.
-15, 5/3
Factor -21/4 + 73/4*x - 59/4*x**2 + 7/4*x**3.
(x - 7)*(x - 1)*(7*x - 3)/4
Let z(x) be the first derivative of -5/4*x**4 + 5/2*x**2 + 5*x - 5/3*x**3 + 6. Let z(a) = 0. What is a?
-1, 1
Let 41 + 75 + 3*l**3 - 236*l + 172*l**2 - l**3 - 48*l**2 - 6*l**3 = 0. What is l?
1, 29
Let a = -30 - -24. Let l = a - -26/3. Factor 0 - 50/3*j**4 + 10/3*j**3 + l*j + 32/3*j**2.
-2*j*(j - 1)*(5*j + 2)**2/3
Determine j, given that 522*j**2 - 2*j**4 + 3*j**5 - 39*j**3 + 24*j + 0*j**4 - 532*j**2 = 0.
-3, -1, 0, 2/3, 4
Let l = 214331261/62167 + 399/8881. Let s = l + -3442. Determine o so that -8/7*o + 0 - 34/7*o**3 + s*o**2 - 40/7*o**4 + 6*o**5 = 0.
-1, 0, 2/7, 2/3, 1
Let w(s) be the first derivative of -s**6/150 + s**5/100 + s**4/60 - s**3/30 + 2*s + 13. Let c(j) be the first derivative of w(j). Solve c(l) = 0.
-1, 0, 1
Let 3*j**5 - 12*j**3 + 0*j + 0 - 12/5*j**2 + 3/5*j**4 = 0. Calculate j.
-2, -1/5, 0, 2
Let u be (-156)/(-27) - -3*4/54. Find n such that -4*n**2 + 4*n**2 + 3 + u*n**2 - 8*n + 17*n = 0.
-1, -1/2
Let m(c) be the first derivative of c**4/34 - 6*c**3/17 + 216*c/17 + 250. Factor m(l).
2*(l - 6)**2*(l + 3)/17
Let y(d) be the third derivative of -d**7/525 - d**6/50 - 13*d**5/150 - d**4/5 - 4*d**3/15 + 38*d**2 + 1. Factor y(x).
-2*(x + 1)**2*(x + 2)**2/5
Let t(o) = 57*o**3 + 55*o**3 - 109*o**3 - 2*o**2 + 6*o - 7*o**2. Let h(a) = -2*a**3 + 5*a**2 - 3*a. Let g(l) = 5*h(l) + 3*t(l). Factor g(c).
-c*(c - 1)*(c + 3)
Let r be (1*2)/((793/(-26))/(-61)). Factor 0*f**3 + 0 + 4/9*f + 2/9*f**r - 2/3*f**2.
2*f*(f - 1)**2*(f + 2)/9
Let u be (-6)/(-4)*1 - 145/(-58). Let x(s) be the first derivative of -6 - 1/9*s**3 - 1/3*s**2 + 0*s + 1/6*s**u + 1/15*s**5. Suppose x(v) = 0. Calculate v.
-2, -1, 0, 1
Let t(l) be the second derivative of 0*l**2 + 25*l + 1/225*l**6 - 1/150*l**5 + 0 - 1/15*l**4 + 0*l**3. Factor t(k).
2*k**2*(k - 3)*(k + 2)/15
Let o(v) = -7*v**5 + 27*v**4 + 29*v**3 - 27*v**2 - 22*v. Let j(n) = 6*n**5 - 27*n**4 - 30*n**3 + 27*n**2 + 24*n. Let y(r) = -4*j(r) - 3*o(r). Solve y(k) = 0.
-1, 0, 1, 10
Let n(z) be the third derivative of -1/16*z**4 + 1/672*z**8 + 0*z - 1/60*z**5 + 1/120*z**6 + 1/140*z**7 + 0 + 7*z**2 - 1/12*z**3. Let n(f) = 0. Calculate f.
-1, 1
Let m be ((-2)/(-6)*-1)/(27/(-1215)). Solve 0 - 15*n**2 - 3 - m + 6*n - 57*n = 0.
-3, -2/5
Let r(b) be the third derivative of b**6/240 - 7*b**5/120 - 17*b**4/48 - 3*b**3/4 - 3*b**2 - 7*b. Factor r(g).
(g - 9)*(g + 1)**2/2
Let y be (1343/170 - 7)*5/12. Find f, given that y*f + 1/4 + 1/8*f**2 = 0.
-2, -1
Let m(r) be the first derivative of r**4/4 - 2*r**3 + 2*r**2 + 8*r - 70. Let x be m(5). Determine q so that -1/7*q**4 + 0*q**x + 4/7*q**2 + 0*q + 0 = 0.
-2, 0, 2
Let s(m) be the first derivative of -m**4 + 8*m**3 - 18*m**2 + 16*m + 76. Let s(o) = 0. What is o?
