 Factor p(d).
3*(d - 15)**3
Let r(x) be the first derivative of -90 + 0*x + x**2 + 0*x**4 - 1/15*x**5 + 7/9*x**3. What is p in r(p) = 0?
-2, -1, 0, 3
Let b(u) be the first derivative of 2*u**3/63 - 20*u**2/3 + 1088*u/21 - 924. Determine k so that b(k) = 0.
4, 136
Let h(s) = -2*s**2 - 6. Let a(c) = 55*c**2 - 5440*c - 1479500. Let k(n) = -a(n) - 30*h(n). Determine q, given that k(q) = 0.
-544
Let -1/7*b**2 - 83/7 - 12*b = 0. Calculate b.
-83, -1
Determine c so that 604*c + 4*c**2 - 4*c + 132*c - 1360 - 60*c = 0.
-170, 2
Let h = -938 + 941. Let i(r) be the first derivative of 6*r**3 - 2 + 1/2*r - h*r**2. What is v in i(v) = 0?
1/6
Factor 0*f - 8/17*f**2 + 0*f**3 + 2/17*f**4 + 0.
2*f**2*(f - 2)*(f + 2)/17
Suppose -45*d + 99 = -82 + 91. Let l(n) be the second derivative of 6*n + 0*n**3 + 0 + 0*n**d + 5/12*n**4. What is y in l(y) = 0?
0
Let j(f) = f**3 - 4*f**2 - f + 476. Let l be j(0). Let x = 476 - l. Find s such that x + 4/9*s + 2/9*s**4 + 0*s**3 - 2/3*s**2 = 0.
-2, 0, 1
Suppose -242*t**3 + 2*t**4 - 1864*t + 780*t**2 - 14165 + 15093 + 396*t**2 = 0. Calculate t.
1, 2, 116
Let r be 8/20 - (-28)/5. Let h = -36 + 39. Factor -o**2 + h - r*o**3 + 10*o - 3*o**2 + 5.
-2*(o + 1)**2*(3*o - 4)
Let v(r) = 2*r**3 + 44*r**2 - 48*r - 36. Let w be v(-23). Let p be 125/2 + 1 + w. Suppose 21*u + 3/2*u**2 + p = 0. Calculate u.
-7
Factor 5*a**3 + 636*a**2 - 1809*a**2 - 1495 + 2995*a - 332*a**2.
5*(a - 299)*(a - 1)**2
Let p(a) be the second derivative of -a**7/840 + a**6/120 - a**5/60 - a**3/6 - 6*a**2 - 50*a. Let j(r) be the second derivative of p(r). Factor j(c).
-c*(c - 2)*(c - 1)
Let n = -2008482 - -2008484. Factor -28*a - 686 - 2/7*a**n.
-2*(a + 49)**2/7
Let t(f) = 1447*f - 7229. Let w be t(5). Let a(i) be the second derivative of 0*i**2 + 51/100*i**5 + 26*i + 0 - 6/5*i**3 + 1/10*i**w + 2/5*i**4. Factor a(x).
3*x*(x + 2)**2*(5*x - 3)/5
Factor 80*s**2 - 56*s + 40*s**2 + 46*s + 89*s - 342 + 140*s + 3*s**3.
3*(s - 1)*(s + 3)*(s + 38)
Let x = 8402 - 109224/13. Solve -18/13 - x*d**4 + 48/13*d + 16/13*d**3 - 44/13*d**2 = 0 for d.
1, 3
Suppose -2/9*o**3 + 22/3*o + 52/9*o**2 - 36 = 0. Calculate o.
-3, 2, 27
Suppose 3*j + 46 = 5*f, 8*f = -2*j + 7*f - 9. Let b be (8/j - -1) + 38/70. Suppose 13/5*g**2 + 23/5*g**4 + 27/5*g**3 + b*g + 0 + 7/5*g**5 = 0. What is g?
-1, -2/7, 0
Let m be 200/(1/3 - (-6)/9). Factor t**3 - 9*t**2 + 31*t**2 + 0*t**3 + 183*t + m - 43*t.
(t + 2)*(t + 10)**2
Let u(c) be the second derivative of -54*c + c**4 + 1/20*c**5 + 0*c**2 + 0 + 11/6*c**3. What is t in u(t) = 0?
-11, -1, 0
Let w(t) be the first derivative of t**5/35 - 23*t**4/28 - t**3/21 + 23*t**2/14 + 402. Factor w(h).
h*(h - 23)*(h - 1)*(h + 1)/7
Let t(s) be the first derivative of s**4/16 - 145*s**3/12 - s**2/2 + 145*s - 7572. Find j such that t(j) = 0.
