280 - 39*g**6/32 + 9603*g**5/80 - 9409*g**4/32 + 2*g**2 - 3*g + 37. Factor n(q).
3*q*(q - 97)**2*(q - 1)/4
Let p(l) = -37*l - 294. Let o be p(-8). Suppose 26 + 54*j - 37*j**3 + 78*j**3 - 39*j**3 + 30*j**o = 0. Calculate j.
-13, -1
Factor 0 - 1/5*t**2 - 4/5*t + 4/5*t**3 + 1/5*t**4.
t*(t - 1)*(t + 1)*(t + 4)/5
Let h be 17/36 + (-4)/18. Let k be 10/(-80)*-90 + -11. Factor k - h*s**3 + 1/4*s - 1/4*s**2.
-(s - 1)*(s + 1)**2/4
Factor -14/3*g**2 + 2/3*g**3 + 8*g + 0.
2*g*(g - 4)*(g - 3)/3
Factor 357*s**3 + 363*s**3 + 1360 + 270*s**3 + 320*s**2 - 995*s**3 + 1340*s.
-5*(s - 68)*(s + 2)**2
Let y(o) be the third derivative of -o**6/120 + 7*o**5/48 - 29*o**4/48 + 9*o**3/8 - 3*o**2 + 15*o + 1. Factor y(d).
-(d - 1)**2*(4*d - 27)/4
Let n = -2/663 - -223/663. Let t = 17/21 + n. Factor 2/7*a**2 - t - 6/7*a.
2*(a - 4)*(a + 1)/7
Suppose 23*j - 198 = 12*j. Factor 6*l**2 - 3*l**2 - 5*l**2 + j*l.
-2*l*(l - 9)
Suppose g - 2*y - 16 = 0, -2*g + 3*y + 7 = 4*y. Let o be g/(-1) - (8/10 + -7). Factor o*c**4 + 0 + 0*c**3 + 0*c + 0*c**2.
c**4/5
Suppose 104 = -5*r + r + 2*h, 0 = -r + 4*h - 40. Let j be -3 - (4 + -3)*r. Factor 13*t**2 + 2*t**3 + 22*t**4 - 2*t**4 - j*t**2 - 14*t**3.
4*t**2*(t - 1)*(5*t + 2)
Factor 0 - 6*d**3 - 33/2*d + 3/4*d**4 - 93/4*d**2.
3*d*(d - 11)*(d + 1)*(d + 2)/4
Suppose -834*m = -840*m. Suppose 80*x - 76*x - 12 = m. Solve -9/2 + 21/8*p**2 - 21/2*p + 15/8*p**x = 0.
-3, -2/5, 2
Let t be (75/(-9)*(-81)/(-5265))/(3/(-36)*10). Factor t*x**2 + 128/13 + 32/13*x.
2*(x + 8)**2/13
Let v(u) be the first derivative of -3/38*u**4 + 4/19*u**2 - 46 + 0*u + 2/95*u**5 + 0*u**3. Factor v(d).
2*d*(d - 2)**2*(d + 1)/19
Let r(i) be the third derivative of 13*i**8/112 + 19*i**7/70 - 33*i**6/40 - 31*i**5/20 + 5*i**4/2 + 6*i**3 + 1745*i**2. Suppose r(j) = 0. Calculate j.
-2, -1, -6/13, 1
Let d(n) be the third derivative of n**5/105 - 499*n**4/42 + 332*n**3/7 - 1780*n**2. Factor d(j).
4*(j - 498)*(j - 1)/7
Factor 272/7*n - 274/7*n**2 + 2/7*n**3 + 0.
2*n*(n - 136)*(n - 1)/7
Let l(o) be the first derivative of -5/9*o**3 - 22/3*o + 64 - 19/2*o**2. Factor l(p).
-(p + 11)*(5*p + 2)/3
Let y(z) = 6*z**3 - 12*z**2 + 46*z - 36. Let h(v) be the second derivative of v**5/20 + v**4/12 + v**3/6 - 4*v - 2. Let c(a) = -4*h(a) + y(a). Factor c(b).
2*(b - 3)**2*(b - 2)
Solve 0*i + 1/4*i**5 + 275/2*i**4 + 0 + 0*i**2 - 276*i**3 = 0 for i.
-552, 0, 2
Let a be (-11726)/(-66) + 2/(-3). Find s such that -193 + 18*s**2 - 7*s**3 + 10*s + 346 - 3*s**4 - a + 18*s = 0.
-3, -2, 2/3, 2
Solve 83*g**2 - 90*g + 213*g**2 - 80*g**3 - 471*g**2 + 5*g**4 = 0 for g.
-1, 0, 18
Let u(p) be the second derivative of p**4/18 - 83*p**3/3 + 246*p**2 + p + 983. Factor u(n).
