d**3 + 5*d**4 + 3*d**r + 4*d**4.
3*d**2*(d + 1)**3
What is t in 0*t + 0 + 17/9*t**3 - 2/3*t**2 + 10/9*t**4 = 0?
-2, 0, 3/10
Let y(x) be the third derivative of -x**5/3 + 37*x**4/24 + x**3 - 7*x**2 - 16. Factor y(a).
-(a - 2)*(20*a + 3)
Suppose 0 = 5*t + 4*t - 54. What is r in 8 - 20 + 2*r + 8*r**2 - 4*r**2 + t*r = 0?
-3, 1
Let b(l) = l**3 - l**2 - l - 1. Let u(y) = -3*y**3 + 2*y**2 + 6*y + 2. Let g be (-3)/12 + 90/(-24). Let h(t) = g*b(t) - 2*u(t). Factor h(a).
2*a*(a - 2)*(a + 2)
Let l(n) be the first derivative of 5*n**5/12 + 5*n**4/12 - 4*n**2 - 1. Let k(y) be the second derivative of l(y). Factor k(d).
5*d*(5*d + 2)
Suppose 257*l + 488 - 1259 = 0. Find m such that -100/3*m**l - 20/3*m**2 + 12 + 28*m = 0.
-3/5, 1
Let b = 1636 + -8172/5. Factor -b*t - 2/5*t**2 - 6/5.
-2*(t + 1)*(t + 3)/5
Solve 4*f**3 + 205*f + 560*f + 3*f**3 - 4*f**3 - 675 - 93*f**2 = 0.
1, 15
Let f = -2128/11 - -26053/132. Let u = f + -11/3. Let 0 - 1/2*k - u*k**2 = 0. What is k?
-2, 0
Let s(j) be the third derivative of 5*j**8/336 - j**7/42 - 17*j**6/24 - 5*j**5/4 - 94*j**2. Suppose s(x) = 0. Calculate x.
-3, -1, 0, 5
Solve 111/4*k**3 + 57/2*k**2 + 0*k - 3/4*k**4 + 0 = 0 for k.
-1, 0, 38
Let g(t) be the first derivative of t**7/7980 + t**6/3420 - t**5/570 - 13*t**3 + 35. Let a(i) be the third derivative of g(i). Determine k, given that a(k) = 0.
-2, 0, 1
Let n(p) be the first derivative of 4*p**3/3 + 16*p**2 - 36*p - 53. Factor n(y).
4*(y - 1)*(y + 9)
Let t = 74701/150 - 498. Let v(p) be the third derivative of 0*p**4 + 0*p + 0 - t*p**5 + 1/15*p**3 + 4*p**2. Let v(n) = 0. What is n?
-1, 1
Let x(m) be the third derivative of -m**5/180 - 5*m**4/36 - 25*m**3/18 + 173*m**2. Factor x(v).
-(v + 5)**2/3
Let u(y) = -7*y**2 + 2*y. Let w(k) = 16*k**2 - 32*k - 30. Let p(o) = -2*u(o) - w(o). Factor p(x).
-2*(x - 15)*(x + 1)
Let s(a) be the third derivative of a**8/420 - 22*a**7/525 + 29*a**6/150 - a**5/75 - 7*a**4/5 + 534*a**2. What is d in s(d) = 0?
-1, 0, 2, 3, 7
Let s be (((-32)/10)/8)/(84/(-180)). Factor -s*t**2 + 60/7 - 54/7*t.
-6*(t - 1)*(t + 10)/7
Let d = -15 - -18. Suppose 2*n + 1 = -3*c - 7, -d*c = -2*n - 8. Factor c*v + 1/4*v**3 - 1/4*v**2 + 0.
v**2*(v - 1)/4
Let x(f) be the first derivative of 7/10*f**5 - 1/12*f**6 + 0*f + 3/2*f**3 - 5 + 0*f**2 - 15/8*f**4. Suppose x(i) = 0. Calculate i.
0, 1, 3
Let z(y) = -2*y**4 + 106*y**3 + 889*y**2 + 1514*y - 2493. Let u(c) = c**4 - 108*c**3 - 887*c**2 - 1512*c + 2494. Let j(l) = 7*u(l) + 6*z(l). Factor j(o).
-5*(o - 1)*(o + 5)*(o + 10)**2
Suppose -1/2*s - 1/2*s**2 + 1 = 0. What is s?
-2, 1
Let d(q) be the first derivative of -3*q**4/8 + q**3/2 + 3*q**2/4 - 3*q/2 - 246. Factor d(r).
-3*(r - 1)**2*(r + 1)/2
Let b = 48 - 45. Factor 0 - 2/7*n**4 + 8/7*n**2 - 4/7*n**b + 16/7*n.
