et g = 53474/9 - 5941. Solve -4/9 - 1/9*y**4 + 0*y + g*y**2 + 0*y**3 = 0 for y.
-2, -1, 1, 2
Let w be 1 - 0 - (-1 + 0). Let s be (-25)/15 + 2 - (-31 + 30). Suppose s*u**3 - 4/3*u + 1/3*u**4 - 4/3 + u**w = 0. Calculate u.
-2, -1, 1
Find x such that 1/2 + 1/4*x**4 - 1/4*x + 1/4*x**3 - 3/4*x**2 = 0.
-2, -1, 1
Let s(k) be the second derivative of -k**6/60 + k**5 - 133*k**4/8 - 10*k**3/3 + 100*k**2 + 3*k + 112. Let s(d) = 0. Calculate d.
-1, 1, 20
Let i(h) be the second derivative of -h**5/120 + 7*h**4/72 + 2*h**3/9 - 566*h. Solve i(r) = 0.
-1, 0, 8
Let f(n) = -28*n**3 - 96*n**2 + 106*n + 16. Let p(g) = -55*g**3 - 193*g**2 + 211*g + 32. Let q(v) = -5*f(v) + 2*p(v). Suppose q(u) = 0. Calculate u.
-4, -2/15, 1
Let c(m) be the first derivative of 5*m**3 - m**3 - 15*m**2 - 75*m + 12 - 5*m**3. Find u, given that c(u) = 0.
-5
Let c = -2/131 + 4206/917. Factor -c - 2/7*j**2 + 16/7*j.
-2*(j - 4)**2/7
Let k(t) be the second derivative of t**7/280 - t**6/40 + t**5/20 - 3*t**3 - 6*t. Let b(m) be the second derivative of k(m). Factor b(v).
3*v*(v - 2)*(v - 1)
Let q = -54429/56 - -972. Let d(v) be the second derivative of 0*v**2 - 1/40*v**6 + 12*v - 3/40*v**5 + 0*v**4 + 0*v**3 + q*v**7 + 0. Factor d(t).
3*t**3*(t - 1)*(3*t + 2)/4
Let t(s) be the second derivative of s**7/210 + 3*s**6/160 + s**5/120 + s**2 - 9*s. Let m(n) be the first derivative of t(n). Factor m(k).
k**2*(k + 2)*(4*k + 1)/4
Let w(x) = x**3 - 3*x**2 + 2*x - 4. Let f be w(3). Factor -20*o**f + 16*o + 2*o**3 + 5*o**3 - 19*o**3 + 16.
-4*(o - 1)*(o + 2)*(3*o + 2)
What is h in 5*h**2 + 11*h + 13*h - 10*h + 0*h**2 - 4*h**2 = 0?
-14, 0
Let n(f) = -3*f**4 + 21*f**3 - 39*f**2 - 2*f + 61. Let t(p) = 2*p**4 - 14*p**3 + 26*p**2 + p - 41. Let h(w) = 5*n(w) + 7*t(w). Find z such that h(z) = 0.
-1, 2, 3
Factor -10*t - 9*t**4 - 4*t**3 + t**3 + 33*t**2 + 8*t**3 + 12 - 3*t**5 + 46*t - 2*t**3.
-3*(t - 2)*(t + 1)**3*(t + 2)
Suppose -8*m + 20 = 2*m. Let i(j) be the third derivative of 1/9*j**3 + 1/60*j**6 - 1/18*j**5 + 0 + 4/315*j**7 - 1/12*j**4 + m*j**2 + 0*j. Solve i(b) = 0 for b.
-1, 1/4, 1
Let m = 3 - 42. Let i be (m/42)/(5/30*-1). Factor -i*h**4 - 243/7 - 3/7*h**5 - 198/7*h**3 - 486/7*h**2 - 81*h.
-3*(h + 1)*(h + 3)**4/7
Let d(o) = -4*o - 8. Let l be d(-7). Let p be 0*(l/8 + -2). Find q, given that 2*q + 4/3 + p*q**2 - 2/3*q**3 = 0.
-1, 2
Determine d, given that -1/4*d**5 - 9 + 13/4*d**4 + 12*d - 47/4*d**3 + 23/4*d**2 = 0.
-1, 1, 6
Let r(x) = -9*x - 19. Let t be r(-3). Let d(h) = h**2 + 2*h + 3. Let m be d(-2). Factor -6*p**3 + 27*p**3 + 29*p**m + 48*p + t + 90*p**2.
2*(p + 1)*(5*p + 2)**2
Suppose -5*s + 4*o - 6*o + 125 = 0, 0 = -5*o. Let c = s + -22. Factor 3 + 3 - 5*h**4 + c*h**3 + 2*h**4 + 9*h**2 - 15*h.
