 + 0 - 1/45*x**v + 2/9*x**2 + 7/54*x**4 - 6*x. Suppose t(o) = 0. What is o?
1/2, 1, 2
Let a(k) be the first derivative of -10*k**5/9 - 5*k**4/2 + 184*k**3/9 + 236*k**2/9 + 32*k/3 - 232. Determine q, given that a(q) = 0.
-4, -2/5, 3
Let p be (13/(-52))/(2/(-72)). Suppose -11*m + p*m = -6. What is n in -3/2*n**2 + 0 + 0*n - 6*n**m - 9/2*n**4 = 0?
-1, -1/3, 0
Let k(a) be the third derivative of -a**8/280 + 6*a**7/175 + 3*a**6/25 - 7*a**5/5 - 15*a**4/4 - 376*a**2. Let k(n) = 0. What is n?
-3, -1, 0, 5
Let s be (195/(-936))/((-5)/4). Let q(k) be the second derivative of 0*k**2 - s*k**4 + 11*k + k**3 + 0. Solve q(f) = 0.
0, 3
Factor 7*g**3 + 12*g**2 + 58*g + 0*g**2 - 3*g**3 - 50*g.
4*g*(g + 1)*(g + 2)
Let d = -732/49 - -5228/245. Find l such that -18/5*l**4 - 12/5*l**3 + 16/5*l + 46/5*l**2 - d = 0.
-4/3, 1
Let q(i) be the first derivative of i**5/20 + 3*i**4/16 - i**3/3 - 115. Determine x, given that q(x) = 0.
-4, 0, 1
Suppose -9*g = -18*g + 513. Let v = g - 170/3. Find i, given that v*i**2 - 1/3*i - 2/3 = 0.
-1, 2
Let i(r) be the third derivative of -r**7/14 - 2*r**6/3 - r**5/4 + 115*r**4/12 - 20*r**3 + 5*r**2 - 9. Solve i(m) = 0 for m.
-4, -3, 2/3, 1
Suppose 149 = 47*b + 8. Let p(y) be the first derivative of -4/3*y + y**b - 2 - 8/3*y**2. Factor p(s).
(s - 2)*(9*s + 2)/3
Let l be 8*(25/11)/(-5). Let o = l - -42/11. Factor 0 + o*c**4 - 4/11*c**2 + 0*c + 2/11*c**3.
2*c**2*(c - 1)*(c + 2)/11
Let m be -21 - 112/35 - -26. Suppose 19/5*l + 1/5*l**3 + 11/5*l**2 + m = 0. What is l?
-9, -1
Suppose z - 4 = -0*z. Factor -12*q**z - 3*q**4 + 50*q**5 + 7*q**2 - 12*q**3 - 3*q**2.
q**2*(2*q + 1)*(5*q - 2)**2
Let r(f) be the second derivative of f**7/13 - 59*f**6/195 + 29*f**5/130 + 11*f**4/78 - 2*f**3/39 + 500*f. Suppose r(m) = 0. What is m?
-1/3, 0, 1/7, 1, 2
Let r(q) = q**2 - q. Let u(z) = -3*z**2 - 22*z - 96. Let x(v) = 2*v**2 + 22*v + 97. Let d(i) = 3*u(i) + 4*x(i). Let j(f) = -3*d(f) - 6*r(f). Factor j(o).
-3*(o + 10)**2
Let n(y) be the first derivative of -25 + 1/4*y**2 - 1/18*y**3 - 1/3*y. Factor n(t).
-(t - 2)*(t - 1)/6
What is p in -3*p**2 + 11*p**2 + 676 + 0*p**2 - 52*p - 7*p**2 = 0?
26
Determine x so that 4260*x**2 - 4180*x**2 - 5*x**4 - 320*x + 3*x**3 + 17*x**3 = 0.
-4, 0, 4
Let t = -8783/3 - -2953. Let n = -25 + t. Factor 7/3*j**2 + 0 + 4/3*j**5 + 13/3*j**4 + 5*j**3 + n*j.
j*(j + 1)**3*(4*j + 1)/3
Let d = 6025/27 - 223. Let f(y) be the first derivative of -1/9*y**2 - 1/18*y**4 + 0*y - d*y**3 + 4. Factor f(b).
-2*b*(b + 1)**2/9
Let m(p) = -p**4 - p**3 - p**2 + p - 1. Let x(z) = 15*z**4 + 4*z**3 + 3*z**2 - 3*z + 3. Let y(k) = -12*m(k) - 4*x(k). Factor y(f).
-4*f**3*(12*f + 1)
Determine o so that 15*o**2 - 11*o**4 + 25*o**4 - 17*o**4 - 12 = 0.
-2, -1, 1, 2
Let -1 - 5*v**2 + 5*v + 15 + 16 + 0*v = 0. Calculate v.
-2, 3
Factor 32*a**2 - 128*a**3 - 42*a**4 + 124*a**3 + 10*a**4 + 4*a**5.
