 2)*(c + 10)*(3*c - 2)/5
Find o such that 1/8*o**3 + 0 - 127/8*o**2 + 531/4*o = 0.
0, 9, 118
Let h(t) be the third derivative of t**5/240 + 325*t**4/96 + 27*t**3/2 + 4727*t**2. Find w such that h(w) = 0.
-324, -1
Determine m so that 22/7*m**4 + 0 + 144/7*m + 1/7*m**5 + 97/7*m**3 - 264/7*m**2 = 0.
-12, 0, 1
Let q(a) be the first derivative of a**6/360 + a**5/30 + a**4/6 - 146*a**3/3 - 26. Let c(n) be the third derivative of q(n). Determine h, given that c(h) = 0.
-2
Let p = -83 + 110. Let -124*h**2 - 33*h - p*h - 21*h + 30 + 34*h**2 + 21*h**3 = 0. What is h?
-1, 2/7, 5
Let p(h) be the second derivative of -h**4/18 - 2*h**3 - 17*h**2/3 - 13*h + 1. Factor p(z).
-2*(z + 1)*(z + 17)/3
Let o = 200008/3 - 66668. Determine g so that -o*g + 1/3*g**3 + 0 - 1/3*g**4 + 4/3*g**2 = 0.
-2, 0, 1, 2
Let u = -942858 + 942861. What is d in -1/2*d**u - 1012*d + 1058 - 91/2*d**2 = 0?
-46, 1
Factor -170*w**4 + 71*w**4 + 83*w**4 + w**5 - 12*w**2 - 8*w**3 - 6*w**2 - 27*w**3.
w**2*(w - 18)*(w + 1)**2
Factor 3/5*t**3 - 11900466861/5 + 22553001/5*t - 14247/5*t**2.
3*(t - 1583)**3/5
Let y(a) be the third derivative of -a**7/840 - 13*a**6/360 - 145*a**3/6 - 152*a**2. Let q(j) be the first derivative of y(j). Factor q(u).
-u**2*(u + 13)
Let p(f) be the third derivative of -f**6/360 + 2*f**5/9 - 50*f**4/9 - 35*f**2. Factor p(s).
-s*(s - 20)**2/3
Suppose 0 = -46*v + 49*v - 21. Suppose v*t - 72 = -17*t. Solve 5/2*o**2 + 4*o + 1/2*o**t + 2 = 0.
-2, -1
Let 3*j**5 - 1426951*j**4 + 1426969*j**4 + 42*j**3 + 12*j - 3*j**3 + 36*j**2 = 0. What is j?
-2, -1, 0
Find h such that 0 + 386/15*h**3 + 40*h**2 + 2/15*h**5 + 28/5*h**4 + 296/15*h = 0.
-37, -2, -1, 0
Let k = 16/1061 - -805/16976. Let y(d) be the second derivative of 1/2*d**2 - 7/48*d**4 + k*d**5 - 14*d - 1/3*d**3 + 0. Factor y(a).
(a - 2)*(a + 1)*(5*a - 2)/4
Let g(z) = -z**3 - 80*z**2 - 344*z - 286. Let k(v) = -v**2 - 2. Let o(r) = 5*g(r) - 35*k(r). Find d, given that o(d) = 0.
-68, -4, -1
Let j = -160 + 314. Suppose 0 = -4*c - 3*d + 264, d + 3*d = 2*c - j. Factor -20*z**2 + 104*z + 8 - c*z + 2.
-5*(z - 2)*(4*z + 1)
Suppose -17*l = -23151 + 2292. Let d = 1229 - l. Factor 1/2*p**d + 7/2*p - 4.
(p - 1)*(p + 8)/2
Let q(f) be the first derivative of 1/4*f**2 - 9/8*f**4 - 1/6*f**3 + 0*f - 11/10*f**5 - 1/3*f**6 + 40. Let q(v) = 0. Calculate v.
-1, 0, 1/4
Let k = -16385 + 16385. Let c(n) be the second derivative of 9/80*n**5 + 3/16*n**4 + 1/8*n**3 - 22*n + k + 0*n**2 + 1/40*n**6. Factor c(q).
3*q*(q + 1)**3/4
Let m(g) be the third derivative of -g**5/300 - 137*g**4/2 - 563070*g**3 - 72*g**2 + g. Find h such that m(h) = 0.
-4110
Let h(t) be the first derivative of -t**4/14 - 184*t**3/21 + 380*t**2/7 - 768*t/7 - 14950. Factor h(s).
-2*(s - 2)**2*(s + 96)/7
Let h be (-2 - 3 - -4)/(1/(-1943)). Suppose -26 - h*j + 1998*j + 5*j**3 - 4 - 30*j**2 = 0. Calculate j.
