 w(c) = 0. What is c?
-1/4, 0, 1/23, 3
Factor -15977 + 2*u**3 + 16560*u + 1395 + 2749 - 362*u**2 - 4367.
2*(u - 90)**2*(u - 1)
Let t(z) = -27. Let i(x) = x - 28. Let w(g) = -5*i(g) + 4*t(g). Let d be w(6). Find n such that -10 - n**3 - 3*n**3 - 11*n**3 + 154*n**2 - 114*n**d - 15*n = 0.
-1/3, 1, 2
Let w(f) = 17 + 17*f + 21*f - 39*f. Let n be w(12). Factor 20*p**4 - 9*p**4 - 17*p**4 + 3*p**n.
3*p**4*(p - 2)
Find l, given that 0 + 2/11*l**4 - 24/11*l**3 + 72/11*l**2 - 64/11*l = 0.
0, 2, 8
Let x(w) = -43*w**2 - 328*w - 285. Let l be x(-1). Factor 1/3*b**4 + l*b**3 - 1/6*b + 1/6*b**5 - 1/3*b**2 + 0.
b*(b - 1)*(b + 1)**3/6
Suppose 0 = 5*b + 15, 4*z - 2*b + 4 = 2*b. Let n be 4*(21/4 + z). Determine o, given that 3*o**2 + 37*o - 3*o**2 + n*o**2 - 15 - 27*o = 0.
-3, 1
Let -9*d**2 - 264*d + 73*d**2 - 47*d**2 - 13*d**2 = 0. Calculate d.
0, 66
Let v = 71013 + -781141/11. Factor 40/11 + v*f**2 + 18/11*f.
2*(f + 4)*(f + 5)/11
Let t(p) = -2*p**5 - 2*p**4 + 2*p**3 + 2*p**2 - 2*p. Let f(m) = m**3 - m**2 + m. Suppose 2*u = 9 - 17. Let l(x) = u*f(x) - 2*t(x). Determine g so that l(g) = 0.
-2, 0, 1
Let n(m) be the third derivative of -1/15*m**5 + 2*m**2 + 1/12*m**4 + 0*m + 0 + 2*m**3. Factor n(u).
-2*(u - 2)*(2*u + 3)
Let j(w) = -w**3 + 8*w**2 - 4*w - 5. Let m be j(7). Suppose 20*o - m = 16*o. Solve -2 + 7 + s**4 - 3 + s**o - 4*s**2 = 0.
-1, 1
Let j(s) = s**2 - 6*s - 20. Suppose a + 2*a = -g + 25, -g - 10 = -4*a. Let o be j(g). Determine x, given that -o*x + 22*x + 5 - 1 - 2*x**2 = 0.
-1, 2
Suppose 1/8*a - 5/4*a**4 - 1/4*a**3 + 1/8*a**5 + 5/2*a**2 - 5/4 = 0. What is a?
-1, 1, 10
Let a(l) be the first derivative of l**4/10 - 124*l**3/15 - 1439. Determine x, given that a(x) = 0.
0, 62
Let t(u) be the second derivative of 0*u**3 - 32 - 1/48*u**4 + 2*u + 1/160*u**5 + 0*u**2. Suppose t(q) = 0. Calculate q.
0, 2
Let n(m) be the second derivative of m**6/720 + 11*m**5/240 - m**4/4 - 12*m**3 + m + 23. Let s(y) be the second derivative of n(y). Factor s(a).
(a - 1)*(a + 12)/2
Solve 660 - 9*l**2 - 349 + 3*l**2 + 279 + 11*l**2 - 595*l = 0 for l.
1, 118
Let n(t) = 577*t + 3465. Let m be n(-6). Let x(r) be the third derivative of -1/8*r**4 - 3/2*r**m - 1/240*r**5 - 8*r**2 + 0*r + 0. Let x(v) = 0. Calculate v.
-6
Suppose -2*w + 2 = -5*d - 11, 2*w - 3*d = 3. Let z(n) = -5*n - 26. Let t be z(w). Factor 0*c + 3*c**4 + 3*c**3 - 5*c**4 + c**3 - t*c + 2.
-2*(c - 1)**3*(c + 1)
Let 38/3*t + 2/5*t**3 - 572/15*t**2 + 0 = 0. What is t?
0, 1/3, 95
Let w = 99026 + -99022. Factor -w*x - 9*x**2 - 7/2*x**3 + 0.
-x*(x + 2)*(7*x + 4)/2
Let b(k) = 32*k + 4. Let d be b(0). Let f = -13/5 - -57/20. Factor 0*c - 5/4*c**5 - 3/4*c**3 + 0 + 9/4*c**d - f*c**2.
