l in y(l) = 0?
-447, 0, 1
Find x, given that -24/5*x**2 + 8*x + 2/5*x**3 + 0 = 0.
0, 2, 10
Let h(r) = r**5 - 3*r**4 + 4*r**2 - r - 1. Let u(o) = o**3 - o**2 - o + 1. Let d be 3/1*(-22)/(-33) - 0. Let g(m) = d*u(m) + h(m). Factor g(y).
(y - 1)**4*(y + 1)
Let j = -421428 + 421432. Solve 0*h + 27/4*h**3 + 3/4*h**j + 0 + 21/2*h**2 = 0.
-7, -2, 0
Suppose -v = 0, -5*k - 3*v - 55 = -740. Let j = -133 + k. Suppose -8/3*t**3 - 4/3*t - 2/3*t**j - 10/3*t**2 + 0 = 0. What is t?
-2, -1, 0
Let l(t) be the second derivative of t**6/300 + 157*t**5/100 + 1027*t**4/5 - 157*t**3/30 - 24649*t**2/20 + 268*t - 6. What is u in l(u) = 0?
-157, -1, 1
Let t(f) be the first derivative of -f**6/90 + 11*f**5/15 - 7*f**4/2 - 26*f**3 - 31. Let q(c) be the third derivative of t(c). What is v in q(v) = 0?
1, 21
Let i(q) = -10*q + 8*q**3 - 2*q**3 - 8 + 2*q**2 - 7*q**3 + 6*q**2. Let k be i(6). Let f + 0*f**3 + 28*f**2 - f + k*f**3 = 0. What is f?
-7, 0
Let i(q) be the third derivative of -9/8*q**4 + 3*q**2 + 4 + 0*q + 0*q**3 - 7/40*q**6 - 17/20*q**5 + 1/70*q**7. Let i(p) = 0. Calculate p.
-1, 0, 9
Let f be -10 - (6 - 145/25 - 7/(140/264)). Factor 39/4*k**2 + 225/4 + 3/4*k**f + 165/4*k.
3*(k + 3)*(k + 5)**2/4
Let a = 72872 - 364346/5. Factor -3 + 1/5*i**2 - a*i.
(i - 15)*(i + 1)/5
Solve -118*s - 67*s**3 + 141*s**2 - 68*s**3 + 274*s**2 + 128*s**3 = 0 for s.
0, 2/7, 59
Let t(g) be the first derivative of g**3/21 - 31*g**2/14 + 30*g/7 + 313. Factor t(s).
(s - 30)*(s - 1)/7
Solve -441 - 70/3*l**3 - 217*l - 7/3*l**4 + 610/3*l**2 + 1/3*l**5 = 0.
-9, -1, 3, 7
Let j(k) be the first derivative of 54/7*k**2 + 76 - 10*k**3 + 1/14*k**6 - 18/35*k**5 - 21/4*k**4 + 264/7*k. Suppose j(r) = 0. What is r?
-2, 1, 11
Determine y so that 0 - 2/9*y**2 + 134/3*y = 0.
0, 201
Let y(r) be the second derivative of r**6/240 - r**5/80 - r**4/96 + r**3/24 + r + 2234. What is k in y(k) = 0?
-1, 0, 1, 2
Let c = 261916/5 - 52380. Let v = 70 + -338/5. Factor -4/5 + c*f**2 + v*f.
4*(f + 1)*(4*f - 1)/5
Let q be (9 - (11 + -11)/3) + -5. Let z(d) be the first derivative of 8*d - 8/3*d**3 - 28 + 2*d**2 - d**q. Factor z(h).
-4*(h - 1)*(h + 1)*(h + 2)
Let 88*q**2 + 8439 + 16*q**3 - 2*q**4 - 8439 + 96*q = 0. What is q?
-2, 0, 12
Suppose 7*u = -3*j - 118, 8*u + 15 + 152 = 3*j. Factor -1/8*a**2 + 3/8*a**3 + 1/8*a**j + 0 + 0*a - 3/8*a**4.
a**2*(a - 1)**3/8
Let q = 176 - 171. Factor 0*x**5 + 5*x**4 + 8*x**3 + q*x - 18*x**3 - 10*x**2 + 7*x**5 - 2*x**5 + 5.
5*(x - 1)**2*(x + 1)**3
Factor 32*a**3 + 230*a**3 - 612*a**3 - 2*a**4 - 85698*a - 86526*a**2 - 480*a**3.
-2*a*(a + 1)*(a + 207)**2
Let i be (12 - 190/(-35)) + 1*(11 - 13). Factor 428/7*j - 16/7*j**2 + i.
-4*(j - 27)*(4*j + 1)/7
Suppose -3*o + m + 243 = 0, o - 4*m = -3*o + 332. Factor -105*d - 5*d**3 + 62 - 52 + 40*d**2 + o.
