 0 + q*p - 