 the third derivative of 0 - 1/390*n**5 + 0*n - 8/39*n**3 - 3/52*n**4 - 31*n**l. Factor w(z).
-2*(z + 1)*(z + 8)/13
Let -268/3*a + 2/3*a**2 + 176 = 0. What is a?
2, 132
Suppose -7/3*j**2 + 20/9 - 8/3*j - 1/3*j**4 + 20/9*j**3 = 0. What is j?
-1, 2/3, 2, 5
Suppose 114*t + 104*t = 0. Let m(k) be the first derivative of t*k**2 - 1/15*k**3 + 22 - 1/20*k**4 + 0*k. Factor m(s).
-s**2*(s + 1)/5
Let x(n) be the first derivative of -2*n**4/9 + 950*n**3/27 + 119*n**2/9 + 1501. Factor x(k).
-2*k*(k - 119)*(4*k + 1)/9
Let n(f) = -29*f**2 - 5325*f + 1172177. Let b(s) = 8*s**2 + 1774*s - 390726. Let x(h) = 7*b(h) + 2*n(h). Determine j, given that x(j) = 0.
442
Let x = -514272 + 514274. Factor 3/8*n**x - 21/4*n + 147/8.
3*(n - 7)**2/8
Suppose -4681/4*y**2 - 61*y - 14415/2*y**3 - 1 = 0. What is y?
-2/31, -1/30
Determine s, given that 71/4*s - 25/4*s**3 + 3/2 - 13*s**2 = 0.
-3, -2/25, 1
Let r(g) = 9*g**2 - 216*g + 2416. Let d(c) = -10*c**2 + 211*c - 2415 - 55*c + 59*c. Let a(y) = -4*d(y) - 5*r(y). What is f in a(f) = 0?
22
Let l(w) = -23*w**2 - 140*w - 17. Let z(q) = -7*q**2 - 2*q + 1. Let u(d) = 2*l(d) - 10*z(d). Find r, given that u(r) = 0.
-1/6, 11
Let i(b) be the third derivative of -b**8/560 - 21*b**7/50 + 1881*b**2. Factor i(m).
-3*m**4*(m + 147)/5
Solve 91/2*f**2 - 1/4*f**3 + 11616 - 2200*f = 0.
6, 88
Solve -720 + 184*m - 85*m**2 + 277*m + 36*m**3 - 21*m - 31*m**3 = 0.
4, 9
Let i(b) be the first derivative of b**5/5 + 65*b**4/6 - 383*b**3/9 - 347*b**2/3 - 184*b/3 + 4436. Determine n, given that i(n) = 0.
-46, -1, -1/3, 4
Factor 381*o**3 - 137*o**4 + 62*o + 2451*o**5 + 120*o - 411*o**2 - 1225*o**5 - 1217*o**5 - 24.
(o - 12)*(o - 1)**3*(9*o - 2)
Let n(z) = -17*z**2 - 43*z - 26. Let g(w) = 8*w**2 + 22*w + 14. Let b be -1 + 4/16 + (-25)/4. Let t(p) = b*g(p) - 3*n(p). Find l, given that t(l) = 0.
-4, -1
Find d such that 2*d**3 - 52*d + 23*d - 6*d**2 + 48*d - 39*d = 0.
-2, 0, 5
Determine s so that -316/5 - 788/5*s + s**2 = 0.
-2/5, 158
Let f(m) be the first derivative of -4*m**5/5 + 5*m**4 + 20*m**3/3 - 90*m**2 + 144*m + 1950. Suppose f(i) = 0. What is i?
-3, 1, 3, 4
Let p(j) = 194*j**2 - 32*j + 38. Let s(h) = -233*h**2 + 31*h - 38. Let c(l) = -6*p(l) - 5*s(l). Determine w, given that c(w) = 0.
-38, 1
Factor -539/5*b + 14*b**2 + 106/5*b**3 + 343/5 + 19/5*b**4 + 1/5*b**5.
(b - 1)**2*(b + 7)**3/5
Let m(u) = u**3 - u**2 - 4*u + 4. Let n be m(0). Let w(i) be the second derivative of 18*i**2 + 4*i**3 + 1/3*i**n + 5*i + 0. Factor w(z).
4*(z + 3)**2
Factor 75*u**4 + 29170*u**3 - 5*u**5 - 14570*u**3 - 14730*u**3 - 10*u**2 - 65 + 135*u.
-5*(u - 13)*(u - 1)**3*(u + 1)
Let c be (0/5)/(-9) - (-2 - 1). Let w(q) be the first derivative of 7 - 5/2*q**2 + 6*q + 1/3*q**c. Suppose w(n) = 0. What is n?
