*t**4*(3*t + 2)/3
Let a be 1 + 0 - 11/((-44)/160). Factor 5*m**2 + 42*m**5 - m**4 + 3 + 5*m - 7*m**2 - a*m**5 - 6*m**3.
(m - 3)*(m - 1)*(m + 1)**3
Let o = 5558258/19635 - -71/1309. Let u = -283 + o. Solve -4/15*w - u*w**2 - 2/15 = 0.
-1
Let l be (-11)/22*24/(-60). Find h, given that -l*h**2 + 0 + 4/5*h = 0.
0, 4
Let p(z) = -4*z - 5. Let l be p(-2). Factor -54*b**3 - 51*b**3 - 4*b**4 + 101*b**l + 8*b**5.
4*b**3*(b - 1)*(2*b + 1)
Let h be (-4)/(-16) + 114/(-8). Let n(p) = -2*p**2 + 3*p + 10. Let l(a) = -6*a**2 + 10*a + 30. Let m(z) = h*n(z) + 5*l(z). Factor m(g).
-2*(g - 5)*(g + 1)
Let r = 11 - 13. Let k(h) = -2*h**3 - 2*h**2 + 2*h + 2. Let o(i) = -2*i**3 - 3*i**2 + 3*i + 3. Let y(w) = r*o(w) + 3*k(w). Factor y(u).
-2*u**3
Let n(c) = 3*c - 20. Let q be n(9). Suppose -2*k - 20 = -q*k. Factor -20*o**2 - 3*o**k - 8*o - o**4 - 6*o**3 - 10*o**3.
-4*o*(o + 1)**2*(o + 2)
Suppose -7*m + 9*m = 8. Let q(w) = -3*w**3 + 23*w**2 + w - 15. Let l(d) = -2*d**3 + 24*d**2 + 2*d - 16. Let h(i) = m*q(i) - 3*l(i). Let h(u) = 0. What is u?
-2/3, 1, 3
Solve 1/2*o**2 - 1/3*o - 1/6*o**3 + 0 = 0 for o.
0, 1, 2
Factor 17/3*j + 11/2 + 1/6*j**2.
(j + 1)*(j + 33)/6
Let f(d) be the third derivative of -d**7/168 - 7*d**6/96 + 5*d**5/48 + 125*d**4/32 - 10*d**2 - 5*d. Factor f(w).
-5*w*(w - 3)*(w + 5)**2/4
Let v(s) be the first derivative of 2/3*s**3 + 8*s - 35 - 5*s**2. Factor v(n).
2*(n - 4)*(n - 1)
Let t(m) = 6*m - 502. Let s be t(84). Find w, given that 0 + 4/5*w**3 - 2/5*w - 2/5*w**s = 0.
-1/2, 0, 1
Let t(l) be the first derivative of -5*l**6/2 + 13*l**5 + 115*l**4/2 - 360*l**3 + 80*l**2 + 640*l - 328. Suppose t(f) = 0. Calculate f.
-4, -2/3, 1, 4
Let w be (-2)/5 + 1 + (-276)/(-15). Factor 4 + 19*x - w*x - x**2.
-(x - 2)*(x + 2)
Suppose 9*l = 6*l + 18. Suppose -3*u + 3 = -l. Determine o, given that -4*o - 4*o - 4 + 3*o**u + 16*o**2 + 5*o**3 - 12*o**4 = 0.
-1, -1/3, 1
Let t be (-4 - -2 - -2) + 14/8. Let y = -17/4 - -8. Determine i so that -9/4*i**4 - t*i**2 + 1/4*i + y*i**3 + 0 = 0.
0, 1/3, 1
Let g = -29 - -33. Let i(a) be the first derivative of 54*a**2 + 24*a - 42*a**3 - 11 - 735/4*a**g. What is w in i(w) = 0?
-2/7, 2/5
Let w(b) be the second derivative of -9/4*b**4 - 3/20*b**5 - b - 27/2*b**3 - 81/2*b**2 - 2. Let w(t) = 0. Calculate t.
-3
Let w = 2138183/484253 + 1/6289. Let p = 58/11 - w. Factor p*k - 2/7*k**2 - 4/7.
-2*(k - 2)*(k - 1)/7
Factor 23/3 - 1/3*d**2 + 22/3*d.
-(d - 23)*(d + 1)/3
Let p(b) be the second derivative of b**5 - 5*b**3/2 + 5*b**2/2 - 52*b - 1. Solve p(i) = 0.
-1, 1/2
Suppose 17*d - 247 = 144. Suppose -18*b = -d*b. Solve 0 + h**2 + 7/2*h**3 + b*h = 0.
