 2*d - 2. Let 5*c**2 - 4 + 65*c**4 - 127*c**4 + 61*c**a = 0. What is c?
-2, -1, 1, 2
Factor 30 + 23 + 7 - 25*b**3 + 13*b - 53*b - 85*b**2.
-5*(b + 2)**2*(5*b - 3)
Let f be (2/5)/((-10)/(-50)). Suppose 0 = -l - f + 5. Factor -l*y + 0*y - 2*y**2 - y**2 + 0*y**2.
-3*y*(y + 1)
Suppose -2*q = -63 + 23. Let i be (-60)/21 - q/(-5). Find w, given that i*w**2 + 10/7*w + 4/7 + 2/7*w**3 = 0.
-2, -1
Let q(t) be the first derivative of 5*t**3/3 + 40*t**2 + 320*t - 84. Solve q(z) = 0.
-8
Suppose -276*l**3 - 185*l**3 - 5*l**4 + 4576*l**2 + 106508*l - 99*l**3 - 28096*l**2 - 545548*l - 3073280 = 0. What is l?
-28
Let a(b) = b**3 + 7*b**2 + 8*b - 1. Let u be a(-2). Suppose -32/11 - 48/11*s - 18/11*s**2 - 2/11*s**u = 0. What is s?
-4, -1
Let q be ((-564)/48 - -7) + 6. Find p, given that 1/2*p + 7/4*p**2 + 9/4*p**3 + 1/4*p**5 + 0 + q*p**4 = 0.
-2, -1, 0
Let j(b) be the third derivative of -b**5/300 + b**4/8 + 8*b**3/15 + 186*b**2. Determine o, given that j(o) = 0.
-1, 16
Suppose -6 = -2*u + 2. Factor 9*y**4 + 4*y**5 - 3*y**3 - 3*y**4 + 3*y**3 - u*y**3.
2*y**3*(y + 2)*(2*y - 1)
Let h = -87 + 89. Let o(b) be the first derivative of 2 + 2*b**2 - 2/3*b**3 - h*b. Solve o(i) = 0.
1
Let j(z) = 4*z**2 - 2*z + 4. Let o(q) be the second derivative of 5*q**4/12 - q**3/2 + 2*q**2 - 19*q. Let s(g) = 6*j(g) - 5*o(g). What is m in s(m) = 0?
-1, 4
Let m be 231/33 - (9 - (-1 + 3)). Solve m + 4/9*b - 2/3*b**2 + 2/9*b**3 = 0.
0, 1, 2
Suppose -3530*f + 3532*f - 4 = 0. Find q such that 4/9 + 8/9*q**f + 2/9*q**3 + 10/9*q = 0.
-2, -1
Let r(k) be the second derivative of k**5/70 - k**4/14 - 10*k**3/21 + 2*k. Factor r(h).
2*h*(h - 5)*(h + 2)/7
Let h(d) = -165*d**3 + 498*d**2 + 541*d + 125. Let r(i) = -164*i**3 + 500*i**2 + 542*i + 126. Let v(w) = 2*h(w) - 3*r(w). Factor v(u).
2*(u - 4)*(9*u + 4)**2
Let q(g) be the first derivative of 3*g**5/5 + 3*g**4/4 - 2*g**3 + 72. Suppose q(i) = 0. What is i?
-2, 0, 1
Let y(a) = -2*a**3 + 26*a**2 + 45*a - 10. Let b(h) = -2*h**3 + 28*h**2 + 46*h - 12. Let k(w) = 5*b(w) - 6*y(w). Factor k(s).
2*s*(s - 10)*(s + 2)
Factor -10*h**2 + 3*h**3 + 156*h**4 + 13*h**3 - 164*h**4 + 3*h**3 - h**5.
-h**2*(h - 1)**2*(h + 10)
Suppose 2*m + 4*j = -6, -4*j = m - 2*m + 21. Suppose m*h = -2 + 12. Determine b so that -189*b**4 - 45*b**2 - 2*b**h - 10*b**2 - 180*b**3 - 6*b = 0.
-1/3, -2/7, 0
Suppose 5*l - 5*i = -8*i + 30, 5*i = 3*l - 18. Determine v, given that 2*v**3 + 2*v**4 + 1841*v**2 + 4 + 4*v - l*v - 1847*v**2 = 0.
-2, -1, 1
Let j(x) be the third derivative of -x**8/42 + 61*x**7/105 - 17*x**6/5 - 253*x**5/30 + 52*x**4/3 + 64*x**3 - 199*x**2. Let j(l) = 0. What is l?
-1, -3/4, 1, 8
Factor -1/3*v + 2 - 1/9*v**2.
-(v - 3)*(v + 6)/9
Let v(f) be the second derivative of 4*f**7/63 - 23*f**6/45 + 7*f**5/5 - 14*f**4/9 + 2*f**3/9 + f**2 + 30*f. Let v(t) = 0. Calculate t.
