et s(q) = -17*q**2 - 527*q + 574. Let d(p) = 14*p**2 + 537*p - 576. Let v(y) = 6*d(y) + 5*s(y). Factor v(m).
-(m - 586)*(m - 1)
Let z = 45002514/60767 + -30/8681. Factor 500*j**3 - 61492/7*j**2 - 36000/7*j - 7*j**4 - z.
-(j - 36)**2*(7*j + 2)**2/7
Suppose -d - 10 = -4*b, -2*b - 4 = 3*d + d. Let c(q) = -13*q**2 - 16*q**b + 30*q**2 - 1. Let g(o) = 9*o**2 + 2*o - 11. Let u(m) = 14*c(m) - 2*g(m). Factor u(i).
-4*(i - 1)*(i + 2)
Let t be (5 - 54/10)/(2/(-7795)). Suppose 59 + 1253*q + 5*q**3 - 115*q**2 - t - 453*q = 0. What is q?
3, 10
Suppose -8*p - 40 = -120. Let c be 14/p + (14/5 - 3). Solve 2/15*d**2 + 4/5*d + c = 0.
-3
Let d(b) be the first derivative of 7/5*b**5 - 16*b**2 + 3/4*b**4 - 23/3*b**3 - 12*b + 33 + 1/6*b**6. Suppose d(a) = 0. What is a?
-6, -1, 2
Let t(x) = -4*x**3 + 11732*x**2 - 11477812*x + 3741765400. Let f(j) = -j**2 - j - 2. Let w(r) = 4*f(r) - t(r). Determine p, given that w(p) = 0.
978
Suppose 4*h = -4*m + 9868, 4*h + 5*m - 3436 = 6434. Factor h - 734 + 3*x**2 + 2601 - 228*x.
3*(x - 38)**2
Let 0*w + 8/9*w**3 - 56/9*w**2 + 14/9*w**4 + 0 - 2/9*w**5 = 0. Calculate w.
-2, 0, 2, 7
Let q be (7/42*28)/((-4)/6). Let h be -9 - -4 - (q - (1 + -3)). Suppose h + 9/8*m**3 - 1/8*m**2 - 11/8*m**4 - 1/8*m + 1/2*m**5 = 0. Calculate m.
-1/4, 0, 1
Let t = -13 - -12. Let m be ((-2)/(-6) + (-90)/27)*t. Factor 5*s + 2*s**3 - 4*s - m*s + 6*s**2 - 6.
2*(s - 1)*(s + 1)*(s + 3)
Let q(i) be the third derivative of -i**7/1575 - 2*i**6/25 - 72*i**5/25 - 22*i**2 + 13. Factor q(u).
-2*u**2*(u + 36)**2/15
Let a(b) be the second derivative of -b**5/10 + 95*b**4/6 - 2392*b**3/3 + 6348*b**2 - 821*b. Factor a(r).
-2*(r - 46)**2*(r - 3)
Suppose 3*f - 4*f = -3*q + 157, -4*f = 4*q - 236. Factor 31 - 15*x + 17 - 4*x**3 - q*x + 32*x**2 - 7*x.
-4*(x - 4)*(x - 3)*(x - 1)
Let x(f) = 2*f**2 - 4. Let i = -238 + 240. Let z be x(i). Factor -5/4 - 5/4*m**z + 0*m**3 + 5/2*m**2 + 0*m.
-5*(m - 1)**2*(m + 1)**2/4
Let u(a) be the first derivative of 144/5*a + 62 + 12/5*a**2 + 1/15*a**3. Find l, given that u(l) = 0.
-12
Suppose 164824*o**2 - 181*o**3 + 4*o**4 - 76973 - 338*o**3 + 73689*o + 260871*o + 245073 - 1113*o**3 = 0. Calculate o.
-1, 205
Let h(l) be the first derivative of l**3/21 + 69*l**2/7 + 272*l/7 - 3104. Factor h(j).
(j + 2)*(j + 136)/7
Suppose -16*l - 49 = -24*l - 32*l + 71. Let 4 - 4/3*p - p**2 + 1/3*p**l = 0. Calculate p.
-2, 2, 3
What is u in -18*u**3 + 68*u**2 - 24*u - 6*u**4 - 16*u**3 + 61*u**3 - 13*u**3 - 2*u**5 - 144 - 2*u**4 = 0?
-3, -2, 2
Factor 1820/11*w**3 - 112377856/11 + 2/11*w**4 + 55079936/11*w + 550848/11*w**2.
2*(w - 2)*(w + 304)**3/11
Suppose -260 = -26*w - 26*w. Let y(z) be the second derivative of 0 + 1/9*z**2 - 4/27*z**3 + 1/135*z**6 - 7*z + 1/9*z**4 - 2/45*z**w. Solve y(b) = 0.
