*x + 1818. Factor o(z).
5*(z - 2)**2*(11*z + 4)
Suppose 0 = 23398672*w - 23398658*w - 28. Determine u, given that 33/2*u - 69/4 + 3/4*u**w = 0.
-23, 1
Let p(l) be the second derivative of -l**5/24 + 2455*l**4/6 - 4821620*l**3/3 + 9469661680*l**2/3 - 595*l - 3. Factor p(v).
-5*(v - 1964)**3/6
Let a(l) be the third derivative of 1/180*l**5 + 0*l**3 + 0 + 1/8*l**4 + 0*l + 129*l**2. Factor a(i).
i*(i + 9)/3
Let c(u) = -3*u**2 + 239*u - 1688. Let w(s) = s + 8. Let i(g) = -c(g) + 2*w(g). Let i(o) = 0. Calculate o.
8, 71
Let p(d) be the third derivative of d**7/6300 - d**6/360 + 27*d**4/8 - d**3/3 - 148*d**2. Let w(c) be the second derivative of p(c). Factor w(x).
2*x*(x - 5)/5
Let h be 2/(-4)*0/(9 - 3). Let l(s) be the third derivative of 0*s + 1/180*s**6 + h*s**4 + 0*s**3 + 0 + s**2 + 0*s**5. Determine y, given that l(y) = 0.
0
Suppose -10*g + 4850 = -1000. Let n be 3 + (g/(-231) - (-4)/(-14)). Find p, given that -32/11 - n*p**2 + 16/11*p = 0.
4
Let b = -3501058/9 - -389008. Solve -b*v**2 - 56/9*v - 8/3 + 4/9*v**3 = 0.
-2, -1/2, 6
Let b = 753 + -751. Suppose -2*c + 4*k = -20, b*c - 5*k = -8 + 32. Factor -9/2 - 3*i - 1/2*i**c.
-(i + 3)**2/2
Suppose 4*l = -5*k + 143, -5*k = -7*k - l + 56. Suppose -4*w - 15 = -k. Factor 0 + 0*i + 0*i**2 - 2/3*i**w.
-2*i**3/3
Let r(u) = u**3 - 4*u**2 + 47*u + 34. Let h(b) = 2*b**3 - 17*b**2 + 93*b + 67. Let j(g) = 2*h(g) - 5*r(g). Factor j(w).
-(w + 1)*(w + 4)*(w + 9)
Let i = 32809 - 5511937/168. Let j = 11/21 + i. What is n in 3/2*n**2 + 15/8*n + 3/4 + j*n**3 = 0?
-2, -1
Let o(z) = 4*z**3 + 24*z**2 - 36*z - 56. Let m be o(-7). Let i(w) be the first derivative of 11 + 0*w**2 + w**4 + 4/3*w**3 + m*w. Let i(h) = 0. Calculate h.
-1, 0
Let c = -1366/3 - -457. Let b = 154/129 - -6/43. Factor -b*l**2 - c*l - 1/3*l**3 - 2/3.
-(l + 1)**2*(l + 2)/3
Let t(c) be the first derivative of 20/3*c**3 + 0*c**2 - 3*c**5 + 0*c - 13 + 0*c**4 - 5/6*c**6. What is k in t(k) = 0?
-2, 0, 1
Let q(n) be the third derivative of n**6/720 - 25*n**5/72 + 427*n**4/16 + 441*n**3/4 - 306*n**2 + 2*n. Factor q(w).
(w - 63)**2*(w + 1)/6
Suppose 0 = -u + w + 13, -11*w - 4 = -9*w. Let j be (1/6)/((-31)/3 + u). Factor -j*t**3 - t**2 - 3/4*t + 0.
-t*(t + 1)*(t + 3)/4
Let a(z) be the first derivative of -99/10*z**2 - 57/10*z**4 - 24/5*z - 36/25*z**5 - 78 - 1/10*z**6 - 52/5*z**3. Factor a(d).
-3*(d + 1)**4*(d + 8)/5
Let x(i) be the third derivative of -5*i**2 + 0*i**3 - 1/60*i**5 - 1/6*i**4 + 1/240*i**6 + 33 + 0*i. Find q such that x(q) = 0.
-2, 0, 4
Let j(n) be the second derivative of 3930*n**7/7 + 12469*n**6/10 + 7917*n**5/10 + 671*n**4/4 + n**3 - 8732*n. Find m, given that j(m) = 0.
-1, -1/3, -1/4, -2/655, 0
Let q be 7/(126/(-30))*1668/(-1264). Let z = q - -4/79. Let -3/4*k**3 - 3/4*k**2 - z + 15/4*k = 0. What is k?