-1/4, 1, 3
Let h = 163/12 + -803/60. What is r in -4/5*r - r**2 - 2/5*r**3 - h = 0?
-1, -1/2
Let h be 0/(-15*(-12)/90)*(-2)/(-4). Solve -4/5*x**4 + h + 4/5*x**2 + 0*x**3 + 0*x = 0 for x.
-1, 0, 1
Let c(l) = 12*l**3 - 8*l**2. Let z(u) = u**4 - 12*u**3 + 9*u**2 - u. Let j(b) = -3*c(b) - 4*z(b). What is k in j(k) = 0?
0, 1
Let n = 19 - 19. Let i be ((-2)/(-10))/(1 + 0). Factor i*t**2 + n - 2/5*t.
t*(t - 2)/5
Let x be (-5 - -7)*(-5)/(-2). Suppose -x*c - 5*a + 30 = -c, -a = -4*c + 18. Factor -4*o**4 + 2*o**4 + o**5 + o**5 - 4*o**c.
-2*o**4*(o + 1)
Let l(f) = -12*f**3 - 31*f**2 + 103*f - 128. Let j(x) = 10*x**3 + 30*x**2 - 102*x + 128. Let y(m) = -7*j(m) - 6*l(m). Factor y(q).
2*(q - 4)**3
Let z(o) be the first derivative of o**6/3 + 16*o**5/5 - 3*o**4/2 - 52*o**3/3 - 16*o**2 + 37. Suppose z(a) = 0. Calculate a.
-8, -1, 0, 2
Let a = -1754 - -7017/4. Factor -5/2*m**3 + 27/4 + 27/4*m + 7/4*m**4 - a*m**5 - 9/2*m**2.
-(m - 3)**3*(m + 1)**2/4
Factor -168/5*a - 14/5*a**3 - 73/5*a**2 - 1/5*a**4 - 144/5.
-(a + 3)**2*(a + 4)**2/5
Let k(n) = -n**2 - 3*n**3 + n**3 + 0*n**3 + 1. Let w be k(-1). Find m such that -1/4*m**4 + 0 + 0*m**w + 1/4*m**3 + 0*m = 0.
0, 1
Suppose 10 = -5*t - 0, 5*t + 285 = 5*p. Let k(q) = 9*q**2 - 24*q - 4. Let z(r) = 125*r**2 - 335*r - 55. Let u(n) = p*k(n) - 4*z(n). Find w such that u(w) = 0.
0, 4
Let c = 150 + -150. Let y(z) be the third derivative of -2/15*z**3 - 1/60*z**4 + 5*z**2 + 0*z + c + 1/150*z**5. Determine g, given that y(g) = 0.
-1, 2
Factor 45 + 5/2*g**2 + 55/2*g.
5*(g + 2)*(g + 9)/2
Let r = 1022449/288210 - -52/739. Let x = r + 14/65. Suppose 7/6*m**2 + 1 + x*m = 0. Calculate m.
-3, -2/7
Let x be 4/2 + (-11 - -9). Suppose -2 = -m - x*m. Suppose 14*d**3 + d**4 + 19*d**m + 4*d + 2*d**4 - 3 - 1 = 0. What is d?
-2, -1, 1/3
Let m be 2/6*21 + -3. Suppose 9*v**3 - 4*v**4 - 21*v**3 - 3*v**5 + 16*v**m = 0. What is v?
0, 2
Let -8/3*p + 14/3*p**3 + 16/3*p**2 + 0 - 10/3*p**4 = 0. What is p?
-1, 0, 2/5, 2
Let i(t) = -t**2 + 5*t + 10. Let j be i(6). Let q(x) = x**2 - 4*x + 6. Let v be q(j). Suppose -2*p + 4*p**2 - 2*p**2 + v*p = 0. What is p?
-2, 0
Factor -3/4*h**3 - 1/4*h - 1/4*h**4 - 3/4*h**2 + 0.
-h*(h + 1)**3/4
Let f(b) = -b**3 - 11*b**2 + 11*b - 17. Let u be f(-12). Let g be u/((-5)/9) - 3. Factor -3 - 3*o**2 + 12 + g*o + 0*o.
-3*(o - 3)*(o + 1)
Let u(q) = -10*q**4 + 10*q**3 + 20*q**2 - 45*q + 20. Let r(n) = -n**4 + n**2 - n. Let o(x) = 5*r(x) - u(x). Factor o(k).
5*(k - 2)*(k - 1)**2*(k + 2)
Let w be ((-3)/(-2))/(-12*(-2)/80). Find t, given that -10*t - 20 - 22*t - w*t**2 + 10*t**3 + 5*t**3 - 8*t = 0.
-1, -2/3, 2
Factor 88/7*x**2 + 8/7*x + 0 - 46/7*x**3.
