is d in -45*d + 86 - 21*d + 15 + 235 + 3*d**2 = 0?
8, 14
Let z(n) be the second derivative of -n**5/110 - 1579*n**4/22 - 2493241*n**3/11 - 3936827539*n**2/11 + n + 219. Solve z(r) = 0.
-1579
Factor 2/7*p**3 + 570/7*p**2 + 40896/7*p + 40328/7.
2*(p + 1)*(p + 142)**2/7
Suppose d - 5 = -2*t + 3*t, -3 = -3*d - t. Let h = 234 + -231. Determine w so that -2/7*w**4 - 4/7*w + 6/7*w**d + 0 + 0*w**h = 0.
-2, 0, 1
Let z be (-3)/(-15) - (-3 - 26/(-5)). Let a be 1 - ((-5)/10)/((-1)/z). Factor 72*o**2 + o**4 + 64*o**a + 4*o**5 + 4*o**3 - 8*o - 13*o**4 - 124*o**2.
4*o*(o - 2)*(o - 1)**2*(o + 1)
Factor 204*p**2 + 105*p**4 - 9225 - 1004*p**2 - 11520*p - 1015 + 580*p**3 + 5*p**5.
5*(p - 4)*(p + 1)*(p + 8)**3
Let x(f) = -2*f + 11. Let s be x(4). Suppose 0 = -7*g + 6*g + 10. Find t, given that s*t - 15*t + 5*t**2 - g*t**2 - 3*t = 0.
-3, 0
Let b(i) be the first derivative of -i**6/180 + i**5/6 - 2*i**4 - i**3 + 42*i - 78. Let m(p) be the third derivative of b(p). Factor m(h).
-2*(h - 6)*(h - 4)
Let q = -119 + 209. Factor -9*v**3 - q*v**2 - 30*v**2 + 4*v**3.
-5*v**2*(v + 24)
Let m = -260 - -275. Suppose 2*s + g - 6 = 0, -135*s = -140*s - g + m. Solve 3/5*k**2 - 3/5*k**4 - 1/5*k**s + 0 + 2/5*k - 1/5*k**5 = 0.
-2, -1, 0, 1
Let f = -71254 + 71266. Suppose 4*n - f - 1/3*n**2 = 0. Calculate n.
6
Let a(k) be the third derivative of 0 + 23/180*k**4 + 0*k - 1/45*k**5 + 71*k**2 - 4/15*k**3 - 1/900*k**6. Factor a(t).
-2*(t - 1)**2*(t + 12)/15
Let l(y) be the second derivative of 31*y**3/3 - 6*y**2 + 19*y. Let i be l(9). Solve -5 - i*c + 578*c - 23 - 4*c**2 = 0.
1, 7
Let w(v) = -19*v - 21. Let b be w(-7). Find a such that 60*a - 775*a**4 + b*a**3 - 829*a**3 + 4136*a**5 - 638*a**3 + 20*a**2 + 364*a**5 = 0.
-2/5, -1/4, 0, 2/9, 3/5
Suppose 67*b - 2*t = 72*b - 9, b - 12 = 3*t. Let k be 1 + (0 - (-3)/(-6)). Factor 1/2*i**b - k*i + 1/2*i**2 - 1/2.
(i - 1)*(i + 1)**2/2
Suppose a + 338 = 340. Factor 2*k**2 - 1 - 8*k + 6*k - 1 + a*k**3.
2*(k - 1)*(k + 1)**2
Let a = 105 - 28. Suppose 81*q - 8 = a*q. Solve 0*s**4 - 2*s**4 - q*s**3 + 11*s**4 + 4*s**5 - 2*s - 9*s**2 = 0 for s.
-2, -1, -1/4, 0, 1
Let p(r) = 3*r**3 + 326*r**2 - 435*r + 552. Let b be p(-110). Factor -4/5 - 4/5*s**5 - 4/5*s**4 + 8/5*s**3 - 4/5*s + 8/5*s**b.
-4*(s - 1)**2*(s + 1)**3/5
Let n = 264625 + -264622. Solve 6/5*k + 0 + 2/15*k**n - 4/5*k**2 = 0 for k.
0, 3
Let g(c) = -c**3 + 14*c**2 + 8*c + 2. Let k be g(14). Let f = k + -111. What is q in 2*q**f - 4*q**5 + 3*q**3 - 5*q**5 - 17*q**3 - 24*q**4 = 0?
-2, -2/3, 0
Factor 31995/2*v - 26775/2*v**2 + 125/2*v**3 - 9585/2.
5*(v - 213)*(5*v - 3)**2/2
Let z be ((-2415)/(-5244))/(-1 + 39/24). Factor -z + 40/19*i + 8/19*i**3 - 36/19*i**2 + 2/19*i**4.
