s**3 = 0. What is s?
0, 13
Let h(s) = -23*s**2 - 4*s + 49. Let n be h(5). Let c be (39/n)/((-1)/7). Let c*u**3 - 3/2*u**2 + 0 + u = 0. What is u?
0, 1, 2
Suppose 19*s - 24*s = -1550. Let p = s - 2788/9. Factor 0 + 4/3*i**3 + 2/9*i - 8/9*i**4 + p*i**5 - 8/9*i**2.
2*i*(i - 1)**4/9
Let p(m) be the second derivative of 0*m**2 - 1/57*m**4 - 5/19*m**3 - 66*m + 0 + 1/190*m**5. Factor p(k).
2*k*(k - 5)*(k + 3)/19
Let a(l) be the third derivative of l**8/12600 - l**7/2520 + l**6/1800 - 47*l**5/60 + 73*l**2 + 2. Let t(s) be the third derivative of a(s). Factor t(y).
2*(y - 1)*(4*y - 1)/5
Suppose o + 3 = -1, 0 = 2*b - 2*o - 44. Suppose b*l = 16*l + 10. Solve l*c - 3*c + 3*c**3 + 0*c**2 + 5*c**2 + c**3 + c**4 = 0.
-2, -1, 0
Let y(n) be the first derivative of n**4/10 + 56*n**3/15 - 29*n**2/5 - 6111. Factor y(p).
2*p*(p - 1)*(p + 29)/5
Factor 3/5*m**4 - 3159/5*m**2 - 1944 - 9639/5*m - 333/5*m**3.
3*(m - 120)*(m + 3)**3/5
Let s(o) be the first derivative of o**4/20 - 599*o**3/15 + 89999*o**2/10 - 89401*o/5 - 1088. Solve s(t) = 0.
1, 299
Let u(g) be the first derivative of -178 - 5*g**4 + 0*g + 10*g**2 - 5/3*g**3 + g**5. Let u(p) = 0. Calculate p.
-1, 0, 1, 4
Suppose d - 5*o + 23 = 0, 0 = -d - o - 848 + 855. Solve -4 + 24/5*z - 4/5*z**d = 0.
1, 5
Let x(y) be the second derivative of 3*y**4/5 + 11236*y**3/15 + 2496*y**2/5 + 40*y + 19. Determine l so that x(l) = 0.
-624, -2/9
Factor 121/6*t**4 + 22*t**3 + 0 + 0*t + 6*t**2.
t**2*(11*t + 6)**2/6
Let q = -56112/247 + 4632/19. Let -120/13*b**4 - 22*b**3 - 54/13*b - 4/13 - q*b**2 = 0. Calculate b.
-1, -1/4, -2/15
Let i be ((-24)/(-33))/(124/682). Let a(q) be the first derivative of -4*q**2 - i*q + 1/6*q**6 - 1/3*q**3 + q**5 + 26 + 7/4*q**4. Suppose a(j) = 0. What is j?
-2, -1, 1
Let s = -378281 + 3404596/9. Factor 17/9 - 4/9*f**2 - s*f.
-(f + 17)*(4*f - 1)/9
Let o(g) = -g**3 + 4*g**2 - 3*g + 1. Suppose -8 - 8 = -8*k. Let r be o(k). Factor -5*w**4 - 4*w**r - 4*w**2 - 12*w**3 - w**5 + 8*w**3.
-w**2*(w + 1)*(w + 2)**2
Let p be (1908/66144)/(14/8 - 1). Let c(k) be the first derivative of 4/39*k**3 + p*k**4 + 0*k + 1/13*k**2 - 3. Factor c(u).
2*u*(u + 1)**2/13
Let i = 41/160 + -9/160. Let z(v) be the first derivative of 2*v - 1/3*v**3 + 3/4*v**4 - 3/2*v**2 - i*v**5 - 3. Factor z(q).
-(q - 2)*(q - 1)**2*(q + 1)
Let i(m) = m**3 - 39*m**2 - 81*m - 76. Let r be i(41). Let x be 3 + 3/(-6)*(-130)/r. Find o, given that 10/7*o**3 - x - 16/7*o + 2*o**2 = 0.
-2, -2/5, 1
Let n(r) be the second derivative of 0*r**2 + 7*r + 0*r**4 + 0*r**6 + 5/42*r**7 + 0*r**3 - 1/4*r**5 + 0. Factor n(g).
5*g**3*(g - 1)*(g + 1)
Suppose 598 = -13*t + 364. Let k be (t/21)/((-120)/(-35) - 5). What is n in -6/11*n**3 + k*n**2 + 12/11*n + 0 = 0?
