f d**4/24 + 13*d**3/9 + 15*d**2/4 - 12*d - 5096. Solve o(s) = 0 for s.
-24, -3, 1
Let s(j) be the third derivative of j**6/120 + j**5/10 - j**4/24 - 5*j**3 - 1048*j**2. Factor s(v).
(v - 2)*(v + 3)*(v + 5)
Let p(a) be the second derivative of 0*a**6 - 34*a - 1/12*a**3 + 0*a**4 - 1/84*a**7 + 0*a**2 + 1/20*a**5 - 2. Factor p(u).
-u*(u - 1)**2*(u + 1)**2/2
Let w(f) = 3*f**2 - 44*f - 222. Let j be w(-4). Let d(l) be the first derivative of -20 - l**3 + 0*l + 3/2*l**j. Factor d(n).
-3*n*(n - 1)
Let o(x) = 5810*x**2 + 266*x + 3. Let h(d) = -23*d**2 - 20*d**2 - d + 60*d**2 - 18*d**2. Let g(a) = 2*h(a) + o(a). Factor g(t).
3*(44*t + 1)**2
Let p(u) be the first derivative of -u**4/48 + 9*u**3/8 + 7*u**2/2 - 295*u + 95. Let o(k) be the first derivative of p(k). What is i in o(i) = 0?
-1, 28
Suppose -5*m + 23 = 13. Suppose 5*u = 2*h - 107, -m*h - 5*u + 97 = -0*h. Factor -32*z**3 + 2*z**4 - 13*z**2 - 6*z**4 - h*z**2.
-4*z**2*(z + 4)**2
Let o(w) = 5*w**2 - 7*w - 131. Let l be o(-8). Factor 1604*f**3 + l - 805*f**3 - 175*f - 804*f**3 - 65*f**2.
-5*(f - 1)*(f + 7)**2
Let k(v) be the third derivative of v**7/140 - 33*v**6/160 + 63*v**5/80 + 11*v**4 + 39*v**3/2 - 2*v**2 - 177*v. Solve k(m) = 0 for m.
-2, -1/2, 6, 13
Let r(x) = x**5 - 16*x**4 - 41*x**3 - 34*x**2 - 2*x + 2. Let z(y) = y**5 + 5*y**3 + y**2 - y + 1. Let i(w) = 5*r(w) - 10*z(w). Determine v, given that i(v) = 0.
-12, -3, -1, 0
Let z(h) = 48*h**2 + 12*h + 11. Let i be z(-1). Determine v so that -v**4 + 49*v**3 + 5*v**5 - 20*v**3 - i*v**4 + 3*v**4 + 41*v**3 = 0.
0, 2, 7
Let o(p) be the second derivative of 2*p**6/9 + 637*p**5/60 + 279*p**4/2 - 416*p**3/9 - 256*p**2/3 - 1221*p. What is s in o(s) = 0?
-16, -1/4, 2/5
Factor -995*u + 451*u - 51*u**2 + 47*u**2.
-4*u*(u + 136)
Suppose 0 = -334*x - 17*x + 564 + 489. Let r(m) be the first derivative of 9/4*m**x - 23 + 3/4*m + 9/4*m**2. Determine t so that r(t) = 0.
-1/3
Factor -1119364000 - 2/5*l**5 + 19340240*l**2 - 126592*l**3 + 1838/5*l**4 - 1099896800*l.
-2*(l - 230)**4*(l + 1)/5
Let x(n) = 3*n**3 - 43*n**2 - 10*n + 57. Let f(b) = -7*b + 38 - 34*b**2 + 31*b**2 + 2*b**3 - 25*b**2. Let q(y) = 7*f(y) - 5*x(y). Factor q(v).
-(v - 19)*(v - 1)*(v + 1)
Factor -4/7*c**2 - 708/7 + 248/7*c.
-4*(c - 59)*(c - 3)/7
Let n(p) be the third derivative of 3*p**6/10 - 17*p**5/5 - 65*p**4/6 + 338*p**3 - 4894*p**2. Factor n(f).
4*(f + 3)*(3*f - 13)**2
Let f be (-12)/(-5 + 2)*1/2. Factor -12*r**f - 18 + 2 + 96*r - 6*r**2 - 26*r**2.
-4*(r - 2)*(11*r - 2)
Let j(g) be the first derivative of -g**5/10 - g**4/2 - g**3 - g**2 + 44*g - 51. Let y(a) be the first derivative of j(a). Factor y(c).
-2*(c + 1)**3
Let g(s) be the third derivative of -1/1470*s**7 + 2*s + 0 - 1/420*s**6 + 1/420*s**5 + 0*s**3 - 8*s**2 + 1/84*s**4. Determine h, given that g(h) = 0.