-2*x*(x - 2)*(23*x + 2)/7
Let b be (16/12)/(4/6). Suppose -b*w - 9 = -5*k, 2*k = w - 0 + 3. Factor -k*o**2 - 13*o**2 - 9*o + 5*o + 2.
-2*(2*o + 1)*(4*o - 1)
Suppose v - 85 = -5*x, -3*v = 2*v + 25. Let c(b) = -1. Let m(g) = -g**2 + 2*g + 8. Let a(s) = x*c(s) + 2*m(s). Let a(w) = 0. Calculate w.
1
Let d be (13/4)/((-321)/(-428)). Solve -1/3*g + g**4 + 2 + 5/3*g**3 - d*g**2 = 0.
-3, -2/3, 1
Let i(g) = 2*g**3 - 2*g**2 + 4*g + 4. Let n be (4 + 4)/(2 - 2 - -2). Let k(r) = -6*r**3 + 7*r**2 - 12*r - 11. Let p(y) = n*k(y) + 11*i(y). Factor p(l).
-2*l*(l - 2)*(l - 1)
Let 1/4*m**3 - 29/2*m - 17/4*m**2 - 10 = 0. Calculate m.
-2, -1, 20
Suppose -4*t = -1 - 7. Let -3*g - g + 2 + 2*g**t + 0*g + 0*g = 0. What is g?
1
Let g(t) be the third derivative of t**6/24 + 5*t**5/12 - 5*t**4/24 - 25*t**3/6 - 70*t**2. Solve g(q) = 0.
-5, -1, 1
Let d(l) be the third derivative of -l**8/10080 + l**6/360 + l**5/90 - 11*l**4/24 - 2*l**2. Let b(s) be the second derivative of d(s). Factor b(f).
-2*(f - 2)*(f + 1)**2/3
Let u(h) = 2*h**4 + 2*h + 1. Let c(w) = 2*w**3 - 6*w**2 - 12*w - 5. Let i(x) = -2*c(x) - 2*u(x). Factor i(k).
-4*(k - 2)*(k + 1)**3
Let k(u) = -18*u**3 + 18*u**2 + 18*u + 57. Let s(z) = -z**3 + z**2 + z + 4. Let q(n) = k(n) - 15*s(n). Factor q(c).
-3*(c - 1)**2*(c + 1)
Let t be 33/11 + ((-4)/(-2) - 124). Let g = -115 - t. Let 12*b - 3/2*b**3 - 3 + 15/4*b**g - 45/4*b**2 = 0. What is b?
-2, 2/5, 1
Factor 9*r - 21451 - 98*r**2 + 189*r**3 - 49*r**4 + 21433 + 102*r - 135*r**2.
-(r - 2)*(r - 1)*(7*r - 3)**2
Suppose 3*a - 10 = -b + a, -a + 14 = 5*b. Factor 2*g + 0*g - 3*g - b - 2*g**3 + 5*g**2.
-(g - 2)*(g - 1)*(2*g + 1)
Let g(o) be the first derivative of -o**7/70 - 19*o**6/120 + o**5/8 - 14*o**3/3 - 19. Let s(q) be the third derivative of g(q). Suppose s(b) = 0. Calculate b.
-5, 0, 1/4
Let y(g) be the first derivative of -g**7/350 + 2*g**6/225 + 2*g**5/75 + 35*g**3/3 + 29. Let z(o) be the third derivative of y(o). Suppose z(c) = 0. What is c?
-2/3, 0, 2
Suppose -1519*v + 39 = -1556*v + 150. Let 2/7*t**v - 12/7*t + 10/7*t**2 + 0 = 0. What is t?
-6, 0, 1
Let i(j) be the first derivative of 0*j - 9/28*j**4 + 3/35*j**5 + 6/7*j**2 + 0*j**3 - 14. Factor i(h).
3*h*(h - 2)**2*(h + 1)/7
Let h(a) = 2*a - 20. Let i be h(11). Let x be 1/i + 35/(-126). Solve 0*g**2 + x*g**3 - 2/9*g + 0 = 0.
-1, 0, 1
Factor 13*y**3 - 19*y**3 + 9*y**3 + 21*y**2 - 240*y + 883 - 2611.
3*(y - 9)*(y + 8)**2
Suppose -5*w = g - 7 - 17, 30 = 3*g + w. Find i such that -12*i**2 - g*i + 67 - i**3 - 2*i**3 - 67 = 0.
-3, -1, 0
Suppose -5*q = -2*c - 13, -q - 2 = c - 6*c. Let s(r) be the third derivative of 0*r - 1/108*r**4 - 7*r**2 + 2/27*r**q - 1/270*r**5 + 0. Let s(k) = 0. What is k?
-2, 1
Let t = -2754 + 289172/105. Let s(b) be the third derivative of 0*b + 0 - b**2 + 0*b**3 - 1/15*b**6 + 1/3*b**4 + 1/15*b**