 second derivative of f**4/6 + 53*f**3/3 + 690*f**2 + 1755*f + 1. Determine q, given that l(q) = 0.
-30, -23
Let y(h) be the third derivative of h**7/210 - h**6/15 + 7*h**5/60 + h**2 - 1309*h. Factor y(z).
z**2*(z - 7)*(z - 1)
Factor 5*p**4 - 80*p**2 + 7*p**4 - 11*p**4 - 15*p**3 + p**3 - 88*p + p**4.
2*p*(p - 11)*(p + 2)**2
Let i(s) be the second derivative of -s**7/1260 - s**6/72 - s**5/15 - 16*s**4/3 + 4*s + 2. Let d(p) be the third derivative of i(p). Factor d(r).
-2*(r + 1)*(r + 4)
Let p be 3/((2/2)/((-126)/(-54))). Suppose p*b + 224 = 245. Find d, given that -5/2*d**4 + 0*d**b - 5/4*d + 5/4*d**5 + 5/2*d**2 + 0 = 0.
-1, 0, 1
Let t(h) be the second derivative of -h**6/21 - 31*h**5/35 - 4*h**4/7 - 1690*h. Solve t(v) = 0.
-12, -2/5, 0
Let i(t) be the third derivative of 7*t**2 + 0*t - 2/21*t**3 + 1/105*t**5 + 1/42*t**4 + 0 - 1/210*t**6. Let i(p) = 0. What is p?
-1, 1
Let i(n) be the third derivative of n**7/210 - n**6/120 - 4*n**2. Let p(k) = -4*k**4 + 2*k**3 + 8*k**2. Let z(o) = -4*i(o) - 2*p(o). Factor z(l).
4*l**2*(l - 2)*(l + 2)
Solve -300 - 3/4*d**2 - 30*d = 0 for d.
-20
Let w(x) be the third derivative of x**6/1140 - 2*x**5/95 - 49*x**4/228 + 20*x**3/19 + 13*x**2 + 18*x - 1. Let w(m) = 0. What is m?
-4, 1, 15
Let j be 162/14 + -13 + 4. Let v(k) be the first derivative of 2/21*k**3 + j*k - 34 - 6/7*k**2. Let v(t) = 0. What is t?
3
Let k(u) = -10*u. Let g be k(1). Let j(h) be the first derivative of h**4/4 - h**2/2 - 22. Let c(x) = -5*x**3 - 5*x**2. Let b(i) = g*j(i) - c(i). Factor b(q).
-5*q*(q - 2)*(q + 1)
Let r(d) be the second derivative of d**6/20 + 1059*d**5/40 + 3916*d**4 + 7744*d**3 + 4579*d. Factor r(n).
3*n*(n + 1)*(n + 176)**2/2
Let b(s) be the third derivative of -s**8/336 - 9*s**7/35 - 13*s**6/30 + 9*s**5/10 + 53*s**4/24 + 3*s**2 + 158. Suppose b(c) = 0. What is c?
-53, -1, 0, 1
Let h = 39452 + -39450. Solve 52/5*o + 14/5*o**h - 16/5 = 0.
-4, 2/7
Suppose -187/2*c**4 + 7/2*c**5 + 1199/2*c**3 - 180 + 547/2*c**2 - 603*c = 0. Calculate c.
-1, -2/7, 1, 12, 15
Let v be 65/39*90/50. Let z be (-14)/(-8) - (-3)/12. Factor -5*x + x**2 + 2*x - v*x**z + x.
-2*x*(x + 1)
Factor 98*v**2 - 29*v**2 - 3*v**4 - 285 + 102*v**2 - 83*v + 518*v - 315 - 3*v**3.
-3*(v - 8)*(v - 1)*(v + 5)**2
Let c(b) = 809*b - 112. Let i be c(15). Let -20 + 2 - i*d + 3*d**5 + 30*d**3 + 18*d**4 + 11990*d = 0. What is d?
-3, -2, -1, 1
Let z(f) be the first derivative of 27/10*f**2 + 1/5*f**3 + 42/5*f - 23. Find k such that z(k) = 0.
-7, -2
Find a, given that -1/2*a - 2*a**3 + 0 - 2*a**2 = 0.
-1/2, 0
Let c be 105328/319 + (-16)/2. Let m = c - 322. Factor 0*n + 2/11*n**3 + 0 + 2/11*n**4 - m*n**2 - 2/11*n**5.
-2*n**2*(n - 1)**2*(n + 1)/11
Let j(m) be the third derivative of -47/90*m**5 + 13/18*m**4 + 20/3*m**3 - 1 - 1/63*m**7 + 132*m**2 + 1/1008*m**8 - 23/120*m**6 + 0*m. Factor j(d).