-2, -1, 0, 1
Factor -1534*u**3 - 2090*u**5 + 2091*u**5 + 7*u**2 - 767 - 5*u**2 + 765*u**4 + 1533*u.
(u - 1)**3*(u + 1)*(u + 767)
Let c(u) be the first derivative of -20*u - 4/3*u**3 + 19 - 1/3*u**4 - 2*u**2. Let b(j) be the first derivative of c(j). Suppose b(d) = 0. Calculate d.
-1
Determine l, given that -116*l**3 - 161*l + 273*l - 12*l**2 - 28*l**2 + 4*l**5 + 48*l**4 - 8*l**2 = 0.
-14, -1, 0, 1, 2
Let q(k) be the second derivative of -1/15*k**5 - 10 - 5/3*k**2 - 1/9*k**6 + 1/63*k**7 + 1/9*k**3 + k + 5/9*k**4. Determine r, given that q(r) = 0.
-1, 1, 5
Let h = 7754/3 + -2584. Let p(z) be the first derivative of 1/6*z**6 - 11 + 0*z**5 + 0*z + 0*z**2 - h*z**3 - 3/4*z**4. Find g, given that p(g) = 0.
-1, 0, 2
Let u = -15 + 17. Solve 4*c**u - 19*c + 4*c**2 - 5*c**2 + 73*c = 0 for c.
-18, 0
Let g(a) be the first derivative of 3*a**5/20 - 7*a**4/12 + a**3/3 - 75*a - 120. Let i(z) be the first derivative of g(z). Let i(u) = 0. What is u?
0, 1/3, 2
Suppose 1710 = -100*a + 110*a. Let k = -169 + a. Factor k + 5/2*u + 1/2*u**2.
(u + 1)*(u + 4)/2
Let n = 402 + 400. Let b = -124 + n. Factor b + 5*y**4 - 678 + 2*y**5 + 3*y**5.
5*y**4*(y + 1)
Let s(l) = 104*l + 2498. Let p be s(-24). Let h(a) be the first derivative of 0*a**p + 1/20*a**5 + 3/16*a**4 + 10 + 1/6*a**3 + 0*a. Find d such that h(d) = 0.
-2, -1, 0
Let h(j) be the second derivative of 169*j**4/24 - 416*j**3/3 + 1024*j**2 - 2657*j. Determine z, given that h(z) = 0.
64/13
Let v be (0/198)/(6/2). Find y such that v - 1/3*y + 8/3*y**3 + 5/6*y**2 + 3/2*y**4 = 0.
-1, 0, 2/9
Let v(h) be the third derivative of -6*h**2 + 23/420*h**7 - 5/672*h**8 - 4 - 11/30*h**5 - 1/3*h**4 + 0*h + 0*h**3 + 0*h**6. Find t, given that v(t) = 0.
-1, -2/5, 0, 2, 4
Let l(k) = -5*k**3 - 560*k**2 + 580*k + 5. Let x(v) = 2*v**3 + 279*v**2 - 290*v - 3. Let g(o) = -3*l(o) - 5*x(o). Solve g(h) = 0 for h.
-58, 0, 1
Let u(g) be the second derivative of g**7/4200 + g**6/300 + 3*g**5/200 + 15*g**3/2 - 30*g. Let a(b) be the second derivative of u(b). Factor a(f).
f*(f + 3)**2/5
Let i(c) be the first derivative of -1/21*c**3 + 4/7*c**2 + 0*c - 29. Find w such that i(w) = 0.
0, 8
Let a(z) = -454*z + 80360. Let n be a(177). Solve -1/5*i**4 + 0 + 0*i + 0*i**n - 4/5*i**3 = 0.
-4, 0
Let a(y) be the second derivative of 3*y**6/10 + 53*y**5/10 + 25*y**4/4 - 11*y**3/3 - 2139*y. Factor a(t).
t*(t + 1)*(t + 11)*(9*t - 2)
Factor -2/5*n**5 + 36/5*n**4 + 0*n + 0 + 0*n**2 + 38/5*n**3.
-2*n**3*(n - 19)*(n + 1)/5
Let g(d) be the first derivative of 0*d + 0*d**4 + 3/5*d**5 - 7*d**3 + 9*d**2 - 34. Suppose g(f) = 0. What is f?
-3, 0, 1, 2
Let q(y) = y**4 + 2*y**3 + y**2 + y - 1. Let g(r) = 2*r - 18*r**3 + r - 131*r**4 - 3*r**2 + 5 + 124*r**4. Let o(k) = -g(k) - 5*q(k). Let o(a) = 0. Calculate a.
