ivative of -3/2*b**3 - 3/16*b**4 + 0*b - 114 - 3*b**2. Find c such that m(c) = 0.
-4, -2, 0
Let i(v) = -31*v**2 + 496*v - 1153. Let m be i(3). Factor m*b + 24 + 28/3*b**3 + 122/3*b**2 + 2/3*b**4.
2*(b + 1)**2*(b + 6)**2/3
Let q(o) = -o**2 + 2*o**2 - 6 + 261*o - 268*o. Let m be q(9). Factor -m*a**2 - 9*a + 2*a - 4*a**3 - 4*a + 3*a.
-4*a*(a + 1)*(a + 2)
Let h = -4/2333 + 11701/20997. Let k(f) be the first derivative of 14 + h*f**3 + 13/12*f**4 - 19/2*f**2 + 6*f - 1/5*f**5. Find z, given that k(z) = 0.
-2, 1/3, 3
Let t = -338 + 373. Let g(f) = 17*f**3 + 8*f**2 - 93*f + 28. Let x(i) = 290*i**3 + 135*i**2 - 1580*i + 475. Let d(a) = t*g(a) - 2*x(a). Factor d(m).
5*(m - 2)*(m + 3)*(3*m - 1)
Let y(a) be the third derivative of 1/15*a**5 + 0*a**3 - 119*a**2 + 1/6*a**4 + 0 + 0*a. Determine q so that y(q) = 0.
-1, 0
Let l(o) be the third derivative of -3/40*o**6 + 31/120*o**5 + 0 + 1/4*o**4 - 1/3*o**3 + 65*o - o**2. Factor l(t).
-(t - 2)*(2*t + 1)*(9*t - 2)/2
Let w be (-2)/27 - (-2)/(-81)*-3. Let k(a) be the third derivative of -1/3*a**5 + 5/6*a**4 + 0 + 1/24*a**6 + w*a + 0*a**3 - 7*a**2. Solve k(q) = 0 for q.
0, 2
Let u(o) be the second derivative of o**6/20 - 9*o**5/10 - 27*o**4/8 + 243*o**3/2 + 3806*o. Factor u(d).
3*d*(d - 9)**2*(d + 6)/2
Let v be (-24)/(-14) - (-10)/35. Suppose -5 = -k + v. Let 16*s**2 - 6 - 3*s + 66*s**3 - 3*s**4 - 63*s**3 - k*s**2 = 0. What is s?
-1, 1, 2
Let 72*d**4 + 8859*d**2 - 75*d**4 - 8860*d**2 + 3*d**3 + d**5 = 0. What is d?
0, 1
Let f(c) be the second derivative of 1/10*c**5 - 1/30*c**6 - 11*c + 2 - 1/3*c**3 + 1/2*c**2 + 0*c**4. Determine b so that f(b) = 0.
-1, 1
Let j(k) be the first derivative of 112/11*k**2 + 89 - 72/11*k - 62/11*k**3 + 9/22*k**4. Factor j(q).
2*(q - 9)*(3*q - 2)**2/11
Suppose 4*f - 249 + 279 = 14*f. Suppose -56/5*u**2 - 2*u**f + 94/5*u - 28/5 = 0. What is u?
-7, 2/5, 1
Let w(g) be the third derivative of -g**6/840 + g**5/84 + 29*g**4/168 - 5*g**3/2 - 91*g**2 + 1. Determine r, given that w(r) = 0.
-5, 3, 7
Let b = -90 + 93. Let i(l) = -13*l + 41. Let k be i(b). Find c, given that 1/3*c**k + 1/3 - 2/3*c = 0.
1
Let d(i) be the second derivative of i**6/36 + 145*i**5/48 + 15*i**4/4 + 65*i**3/6 + 2*i + 26. Let k(w) be the second derivative of d(w). Factor k(a).
5*(a + 36)*(4*a + 1)/2
Let t = -4073 + 4105. Let q(b) be the first derivative of 4/7*b**2 + t + 2/21*b**3 - 10/7*b. Solve q(r) = 0.
-5, 1
What is u in -4951*u**4 + 1444*u**5 - 72928*u**2 - 200 + 16351*u**4 + 54219*u**3 + 7620*u - 48211*u**3 = 0?
-5, 1/19, 2
Let f(g) be the second derivative of g**7/420 - 11*g**6/240 - g**5/10 - 63*g**2/2 + 2*g + 4. Let a(r) be the first derivative of f(r). Factor a(p).
p**2*(p - 12)*(p + 1)/2
Factor 2/11*r**3 + 0 - 42/11*r**2 + 40/11*r.