-2/7, 0
Let c(k) = -20*k**2 + 190*k + 145. Let y(o) = 11*o**2 - 95*o - 72. Let l(w) = -2*c(w) - 5*y(w). Factor l(z).
-5*(z - 7)*(3*z + 2)
Suppose -78 = -c - 75. Suppose -8*t - 4*a = -c*t - 2, -a - 4 = -t. What is p in 1/9*p**t + 1/9*p**3 + 0 - 2/9*p = 0?
-2, 0, 1
Let i = -18765/37 - -507. Let z = i + 55/111. Let z*h**2 - 1/3*h**3 + 1/3*h - 1/3 = 0. Calculate h.
-1, 1
Let g(w) be the second derivative of -w**5/80 + w**4/12 + 11*w**3/24 + 3*w**2/4 + 8*w - 5. Let g(h) = 0. What is h?
-1, 6
Suppose 79*y = -13*y + 184. Let t(w) be the third derivative of 0*w + 0 + 1/80*w**6 + 1/40*w**5 - y*w**2 + 0*w**3 + 0*w**4. Let t(j) = 0. What is j?
-1, 0
Suppose -3*j - 13 = 2*q - 4, -2*q + 16 = -2*j. Suppose t - 4*t + 3 - 3*t + 1 + 2*t**q = 0. Calculate t.
-2, 1
Find b such that 2147483648/15 + 2/15*b**5 + 128/3*b**4 + 33554432/3*b + 1048576/3*b**2 + 16384/3*b**3 = 0.
-64
Let z(o) be the second derivative of -o**7/7560 + o**6/2160 + o**5/60 + 5*o**4/3 - 12*o. Let t(n) be the third derivative of z(n). Factor t(v).
-(v - 3)*(v + 2)/3
Let m(l) = l**2 + l + 1. Let c(f) = 2*f**2 + 22*f - 2. Suppose -11 = -12*y + 1. Let r(q) = y*c(q) + 2*m(q). Find v such that r(v) = 0.
-6, 0
Let v(d) = d - 16. Let x be v(16). Let i = -232 + 698/3. Let -i*z**2 + 2/3 + x*z = 0. What is z?
-1, 1
Determine r so that 53/2 + 1/2*r**2 - 27*r = 0.
1, 53
Let w(t) be the first derivative of -2*t**5/7 + 3*t**4/2 - 58*t**3/21 + 15*t**2/7 - 4*t/7 + 33. Find q, given that w(q) = 0.
1/5, 1, 2
Let l(u) be the first derivative of -u**6/48 + u**5/40 + 5*u**4/32 - u**3/24 - u**2/2 - u/2 + 136. Factor l(h).
-(h - 2)**2*(h + 1)**3/8
Factor -465*l - 35*l**3 - 275*l + 775*l**2 + 240 - 175*l**2 - 10*l**3.
-5*(l - 12)*(3*l - 2)**2
Let y be (-370)/(-222) + (2 - (-10)/(-6)). Factor 1/3 + 7/6*c**3 + 1/2*c - y*c**2.
(c - 1)**2*(7*c + 2)/6
Suppose -4*r + 5*r = 9. Solve -20*j + 0*j**2 + r*j**3 - 3*j**4 + 0*j**2 + 11*j + 3*j**2 = 0 for j.
-1, 0, 1, 3
Let a(h) be the third derivative of -4/105*h**8 + 0*h + 0*h**4 + 21*h**2 + 0*h**3 - 1/300*h**5 + 0 - 1/50*h**6 - 8/175*h**7. Find p such that a(p) = 0.
-1/4, 0
Let g(z) be the first derivative of -z**3/6 - 75*z**2/4 + 38*z + 420. Factor g(l).
-(l - 1)*(l + 76)/2
Let l = -811 + 814. Let u(r) be the first derivative of -8 + 0*r**4 - l*r**3 + 0*r + 3/5*r**5 - 3*r**2. Factor u(g).
3*g*(g - 2)*(g + 1)**2
Let o(w) be the first derivative of 3*w**4/8 - 21*w**3/2 + 441*w**2/4 - 1029*w/2 + 137. Factor o(p).
3*(p - 7)**3/2
Let a be 200/(-130) - -2 - 1088/(-234). Factor -56/9*o - 16/9*o**3 + 8/3 + a*o**2 + 2/9*o**4.
2*(o - 3)*(o - 2)**2*(o - 1)/9
Determine x so that 23003*x - 23018*x - 5*x**2 + 19 + 1 = 0.
-4, 1
Let s(z) be the third derivative of z**7/735 - z**6/420 - 13*z**5/210 + z**4/84 + 4*z**3/7 - 269*z**2. Suppose s(o) = 0. Calculate o.
-3, -1, 1, 4
Let u(s) be the third derivative of -s**6/300 + 2*s**5/75 + 7*s**4/60 - 2*s**3/3 + s**2 - 36*s. Factor u(b).