2*(n - 246)*(n - 3)/3
Let k = -4097/3 + 4099/3. Factor 8/3*z**2 + k*z**3 - 32/3 - 8/3*z.
2*(z - 2)*(z + 2)*(z + 4)/3
Factor -28*x**2 + 1035 + x**3 + 1051 - 33*x**2 - 2188 + 7*x**2 + 155*x.
(x - 51)*(x - 2)*(x - 1)
Let -10*u**3 - 1/3*u**4 + 1 - 23/3*u + 46/3*u**2 + 5/3*u**5 = 0. What is u?
-3, 1/5, 1
Let a(s) = 9*s**3 + 132*s**2 + 280*s + 13. Let c(l) = -2*l**3 - 33*l**2 - 70*l - 3. Let d(p) = 3*a(p) + 13*c(p). Factor d(y).
y*(y - 35)*(y + 2)
Let d be ((-3 - 3) + 144/24)*((-27)/(-18) + -1). Let 70*p**3 + d - 176/5*p**2 - 98/5*p**4 + 24/5*p = 0. What is p?
0, 2/7, 3
Suppose -10*g + p = -15*g + 176, g = -3*p + 38. Let c be (-171)/(-189) - 20/g. Factor c*a**2 - 4/3 + 0*a.
(a - 2)*(a + 2)/3
Let w(o) = 338*o**5 - 34*o**4 - 1347*o**3 + 211*o**2 - 11*o + 3. Let b(z) = -6*z**4 - z**3 - z**2 + z - 1. Let g(s) = 3*b(s) + w(s). What is d in g(d) = 0?
-2, 0, 1/13, 2
Let k(w) be the second derivative of -1/60*w**5 + 1/18*w**3 + 1/3*w**2 + 0 - 25*w - 1/18*w**4. Factor k(n).
-(n - 1)*(n + 1)*(n + 2)/3
What is y in -5*y**3 - 63*y + 473*y**3 + 4928*y**2 + 29*y**5 - 705*y - 342*y**4 - 3*y**5 = 0?
-3, 0, 2/13, 8
Let b(t) be the third derivative of -t**7/12600 + t**6/360 - t**5/24 + t**4/6 - 25*t**2. Let u(z) be the second derivative of b(z). Factor u(a).
-(a - 5)**2/5
Solve 15*i - 5*i**3 + 20 - 25*i**2 + 6377*i**4 - 6372*i**4 + i**5 - 11*i = 0.
-5, -2, -1, 1, 2
Let t(k) be the first derivative of -k**5 - 35*k**4/2 - 65*k**3 + 35*k**2 + 200*k + 1552. What is j in t(j) = 0?
-10, -4, -1, 1
Let k be 4 - ((-4)/1 - -4). Suppose v + 265 = 4*b - k*v, 4*v = -5*b + 362. Suppose -3*o**4 - 3*o + 37*o**3 - b*o**3 + 3*o**2 + 36*o**3 = 0. Calculate o.
-1, 0, 1
Let b(a) be the first derivative of -a**4/20 - 53*a**3/15 - 135*a**2/2 + 729*a/5 + 1521. Factor b(h).
-(h - 1)*(h + 27)**2/5
Let d(x) be the third derivative of x**6/60 + 21*x**5/10 + 77*x**4/4 - 295*x**3/3 - 51*x**2 - x. Let d(v) = 0. Calculate v.
-59, -5, 1
Let k(x) = -12*x**2 + 1320*x - 149196. Let j(v) = 11*v**2 - 1322*v + 149195. Let g(w) = -9*j(w) - 8*k(w). Factor g(y).
-3*(y - 223)**2
Let f(o) be the first derivative of -2/3*o**3 + 2*o**2 + 34 + 16*o. Determine n, given that f(n) = 0.
-2, 4
Let u(n) = 7*n**3 + n**2. Let x be u(1). Suppose a + 3*v = 4*v + 1, -2*v + x = 3*a. Factor 23*f - 2*f**2 - f**a + 27*f - 44*f.
-3*f*(f - 2)
Let a be (-2)/5*6000/(-864). Let u(r) be the third derivative of a*r**3 - 5/18*r**4 + 0 + 0*r - 2*r**2 + 1/90*r**5. Factor u(q).
2*(q - 5)**2/3
Suppose 3/4*d**4 + 48 - 54*d - 3/2*d**2 + 27/4*d**3 = 0. What is d?
-8, -4, 1, 2
Let m(p) be the second derivative of -3*p**5/140 + 74*p**4/7 - 10952*p**3/7 + 2544*p. Solve m(d) = 0.
0, 148
Let k(a) be the first derivative of -26/5*a**5 - 104 + 1215/2*a**2 - 1/6*a**6 - 107/2*a**4 + 1458*a - 144*a**3. Determine y so that k(y) = 0.