-2, 2, 145
Let z(c) = -c**2 - 9*c + 4. Let i be z(-7). Suppose 34 + i = 13*g. Find y such that -4*y**4 - y**3 + 2*y**g - 6*y - 8 + y**3 + 6*y**3 + 10*y**2 = 0.
-1, 1, 4
Suppose 2596 = 38*l + 2444. Suppose 4/11*f**l + 0*f + 5/11*f**2 - 21/11*f**3 + 0 = 0. What is f?
0, 1/4, 5
Suppose 1018*v + 4*a + 84 = 1023*v, 3*v + 4*a - 108 = 0. Let i(y) be the first derivative of 0*y + 0*y**3 - y**2 - v + 3/8*y**4 + 1/10*y**5. Factor i(j).
j*(j - 1)*(j + 2)**2/2
Let h = 1743661 - 322575521/185. Let f = h - -69/37. Factor -156/5*l - 134/5*l**2 - 12/5*l**4 - 1/5*l**5 - 72/5 - f*l**3.
-(l + 2)**3*(l + 3)**2/5
Determine h so that 60/7*h + 51/7*h**2 - 9/7*h**3 + 0 = 0.
-1, 0, 20/3
Let a(x) = -97*x**3 - 22*x**2 + 19*x + 46. Let l(s) = 307*s**3 + 66*s**2 - 56*s - 138. Let q(y) = 19*a(y) + 6*l(y). Factor q(b).
-(b - 2)*(b + 1)*(b + 23)
Let u be 10/(-80)*(-720)/270. Suppose 1 + u*h**2 - 4/3*h = 0. What is h?
1, 3
Let q be (2/(-4))/(1262/316 + -4). Suppose 4*v + q = 87. Factor -15*w**4 + 2*w**2 - 4*w + 9*w**3 + 4*w**v + 4*w.
-3*w**2*(w - 1)*(5*w + 2)
Factor 8576 + 43/4*h**3 - 1/4*h**4 + 354*h**2 + 3088*h.
-(h - 67)*(h + 8)**3/4
Let z(h) = h**3 + 34*h**2 - 13*h - 43. Let q be z(-34). Suppose 12 = -396*k + q*k. Let 75/4 - 9*r**3 + 3/4*r**k + 69/2*r**2 - 45*r = 0. Calculate r.
1, 5
Let k(s) be the second derivative of -2*s - 5/12*s**4 - 55/3*s**3 - 3 + 0*s**2. Factor k(b).
-5*b*(b + 22)
Determine x so that -97/3*x - 22 + 1/3*x**3 - 10*x**2 = 0.
-2, -1, 33
Let x(l) be the third derivative of -1/35*l**7 - 9/40*l**6 - 11/8*l**4 - 3/2*l**3 - 2 - 3/4*l**5 + 4*l**2 + 0*l. Factor x(u).
-3*(u + 1)**3*(2*u + 3)
Let v(a) = -a**3 + 503*a**2 - 468*a - 980. Let r(g) = 15*g**3 - 7040*g**2 + 6555*g + 13720. Let j(f) = 4*r(f) + 55*v(f). Factor j(y).
5*(y - 98)*(y - 2)*(y + 1)
Suppose 0 = -38*m + 47*m + 585. Let x be (-2)/(3 + m/10). Factor x*r**3 + 0*r + 8/7*r**2 + 0.
4*r**2*(r + 2)/7
Let i(b) be the third derivative of -b**5/20 + 277*b**4/4 - 76729*b**3/2 + 32*b**2 - 6*b - 3. Factor i(z).
-3*(z - 277)**2
Let z = 378 + -376. Let w(p) = -48*p - 525. Let m be w(-11). Suppose -1/7*b - 8/7*b**z + 2/7 - 5/7*b**m = 0. What is b?
-1, 2/5
Solve 228/7*d**2 + 3904/7 - 2/7*d**3 + 1920/7*d = 0 for d.
-4, 122
Let d(p) be the second derivative of p**6/50 + 27*p**5/100 + 11*p**4/10 - 48*p**2/5 + 935*p. Determine i so that d(i) = 0.
-4, -2, 1
Let b be 12/15*10*(-1)/(-8). Let w be (-3900)/400*(-2)/6*b. Factor -w*v + 1/4 + 3*v**2.
(v - 1)*(12*v - 1)/4
Let f(w) be the third derivative of 0*w + 1/90*w**5 - 1/420*w**7 + 0*w**4 + 0 - 1/90*w**6 + 0*w**3 + 1/224*w**8 - 78*w**2. Find j such that f(j) = 0.
-1, 0, 2/3
Factor -12468*y + 420 + y**2 + 13520*y - 2*y**2 - 5*y**2 + 11*y**2.
