Let x(v) be the first derivative of -2*v**6/3 - 16*v**5/5 - 5*v**4 - 8*v**3/3 - 13. Let x(i) = 0. Calculate i.
-2, -1, 0
Let p(x) = 2*x**3 - 22*x**2 + 40*x - 38. Let f(s) = -4*s**3 + 42*s**2 - 80*s + 74. Let l(i) = -3*f(i) - 5*p(i). Let l(y) = 0. Calculate y.
2, 4
Determine b so that 0*b**2 + 0 - 48/11*b**3 + 0*b - 2/11*b**5 - 2*b**4 = 0.
-8, -3, 0
Let p(c) be the first derivative of -3*c**4 - 8*c**2 + 16 - 32/3*c**3 + 0*c. Factor p(t).
-4*t*(t + 2)*(3*t + 2)
Suppose 4*s + 10 = 9*s. Find m such that -5*m + 6*m**2 - 100*m**4 - 32*m**5 + 25*m**3 - 8*m**5 - 41*m**s - 115*m**3 = 0.
-1, -1/2, 0
Suppose -3*w + 29 = 2*j + 6, 4*w = -3*j + 32. Factor 0 + 0*s**2 + s**3 + 5*s**4 + 25/4*s**w + 0*s.
s**3*(5*s + 2)**2/4
Let h be 5/(3 + -4 + 2). Suppose -16*v + 32*v + v**4 - h*v**4 - 12*v**3 = 0. What is v?
-2, 0, 1
Let r(t) be the second derivative of -7/4*t**3 + 3/40*t**5 + 0*t**4 - 9/2*t**2 + 33*t + 0. Factor r(v).
3*(v - 3)*(v + 1)*(v + 2)/2
Let k(c) be the second derivative of 0 + 2/189*c**7 - 2/27*c**4 + 0*c**5 + 14*c + 4/135*c**6 + 0*c**2 - 2/27*c**3. Factor k(a).
4*a*(a - 1)*(a + 1)**3/9
Factor 15*u**2 - 31 + 5*u**3 - 52*u + 56 + 7*u.
5*(u - 1)**2*(u + 5)
Let 0 + 2/7*q**2 + 2/7*q - 2/7*q**4 - 2/7*q**3 = 0. Calculate q.
-1, 0, 1
Factor -409 - 15*i**3 + 172*i + 24*i**2 + 433 - 22*i**3 + 9*i**3.
-4*(i - 3)*(i + 2)*(7*i + 1)
Suppose 0*q + 3*q - 9 = 0. Find w such that -3 - 6*w**2 + 2*w**3 + 4*w - q + 6 = 0.
0, 1, 2
Let x be (10/5)/(184/414 - (-2)/9). Factor -45/7*d - 3/7*d**x + 27/7 + 3*d**2.
-3*(d - 3)**2*(d - 1)/7
Let x = 1057/1745 - 2/349. Let j(m) be the first derivative of 0*m + 2*m**3 - 5 + x*m**5 + 0*m**2 + 9/4*m**4. Solve j(z) = 0.
-2, -1, 0
Let l(w) be the third derivative of -w**5/15 - 5*w**4/3 - 12*w**2. What is y in l(y) = 0?
-10, 0
Let y(h) = -11*h + 220. Let u be y(20). Let z(p) be the second derivative of 0 - 1/5*p**5 + 6*p - 1/3*p**4 + 0*p**2 + u*p**3. Factor z(i).
-4*i**2*(i + 1)
Let x be (9/(-12) + 30/8)*-26. Let f = -76 - x. Suppose 10/11*m**3 + 18/11*m + 24/11*m**f + 4/11 = 0. Calculate m.
-1, -2/5
Let j(c) = -3*c**2 + 34*c - 23. Let b(y) = -15*y**2 + 171*y - 114. Let n(g) = 4*b(g) - 21*j(g). Suppose n(z) = 0. What is z?
1, 9
Let s(n) be the second derivative of -n**4/15 - 2*n**3/15 + 4*n**2/5 - 48*n. Solve s(x) = 0.
-2, 1
Determine w so that 0 + 24/5*w**3 + 0*w + 2/5*w**4 - 26/5*w**2 = 0.
-13, 0, 1
Let g(k) be the second derivative of -k**5/18 + 26*k**4/27 - 65*k**3/27 + 2*k**2 - 26*k - 7. Let g(t) = 0. Calculate t.
2/5, 1, 9
Let a(d) = 3*d - 2 - 3*d**2 + 4*d**3 - 3*d - 3*d. Let m(g) = -17*g**3 + 13*g**2 + 13*g + 9. Let n = -467 - -465. Let c(o) = n*m(o) - 9*a(o). Factor c(k).
-k*(k - 1)*(2*k + 1)
Let o = -2645/83249 - 3/1411. Let k = 466/177 - o. Factor -8*y**3 - 4*y + 26/3*y**2 + 2/3 + k*y**4.
