t y(t) be the third derivative of -41/3*t**4 + 2*t**2 - 1/15*t**5 + 0 - 3362/3*t**3 + 6*t. Factor y(s).
-4*(s + 41)**2
Factor -2/7*i**2 + 4560/7*i - 2599200/7.
-2*(i - 1140)**2/7
Let u be (((-120)/64)/((10 - 25)/(-5)))/(20/(-8)). Factor -1/4*v**5 - u*v**2 - 3/4*v**4 + 0 + 0*v - 3/4*v**3.
-v**2*(v + 1)**3/4
Let o(r) = -6*r**2 + 1119*r - 15324. Let s(q) = -q**2 + 160*q - 2189. Suppose 143 = -19*x + 105. Let m(p) = x*o(p) + 15*s(p). Factor m(i).
-3*(i - 27)**2
Let q(a) be the first derivative of -7*a**5/15 - a**4/4 + 7*a**3/9 + a**2/2 + 6369. Factor q(n).
-n*(n - 1)*(n + 1)*(7*n + 3)/3
Let z(u) be the second derivative of -u**6/30 - 16*u**5/15 - 61*u**4/27 - 40*u**3/27 - 599*u - 2. Factor z(j).
-j*(j + 20)*(3*j + 2)**2/9
What is s in 0*s**2 + 0*s - 1/7*s**4 + 1/7*s**5 - 2/7*s**3 + 0 = 0?
-1, 0, 2
Let k(s) be the second derivative of -s**4/12 - s**3/6 + 45*s**2/2 - 46*s. Let d be k(6). Factor 0*c**2 + 0 + 2/9*c**4 + 2/9*c**d + 0*c.
2*c**3*(c + 1)/9
Let v be (8 + (-913)/110)*(3/9 + -2). Let n(z) be the second derivative of -7*z - 3/10*z**5 - 1/3*z**3 - v*z**4 + 0 - 1/15*z**6 + 0*z**2. Factor n(w).
-2*w*(w + 1)**3
Let y(v) be the third derivative of v**8/3024 + v**7/630 + v**6/1080 - v**5/180 - v**4/108 - 399*v**2. Factor y(j).
j*(j - 1)*(j + 1)**2*(j + 2)/9
Let p(s) = -87*s + 14616. Let i be p(168). Let n(k) be the second derivative of 0*k**2 + 31*k - 1/36*k**4 + i + 1/9*k**3. Determine c, given that n(c) = 0.
0, 2
Suppose 4*v - 5*u = 375, -5*v + 2*u = -2*u - 480. Suppose v - 236 - 6*o + 116 + 2*o**2 = 0. Calculate o.
-2, 5
Let h be ((-8)/6)/((-12)/(-9) - 2). Suppose -h*t + 38 + 42 = 0. Factor -234 + 100*v + 234 + 4*v**3 + t*v**2.
4*v*(v + 5)**2
Let w(c) be the third derivative of 0*c + 31/8*c**4 - 1/40*c**5 - 147*c**2 + 0 - 961/4*c**3. Solve w(g) = 0.
31
Let w = -5143 - -406305/79. Let a = 111/316 - w. Factor -a*y + 1/4*y**2 + 0.
y*(y - 1)/4
Let n = 14969 + -14969. Let -13/4*i**3 - 1/4*i**5 + n*i - 2*i**4 - 3/2*i**2 + 0 = 0. What is i?
-6, -1, 0
Factor -448 + 404 + 279 + 400 - r**3 + 1269*r + 633*r**2.
-(r - 635)*(r + 1)**2
Let i(l) be the second derivative of 5/36*l**4 - 140*l - 2/3*l**2 + 0 + 4/9*l**3. Factor i(q).
(q + 2)*(5*q - 2)/3
Factor -603/5*u - 120 - 3/5*u**2.
-3*(u + 1)*(u + 200)/5
Let v be ((-1211)/14 - -73)*(-8)/5. Find i such that -72*i - 3/5*i**5 + 9*i**4 + 87*i**2 + v - 45*i**3 = 0.
1, 6
Let t be (1 - -6) + 60/(-20). Factor -t*u**4 - 4510 + u**5 + 6*u**2 + 4510 - 6*u**4 + u**3 + 6*u**4.
u**2*(u - 3)*(u - 2)*(u + 1)
Let b(y) be the second derivative of -274*y + 1/16*y**4 + 0 + 1/80*y**5 - y**3 + 7/2*y**2. Factor b(p).
(p - 2)**2*(p + 7)/4
Let g = 1736461 - 1736449. Factor 8/5*o**2 + 242/5*o + g.
2*(o + 30)*(4*o + 1)/5
Let h be -10 - -16 - (143/(-11) - -17). Suppose -27/2 - 3/4*c**h - 33/4*c = 0. What is c?