1, 4
Let p(q) be the third derivative of -q**8/1176 + q**7/735 + q**6/70 - 2*q**5/105 - 2*q**4/21 - 658*q**2. Let p(s) = 0. What is s?
-2, -1, 0, 2
Let c be 2 + 0 + (-1 - -15). What is j in -4 - 13*j + 20 - 47*j - c*j**2 = 0?
-4, 1/4
Let d(s) be the third derivative of -s**7/1050 + s**6/600 + 2*s**5/75 - s**4/10 - 35*s**2. Solve d(i) = 0 for i.
-3, 0, 2
Let u be 5/((-10)/4) - (7 + -9). Suppose -4*l + 3*p + 3 = -l, u = 4*l + 5*p + 5. Factor l*j + 0 + 1/2*j**2.
j**2/2
Let o(h) be the first derivative of 3*h**4/4 - 9*h**3 + 36*h**2 - 48*h + 76. Let o(d) = 0. What is d?
1, 4
Let k(u) = -2*u**4 + 6*u**3 + 24*u**2 - 16*u - 32. Let r(x) = x**4 + x**3. Let y(p) = k(p) - 2*r(p). Find l, given that y(l) = 0.
-2, -1, 2
Let g = 745 + -741. Let v(b) be the second derivative of b + 0*b**5 - 1/3*b**3 + 0*b**2 - 1/4*b**g + 1/30*b**6 + 0. Factor v(k).
k*(k - 2)*(k + 1)**2
Let i(m) = -4*m**4 - 25*m**3 + 20*m**2 - 5*m + 7. Let k(s) = -3*s**4 - 17*s**3 + 13*s**2 - 3*s + 5. Let b(p) = 5*i(p) - 7*k(p). Find y such that b(y) = 0.
0, 1, 4
Let g(b) = -b**3 + 8*b**2 - 21*b + 23. Let s be g(4). Factor 0*k**2 + 0*k + 0 + 2/13*k**s.
2*k**3/13
Suppose 3*l = 3*c + 3 - 27, c + 4*l = 33. Suppose 15*s = c*s + 4. Factor 0 - 6/5*q**s - 2/5*q.
-2*q*(3*q + 1)/5
Determine q, given that 2/7*q**5 + 0*q + 2/7*q**3 + 0 + 8/7*q**4 - 12/7*q**2 = 0.
-3, -2, 0, 1
Let p(q) = -q**2 + 5*q - 1. Let g be p(3). Let j = 104 + -98. Let 20*u + u**5 - 16*u**3 - j*u**g + u**5 + 16*u**4 - 8 + 0*u**5 - 8*u**2 = 0. What is u?
-1, 1, 2
Let v(u) = -14*u - 68. Let z = -151 + 146. Let b be v(z). Factor -1/4 + 0*o + 1/4*o**b.
(o - 1)*(o + 1)/4
Let q be (144/126)/((-150)/(-14) - 3). Let u(h) be the first derivative of 5 + 0*h**2 + q*h**3 + 0*h + 7/18*h**4. Factor u(c).
2*c**2*(7*c + 2)/9
Let z be 24/21 + (-7 - 246/(-42)). Let y(h) be the second derivative of -3*h + 1/8*h**3 + z - 3/80*h**5 + 3/8*h**2 - 1/16*h**4. Factor y(g).
-3*(g - 1)*(g + 1)**2/4
Suppose -13*j = -4*j - 171. Let a be 2/j + 72/38. Find h such that -10/7*h**a + 10/7*h**4 - 6/7*h**5 + 2/7*h**3 + 0 + 4/7*h = 0.
-1, 0, 2/3, 1
Suppose 2*g + 6 = -2*m, -3*m - 165*g - 15 = -161*g. Let -3/2 + 1/2*w**2 + 5/4*w - 1/4*w**m = 0. What is w?
-2, 1, 3
Let j(r) be the first derivative of 2744*r**5/85 - 343*r**4/34 - 56*r**3/17 + 29*r**2/17 - 4*r/17 + 223. Solve j(b) = 0 for b.
-2/7, 1/7, 1/4
Let m = -9/31 + 58/93. Let c(z) be the first derivative of 2*z**2 - 3*z + 2 - m*z**3. Factor c(j).
-(j - 3)*(j - 1)
Solve 4*g**5 + 88*g**2 - 41*g**4 - 120 + 48*g**3 - 52*g**4 - 55*g**4 + 116*g**4 - 116*g = 0.
-1, 2, 3, 5
Suppose 3*q + 6 = 0, -5*s + 3*q = 6*q - 69. Let z be 110/(-825) - (-47)/s. Factor -1/9*a**z - 2/9*a + 0 + 1/3*a**2.