2*r*(r - 20)*(r - 1)/11
Let i be (28 - 17) + -10 - 5*(-1)/1. Let m(g) be the third derivative of -11/45*g**5 - 5/18*g**4 - 2/45*g**i + 4/9*g**3 - 5*g**2 + 0*g + 0. Factor m(h).
-4*(h + 1)*(h + 2)*(4*h - 1)/3
Let a = -256 - -391. Let u be (-4)/(-18) + 807/a + -6. Solve -3/5*x - u*x**2 - 2/5 = 0 for x.
-2, -1
Let x(p) = p**2 - 1. Let w be (-9 - -3)/(-24) - (-9)/(-12)*-1. Let a(v) = -6*v**2 + 3*v + 3. Let k = 3 + 0. Let y(h) = k*x(h) + w*a(h). Factor y(t).
-3*t*(t - 1)
Let r(c) be the second derivative of -c**5/30 - 22*c**4/9 - 155*c**3/9 + 200*c**2/3 - 7052*c. Factor r(p).
-2*(p - 1)*(p + 5)*(p + 40)/3
Let r = 187/9 - 329/18. Let a(f) be the first derivative of r*f**2 - 5/4*f**4 - f**5 + 0*f - 5 + 5/3*f**3. Factor a(u).
-5*u*(u - 1)*(u + 1)**2
Let i(z) be the third derivative of -39*z**2 + 1/900*z**6 - 1/12*z**4 + 23/6*z**3 + 0*z + 1/75*z**5 + 0. Let n(l) be the first derivative of i(l). Factor n(c).
2*(c - 1)*(c + 5)/5
Let c be -1 - (-3)/4 - (-205)/36. Let i(z) be the first derivative of 70/9*z**3 + 8/9*z - 4*z**2 + 1 - c*z**4. Find u such that i(u) = 0.
2/7, 1/2
Let t(r) be the first derivative of -2*r**4/3 - 10*r**3/9 + 2*r**2 - 2997. Determine h so that t(h) = 0.
-2, 0, 3/4
Factor -827 - 58*b + b**2 + 411 + 233.
(b - 61)*(b + 3)
Let b(w) be the first derivative of -2*w**6/27 - 28*w**5/15 + 2*w**4/3 + 472*w**3/27 - 110*w**2/3 + 28*w - 115. Determine h, given that b(h) = 0.
-21, -3, 1
Let y be (-10)/(-5)*(-24423)/42. Let h = y - -1166. Determine d so that 0 + 0*d**2 + 0*d - 1/2*d**h = 0.
0
Let a = -57929/30 - -1931. Let u(z) be the first derivative of -a*z**3 - 11 + 1/20*z**2 + 0*z. Factor u(b).
-b*(b - 1)/10
Factor 186/19 - 2/19*h**2 - 184/19*h.
-2*(h - 1)*(h + 93)/19
Let b be ((-666)/(-14))/(-1) + (-6)/14. Let q be 1 - (38/b - 3/(-24)). Determine t so that 0 + 5*t - q*t**2 = 0.
0, 3
Find d such that 172*d**2 - 4*d**3 + 1357 - 2706 + 1349 + 552*d = 0.
-3, 0, 46
Factor 1980*a**4 + 3/2*a**5 + 36431493120*a + 1045440*a**3 + 275996160*a**2 + 1923582836736.
3*(a + 264)**5/2
Let h = 3/1951 + 3839/40971. Let p(m) be the first derivative of 2/7*m - 2 - 2/7*m**2 + h*m**3. What is x in p(x) = 0?
1
Let q = 48920 - 48916. Let -2/3*c**3 + q + 10/3*c - 4/3*c**2 = 0. Calculate c.
-3, -1, 2
Let c(w) = -4*w**4 + 1080*w**3 - 3218*w**2 + 3216*w - 1072. Let k(a) = -a**4 + 4*a**2 - 1. Let r(z) = c(z) - k(z). Factor r(y).
-3*(y - 357)*(y - 1)**3
Let k be -10*((-2)/4 - (-7)/(-7)). Suppose -22 = -3*r - 13. Determine t so that 22*t**2 + t + 7*t - 8*t**3 - k*t**r + 0*t**4 - 7*t**4 = 0.
-4, -2/7, 0, 1
Let f(h) be the first derivative of 4/13*h**2 - 24/13*h - 1/26*h**4 + 35 + 2/13*h**3. Find t, given that f(t) = 0.
-2, 2, 3
Let t = -70 + 72. Factor -11*g**2 + 9*g**t + 235 - 267 + 16*g.
-2*(g - 4)**2
Suppose -15395*w + 690 = -15326*w. Factor -3*g**3 - 8 - 1/3*g**4 - 44/3*g - w*g**2.
