35*n + s + 5*n**3.
5*(n - 1)**2*(n + 2)
Solve 8 + 1310/3*t**2 - 50*t**3 + 1072/9*t = 0 for t.
-2/15, 9
Let a(f) be the second derivative of f**4/54 - 4*f**2/9 - 397*f. Factor a(i).
2*(i - 2)*(i + 2)/9
Let c(q) be the third derivative of -q**8/784 - 43*q**7/245 - 1761*q**6/280 + 946*q**5/35 - 242*q**4/7 - 2*q**2 + 337*q. Factor c(t).
-3*t*(t - 1)**2*(t + 44)**2/7
Find v such that 34/5*v - 8/5*v**2 - 2/5*v**3 + 24 = 0.
-5, -3, 4
Factor 238/3*f**2 - 478/3*f + 718/9 + 2/9*f**3.
2*(f - 1)**2*(f + 359)/9
Let x(p) = -5*p**2 - p - 2. Let t(h) = -h**2 - h. Let i = -2 - -1. Let w be 64/(-144)*-6*15/10. Let d(q) = i*x(q) + w*t(q). Determine n so that d(n) = 0.
1, 2
Let j = -492704/45 + 10949. Let k(l) be the third derivative of 0*l + 0*l**3 + j*l**5 + 1/144*l**6 + 1/36*l**4 + 5*l**2 + 1/1260*l**7 + 0. Factor k(g).
g*(g + 1)*(g + 2)**2/6
Let x(r) be the second derivative of -r**5/70 - 13*r**4/42 + 205*r**3/21 - 575*r**2/7 - 638*r. Factor x(m).
-2*(m - 5)**2*(m + 23)/7
Let l(d) be the first derivative of 9*d - 2/15*d**3 + 1/10*d**4 + 0*d**2 + 7 - 1/75*d**6 + 0*d**5. Let x(i) be the first derivative of l(i). Factor x(b).
-2*b*(b - 1)**2*(b + 2)/5
Factor -4*w**3 + 19*w**3 - 17613 - 11782 + 519*w**2 + 22185*w - 12*w**3 + 6688.
3*(w - 1)*(w + 87)**2
Suppose -7*b = -14*b - 18*b. Let k(y) be the second derivative of -88*y**3 + b - 4/5*y**5 - 72*y**2 + 47/3*y**4 - 7*y. Factor k(u).
-4*(u - 6)**2*(4*u + 1)
Let p(v) = 75*v**2 - 1195*v + 240. Let n = 421 + -411. Let m(r) = -25*r**2 + 399*r - 80. Let h(s) = n*m(s) + 3*p(s). Factor h(b).
-5*(b - 16)*(5*b - 1)
Let g(k) be the third derivative of k**7/420 + 7*k**6/80 - 91*k**5/30 - 8*k**4 + 185*k**2 + 11*k. Solve g(r) = 0.
-32, -1, 0, 12
Suppose 12051 = 5*w + 3*m, 3*w = 45*m - 48*m + 7227. Let x = -2409 + w. Suppose 5/6*v**5 + 0*v**2 + 0 + 0*v - 5/6*v**4 + 0*v**x = 0. What is v?
0, 1
Let u(j) be the third derivative of -5/6*j**3 + 0*j + 24*j**2 + 1/8*j**4 + 0 - 7/240*j**5 - 1/240*j**6. Let y(q) be the first derivative of u(q). Factor y(b).
-(b + 3)*(3*b - 2)/2
Let j be ((-372)/(-836) + (-20)/110)/(90/36). Determine f, given that j*f**3 + 14/19*f**2 - 16/19*f + 0 = 0.
-8, 0, 1
Let p(r) = -89*r**2 + 5183*r + 6702901. Let h(c) = -71*c**2 + 5182*c + 6702905. Let o(t) = -5*h(t) + 4*p(t). Factor o(n).
-(n + 2589)**2
Let q(m) be the second derivative of 0 + 28/3*m**3 + 172/5*m**5 - 352/15*m**6 + 128/21*m**7 - 2*m**2 - 73/3*m**4 - 161*m. Factor q(r).
4*(r - 1)**2*(4*r - 1)**3
Find l such that 459*l + 15702*l**2 - 21*l**3 - 13272*l**2 + 237*l = 0.
-2/7, 0, 116
Let l = -199 + 227. Solve -9231*r**2 + l*r + 9227*r**2 - 38 + 14 = 0.
1, 6
Let o(i) be the first derivative of -3*i**5/10 - 39*i**4/8 + 135*i**3/2 + 8019*i**2/4 + 15309*i - 2151. Determine h so that o(h) = 0.