2, 3
Let k(o) be the third derivative of o**5/15 - o**4/24 - o**3/2 + 9*o**2. Let h be k(-2). Factor -h + 26*j + 15*j + 26*j + 12*j**3 - 79*j - 3*j**4 + 18*j**2.
-3*(j - 5)*(j - 1)*(j + 1)**2
Suppose -20*k + 845 = -55. Let j be 66/k*72/132. Factor -3/5*f**2 - 1/5*f**4 + 4/5*f**3 + j - 4/5*f.
-(f - 2)**2*(f - 1)*(f + 1)/5
Let k(g) be the third derivative of -g**5/12 - 19435*g**4/12 - 75543845*g**3/6 + 1103*g**2 + 2. Factor k(x).
-5*(x + 3887)**2
Let d(l) be the third derivative of 5/6*l**4 + 303*l**2 + 0 - 4*l**3 + 1/15*l**5 + 0*l. Find p such that d(p) = 0.
-6, 1
Factor 3/7*t**4 + 0 + 18/7*t**3 - 3/7*t**2 - 18/7*t.
3*t*(t - 1)*(t + 1)*(t + 6)/7
Suppose 4*q - 4*z - 456 = 0, -3*q + z = -4*q + 122. Let y = q - 110. Determine h so that 13*h**2 - 15*h + 6*h - 11*h - y*h**2 = 0.
0, 4
Suppose -370*h = -1024*h - 2260*h - 2613*h + 11054. Find z such that 36*z + 972 + 1/3*z**h = 0.
-54
Suppose -17*l + 4030 - 698 = 0. Let u = l - 194. Let 1/2*z**3 + 0 + 0*z**u - 1/2*z = 0. What is z?
-1, 0, 1
Let p(z) = -3*z**2 - 775*z - 5790. Let y(h) = -5*h**2 - 1550*h - 11565. Let t(k) = 15*p(k) - 8*y(k). Factor t(g).
-5*(g - 162)*(g + 7)
Let t = -260251 - -260255. Find m, given that 6/7*m**5 + 0 - 26/7*m**t + 4/7*m - 22/7*m**2 + 38/7*m**3 = 0.
0, 1/3, 1, 2
Suppose -1 = 5*m - 2*a, -4*m = a - 1 - 6. Suppose 4*d = -4*w + 12, 0 = w - 18*d + 15*d + m. Let w*u**2 + 0*u - 8/3 - 2/3*u**3 = 0. Calculate u.
-1, 2
Let a(u) = -35*u**2 + 2725*u - 236663. Let x(i) = 16*i**2 - 1364*i + 118332. Let c(o) = -4*a(o) - 9*x(o). Factor c(m).
-4*(m - 172)**2
Solve 196847*v**4 - 30*v**3 - 196845*v**4 - 26*v - v + v**5 - 108*v**2 + 0*v**5 + 162 = 0 for v.
-3, 1, 6
Let d(m) = 1829*m. Let x be d(0). Let r(q) be the third derivative of -16*q**2 + 0 - 7/120*q**4 + x*q + 1/300*q**5 + 1/3*q**3. Factor r(b).
(b - 5)*(b - 2)/5
Suppose 1023*w - 105 = 988*w. Let n(u) be the first derivative of -1/6*u**4 + 4/3*u + 8/9*u**3 - 5/3*u**2 + w. Factor n(a).
-2*(a - 2)*(a - 1)**2/3
Let x(o) = -3374*o - 30363. Let p be x(-9). Factor 5/2 + 7*t + 7/2*t**2 - t**p.
-(t - 5)*(t + 1)*(2*t + 1)/2
Let f(u) = -4*u**4 + 4*u**2 - 2*u - 2. Let z(c) = -12*c**2 + 7*c**2 - 9*c**4 - 5 - 5*c + 13*c**2 - c**3. Let w(h) = -5*f(h) + 2*z(h). Factor w(m).
2*m**2*(m - 2)*(m + 1)
Let f = 181 + -182. Let c be -6 + 7 + (f - -2). Factor -2/3 + 2/3*j**c + 0*j.
2*(j - 1)*(j + 1)/3
Let k(w) be the second derivative of w**5/80 - 11*w**4/48 + 5*w**3/3 - 6*w**2 - 1668*w. Find r such that k(r) = 0.
3, 4
Let u(w) be the third derivative of -w**6/24 - w**5/12 + 35*w**4/4 - 931*w**2. Let u(c) = 0. What is c?
-7, 0, 6
Let g(m) = -m**2 - 342*m - 3636. Let s be g(-11). Let -1/3*w**s - 4/3*w - 13/3*w**3 + 0 + 4*w**2 + 2*w**4 = 0. Calculate w.
0, 1, 2
Suppose 959*j = -537*j + 333*j. Suppose 10/11*t**3 + 8/11*t**4 + 0*t**2 + 0*t + j - 2/11*t**5 = 0. Calculate t.