-c**2*(c - 1)**2*(5*c + 1)/4
Let u(c) be the third derivative of -1/40*c**5 + 0 - 82*c**2 + 4*c**3 + 15/16*c**4 + 0*c. Let u(m) = 0. Calculate m.
-1, 16
Suppose 42 = 4*s + 30. Let -4*c**2 + 0*c**4 + 13*c**2 - s*c**4 + c + 5*c = 0. What is c?
-1, 0, 2
Let g(l) be the first derivative of -165 + 0*l + 2/21*l**3 + 55/7*l**2. Find r, given that g(r) = 0.
-55, 0
Let d(y) = -7*y**2 - 46*y + 88. Let a be d(-8). Let f(p) be the first derivative of -6*p**2 + 3/2*p**3 + a*p - 1/8*p**4 + 9. Determine w so that f(w) = 0.
1, 4
Let b = -384 - -399. Factor -3 - b - 3*x + 381*x**2 - 380*x**2.
(x - 6)*(x + 3)
Suppose -6*u + 2*u = 2*m - 976, 4*m = 3*u - 743. Factor -145*t - 132 + u - 45*t**2 - 143.
-5*(t + 3)*(9*t + 2)
Let l(s) be the first derivative of -14*s**6/15 + 559*s**5/25 - 507*s**4/10 + 427*s**3/15 + 46*s**2/5 - 36*s/5 - 205. Determine h, given that l(h) = 0.
-2/7, 1/4, 1, 18
Determine v, given that 385119 + 123*v - 385535 - 23*v + v**2 = 0.
-104, 4
Let h(z) be the third derivative of -z**7/210 - 13*z**6/60 + 29*z**5/15 - 5*z**4 + 3*z**2 - 588*z - 1. Factor h(i).
-i*(i - 2)**2*(i + 30)
Let g be (-6)/(-30) + 144/30. Let u(y) be the second derivative of -11*y + 0*y**2 - 1/60*y**4 + 1/50*y**g + 0*y**3 + 0 - 1/150*y**6. Factor u(n).
-n**2*(n - 1)**2/5
Let x(g) be the first derivative of -35/4*g**4 - 5*g**2 + 0*g + 2*g**5 + 74 + 35/3*g**3. Factor x(k).
5*k*(k - 2)*(k - 1)*(2*k - 1)
Factor -22090*b - 36*b**3 + 39*b**3 + 22414*b + 5832 - 90*b**2.
3*(b - 18)**2*(b + 6)
Let x(d) be the first derivative of 93*d**5/20 + 107*d**4/8 - 7*d**3/12 - 31*d**2/2 + d - 718. Suppose x(j) = 0. Calculate j.
-2, -1, 1/31, 2/3
Suppose -7*x + 27*x = 40. Factor 72*j**x - 136*j**2 - 81 - 63*j + 81*j**2 - j**3.
-(j - 9)**2*(j + 1)
Let n(u) be the third derivative of u**7/105 + 4*u**6/15 - 89*u**5/15 - 100*u**4/3 - 69*u**3 - u**2 + 3*u + 18. Factor n(o).
2*(o - 9)*(o + 1)**2*(o + 23)
Let y(l) = -15*l**3 - 57*l**2 - 330*l - 564. Let w(t) = -26*t**3 - 114*t**2 - 661*t - 1129. Let p(n) = -3*w(n) + 5*y(n). Determine r, given that p(r) = 0.
-9, -7, -3
Let u = 28444 + -28440. Let j(k) be the first derivative of -1/10*k**u + 0*k**2 - 8/15*k**3 + 0*k + 4. Determine f so that j(f) = 0.
-4, 0
Let v = 119958 - 119955. Determine i, given that 72/5*i + 48/5 + 3/5*i**v + 27/5*i**2 = 0.
-4, -1
Factor -12/5*f**2 - 664/5*f + 448/5.
-4*(f + 56)*(3*f - 2)/5
Let w = -1803159 + 3606321/2. Determine z so that -30*z + 12*z**2 - w*z**3 + 24 = 0.
2, 4
Let 38/5*v - 81/2 + 1/10*v**2 = 0. What is v?
-81, 5
Let d = -17 - -21. Suppose -d*b + 6 = -2*b. Factor -5*n**b - 15*n - 20*n**2 + 18 - 18.
-5*n*(n + 1)*(n + 3)
Factor 2/9*i**4 + 110/9*i**3 + 212/9*i**2 + 0 + 0*i.
2*i**2*(i + 2)*(i + 53)/9
Suppose -4*f + 3*r - 29 = 0, 3*f - 23*r = -24*r - 12. Let x(o) = 8*o**2 + 72*o + 654. Let u(z) = -7*z**2 - 72*z - 653. Let s(y) = f*x(y) - 6*u(y). Factor s(w).