-2*n*(n - 2)*(n + 2)**2/7
Let t(r) = 3*r**4 - 9*r**3 + 66*r**2 - 51*r. Let y(v) = 2*v**4 - v**3 + v**2 + v. Let m(f) = -t(f) + 3*y(f). Find x, given that m(x) = 0.
-6, 0, 1, 3
Let r = -88588/15 + 17720/3. Factor -r*w**4 + 0*w**2 + 4/5 + 8/5*w**3 - 8/5*w.
-4*(w - 1)**3*(w + 1)/5
Let v(n) = 24*n + 144. Let u be v(-6). Let r(m) be the first derivative of 3/5*m**5 + u*m + 1/2*m**6 + 5 - 3/4*m**4 - m**3 + 0*m**2. Factor r(i).
3*i**2*(i - 1)*(i + 1)**2
Let k(g) be the first derivative of -4*g**2 + 1/5*g**5 + 3/4*g**4 - 25 - 2*g**3 + 0*g. Find u, given that k(u) = 0.
-4, -1, 0, 2
Let o(c) be the third derivative of 1/18*c**5 + 5/144*c**4 - 1/144*c**6 + 16*c**2 + 0*c - 5/9*c**3 + 0. Factor o(w).
-5*(w - 4)*(w - 1)*(w + 1)/6
Let f(z) be the second derivative of -3*z**5/160 + 51*z**4/32 - 867*z**3/16 + 14739*z**2/16 + 2*z - 14. Factor f(b).
-3*(b - 17)**3/8
Let j(k) be the third derivative of k**6/280 - 17*k**5/70 + 65*k**4/56 - 16*k**3/7 + 2*k**2 + 80*k. Factor j(f).
3*(f - 32)*(f - 1)**2/7
Let n = 153 - 151. Let d(g) be the first derivative of n*g - 4/3*g**3 + 7/2*g**2 + 6. Factor d(b).
-(b - 2)*(4*b + 1)
Let n(q) = -2*q**4 - 52*q**3 - 187*q**2 - 263*q - 117. Let g(y) = -5*y**4 - 155*y**3 - 560*y**2 - 790*y - 350. Let b(j) = -3*g(j) + 10*n(j). Factor b(f).
-5*(f + 1)*(f + 2)**2*(f + 6)
Let -34/15*u**4 + 34/15*u**2 + 0*u + 0 + 2/15*u**3 - 2/15*u**5 = 0. Calculate u.
-17, -1, 0, 1
Let a(m) be the third derivative of 2*m**7/105 + m**6/15 - 13*m**5/5 + 34*m**4/3 - 64*m**3/3 - 31*m**2. Factor a(p).
4*(p - 4)*(p - 1)**2*(p + 8)
Let x(n) = -12 + 5 + 5*n - 4*n - 8. Let g be x(17). Find t such that 19*t - 5 - 3 + 6*t**g - 11*t = 0.
-2, 2/3
Let q(c) be the third derivative of c**6/60 - c**5/15 - c**4/12 + 2*c**3/3 + 3*c**2 + c. Factor q(h).
2*(h - 2)*(h - 1)*(h + 1)
Let t(u) be the second derivative of -u**4/132 - 47*u**3/33 - 2209*u**2/22 - 9*u - 23. Factor t(r).
-(r + 47)**2/11
Let x(v) = v**5 + v**4 + v**2 - v. Let b(i) = -i**5 - 29*i**4 + 56*i**3 - 69*i**2 + 41*i - 8. Let m(r) = -b(r) - 5*x(r). Suppose m(h) = 0. Calculate h.
1, 2
Let j(z) be the third derivative of -3*z**7/350 + 2*z**6/25 - z**5/50 - 2*z**4/5 + z**3/2 + 131*z**2. Find s such that j(s) = 0.
-1, 1/3, 1, 5
Let h = 161 - 804/5. Let n(q) be the second derivative of -5/189*q**7 - 1/27*q**4 + 7/27*q**3 + 0 + 1/3*q**2 - h*q**5 - 17/135*q**6 + q. Factor n(k).
-2*(k + 1)**4*(5*k - 3)/9
Solve -24/7*t - 32/7 + 10/7*t**3 + 20/7*t**2 - 1/7*t**5 - 3/7*t**4 = 0 for t.
-4, -2, -1, 2
Suppose 2*a - 342*g = -343*g, -2*a - 4*g = 0. Let a*b - 2/17*b**4 + 0 - 2/17*b**3 + 4/17*b**2 = 0. What is b?
-2, 0, 1
Let m(s) be the first derivative of -2*s**7/245 + s**6/105 - s**5/280 - 11*s**3/3 - 2. Let p(n) be the third derivative of m(n). Determine r so that p(r) = 0.