-9, 14
Let u = 3349/2500 - 56/625. Let i(g) be the first derivative of u*g**4 + 0*g**3 + 34 - 5/2*g**2 + 0*g. What is q in i(q) = 0?
-1, 0, 1
Let a be (-26)/39*-2*(3 + 0). Let p = 143/87 - 9/29. Let -2*g**2 - 10/3*g + 2/3*g**3 + 2/3*g**a - p = 0. Calculate g.
-1, 2
Find u, given that -5/4*u**4 - 795/4*u + 55/4*u**3 - 585 + 205/4*u**2 = 0.
-3, 4, 13
Let z(i) = i**3 + 3*i**2 + i + 3. Let d be z(-3). Let b = -114 + 116. Factor -2*k**2 + d*k**b - k + 3*k**2 - k.
k*(k - 2)
Factor 3*u + 11*u + 1398*u**2 - 1326*u**2 + 2*u - 84*u**3 + 22*u**4.
2*u*(u - 2)**2*(11*u + 2)
Let i = 229040 - 916159/4. Suppose i*r + 0 + 3/4*r**2 = 0. Calculate r.
-1/3, 0
Let t(r) be the third derivative of 0*r - 38*r**2 + 0 + 10*r**3 - 1/12*r**5 + 5/24*r**4. Factor t(h).
-5*(h - 4)*(h + 3)
Let l(i) be the first derivative of 2*i**3 + 0*i + 5/24*i**4 - 1/12*i**5 + 0*i**2 + 1/72*i**6 - 9. Let x(c) be the third derivative of l(c). Factor x(h).
5*(h - 1)**2
Let w(f) be the second derivative of -f**7/147 + 191*f**6/105 + 167*f**5/10 + 2549*f**4/42 + 2360*f**3/21 + 788*f**2/7 - 2021*f. Suppose w(b) = 0. What is b?
-2, -1, 197
Let x = 1589 + -1684. Let s be x/1330 + (240/(-63))/(-2). Find d, given that 1/6*d**4 + d**3 + s*d**2 + 0 + d = 0.
-3, -2, -1, 0
Let j(g) = 3*g**4 + 4*g**3 + 14*g**2 + 8*g. Let y(a) = -a**3 + a**2 + a. Let o = 92 + -93. Let h(m) = o*j(m) + 5*y(m). Factor h(n).
-3*n*(n + 1)**3
Let u be 336844/290 + 1048/58 + (-12600)/700. Let -264/5*f + 3/5*f**2 + u = 0. What is f?
44
Suppose 6*r - 15 = r. Let z be 1/5*(24 - 14). Determine h so that -8 + r*h**z + 9 + 9*h + 5 = 0.
-2, -1
Let j(y) be the second derivative of y**8/504 + y**7/70 + y**6/36 + y**5/60 + y**2 - 67*y. Let p(f) be the first derivative of j(f). Let p(d) = 0. What is d?
-3, -1, -1/2, 0
Solve 3999/7*c + 726/7 + 33/7*c**2 = 0 for c.
-121, -2/11
Let m(b) be the second derivative of 49*b**5/60 - 182*b**4/9 - 440*b**3/9 - 128*b**2/3 - 494*b + 3. Factor m(t).
(t - 16)*(7*t + 4)**2/3
Factor 30*j - 815*j**3 + 275*j**3 + 268*j**3 + 267*j**3 - 1335*j + 1890 + 240*j**2.
-5*(j - 42)*(j - 3)**2
Let z = 692386/11 + -62944. Find m, given that z*m**2 - 4/11 + 2/11*m = 0.
-2, 1
Let 10/7*y**4 + 146/7*y**2 - 228/7*y + 384/7*y**3 + 0 = 0. What is y?
-38, -1, 0, 3/5
Let t(f) be the second derivative of -f**7/126 - 2*f**6/45 + f**5/60 + 4*f**4/9 + 2*f**3/3 - 645*f - 4. Let t(d) = 0. Calculate d.
-3, -2, -1, 0, 2
Let c(l) = -56 - 11*l**2 - 134 + 42 + 142*l + 12*l**2. Let n(s) = 3*s**2 + 354*s - 369. Let g(i) = -12*c(i) + 5*n(i). Solve g(o) = 0.
-23, 1
Let i(n) be the second derivative of -n**6/15 + n**5/2 + 20*n**4/3 - 20*n**3/3 - 144*n**2 + 795*n - 3. Find g, given that i(g) = 0.
-4, -2, 2, 9
Let c = -23466/7 - -3366. Let x be 7 + -7 + -4 - (5 - (-435)/(-35)). Let 72/7*z**3 + x*z**4 + 3/7*z**5 + 48/7*z + c*z**2 + 0 = 0. What is z?