-1, 0, 5
Let q(r) be the first derivative of r**6/3 + 14*r**5/5 + 3*r**4/2 - 62*r**3/3 + 20*r**2 - 315. Find m such that q(m) = 0.
-5, -4, 0, 1
Let h be (156/(-24) - -5)/(12/(-10)). Let l(o) be the first derivative of 1/2*o**5 - 8 + 1/2*o + 1/12*o**6 + 5/3*o**3 + h*o**4 + 5/4*o**2. Factor l(w).
(w + 1)**5/2
Let p be (-4)/((-276)/66 + 4). Let 22 + g**2 + 8*g - 44 + p = 0. Calculate g.
-8, 0
Let c(n) be the first derivative of n**6/180 - 2*n**5/45 + n**4/12 - 38*n**2 + 185. Let r(b) be the second derivative of c(b). Factor r(v).
2*v*(v - 3)*(v - 1)/3
Let i(c) = c**3 - 33*c**2 - 70*c + 6. Let m be i(35). Suppose 3*a + m - 27 = 3*u, 0 = 3*u + 6. Factor 0*v**2 - 3/5*v**3 - v**a + 0 + 8/5*v**4 + 0*v.
-v**3*(v - 1)*(5*v - 3)/5
Solve -54 + 206/5*z + 62/5*z**2 + 2/5*z**3 = 0 for z.
-27, -5, 1
Suppose 89*j + 1800 = 1978. Factor 17/2*m - 1/4*m**j - 289/4.
-(m - 17)**2/4
Suppose 2*l = -5*b + 16, -4*l - 39 = -b - 115. Solve -33*u - 37*u**4 + 55*u**4 + 30*u**3 - 72*u**5 + 75*u**5 - l = 0.
-3, -2, -1, 1
Suppose -6*i + 25 = -i. Suppose 2*q + 681 = 4*t + i, -t + 169 = -2*q. Find m such that 168*m**2 - t*m**2 - 1 + 2 = 0.
-1, 1
Let x(w) be the third derivative of -w**6/30 - 3*w**5/5 + 26*w**4/3 - w**2 - 667. Factor x(k).
-4*k*(k - 4)*(k + 13)
Let a(g) = -9*g - 149. Let b be a(-19). Let o be 7 - 0 - (26 - b). Factor 2/7*k**o - 2/7*k**2 + 0*k + 0.
2*k**2*(k - 1)/7
Let s(y) = 751*y + 66841. Let m be s(-89). Factor 3/5 - 4*u**m + 59/5*u.
-(u - 3)*(20*u + 1)/5
Let b(c) be the third derivative of c**7/315 - c**6/180 - 5*c**5/18 + 25*c**4/36 - 13*c**2 + 11. Find h such that b(h) = 0.
-5, 0, 1, 5
Let i be 0/41*(-2)/(-16)*-4. Factor 1/9*t**2 + i*t - 1.
(t - 3)*(t + 3)/9
Let y(x) = -x**3 + 175*x**2 - 328*x - 3114. Let j be y(173). Factor j*g + 0 - 2/9*g**4 + 2/9*g**2 + 0*g**3.
-2*g**2*(g - 1)*(g + 1)/9
Let q(a) be the second derivative of -7*a**4/102 + 193*a**3/51 + 84*a**2/17 - 547*a. Solve q(t) = 0.
-3/7, 28
Let q(i) be the first derivative of 2*i**5/45 - 13*i**4/18 - 20*i**3/9 + 7547. Suppose q(u) = 0. Calculate u.
-2, 0, 15
Factor -27/7*u**4 + 3/7*u**5 + 0*u + 0*u**3 + 0*u**2 + 0.
3*u**4*(u - 9)/7
Let g(c) = -17*c**2 - 16*c - 1. Let y(l) = -l**2 + 2*l + 2. Let z be (-134)/(-737) - (-18)/22. Let o(h) = z*g(h) - 2*y(h). Factor o(q).
-5*(q + 1)*(3*q + 1)
Suppose l + 4*l = -10. Let j be (-7)/((-42)/(-9))*l. Factor 2*x**4 + 4*x + 40 + 33 - 4*x**j - 75.
2*(x - 1)**3*(x + 1)
Suppose 27 = 5*s - w, 4*w + 8 = 150*s - 155*s. Suppose 0*o**2 + 0*o + 3/4*o**3 + 0 - 3/4*o**s = 0. What is o?
0, 1
Suppose 0 = -3*z + 5*y + 35, 2*z + 5*y + 0 = -10. Suppose -z*b**4 - 67 + 10*b**3 + 17*b - 2*b + 5*b - 33 + 75*b**2 + 0*b**4 = 0. What is b?
-2, 1, 5
Suppose -67 - 163 = -23