-9, -2
Suppose -5*b - q + 9 = 0, 15*b + 7 = 17*b - 3*q. Solve -3*w**b - 17*w**2 - 96 + 2*w**3 + 12 + 42*w - 148*w = 0 for w.
-3, -1, 14
Let f(m) = 11*m**2 - 2697*m + 1811661. Let c(d) = 2*d**2 - d - 11. Let k(g) = -5*c(g) + f(g). Suppose k(s) = 0. Calculate s.
1346
Let g(t) = 10*t**2 - 1260*t - 3150. Let w(c) = -c**2 - 60*c + 2. Let h(y) = -g(y) - 5*w(y). Factor h(p).
-5*(p - 314)*(p + 2)
Suppose -447*w = -452*w + 15. Find h such that -3/5*h**2 - 3/5*h**5 + 0 - 6/5*h + 3/5*h**4 + 9/5*h**w = 0.
-1, 0, 1, 2
Let f(i) = -10935*i**3 - 5679*i**2 + 1020*i - 55. Let l(y) = -3*y**2 - 5. Let z(m) = f(m) - 3*l(m). Suppose z(h) = 0. Calculate h.
-2/3, 2/27
Let c be (-21)/35 + 36/10. Suppose -8*w**2 - w - 48*w**3 + 46*w**c - 5*w = 0. What is w?
-3, -1, 0
Solve 37/5*o**2 - 1/5*o**5 - 164/5*o + 0 + 33*o**3 - 37/5*o**4 = 0.
-41, -1, 0, 1, 4
Let u be -1*15/150 - 111/(-60). Let s(l) be the second derivative of -3/10*l**6 + 0*l**2 - u*l**4 + 8*l + 6/5*l**5 + 0 + l**3. Suppose s(c) = 0. Calculate c.
0, 2/3, 1
Let a = 3/989 + 929/19780. Let u(g) be the first derivative of 1/12*g**3 + 1/24*g**6 - 1/16*g**4 - a*g**5 + 0*g**2 + 0*g - 6. Factor u(x).
x**2*(x - 1)**2*(x + 1)/4
Let k be (35 - (-4500)/(-126)) + (-76)/(-28). Factor -1 - 5/4*o - 1/4*o**k.
-(o + 1)*(o + 4)/4
Let k(x) be the third derivative of -x**7/630 - 137*x**6/360 - 69*x**5/2 - 22747*x**4/18 + 48668*x**3/9 + 2739*x**2. Find m such that k(m) = 0.
-46, 1
Let b(y) be the second derivative of -3*y**5/10 - 14*y**4/3 - 7*y**3/3 + 18*y**2 + 4632*y + 2. Factor b(i).
-2*(i + 1)*(i + 9)*(3*i - 2)
Suppose 18 = 4*c + 2*c. Let n = c - 0. Suppose 24*f**2 + 50*f**2 - 6 - 45*f**n - 15*f - 8*f**2 = 0. What is f?
-1/5, 2/3, 1
Let v(c) be the third derivative of 0 + 29*c**2 + 9/8*c**4 - 1/4*c**5 + 1/120*c**6 - 13/6*c**3 - 2*c. Factor v(k).
(k - 13)*(k - 1)**2
Let m = -3880/7 - -555. Let h(o) be the second derivative of -2/7*o**3 + 0 - 17*o + 1/42*o**4 + m*o**2. Factor h(l).
2*(l - 5)*(l - 1)/7
Let m(s) be the first derivative of -s**6/4 - 21*s**5/10 - 27*s**4/8 + 19*s**3/2 + 33*s**2/2 - 36*s - 16. Suppose m(q) = 0. Calculate q.
-4, -3, -2, 1
Let u(d) be the second derivative of -9*d - 4*d**2 + 8/3*d**3 + 19/6*d**4 + 7/10*d**5 - 9. Factor u(p).
2*(p + 1)*(p + 2)*(7*p - 2)
Let u be (1/(-5))/(10*26/(-520))*5. Factor 3/4*t**u - 24*t + 192.
3*(t - 16)**2/4
Factor 88/13*l + 0 + 14/13*l**2 - 2/13*l**3.
-2*l*(l - 11)*(l + 4)/13
Determine b, given that -27136 - 93*b**4 + 90*b**4 + 1164*b**3 + 1167*b**2 + 27136 = 0.
-1, 0, 389
Find p such that -23/4*p**4 - 1/8*p**5 - 2725/2*p - 2645/4*p**2 - 763/8*p**3 + 2125 = 0.
-17, -10, 1
Let h(v) = -v**5 - 2*v**4 - v**3 + v**2 + 1. Let f(c) = 6*c**5 - 16*c**4 + 2*c**3 - 2*c**2 - 2. Let i(n) = f(n) + 2*h(n). Factor i(y).
