+ 0 = 0. Calculate a.
-1255, 0
Let o(u) be the third derivative of -u**5/20 - 423*u**4/4 - 460*u**2 + 2*u + 1. Let o(i) = 0. Calculate i.
-846, 0
What is z in -51005*z**2 + 16072*z - 12032*z - 91 + 11 = 0?
4/101
Let j = 3/2482 + 143917/32266. Suppose -4*n - 18 = -23*n + 20. Find x such that 2/13*x**4 - 6*x + 36/13 - 18/13*x**3 + j*x**n = 0.
1, 2, 3
Suppose -357/4 + 3/2*b**4 - 69/4*b**3 - 621/4*b**2 + 1041/4*b = 0. What is b?
-7, 1/2, 1, 17
Let l(j) be the third derivative of 5*j**8/336 - j**7/6 - 43*j**6/24 - 17*j**5/12 + 55*j**4/4 - 1969*j**2. Solve l(u) = 0.
-3, -2, 0, 1, 11
Suppose -10368 - 2/9*p**2 + 96*p = 0. Calculate p.
216
Suppose -14*q + 5*q = -63. Factor 4*w**2 + 6*w + 11 - 3*w**2 + 8 + 2*w - q.
(w + 2)*(w + 6)
Let u = -104611 - -104614. Find s such that -9/2*s**3 - 3/4*s**5 + 0 - u*s**4 - 3/4*s - 3*s**2 = 0.
-1, 0
Let p(g) be the third derivative of 5*g**8/336 - 8*g**7/21 + 7*g**6/4 + 34*g**5/3 + 385*g**4/24 + 3*g**2 - 10*g - 14. Find h such that p(h) = 0.
-1, 0, 7, 11
Solve -17/4*u**4 - 77/4*u**2 + 33/2*u**3 + 6*u + 1 = 0 for u.
-2/17, 1, 2
Let -115194/7*f**3 + 0 - 117128/7*f + 964/7*f**4 - 2/7*f**5 - 233288/7*f**2 = 0. What is f?
-1, 0, 242
Let d(w) = -w**3 + 15*w**2 + 18*w - 29. Suppose 13 = 5*g - 67. Let l be d(g). Factor b + 4*b**l + 6*b**2 + 10*b**2 + 6*b + 5*b.
4*b*(b + 1)*(b + 3)
Solve 2676/7*c + 7839/7*c**3 + 24 - 513/7*c**4 - 9390/7*c**2 = 0.
-1/19, 2/3, 14
Solve -100*c**4 - 260*c**2 - 72*c + 17141 - 280*c**3 - 8*c**5 - 17141 = 0.
-9, -2, -1, -1/2, 0
Let n(k) = 28*k - 405. Let b be n(15). Let l be (3/4)/(b/48). Factor 0*z + l*z**3 + 243/5*z**5 + 0 + 0*z**2 + 108/5*z**4.
3*z**3*(9*z + 2)**2/5
Let k = -237831/10 + 23759. Let w = k - -49/2. Factor 2/5*y**4 + w*y**5 + 0*y**2 + 0 + 0*y + 0*y**3.
2*y**4*(y + 1)/5
Let v(g) be the second derivative of 37*g**4/30 + 478*g**3/15 - 39*g**2/5 - 5*g + 8. Determine n so that v(n) = 0.
-13, 3/37
Let t(q) = 3*q**3 - 70*q**2 + 26*q - 67. Let b be t(23). Suppose -5*z = -4*d - 12 + 2, -4*d + 8 = 4*z. Factor 0*c**b - c - 3*c + 6 + c - 3*c**z.
-3*(c - 1)*(c + 2)
Let i(z) be the second derivative of z**6/135 - 5*z**5/18 - z**4/54 + 25*z**3/27 + 6*z + 2. Determine a so that i(a) = 0.
-1, 0, 1, 25
Suppose -2*i = -224*k + 238*k - 34, i + 7 = 5*k. Factor -5/3*t**k + 70 - 95/3*t.
-5*(t - 2)*(t + 21)/3
Let q(g) be the second derivative of g**7/126 - 4*g**6/45 + 17*g**5/60 - 5*g**4/18 + 12*g - 23. Factor q(m).
m**2*(m - 5)*(m - 2)*(m - 1)/3
Let t = -3 + 5. Determine u so that 27*u**3 - 23*u**4 + 4*u**5 - 13*u**4 + 5*u**3 + 16 - 36*u + 8*u**t + 12*u**4 = 0.
-1, 1, 4
Let g(h) be the second derivative of -h**4/36 + 8*h**3/9 - 5*h**2/2 + 1158*h. Find a, given that g(a) = 0.
1, 15
Determine f so that 21*f - 6210*f**3 + 12415*f**3 + 21*f**2 - 6208*f**3 + 40 - 265 - 6*f = 0.
