*2 - 2/3.
-(w - 2)**2*(w + 1)/6
Let u be (82/(-40) + (-810)/40 + 22)*(-4)/3. Let z = 7/2 - 33/10. Let z*l**4 - u*l - 4/5*l**3 + l**2 + 0 = 0. What is l?
0, 1, 2
Let t be (-6)/(0 - (-12)/(-2) - (-480)/128). Let m be 0 + (-1 - (-22)/18). Factor 8 - t*r + m*r**2.
2*(r - 6)**2/9
Let j(y) be the second derivative of -3*y + 45 - 4*y**4 + 3/5*y**5 + 13/2*y**3 - 9/2*y**2. Solve j(r) = 0.
1/2, 3
Suppose -5*o = 4*c - 123, 5*o = -18*c + 17*c + 42. Let f be c/18*-3*(-8)/18. Solve 7/3*r**f + 26/3*r - 8/3 = 0 for r.
-4, 2/7
Let s = -649/7 - -93. Let f = -523783 - -3666485/7. Determine h, given that s*h**2 - f*h - 6/7 = 0.
-1, 3
Suppose -j = -3, 0 = -13*l + 15*l + 4*j - 78. Factor l + 40 - 73 - 5*w**5.
-5*w**5
Let n(k) = -k**3 + k**2 + 2*k - 18. Let a(j) = -j - 1. Let l be 3 + 44/(-10) - 32/(-80). Let p(h) = l*n(h) + 6*a(h). Solve p(s) = 0.
-3, 2
Let k(r) = 6*r**3 - 326*r**2 - 105*r - 12. Let u(b) = b**3 - b**2 + b - 4. Let l(w) = 5*k(w) - 15*u(w). What is j in l(j) = 0?
-1/3, 0, 108
Let d(f) = -f**2 + 140*f - 4734. Let l be d(59). Solve -l*y + 87/2 - 3/2*y**4 + 45*y**3 - 42*y**2 = 0.
-1, 1, 29
Let x(u) be the second derivative of -u**7/315 + 16*u**6/225 - 13*u**5/25 + 56*u**4/45 - 49*u**3/45 + 323*u. Factor x(n).
-2*n*(n - 7)**2*(n - 1)**2/15
Let b(i) = i**2 + 223*i - 2328. Let q be b(10). Find u, given that 4*u**q - 1/5*u**3 + 34/5 - 53/5*u = 0.
1, 2, 17
Suppose -4*l = -112 + 48. Let y(t) = 16*t**3 - 4*t**2 - t + 9. Let a(r) = -48*r**3 + 12*r**2 - 28. Let q(n) = l*y(n) + 5*a(n). Let q(s) = 0. What is s?
-1, 1/4, 1
Let m(g) be the third derivative of -g**5/300 - 299*g**4/120 + 151*g**3/5 + 7281*g**2. Let m(a) = 0. Calculate a.
-302, 3
Let x(k) be the second derivative of k**6/210 + 89*k**5/70 + 660*k**4/7 - 89*k**3/21 - 7921*k**2/14 - k + 5464. Find q such that x(q) = 0.
-89, -1, 1
Let w(o) = o**3 + 31*o**2 + 28*o - 52. Let l be w(-30). Let -l*s + s**2 + 44 + 62 + s**2 - 12*s - 154 = 0. Calculate s.
-2, 12
Suppose g + 9*i - 7*i + 9 = 0, -g + i = -12. Let h(q) be the second derivative of -1/6*q**g - 1/36*q**6 + 5/6*q**3 - 31*q - 5/72*q**4 + 0 + 0*q**2. Factor h(n).
-5*n*(n - 1)*(n + 2)*(n + 3)/6
Let n(s) be the first derivative of s**5/15 - 43*s**4/12 - 98*s**3/3 - 16*s**2/3 + 1568*s/3 + 9678. Factor n(p).
(p - 49)*(p - 2)*(p + 4)**2/3
Find j such that 68*j - 3*j - 23*j**2 + 58 - 100 = 0.
1, 42/23
Let p = -70 - -16. Let m = -46 - p. Find h such that 7*h + h - 12*h**4 - 5*h**3 + 16*h**2 + m*h**4 - 12 - 3*h**3 = 0.
-3, -1, 1
Let h(s) be the second derivative of s**4/12 + 13*s**3/6 + 11*s**2 + 2602*s. Determine m so that h(m) = 0.
-11, -2
Let h = -69964 - -69964. Determine l, given that 0*l + h - 1/3*l**2 = 0.
0
Let g(p) = -7*p**3 + 35*p**2 + 5*p - 25. Let b be g(5). Let f(o) be the first derivative of -1/10*o**4 - 4/5*o**2 + b*o + 2/3*o**3 + 17. Solve f(m) = 0 for m.
