4 - 19*g**5 = 0. Calculate g.
-2, -1, 0, 1
Let j be (-40)/(-6)*26*33/1144. Let a(w) be the third derivative of 0 + 0*w**3 + 14*w**2 + 1/280*w**6 + 13/420*w**j + 1/42*w**4 + 0*w. Factor a(s).
s*(s + 4)*(3*s + 1)/7
Let 0 + 25/2*w**2 - 14*w - 13/4*w**3 + 1/4*w**4 = 0. Calculate w.
0, 2, 4, 7
What is n in 46*n - 3/5*n**3 + 136/5 + 37/5*n**2 = 0?
-4, -2/3, 17
Let w(l) be the third derivative of 5*l**7/21 + 17*l**6/10 + 18*l**5/5 + 2*l**4/3 + l**2 - 17*l - 109. Solve w(g) = 0.
-2, -2/25, 0
Let j(k) = k**2 + 7*k - 1. Let d(u) = 9*u**2 + 116*u - 333. Let a(x) = -3*d(x) + 24*j(x). Solve a(n) = 0 for n.
-65, 5
Let o = 7/495 - -818/495. Let v(g) be the first derivative of 0*g + 2 - 1/3*g**5 - 5/3*g**2 + o*g**3 + 0*g**4. Determine p so that v(p) = 0.
-2, 0, 1
Let g(p) = 5*p**3 + 635*p**2 + 17*p + 2161. Let l be g(-127). Suppose -13 = -3*a + 5. Determine n so that 40/3*n - a*n**l - 8/3 = 0.
2/9, 2
Let f(y) = -y**4 - 8*y**3 + y**2 + 7*y + 1. Suppose -2*u + m - 6 = 3*u, 0 = 4*u - 2*m. Let b(t) = t - 1. Let l(n) = u*f(n) - 2*b(n). Factor l(k).
2*k*(k - 1)*(k + 1)*(k + 8)
Suppose -169*h - 19*h = 0. Let s(p) be the second derivative of 1/225*p**6 + 1/5*p**2 - 2/9*p**3 + h + 2/15*p**4 - 1/25*p**5 - 12*p. Factor s(i).
2*(i - 3)*(i - 1)**3/15
Let r(u) be the first derivative of 16 - 13/2*u**2 + 3*u + 37/12*u**3 - 7/16*u**4. What is w in r(w) = 0?
2/7, 2, 3
Let t(c) be the second derivative of c**5/3 - 19*c**4/18 + c**3 - 348*c + 1. Factor t(w).
2*w*(w - 1)*(10*w - 9)/3
Let y = 39 + -40. Let h = 3 + y. Let 18*n**h + 12 + 13*n**2 + 15*n**2 - 12*n - 43*n**2 = 0. Calculate n.
2
Let x(l) be the third derivative of 2 + 1/105*l**7 - 7/6*l**4 + 17*l**2 - 19/30*l**5 - 1/15*l**6 + 0*l + 0*l**3. Factor x(b).
2*b*(b - 7)*(b + 1)*(b + 2)
Let i(r) be the second derivative of -7*r**6/75 - 1097*r**5/50 + 799*r**4/5 - 5788*r**3/15 + 1288*r**2/5 - 1678*r. What is n in i(n) = 0?
-161, 2/7, 2
Let t(f) be the first derivative of f**5/510 - 2*f**4/51 + 4*f**3/17 - 54*f**2 - 131. Let p(c) be the second derivative of t(c). What is a in p(a) = 0?
2, 6
Let l = 263675/2 + -131833. Let -1/8*k**4 + l*k**2 + 19/4*k + 13/8 + 5/4*k**3 = 0. What is k?
-1, 13
Let y be (-8 - 4)*(5325/(-120) - -44). Factor y*a**4 + 0 - 3/4*a**5 - 3*a + 9*a**2 - 39/4*a**3.
-3*a*(a - 2)**2*(a - 1)**2/4
Suppose -9673*i = -9701*i + 168. Let x(q) be the third derivative of 18*q**2 + 0 + 0*q**4 + 0*q + 1/30*q**5 + 0*q**3 + 1/120*q**i. Factor x(r).
r**2*(r + 2)
Let r be ((-124)/(-32) - 4) + 38795/88. Let y = -440 + r. Factor y - 8/11*a + 2/11*a**2.
2*(a - 2)**2/11
Let z = 903115/9 + -100339. Find h, given that 0 - 4/9*h**3 + 0*h + z*h**2 = 0.
0, 16
Let v(r) be the second derivative of -2*r**6/15 - 2*r**5 + 23*r**4/3 + 160*r**3 - 1152*r**2 - 734*r. Factor v(q).
