Let n(r) be the third derivative of 0 + 1/15*r**5 + 4*r**3 + 0*r - 7/6*r**4 + 36*r**i. Factor n(t).
4*(t - 6)*(t - 1)
Solve -11*v**4 + 24 + 188*v - 9*v**5 + 56*v**3 + 59*v**3 + 0*v**4 - 35*v + 5*v + 251*v**2 = 0.
-3, -1, -2/9, 4
Let a be (-18)/198 + (-442)/(-143). Let p(h) be the third derivative of 17*h**2 + 0*h**a + 0 + 0*h + 0*h**5 + 1/56*h**4 - 1/280*h**6. Factor p(n).
-3*n*(n - 1)*(n + 1)/7
Let x(m) = m. Let z(f) = -4*f**2 + 14*f - 3. Let a(t) = 2*x(t) + z(t). Let b(p) = 23*p**2 - 97*p + 17. Let i(o) = 34*a(o) + 6*b(o). Factor i(j).
2*j*(j - 19)
Let y = 156415/3 + -52138. Determine g so that g**4 + 0*g - 9*g**2 - y*g**5 + 0 + 3*g**3 = 0.
-3, 0, 3
Let q(i) be the third derivative of -i**5/360 - 143*i**4/36 - 20449*i**3/9 - 2*i**2 + 104*i. Factor q(w).
-(w + 286)**2/6
Let m(h) be the first derivative of h**3/9 + 41*h**2/6 + 38*h + 1432. Let m(b) = 0. What is b?
-38, -3
Let j(h) = 28*h**2 - 5292*h + 5300. Let g(r) = -12*r**2 + 2117*r - 2120. Let s(y) = 12*g(y) + 5*j(y). Find i such that s(i) = 0.
-265, 1
Let p(u) be the first derivative of 0*u**2 + u**4 + 3/20*u**5 - 5/2*u**3 + 6*u - 15. Let i(w) be the first derivative of p(w). Factor i(z).
3*z*(z - 1)*(z + 5)
Factor 4*m**2 + 131*m - 17 - 51*m + 124*m - 191.
4*(m - 1)*(m + 52)
Let p be (-19440)/(-544) + -35 + (-12)/51. What is y in p*y**2 + 3/2*y + 1 = 0?
-2, -1
Let y(d) be the first derivative of 4*d**3/21 + 156*d**2/7 + 900*d/7 - 391. Factor y(j).
4*(j + 3)*(j + 75)/7
Let r(x) = 2*x**2 - 19*x + 197. Let t be r(9). Factor 48 + 94*d**2 + 98*d**2 - t*d**2 + 52*d.
4*(d + 1)*(d + 12)
Let o = -646965/4 + 4528779/28. Factor -o*h**2 + 60/7*h + 144/7.
-6*(h - 12)*(h + 2)/7
Find a such that -85/3*a + 0 - 90*a**3 - 5/3*a**5 - 100/3*a**4 - 260/3*a**2 = 0.
-17, -1, 0
Factor -5 + 41 - a**2 + 2 + 47 + 30*a + 51.
-(a - 34)*(a + 4)
Let k = 293157 - 879469/3. Find r such that -486 - 36*r - k*r**2 = 0.
-27
Let y(c) be the second derivative of 2/5*c**2 + 0 - 1/75*c**6 + 1/50*c**5 + 1/10*c**4 - 1/3*c**3 + 125*c. Find q, given that y(q) = 0.
-2, 1
Let f be (322 - 323) + 22/(-2)*(119/63 + -2). Factor -14/9*v - f*v**2 - 4/3.
-2*(v + 1)*(v + 6)/9
Suppose 73*u = 96*u - 69. Suppose d + 10 = 3*d, -u*h = d - 14. Factor -8/5*a + 4/5*a**h + 0 - 4/5*a**2.
4*a*(a - 2)*(a + 1)/5
Let 50/3*f**4 + 656/3*f**2 - 800 - 2/3*f**5 - 128*f**3 + 2080/3*f = 0. Calculate f.
-2, 1, 6, 10
Factor -357*i**3 + 11*i**2 - 29*i**2 - 88 - 118*i - 14*i**2 + 355*i**3.
-2*(i + 1)*(i + 4)*(i + 11)
Suppose -48*b - 24 = -60*b. Suppose 3*f = -5*w, 4*f - 30 + 1 = 3*w. Factor -5*v - f*v**3 + 4*v**3 + 18 + 4*v**3 - 18*v**b + 2*v.
3*(v - 6)*(v - 1)*(v + 1)
Let j(f) be the third derivative of -8/9*f**3 + 0*f + 0 + 28*f**2 + 0*f**4 + 1/180*f**5. Find p such that j(p) = 0.