1, 2, 3
Let m(c) = 81*c**3 - 2191*c**2 + 109*c - 6. Let w(l) = l**3 - l**2 - l - 2. Let s(d) = -2*m(d) + 6*w(d). Let s(n) = 0. What is n?
0, 2/39, 28
Let l(t) be the first derivative of 12/5*t**2 - 2/25*t**5 + 9/10*t**4 + 0*t - 233 - 8/3*t**3. Factor l(j).
-2*j*(j - 6)*(j - 2)*(j - 1)/5
Let t(b) be the first derivative of -b**3/3 + 175*b**2 + 704*b + 928. Solve t(g) = 0.
-2, 352
Let x(r) be the first derivative of -3*r**4/4 + 84*r**3 - 1350*r**2 + 7776*r - 1958. Determine g so that x(g) = 0.
6, 72
Let x = -17541/278396 + -1/3524. Let l = 4123/237 + x. Factor -32/3*w**2 + 4/3*w**3 - 8 + l*w.
4*(w - 6)*(w - 1)**2/3
Let n = -20106 + 20109. Let c(x) be the second derivative of 7/2*x**n - x**6 + 27*x + 0*x**2 + 0 + 1/14*x**7 + 18/5*x**5 - 11/2*x**4. Factor c(a).
3*a*(a - 7)*(a - 1)**3
Suppose -7*t = -70 - 28. Let c be 1974/(-294) - t/(-2). Factor 0*z - 2/7*z**2 + c.
-2*(z - 1)*(z + 1)/7
Suppose 0 = 62*b - 66*b + 12. Suppose 38*c**2 + 90*c - 5*c**b - 8*c**2 + 5*c**2 = 0. What is c?
-2, 0, 9
Let l be (-1)/2*(-30)/(-9)*-3. Factor 5 - 22*c**4 - 2*c - l + 5*c**2 - 4*c**3 + 23*c**4.
c*(c - 2)*(c - 1)**2
Let q(o) be the second derivative of -o**8/896 - o**7/80 - o**6/32 - 7*o**2 + 25*o. Let r(p) be the first derivative of q(p). Suppose r(t) = 0. Calculate t.
-5, -2, 0
Let a = 84095/38 + -2213. Let i(y) be the second derivative of -a*y**4 + 0*y**2 - 2/57*y**3 - 11*y + 0 - 1/190*y**5. Factor i(d).
-2*d*(d + 1)*(d + 2)/19
Let n(x) be the first derivative of -x**6/1620 - 43*x**5/540 - 7*x**4/18 - 84*x**3 - 80. Let w(c) be the third derivative of n(c). Let w(d) = 0. What is d?
-42, -1
Let y = -17898 - -30260. Find c, given that 10*c**2 - 6*c**3 + 12347*c + c**3 + 10*c**2 - y*c = 0.
0, 1, 3
Let w(c) be the third derivative of c**2 + 1/105*c**5 + 16/7*c**3 + 18*c - 5/21*c**4 + 0. Factor w(a).
4*(a - 6)*(a - 4)/7
Let y(x) be the third derivative of x**6/120 + 13*x**5/60 + 11*x**4/12 - 2800*x**2. Suppose y(a) = 0. Calculate a.
-11, -2, 0
Suppose 193*s - 479*s + 1144 = 0. Solve 12*a**2 + 0 + 73/3*a**3 - 35*a**s - 4/3*a = 0 for a.
-2/5, 0, 2/21, 1
Let g be (546/(-22) + 24)/((-3)/11). What is b in 11/3*b + 2*b**2 + 1/3*b**g + 2 = 0?
-3, -2, -1
Let z(b) be the second derivative of -b**5/40 + 3*b**4/8 - 9*b**3/4 + 13*b**2 - b - 80. Let x(w) be the first derivative of z(w). Suppose x(p) = 0. What is p?
3
Suppose 109*u = 54*u. Let s(d) be the third derivative of 2/15*d**5 + u*d - 7/6*d**4 + 2*d**3 + 0 + 4*d**2. Factor s(o).
4*(o - 3)*(2*o - 1)
Let j = 1819/180 + -286/45. Let v(q) be the second derivative of 0 - 7/8*q**4 - 26*q + 3/40*q**5 + j*q**3 - 27/4*q**2. Factor v(l).
3*(l - 3)**2*(l - 1)/2
Let s = 10 + -15. Let j be -6*(s/(-2) + -3). Factor 12*q**3 + j*q**5 - 229 - 15*q**4 + 229.