-5*(d - 3)**2*(d - 2)
Let v(m) = m**2 - 6*m + 1. Let w be v(4). Let x be (-2)/w - 48/(-28). Find p, given that x + 13*p**2 - p - 9*p**2 - 5*p**2 = 0.
-2, 1
Factor 0 + 1/4*d**3 - 7*d**2 + 13*d.
d*(d - 26)*(d - 2)/4
Let o be ((-12)/27)/((-446)/2007). Find j such that -68/21*j - 16/21 + 38/21*j**o = 0.
-4/19, 2
Let r(z) be the third derivative of -z**6/1320 - 8*z**5/165 - 221*z**4/264 + 289*z**3/33 + 153*z**2. Determine g, given that r(g) = 0.
-17, 2
What is a in -112/5*a**2 + 0 - 24/5*a**5 + 28/5*a**4 + 32/5*a + 88/5*a**3 = 0?
-2, 0, 1/2, 2/3, 2
Let q be (-2)/(-68) + (-327845)/(-821338). Let q*f**3 - 48/7 + 3*f**2 + 24/7*f = 0. What is f?
-4, 1
Let p(u) be the third derivative of u**5/330 - 124*u**4/33 + 61504*u**3/33 + 1026*u**2. Suppose p(v) = 0. What is v?
248
Let h be (-126)/12*1/(-3). Suppose -9 = m - 11. Factor -h*d**m - d + 0.
-d*(7*d + 2)/2
Let w(y) = -15*y**2 + 45*y - 19. Let n = -203 - -199. Let p(u) = -5*u**2 + 15*u - 6. Let g(t) = n*w(t) + 11*p(t). What is b in g(b) = 0?
1, 2
Let w(c) = -5*c**4 - 51*c**3 - 3*c**2 + 149*c - 96. Let t(g) = -12*g**4 - 102*g**3 - 6*g**2 + 296*g - 190. Let z(u) = -3*t(u) + 7*w(u). Factor z(y).
(y - 51)*(y - 1)**2*(y + 2)
Let o(c) be the second derivative of c**7/1680 + 7*c**4/6 + c**2 + 7*c. Let i(p) be the third derivative of o(p). Factor i(s).
3*s**2/2
Let i(j) be the first derivative of j**3/12 + 159*j**2/2 + 25281*j + 995. Factor i(m).
(m + 318)**2/4
Let 7*z**3 - 14 - 22*z + 1/2*z**4 - 3/2*z**2 = 0. Calculate z.
-14, -1, 2
Suppose 25 = -5*h, 0 = o + h + 5 - 10. Let q(s) = s**3 - 1. Let u(n) = 9*n**3 + 110*n**2 - 32*n - 2. Let a(z) = o*q(z) - 5*u(z). Let a(j) = 0. Calculate j.
-16, 0, 2/7
Let n(m) be the third derivative of 0*m**3 - 1/2*m**4 + 1/70*m**7 - 1/20*m**5 + 2*m + 0 + m**2 + 1/10*m**6. Factor n(r).
3*r*(r - 1)*(r + 1)*(r + 4)
Factor 121*l + 1005*l**2 + 1211*l + 80 - 742*l - 135*l**3.
-5*(l - 8)*(3*l + 1)*(9*l + 2)
Let y(j) = 15356*j + 107495. Let o be y(-7). Factor -18/7*r**o - 3/7*r**4 + 0 + 0*r - 27/7*r**2.
-3*r**2*(r + 3)**2/7
Let j(b) be the third derivative of 7*b**5/10 + b**4/4 - b**3/3 - 6*b**2 + 1. Let p(h) = h**2 - h + 1. Let s(f) = -j(f) + 6*p(f). Suppose s(c) = 0. Calculate c.
-2/3, 1/3
Let r = 18 + -15. Let z(k) = k**3 - 8*k**2 + 12*k + 2. Let a be z(6). Factor 6*y + 3 - 8 + a*y**3 + r - 6*y**2.
2*(y - 1)**3
Let a(l) be the third derivative of 2*l**7/735 + 16*l**6/105 - 11*l**5/35 - 1696*l**2. Factor a(c).
4*c**2*(c - 1)*(c + 33)/7
Let f be 41/(-369) - (-2890)/(-5499). Let x = -1/47 - f. Suppose 0*v + 2/13*v**2 - x = 0. What is v?
-2, 2
Let q = 6 - 3. Let c = 196/447 + -47/447. Let -2*z - c*z**2 - q = 0. What is z?
-3
Let b(i) be the second derivative of i**7/98 + i**6/7 + 9*i**5/70 - i**4 - i**3/2 + 27*i**2/7 - 7*i + 109. Find x, given that b(x) = 0.