-2, 0
Let t(u) be the second derivative of u**4/4 - 621*u**3 + 1156923*u**2/2 - u - 47. Factor t(l).
3*(l - 621)**2
Let q(f) = -f**2 + 21*f - 98. Let x be q(12). Let k be 441*(x/45 + 3/(-135)). Factor -1029/5 - 3/5*a**3 - 63/5*a**2 - k*a.
-3*(a + 7)**3/5
Suppose 0 = 14*h - 671 - 1793. Determine i, given that 11*i**3 + 96*i + 11*i**5 + 9*i**5 + h*i**2 - 12*i**4 - 179*i**3 = 0.
-3, -2/5, 0, 2
Factor 8/17*o**5 + 0*o + 62/17*o**4 + 0*o**2 + 0 - 16/17*o**3.
2*o**3*(o + 8)*(4*o - 1)/17
Let h(s) be the third derivative of 0*s - 1/12*s**5 - s**2 + 52 - 5/6*s**4 + 10*s**3. Find y, given that h(y) = 0.
-6, 2
Let n(v) be the second derivative of 2*v - 1/2*v**5 - 10*v**2 + 1/2*v**4 + 13/3*v**3 - 1/15*v**6 - 15. Find w such that n(w) = 0.
-5, -2, 1
Let t(g) = -8*g**3 - 49*g**2 - 3*g + 6. Let v(d) be the first derivative of 9*d**4/4 + 47*d**3/3 + 2*d**2 - 8*d + 166. Let j(c) = 4*t(c) + 3*v(c). Factor j(k).
-5*k**2*(k + 11)
Factor -3690*f**2 - 3664*f**2 + 79*f + 7313*f**2 - 39 + f**3.
(f - 39)*(f - 1)**2
Factor -208 + 2*h**4 + 590*h**2 - 386*h**2 - 417*h**2 - 6*h**4 - 135*h**2 - 484*h - 76*h**3.
-4*(h + 1)**2*(h + 4)*(h + 13)
Let i(k) = -133*k**2 + 85*k + 6. Let m(z) = 132*z**2 - 86*z - 4. Let u(j) = -3*j**3 - 4*j - 3. Let l be u(-1). Let t(h) = l*m(h) + 3*i(h). Factor t(r).
(3*r - 2)*(43*r - 1)
Let 2/11*f**2 + 844*f + 979462 = 0. Calculate f.
-2321
Suppose -5*u = -4*i - i - 2005, 1629 = 4*u + i. Let k = 619 - u. Factor -30*m + 5*m**2 + 213 - k.
5*m*(m - 6)
Let p(b) be the second derivative of 0*b**3 + b + 0*b**2 + 25 + 5/42*b**4 - 1/70*b**5. Factor p(x).
-2*x**2*(x - 5)/7
Let q be ((-6)/3 + 2)/2. Let a = -7084 - -7088. Factor 0*u + q + 0*u**3 + 3/2*u**2 - 3/2*u**a.
-3*u**2*(u - 1)*(u + 1)/2
Let n(d) be the first derivative of 9/2*d**4 + 1/2*d**6 - 4*d**3 + 3/2*d**2 + 0*d - 12/5*d**5 - 83. Suppose n(m) = 0. Calculate m.
0, 1
Let y(q) be the second derivative of -5*q**7/63 - 11*q**6/18 - 2*q**5/3 + 95*q**4/36 + 25*q**3/9 - 20*q**2/3 - 7512*q. Find a such that y(a) = 0.
-4, -2, -1, 1/2, 1
Solve 1/2*b + 15/4 - 1/4*b**2 = 0 for b.
-3, 5
Let a = -445 - -447. Suppose a*c = -4*d - 20, 0 = -3*c + 3*d - 8*d - 25. Factor c - 39/7*k**4 + 24/7*k + 90/7*k**3 + 6/7*k**5 - 12*k**2.
3*k*(k - 2)**3*(2*k - 1)/7
Let b(x) be the first derivative of x**5 + 305*x**4/4 + 5350*x**3/3 + 10640*x**2 + 23520*x + 3922. Factor b(q).
5*(q + 2)*(q + 3)*(q + 28)**2
Let x(o) = 7*o**2 + 367*o - 718. Let r(y) = 15*y**2 + 738*y - 1437. Let s(q) = -4*r(q) + 9*x(q). Suppose s(f) = 0. What is f?
-119, 2
Let c = 181 - 179. Factor 1131*l - 1130*l - 2*l**c + l**2 + 6.
-(l - 3)*(l + 2)
Let s(z) = -z**2 - z + 1. Suppose 0 = 5*i - 13 + 8. Let w(m) = -3*m**2 + 3*m + 13. Let k = 12