-4, 4
Let h be (-3 - -13) + (1 - (-5 - -5)). Suppose 0 = -h*s + 6*s - 3*d + 35, 7 = -2*s + 3*d. Factor 8/15*w + 28/3*w**s - 2/5*w**3 - 8/3*w**2 + 0 + 98/15*w**5.
2*w*(w + 1)**2*(7*w - 2)**2/15
Let f(t) = -t**3 + 12*t**2 - 29*t + 13. Let b be f(7). Find l such that -b + 24*l - 4*l**2 + 29 + 30*l = 0.
1/2, 13
Let p(j) = -j**5 + j**4 + j - 1. Let d be -3*(4 - 3 - 2/6). Let f(x) = 10*x**5 - 54*x**4 + 88*x**3 - 48*x**2 - 2*x + 6. Let y(u) = d*p(u) + f(u). Factor y(l).
4*(l - 2)*(l - 1)**3*(3*l + 1)
Let c be (84408/30)/(20/15). Let v = -2110 + c. Factor 2/5*w + 0 + v*w**2.
w*(w + 2)/5
Let h be (-62)/155*(-439875)/630. Suppose 578/7 - h*u - 236/7*u**2 - u**3 = 0. Calculate u.
-17, 2/7
Let u(z) be the second derivative of 0 + 1/180*z**5 + 59*z + 5/108*z**4 - 1/54*z**3 - 5/18*z**2. What is r in u(r) = 0?
-5, -1, 1
Let c(r) = 72*r**2 - 1923*r + 5301. Let x(z) = -43*z**2 + 1154*z - 3180. Let a(g) = 7*c(g) + 12*x(g). Factor a(h).
-3*(h - 3)*(4*h - 117)
Let y = 21613/7 - 129671/42. Let 0 + y*w**3 - 1/3*w**2 + 1/6*w = 0. Calculate w.
0, 1
Let i(q) be the third derivative of -q**5/60 - 11*q**4/24 + 46*q**3 - 1269*q**2 - 2*q. Factor i(w).
-(w - 12)*(w + 23)
Let i(f) be the third derivative of f**5/100 - 43*f**4/4 + 9245*f**3/2 + 2254*f**2. Factor i(n).
3*(n - 215)**2/5
Let q(w) be the third derivative of -11/300*w**6 - 3/175*w**7 + 11/15*w**4 + 29*w**2 + 8/15*w**3 + 0*w + 0 + 17/75*w**5. Determine p, given that q(p) = 0.
-2, -1, -2/9, 2
Suppose -2395*d + 3436 + 1354 = 0. Suppose -4/5*j - 2*j**d + 0 - 6/5*j**3 = 0. Calculate j.
-1, -2/3, 0
What is g in 9*g**4 - 130*g**3 - 429319*g**2 - 630*g - 4*g**4 + 429874*g**2 = 0?
0, 2, 3, 21
Let g(z) = -5*z**2 + 12*z - 325. Let b(k) = -20*k**2 + 99*k - 1300. Let l(c) = 2*b(c) - 9*g(c). Factor l(t).
5*(t + 5)*(t + 13)
Factor -183*b**2 + 77*b**2 - 405*b - 475 + 86*b**2.
-5*(b + 19)*(4*b + 5)
Let y(n) be the first derivative of -3*n**4/26 - 1082*n**3/39 + 912*n**2/13 + 56*n - 12376. What is z in y(z) = 0?
-182, -1/3, 2
Let q(j) = j**2 + 1 + 464*j - 464*j. Let i = 9 - 8. Let d(z) = 9*z**2 + 9*z + 6. Let g(l) = i*d(l) - 6*q(l). Solve g(h) = 0 for h.
-3, 0
Suppose 0 = 4*q - 3*q + 5, 2*f = 4*q + 42. Suppose 34 = 3*r - f. Suppose r*m**2 + 2*m**4 + 145*m - 12*m**3 - 151*m + m**4 = 0. What is m?
0, 1, 2
Let q be 15048/(-418) - (-40 - -2). Factor -192*a**q - 512/3*a - 2/3*a**4 - 22*a**3 + 0.
-2*a*(a + 1)*(a + 16)**2/3
Let s(j) be the second derivative of j**5/80 - 427*j**4/16 + 17120*j**3 - 51200*j**2 - 6039*j. Factor s(r).
(r - 640)**2*(r - 1)/4
Let a be 10/105 + (512/42)/(-2). Let o be (-5 - 26/a)*3/(-4). Find h such that 1/4*h**2 - o*h + 1/4 = 0.
1
Let r = 2100094/334117 + 10/47731. Factor 1/7*c**2 + 15/7*c + r.