-4, -1, 0, 1
Let r(m) be the second derivative of 128/15*m**3 + 0 + 1/10*m**4 - 43/5*m**2 - 95*m. Solve r(n) = 0.
-43, 1/3
Let o(m) be the first derivative of m**7/1260 - m**6/108 - 4*m**3/3 + m + 21. Let b(s) be the third derivative of o(s). Factor b(x).
2*x**2*(x - 5)/3
Factor -1068/11 - 190/11*l - 2/11*l**2.
-2*(l + 6)*(l + 89)/11
Let z = -6529/4 - -1633. Let q(u) be the first derivative of z*u**4 + 0*u - 16 + 0*u**2 - u**3. Factor q(j).
3*j**2*(j - 1)
Suppose 5*x + 2*s - 29 = 43, -x = -s - 20. Factor -24 + x*h**2 - 20*h + 25*h**2 + 4*h**3 + 18*h**2 - 51*h**2.
4*(h - 2)*(h + 1)*(h + 3)
Suppose -318 = -3*p - 2*g, p + g - 9 - 98 = 0. Let b be 41/(-328) - (-77)/p. Solve -2/13*v**4 - 12/13*v**2 - b*v**3 - 2/13 - 8/13*v = 0.
-1
Let i be (-16*(2 + -3) - (134 - 127)) + -7. Factor 1/2*z**i + 3/4*z - 1/4*z**3 + 0.
-z*(z - 3)*(z + 1)/4
Suppose 0 = -10*t + 143 - 143. Let i(z) be the first derivative of 2/3*z**3 + t*z - 4 + 2*z**2. Suppose i(n) = 0. What is n?
-2, 0
Let r be 297407/(-3990) - (-1 + (-3)/(-7)). Let k = -369/5 - r. Factor k*v**4 + 1/2*v**3 + 1/2*v**2 + 1/6*v + 0.
v*(v + 1)**3/6
Let f(n) be the first derivative of -n**4/36 + n**3/9 - n**2/6 - 81*n + 13. Let m(h) be the first derivative of f(h). Let m(z) = 0. Calculate z.
1
Let f be (8 - (-8 + 16))*3/24. Let a(b) be the second derivative of -1/3*b**4 - 2*b**2 - 4/3*b**3 + f + 15*b. Factor a(u).
-4*(u + 1)**2
Let h = 142 - 118. Suppose v - 19*m - 23 = -h*m, 4*v - 28 = -4*m. Solve 34/11*z**v + 2/11*z**5 + 0 + 34/11*z**2 + 14/11*z**4 + 12/11*z = 0 for z.
-3, -2, -1, 0
Let v(f) = -166*f**2 + 217*f**2 + 190*f + 14*f**3 + 145*f**2. Let l(o) = 9*o**3 + 131*o**2 + 127*o. Let z(c) = -8*l(c) + 5*v(c). Factor z(i).
-2*i*(i + 1)*(i + 33)
Let m(o) be the third derivative of 7/72*o**4 - 1/360*o**5 + 80 + o**2 + 5/12*o**3 + 0*o. What is y in m(y) = 0?
-1, 15
Suppose 2*f - 16 - 20 = 0. Let q(k) be the first derivative of 8 - f*k**2 - 25*k**4 - 1 + 22*k**3 + 18*k**3. Factor q(s).
-4*s*(5*s - 3)**2
Let q(c) be the second derivative of -1/24*c**4 + 3/2*c**2 + 5 + 5/12*c**3 - 4*c. Factor q(n).
-(n - 6)*(n + 1)/2
Let s(l) = -2*l**3 - 2*l**2 + 2*l. Let k be s(-2). Suppose 33*m**k - 3*m**4 + m**4 + 64*m**2 + 100*m**3 - 3*m**4 - 48*m = 0. Calculate m.
-2, 0, 3/7
Let m(u) be the first derivative of -1/9*u**4 + 1/60*u**5 - 8*u + 1/6*u**3 + 4 + 0*u**2. Let c(g) be the first derivative of m(g). Factor c(y).
y*(y - 3)*(y - 1)/3
Suppose 13*j = 329 - 82. Determine h, given that -j*h**3 - 18*h**3 + h + 2 - 2*h**2 + 35*h**3 + h = 0.
-1, 1
Let f(d) be the third derivative of d**8/4032 + 11*d**7/20160 - d**6/720 - 34*d**5/15 - d**2 + d. Let o(b) be the third derivative of f(b). Factor o(g).
(4*g - 1)*(5*g + 4)/4
Let a be 3 + 4 + -