-4*(q - 3)**2*(q + 8)**2
Suppose 331*l - 317*l = 322. Suppose -13*k + 81 = -l. Solve -k*u**2 - 16/3*u - 4/3 - 16/3*u**3 - 4/3*u**4 = 0.
-1
Let h(z) be the second derivative of -2*z**7/105 - 19*z**6/150 - 6*z**5/25 - 3*z**4/20 + 13562*z. What is c in h(c) = 0?
-3, -1, -3/4, 0
Find f, given that -464/9*f + 70*f**2 - 18*f**3 + 32/3 = 0.
4/9, 3
Let x(o) be the third derivative of -o**7/210 - o**6/24 + o**5/15 + 11*o**4/6 + 8*o**3 + 3400*o**2. Factor x(j).
-(j - 3)*(j + 2)**2*(j + 4)
Let -2/17*f**2 - 2/17*f + 12/17 = 0. Calculate f.
-3, 2
Let m = 1597 + 2473. Factor -3*h**2 - m*h + 90 + 2020*h + 2029*h.
-3*(h - 3)*(h + 10)
Let g(s) be the first derivative of 0*s**2 - 1/4*s**5 - 16/3*s**3 + 1/72*s**6 + 0*s + 15/8*s**4 - 8. Let d(u) be the third derivative of g(u). Factor d(c).
5*(c - 3)**2
Let i(f) be the second derivative of -7*f**6/40 + 81*f**5/40 + f**4 + f + 683. Factor i(t).
-3*t**2*(t - 8)*(7*t + 2)/4
Suppose -2*m + 185 = 157. Let j(r) = 2*r**4 - 2*r**2 - 3*r - 6. Let v(t) = 4*t**4 - 4*t**2 - 7*t - 14. Let q(l) = m*j(l) - 6*v(l). Factor q(d).
4*d**2*(d - 1)*(d + 1)
Let j = 308 + -312. Let y be (3 - 16/5)*12/j. Factor -3/5*k**4 + 0*k + 0 + 6/5*k**3 - y*k**2.
-3*k**2*(k - 1)**2/5
Let t be 114/(-18) + 6 + 4438/3. Factor -81*q**3 - 777*q - 17 - t*q - 303 - 115*q**3 - 4032*q**2.
-4*(q + 20)*(7*q + 2)**2
Let a = 146 - 96. Let -7*i + 4*i + 3*i + 2*i**3 + a*i**2 = 0. What is i?
-25, 0
Let j(o) be the second derivative of -o**5/4 + 65*o**4/4 - 125*o**3/2 + 185*o**2/2 - 376*o. Factor j(r).
-5*(r - 37)*(r - 1)**2
Let c(w) = 15*w**5 + 255*w**4 + 465*w**3 - 33. Let r(j) = 0*j**3 - 4*j**4 + 2 - 12*j**4 - j**5 - 29*j**3. Let g(k) = -2*c(k) - 33*r(k). Factor g(q).
3*q**3*(q + 3)**2
Let f be 59/5 - (-20)/100. Let c(w) = -w**3 - 7*w**2 + 6*w + 2. Let b(g) = 3*g**3 + 18*g**2 - 15*g - 6. Let m(d) = f*c(d) + 5*b(d). What is y in m(y) = 0?
-2, -1, 1
Let h(o) = -o**3 + 7*o**2 + 19*o - 7. Let l = 109 - 100. Let s be h(l). Factor 3*q**5 + 2*q**5 + s*q**4 + 3*q**5 - 4*q**3 - 6*q**5.
2*q**3*(q - 1)*(q + 2)
Let q be (-3)/(-2)*(-36)/(-27). Let x = -1071277 + 1071277. Let -10/9*v**q + x + 8/9*v + 2/9*v**3 = 0. Calculate v.
0, 1, 4
Let w(n) be the second derivative of 2*n**6/15 - 134*n**5/5 + 133*n**4/3 - 9029*n. Suppose w(l) = 0. What is l?
0, 1, 133
Let c(d) be the second derivative of -d**7/77 - 4*d**6/165 + 8*d**5/55 - d**4/33 - 13*d**3/33 + 6*d**2/11 + 977*d. Determine o, given that c(o) = 0.
-3, -1, 2/3, 1
Let o(v) be the second derivative of 9/8*v**2 - 1/4*v**3 + 1/48*v**4 + 6 + v. Solve o(w) = 0.
3
Let d(z) = -5*z**2 + 727*z - 281. Let v be d(145). Let i(l) be the first derivative of -v + 25/11*l**2 + 18/11*l**3 - 4/11*l. Factor i(p).
2*(p + 1)*(27*p - 2)/11
Factor -216 - 1/4*a**2 - 75/2*a.