-3*(h - 1)**3*(h + 2)
Factor 8*l**2 + 1059*l**3 - 1056*l**3 + 9*l - 3*l**4 + 7*l**2.
-3*l*(l - 3)*(l + 1)**2
Let q(d) be the third derivative of -d**8/112 - d**7/14 - 7*d**6/40 + d**5/20 + d**4 + 2*d**3 - 208*d**2 - 2*d. Solve q(f) = 0.
-2, -1, 1
Let x(q) = 15*q**2 + 30*q + 135. Let h(u) = u**2 - 3*u + 2. Let g(o) = -20*h(o) + x(o). Suppose g(t) = 0. What is t?
-1, 19
Let u be ((-42)/(-49))/((-4)/(-14)). Let s(a) be the second derivative of 0*a**u - 1/6*a**4 + 0 - 3/20*a**5 + 2*a + 0*a**2. Let s(w) = 0. What is w?
-2/3, 0
Let o = -2208/5 - -442. Let p = -247 + 1241/5. Solve 0*s**2 - 4/5 - p*s + o*s**3 = 0.
-1, 2
Let p(c) be the first derivative of 5*c**4/4 - 35*c**3/6 + 10*c**2 + 32*c + 26. Let l(r) be the first derivative of p(r). Find v such that l(v) = 0.
1, 4/3
Let i(q) be the third derivative of q**6/1440 + q**5/240 + q**4/144 - 4*q**2 - 2. Factor i(b).
b*(b + 1)*(b + 2)/12
Let l = -5436/7 - -777. Find z such that -6/7*z + 3/7*z**2 + l = 0.
1
Let a = 96 + -99. Let k be (7/((-21)/2))/(4/a). Factor 1/2*t + 0 + k*t**2.
t*(t + 1)/2
Let r = 74 - 295/4. Let c(k) be the first derivative of 5/8*k**2 - 1/8*k**4 - 1/8*k**6 - 7/20*k**5 + 1/2*k**3 + r*k + 1. Suppose c(b) = 0. Calculate b.
-1, -1/3, 1
Let -339 - 142*y + 111 - 236*y + 3*y**2 + 154*y + y**2 = 0. Calculate y.
-1, 57
Let b(x) be the first derivative of -x**7/1470 - x**6/315 + 11*x**3/3 - 8. Let p(j) be the third derivative of b(j). Factor p(a).
-4*a**2*(a + 2)/7
Solve -377*m - 27*m**2 - 68 - 62 - 18*m + 12*m**2 = 0.
-26, -1/3
Let m(d) be the third derivative of 0*d**3 + 0 + 0*d - 13/30*d**6 - 4/35*d**7 - 4/5*d**5 + 16*d**2 - 1/84*d**8 - 2/3*d**4. Suppose m(v) = 0. What is v?
-2, -1, 0
Let z(o) be the second derivative of -2*o**2 - 1/30*o**4 + 0 + 0*o**3 - 6*o - 1/150*o**5. Let k(t) be the first derivative of z(t). Factor k(w).
-2*w*(w + 2)/5
Let q(f) = -13*f + 3 - 13*f**4 + 2*f**5 + 2 - 16*f**4 - 32*f**2 - 7 - 31*f**3. Let d(s) = -s**5 + s**4 - s**3. Let c(l) = -21*d(l) - 3*q(l). Factor c(y).
3*(y + 1)**4*(5*y + 2)
Let u be -3 - ((-65)/25 - -4)*-5. Let f(l) be the first derivative of 2 + u*l + 2/3*l**3 + 3*l**2. Suppose f(w) = 0. Calculate w.
-2, -1
Suppose 2*q - b - 11 = 0, -q + 3*q + 4 = -4*b. Let r be (-24)/21 + (-1 - -3). Factor 9/7*z - 9/7*z**3 + 3/7*z**q - r + 3/7*z**2.
3*(z - 2)*(z - 1)**2*(z + 1)/7
Let p be (-8)/(16/6) + 3. Let o(r) be the third derivative of p + 0*r - 1/24*r**4 + 0*r**3 - 4*r**2 - 1/60*r**5. Factor o(z).
-z*(z + 1)
Let k(s) be the second derivative of -s**6/270 - s**5/60 + s**4/36 + 7*s**3/54 - s**2/3 - 5*s - 3. Solve k(f) = 0.
-3, -2, 1
Let w(t) = 6*t**3 + 2*t**2 - 1. Let f be w(-1). Let d be (4/f)/((-6)/150). Determine l so that 3*l - 2*l**2 - d*l**2 - 6*l**3 - 15*l = 0.
-3, -2/3, 0
Let y = -113 + 117. Suppose -5*p = -2*o, 5*p - 5*o + y + 11 = 0. Suppose -6/5*q**3 - 2/5*q**4 + 4/5*q + 0 + 2/5*q**5 + 2/5*q**p = 0. Calculate q.