4*a**2*(a - 8)*(a - 1)*(a + 1)
Factor 69*t - 146*t - 2*t**2 - 6 + 69*t.
-2*(t + 1)*(t + 3)
Factor 3/2*g**4 + 9/4*g**3 + 1/4*g**5 + 0 + 0*g + g**2.
g**2*(g + 1)**2*(g + 4)/4
Suppose 4 = -2*n - 0, 5*n = -3*b + 353. Let o = b + -121. Solve -3/4*v**2 + 0 + o*v**3 + 1/2*v + 1/4*v**4 = 0.
-2, 0, 1
Let s be 0/2*(-8)/16. Let p(d) be the third derivative of 0*d + 1/120*d**6 + 0 + s*d**5 + 1/420*d**7 - 1/24*d**4 + d**2 - 1/12*d**3. What is w in p(w) = 0?
-1, 1
Let i = -2061 + 2061. Factor 0*c**2 - 3/7*c**3 + 3/7*c + i.
-3*c*(c - 1)*(c + 1)/7
Factor 72/5*r + 0 - 3/5*r**3 + 6/5*r**2.
-3*r*(r - 6)*(r + 4)/5
Let w(l) be the third derivative of l**4/6 - l**3/6 + 5*l**2. Let a be w(1). Factor 0*d + 3*d**a - 12 - d**2 - d**2 + 5*d**2 - 12*d.
3*(d - 2)*(d + 1)*(d + 2)
Factor 128*k + 192 + 2/3*k**3 + 52/3*k**2.
2*(k + 2)*(k + 12)**2/3
Let i(k) be the second derivative of -k**7/28 - 7*k**6/20 - 27*k**5/20 - 5*k**4/2 - 2*k**3 - 2*k - 135. Factor i(x).
-3*x*(x + 1)*(x + 2)**3/2
Let x(w) = w**4 - 4*w**3 - 7*w**2 + 7*w - 3. Let q(v) = -2*v**4 + 8*v**3 + 14*v**2 - 15*v + 5. Let c(u) = 3*q(u) + 5*x(u). Solve c(k) = 0.
-2, 0, 1, 5
Let o(l) = -14*l**2 - 51*l - 221. Let w(v) = -5*v**2 - 17*v - 74. Let y(z) = -4*o(z) + 11*w(z). Suppose y(h) = 0. What is h?
-10, -7
Let t be (-3)/(-20)*(-8 + 8 + 5). Let k(y) be the first derivative of -t*y + 1/16*y**4 - 1 - 5/12*y**3 + 7/8*y**2. Solve k(m) = 0.
1, 3
Let o(r) be the second derivative of -13*r**5/80 + 5*r**4/16 - r**3/12 - 55*r - 2. Factor o(h).
-h*(h - 1)*(13*h - 2)/4
Let d be (2*(-4)/160)/((-5)/20). What is l in d*l**5 - l - 4/5*l**4 + 2/5*l**2 + 2/5 + 4/5*l**3 = 0?
-1, 1, 2
Let u(d) be the first derivative of 2*d**3/3 - 4*d**2 + 8*d - 47. Factor u(y).
2*(y - 2)**2
Let n = -111 - -111. Let k be 3 + n + (-42)/16. Factor -3/8 - k*i**4 + 0*i + 3/4*i**2 + 0*i**3.
-3*(i - 1)**2*(i + 1)**2/8
Let z(x) be the third derivative of 0 + 0*x**5 - 17*x**2 + 1/1176*x**8 + 0*x**6 + 0*x**3 + 0*x - 2/735*x**7 + 0*x**4. Factor z(o).
2*o**4*(o - 2)/7
Let w(l) be the second derivative of 2/3*l**3 - 1/6*l**4 + 0 + 0*l**2 - 1/5*l**5 - 22*l + 1/15*l**6. Factor w(z).
2*z*(z - 2)*(z - 1)*(z + 1)
Let v(t) = 22*t**2 - 360*t - 372. Let r(d) = -7*d**2 + 120*d + 124. Let b(g) = -10*r(g) - 3*v(g). Factor b(q).
4*(q - 31)*(q + 1)
Let f = 16 - 11. Suppose -j + 31 = f*z - 2, -4*j = z - 18. Solve -20*p**3 + 27*p**4 + 16*p**3 - 32*p**3 + 36*p - 15*p**2 + z - 18 = 0 for p.
-1, 2/3, 1
Factor 9/2*b**2 - 2*b - 5/2*b**3 + 0.
-b*(b - 1)*(5*b - 4)/2
Factor 6*c**4 - 125*c**3 + 130*c**3 - 5*c**4.
c**3*(c + 5)
Let d be -1 + 3/(3 + 0). Suppose 0 = 309*y - 331*y + 44. Factor d + 0*n + 2/9*n**3 + 2/9*n**y.