0, 1, 4
Let t(a) = -2*a**2 - 2. Let r(u) = 7*u**2 - u + 14. Let c = -194 - -197. Let p(k) = c*r(k) + 12*t(k). What is m in p(m) = 0?
-3, 2
Let v(d) be the third derivative of -d**8/224 + 3*d**7/28 + 3*d**6/40 - 31*d**5/2 + 75*d**4/2 + 27*d**2 + 85*d. What is q in v(q) = 0?
-6, 0, 1, 10
Suppose -3*p - 2*y = -15, -2*y = -4*p - 6 + 12. Let g be (-1 - (-16)/12) + (-9)/189. Solve -6/7*x**2 + g*x**4 - 4/7*x**p + 0*x + 0 = 0.
-1, 0, 3
Let t(p) = -6*p - 4. Let k be t(-14). Let d = k - 75. Find i such that -i**3 - 3*i**5 + 4*i**3 + 0*i**5 + 0*i**d = 0.
-1, 0, 1
Let j(w) = -388*w + 16298. Let k be j(42). Factor -1/5*i**4 + 0*i + 1/5*i**5 - i**3 + 0 - 3/5*i**k.
i**2*(i - 3)*(i + 1)**2/5
Suppose 0*u + 2*z + 16 = 3*u, -u + 10 = -3*z. Let o be (-24)/18*(-6)/u. Factor 10*i**2 + o*i + 11*i**2 - 6*i + 3 - 20*i**2.
(i - 3)*(i - 1)
Suppose -4*w + r + r + 122 = 0, 0 = -4*r - 20. Let l be (-7)/(147/w)*-3. Factor 18/7*s + l + 2/7*s**2.
2*(s + 2)*(s + 7)/7
Solve -36 - 1/3*p**2 - 13*p = 0 for p.
-36, -3
Let j = 1019 + -1013. Let v(q) be the second derivative of 7/24*q**4 + 0*q**2 + 1/60*q**j + 27*q + 0 + 1/4*q**3 + 1/8*q**5. Solve v(y) = 0 for y.
-3, -1, 0
Let l(b) be the second derivative of b**6/162 - 11*b**5/180 + b**4/12 - 29*b**3/2 + 39*b. Let c(s) be the second derivative of l(s). Solve c(i) = 0 for i.
3/10, 3
Let a(k) be the third derivative of -k**6/960 + 463*k**5/160 - 214369*k**4/64 + 99252847*k**3/48 + k**2 + 1311. What is f in a(f) = 0?
463
Let y = 34 + 12. Factor -3*w**3 + 4*w**3 + 20*w**3 - 35*w**2 - 10*w - y*w**3.
-5*w*(w + 1)*(5*w + 2)
Determine b, given that -514 + 814*b**2 + 2*b**3 - 302*b - 368*b**2 + 122 - 354*b**2 = 0.
-49, -1, 4
What is p in 520/9 - 2/9*p**3 + 40/3*p**2 + 214/3*p = 0?
-4, -1, 65
Suppose -31*m + 880 = 4*y - 26*m, -3*y + 691 = -4*m. Suppose -y*g - 8 = -227*g. What is a in 20/9*a**g - 68/9*a**3 - 44/9*a + 8/9 + 28/3*a**2 = 0?
2/5, 1
Suppose -4 = 2*j - 2*u, -2*j - u + 12 = u. Let q be (-2)/j*((-35)/5 + 4). Factor 20*z**4 + 5*z**q + 10 - 7 + 7 + 25*z - 60*z**2.
5*(z - 1)**2*(z + 2)*(4*z + 1)
Let a be 10*(-6)/20*4/(-26). Find b, given that 4/13 - 2/13*b**4 - 2/13*b**2 - a*b + 6/13*b**3 = 0.
-1, 1, 2
Let -32/5*u**2 + 4/5*u**3 - 12*u + 216/5 = 0. What is u?
-3, 2, 9
Let l(v) be the second derivative of -5*v**7/42 - v**6 - 9*v**5/4 - 9720*v. Factor l(k).
-5*k**3*(k + 3)**2
Suppose -2076*w - 52*w = 0. Factor 4/3*u**3 - 2/3*u**4 - 2/3*u**5 + 0*u + 0 + w*u**2.
-2*u**3*(u - 1)*(u + 2)/3
Let t(i) be the third derivative of 3*i**6/20 + 23*i**5/20 + 27*i**4/8 + 5*i**3 + 2340*i**2. Factor t(z).
3*(z + 1)*(z + 2)*(6*z + 5)
Let s(k) = -2*k**3 - 213*k**2 - 8217*k - 101312. Let h(i) = 8*i**3 + 855*i**2 + 32867*i + 405246. Let f(d) = 6*h(d) + 22*s(d). Let f(w) = 0. What is w?
