0*x - 104*x.
-3*(x + 1)**2*(x + 4)**2
Suppose -5*t + 27 = 47, t = -4*v. Suppose -1 = -12*i - v. Factor i + 1/2*o**3 - o**2 + 1/2*o.
o*(o - 1)**2/2
Let d be 9/27 + 14/3 - -422. Factor -d - 12*m - 431 + 4*m**2 + 842.
4*(m - 4)*(m + 1)
Suppose 156/17*m - 54/17*m**3 - 6/17*m**4 + 190/17*m**2 + 2/17*m**5 - 720/17 = 0. Calculate m.
-5, -2, 3, 4
Let n(x) be the first derivative of -3*x**4/28 - 6147*x**3/7 - 37785609*x**2/14 - 25807570947*x/7 - 6567. Factor n(q).
-3*(q + 2049)**3/7
Suppose -80 + 4/3*l**2 + 16/3*l = 0. What is l?
-10, 6
Let x(i) be the first derivative of 95/3*i**3 + 85/2*i**2 - 234 - 10*i. Find p, given that x(p) = 0.
-1, 2/19
Let v(l) = 2*l**3 - 9*l**2 + 2*l - 33. Let c be v(5). Factor 1961*w**c - 64 - 5800*w**3 - 2500*w**4 - 2158*w**2 - 928*w - 3967*w**2.
-4*(w + 1)**2*(25*w + 4)**2
Let c(o) be the third derivative of o**6/210 + 104*o**5/105 - o**4/42 - 208*o**3/21 - 3*o**2 + 5*o - 31. Factor c(t).
4*(t - 1)*(t + 1)*(t + 104)/7
Let a(r) be the first derivative of 3*r**5/5 - 639*r**4/2 - 1284*r**3 - 1929*r**2 - 1287*r + 1951. Factor a(v).
3*(v - 429)*(v + 1)**3
Let t(u) be the second derivative of u**4/3 - 340*u**3/3 + 1650*u**2 - 10*u + 16. Factor t(a).
4*(a - 165)*(a - 5)
Suppose 31 = 4*m - 5*h, 3*m - 278*h = -274*h + 24. Find u such that 6/7*u - 297/7*u**5 - 9/7*u**2 - 141/7*u**3 + 0 + 63*u**m = 0.
-2/11, 0, 1/3, 1
Let v(c) = 21*c**2 + 82*c + 69. Let f(t) = -4*t**2 - 16*t - 14. Let b(n) = n**2 - 2*n - 26. Let s be b(-6). Let y(x) = s*f(x) + 4*v(x). Factor y(p).
-4*(p + 2)*(p + 4)
Let n(q) be the second derivative of q**9/25200 - q**8/2240 + q**7/700 - 3*q**4/4 + q**2 - 3*q + 1. Let y(c) be the third derivative of n(c). Factor y(x).
3*x**2*(x - 3)*(x - 2)/5
Let f(q) = -25*q**3 + 700*q**2 + 8*q. Let m(y) = 5*y**3 - 2*y. Let d(x) = -f(x) - 4*m(x). Let d(b) = 0. What is b?
0, 140
Solve -566904 - 1080*g**2 + 566904 + 25*g**3 + 215*g = 0 for g.
0, 1/5, 43
Determine r so that 7/3*r + 0 + 3/2*r**2 + 1/6*r**3 = 0.
-7, -2, 0
Let t(h) be the second derivative of -h**5/140 - 4*h**4/21 - 5*h**3/14 - 612*h - 1. Factor t(u).
-u*(u + 1)*(u + 15)/7
Let v(m) = -91*m + 221. Let d be v(-6). Let f = -761 + d. Suppose f - 2*k - 2/3*k**3 - 10/3*k**2 = 0. What is k?
-3, 1
Let c(w) be the third derivative of w**8/84 + 514*w**7/35 + 66049*w**6/10 + 16974593*w**5/15 + 7496*w**2. Determine h so that c(h) = 0.
-257, 0
Let f = 77 + 192. Let i = -1880/7 + f. Factor -9/7*m**2 + 3/7*m**3 + i*m**4 + 6/7 - 3/7*m.
3*(m - 1)**2*(m + 1)*(m + 2)/7
Let h(i) be the first derivative of 2*i**6/3 - 13*i**5/5 - 33*i**4/4 + 39*i**3 - 27*i**2/2 - 732. Factor h(u).
u*(u - 3)**2*(u + 3)*(4*u - 1)
Suppose -232 = -4*y + 2*y + 2*q, 0 = -4*y - q + 444. Let d be -6 - 2/(y/(-344)). Factor 0 - 1/7*a**3 + 0*a**2 + d*a.
-a*(a - 1)*(a + 1)/7
What is i in -880/9*i**3 - 400/9*i**2 - 404/9*i**4 + 0 + 0*i - 32/9*i**5 = 0?