2*(i - 1)**3*(i + 7)/19
Let u(m) be the third derivative of m + 1/140*m**6 - 9/35*m**5 + 1/490*m**7 + 130*m**2 + 0 - 32/7*m**3 + 11/7*m**4. Suppose u(y) = 0. What is y?
-8, 2
Let -22*r**4 + 4*r**2 - 34*r - 28*r**5 + 18 - 4*r - 2*r**5 + 36*r**3 + 32*r**5 = 0. What is r?
-1, 1, 9
Factor 931*x - 23826 + 48*x**2 - 144*x**3 + 81*x - 429*x + 141*x**3 + 842*x.
-3*(x - 19)**2*(x + 22)
Let u(a) be the first derivative of -32*a**6 + 456*a**5 + 2727*a**4/4 + 2781*a**3/8 + 1053*a**2/16 - 260. Factor u(j).
-3*j*(j - 13)*(8*j + 3)**3/8
Factor 430/3 - 620/3*p**2 - 1085/3*p + 5*p**3.
5*(p - 43)*(p + 2)*(3*p - 1)/3
Let g(z) be the second derivative of -5*z**4/12 - 205*z**3/6 - 195*z**2 - 1677*z. Find u, given that g(u) = 0.
-39, -2
Factor -1/2*y**2 + 34*y + 144.
-(y - 72)*(y + 4)/2
Let b(p) be the first derivative of -p**6/216 - p**5/24 + 4*p**3/3 - 5*p + 10. Let w(z) be the third derivative of b(z). Determine t, given that w(t) = 0.
-3, 0
Let 1/8*s**2 + 109/8*s - 111/4 = 0. What is s?
-111, 2
Let l(g) = -7*g**3 - 8*g**2 + 8*g + 2. Let u(k) = -k. Suppose 3*d - 9 = -12. Let w(p) = d*l(p) + 5*u(p). Factor w(s).
(s - 1)*(s + 2)*(7*s + 1)
Let h(c) = 25*c + 5. Let j be h(4). Let u = j - 308/3. Factor 12*g + 8/3 + u*g**3 + 10*g**2.
(g + 2)**2*(7*g + 2)/3
Factor 2/7*c**5 + 1292/7*c**4 + 1244176/7*c**2 + 2467840/7*c + 212504/7*c**3 + 1638400/7.
2*(c + 2)**3*(c + 320)**2/7
Let h(x) be the third derivative of -1/30*x**5 - 1/6*x**4 + 0*x**3 + 0*x + 0 + 33*x**2. Factor h(g).
-2*g*(g + 2)
What is a in -3015968/7 - 4912/7*a - 2/7*a**2 = 0?
-1228
Let j(o) be the second derivative of 3*o**3 + 1/84*o**4 + 2/105*o**5 + 0 - 25*o + 4/315*o**6 + 0*o**2. Let s(v) be the second derivative of j(v). Factor s(h).
2*(4*h + 1)**2/7
Let v(t) be the second derivative of t**5/130 - 53*t**4/6 - 8956*t. Factor v(m).
2*m**2*(m - 689)/13
Let l be (-2 + 2)*(112/(-42) - -3). Let q(y) be the third derivative of -5*y**3 + 0*y + 5/24*y**4 + 1/12*y**5 + 36*y**2 + l. Find g, given that q(g) = 0.
-3, 2
Let a(q) be the third derivative of 7*q**2 + 0*q - 4/5*q**5 - 3 + 35/8*q**4 - 1/40*q**6 - 9*q**3. Determine m so that a(m) = 0.
-18, 1
Find z such that -130*z**4 + 62*z**4 + 1545*z - 1545*z + 400*z**3 + 63*z**4 + 820*z**2 = 0.
-2, 0, 82
Let t(s) be the second derivative of s**8/3360 + s**7/140 + s**6/45 + 7*s**4 + 13*s - 3. Let k(g) be the third derivative of t(g). Factor k(d).
2*d*(d + 1)*(d + 8)
Let s(o) be the first derivative of o**7/168 + 11*o**6/24 + 85*o**5/8 - 1445*o**4/24 - 48*o**3 + 141. Let d(a) be the third derivative of s(a). Factor d(v).
5*(v - 1)*(v + 17)**2
Find y such that 14857*y**2 + y**4 + 42*y**3 - 14540*y**2 - 202*y**3 - 158*y = 0.
0, 1, 158
Let s be ((-2)/(-10))/((-24)/(-15)). Let p be 2/(-43) - 10270/(-4472). Factor -81/8 + p*v - s*v**2.
-(v - 9)**2/8
Let k(n) be the third derivative of n**6/1020 + 11*n**5/85 + 21*n**4/68 - 130*n**3/51 - 539*n**2. Suppose k(z) = 0. What is z?