-(a + 6)*(a + 144)/4
Let l be (24/(-45))/(-3*100/60 + (-105)/(-25)). Factor -l*j**3 + 52/3*j**2 + 192 - 128*j.
-2*(j - 12)**2*(j - 2)/3
Let f(z) be the first derivative of -50*z**3/7 + 40*z**2/7 - 32*z/21 - 5442. Determine x, given that f(x) = 0.
4/15
Suppose 0 = -20*f + 27*f + 210. Let x be 5/f - 150/(-144). Determine h so that -x*h + 1/4 - 7/8*h**5 + 1/4*h**4 - 1/2*h**2 + 7/4*h**3 = 0.
-1, 2/7, 1
Let n(g) be the first derivative of -14 - 11/12*g**4 + 0*g + 1/15*g**5 + 8/3*g**3 + 6*g**2. Determine c, given that n(c) = 0.
-1, 0, 6
Let j = 129982/27861 + 12/9287. Suppose 8/3 - 40/3*c - j*c**4 + 18*c**2 - 14/3*c**3 + 2*c**5 = 0. What is c?
-2, 1/3, 1, 2
Determine g so that 2/11*g**2 - 12/11 + 2/11*g = 0.
-3, 2
Let s be (-27)/12 + 3/12. Let b be s/(((-4)/6)/(4/6)). Factor 0*w + 1/2*w**b + 0.
w**2/2
Suppose 0 = u - 6*s - 32, 30 = -u - 5*s + 7. Let n(h) be the second derivative of 3/80*h**5 + 0 - 5/24*h**3 - 1/12*h**4 - 31*h + 1/4*h**u. Factor n(d).
(d - 2)*(d + 1)*(3*d - 1)/4
Let s(m) be the second derivative of 172*m + 0 + 54/5*m**2 - 7*m**3 + 8/5*m**4 + 3/50*m**5. Suppose s(f) = 0. Calculate f.
-18, 1
Let r(a) = 5*a**2 + 4*a. Let d(h) = 6*h**2 - 4328*h. Let i(c) = -d(c) + 2*r(c). Factor i(l).
4*l*(l + 1084)
Let a be 78/15 + -2 + 0. Let c = 208/145 - -24/145. Suppose c*q**4 - a*q**2 - 4/5*q**5 + 0 - 16/5*q + 12/5*q**3 = 0. Calculate q.
-1, 0, 2
Let s(q) be the third derivative of 5/8*q**4 + 22/3*q**3 + 0 - q + 17*q**2 + 1/60*q**5. Factor s(r).
(r + 4)*(r + 11)
Let p be 11/990*762 - (-24)/(-36). Factor 3/5*z**3 - 36/5 - p*z + 0*z**2.
3*(z - 4)*(z + 1)*(z + 3)/5
Let 0 + 14/5*i**3 + 0*i - 1/5*i**4 + 51/5*i**2 = 0. Calculate i.
-3, 0, 17
Suppose -7*o**4 + 9*o**2 + 7075*o**5 + 39*o**3 - 7076*o**5 + 2*o**4 - 162*o = 0. Calculate o.
-9, -2, 0, 3
Let y be (-12246)/(-14915) + 4/(-190). Suppose -3/5*w**2 - 1/5*w**3 + 0 + y*w = 0. Calculate w.
-4, 0, 1
Let u(g) be the first derivative of g**6/21 - 2*g**5/7 - 3*g**4 - 152*g**3/21 - 40*g**2/7 - 742. Let u(n) = 0. What is n?
-2, -1, 0, 10
Determine t so that -24/5*t**3 + 126/5*t**2 - 3/5*t**4 + 216/5*t - 891/5 = 0.
-11, -3, 3
Find n, given that -282/17*n**3 + 40/17*n**4 + 254/17*n**2 - 12/17*n + 0 = 0.
0, 1/20, 1, 6
Let q = 68373 + -615350/9. Factor -q*m - 2/9*m**2 + 5/3.
-(m + 5)*(2*m - 3)/9
Let c = 1497/10 + -8977/60. Let v(m) be the third derivative of 0*m**5 - c*m**3 - 14*m**2 + 1/420*m**7 - 1/120*m**6 + 0 + 0*m + 1/24*m**4. Solve v(n) = 0 for n.
-1, 1
Let q(p) be the first derivative of -3*p**4/8 + 11*p**3 + 525*p**2/4 - 294*p + 1896. Solve q(k) = 0 for k.
-7, 1, 28
Find r, given that 17*r**2 + 3*r**4 - 11*r**2 - 7*r**4 + r**5 + 21461*r**3 - 3*r - 2*r**2 - 21459*r**3 = 0.
-1, 0, 1, 3
Let r(w) be the third derivative of -w**6/300 + 7*w**5/75 - 13*w**4/12 + 20*w