 Let q(j) be the third derivative of o(j). Solve q(x) = 0.
0, 13
Factor -13*a**2 + 22*a + 12*a**2 - 5*a - 16*a.
-a*(a - 1)
Let i = 136958 - 136955. Find z, given that 0 + 1/8*z**4 - 5/8*z**2 + 1/8*z**i + 3/8*z = 0.
-3, 0, 1
Let h(x) be the third derivative of -x**8/2100 + x**7/175 - 2*x**6/75 + 4*x**5/75 + 2*x**3/3 + 39*x**2. Let m(t) be the first derivative of h(t). Factor m(k).
-4*k*(k - 2)**3/5
Let z(t) be the first derivative of 3/25*t**5 - 24/5*t - 69/10*t**2 - 61 - 21/5*t**3 - 3/4*t**4. Determine s, given that z(s) = 0.
-1, 8
Determine g, given that 2/7*g**2 + 470450/7 - 1940/7*g = 0.
485
Let u = 5233/57079 - 4/5189. Let t(c) be the third derivative of 1/330*c**5 - u*c**3 + 1/66*c**4 + 7*c**2 + 0 + 0*c. Factor t(x).
2*(x - 1)*(x + 3)/11
Let f be 8*6*(6 - 44/8). Find u such that -f - 22 - 4*u**3 - 12*u + 20*u**2 + 44 - 34 = 0.
-1, 3
Let c(d) be the first derivative of 5/12*d**4 - 16 - 2*d - 15/2*d**2 + 5/3*d**3. Let t(s) be the first derivative of c(s). Suppose t(v) = 0. Calculate v.
-3, 1
Suppose -133 = 113*s - 359. Let h(t) be the first derivative of 8/21*t**3 + 27 - 2/7*t**4 + 1/21*t**6 + 0*t - 2/35*t**5 + 0*t**s. Find u such that h(u) = 0.
-2, 0, 1, 2
Suppose -2*j - 24 = -4*u, -55*j + 53*j = u - 6. Factor 0 + 0*q - 1/5*q**4 + j*q**2 + 2*q**3.
-q**3*(q - 10)/5
Suppose 12*r - 22*r + 40 = 0. Suppose -3*p - 9 = h, -5*h + r*p = -0*h - 31. Find d such that 48*d - 2*d**h + 2*d**3 - 68 - 4*d**3 + 132 = 0.
-2, 4
Let o be ((-5483)/4)/(95/(-95)). Let y = 1377 - o. Factor -5*q + y + q**2.
(2*q - 5)**2/4
What is t in 708/11*t**3 - 252/11 + 108/11*t**4 + 144/11*t**2 - 678/11*t - 30/11*t**5 = 0?
-3, -1, -2/5, 1, 7
Let y(z) = -z**3 - 17*z**2 + z + 17. Let q(c) = -c**3 + c**2 + c - 1. Let o = -123 - -122. Let d(h) = o*y(h) + 4*q(h). Factor d(m).
-3*(m - 7)*(m - 1)*(m + 1)
Let v be (-1 + 1)/(7/((-70)/20)). Let d be 62/10 + (-181 - -176). Let v*x**2 - 3/5*x**5 + 0*x - 3/5*x**3 + 0 + d*x**4 = 0. What is x?
0, 1
Let c = -2383857/11 + 216715. Suppose -16/11*z**2 + 14/11*z**4 - 4/11*z**3 - 4/11*z + c*z**5 + 2/11 = 0. What is z?
-1, 1/4, 1
Factor 10631*w + 6127 + 2186 - 3437*w - 9*w**2 - 1116 + 6*w**2.
-3*(w - 2399)*(w + 1)
Let d(u) = -10*u**2 - 38*u + 4. Let v(s) = -51*s**2 - 190*s + 17. Let c(t) = -t**2 - 12*t + 131. Let f be c(-19). Let a(j) = f*v(j) + 11*d(j). Solve a(g) = 0.
-5, 1/4
Let g(p) = -p**4. Let u(o) be the second derivative of o**6/6 - 13*o**5/10 + 11*o**4/6 + 5*o**3/3 - 6*o**2 + 90*o. Let q(y) = -g(y) + u(y). Factor q(w).
2*(w - 3)*(w - 1)**2*(3*w + 2)
Let q = 139 - 164. Let o = -22 - q. Determine i, given that -15*i**3 + 803*i**4 + 3*i**5 - 788*i**4 - o*i**3 = 0.
-6, 0, 1
Factor 629*t**3 + 490 + 464*t - 641*t**3 - 250 + 148*t**2.