-2*(b - 5)*(b - 1)*(b + 2)/5
Let u be (-2464)/(-539) + 1/(-7)*4. Let z = -22/5 + 106/15. Suppose 2/3*s + 5/2*s**u - z*s**3 - 31/6*s**2 + 2/3 = 0. What is s?
-1, -1/3, 2/5, 2
Let 24/5 + 814/5*o**2 - 242/5*o**3 - 272/5*o = 0. Calculate o.
2/11, 3
Let p = 2819 + -19725/7. Factor 0 - 16/7*z**3 + p*z + 4*z**2.
-4*z*(z - 2)*(4*z + 1)/7
Let q(w) be the first derivative of 0*w**4 - w**2 + 1/5*w**5 + 0*w - w**3 + 8. Factor q(n).
n*(n - 2)*(n + 1)**2
Let p = -3957 - -51443/13. Determine y, given that -p*y + 0 + 6/13*y**2 = 0.
0, 1/3
Let n(a) be the third derivative of a**6/120 + a**5/60 - 5*a**4/24 + a**3/2 - 177*a**2. Factor n(u).
(u - 1)**2*(u + 3)
Factor 47*p**4 - 258*p**2 - 10*p**4 - 321*p + 2*p**4 - 20 + 3*p**5 - 18*p**3 - 97.
3*(p - 3)*(p + 1)**3*(p + 13)
Let x(q) be the third derivative of 0 + 0*q - 37*q**2 + 2*q**3 - 11/6*q**4 + 7/60*q**5. Let x(s) = 0. What is s?
2/7, 6
Let h(v) be the first derivative of 0*v**4 + 0*v**3 + v - 6 + 1/50*v**5 + 0*v**2. Let o(x) be the first derivative of h(x). Factor o(f).
2*f**3/5
Let a = -8057 - -8059. Find x, given that 6/7*x**5 + 12/7*x**a + 24/7*x**3 + 2/7*x + 0 + 20/7*x**4 = 0.
-1, -1/3, 0
Let q(c) be the first derivative of c**6/18 + c**5/3 + 7*c**4/12 - c**3/9 - 4*c**2/3 - 4*c/3 + 22. Suppose q(d) = 0. What is d?
-2, -1, 1
Factor -7*z**2 - 4*z**3 - 90*z + 9*z**3 + 105*z - 13*z**2.
5*z*(z - 3)*(z - 1)
Let j(o) = -o**2 + 14*o + 36. Let d(p) = -p + 2. Let v(l) = -21*d(l) + 3*j(l). Factor v(s).
-3*(s - 22)*(s + 1)
Let t(l) be the third derivative of 0 + 0*l + 1/4*l**4 + 20*l**2 + 0*l**3 - 9/20*l**5. Find s, given that t(s) = 0.
0, 2/9
Let t be (10/(-35))/(32/(-56)). Let x(u) be the first derivative of 0*u - 3/4*u**4 - 2 + t*u**3 + 3/2*u**2 - 3/10*u**5. Factor x(j).
-3*j*(j - 1)*(j + 1)*(j + 2)/2
Suppose 0 = -8*g + 93 - 45. Let n(x) be the first derivative of -g - 2/5*x**3 + 2/5*x**2 + 2/25*x**5 + 0*x + 0*x**4. Factor n(o).
2*o*(o - 1)**2*(o + 2)/5
Let c(p) = p - 3. Let a be c(7). Let b(r) be the first derivative of 3 - 3/4*r**a - 3/25*r**5 - 6/5*r - 9/5*r**3 - 21/10*r**2. Factor b(k).
-3*(k + 1)**3*(k + 2)/5
Let f(d) be the second derivative of 1/5*d**5 + 0*d**3 + 4*d + 0 - d**4 + 0*d**2. Factor f(b).
4*b**2*(b - 3)
Let f(o) be the second derivative of -49*o**4/3 + 28*o**3/3 - 2*o**2 + 2*o - 25. Find u such that f(u) = 0.
1/7
Let m(u) = -4*u**3 - 8*u**2 + 24*u. Let g(d) be the second derivative of -d**3/6 + 5*d - 1. Let l(w) = -12*g(w) - m(w). Solve l(f) = 0 for f.
-3, 0, 1
Let n(h) be the second derivative of -h**5/70 + h**4/3 + 4*h - 11. Solve n(l) = 0 for l.
0, 14
Let f = 176 - 172. Let c(g) be the second derivative of 0 - 1/15*g**3 - 5*g + 1/60*g**f + 1/10*g**2. Factor c(s).
(s - 1)**2/5
Let j(d) = -d**4 - d**3 + d**2 - d - 1. Let t(x)