3*q**3*(q - 4)*(q - 1)
Let b(s) be the first derivative of s**7/420 - s**6/30 + 2*s**5/15 - 8*s**3 + 15. Let x(q) be the third derivative of b(q). Factor x(w).
2*w*(w - 4)*(w - 2)
Suppose -34845 = -5*c - 0*c. Let t be (2/(-6))/((-23)/c). Factor -78*l**3 + 10*l**4 + t*l + 23*l**3 + 28*l**2 - 26*l + 27*l**2 - 45.
5*(l - 3)**2*(l + 1)*(2*l - 1)
Let b = -690 + 662. Let w be 5/(245/b)*(-2 - 5). Solve 0 - 2/5*t**w - 6/5*t**3 - 6/5*t**2 - 2/5*t = 0.
-1, 0
Let q be (0 - 4)/(-2) + (-2 - -3). Factor -25*k + 3*k**2 + 52 + 8 + 64*k - q*k.
3*(k + 2)*(k + 10)
Let t(m) be the first derivative of m**3/4 - 27*m**2/4 - 57*m/4 - 1196. Factor t(w).
3*(w - 19)*(w + 1)/4
Let 20*o**2 + 0 + 0*o - 46/3*o**3 + 2/3*o**5 - 16/3*o**4 = 0. What is o?
-3, 0, 1, 10
Suppose -5*n + 30 = 5*h, 3*h + 7 = -5*n + 31. Let p be (-6)/((-9)/3) - (8 - (9 + 1)). Solve 3*l**4 - l**p + 11 - 13 + 2*l**n + 2*l**3 - 4*l = 0 for l.
-1, 1
Let c be (7 + 103)*(-4)/(-8). Suppose 5633*l**4 + 41 + c - 120*l**3 - 5603*l**4 - 240*l + 71*l**2 + 169*l**2 - 3*l**5 = 0. Calculate l.
2
Let g(i) be the third derivative of i**6/120 + 127*i**5/10 - 1017*i**4/32 + 763*i**3/24 + 7273*i**2. Determine t, given that g(t) = 0.
-763, 1/2
Let x(v) = -22*v**5 - 2*v**4 - 3*v**3 - 12*v**2 + 4*v + 14. Let u(r) = 2*r**5 + r**4 + 2*r**3 + r**2 - r - 2. Let y(w) = -7*u(w) - x(w). Solve y(t) = 0.
-1, -3/8, 0, 1
Suppose 0 = 99*l - 1267 + 1069. Determine u, given that -85/3*u - 16/3*u**l - 50 - 1/3*u**3 = 0.
-6, -5
Let n(h) = h**2 + 9*h + 20. Let k be n(-6). Suppose 33 = 2*s - c, -2*c - k*c = 2*s - 38. Factor 5 - 5*b**5 + s*b**4 + 3*b**4 - 5.
-5*b**4*(b - 4)
Let m(u) = -3*u**3 + 38*u**2 + 249*u + 454. Let v(d) = 3*d**3 - 39*d**2 - 243*d - 453. Let k(c) = 6*m(c) + 5*v(c). Factor k(j).
-3*(j - 17)*(j + 3)**2
Let j(d) = 3*d**3 - 19*d**2 + 65*d + 71. Let n(b) = 4*b**3 - 37*b**2 + 130*b + 143. Let p(r) = -7*j(r) + 4*n(r). Factor p(c).
-5*(c - 3)*(c + 1)*(c + 5)
Let m be (189/90)/(15/32570). Let j = m + -4531. Determine z so that -1/5*z**3 + 5*z**2 + j - 168/5*z = 0.
1, 12
Let f(j) be the first derivative of -j**7/2940 + j**5/60 + j**4/14 + 232*j**3/3 - 126. Let t(l) be the third derivative of f(l). Suppose t(r) = 0. What is r?
-2, -1, 3
Factor -118*y**3 - 179*y - 153 - 21*y**3 - 11*y**3 - 27*y**2 + 149*y**3.
-(y + 1)*(y + 9)*(y + 17)
Let u(a) be the second derivative of 1/3*a**3 - 2 + 0*a**2 - 1/4*a**4 - 3/20*a**5 + 1/15*a**6 - 15*a. Solve u(x) = 0.
-1, 0, 1/2, 2
Factor 2/11*l**2 - 148/11*l + 2738/11.
2*(l - 37)**2/11
Let p(x) be the first derivative of x**5/15 - 59*x**3/9 + 15*x**2 + 400*x/3 - 106. Factor p(w).
(w - 5)**2*(w + 2)*(w + 8)/3
Let q(l) be the third derivative of -l**5/30 + 7*l**4/6 + 1247*l**3/3 - 2