2*(w + 18)**2
Let l(q) be the first derivative of q**7/210 + 3*q**6/5 + 108*q**5/5 - 137*q**2 + 74. Let o(m) be the second derivative of l(m). Find f, given that o(f) = 0.
-36, 0
Suppose 7*a - c = 8*a - 2, 8 = 4*a + 2*c. Suppose a = 2*v + 2*d, 0 = 9*d - 7*d + 2. Solve 0*m - 3/2*m**3 - 3*m**4 + 0 + 3*m**v + 3/2*m**5 = 0 for m.
-1, 0, 1, 2
Factor -82/3*b**2 - 14/3*b + 0.
-2*b*(41*b + 7)/3
Suppose 0 = -6*j + 881 + 2017. Let a = j + -2407/5. Let -a - 2/5*u**2 - 8/5*u = 0. What is u?
-2
Let -290/3*d**2 + 72/5*d + 486/5*d**4 - 8/15 - 72/5*d**3 = 0. Calculate d.
-1, 2/27, 1
Let -1684/3*z**2 + 1417928/3*z + 2/9*z**3 - 1193895376/9 = 0. Calculate z.
842
Suppose -493 = -5*l + 2*g, 0 = -3*l - 4*g + 162 + 113. Factor -105*j - 63*j**2 + l + 136 - 109 - 3*j**3 + 47.
-3*(j - 1)*(j + 3)*(j + 19)
Let p(g) be the first derivative of g**4 - 32*g**3/3 + 24*g**2 + 10999. What is t in p(t) = 0?
0, 2, 6
Let z(l) be the second derivative of l**3/6 - 3*l**2/2 - 34*l. Let s be z(7). Factor s*a**2 - a**2 - a**2 - 47 + 35 + 2*a.
2*(a - 2)*(a + 3)
Determine l, given that 36 - 4/3*l**5 - 12*l**4 - 104/3*l**3 - 24*l**2 + 36*l = 0.
-3, -1, 1
Suppose 6*n = 3*n - 39. Let f = -7 - n. Factor 4 + 0*v + f*v**2 - v + 10*v + v**3.
(v + 1)**2*(v + 4)
Let l(q) = q**3 + 4*q. Let r(a) = -2*a**3 - 88*a**2 - 3*a + 88. Let t(x) = 3*l(x) + 3*r(x). Factor t(p).
-3*(p - 1)*(p + 1)*(p + 88)
Let m = -664 + 634. Let c be (-2 - -4)*(-9)/m. Find x, given that c*x**4 - 4/5*x - 1/5*x**3 + 0 - 8/5*x**2 = 0.
-1, -2/3, 0, 2
Let s(r) be the third derivative of r**6/420 + 17*r**5/210 + 43*r**4/42 + 16*r**3/3 + 337*r**2. What is u in s(u) = 0?
-8, -7, -2
Suppose -2*u - 2*g + 4 = 0, 35 = 5*u - 4*g - 11. Suppose -33*r + 31*r = -u. Solve -1/11*p**r - 1/11 + 1/11*p + 1/11*p**2 = 0.
-1, 1
Let g(w) be the first derivative of -2*w**5/95 - 16*w**4/19 - 410*w**3/57 - 318*w**2/19 - 288*w/19 - 760. Let g(z) = 0. Calculate z.
-24, -6, -1
Let n(h) be the third derivative of -h**7/210 - h**6/40 + h**5/3 + 7*h**4/2 + 40*h**3/3 - 1698*h**2. Let n(l) = 0. Calculate l.
-4, -2, 5
Factor -31*i + 54*i - 34*i - i**2.
-i*(i + 11)
Let p(s) be the second derivative of 15*s - 4*s**2 + 0*s**4 + 1/300*s**5 - 1/30*s**3 + 0. Let z(o) be the first derivative of p(o). Factor z(n).
(n - 1)*(n + 1)/5
Let c be -1*(-37)/7 + 17360/(-60760). Find n such that -3/10*n**c + 39/5*n**2 + 0 + 49/10*n**3 - 2/5*n**4 - 36/5*n = 0.
-3, 0, 2/3, 4
Suppose 95 = -6*h - 91. Let a be 488/124 - 2/h. Factor 3/2*j**a + 9/2 - 15*j + 18*j**2 - 9*j**3.
3*(j - 3)*(j - 1)**3/2
Let a(u) be the first derivative of -27/8*u**4 - 74 - 2*u**3 + 0*u + u**2. Factor a(o).
-o*(3*o + 2)*(9*o - 2)/2
Suppose -6*x + 27 = 39. Let p(k) = -3*k**4 - 18*k**3 + 74*k**2 - 78*k + 29. Let b(m) = -m**2 - 1. Let o