(d - 15)*(d - 1)*(d + 2)**3/3
Determine w, given that -224*w - 264*w**2 - 5*w**3 + 145*w**2 - 11*w + 340 + 19*w**2 = 0.
-17, -4, 1
Let r(b) be the second derivative of -11/42*b**3 + 5/21*b**4 + 63*b - 3/140*b**5 + 0 - 3/7*b**2. Factor r(w).
-(w - 6)*(w - 1)*(3*w + 1)/7
Let i be 5*((-6)/(-1) + -5)/(-1). Let g(d) = -2*d**2 + 38*d - 10. Let v(m) = -2*m**2 + 36*m - 8. Let z(k) = i*v(k) + 4*g(k). Factor z(j).
2*j*(j - 14)
Let j = -255841 + 255843. Find p such that 505/6*p**j - 45*p**5 - 345/2*p**3 + 5/3 + 315/2*p**4 - 115/6*p = 0.
1/3, 1/2, 2
Let n(y) be the second derivative of y**4/72 - 7*y**3/12 + 9*y**2/2 - 3241*y. Suppose n(w) = 0. Calculate w.
3, 18
Factor 7/6*o**4 - 3*o + 0 + 43/6*o**2 + 34/3*o**3.
o*(o + 1)*(o + 9)*(7*o - 2)/6
Let h(b) = -13*b**4 - 239*b**3 + 224*b**2 - 4. Let f(w) = 115*w**4 + 2150*w**3 - 2020*w**2 + 35. Let t(l) = -4*f(l) - 35*h(l). Factor t(g).
-5*g**2*(g - 1)*(g + 48)
Suppose -5*q = -18*q + 3029. Suppose 7*w = -219 + q. Factor 10/13*g - 8/13 - 2/13*g**w.
-2*(g - 4)*(g - 1)/13
Let a(o) = o**3 - 9*o**2 - 26*o + 44. Let v be a(11). Let b(d) be the first derivative of v*d + 0*d**2 + 1/3*d**4 + 17 - 1/9*d**3. What is h in b(h) = 0?
0, 1/4
Let t(k) be the first derivative of 5*k**6/24 - 7*k**5/12 - 5*k**4/4 + k**2 - 2*k - 62. Let l(i) be the second derivative of t(i). Find w such that l(w) = 0.
-3/5, 0, 2
Suppose -2*s = 4*n - 18, 662 = -2*n - 5*s + 675. Let r(c) be the third derivative of 1/300*c**5 + 0 - 1/6*c**3 - 10*c**2 + 1/30*c**n + 0*c. Factor r(i).
(i - 1)*(i + 5)/5
Let y(w) = 20*w**2 - 6*w + 5. Let m be y(1). Let i = m - 17. Factor 4 - h**3 - 5*h**3 + 26*h**i - 2*h**3 - 22*h.
-2*(h - 2)*(h - 1)*(4*h - 1)
Let t(j) be the second derivative of -8/35*j**5 - 2 + 16/21*j**3 + 3/2*j**4 + 1/105*j**6 - 64/7*j**2 + 37*j. Factor t(a).
2*(a - 8)**2*(a - 1)*(a + 1)/7
Suppose 0 = 3*z + z - 244. Suppose 4*m + j - z = 0, -23 = -3*m - 3*j + 16. Factor 5*x**4 + 4 - 16*x**2 - x**4 - 24*x + 8*x**3 + 8 + m*x.
4*(x - 1)**2*(x + 1)*(x + 3)
Let r be 1/(-13) - 10611/(-1053). Suppose -2*c - r*c = -36. Factor 2/3*k**4 + 2/3*k**2 + 0*k - 4/3*k**c + 0.
2*k**2*(k - 1)**2/3
Let p = 17308/6293 + 96/899. Factor -6/7*g - p + 2/7*g**2.
2*(g - 5)*(g + 2)/7
Let s(c) be the third derivative of -c**5/210 - 211*c**4/42 - 421*c**3/21 + 2*c**2 - 666*c. Factor s(x).
-2*(x + 1)*(x + 421)/7
Solve 0 - 887/5*h - 1/5*h**2 = 0 for h.
-887, 0
Suppose 6335*i**2 + 90*i**3 + 5*i**4 - 6335*i**2 = 0. What is i?
-18, 0
Let l = -795112 + 795116. Suppose 1/3*i**l + 4/3 + i**3 - i - 5/3*i**2 = 0. What is i?