-37
Let 152*x + 23104 + 1/4*x**2 = 0. Calculate x.
-304
Let q(x) = x**3 - 22*x**2 - 19*x - 90. Let c be q(23). Let r(w) be the first derivative of 5/4*w**4 - 3*w + 11/2*w**c - 11 - 13/3*w**3. Factor r(v).
(v - 1)**2*(5*v - 3)
Let b(w) = -w**3 - 13*w**2 - 10*w + 60. Let v be b(-12). Factor v*k + 13 + 15 + 11 - 3*k**2.
-3*(k - 13)*(k + 1)
Suppose -47*a + 48*a = -n + 5, -3*n = -a - 15. Factor 466*x**5 + 15*x**2 + n*x**3 - 933*x**5 - 10*x - 15*x**4 + 472*x**5.
5*x*(x - 2)*(x - 1)**2*(x + 1)
Let v be (0 - 1 - (-36)/30)/(4740/3950). Factor -v*a**3 + 0 - 1/3*a + 1/2*a**2.
-a*(a - 2)*(a - 1)/6
Let w(r) be the third derivative of -r**10/50400 + r**8/2240 + r**7/840 + r**5/6 - 5*r**4/24 + 152*r**2. Let q(x) be the third derivative of w(x). Factor q(o).
-3*o*(o - 2)*(o + 1)**2
Suppose 0 = 21451*x - 21600*x + 41 + 406. Factor -65/2*i + 5/2*i**x + 25/2*i**2 + 35/2.
5*(i - 1)**2*(i + 7)/2
Let y(t) = t**2 + 24*t + 2. Let f be y(-24). Find g such that -16*g + 2*g**2 + 18 - 9*g**2 + 4*g**f + g**2 = 0.
-9, 1
Suppose 8 + 118 = 39*t + 9. Let h(b) be the second derivative of 1/20*b**5 - 1/5*b**6 + 11/6*b**t + 4/3*b**4 + 7*b + b**2 + 0. Solve h(i) = 0 for i.
-1, -1/2, -1/3, 2
Factor 163/2 - o**2 + 325/2*o.
-(o - 163)*(2*o + 1)/2
Let d(r) be the second derivative of 3*r**5/4 - 43*r**4/2 + 13*r**3/2 + 102*r**2 + 229*r - 11. Factor d(p).
3*(p - 17)*(p - 1)*(5*p + 4)
Let k(n) be the second derivative of -1/24*n**4 - 1/20*n**6 + 11/80*n**5 + 16 - 1/2*n**3 + n + n**2 + 1/168*n**7. Factor k(d).
(d - 2)**3*(d - 1)*(d + 1)/4
Let a = 9967/2 + -4982. Let y(c) be the second derivative of 5/4*c**3 + 1/2*c**4 + a*c**2 + 3/40*c**5 - 12*c + 0. Factor y(f).
3*(f + 1)**2*(f + 2)/2
Let v(g) be the second derivative of -g**4/12 + 1379*g**3/3 - 1901641*g**2/2 - 11*g + 119. Factor v(y).
-(y - 1379)**2
Let k(h) be the first derivative of -h**3/5 + 63*h**2/2 - 312*h/5 - 15279. Find l, given that k(l) = 0.
1, 104
Let o(b) be the third derivative of -b**6/180 + 11*b**5/135 - 29*b**4/108 - 10*b**3/9 + 10*b**2 + 19*b. Suppose o(h) = 0. Calculate h.
-2/3, 3, 5
Let x(n) = 8*n - 4. Let t(v) = v - 1. Let s be t(2). Let p be x(s). Factor 18*f**2 + 5*f**4 - 18*f**3 + 3*f**p - 6*f**2 - 2*f.
2*f*(f - 1)**2*(4*f - 1)
Let o(y) be the first derivative of -50 + 5/4*y**4 + 235/3*y**3 + 1320*y**2 - 2880*y. Factor o(r).
5*(r - 1)*(r + 24)**2
Determine k, given that -1/4*k**3 + 5/2*k - 3/4*k**2 + 0 = 0.
-5, 0, 2
Let a(g) be the third derivative of 0*g - 20 + 1/15*g**4 - 1/150*g**5 + 4*g**2 - 4/15*g**3. Factor a(z).
-2*(z - 2)**2/5
Let q be (-2 - (-6 - -2))*1. Factor -9*c**q + 5*c**3 + 32*c**2 + 45*c - 15*c + 12*c**2.
5*c*(c + 1)*(c + 6)
Let r be (-9)/(-36) - (-4)/((-1776)/195). Let y = r + 10