-10, -2, -5/8, 0
Let q(d) be the third derivative of 1/120*d**5 - d**2 - 67/48*d**4 + 0*d + 0*d**3 - 237. Factor q(x).
x*(x - 67)/2
Let u = 111 - 69. Suppose 5*k - u = 18. Factor 3*q**2 - k - 5*q**2 + q**2 - 8*q - 4.
-(q + 4)**2
Suppose 5*n + 5*b - 5 = 0, 0 = 8*n - 9*n - 2*b. Let w(d) be the third derivative of 0*d - d**4 + 24*d**n + 1/40*d**5 + 0 + 16*d**3. Find l, given that w(l) = 0.
8
Let d be (-2)/15*(-37)/222. Let o(q) be the third derivative of -1/24*q**4 + 0*q**3 + 4*q**2 + 0*q + 0 - 1/360*q**6 + d*q**5. Factor o(s).
-s*(s - 3)*(s - 1)/3
Let g(h) be the second derivative of -h**7/14 + 4*h**6/5 - 9*h**5/10 - 2*h**4 + 7*h**3/2 - 5569*h. Determine j so that g(j) = 0.
-1, 0, 1, 7
Let h(x) be the third derivative of -x**5/66 + 1843*x**4/132 + 246*x**3/11 + 1784*x**2. Factor h(c).
-2*(c - 369)*(5*c + 2)/11
Factor 2675/3*l + 5/3*l**2 - 2680/3.
5*(l - 1)*(l + 536)/3
Let f(k) be the first derivative of -k**4/4 + 5*k**3/3 + 13*k**2 - 120*k + 977. Factor f(v).
-(v - 6)*(v - 4)*(v + 5)
Let a(f) = 504*f - 252*f - 253*f. Let y(x) = -2*x**3 - 4*x**2 - 2*x. Let s(l) = 4*a(l) - 2*y(l). Factor s(o).
4*o**2*(o + 2)
Let s(a) = -a**3 + 299*a**2 - 956*a + 670. Let v(r) = 5*r**3 - 1195*r**2 + 3825*r - 2685. Let d(l) = -25*s(l) - 6*v(l). Determine x, given that d(x) = 0.
-64, 1, 2
Let c be 225/28 + 184/(-23). Let v = c - -51/140. Solve v + 6/5*p**2 + 7/5*p - 1/5*p**3 - 2/5*p**4 = 0.
-1, -1/2, 2
Factor 1/2*q**2 + 537289/2 + 733*q.
(q + 733)**2/2
Let u(w) be the first derivative of 4*w**3/3 - 136*w**2 - 560*w + 1151. Determine i, given that u(i) = 0.
-2, 70
Find j, given that 216/11*j**2 - 162*j + 0 - 2/11*j**3 = 0.
0, 9, 99
Let b(h) = -27*h**4 + 33*h**3 - 5*h**2 - 11*h + 5. Let p(l) = -13*l**4 + 17*l**3 - 3*l**2 - 5*l + 2. Let t(j) = -4*b(j) + 10*p(j). Factor t(z).
-2*z*(z - 1)**2*(11*z + 3)
Let a be (37/(-74))/((-1)/6). Suppose -16*h**3 + 111*h**2 - 36 - 20*h**a + 21*h**5 - 33*h**4 - 12*h + 11*h**5 - 26*h**5 = 0. What is h?
-2, -1/2, 1, 6
Suppose -h + 4*n - 9 = 0, -n = -5*h - 0*n + 12. Factor -2*z + h*z**2 - 16 + 13*z**2 - 50*z**3 + 52*z**3.
2*(z - 1)*(z + 1)*(z + 8)
Let y(n) = -n**5 - n**4 - 2*n**2 - 1. Let u(s) = -6*s**5 + 10*s**4 - 80*s**3 + 190*s**2 - 240*s + 107. Let m(w) = 2*u(w) - 10*y(w). What is d in m(d) = 0?
2, 7
Let w(t) be the third derivative of -t**5/240 + 31*t**4/96 - 7*t**3 - 3134*t**2. Factor w(m).
-(m - 24)*(m - 7)/4
Suppose 37 = -5*o + 17. Let s be 80/(-1650) - (o - (-42)/11). Factor -s*t**3 + 6/5*t + 2/5*t**2 + 2/3.
-2*(t - 5)*(t + 1)**2/15
Let y = 4446 + -4422. Let z(n) be the first derivative of y*n**2 - 4/3*n**3 - 144*n + 6. Factor z(r).
-4*(r - 6)**2
Let p(j) = j**3 - 40*j**2 + 282*j - 222. Let n(b) = 2*b**3 - 32*b**2 + 282*b - 224. Let r(m) = -3*n(m) + 4*p(m). Factor r(x).