-9, -1, 2
Let y = 7/12 + 7/132. Let z be 1*-4 + (-329)/(-77). Factor z - y*j + 5/11*j**2 - 1/11*j**3.
-(j - 3)*(j - 1)**2/11
Suppose 18531*g + 7*b - 75 = 18528*g, -4*g - 2*b + 34 = 0. Let 1/5*z**3 + 4/5 - 3/5*z**g + 12/5*z - 1/5*z**5 + 11/5*z**2 = 0. Calculate z.
-2, -1, 2
Let x be (4/1)/(8/60*10). Determine z so that 7*z + 42*z**2 - 36*z**2 + 8*z**3 - 9*z**x = 0.
-1, 0, 7
Let g(f) = 5*f**2 - 159*f + 6. Let h(u) = -55*u**2 + 1750*u - 65. Let d(k) = 65*g(k) + 6*h(k). Solve d(r) = 0.
0, 33
Let t = -13 + 17. What is f in 13*f**2 - t*f**3 - 5*f + 11*f**2 - 16*f + f**3 = 0?
0, 1, 7
Let r(k) be the first derivative of -k**6/3 + 34*k**5/5 - 85*k**4/2 + 106*k**3 - 90*k**2 - 940. Solve r(z) = 0 for z.
0, 1, 3, 10
Let f(i) = -i**3 + 12*i**2 + 14*i + 15. Let a be f(13). Factor -8*z**2 - 17*z + 3*z**2 + 50 - a*z.
-5*(z - 1)*(z + 10)
Solve -182408/11 - 2/11*m**2 + 1208/11*m = 0 for m.
302
Let g(q) be the third derivative of 11/300*q**5 - 1/15*q**4 + 0*q**3 - 40*q**2 - 2 + 0*q. What is s in g(s) = 0?
0, 8/11
Let n = 246 - 244. Suppose 3*o = -n*h + 16, -4*o - 9 = -3*h - 36. Let -27/2*y - o*y**5 - 9/2*y**4 + 3 + 3/2*y**2 + 39/2*y**3 = 0. Calculate y.
-2, -1, 1/4, 1
Suppose -572*b + 573*b - 93 = 0. Find p such that -1730*p**2 - 27 - b - 555*p**3 + 27*p**5 + 940*p + 53*p**5 + 440*p**4 = 0.
-6, -2, 1/4, 2
Let o(v) be the first derivative of -3*v**4/8 + 5*v**3/2 + 3*v**2/4 - 15*v/2 + 527. Find q such that o(q) = 0.
-1, 1, 5
Factor -24/11*r - 64/11 + 18/11*r**2.
2*(3*r - 8)*(3*r + 4)/11
Let h(q) be the first derivative of -448*q - 188/7*q**3 + 576*q**2 + 87 + 5/14*q**4. Factor h(i).
2*(i - 28)**2*(5*i - 2)/7
Let x(z) be the second derivative of -43*z**5/2 + 427*z**4/9 - 23*z**3 - 2*z**2/3 - 700*z. Solve x(l) = 0 for l.
-2/215, 1/3, 1
Let w(x) be the third derivative of -3/70*x**7 - 7*x - 11/8*x**4 + 12*x**2 - 13/40*x**6 - 19/20*x**5 + 0 - x**3. Find q, given that w(q) = 0.
-2, -1, -1/3
Let s = 1256 + -11290/9. Suppose 8 = -14*g + 18*g. Factor 4/9*v**g + s*v + 2/3.
2*(v + 3)*(2*v + 1)/9
Let f(j) be the first derivative of 22/3*j + 65 - 5/9*j**3 + 53/6*j**2. Solve f(s) = 0.
-2/5, 11
Suppose 1408 = -10*a - 1612. Let y = -298 - a. Let 0 - 1/7*t**5 - 1/7*t + 2/7*t**3 + 0*t**2 + 0*t**y = 0. Calculate t.
-1, 0, 1
Let a(h) be the second derivative of -h**7/105 - 16*h**6/75 - 23*h**5/25 + 24*h**4/5 - 27*h**3/5 - 3041*h + 2. Factor a(y).
-2*y*(y - 1)**2*(y + 9)**2/5
Suppose t + 1 = 3. Let d(y) = -y**2 - 5*y + 87. Let g be d(-12). Determine x, given that 0*x - 60*x**4 + 20*x**3 + 15*x - 10 - 38*x**5 + g*x**5 + 70*x**t = 0.
-1, 2/7, 1
Let l(k) be the third derivative of -k**7/280 + k**6/8 - 15*k**5/8 + 125*k**4/8 - 625*k**3/8 - k**2 - 374*k. Determine c, given that l(c) = 0.
5
Let t = 196859 - 787435/4. Find v, given that 1/4*v**3 - 17/4*v + t*v**2 + 15/4 = 0.