0, 1/4
Let t(z) = 5*z**5 + 5*z**4 - 9*z**3 - 9*z**2 + 4. Let y be 3/(9 - 0)*(1 - 4). Let m(l) = l**3 + l**2 - 1. Let w(f) = y*t(f) - 4*m(f). Factor w(h).
-5*h**2*(h - 1)*(h + 1)**2
Suppose -2*i = -3*q + 2*i - 11, 0 = -4*q + i - 32. Let s be (3 - 3)/((-45)/q). Let -2/7*z + z**2 - z**3 + 2/7*z**4 + s = 0. What is z?
0, 1/2, 1, 2
Suppose 6 = -8*c + 11*c. Factor 39*i**2 + 3*i**4 + 24*i**3 + 48 + 33*i**c + 50*i + 46*i.
3*(i + 2)**4
Factor 36/5*a + 84/5 + 3/5*a**3 - 9*a**2.
3*(a - 14)*(a - 2)*(a + 1)/5
Let x(l) = 3*l**3 + 2*l**2 - 5*l + 3. Let v be x(-3). Let a = -19 - v. Factor -25*d**2 + 5*d**3 - 2*d**3 - 2*d + a*d**2.
d*(d + 1)*(3*d - 2)
What is t in 2*t**2 + 9*t - 2*t**2 - 9*t + t**4 = 0?
0
Suppose 7 = -8*s + 7*s. Let x = -5 - s. Factor 1/2 - 2*k + 3*k**x - 2*k**3 + 1/2*k**4.
(k - 1)**4/2
Let u = 1431/8 + -7083/40. Determine z so that 3/5*z**2 + 6/5*z - u = 0.
-3, 1
Let d(a) be the third derivative of a**8/336 + a**7/42 + a**6/20 - a**5/15 - a**4/3 + 40*a**2. Factor d(s).
s*(s - 1)*(s + 2)**3
Let v(k) be the first derivative of -35*k**4/4 + 55*k**3 + 25*k**2 + 29. Find p such that v(p) = 0.
-2/7, 0, 5
Let f = -176 - -3523/20. Let v(u) be the second derivative of -f*u**5 + 1/3*u**4 - 1/6*u**3 + 0*u**2 + 3*u + 0. Factor v(g).
-g*(g - 1)*(3*g - 1)
Suppose 0 = 2*x + 323 - 1123. Let r be 4/38 - x/(-532). Factor 6/7*k + 2/7*k**3 - r*k**2 - 2/7.
2*(k - 1)**3/7
Let p(r) be the third derivative of -r**7/280 + r**6/120 + 5*r**3/3 + 9*r**2. Let n(i) be the first derivative of p(i). Factor n(m).
-3*m**2*(m - 1)
Let o be -2*(-6 + (-9)/(-6)). Let v(f) be the third derivative of -1/60*f**6 + 0*f + 1/3*f**3 - 1/12*f**5 - o*f**2 + 0 - 1/24*f**4. Let v(p) = 0. Calculate p.
-2, -1, 1/2
Let u(o) be the first derivative of -o**3 - 12*o**2 - 146. Factor u(j).
-3*j*(j + 8)
Suppose -77*x = -74*x - 15. Let z(i) be the third derivative of 0 + 0*i + 2/3*i**3 - 5*i**2 + 1/60*i**x + 1/6*i**4. Factor z(o).
(o + 2)**2
Let g = -9723 + 29173/3. Factor 2/9*c**4 - g*c**2 - 8/9*c + 16/9 + 2/9*c**3.
2*(c - 2)*(c - 1)*(c + 2)**2/9
Let t be (30/(-25))/((-18)/1680). Let v = t - 334/3. Determine w, given that 0*w + 2/3*w**3 + v*w**4 + 0 + 0*w**2 = 0.
-1, 0
Let b = 9 + -7. Factor 17*g**5 - 47*g**5 + 4*g**b + 6*g**3 + 16*g**5 + 12*g**5.
-2*g**2*(g - 2)*(g + 1)**2
Suppose 289*y = 291*y - 4. Solve -8/3*c**2 + 2/3*c**3 + 0 + y*c = 0 for c.
0, 1, 3
Let a be (-58)/(-11) + (-9)/33. Factor -2/9*f + 0 - 10/3*f**3 + 14/9*f**2 - 8/9*f**a + 26/9*f**4.
-2*f*(f - 1)**3*(4*f - 1)/9
Let d(m) be the third derivative of m**8/120 + 3*m**7/175 - 41*m**6/150 + 2*m**5/75 + 2*m**4 + 32*m**3/15 - 6*m**2 - 8. What is k in d(k) = 0?
-4, -1, -2/7, 2
Factor 512*h**3 - 1025*h**3 - 24*h**2 + 513*h**3 + 32*h + 2*h**4.
2*h*(h - 2)**2*(h + 4)
Suppose