-3, 1
Let r be ((-3066)/7154)/((-3)/14). Let 44/3*k + 68/3*k**r + 4/3*k**4 - 24 - 44/3*k**3 = 0. What is k?
-1, 1, 2, 9
Suppose -4*m = 2*r - 62, 4*r + 4*m - 51 = 57. Let t(o) be the first derivative of -5/3*o**3 - 20*o**2 + 0*o - r. Factor t(d).
-5*d*(d + 8)
Let g(y) be the second derivative of -y**5/40 - 313*y**4/24 - 24335*y**3/12 + 24649*y**2/4 + 34*y + 10. Factor g(h).
-(h - 1)*(h + 157)**2/2
Suppose -3*w + 6 = 3*f, -4*w = -2*f + 4*f - 8. Let y be (0 - w) + (-352)/55 + 9. Let y + 27/5*g**2 - 18/5*g = 0. What is g?
1/3
Let u be 189/(-14)*((-896)/882)/16. Find y, given that -3/7 + u*y + 9/7*y**2 = 0.
-1, 1/3
Solve -304/7*i**3 + 4/7*i**5 - 584/7 + 288/7*i**4 - 856/7*i**2 + 1452/7*i = 0 for i.
-73, -2, 1
Suppose -55*w - 8 = -5*q - 57*w, -3*q + 16 = 4*w. Suppose 4/9*u**4 + 0*u - 2/9*u**5 - 2/9*u**3 + q + 0*u**2 = 0. What is u?
0, 1
Let i(s) be the third derivative of s**6/720 + s**5/24 + s**4/3 + 14*s**3/3 - 59*s**2. Let h(r) be the first derivative of i(r). Solve h(d) = 0 for d.
-8, -2
Let q(m) be the first derivative of -m**2 - m**4 + 71 + 1/5*m**5 + 0*m + 5/3*m**3. Solve q(i) = 0 for i.
0, 1, 2
Let u = -1043868/11 - -94900. What is w in 2/11*w**4 + 0*w**2 + 8/11*w**3 - u*w - 32/11 = 0?
-2, 2
Let x(p) be the first derivative of p**4/18 - 3146*p**3/9 + 618320*p**2 + 11139200*p/9 - 4949. Let x(y) = 0. What is y?
-1, 2360
Let g(i) be the third derivative of i**5/60 - i**4/24 - 15*i**3 - 103*i**2 - 3*i. Factor g(u).
(u - 10)*(u + 9)
Suppose -23*n**4 - 165272*n**2 + 8*n**5 + 6*n**3 + 165277*n**2 + 4*n**5 = 0. Calculate n.
-1/3, 0, 1, 5/4
Let b(c) be the first derivative of 146*c**5/3 + 1097*c**4/6 + 734*c**3/3 + 371*c**2/3 + 4*c/3 - 71. Let b(x) = 0. What is x?
-1, -2/365
Let y(k) = -k**2 - 52*k - 127. Let l be y(-41). Factor 175*p**4 + l*p**3 + 165*p**5 - 5225*p - 1805 - 1574*p**3 - 170*p**5 - 4850*p**2.
-5*(p - 19)**2*(p + 1)**3
Let j(r) be the second derivative of r**6/60 + 11*r**5/40 + 17*r**4/12 + 2*r**3 + 77*r + 4. Solve j(n) = 0 for n.
-6, -4, -1, 0
Let f = -1073 + 3362/3. Let j = f - 142/3. Factor 4/3 + j*m**2 + 5/3*m.
(m + 1)*(m + 4)/3
Suppose -10/3*l**5 - 4316/3*l**3 + 418/3*l**4 + 1442*l + 294 - 1300/3*l**2 = 0. Calculate l.
-1, -1/5, 1, 21
Find s such that 131*s**3 + 442*s**2 - 121*s**2 - 227*s**3 + 3*s**4 + 420*s = 0.
-1, 0, 5, 28
Let r(v) be the first derivative of -165/4*v**2 + 4*v**3 + 121*v + 120 - 1/8*v**4. Factor r(w).
-(w - 11)**2*(w - 2)/2
Solve -2/9*x**2 + 146/3*x - 436/9 = 0 for x.
1, 218
Let w be 0/(-21)*(-5 - -6). Let h(p) be the first derivative of 11 + 1/21*p**3 + w*p**2 - 1/7*p. Suppose h(b) = 0. What is b?
-1, 1
Suppose 3*x - 3*d - 26 = d, -5*d - 19 = 3*x. Let c be -4 + 5/((-20)/(-1232)). Factor -c*w**2 + 1 - 5 + 308*w**x.
4*(w - 1)*(w + 1)
Let k(n) = 73*n - 6493. Let s be k(89). Find w such that -1/9*w**2 - 36 - s*w = 0.
