Factor -y**3 + 503/2*y - 331/2*y**2 + 167.
-(y - 2)*(y + 167)*(2*y + 1)/2
Let d = 1425/16 - 4147/48. Solve 58/3*f + 14/3 + d*f**2 = 0 for f.
-7, -1/4
Suppose 5*j = 57 + 18. Let r be (23 - j) + (-10)/2. Find d, given that -6*d**2 + 3*d**r - 12*d - 18*d + 21*d = 0.
-1, 0, 3
Let u(x) be the third derivative of 0*x**4 + 0*x + 0 - 5/72*x**6 - 1/6*x**5 + 0*x**3 - 1/126*x**7 + 53*x**2. Factor u(r).
-5*r**2*(r + 2)*(r + 3)/3
Let j be ((-12)/21)/((-48)/2016*21). Solve -j + 18/7*w**2 - 10/7*w = 0 for w.
-4/9, 1
Suppose 63 - 204 = 2*q + 5*u, 2*u = -6. Let i be (18 - 9)/q*-1. Solve -6/7*c**2 + 0 - 1/7*c**5 + 0*c - i*c**3 + 4/7*c**4 = 0 for c.
-1, 0, 2, 3
Factor 43591*r**3 - 43589*r**3 + 72*r + 0*r**4 + r**4 - 39*r**2.
r*(r - 3)**2*(r + 8)
Let m(f) be the second derivative of f**5/40 + 133*f**4/8 + 3300*f**3 - 10000*f**2 - 366*f + 3. Factor m(w).
(w - 1)*(w + 200)**2/2
Let a(l) be the second derivative of l**7/42 + 5*l**6/6 + 47*l**5/4 + 345*l**4/4 + 360*l**3 + 864*l**2 - 496*l. Let a(h) = 0. Calculate h.
-8, -3
Suppose -5*z - 3*i = i - 222, 4*z + 3*i = 177. Suppose 228 = 39*c - c. Factor -686/9*v**3 - z*v + c + 98*v**2.
-2*(7*v - 3)**3/9
Let u be 1*2 + -83 + 85. Factor -301*w**4 - 224*w**3 + 51*w**5 - 48*w**2 + 38*w**5 + 11*w**5 + 81*w**u.
4*w**2*(w - 3)*(5*w + 2)**2
Let a(n) be the second derivative of 13/6*n**4 + 0 - 24*n + 0*n**2 - 10/3*n**3 + 3/10*n**5. Determine d so that a(d) = 0.
-5, 0, 2/3
Let b = 564 - 561. Let q be 165/25 + (-10 + b - -2). Factor -4/5*y - 1/5*y**4 - q*y**2 - y**3 + 0.
-y*(y + 1)*(y + 2)**2/5
Factor 45*w**4 - 915*w - 15*w**4 + 33*w**3 - 102105 + 101925 + 940*w**2 - 328*w**3.
5*(w - 4)*(w - 3)**2*(6*w + 1)
Let y(j) = -141*j**4 - 123*j**3 - 600*j**2 + 729*j. Let p(t) = 16*t**4 - t**3 + t**2 - t. Let v(b) = -9*p(b) - y(b). Factor v(i).
-3*i*(i - 48)*(i - 1)*(i + 5)
Let w(b) = 2*b**4 - 198*b**3 - 10*b**2 + 594*b - 402. Let u(t) = 5*t**4 - 593*t**3 - 29*t**2 + 1775*t - 1207. Let d(k) = 2*u(k) - 7*w(k). What is f in d(f) = 0?
-2, 1, 50
Suppose 3*y + 5*m = 39 - 13, 4*y + 2*m - 16 = 0. Determine h, given that -6*h**2 + 0*h**2 + 8*h**2 + 2*h**y - 2*h**2 + 2*h = 0.
-1, 0
Let f(g) be the second derivative of -512*g**3 + 16*g**4 - 2*g - 1/5*g**5 + 2 + 8192*g**2. Solve f(a) = 0.
16
Suppose 4*l - 5*v = -18, -79*v = l - 77*v - 15. Let n(o) be the second derivative of -8*o + 0*o**l - 1/5*o**5 + 2/3*o**4 + 0*o**2 + 0. Solve n(f) = 0.
0, 2
Let r be (((-80)/(-28))/5)/(42/147). Factor -48*z**3 + 69*z**2 - 173 + 461 - 408*z + 4*z**r + 4*z**4 + 139*z**2.
4*(z - 4)*(z - 3)**2*(z - 2)
Let q be (-68)/102*(2 - 3 - 0). Let o(y) be the first derivative of q*y**3 + 2/5*y**5 - 3/2*y**4 - 4*y + 3*y**2 - 4. Factor o(v).