-1, 0, 2
Let w(g) be the second derivative of 69*g**6/35 + 33*g**5/70 - 29*g**4/21 + 8*g**3/21 + 12*g - 18. Let w(h) = 0. What is h?
-2/3, 0, 4/23, 1/3
Let -2*h**2 + 14*h**2 + 5*h**2 + 8*h**2 - 14*h - 2*h = 0. What is h?
0, 16/25
Factor 19*b**2 + 2*b**3 - 2*b**2 - 73*b**2 + 20*b**2 - 104 + 138*b.
2*(b - 13)*(b - 4)*(b - 1)
Let u be (-2)/(-5*4/80). Factor -37*m - m**2 + 41*m - u - 10*m.
-(m + 2)*(m + 4)
Factor -129*l + 19*l**2 + 104*l**3 + 207 + 104*l**3 - 211*l**3 - 94*l**2.
-3*(l - 1)*(l + 3)*(l + 23)
Let h = 4/287 - -167/8610. Let w(z) be the second derivative of 22*z + h*z**4 + 1/225*z**6 + 0 + 0*z**2 + 1/45*z**3 + 1/50*z**5. Factor w(n).
2*n*(n + 1)**3/15
Let r(x) be the second derivative of -x**6/45 + 13*x**5/10 - 239*x**4/18 + 163*x**3/3 - 96*x**2 + 171*x + 4. Determine n so that r(n) = 0.
1, 3, 32
Let a(j) be the second derivative of 28/3*j**3 + 16/15*j**6 + 3*j**2 - 4*j + 27/2*j**4 - 9 + 36/5*j**5. Determine r so that a(r) = 0.
-3, -1, -1/4
Let z(f) = -4*f**4 - f**3 + 2*f. Let l(d) = -12*d**4 + 1334*d**3 + 10880*d**2 + 21892*d. Let s(u) = l(u) - 2*z(u). Solve s(k) = 0.
-4, 0, 342
Let w(d) be the third derivative of -d**6/420 - 3*d**5/35 + 19*d**4/84 - 354*d**2. Factor w(h).
-2*h*(h - 1)*(h + 19)/7
Factor -x**2 + 1327*x - 3034564 + 1243*x - 1160*x + 2074*x.
-(x - 1742)**2
Suppose -98*q = -95*q - 39, 3*c - 251 = q. Let -384 - 2024/3*u**2 - 1216*u - 10/3*u**4 - c*u**3 = 0. Calculate u.
-12, -2, -2/5
Factor -24*y**3 + 2/19*y**4 + 25064/19*y**2 + 107648/19 + 5568*y.
2*(y - 116)**2*(y + 2)**2/19
Find w, given that -879 + 877/2*w + 1/2*w**2 = 0.
-879, 2
Let l(x) be the first derivative of -2/5*x**3 - 3/20*x**4 + 6/5*x + 84 + 3/10*x**2. Factor l(g).
-3*(g - 1)*(g + 1)*(g + 2)/5
Factor 2/3*n**3 - 1/3*n + 0*n**2 + 0*n**4 - 1/3*n**5 + 0.
-n*(n - 1)**2*(n + 1)**2/3
Let x(q) be the first derivative of -q**6/9 + 169*q**5/15 + 1343*q**4/12 + 3371*q**3/9 + 1009*q**2/2 + 276*q - 773. What is v in x(v) = 0?
-3, -1, -1/2, 92
Let h(t) be the first derivative of -t**7/630 - t**6/180 + t**5/180 + t**4/36 - 107*t**2/2 - 98. Let p(f) be the second derivative of h(f). Factor p(m).
-m*(m - 1)*(m + 1)*(m + 2)/3
Let t(r) = 38*r**3 - 152*r**2 + 24*r + 36. Let o(d) = -2*d**3 + 7*d - 2. Let s(h) = -36*o(h) - 2*t(h). Find l such that s(l) = 0.
0, 1, 75
Let t(r) be the second derivative of 0 - 4*r**2 - 4*r + 0*r**4 + 2*r**3 - 1/5*r**5. Factor t(p).
-4*(p - 1)**2*(p + 2)
Suppose 73*v**2 - 51*v**4 - 2*v**5 - 102 + 59*v**2 + 76*v**3 - 52*v - 22*v + 21*v**4 = 0. What is v?
-17, -1, 1, 3
Let m(b) = -5*b**2 - 6*b + 3. Let z(y) = 6*y**2 + 6*y - 4. Let p = 30 + -28. Suppose 2*n - 12 = -p*n. Let g(r) = n*z(r) + 4*m(r). Factor g(j).
-2*j*(j + 3)
Let r(a) be the first derivative of 2*a**3/3 + 2192*a**2 + 2402432*a - 3483. Factor r(x).