-(g + 2)**3*(g + 3)/3
Let b be ((-48)/144)/((-55)/54 + 1). Let t be ((70/(-10))/(-21))/(14/b). Solve -12/7*a - 12/7 + t*a**3 + 3/7*a**2 = 0.
-2, -1, 2
Let o(w) be the first derivative of w**6/6 + 89*w**5/5 - 375*w**4/4 - 269*w**3/3 + 469*w**2 + 744*w - 6301. What is l in o(l) = 0?
-93, -1, 2, 4
Let d be 0 + 4/42 + (-40)/(-21). Factor 16 + 8 - 12*w**3 - 7*w - 24 - w + d*w**4 + 18*w**2.
2*w*(w - 4)*(w - 1)**2
Let c(d) = -2*d**4 + d**3 + d**2 + d. Let r(z) = z**5 + 29*z**4 + 41*z**3 + 37*z**2 - 7*z. Let h(q) = 14*c(q) + 2*r(q). Find x such that h(x) = 0.
-11, -2, 0
Let d be (-8)/(-2) + (34 - 35). Determine x so that -6*x**d + 240*x**5 + 0*x**2 - 6*x**4 - 242*x**5 - 2*x**2 = 0.
-1, 0
Let h(g) be the first derivative of 1/3*g**3 + 179 + 1156*g + 34*g**2. Factor h(c).
(c + 34)**2
Let c = 43142/3 + -14380. Suppose -15 = -7*t + 2*t. What is n in c*n**2 + 4/3*n**t + 0 + 0*n = 0?
-1/2, 0
Suppose -2*c = -2, 64*a - 68*a + 3*c + 17 = 0. Let x(g) be the third derivative of -g**2 - 1/360*g**6 + 0*g + 0*g**3 + 1/72*g**4 + 0 + 0*g**a. Factor x(i).
-i*(i - 1)*(i + 1)/3
Let j(n) be the second derivative of 7/2*n**3 + 0 - 5/4*n**4 - 3/5*n**5 + 3*n**2 + 110*n. Factor j(t).
-3*(t - 1)*(t + 2)*(4*t + 1)
Let u(d) = -d**3 + 10*d**2 - 15*d + 71. Let s be u(7). Let v = 116 - s. Factor -9/7*n**4 + 24/7*n**v - 3*n**2 + 6/7*n + 0.
-3*n*(n - 1)**2*(3*n - 2)/7
Let r(j) = 9*j**4 + 1959*j**3 + 1937*j**2 - 1943*j - 1930. Let x(g) = g**4 + 6*g**3 + 3*g**2 - 2*g. Let m(i) = r(i) - 4*x(i). Let m(b) = 0. Calculate b.
-386, -1, 1
Find l such that -40478615352 + 94147212*l + 128380728956 + 31223*l**3 - 31219*l**3 + 33612*l**2 = 0.
-2801
Suppose -15*k = -7*k - 64. Factor 72 + 80*w + k*w**2 + 2*w**3 + 46*w**2 - 28*w**2.
2*(w + 2)**2*(w + 9)
Suppose 1/6*b**5 + 0*b + 0*b**2 + 5/3*b**3 + 0 - 11/6*b**4 = 0. Calculate b.
0, 1, 10
Let j(n) be the second derivative of -76*n + 5/16*n**2 + 0 + 3/16*n**3 + 1/32*n**4 - 1/160*n**5. What is l in j(l) = 0?
-1, 5
Let b be (-6)/8*24/(-9). Suppose 5*d - 4*h - 62 = 0, 3*d + d - h - 43 = 0. Factor 22 + 18 - 38 + d*m**b + 12*m.
2*(m + 1)*(5*m + 1)
Let j(g) be the first derivative of -g**6/2 - 78*g**5/5 - 69*g**4 - 88*g**3 + 396. Factor j(v).
-3*v**2*(v + 2)**2*(v + 22)
Let b(z) = 41*z**2 - 7705*z + 1670. Let q(i) = i**2 + 10. Let w(j) = b(j) + 4*q(j). Factor w(d).
5*(d - 171)*(9*d - 2)
Let c be -5*(-414)/60 - 27. Factor -9/2*h**3 + 3/2*h**5 - c*h**2 - 3*h + 3/2*h**4 + 0.
3*h*(h - 2)*(h + 1)**3/2
Determine c, given that 114/13*c + 36/13 + 24/13*c**3 + 106/13*c**2 = 0.
-3, -3/4, -2/3
Let r = 2/295307 - -56403499/20376183. Let t = r + -33/23. Factor 1/3*g**2 - 4/3*g + t.
(g - 2)**2/3
Let w = -81925 - -81928. Let -14/9*o**w - 6*o**2 + 14/9*o**