2*(v - 2)*(v - 1)**2*(v + 1)
Let v(x) be the third derivative of x**8/336 + x**7/210 - x**6/36 - x**5/10 - 29*x**4/24 - 60*x**2. Let a(t) be the second derivative of v(t). Factor a(c).
4*(c - 1)*(c + 1)*(5*c + 3)
Let u(w) = -1810 + w**2 + w**3 + 897 - w + 912. Let g(o) = -6*o**3 - 14*o**2 + 6*o + 14. Let n = -4 - 6. Let c(s) = n*u(s) - g(s). Factor c(m).
-4*(m - 1)**2*(m + 1)
Let x(h) = -19*h**2 + 4*h - 42. Let c = 250 - 246. Let y(v) = -7*v**2 + v - 14. Let g(t) = c*x(t) - 11*y(t). Factor g(m).
(m - 2)*(m + 7)
Let z = -400 + 410. Let k be ((-4)/z)/(62/(-465)). Suppose -2/9*m + 8/9*m**2 - 2*m**5 + 0 - 8/3*m**4 + 4/9*m**k = 0. Calculate m.
-1, 0, 1/3
Let h be (6 - (6 - 5)) + -2. Factor -21*r - 5*r**2 + h*r**4 + 33*r - 16*r**2 + 6*r**3.
3*r*(r - 1)**2*(r + 4)
Let a(p) be the third derivative of p**9/105840 - p**8/7056 + p**7/2940 + p**6/140 + 29*p**5/30 + 6*p**2. Let l(s) be the third derivative of a(s). Factor l(q).
4*(q - 3)**2*(q + 1)/7
Let n(d) be the third derivative of 3/2*d**4 - 2*d**2 + 0 - 8/5*d**5 + 32/105*d**7 - 1/28*d**8 + 2*d + 0*d**3 - 7/15*d**6. Let n(g) = 0. Calculate g.
-1, 0, 1/3, 3
Let k(t) = -6*t**3 + 10473*t**2 - 9124551*t + 9114144. Let m(q) = -5*q**3 + 10469*q**2 - 9124569*q + 9114145. Let f(d) = 2*k(d) - 3*m(d). Factor f(z).
3*(z - 1743)**2*(z - 1)
Let r(a) be the first derivative of -3*a**5/40 - 597*a**4/32 - 591*a**3/8 - 1767*a**2/16 - 147*a/2 + 4607. Factor r(k).
-3*(k + 1)**3*(k + 196)/8
Determine c so that -3/2 - 6075/8*c**2 - 135/2*c = 0.
-2/45
Find y, given that -2*y**5 - 476*y**2 + 6633 + 2842*y - 312*y**3 - 552*y**4 + 1599 + 508*y**4 = 0.
-7, -4, 3
Solve -2/3*v**2 + 0 + 0*v**4 - 3/2*v**3 + 1/6*v**5 + 2*v = 0.
-2, 0, 1, 3
Let n(s) be the third derivative of s**6/240 + 7*s**5/48 + 17*s**4/96 + 7*s**2 - 3. Let n(y) = 0. Calculate y.
-17, -1/2, 0
Suppose 0 = -j + 7*j - j. Suppose 4*u + 2*t - 12 = j, 14 = 3*u - 2*t + 12. Suppose d**u - d - 1/4*d**3 + 0 = 0. What is d?
0, 2
Let r(h) be the third derivative of h**8/1344 - h**7/420 - 37*h**6/160 + 83*h**5/60 - 55*h**4/24 + 3919*h**2. Suppose r(n) = 0. Calculate n.
-11, 0, 1, 2, 10
Find x, given that 0 + 42/11*x**3 - 42/11*x - 6/11*x**2 + 6/11*x**4 = 0.
-7, -1, 0, 1
Let t(m) be the second derivative of 3*m**5/2 + 335*m**4/12 + 195*m**3/2 + 22*m + 43. Let t(c) = 0. Calculate c.
-9, -13/6, 0
Let t(x) be the third derivative of x**7/210 + 7*x**6/60 - 61*x**5/60 - 85*x**4/12 + 3425*x**2 + 2*x. Solve t(w) = 0.
-17, -2, 0, 5
Suppose 87 - 769 = -31*d. Suppose 4*z - d = 54*f - 52*f, -11 = -5*z - 3*f. Factor 1/2 + 51/4*p**2 - 21/4*p - 47/4*p**3 + 15/4*p**z.
(p - 1)**3*(15*p - 2)/4
Suppose 36*z - 9*z + 20*z - 94 = 0. Suppose 26/11*l**z + 2*l**3 + 0 + 4/11*l = 0. What is l?
-1, -2/11, 0
Let q(j) be the second derivative of j**6/5 - 31*j**5/20 - j**4/12 + 31*j**3/6 - 5*j**2/2 - 472*j - 7. Find b, given that q(b) = 0.