2*(y - 1)**2*(2*y - 1)**2/3
Suppose -28*h + 28 = -56. Find s such that 0*s**2 - 3/5*s**h + 6/5*s**4 + 0*s + 0 - 3/5*s**5 = 0.
0, 1
Let u be ((-42)/(-15))/7 + (-431)/(-10). Let f = -43 + u. Suppose -f - 9/4*z**2 + 7/4*z + 5/4*z**3 - 1/4*z**4 = 0. Calculate z.
1, 2
Suppose -4*d = -7*d - 252. Let y be (-240)/d + -2*1. Factor 2/7*r**3 + 0 + 4/7*r + y*r**2.
2*r*(r + 1)*(r + 2)/7
Let v(t) be the second derivative of t**6/780 + t**5/195 - t**4/156 - 2*t**3/39 + 4*t**2 - 14*t. Let c(k) be the first derivative of v(k). Factor c(h).
2*(h - 1)*(h + 1)*(h + 2)/13
Let r(q) be the third derivative of -q**7/1260 - q**6/90 - q**5/15 + 7*q**4/24 + 7*q**2. Let y(p) be the second derivative of r(p). Factor y(h).
-2*(h + 2)**2
Let a be (-104)/(-138) + (-402)/4623. Factor -16/3 + 6*c - a*c**2.
-2*(c - 8)*(c - 1)/3
Let i = 18578/3 - 6302. Let o = i + 110. Let o + 4/3*h**2 + 2*h = 0. What is h?
-1, -1/2
Let d(m) = 10*m**3 + 12*m**2 - 32*m + 17. Let l(i) = 10*i**3 + 11*i**2 - 31*i + 16. Let v(y) = 6*d(y) - 7*l(y). Determine t, given that v(t) = 0.
-2, 1/2, 1
Let t(l) be the third derivative of l**5/300 + 13*l**4/30 + 338*l**3/15 - l**2 - 30. Factor t(p).
(p + 26)**2/5
Let j(y) = 6*y**2 - 18*y + 32. Let g(k) = -2*k**2 + 6*k - 10. Let w(q) = 20*g(q) + 6*j(q). Let w(x) = 0. Calculate x.
1, 2
Suppose -4/9*l**5 - 16/9 + 4*l - 32/9*l**3 + 8/3*l**4 - 8/9*l**2 = 0. What is l?
-1, 1, 4
Determine p so that -1/2*p**2 - 7/4*p - 1 + 1/4*p**3 = 0.
-1, 4
Let r be (4/10)/(-10 - (-112)/10). Solve r + 1/2*h + 0*h**2 - 1/6*h**3 = 0 for h.
-1, 2
Let o = 15 - 9. Suppose -2*p = -o*p - 9*p. Let -1/3*g**5 + 1/3*g**3 + 0 + 0*g + 0*g**4 + p*g**2 = 0. What is g?
-1, 0, 1
Factor -3*v**3 + v**2 - 24 + 5*v**3 + v - 19*v + v**3 + 8*v**2.
3*(v - 2)*(v + 1)*(v + 4)
Let v be (-10)/(-6)*(-224)/(-70). Factor 4*f + 8/3*f**2 + 4/3*f**5 - v*f**3 - 8/3 + 0*f**4.
4*(f - 1)**3*(f + 1)*(f + 2)/3
Let l(d) be the second derivative of -d**9/13608 + d**7/3780 - 3*d**3/2 - 9*d. Let i(s) be the second derivative of l(s). Solve i(k) = 0 for k.
-1, 0, 1
Find t, given that -1/9*t**4 - 29/9*t**2 - 4/3*t**3 + 0 - 2*t = 0.
-9, -2, -1, 0
Let n(p) be the third derivative of p**5/120 - 103*p**4/24 + 10609*p**3/12 - 22*p**2 + 3. Let n(c) = 0. Calculate c.
103
Let z(l) be the second derivative of 0*l**4 + 0*l**2 - 3/40*l**5 + 17*l + 1/4*l**3 + 0. Find x, given that z(x) = 0.
-1, 0, 1
Let h = 373 + -373. Let x(w) be the first derivative of -1/12*w**3 + h*w + 1/8*w**2 + 1. Determine a so that x(a) = 0.
0, 1
Suppose 9/5*d**4 - 3/5*d**3 + 12/5*d + 24/5 - 42/5*d**2 = 0. What is d?
-2, -2/3, 1, 2
Let r(o) = 2*o + 3*o**3 - o**2 - 3*o**2 - 2*o**3 - 4. Let x be r(4). Factor -x*a**4 - 9*a**2 + 7*a + 5*a**3 + 0*a**4 + a**4 - 2 + 2*a**4.