2*(x + 1096)**2
Suppose 0 = -3*q - 12, -4*t + 5*q + 24 = 4*q. Suppose 0 = -t*u + 4 + 6. Factor -32 - 11*z**2 + 30*z - 13 + 6*z**u.
-5*(z - 3)**2
Let f(m) be the third derivative of m**5/270 + 311*m**4/54 + 96721*m**3/27 - 17*m**2. Factor f(t).
2*(t + 311)**2/9
Let i(l) be the first derivative of -26/7*l + 56 - 10/7*l**3 + 27/7*l**2 + 1/14*l**4. Factor i(f).
2*(f - 13)*(f - 1)**2/7
Let u(v) be the first derivative of -v**4/28 + v**2/14 + 3177. Find b such that u(b) = 0.
-1, 0, 1
Let f(g) be the first derivative of -4*g**3/9 + 676*g/3 + 4343. Factor f(c).
-4*(c - 13)*(c + 13)/3
Let -128/3*v**3 + 32/3*v + 0 + 7*v**4 - 108*v**2 = 0. Calculate v.
-2, 0, 2/21, 8
Let z(p) be the third derivative of -p**7/105 - p**6/20 + 3*p**5/5 + 8*p**4/3 - 32*p**3 + 1129*p**2. Factor z(j).
-2*(j - 3)*(j - 2)*(j + 4)**2
Let d(n) be the first derivative of -12 - 3/8*n**4 + 2*n**3 + 15/4*n**2 + 0*n. Find j such that d(j) = 0.
-1, 0, 5
Let z(b) be the first derivative of b**5/80 + b**4/16 - b**2/2 + 77*b - 23. Let u(p) be the first derivative of z(p). Determine t so that u(t) = 0.
-2, 1
Let a(t) = 34*t - 3207. Let l be a(95). Let s(m) be the first derivative of -2/3*m**3 - 16*m - 9*m**2 - l. Factor s(q).
-2*(q + 1)*(q + 8)
Let j be (-908)/(-20) + -11 - 6/(-10). Find a, given that -19*a - j*a - 25*a - 4*a**2 + 59*a = 0.
-5, 0
Let f = -559389 + 559394. Let -1/2*m**2 - 8 + f*m = 0. Calculate m.
2, 8
Let w(o) = -5*o**3 - 9158*o**2 - 30758408*o - 32829478412. Let b(p) = -p**3 + 112*p**2 + p - 1. Let q(t) = 4*b(t) - w(t). Factor q(n).
(n + 3202)**3
Factor 4 - 3*m + 1/2*m**2.
(m - 4)*(m - 2)/2
Let d be -15 + -10 + -5 + (-1134)/(-28). What is t in 19/2*t**2 + d - 41/2*t + 1/2*t**3 = 0?
-21, 1
Let j(c) = -2*c**3 + c**2 - 3*c - 2. Let d(r) = 2*r**3 - 308*r**2 + 626*r + 4. Let n(t) = 2*d(t) + 4*j(t). Determine s so that n(s) = 0.
-155, 0, 2
Factor -68921/2 - 123/2*a**2 + 5043/2*a + 1/2*a**3.
(a - 41)**3/2
Let v(w) be the third derivative of -w**8/336 - w**7/30 + w**6/12 + 19*w**5/15 - 5*w**4 + w**2 + 29*w + 1. Factor v(s).
-s*(s - 2)**2*(s + 5)*(s + 6)
Let z = -2064 - -1157. Let g = 911 + z. Find v such that -8/3 - 122/3*v**2 + 112/3*v**g - 50/3*v**3 - 32/3*v**5 + 64/3*v = 0.
-1, 1/4, 2
Let m be (4/(-2))/(((-3)/4)/(-23 - (-6369)/264)). Let -8 - 2/7*y**m - 64/7*y - 22/7*y**2 = 0. What is y?
-7, -2
Let 5*c + 0 - 1/5*c**3 + 24/5*c**2 = 0. What is c?
-1, 0, 25
Let t be 1/18*285/76. Let x(n) be the third derivative of 0*n**5 + 0 + 0*n - 10*n**2 - t*n**4 + 0*n**3 + 1/24*n**6. Factor x(z).
5*z*(z - 1)*(z + 1)
Let v(z) = 3*z**2 + 446*z + 298. Let s be v(-148). Suppose -43/4*d**s - 11/4*d + 1 - 5/2*d**3 = 0. Calculate d.
-4, -1/2, 1/5
Let j(i) be the first derivative of i**5/5 - 29*i**4/4 + 50*i**3/3 + 58*i**2 - 216*i - 2022. Suppose j(c) = 0. What is c?
-2,