-4, -1, 1
Factor 19683*r + 1/3*r**3 + 0 - 162*r**2.
r*(r - 243)**2/3
Let l be (-33)/(-14) - (-6)/(-7). Let k(b) be the first derivative of 0*b - 7 - 5/2*b**3 + 1/4*b**6 - l*b**2 + 3/10*b**5 - 9/8*b**4. Factor k(q).
3*q*(q - 2)*(q + 1)**3/2
Let v(d) = -59*d**3 + 246*d**2 + 416*d + 97. Let o(p) = 20*p**3 - 82*p**2 - 138*p - 32. Let n(m) = -14*o(m) - 4*v(m). Factor n(a).
-4*(a - 5)*(a + 1)*(11*a + 3)
Suppose 5 = -w, -v - 2*w - 2*w + 221 = 0. Suppose -245*g + v*g = 0. Solve -2/3*j**2 + 10/3*j + g = 0.
0, 5
Let p = 111016 - 111012. Factor -16/3*f - 2/3*f**p + 2/3*f**2 + 0 + 16/3*f**3.
-2*f*(f - 8)*(f - 1)*(f + 1)/3
Let r(a) be the first derivative of a**5/60 + 61*a**4/12 + 3721*a**3/6 + 3*a**2/2 + 54*a - 244. Let c(f) be the second derivative of r(f). Factor c(n).
(n + 61)**2
Let y(d) = 3*d**2 - 6*d - 4. Let s(z) = -z**3 - 6*z**2 + 7*z + 3. Let u be s(-7). Let w be y(u). Factor l + 12*l**2 - w*l - 24*l + 8.
4*(l - 2)*(3*l - 1)
Let u(m) be the first derivative of -10*m**4/7 - 11*m**3/7 - 9*m**2/14 + 36*m + 49. Let n(y) be the first derivative of u(y). Factor n(g).
-3*(4*g + 1)*(10*g + 3)/7
Let i be ((-35)/(-320)*-42)/((-57)/12 - -4). Let a(r) be the third derivative of -7/16*r**4 + 0*r + 1/80*r**5 + i*r**3 + 0 - 12*r**2. Factor a(y).
3*(y - 7)**2/4
Let y(o) be the second derivative of -o**5/100 + 2*o**4/5 + 26*o**3/15 - 4942*o. Factor y(x).
-x*(x - 26)*(x + 2)/5
Let c(b) be the first derivative of -b**4/8 - 14*b**3/3 - 77*b**2/4 - 25*b + 3973. Let c(g) = 0. Calculate g.
-25, -2, -1
Let q = -3/191696 - -527167/191696. Factor 11/4*i**3 + 9/4 - q*i - 9/4*i**2.
(i - 1)*(i + 1)*(11*i - 9)/4
Let g = -661667 + 661669. Factor -12/5*l + 11/5 + 1/5*l**g.
(l - 11)*(l - 1)/5
Let l(g) be the second derivative of -g**6/90 + g**5/15 + g**4/2 + 2*g**3/3 - 2*g + 10. Let x(s) be the second derivative of l(s). Let x(z) = 0. Calculate z.
-1, 3
Let i(o) = -2*o - 11. Let r be i(-7). Find f, given that 24*f + 14*f**2 - 3*f**3 + r*f**2 + 11*f**2 - 7*f**2 = 0.
-1, 0, 8
Let q(i) be the third derivative of -i**6/480 - 123*i**5/40 + 739*i**4/96 - 112*i**2 + i - 10. Find h, given that q(h) = 0.
-739, 0, 1
Let s = -11714 + 11714. Let d(i) be the first derivative of 6 + 2/3*i**3 + 6*i**2 + s*i. Determine l, given that d(l) = 0.
-6, 0
Let r = -41 + -7. Let m be 20/100 + r/(-10). Determine h so that -5*h**4 - 9*h**3 + 5*h**2 - 7*h**5 - 11*h**3 + 20*h**m + 7*h**5 = 0.
-1, 0, 1/4, 1
Let r(z) = z - 17. Let f be r(17). Let i(x) = -9*x + 5. Let q be i(f). Find n such that 4*n**2 + q*n**3 - 4*n**3 + 3*n**3 = 0.
-1, 0
Let t(f) = -2*f - 8. Let q(d) = d**2 - 3*d - 58. Let h(i) = q(i) + t(i). Factor h(m).
(m - 11)*(m + 6)
Let d(p) be the first derivative of 1/120*p**6 + 0*p**5 - 1/24*p**4 + 0*p**3 + 0*p + 7*p**2 + 2. Let r(c) be the second derivative of d(c). Factor r(s).
s*(s - 1)*(s + 1)
Determine s, given that -5/6*s**4 + 333*s**2 - 310/3*s - 308/3 - 757/6*s**3 