-65, -2, 1
Let i(h) = h**2 + 46*h + 308. Let r be i(-38). Let g(m) be the second derivative of 0 + 14*m - 1/4*m**2 - 1/8*m**3 - 1/48*m**r. Factor g(v).
-(v + 1)*(v + 2)/4
Let s be -155*(136/(-20))/2. Let b be s/1564 - 10/115. Factor 0 - 5/8*n**2 + b*n.
-n*(5*n - 2)/8
Let o = -349211/4 + 87304. Let 3/4*n**4 + 33*n**2 + o*n**5 - 10*n - 41/2*n**3 + 0 = 0. Calculate n.
-5, 0, 2/5, 2
Solve -3/4*g**2 + 39/2*g - 75/4 = 0 for g.
1, 25
Let q(d) be the first derivative of -16*d**2 - 1/4*d**4 + 104 - 11/3*d**3 - 28*d. Let q(z) = 0. Calculate z.
-7, -2
Determine d so that -31*d**3 + 130*d**3 + 544*d - 62*d**3 - 41*d**3 - 264*d**2 = 0.
-68, 0, 2
What is y in -456/5*y + 363/5*y**4 + 36 - 213*y**2 - 12/5*y**5 - 54/5*y**3 = 0?
-1, 1/4, 2, 30
Let n(q) = -q**2 - 2*q + 2. Let z(y) = -6*y**2 - 36*y - 56. Let x(l) = 2*n(l) - z(l). Factor x(h).
4*(h + 3)*(h + 5)
Factor 17915 + 69*n**2 - 4*n**3 + 17810 + 396*n - n**4 - 35401.
-(n - 9)*(n + 1)*(n + 6)**2
Factor -12*g**4 + 2*g**5 + 639687359*g - 639687359*g + 18*g**3.
2*g**3*(g - 3)**2
Solve -4 - 10/7*y**3 - 2/7*y**4 + 30/7*y**2 + 10/7*y = 0.
-7, -1, 1, 2
Let j(c) be the third derivative of 0 + 1/840*c**6 - 4/105*c**5 + 0*c - 118*c**2 + 0*c**4 + 0*c**3. Factor j(u).
u**2*(u - 16)/7
Let t = 457 + -451. Let m(h) be the third derivative of -7/60*h**t - 14*h**2 + 1/3*h**3 - 3/4*h**4 + 0 + 1/2*h**5 + 0*h. Solve m(f) = 0.
1/7, 1
Let o(v) = -9*v**3 - 25*v**2 + 4*v. Let s(y) = -2*y**3 - 3*y**2 + y. Let a(q) = -o(q) + 4*s(q). Let a(g) = 0. What is g?
-13, 0
Let x(d) = -d**2 - d - 3. Let f(z) = z**4 - 21*z**3 - 84*z**2 + 218*z - 129. Let v(r) = -5*f(r) + 15*x(r). Factor v(h).
-5*(h - 24)*(h - 1)**2*(h + 5)
Find u, given that 8/3*u - 4/9*u**4 - 44/9*u**2 + 0 + 8/3*u**3 = 0.
0, 1, 2, 3
Factor -1/3*u**2 - 14641/3 - 242/3*u.
-(u + 121)**2/3
Let s(b) be the second derivative of -b**4/48 + b**3/4 + 247*b**2/8 - 3576*b. Suppose s(d) = 0. Calculate d.
-13, 19
Let g = -232548 + 232550. Factor -5 + 0*r**g + 1/4*r**3 - 21/4*r.
(r - 5)*(r + 1)*(r + 4)/4
Let u(v) = 1 + 1 - v + 1 + 1. Let i be u(2). Let -2 + 1/2*b**i - 1/2*b**3 + 2*b = 0. What is b?
-2, 1, 2
Suppose -131 - 44 = -7*m. Factor m + 28 + 3*a**2 - 23 - 21*a.
3*(a - 5)*(a - 2)
Let x(d) = 23*d**2 - 139*d + 6. Let v be x(6). Suppose 3*t - 5*z = v, -20*z + 21*z = -3*t + 18. Factor 0*b**2 + 0 - 5/4*b**t + 0*b**4 + 5/4*b**3 + 0*b.
-5*b**3*(b - 1)*(b + 1)/4
Solve -6*z**2 - 52/5*z + 48 - 2/5*z**3 = 0 for z.
-12, -5, 2
Let p be 6/63 - (-148)/14. Let s be 20/190 + 1827/152 - (-6)/(-48). Solve 10/3 + 16/3*o**3 + 2/3*o**4 + s*o**2 + p*o = 0.
-5, -1
Let q(m) be the second derivative of -5*m**4/48 - 4505*m**3/12 - 4059005*m**2/8 + 1992*m. Find r, g