-1, 0, 1, 2
Let y = -5 + 17. Suppose 5*i = 4*o - 12, 4*i + y = 4*o + i. Factor 2*m**o + 4*m - 3*m + 4*m**2 - m**3 - 2*m**2.
m*(m + 1)**2
Let g(p) = 1. Let q(l) = -24*l**3 + 23*l**2 + 14*l**4 - 9 + 4*l - 8*l**2 - 9*l**2. Let a(j) = 18*g(j) + 2*q(j). Factor a(u).
4*u*(u - 1)**2*(7*u + 2)
Let v(a) = 2*a**3 + 4*a**2 - 7*a - 19. Let c(o) = 2*o**3 - 8*o - 18. Let z(p) = 5*c(p) - 6*v(p). Let z(n) = 0. Calculate n.
-12, -1, 1
Let j = 19 - 17. Factor 7*o**2 - 642 + 5*o**2 - 18*o - j*o**3 + 642.
-2*o*(o - 3)**2
Let d(z) be the first derivative of -7*z**6/12 + 23*z**5/10 + 11*z**4/4 - 4*z**3/3 + 346. Find b, given that d(b) = 0.
-1, 0, 2/7, 4
Let m(y) be the third derivative of -y**6/24 - 5*y**5/6 - 35*y**4/6 - 20*y**3 - 69*y**2. Factor m(j).
-5*(j + 2)**2*(j + 6)
Factor 3*n**2 + 14*n + 2523 - 76*n - 40*n - 72*n.
3*(n - 29)**2
Let o(v) be the third derivative of -v**6/30 + 38*v**5/15 - 281*v**2. Determine i, given that o(i) = 0.
0, 38
Let z = -255 - -259. Let b(g) be the third derivative of 3*g**2 + 1/70*g**5 + 2/21*g**3 + 0 - 5/84*g**z + 0*g. Factor b(j).
2*(j - 1)*(3*j - 2)/7
Solve -4750/3*r**2 - 12635/3*r + 1/3*r**5 + 970/3*r**3 - 6859/3 - 55/3*r**4 = 0.
-1, 19
Factor 0 + 9/4*l**2 - l - 5/4*l**3.
-l*(l - 1)*(5*l - 4)/4
Let z(u) be the first derivative of -u**6/90 - u**5/15 + 11*u**3/3 + 5. Let x(q) be the third derivative of z(q). Factor x(v).
-4*v*(v + 2)
Let f(b) = -b**2 - 331*b - 330. Let z(h) = 30*h**2 + 10590*h + 10560. Let u(p) = 65*f(p) + 2*z(p). Factor u(i).
-5*(i + 1)*(i + 66)
Factor 85*m - 10*m**2 + 44 - 108 + 24.
-5*(m - 8)*(2*m - 1)
Let l(r) = -r**2 - 25*r - 82. Let p be l(-21). Let s(q) be the first derivative of -8/17*q**p - 1 - 2/51*q**3 - 32/17*q. Factor s(j).
-2*(j + 4)**2/17
Let n(z) be the second derivative of 2*z**5/35 - 125*z**4/14 + 2914*z**3/7 + 2209*z**2/7 - 12*z + 5. What is k in n(k) = 0?
-1/4, 47
Let q(t) be the first derivative of 0*t**2 + 0*t**3 - 1/30*t**6 + 1/40*t**5 + 8 + 0*t**4 - 2*t. Let o(x) be the first derivative of q(x). Factor o(l).
-l**3*(2*l - 1)/2
Let k(y) be the third derivative of y**7/105 + 79*y**6/180 + 15*y**5/2 + 189*y**4/4 - 162*y**3 - 3*y**2 - 13. Factor k(r).
2*(r + 9)**3*(3*r - 2)/3
Suppose -5*x + 25 = 2*o, 8*x + 10 = -4*o + 10*x. Factor -2/3*z**4 + o*z**2 + 0*z + 0*z**3 + 0.
-2*z**4/3
Let m(w) be the second derivative of w**6/60 + 3*w**5/40 - 11*w**4/24 - w**3/4 + 5*w**2/2 - 55*w. What is d in m(d) = 0?
-5, -1, 1, 2
Suppose -16 = -d + 3*l - l, -56 = -4*d + 4*l. Suppose 0 = 4*x - 3*i - 28, x - d = -i + 3*i. Solve -6*g**3 - 2/3*g**5 - 10/3*g**x - 4/3*g - 14/3*g**2 + 0 = 0.
-2, -1, 0
Let v(a) be the second derivative of -1/4*a**5 + 8*a + 0 + 5/6*a**3 + 0*a**