1
Let k be (-4)/(-16) + (-7)/(-20). Suppose 3*l - 21 = 0, -81 = -5*a - 3*l - 30. Determine b so that 15 + k*b**2 - a*b = 0.
5
Factor -1/4*j**3 + 28*j**2 - 3021/4*j - 3249/2.
-(j - 57)**2*(j + 2)/4
Factor 718 + 1386443*i + 3*i**2 - 1386791*i + 1594 + 1972.
3*(i - 102)*(i - 14)
Let h(b) be the third derivative of b**5/270 - 89*b**4/36 - 174*b**2. Factor h(w).
2*w*(w - 267)/9
Let m = -1436 + 1439. Let t(b) be the third derivative of 1/2*b**4 + 12*b**2 + 0*b + m*b**3 + 0 + 1/30*b**5. Factor t(f).
2*(f + 3)**2
Let l(x) be the second derivative of -x**4/42 + 26*x**3/21 - 19*x**2 - 339*x. Let l(p) = 0. Calculate p.
7, 19
Let b(p) = -8*p - 373. Let f be b(-47). Solve 16*h**4 + 800*h**3 + h**5 + 304*h**2 + 711*h**3 + 256 + 448*h - 1411*h**f = 0.
-4, -2
Let k be (-16)/(-396)*12/(-2). Let v = k + 49/66. Solve 1/3*l**3 - v*l**2 - 2/3*l + 1/6*l**4 + 2/3 = 0 for l.
-2, 1
Let g(d) = -9*d**3 - 225*d**2 + 5469*d - 42885. Let k(a) = -20*a**3 - 450*a**2 + 10936*a - 85769. Let u(j) = 13*g(j) - 6*k(j). Factor u(w).
3*(w - 29)**2*(w - 17)
Let n = 7 - -16. Factor n*j**2 + 0*j - 12*j + 12*j**2 + 18*j**2 - 51*j**2 - 14.
2*(j - 7)*(j + 1)
Let d(t) be the third derivative of t**5/60 - 6*t**4 - 145*t**3/6 - 5737*t**2. Suppose d(z) = 0. What is z?
-1, 145
Let o(r) be the third derivative of 119*r**2 + 0 + 0*r + 1/20*r**5 - 3*r**4 + 72*r**3. Factor o(h).
3*(h - 12)**2
Let o(r) = -r**3 + 2*r**2 + r - 2. Let f be (1 - 0 - -14)*(-188)/141. Let d(i) = 5*i**3 + 55*i**2 - 40*i - 20. Let a(p) = f*o(p) + d(p). Factor a(x).
5*(x - 1)*(x + 2)*(5*x - 2)
Let k(b) be the second derivative of -b**4/3 + 34*b**3/3 - 104*b**2 - 2*b + 1355. Determine y, given that k(y) = 0.
4, 13
Determine u so that -3*u**4 + 107*u**2 + 64*u**2 + 49*u**5 - 18*u**2 + 108*u - 6*u**4 + 39*u**3 - 52*u**5 = 0.
-3, -1, 0, 4
Let l be (544/(-48) - 1557/(-135))/((-7)/(-110)). What is n in -2/7*n**3 - 24/7 + l*n + 4/7*n**2 = 0?
-3, 1, 4
Let a(o) be the first derivative of 48*o**6/11 - 912*o**5/55 + 505*o**4/22 - 146*o**3/11 + 27*o**2/11 - 2*o/11 + 1692. Factor a(k).
2*(k - 1)**3*(12*k - 1)**2/11
Let d(v) be the second derivative of -59*v + v**3 + 0 - 1/3*v**4 + 1/30*v**5 - 4/3*v**2. Determine z so that d(z) = 0.
1, 4
Let t(z) be the first derivative of -16*z**2 + 27 - 16*z - z**4 - 20/3*z**3. Solve t(l) = 0 for l.
-2, -1
Let t = -396 + 396. Let i(n) be the third derivative of 0*n**3 + 0*n**4 - 1/240*n**8 + t*n - 9*n**2 + 0 + 1/150*n**5 + 8/525*n**7 - 11/600*n**6. Factor i(j).
-j**2*(j - 1)**2*(7*j - 2)/5
Let d = 8 + -3. Let h(c) = -14*c - 4*c**3 + 2*c**2 + 27*c + 0*c**2 - 6*c**2 - 14*c. Let i(w) = 5*w**3 + 4*w**2 + 2*w. Let z(o) = d*i(o) + 6*h(o). Factor z(p).
p*(p - 2)**2
Let s(r) be the second derivative of 8 + 0*r**2 + 707*r**6 + 208/5*r**5 - 525*r**7 + 0*r**3 + 2/3*r**4 + 8*r. Factor s(g).