2*n**2*(n + 1)/9
Let j(o) = 11*o**2 - 9*o - 48. Let t(h) = -10*h**2 + 10*h + 44. Let w(y) = -6*j(y) - 7*t(y). Determine v so that w(v) = 0.
-1, 5
Let m(i) = -2*i**3 + 3*i**2 - 384*i - 386. Let z be m(-1). Find r such that -4/11 + 2*r - 32/11*r**2 + 14/11*r**z = 0.
2/7, 1
Suppose -2*x + 3*l - 5 = 0, -3*x - x = 2*l - 14. Suppose 29 = x*f + 25. Let 4/3*s - f*s**2 + 8/9*s**3 - 2/9 = 0. Calculate s.
1/4, 1
Let c be 18*(-3 - -4)*3/2. Suppose -11*g + 6 + c = 0. Factor 0*m + 0 + 4/15*m**g + 0*m**2 + 2/5*m**4 + 2/15*m**5.
2*m**3*(m + 1)*(m + 2)/15
Let t(z) = 0*z - 3*z**3 - z + 4*z**3 - 2*z**2 - 1 + 8*z**2. Let x be t(-6). Factor 4 - 4*q**2 - q**2 + x*q**2 - q**2.
-(q - 2)*(q + 2)
Suppose 8 = 2*l, 0 = 5*z + 128*l - 132*l + 11. Factor 13/2*b - 24*b**3 - z - 4*b**2.
-(3*b + 2)*(4*b - 1)**2/2
Factor 699*j**2 + 6534*j**3 - 4263*j**2 - 3993*j**4 + 720*j - 72*j.
-3*j*(11*j - 6)**3
Suppose 2*g - 4*g + 36 = 2*f, -g - 34 = -3*f. Let d(w) = -w + 13. Let y be d(f). Factor -2/9*v**2 + 0 + y*v**3 + 2/9*v**4 + 0*v.
2*v**2*(v - 1)*(v + 1)/9
Suppose -70/9*b + 22/9*b**2 + 50/9 - 2/9*b**3 = 0. What is b?
1, 5
Suppose 0 = 65*k - 61*k + 12. Let b(o) = -o**4 - o**3 + o**2 + o. Let n(d) = -d**4 - 2*d**3 + d**2 + 2*d. Let j(f) = k*n(f) + 4*b(f). Factor j(x).
-x*(x - 2)*(x - 1)*(x + 1)
Solve 175*b - 69 - 26 + 5 - 80*b**2 - 5*b**3 = 0.
-18, 1
Let j be 21/12*(3 - (-100)/(-35)). Suppose 0*r = 5*r. Suppose -j*u**2 + 0 + r*u = 0. What is u?
0
Let j(x) be the third derivative of 5929*x**5/90 - 77*x**4/12 + x**3/4 + 6*x**2 + 64. Factor j(n).
(154*n - 3)**2/6
Factor -14/9*q - 2/9*q**2 + 0 + 14/9*q**3 + 2/9*q**4.
2*q*(q - 1)*(q + 1)*(q + 7)/9
Let s(u) be the second derivative of 2*u**7/3 + 38*u**6/15 - 13*u**5/5 - 19*u**4/3 + 4*u**3 - u + 144. Solve s(b) = 0 for b.
-3, -1, 0, 2/7, 1
Let s be (-2)/3*(-6 + -15). Factor 30*h**2 + s*h + 0 - 6 + 26*h**3 + 0 + 8 + 8*h**4.
2*(h + 1)**3*(4*h + 1)
Let 11/9*x**2 + 1/9*x**4 + 0 - 2/3*x**3 - 2/3*x = 0. What is x?
0, 1, 2, 3
Let t(d) = -2*d**3 - 31*d**2 - 63*d + 26. Let c be t(-13). Determine s so that -3/7*s**2 - 1/7*s - 1/7*s**4 + c - 3/7*s**3 = 0.
-1, 0
Let l(g) be the first derivative of -2*g**3/3 - 10*g**2 + 150*g + 79. Let l(u) = 0. Calculate u.
-15, 5
Suppose -9*o + 20 = -5*o. Let x(r) = 42*r**3 + 80*r**2 - 16*r - 8. Let y(p) = 28*p**3 + 53*p**2 - 11*p - 5. Let a(m) = o*x(m) - 8*y(m). Let a(f) = 0. What is f?
-2, 0, 2/7
Determine k, given that 0 + 2/7*k**4 - 6/7*k - 10/7*k**2 - 2/7*k**3 = 0.
-1, 0, 3
Suppose -19 - 21 - 29*w + 28 + w**2 + 12 = 0. What is w?
0, 29
Let l(r) = -19*r**2 + r + 20*r**2 - 9 + 0*r - 2*r. Let b be l(4). Factor -1/9*s**b - 2/9*s**2 + 0 - 1/9*s.
-s*(s + 1)**2/9
Let b(d) be the first derivative of 9*d**5/20 + 2*d**4 + 13*d**3/6 + d**2 - 12*d + 10. Let w(n) be the first deriva