-4*(t - 15)*(t + 2)*(3*t + 2)
Let w(l) be the third derivative of -l**6/840 + 37*l**5/280 - 4*l**3 - 87*l**2. Let h(n) be the first derivative of w(n). Suppose h(m) = 0. Calculate m.
0, 37
Let o be ((-26)/13 - (-4)/5)*120/(-72). Let u(t) be the first derivative of 3 + 3/7*t**o + 1/7*t**3 + 3/7*t. Let u(a) = 0. What is a?
-1
Find s, given that 2/3*s**4 - 168*s**2 + 58/3*s**3 + 0*s + 0 = 0.
-36, 0, 7
Let h(v) be the first derivative of 40*v**3 + 3*v**2 - 27 - 12*v - 3*v**2 - 39*v**3. Find w such that h(w) = 0.
-2, 2
Factor 219 + 265 - 4*a**2 - 228*a - 3*a**3 + 7*a**2 + 6*a**3 - 64.
3*(a - 7)*(a - 2)*(a + 10)
Factor -106/3*k**2 + 1/6*k**4 - 19/3*k**3 - 23*k + 129/2.
(k - 43)*(k - 1)*(k + 3)**2/6
Determine g so that 15 - 23/2*g - 4*g**2 + 1/2*g**3 = 0.
-3, 1, 10
Factor 99/2 + 493/4*l - 5/4*l**2.
-(l - 99)*(5*l + 2)/4
Let c(f) = 6*f**3 + 242*f**2 - 244*f + 8. Let v(p) = -13*p**3 - 485*p**2 + 489*p - 18. Let j(g) = -9*c(g) - 4*v(g). Factor j(h).
-2*h*(h - 1)*(h + 120)
Let s(m) be the second derivative of 5*m**5/4 - 85*m**4/3 - 185*m**3/2 + 225*m**2 + 828*m. Factor s(b).
5*(b - 15)*(b + 2)*(5*b - 3)
Let c(y) be the first derivative of y**3/3 + 7*y**2/2 + 10*y - 3365. Let c(w) = 0. What is w?
-5, -2
Let h(u) be the third derivative of u**7/840 + 13*u**6/240 + 53*u**5/60 + 275*u**4/48 + 121*u**3/8 + 613*u**2. Let h(l) = 0. What is l?
-11, -3, -1
Let k(h) be the first derivative of -5/4*h**4 + 32 - 20*h**2 + 0*h - h**5 + 50/3*h**3. Find q such that k(q) = 0.
-4, 0, 1, 2
Suppose -186 = -88*o + 82*o. Factor 69*q**2 + 10*q**3 - 1106*q + 1088*q - o*q**3.
-3*q*(q - 3)*(7*q - 2)
Find u, given that -124/9*u**2 + 4/3 - 368/9*u = 0.
-3, 1/31
Let n be -8 - (-143)/11 - 12/(2808/990). Suppose 2/13*m**2 - n*m + 8/13 = 0. What is m?
1, 4
Let w be (-1 - 402)*(10 - (14 - 7)). Let p be (-1 - w/36) + (-4)/3. Determine f, given that 17/4*f**4 - 1/4*f**5 + p - 53/2*f**3 - 325/4*f + 145/2*f**2 = 0.
1, 5
Let p = 18879 - 18874. Let a(d) be the third derivative of 5/6*d**4 - 39*d**2 + 0 - 1/6*d**p + 0*d - 1/24*d**6 + 20/3*d**3. Factor a(r).
-5*(r - 2)*(r + 2)**2
Let n(a) be the third derivative of -a**5/160 + 619*a**4/16 + 2477*a**3/16 - 13320*a**2. Factor n(m).
-3*(m - 2477)*(m + 1)/8
Let b(v) = -22*v**2 + 16*v - 21. Let g(r) = -5*r**2 + 4*r - 5. Suppose -4*s = 5*y + 51, 0 = y + 1 + 2. Let n(a) = s*g(a) + 2*b(a). Find k such that n(k) = 0.
1, 3
Let b(a) = -4*a**2 + 904*a - 1803. Let u(d) = -d**2 + 181*d - 360. Let m(k) = -2*b(k) + 11*u(k). Let m(g) = 0. Calculate g.
2, 59
Let v(f) = -2*f**3 - f**2 - f - 1. Let b(k) = -3*k**3 + 39*k**2 + 275*k - 1. Let o(a) = 5*b(a) - 5*v(a). Determine q, given that o(q) = 0.
-6, 0, 46
Factor -9*m**3 - 7*m**2 - 25 + 6*m**3 - 21 - 2 - 60 + 168*m.