-2*g**2*(g - 1)*(105*g + 2)**2
Factor -2/5*w**2 + 12/5 + 2/5*w.
-2*(w - 3)*(w + 2)/5
Let t(d) be the third derivative of d**7/14 + 8*d**6/3 + 45*d**5/4 + 95*d**4/12 - 142*d**2 - d. Solve t(k) = 0 for k.
-19, -2, -1/3, 0
Let n(u) be the second derivative of u**5/110 + u**4/33 + u**3/33 + u + 6. Factor n(k).
2*k*(k + 1)**2/11
Let r be (52/2)/((-1400)/(-910)*(-2)/(-30)). Factor -r + 39*m - 3/2*m**2.
-3*(m - 13)**2/2
Let s = -2/4213 + 21073/16852. Let m(h) be the first derivative of -1/6*h**3 - 3*h + s*h**2 - 2. What is z in m(z) = 0?
2, 3
Factor 23*j**2 - 12*j**2 - 450*j + 5*j**2 - 11*j**2 + 445.
5*(j - 89)*(j - 1)
Let o(w) be the first derivative of w**6/2 - 48*w**5/5 + 21*w**4 + 2*w**3 - 87*w**2/2 + 42*w - 286. Factor o(c).
3*(c - 14)*(c - 1)**3*(c + 1)
Let p(b) = b**3 + 42*b**2 + 3*b + 132. Let s be p(-42). Let d(c) be the first derivative of -s*c - 9*c**2 + 7/2*c**3 - 23. Factor d(m).
3*(m - 2)*(7*m + 2)/2
Solve -9715 + 302272*l**2 - 11*l - 302277*l**2 + 491*l = 0 for l.
29, 67
Let q = -728584 + 728588. Factor 8/3 - 2/3*m**q + 6*m**2 + 2/3*m**3 + 22/3*m.
-2*(m - 4)*(m + 1)**3/3
Let n be 132/(-594)*540/(-48). Factor -n*o**3 + 0*o + 0 + 1/4*o**4 + 25/4*o**2.
o**2*(o - 5)**2/4
Let r(f) be the third derivative of -1/14*f**4 + 2/21*f**3 + 1/588*f**8 + 2/105*f**5 + f - 93*f**2 - 2/245*f**7 + 0 + 1/105*f**6. Solve r(p) = 0.
-1, 1
Let a(g) be the second derivative of 3*g + 29 + 0*g**2 + 5/12*g**4 + 0*g**3. Factor a(m).
5*m**2
Determine l, given that 2/3*l**2 + 472 - 478/3*l = 0.
3, 236
Let c be -61 + 1450/25 + (-2 - (-142)/10). Determine r so that 1/5*r**2 + 529/5 + c*r = 0.
-23
Let b(z) be the third derivative of -2*z**7/105 - 37*z**6/30 - 56*z**5/5 - 130*z**4/3 - 256*z**3/3 - 4352*z**2. Factor b(r).
-4*(r + 1)*(r + 2)**2*(r + 32)
Let k(m) be the second derivative of -2*m**6/5 + 47*m**5/5 + 24*m**4 - 136*m**3/3 - 57*m - 3. Suppose k(j) = 0. Calculate j.
-2, 0, 2/3, 17
Let n(h) = 46*h + 186. Let i be n(-4). Factor -28*m**3 + 14*m + 6*m + 16 + i*m**2 + 26*m**3.
-2*(m - 4)*(m + 1)*(m + 2)
Let s be ((-126)/(-1008))/(7*1) + (-19)/(-152). Factor 1/7*o - s*o**3 - 10/7 + 10/7*o**2.
-(o - 10)*(o - 1)*(o + 1)/7
Factor 3 - 243/4*f**2 - 120*f.
-3*(f + 2)*(81*f - 2)/4
Let s be (-5490)/(-10065) + 13/(-44). Factor s*y**3 + 5*y + 2*y**2 + 4.
(y + 2)**2*(y + 4)/4
Let p(x) be the second derivative of x**7/42 - x**6/30 - 13*x**5/20 + 13*x**4/12 + 6*x**3 - 18*x**2 - 53*x. Solve p(s) = 0 for s.
-3, -2, 1, 2, 3
Let j(m) be the second derivative of -m**5/5 + 899*m**4/3 - 1796*m**3/3 + 12313*m. Determine o so that j(o) = 0.
0, 1, 898
Let d(r) = -r**3 + 29*r**2 + 142*r - 325. Let q be d(33). Factor 1/2*k - q*k**2 + 5 - 1/2*k**3.
-(k - 1)*(k + 1)*(k + 10)/2
Let j(z) be the first der