-1, 1/6, 1, 5
Suppose 153/5*q**4 + 4056/5*q - 3/5*q**5 + 0 - 468*q**2 - 1866/5*q**3 = 0. Calculate q.
-2, 0, 1, 26
Let b = 3941 - 3937. Let l(y) be the third derivative of 0 + 0*y**3 + 0*y**b + 0*y - 3*y**2 - 29/70*y**6 + 6/35*y**5 + 25/784*y**8 + 13/49*y**7. Factor l(z).
3*z**2*(z + 6)*(5*z - 2)**2/7
Let l(m) = 39*m - 21. Let g be l(7). Factor 162*f**4 - 8*f**2 + 754*f**5 + 208*f - 700*f**5 - 64 - g*f**3 - 80*f**2.
2*(f + 1)*(f + 4)*(3*f - 2)**3
Let u(j) be the first derivative of 37*j**6/2 + 16*j**5 - 329*j**4/4 - 6*j**3 + 74*j**2 + 8*j + 5593. Let u(z) = 0. Calculate z.
-2, -2/3, -2/37, 1
Let c(x) be the first derivative of -x**6/6 + 9*x**5 - 379*x**4/4 - 975*x**3 - 1250*x**2 - 1539. Factor c(t).
-t*(t - 25)**2*(t + 1)*(t + 4)
Let z be (3 + 22/(-8))*(-32 + -46 + 86). Factor 3/4*v + 1/4*v**z + 0.
v*(v + 3)/4
Let f(g) = -485 + g**2 + 205 + 193 - g. Let k be f(10). Let 3/2*q**2 + k*q + 3/2 = 0. Calculate q.
-1
Let o(m) = m**4 - 4*m**3 - m**2 + m - 2. Let y(u) = -2*u**5 + 105*u**4 - 32*u**3 - 559*u**2 - 735*u - 304. Let p(h) = -22*o(h) + 2*y(h). Factor p(a).
-4*(a - 47)*(a - 3)*(a + 1)**3
Suppose -7*p - 2*l = -9*p + 24, -28 = -3*p - l. Suppose 0 = p*h - 93 - 107. Solve h*r - 1/3*r**4 - 46/3*r**2 - 25/3 + 4*r**3 = 0.
1, 5
Let o be ((-20)/(-24) - (-12)/(-4))*-2. Let i = o + -11/3. Factor -2/3*k**4 + 4/3*k**2 + 2/3*k + 2/3*k**5 - 4/3*k**3 - i.
2*(k - 1)**3*(k + 1)**2/3
Suppose 554*j - 81 = 285*j + 310*j - 204. Find z such that 96/5*z**2 + 0*z**4 + 0 - 3/5*z**5 + 54/5*z**j + 9*z = 0.
-3, -1, 0, 5
Factor -31/4*b - 1/8*b**3 - 63/8*b**2 + 0.
-b*(b + 1)*(b + 62)/8
Let r(f) be the second derivative of 5*f**4/6 + 383*f**3/3 + 378*f**2 - 971*f + 4. Factor r(c).
2*(c + 1)*(5*c + 378)
Let t(l) be the third derivative of -102*l**2 - 5/336*l**8 - 1/14*l**7 + 1/4*l**5 + 0*l**3 - 1/24*l**6 + 5/12*l**4 + 0*l + 0. Determine g so that t(g) = 0.
-2, -1, 0, 1
Let l be (-2)/(-6) + (-42)/(-9). Let o = 272 - 270. Suppose x + 5*x**o - 2*x - 3*x**2 - 2*x**4 + 2*x - x**l = 0. What is x?
-1, 0, 1
Let a(f) = -62*f - 38. Let z be a(-4). Let c be 6 - z/24 - -3. Determine l so that 1/2*l + 0 - 1/4*l**2 - c*l**3 = 0.
-2, 0, 1
Let p(j) be the second derivative of j**9/1890 + j**8/240 + j**7/90 + j**6/90 + 59*j**4/12 - 47*j. Let h(q) be the third derivative of p(q). Factor h(n).
4*n*(n + 1)*(n + 2)*(2*n + 1)
Let m(s) be the second derivative of -s**7/8820 - s**6/1260 - 25*s**4/12 + 2*s + 16. Let d(y) be the third derivative of m(y). Determine f so that d(f) = 0.
-2, 0
Let r be (-66)/(-3) + 42/35*-5. Factor -3*u + 11*u + 6*u**3 - 14*u - r*u**2.
2*u*(u - 3)*(3*u + 1)
Let g be (-425)/(-8500) - (-18)/40. Factor -7/10*q**2 - g*q**3 + 1/2*q + 3/5 + 1/10*q**4.
(q - 6)*(q - 1)*(q + 1)**2/10
Find l such that -28/