-2*(x - 3)*(x - 1)*(x + 36)
Let z = 355 + -353. Find s such that 15*s**2 - 5*s + 36*s**2 + 20*s**5 - 15*s**4 - 15*s**3 - 10*s**4 - 26*s**z = 0.
-1, 0, 1/4, 1
Let a = -544/2605 - -3693/5210. Factor -a*c**4 + 1/6*c**5 - 1/3*c**3 - 4/3*c + 0 + 2*c**2.
c*(c - 2)**2*(c - 1)*(c + 2)/6
Let z(j) = 6*j - 76. Let u be z(13). Suppose 0 = 2*x + 3*i - 10, u*i = x - 0*i + 2. Factor 8/7*v**4 - 10/7*v**3 + 0*v + 4/7*v**x + 0 - 2/7*v**5.
-2*v**2*(v - 2)*(v - 1)**2/7
Let v(a) be the third derivative of -a**6/24 - 83*a**5/60 + 41*a**4/24 + 119*a**3/6 - 8344*a**2. Factor v(r).
-(r + 1)*(r + 17)*(5*r - 7)
Let p(d) be the second derivative of 2*d**6/15 - 23*d**5/5 + 97*d**4/3 - 86*d**3 + 108*d**2 + 460*d + 9. Factor p(t).
4*(t - 18)*(t - 3)*(t - 1)**2
Let i = -1026 - -972. Let o be 3 - (-9)/i - 20/15. Let 0*j - 2 + 1/2*j**3 + o*j**2 = 0. What is j?
-2, 1
Let u(p) be the first derivative of 6*p**5/55 + 51*p**4/22 + 16*p**3 + 432*p**2/11 + 899. Find t such that u(t) = 0.
-9, -4, 0
Let q = 94454/212805 - -14/23645. What is j in -104/9*j - q*j**3 + 44/9*j**2 + 64/9 = 0?
1, 2, 8
Let m be 2*-2*4/(-8) - -3. Suppose 0 = 3*j - 1 - m. Factor -5 + 2*s - 13*s**j - 7*s + 18*s**2 + 5*s**3.
5*(s - 1)*(s + 1)**2
Suppose 2*s + 2*d = 8, -707*s + 5*d - 4 = -704*s. Factor s*c**2 - 1/5*c**3 - 17/5*c - 28/5.
-(c - 7)*(c - 4)*(c + 1)/5
Let j(q) = -8*q**2 - 2*q - 389. Let f be j(0). Let p = f - -1557/4. Factor 1/2*o + p - 1/4*o**2 - 1/2*o**3.
-(o - 1)*(o + 1)*(2*o + 1)/4
Let a(n) be the second derivative of n**5/30 + 4*n**4/9 + 13*n**3/9 + 2*n**2 + 114*n - 1. Let a(o) = 0. What is o?
-6, -1
Let o(s) be the second derivative of 0 - 1/24*s**4 - 50*s + 1/2*s**3 + 4*s**2. Factor o(j).
-(j - 8)*(j + 2)/2
Let m be (5 - (-185)/(-35) - (-1196)/462) + 26/(-39). Find v, given that 30/11*v**2 + m*v + 14/11*v**3 + 2/11*v**4 + 0 = 0.
-3, -1, 0
Let d(f) be the third derivative of f**8/336 - f**7/70 - f**6/24 + f**5/4 + f**4/6 - 2*f**3 + f**2 + 5*f + 497. Solve d(w) = 0 for w.
-2, -1, 1, 2, 3
Factor 2*b + 21/2*b**2 - 5*b**3 + 1/2*b**4 - 14.
(b - 7)*(b - 2)**2*(b + 1)/2
Let b be ((-6)/8 + 1)*-20*14/(-784). Let u(i) be the third derivative of 1/60*i**5 + 0*i + 3/14*i**3 - 1/840*i**6 + 8*i**2 + 0 - b*i**4. Factor u(n).
-(n - 3)**2*(n - 1)/7
Let b be (-4 - -13)*(56/(-12))/(-7). Find g such that 389 + b*g + 26*g - 6*g**2 - 399 = 0.
1/3, 5
Suppose f - 4*d = 30, -5*d = -7*d - 14. Factor 1/4*k**3 - 1/4*k**f - 9/4*k + 9/4.
(k - 3)*(k - 1)*(k + 3)/4
Suppose 2*q + 595 - 325 = 0. Let u = 137 + q. Factor 2/3*s - 2/3*s**4 - 2/3*s**3 + 0 + 2/3*s**u.
-2*s*(s - 1)*(s + 1)**2/3
Let a = -15850 - -15878. Let w(r) be the third derivative of 2/15*r**3 - 1/15*r**4 - 1/1050*