(c + 4)*(c + 11)/7
Let j(z) be the second derivative of 4*z**7/21 + 33*z**6/5 + 324*z**5/5 + 72*z**4 - 1705*z. Factor j(h).
2*h**2*(h + 12)**2*(4*h + 3)
Determine c so that 64380*c**4 + 10*c**3 - 26*c**2 - 64375*c**4 - 289*c**2 = 0.
-9, 0, 7
Suppose -7*h + 36 = t, -4*t + 993 = -3*h + 942. Suppose 0 + 0*i - 40/3*i**2 - 14/3*i**4 - 48*i**h = 0. Calculate i.
-10, -2/7, 0
Let t = -302 - -320. Factor 24*q**5 - 15*q**4 + 24*q - 27*q**5 + 4 + 12*q**2 - 4 - t*q**3.
-3*q*(q - 1)*(q + 2)**3
Solve -148/13*f**2 + 240/13*f + 0 + 10/13*f**3 + 2/13*f**4 = 0 for f.
-12, 0, 2, 5
Let c(o) be the first derivative of -o**5/80 + o**4/6 - 51*o - 40. Let u(v) be the first derivative of c(v). Factor u(g).
-g**2*(g - 8)/4
Let m(t) be the second derivative of 7/15*t**3 - 1/60*t**4 + 0 - 59*t - 13/10*t**2. Factor m(l).
-(l - 13)*(l - 1)/5
Suppose 178 = 5*l - 4942. Let j = l + -1024. Suppose 4/13*n**2 + 0*n**3 + j*n - 2/13*n**4 - 2/13 = 0. Calculate n.
-1, 1
Let m(w) be the second derivative of -w**5/60 + 2*w**4/3 - 15*w**3/2 - 1756*w. Solve m(a) = 0 for a.
0, 9, 15
Let a(w) = -7*w**4 - 12*w**3 - 21*w**2 + 104*w - 3. Let p(r) = -26*r**4 - 48*r**3 - 84*r**2 + 414*r - 11. Let i(c) = -22*a(c) + 6*p(c). Factor i(d).
-2*d*(d - 2)*(d + 7)**2
Let s(x) = x**4 + x**3 - 2*x**2 - 3*x + 7. Let m(h) = -4*h**2 - h + 1. Suppose -16 = -5*d + 3*u + 7, d - 5 = u. Let c(i) = d*s(i) + 4*m(i). Factor c(v).
4*(v - 2)*(v - 1)*(v + 2)**2
Suppose 24 = 105*g - 101*g. Let l be (-4 - g) + 294/24. Factor 15/2*h - 31/4*h**2 - 2 + l*h**3.
(h - 2)*(h - 1)*(9*h - 4)/4
Factor -105*z**3 - 5*z**4 - 80*z**2 - 86*z**2 - 104*z**2.
-5*z**2*(z + 3)*(z + 18)
Let l = 2865 + -2862. Let g(k) be the first derivative of -k - 7/4*k**2 + 2/3*k**l + 16. Factor g(c).
(c - 2)*(4*c + 1)/2
Let k(g) be the first derivative of g**5/20 + 5*g**4/8 + 2*g**3 + 7847. Solve k(h) = 0.
-6, -4, 0
Let f(m) be the second derivative of -m**5/40 - m**4/2 + 5*m**3 + 2*m**2 + 10*m + 4. Let n(l) be the first derivative of f(l). Factor n(c).
-3*(c - 2)*(c + 10)/2
Let s(b) be the first derivative of b**6/2 - 16*b**5/5 - 1307*b**4/12 + 3182*b**3/9 - 1226*b**2/3 + 616*b/3 + 6368. Let s(j) = 0. Calculate j.
-11, 2/3, 1, 14
Let h = -24591 - -24598. What is p in -h*p - 1/5*p**3 + 49/5 - 13/5*p**2 = 0?
-7, 1
Let g be (-93)/279*(-666)/21. Factor -g*w**3 + 6/7*w**4 + 312/7*w**2 - 480/7*w + 128/7.
2*(w - 4)**3*(3*w - 1)/7
Let f(s) = s**2 - 230*s + 8739. Let y be f(182). Factor 27/8 + 15/4*x**2 - 63/8*x - 9/8*x**4 - 3/8*x**5 + 9/4*x**y.
-3*(x - 1)**3*(x + 3)**2/8
Let b(i) be the second derivative of i**5/10 - 257*i**4/6 + 5461*i**3 + 16641*i**2 + 3*i + 1. Find s such that b(s) = 0.
-1, 129
Let o(l) be the first derivative of 157609*l**4/7 - 838464*l**3/7 - 12696*l**2/7 - 64*l/7 - 6636. Factor o(q).
4*(q - 4)*(397*q + 2)**2/7
Let w be (1/2)/(1 + 1). Suppose -4189*r - 250 