-3, 5
Factor 3*l**2 + 18550 + 689*l - 19081 - 161*l.
3*(l - 1)*(l + 177)
Let s(q) = -2*q**2 - 56*q - 17. Let z be s(-18). Suppose z = 8*p - 65. Let -2 - p*f**2 + 20*f - 47*f**2 + 48*f**2 = 0. What is f?
1/5
Let -125/3*b**2 + 60*b - 260/3*b**3 + 15 = 0. What is b?
-1, -3/13, 3/4
Let k(b) be the first derivative of 0*b + 7/72*b**4 - 10 + 1/180*b**5 + 1/3*b**3 + 35/2*b**2. Let g(v) be the second derivative of k(v). Factor g(w).
(w + 1)*(w + 6)/3
Factor -93987*a**2 + 11090466*a - 1/2*a**4 - 981506241/2 + 354*a**3.
-(a - 177)**4/2
Let s(n) be the first derivative of -8/3*n - 5 + 8/3*n**2 + 1/6*n**4 - 10/9*n**3. Suppose s(w) = 0. Calculate w.
1, 2
Let y(j) be the second derivative of -1/54*j**4 + 0 + 0*j**3 + 11*j + 0*j**2 - 1/45*j**5. Factor y(z).
-2*z**2*(2*z + 1)/9
Let q(j) be the first derivative of j**3/3 - 20*j**2 + 391*j - 1308. Determine v, given that q(v) = 0.
17, 23
Let v(b) be the third derivative of -5*b**8/112 - 4*b**7/3 - 9*b**6 + 40*b**5 + 250*b**4/3 + 24*b**2 + 16. Suppose v(a) = 0. Calculate a.
-10, -2/3, 0, 2
Let m(w) = -w**3 + 5*w**2 - 3*w - 4. Suppose -2 = -4*g + 5*s - 14, -s = -4*g + 4. Let n be m(g). Factor -8 + 28/3*v - 4/3*v**n.
-4*(v - 6)*(v - 1)/3
Let a(d) be the third derivative of -2*d**7/945 - 7*d**6/270 + 4*d**5/135 + 14*d**4/27 - 5*d**2 + 8*d + 13. Solve a(z) = 0.
-7, -2, 0, 2
Let u be (-32)/(-36) + ((-98)/(-1260) - (-12)/(-40)). Determine k, given that -k - 1/3*k**5 + 0*k**4 - u + 2/3*k**2 + 4/3*k**3 = 0.
-1, 1, 2
Let i(w) = 4*w - 2*w + 28 - 3*w - 1. Let h be i(7). Let 8*k**2 + h*k**3 - 8*k**3 - 4*k**2 = 0. What is k?
-1/3, 0
Suppose -475 = -3*f + 4*r - 267, -2*f - 5*r = -108. Factor 23/5*c**4 + 168/5*c**3 + f*c**2 - 512/5*c + 1/5*c**5 + 0.
c*(c - 1)*(c + 8)**3/5
Suppose 0*c - 3*x - 6 = -c, 0 = -3*c + 2*x + 25. Suppose -c*d + 8 = -5*d. Suppose -6*i**5 + 2*i**5 + 4*i**4 + 22*i**3 - 4*i**d - 18*i**3 = 0. What is i?
-1, 0, 1
Let s = 5538/11075 + -1/22150. Factor 0 + 0*l**2 + 0*l - s*l**5 - 1/2*l**3 + l**4.
-l**3*(l - 1)**2/2
Determine p so that -126*p**3 + p**3 + 21956*p**2 - 29392*p**2 - 6962 - 14*p**3 - 2*p**4 - 14160*p - 101*p**3 = 0.
-59, -1
Suppose k = 3*r - 0*r - 105, 2*k + 217 = -r. Let l be 3/5*((-330)/k)/11. Find f such that 1/2 - 1/2*f**2 - l*f + 1/6*f**3 = 0.
-1, 1, 3
Let u(x) = -962*x + 4 + 954*x - 25. Let t be u(-3). Factor -54*c**4 - 4*c + c**3 + 52*c**4 + 2*c**2 + 3*c**t.
-2*c*(c - 2)*(c - 1)*(c + 1)
Let i(m) be the third derivative of -1/9*m**4 + 27 + 2*m**2 + 0*m - 1/450*m**5 - 19/45*m**3. Factor i(w).
-2*(w + 1)*(w + 19)/15
Suppose -4*t - a = 3109 - 3126, 2*t - 9 = -a. Suppose -d - 6 = -2*i - 2*d, -5*d + 2 = -4*i. Solve 1/5*s**i - 1/5*s**5 + 1/5*s**3 + 0*s - 1/5*s**t + 0 = 0 for s.