-18
Let b = 28/2171 - -3839/26052. Let j(g) be the third derivative of 0*g + b*g**4 + 1/780*g**6 + 0 + 0*g**3 + 25*g**2 - 1/39*g**5. Factor j(t).
2*t*(t - 5)**2/13
Suppose 160*b + 274 = 297*b. Factor 1/4*d**b + 7/4*d + 3/2.
(d + 1)*(d + 6)/4
Suppose 7/4*j**4 - 14*j + 1/4*j**5 - 8 - 5*j**2 + 5/2*j**3 = 0. What is j?
-4, -2, -1, 2
Let g(o) = 13*o**2 + 9455*o + 2088. Let l(i) = -i**2 + 11*i. Let r(f) = g(f) - 5*l(f). Factor r(z).
2*(z + 522)*(9*z + 2)
Let o(m) be the third derivative of -m**8/336 - m**7/15 - 61*m**6/120 - 7*m**5/5 - 3*m**4/2 + 7*m**2 + 388. Solve o(h) = 0.
-6, -1, 0
Find v, given that -1/2*v**2 - 2 + 2*v = 0.
2
Suppose -3 + 9 = -3*u, -164 = -4*y - 4*u. What is x in 38*x - 84*x - 4 + y*x - x**2 + 2*x**2 = 0?
-1, 4
Let y(k) be the first derivative of -5/9*k**6 - 20/3*k**2 + 247 + 8/3*k**3 + 79/6*k**4 + 28/5*k**5 + 0*k. Determine x, given that y(x) = 0.
-1, 0, 2/5, 10
Let b(l) be the third derivative of -25/18*l**4 - 1/120*l**6 + 0*l + 1/630*l**7 - 4*l**3 + 99*l**2 - 7/30*l**5 - 1. Let b(d) = 0. What is d?
-2, 9
Let j = -7946 - -7950. Let w(u) be the first derivative of 1/5*u**5 - 5/3*u**3 + 0*u**2 + 7 + 0*u - u**j. Factor w(r).
r**2*(r - 5)*(r + 1)
Let k(f) = 4*f**2 - 17*f - 6. Let i be k(6). Solve 75*u**2 - i*u + 13 + 2 - 9*u**3 + 66*u**2 - 55*u = 0 for u.
1/3, 15
Let d(t) be the first derivative of -3*t**4/28 + 9*t**3/7 - 39*t**2/7 + 72*t/7 - 923. Determine c so that d(c) = 0.
2, 3, 4
Factor -8*h + 36*h + 15*h**2 - 5*h**2 - 80 - 26*h**2 + 14*h**2.
-2*(h - 10)*(h - 4)
Let j(s) be the second derivative of s**7/42 - 236*s**6/15 - s**5/10 + 236*s**4/3 + s**3/6 - 236*s**2 - 2*s - 474. Solve j(o) = 0 for o.
-1, 1, 472
Let l(p) = p - 7. Let s be l(9). Let j = 3/40 - -17/40. Factor 1/2*i**s + 3/2*i + j*i**4 - 1 - 3/2*i**3.
(i - 2)*(i - 1)**2*(i + 1)/2
Let g be 68/(-20) + ((-14)/(-10) - 1). Let u be (0 - g)*(-19)/(-684). Factor -u*w**3 - 1/12*w**2 + 0*w + 0.
-w**2*(w + 1)/12
Suppose -24 + 4 = 5*i, -i - 2 = g. Let -4*v + 2*v**g - 10*v**2 + 12*v**2 = 0. Calculate v.
0, 1
Let z(p) = -p**2 + 8*p - 13. Let j be z(4). Suppose 0 = -b + 2*b - j. Determine g so that 6 - 21*g - 3*g**4 - 3*g**4 + 3*g**5 - 36*g**b + 24*g**2 + 30*g**3 = 0.
-2, 1
Let o(y) be the first derivative of -1/12*y**5 + 0*y**2 + 17*y - 17 + 1/30*y**6 + 2/9*y**3 - 1/9*y**4. Let z(q) be the first derivative of o(q). Factor z(i).
i*(i - 2)*(i + 1)*(3*i - 2)/3
Suppose 15*f = 12*f + 312. Suppose -f + 1112 = 56*w. Factor -12 - w*n - 3/4*n**3 - 27/4*n**2.
-3*(n + 1)*(n + 4)**2/4
Let y be 2*32/(3 + -2). Let d = -46 + y. What is g in 105*g + 80 - 10*g**2 + d*g**2 - 5 + 25*g**2 + 3*g**3 = 0?
-5, -1
Let y(m) be the first derivative of m**6/144