-9, -2, -1, 1
Let b(q) be the first derivative of -2/15*q**5 - 2*q**3 + 0*q**4 - 12 + 0*q + 0*q**2 + 1/90*q**6. Let u(p) be the third derivative of b(p). Factor u(t).
4*t*(t - 4)
Factor -187/4*m**3 - 784*m + 354*m**2 + 2*m**4 - 640.
(m - 8)**3*(8*m + 5)/4
Let n(f) = -51*f**3 + 21*f + 21. Let d(r) = -5*r**3 + 2*r + 2. Let i(a) = -21*d(a) + 2*n(a). Let h be i(1). Factor h*l**2 + 9 - 8*l**2 - 10*l**2 - 6*l.
-3*(l + 1)*(5*l - 3)
Let o(u) be the second derivative of 3*u**5/20 + 577*u**4/4 + 41760*u**3 + 124416*u**2 + 364*u + 12. Suppose o(v) = 0. Calculate v.
-288, -1
Determine a, given that -1034/5*a**2 - 34 + 1192/5*a + 12/5*a**3 = 0.
1/6, 1, 85
Find q such that 25/6*q**5 - 97/2*q**3 + 685/3*q**4 - 442/3*q**2 - 110/3*q + 0 = 0.
-55, -2/5, 0, 1
Suppose -6*w**3 + 8 - 21*w + 37/2*w**2 + 1/2*w**4 = 0. Calculate w.
1, 2, 8
Factor 17*r**2 - 2*r**4 + 544*r**3 + 0*r - 545*r**3 - 3*r - 4*r - 7*r.
-r*(r - 2)*(r - 1)*(2*r + 7)
Suppose -4266 = 90*x + 197*x - 5127. Find v such that -2/3*v**x + 20*v + 0 - 2/3*v**2 = 0.
-6, 0, 5
Suppose 221*l - 8944 = 208*l. Suppose l = 4*p + 672. Factor 8 - p*z + 1/2*z**2.
(z - 4)**2/2
Let k be 198/165 + 31906/795. Solve k - 58/3*t - 2/3*t**2 = 0 for t.
-31, 2
Let b be (-295)/(-15) - 19 - (-1)/6. Let f(p) be the second derivative of -1/5*p**2 - 29*p - 2/3*p**3 - b*p**4 + 0. What is j in f(j) = 0?
-1/5
Let k(a) = 10*a**4 + 13*a**3 - 65*a**2 - 136*a - 68. Let m(j) = 9*j**4 + 12*j**3 - 66*j**2 - 138*j - 69. Let z(p) = 6*k(p) - 7*m(p). Factor z(u).
-3*(u - 5)*(u + 1)**2*(u + 5)
Let l(t) be the third derivative of -t**5/180 - 7*t**4/24 - 489*t**2. Factor l(b).
-b*(b + 21)/3
Let b = 277 - 270. Suppose b*g = 8 + 6. Factor 0 + 5/6*h**4 - 5/6*h + 5/2*h**g - 5/2*h**3.
5*h*(h - 1)**3/6
Let x(t) = -62*t + 310. Let q be x(5). Let d(l) be the third derivative of -1/15*l**4 - 1/75*l**5 - 10*l**2 + 0 - 2/15*l**3 + q*l. Factor d(k).
-4*(k + 1)**2/5
Let i(b) be the first derivative of -3*b**5/5 - 3*b**4/2 + 27*b**3 + 84*b**2 - 240*b + 1674. Factor i(t).
-3*(t - 5)*(t - 1)*(t + 4)**2
Let c(v) = -2527*v + 15165. Let h be c(6). Suppose 12/5*r**4 + 0 + 32/5*r + 8/5*r**h - 4/5*r**5 - 48/5*r**2 = 0. Calculate r.
-2, 0, 1, 2
Let r(f) be the second derivative of f**6/30 + 23*f**5/20 + 31*f**4/4 - 455*f**3/6 + 169*f**2 - 3109*f. Factor r(h).
(h - 2)*(h - 1)*(h + 13)**2
Let g(d) be the third derivative of d**6/360 + 11*d**5/60 - 23*d**4/24 + 46*d**3/3 + 2*d**2 + 57. Let l(n) be the first derivative of g(n). Factor l(x).
(x - 1)*(x + 23)
Let c = 11 + 4. Let j = c + -13. Factor -50*x**3 + 11*x - 29*x - 59*x**2 - 23*x**2 - 8*x**4 - 2*x**j.
-2*x*(x + 3)**2*(4*x + 1)
Let p(z) = 3*z**2 + 27*z - 21. Let w be p(-10). Suppose -j + 50 = w*j. Suppose -8/15*q**j