(y + 210)*(5*y + 2)
Let z(q) be the first derivative of -2*q**5/5 + q**4 - 2*q**2 + 2*q - 121. Suppose z(d) = 0. Calculate d.
-1, 1
Let z be (48/56)/((-15)/18830). Let t = -8605/8 - z. Suppose 11/4*b**2 + 13/8*b + 9/4*b**3 + 1/8*b**5 + t + 7/8*b**4 = 0. Calculate b.
-3, -1
Let k(y) be the third derivative of y**6/24 + 4*y**5/3 + 35*y**4/2 + 120*y**3 - 23*y**2 - 71. What is l in k(l) = 0?
-6, -4
Factor 4795*t - 4598405/2 - 5/2*t**2.
-5*(t - 959)**2/2
Let v(z) be the second derivative of z**7/2520 - z**6/36 + 5*z**5/6 + 115*z**4/12 + 5*z + 3. Let m(f) be the third derivative of v(f). Factor m(d).
(d - 10)**2
Suppose -196 + 86 = k. Let j be ((-20)/55)/(260/k). Find i such that -j*i + 12/13*i**4 + 0 + 22/13*i**3 + 8/13*i**2 = 0.
-1, 0, 1/6
Determine i, given that 301088/7 - 1552/7*i + 2/7*i**2 = 0.
388
Let r(f) be the third derivative of 7*f**6/720 + f**5/6 - f**4/4 - 16*f**3/3 - 60*f**2. Let l(g) be the first derivative of r(g). Suppose l(u) = 0. Calculate u.
-6, 2/7
Let b(q) be the first derivative of 3*q**4/4 - 30*q**3 - 93*q**2/2 - 249. Factor b(m).
3*m*(m - 31)*(m + 1)
Let p(x) be the third derivative of x**5/120 + 116*x**4 + 645888*x**3 + 2*x**2 - 6*x + 8. Factor p(r).
(r + 2784)**2/2
Let a(p) = 3*p**3 - 4876*p**2 - 11*p + 4890. Let k(g) = -14*g**3 + 24373*g**2 + 58*g - 24450. Let y(n) = 11*a(n) + 2*k(n). Factor y(j).
5*(j - 978)*(j - 1)*(j + 1)
Let n(g) = g**4 - g**3 + g**2 + g. Let f(q) = 6*q + 2*q**3 + 2*q**2 + 4*q - 4*q**4 + 2*q**5 - 13*q + 5*q. Let s(c) = f(c) - 2*n(c). Solve s(b) = 0.
0, 1, 2
Let k(j) = -2*j**3 + 2*j - 704. Let z be k(0). Let n be ((-3)/15)/(4/(z/8)). Find d, given that 2/5*d**5 + n*d**4 + 36*d**2 + 54/5 + 92/5*d**3 + 162/5*d = 0.
-3, -1
Solve 21/5*u**4 + 258/5*u**3 - 672/5 - 3/5*u**5 - 24*u + 516/5*u**2 = 0.
-4, -2, 1, 14
Find m such that 646*m**2 + 4*m**3 - 6*m**2 + 40*m**2 + 1344*m = 0.
-168, -2, 0
Suppose -11*x = 178 + 86. Let i be (x/28)/(-3 + 156/56). Find k such that -3*k**2 + 14*k**i + 0*k + 0 + 13/2*k**3 = 0.
-3/4, 0, 2/7
Let x(u) be the second derivative of 9*u - 3/40*u**5 - 1/84*u**7 + 0*u**2 + 0*u**3 + 1/20*u**6 + 1/24*u**4 + 2. Solve x(c) = 0 for c.
0, 1
Let z(l) be the first derivative of l**6/6 - 19*l**5/4 + 85*l**4/4 - 245*l**3/6 + 40*l**2 - 32*l - 72. Let h(w) be the first derivative of z(w). Factor h(b).
5*(b - 16)*(b - 1)**3
Suppose 9/4*s**2 + 13/4*s + 1 = 0. What is s?
-1, -4/9
Let m(i) be the third derivative of 3*i**8/224 + 29*i**7/420 + 11*i**6/80 + i**5/8 + i**4/24 + 446*i**2 + i. Find f, given that m(f) = 0.
-1, -2/9, 0
Factor -12/5 - 27/5*q - 18/5*q**2 - 3/5*q**3.
-3*(q + 1)**2*(q + 4)/5
Let o(s) be the third derivative of -s**7/105 - 17*s**6/20 + 24*s**5 - 189*s**4 - 1748*s**2 + 6*s. Factor o(r).
-2*r*(r - 6)**2*(r + 63)
Let l(d) be the second derivative of -d + 4/13*d**2 + 4