-(a - 2)*(a - 1)**3
Let -25/8*i**5 + 1120*i - 817*i**2 - 415/4*i**4 - 1831/2*i**3 - 256 = 0. Calculate i.
-16, -2, 2/5
Let k(r) be the second derivative of r**9/6048 + r**8/2240 + r**7/3360 + r**3/6 + 6*r. Let p(f) be the second derivative of k(f). Factor p(x).
x**3*(x + 1)*(2*x + 1)/4
Let c(g) = g**3 - g**2 - 3. Let y be c(-2). Let v be (-6)/y - 8*(-2)/60. Factor -v*l**2 - 1/3*l**3 + 4/3*l + 8/3.
-(l - 2)*(l + 2)**2/3
Suppose 0 = -3*c - c - 3*v + 1, v = -4*c + 11. Suppose 6 = -2*j, -c*j - 12 = 2*o - 0*o. Factor o + 1/3*y**3 + y**2 + 0*y.
y**2*(y + 3)/3
Let p(l) = -9*l**3 - 2*l**2 - 5*l - 8. Let v(u) = 23*u**3 + 5*u**2 + 9*u + 17. Let j(h) = 5*p(h) + 2*v(h). Suppose j(s) = 0. Calculate s.
-2, -1, 3
Let u be (6 - (-57)/(-6))*4/(-7)*2. Factor -6/7*j**3 + 0*j**2 + 3/7*j + 3/7*j**5 + 0 + 0*j**u.
3*j*(j - 1)**2*(j + 1)**2/7
Let u(q) be the first derivative of -q**5/25 + 3*q**3/5 - 143. Solve u(j) = 0.
-3, 0, 3
Let b = 397/2373 - 1/1582. Factor -b*o + 5/6*o**2 - 2/3.
(o - 1)*(5*o + 4)/6
Suppose 5*d - 10*d = -10. Solve p**d + 5*p + 306 + 4*p**2 - 336 = 0 for p.
-3, 2
Let v(y) = y**3 + 3*y**2 + 4*y + 3. Let d be v(-2). Let n be -3*d/6*6. Determine x, given that -2*x + 9*x**2 - x - n*x + 0*x = 0.
0, 2/3
Factor 178*c**2 - 5*c + 9*c - 172*c**2 + 2*c**3.
2*c*(c + 1)*(c + 2)
Let v(m) = m**2 + 34*m - 70. Let o be v(2). Find k, given that -4/3*k**4 - 4*k - 4/3*k**o + 8/3 + 4*k**3 = 0.
-1, 1, 2
Let k(z) be the third derivative of -z**6/360 - 14*z**5/45 + z**4/72 + 28*z**3/9 - 4*z**2 + 25. What is p in k(p) = 0?
-56, -1, 1
Let g = -1894 + 1896. Determine h so that 3/4*h**g - 1/4*h**3 - 3/4*h + 1/4 = 0.
1
Let o be (1/6)/((-5)/(-330)) - 8. Suppose -5/2*r**o - 2*r**4 + 0*r - 1/2*r**2 + 0 = 0. What is r?
-1, -1/4, 0
Let r = -371/9718 - -3/113. Let o = r + 1379/258. Solve -8/3 - 10/3*b**4 + 6*b**2 + 16/3*b**3 - o*b = 0.
-1, -2/5, 1, 2
Suppose -3*p - 3*g - g = -40, 0 = -3*p - 2*g + 32. Suppose -2*z**5 + 2*z**4 - 7*z**5 + p*z**5 - z**3 = 0. Calculate z.
0, 1
Let j be 1/(-3) - 13/(117/(-6)). Solve 1/3*d**2 - j + 0*d = 0 for d.
-1, 1
Let c(r) be the first derivative of -1/5*r**3 - 3/20*r**4 - 9 - 1/25*r**5 - 1/10*r**2 + 0*r. Factor c(h).
-h*(h + 1)**3/5
Let p(g) be the second derivative of -27/4*g**4 - 1/2*g**2 + 3*g**3 + 0 - 5*g. Determine t so that p(t) = 0.
1/9
Let k = 84 - 79. Let z(w) be the second derivative of -1/9*w**3 + 0*w**4 + 1/30*w**k + 0*w**2 + 0 - 4*w. Factor z(m).
2*m*(m - 1)*(m + 1)/3
Solve -2/3 - 82/3*l**3 + 26*l**2 - 22/3*l + 28/3*l**4 = 0.
-1/14, 1
Let c(q) be the first derivative of q**3/12 + 5*q**2/8 - 6*q + 119. Factor c(t).
(t - 3)*(t + 8)/4
Let a = 3187/35 + -451/5. Determine f, given that 12/7*f**3 - a*f + 0 + 15/7*f**2 - 9/7*f**4 = 0.
-1, 0, 1/3, 2
Let t(p) be the first derivative of -p**5/20 + 3*