-1, 0, 1
Suppose 5*o = -0*o + 2*k - 5, 0 = -5*o - 3*k - 30. Let s be ((-6)/o - -4)*(-1)/(-3). Factor m**4 - 41*m**s + 2*m**3 + 40*m**2 - 2*m**4.
-m**2*(m - 1)**2
Let n(j) be the first derivative of 14/5*j**3 - 1/5*j**2 - 42/5*j + 1/10*j**4 + 152. Solve n(r) = 0 for r.
-21, -1, 1
Suppose 0 = -50*j + 41*j + 36. Solve 4 - 1566*x**2 + 1458*x + 50*x**3 - 2*x**4 + 60*x**3 - j = 0 for x.
0, 1, 27
Let b(z) = -2*z - 3. Let q be b(-3). Suppose 0 = 3*g + t - 5*t - 18, q*g + 5*t - 45 = 0. Let -g*l + 17*l - 2*l**2 - 4*l + 3*l**2 = 0. Calculate l.
-3, 0
Let d(q) = -36*q**4 + 36*q**3 + 152*q**2 + 136*q + 28. Let j(r) = 4*r**4 - 4*r**3 - 17*r**2 - 15*r - 3. Let x(c) = 3*d(c) + 28*j(c). Factor x(w).
4*w*(w - 3)*(w + 1)**2
Let l(b) = 2*b + 67. Let j be l(-35). Let z be (2 + 7/j)/((-10)/150). Factor 1/3*k**3 - 1/3*k**4 + 0 + 0*k - 1/9*k**2 + 1/9*k**z.
k**2*(k - 1)**3/9
Suppose -309*n**2 - 5*n**3 + 23*n**3 - 4560 + 2328*n - 7*n**3 - 8*n**3 = 0. Calculate n.
4, 95
Let c(k) be the first derivative of -2/3*k**3 + 0*k + 0*k**2 - 1/240*k**5 + 6 - 1/24*k**4 + 1/720*k**6. Let p(z) be the third derivative of c(z). Factor p(o).
(o - 2)*(o + 1)/2
Let q(x) be the first derivative of -5*x**4/4 - 230*x**3/3 - 3525*x**2/2 - 18000*x + 1794. What is y in q(y) = 0?
-16, -15
Let v = -44862 - -44862. Solve 9*d**2 + v - 6/7*d = 0.
0, 2/21
Let f(t) = 8*t**3 + 29*t**2 + 5. Suppose -11*s + 30 = -5*s. Let n(j) = -15*j**3 - 57*j**2 - 9. Let y(q) = s*n(q) + 9*f(q). Factor y(z).
-3*z**2*(z + 8)
Let x(g) = 2*g**2 - 5*g + 3. Let f be x(3). Suppose -12*r + 4 = -10*r - d, 32 = r + 7*d. Factor -1 + 6 - f*h**4 + 2*h**4 + 10*h**3 - h**r - 10*h.
-5*(h - 1)**3*(h + 1)
Suppose 31*g - 39 = 18*g. Let r(z) be the third derivative of 8*z**2 + 0*z**g - 1/180*z**5 + 0*z + 0 - 1/72*z**4. Factor r(i).
-i*(i + 1)/3
Let x be (10/45)/(-1 + 40/36). Let l(u) = -38*u + 80. Let r be l(2). Find w, given that -6/7*w**r + 16/7*w**x + 0 - 2/7*w**3 - 8/7*w = 0.
-2, 0, 2/3, 1
Let l(j) be the first derivative of -j**3/3 + 8*j**2 - 39*j + 1599. What is u in l(u) = 0?
3, 13
Suppose -970 = -b - i - i, -b - 5*i = -976. Let w = 6778/7 - b. Suppose -2/7*v**3 + w - 4/7*v**2 + 8/7*v = 0. Calculate v.
-2, 2
Let r(h) be the first derivative of -h**5/10 - 2*h**4 - 3*h**3 + 22*h**2 - 283*h + 1. Let c(k) be the first derivative of r(k). Factor c(m).
-2*(m - 1)*(m + 2)*(m + 11)
Factor -38*j**2 + 380260 + 42*j**2 - 2800*j + 109740.
4*(j - 350)**2
Let i be (-2 + 1 - -9) + -2 + 89/(-89). Let u(h) be the third derivative of 4*h**2 - 1/44*h**4 + 1/330*h**i + 0*h + 0 + 2/33*h**3. What is g in u(g) = 0?
1, 2
Let k be 4236/(-32829) - (-412)/310. What is p in k*p - 3/5*p**4 - 3*p**2 + 12/5*p**3 + 0 = 0?
0, 1, 2
Let d be ((-108)/(-75) + -2)/(2/(-690)). Let n = -193 + d. Factor n*w**3 - 4/5*w**2 + 0 + 0*w.
w**2*(w - 4