4*y**4*(y - 5)
Factor -7/4*b**4 + 0*b + 0 + 5/2*b**3 - 3/4*b**2.
-b**2*(b - 1)*(7*b - 3)/4
Let q(d) be the second derivative of 3*d**5/80 + 61*d**4/16 - 235*d**3/4 + 153*d**2 - 918*d. Determine s, given that q(s) = 0.
-68, 1, 6
Let o = -225 + 243. Find i, given that o*i**2 + 34*i - 19 - 4*i - 31 + 142*i**3 - 140*i**3 = 0.
-5, 1
Let n(j) be the third derivative of -j**5/240 + 7*j**4/48 - 11*j**3/8 - 7*j**2 + 1. Factor n(s).
-(s - 11)*(s - 3)/4
Let y(z) be the second derivative of -z**6/45 - 33*z**5/10 + 214*z**4/3 - 5264*z**3/9 + 2368*z**2 - 691*z - 1. Factor y(j).
-2*(j - 4)**3*(j + 111)/3
Factor 0*h + 86/5*h**2 + 88/5*h**3 + 2/5*h**4 + 0.
2*h**2*(h + 1)*(h + 43)/5
Suppose 0*t = 3*t - 138. Suppose t*k = 56*k. Factor -1/4*g**3 + 1/2*g**2 + 3/4*g + k.
-g*(g - 3)*(g + 1)/4
Solve -745*p**2 - 8055*p**3 + 2681*p**3 + 2687*p**3 + 750*p + 2682*p**3 = 0.
-150, 0, 1
Let j be (30929/15366 - 1/6) + 6/39. Let n(o) be the first derivative of -2*o**3 - 2*o - 5 + 3*o**j + 1/2*o**4. Factor n(z).
2*(z - 1)**3
Let r be (54/96)/((-8073)/(-11052)). Let j = r + -6/299. Factor -j*a + 1/4*a**2 + 1/2.
(a - 2)*(a - 1)/4
Let t(z) be the second derivative of 0*z**3 + 23*z - 4/9*z**4 + 2/135*z**6 + 0*z**2 + 0 - 47/90*z**5. Factor t(o).
2*o**2*(o - 24)*(2*o + 1)/9
Let r(s) be the second derivative of 32*s**2 - 80/3*s**3 + 0 - 83*s + 25/3*s**4. Suppose r(v) = 0. What is v?
4/5
Suppose -7*d - 2 = -23. Suppose -4*w = -5*a - 8 + d, -30 = -5*a - 3*w. Determine z, given that -4 - z**2 + 3*z**2 + 0*z**3 + 4*z - z**a - z**2 = 0.
-2, 1, 2
Suppose 1228073 - 355865 = 4038*b. Determine v, given that -3459/2*v**2 - 1260*v**3 - b*v**4 + 315*v - 27/2 = 0.
-3, 1/12
Determine y so that -360 + 57*y - 7*y**2 + 21*y**2 - 11*y**2 = 0.
-24, 5
Find b such that 10/13*b**5 + 10/13*b**3 + 4*b**4 + 0*b**2 + 0*b + 0 = 0.
-5, -1/5, 0
Let p(t) be the first derivative of -20*t**6/3 - 52*t**5 - 445*t**4/8 + 440*t**3/3 + 435*t**2/4 - 225*t + 2324. Determine x, given that p(x) = 0.
-5, -2, -1, 3/4
Let v be (-9 + (-150)/(-20))/((-35)/14 - -2). Let w(z) be the first derivative of 16/5*z**5 + 0*z**v - 1 + 0*z**2 + 2*z**6 + 0*z + z**4. Factor w(c).
4*c**3*(c + 1)*(3*c + 1)
Suppose 103*t - 2160 = 121*t. Let x be (2/16)/(t/(-192)). Suppose 0*c + 0 + x*c**3 + 1/5*c**2 = 0. What is c?
-1, 0
Let l(j) be the second derivative of 0 - 1/36*j**4 + 0*j**3 + 0*j**2 + 81*j. Factor l(i).
-i**2/3
Suppose -5*q - 5*c + 39 - 19 = 0, 4*c = 4*q. Suppose -60*l**2 + 18*l**2 + 40*l**4 - 22*l - 48*l + 12*l**3 - 10*l - 4*l**5 - 70*l**q = 0. Calculate l.
-1, 0, 2, 10
Let d(f) be the second derivative of -2*f**7/147 - 8*f**6/3 - 5037*f**5/35 - 3174*f**4/7 - 10*f - 24. Find z such that d(z) = 0.
-69, -2, 0
Let s(t) be the third derivative of -t**6/390 +