-a*(a - 2)*(a - 1)/9
Let l(c) be the second derivative of -c**5/60 - 19*c**4/36 - 11*c**3/2 - 27*c**2/2 - 2*c + 82. Solve l(w) = 0 for w.
-9, -1
Let l(v) be the second derivative of -867*v**5/20 + 391*v**4/6 - 74*v**3/3 + 4*v**2 + 160*v. Suppose l(z) = 0. Calculate z.
2/17, 2/3
Let c(f) be the first derivative of -f**4/26 + 2*f**3/39 + 10*f**2/13 + 16*f/13 - 8. Determine h so that c(h) = 0.
-2, -1, 4
Factor 23/5*b**2 + 1/5*b**4 - 2*b**3 - 14/5*b + 0.
b*(b - 7)*(b - 2)*(b - 1)/5
Let c(a) = -3*a**3 + 2*a**2. Suppose -4*w = 21 - 9. Let n be w - -2*3 - 4. Let u(k) = -k**3. Let q(s) = n*c(s) + 4*u(s). Factor q(j).
-j**2*(j + 2)
Let u(o) be the second derivative of -o**6/120 + o**5/4 - 31*o**4/16 + 21*o**3/4 + 48*o - 1. Factor u(m).
-m*(m - 14)*(m - 3)**2/4
Let z be (-6 - -7)*1*2. Suppose 2*n = -z*n + 16. Find v such that 36/5*v**2 - 4*v**3 - 28/5*v + 8/5 + 4/5*v**n = 0.
1, 2
Factor 0 - 3/2*o**5 + 9/2*o**2 + 3/2*o**4 + 15/2*o**3 + 0*o.
-3*o**2*(o - 3)*(o + 1)**2/2
Suppose 0 = -4*k - 4*i - 4, -807*k = -808*k + 5*i + 23. Factor 3*x**2 + 0 + 1/2*x**k - 7/2*x.
x*(x - 1)*(x + 7)/2
Let c = -5218/9 - -580. Let j(k) be the first derivative of 4/9*k**3 - 4/9*k**2 - 3 - c*k**4 + 2/9*k + 2/45*k**5. Solve j(d) = 0.
1
Let p be 4/6 + 40/12. Suppose -s - 1 = -p. What is l in 0 - 2*l + 0 - 2*l**s + 4*l = 0?
-1, 0, 1
Let o(g) be the third derivative of -g**8/1176 - 4*g**7/735 + g**6/420 + 2*g**5/105 + 54*g**2 + g. Determine c, given that o(c) = 0.
-4, -1, 0, 1
Let l(b) = -b**2 - b. Let y(f) = f**2 - 26*f + 17. Let u(n) = -4*l(n) + y(n). Let v(d) = -15*d**2 + 67*d - 52. Let s(x) = 8*u(x) + 3*v(x). Factor s(o).
-5*(o - 4)*(o - 1)
Suppose -3*c = -a - 9, -2*c + 7 + 3 = -2*a. Factor 2*h**4 + 0*h**5 + 2*h**5 - c*h**3 - 68*h**2 + 66*h**2.
2*h**2*(h - 1)*(h + 1)**2
Let s = 7393/7 + -1054. Suppose -12/7*j + 18/7*j**2 + 3/7*j**4 - 24/7 + s*j**3 = 0. Calculate j.
-2, 1
Suppose -299 - 375*p**2 - 160*p + 372*p**2 + p**3 - 26 + 55*p = 0. What is p?
-5, 13
Let -313*t**2 - 3206*t - 15 + 15*t**5 + 11*t**4 - 21 + 66*t**4 + 2894*t + 25*t**3 = 0. What is t?
-3, -1, -2/15, 2
Let p(h) be the second derivative of 2/39*h**3 + 0 + 0*h**2 - 1/78*h**4 + 12*h. Solve p(a) = 0 for a.
0, 2
Let m be ((-6)/(-10))/(((-1887)/(-185))/51). Determine i so that 2/5*i**m + 0*i + 0 - 6/5*i**2 = 0.
0, 3
Suppose -120 = -7*x + 2*x. Suppose 2*f + 162 = 3*i + 4*f, -209 = -4*i - 5*f. Factor -128 + 26*y - 2*y**3 - 66*y - x*y**2 - i*y.
-2*(y + 4)**3
Let y(i) be the third derivative of -i**5/120 - 5*i**4/48 - i**3/3 + 88*i**2. Factor y(c).
-(c + 1)*(c + 4)/2
Let i(o) be the third derivative of o**7/1260 + 13*o**6/360 - 7*o**5/45 + 26*o**2. Factor i(h).
h**2*(h - 2)*(h + 28)/6
Let z be (-6)/(-30) + (-207)/(-15). Let u be 0/((-4)/(-1)) - (-4)/z. Factor -2/7*v - 4/7*v**2 + u*v**3 + 4/7.
2*(v - 2)*(v - 1)*(v + 1)