-(m - 6)*(m + 9)*(3*m - 2)
Suppose -5*h = 34*r - 31*r - 24, 2*h - 2*r = -16. What is o in 9/7*o**3 + 0 + 2/7*o**2 - 4/7*o**5 + 3/7*o**4 + h*o = 0?
-1, -1/4, 0, 2
Let v(c) be the second derivative of c**6/165 - 86*c**5/55 - 349*c**4/66 + 172*c**3/33 + 348*c**2/11 - 24*c - 32. Solve v(i) = 0.
-2, -1, 1, 174
Let n(o) be the third derivative of 1452*o**5/5 - 22*o**4 + 2*o**3/3 - 12*o**2 + 4. Factor n(p).
4*(66*p - 1)**2
Let l(o) = -19*o**4 - 128*o**3 - 373*o**2 + 8*o + 484. Let p(b) = -42*b**4 - 255*b**3 - 747*b**2 + 15*b + 966. Let f(y) = -9*l(y) + 4*p(y). Factor f(t).
3*(t - 1)*(t + 2)**2*(t + 41)
Let r(u) be the second derivative of u**4/48 - 235*u**3/2 + 497025*u**2/2 + 2373*u. Solve r(n) = 0.
1410
Let b(z) be the first derivative of 79 - 12/7*z**2 - 2/21*z**3 - 22/7*z. Factor b(g).
-2*(g + 1)*(g + 11)/7
Let f(y) be the second derivative of -3*y**5/80 - 43*y**4/4 + 170*y + 8. Factor f(r).
-3*r**2*(r + 172)/4
What is h in 0 - 1/9*h**5 - 11/9*h**4 - 2*h**3 + 24*h + 12*h**2 = 0?
-6, -2, 0, 3
Let y = 171 - 227. Let i be (-16)/(-3) + y/14. Find q such that -20/3*q - 8 - i*q**2 = 0.
-3, -2
Suppose 0 = -5*v - 5*j + 3 + 12, 0 = 2*j - 2. Suppose 5*t + v*x = 2, 3 - 7 = 2*t - 4*x. Determine d so that t*d**3 + 0*d + 4/9*d**4 - 16/9*d**2 + 0 = 0.
-2, 0, 2
Let d(r) = -r**2 - 2338*r - 1352578. Let j(w) = w**2 + 2334*w + 1352575. Let s(o) = 2*d(o) + 3*j(o). Suppose s(p) = 0. What is p?
-1163
Let u(d) be the first derivative of 56/3*d**2 - 314 - 8*d - 98/9*d**3. Factor u(x).
-2*(7*x - 6)*(7*x - 2)/3
Let h(z) be the second derivative of 1825*z**4/72 - 5*z**3/9 + 7155*z. Factor h(q).
5*q*(365*q - 4)/6
Find l such that 2*l**2 - 5762246 + 5762246 - 114*l = 0.
0, 57
Solve 5910*q + 11319*q + 15772 + 10472 + 2772*q + 6891*q + 652*q**2 + 4*q**3 = 0.
-81, -1
Let b be 12/(-15)*(-3)/(-12)*10. Let c be ((-8)/(-6))/(1 + b/3). Factor 2*h - 11*h**3 + 4*h**2 + 48*h**c - 17*h**3 - 2*h.
4*h**2*(3*h - 1)*(4*h - 1)
Let i = -21 - -19. Let q(g) = -g**3 + g - 2. Let y be q(i). What is h in -h**3 + y - 8 - 3*h**2 + 4 + 4*h = 0?
-4, 0, 1
Let k(p) be the third derivative of p**7/8820 - p**6/840 + 27*p**4/8 - 4*p**2 + 4*p. Let j(v) be the second derivative of k(v). Determine f so that j(f) = 0.
0, 3
Factor -138/5*h**3 - 72/5*h**4 - 2/5*h**5 + 0*h + 0 - 68/5*h**2.
-2*h**2*(h + 1)**2*(h + 34)/5
Let u(d) be the second derivative of 2 + 36*d + 1/3*d**4 - 6*d**3 + 0*d**2. Find z, given that u(z) = 0.
0, 9
Let s(a) = -15*a - 221. Let k be s(-15). Let r(o) be the first derivative of 12 + 3/10*o**k + 2/5*o**3 + 1/5*o**2 + 2/25*o**5 + 0*o. Let r(y) = 0. Calculate y.
-1, 0
Let p(y) be the third derivative of y**6/420 - 41*y**5/210 + 38*y**4/21 - 148*y**3/21 + 1273*y**2. Let p(u) = 0. Calculate u.
2, 37
Let o(h) be the first derivative of -h**5/240 + h**4/96 + h**3/12 + h**2 + 2*h + 2. Let l(z) be the second derivative of o