4*i - 2/3*i**3 + 0 + 88*i**2.
-2*i*(i - 66)**2/3
Let y = 110929 + -110925. Factor y*a + 2/3*a**2 + 0.
2*a*(a + 6)/3
Let w(p) be the third derivative of -1/10*p**6 + 0 + 40/21*p**3 - 19/105*p**5 + 0*p - 225*p**2 + 1/2*p**4 - 2/735*p**7. Solve w(b) = 0 for b.
-20, -1, 1
Let j be 119/34*((-16)/(-14))/2. Suppose 3 = 3*u + 5*y - j*y, 2*y - 2 = 0. Suppose 0 + u*s - 16/9*s**3 - 4/9*s**4 - 4/3*s**2 = 0. Calculate s.
-3, -1, 0
Let s(v) be the second derivative of -5 - 36/5*v**2 - 4/3*v**4 + 1/25*v**5 + 74/15*v**3 - 9*v. Solve s(x) = 0.
1, 18
Let z(q) be the first derivative of -q**7/6720 + q**6/180 + 7*q**5/192 + 3*q**4/32 - 56*q**3/3 + 24. Let h(k) be the third derivative of z(k). Solve h(f) = 0.
-1, 18
Let y = -28334 - -28337. Factor 8/5*n**y + 0*n + 2/5*n**4 + 6/5*n**2 + 0.
2*n**2*(n + 1)*(n + 3)/5
Let m(c) be the first derivative of -2*c**6/3 + 259*c**5/5 - 191*c**4/4 - 64*c**3/3 - 2860. Suppose m(t) = 0. Calculate t.
-1/4, 0, 1, 64
Suppose 2*p + 248 = 10*p. Let i = -26 + p. Factor -6*m**4 + 5*m**4 - 71*m**5 + 34*m**i + 41*m**5.
m**4*(4*m - 1)
Determine x, given that -904/15*x + 2/15*x**2 + 902/15 = 0.
1, 451
Let m be (3873/5)/((-33)/22). Let p = m + 517. Factor p + 3/5*k**2 + 2*k.
(k + 3)*(3*k + 1)/5
Let o(n) = 4*n**3 + 3*n**2 - 7*n - 9. Let s(j) = -2*j - 43. Let p be s(-22). Let v(a) = a**3 + a**2 - 1. Let x(u) = p*o(u) - 3*v(u). Factor x(q).
(q - 3)*(q + 1)*(q + 2)
Let k(z) be the second derivative of -z**5/250 + 61*z**4/50 - 298*z**3/25 + 712*z**2/25 - 5936*z. Suppose k(h) = 0. Calculate h.
1, 4, 178
Let v(z) be the third derivative of z**10/15120 - z**8/3360 + 5*z**4/24 + 2*z**3 - 2*z**2 - 40*z. Let f(r) be the second derivative of v(r). Factor f(x).
2*x**3*(x - 1)*(x + 1)
Determine x so that -1/2*x**2 + 0 - 5*x + 4/5*x**3 - 1/10*x**4 = 0.
-2, 0, 5
Suppose -34*a = 91*a - 15*a - 330. Let r be (-22)/(-6) + (-10)/15. Suppose -3*b**2 - 7 - b**r + 3 + 3 - a*b + 0*b = 0. Calculate b.
-1
Let a = -332947/5 + 66593. Let -1/5*h**2 + a + 7/5*h = 0. What is h?
-2, 9
Let d(f) be the third derivative of 0*f - 92*f**2 - 135/8*f**4 - 9/8*f**6 + 25/2*f**3 + 2/35*f**7 + 151/20*f**5 + 0. Determine k so that d(k) = 0.
1/4, 1, 5
Suppose 656/11*q + 24 - 406/11*q**2 + 6/11*q**3 = 0. Calculate q.
-1/3, 2, 66
Suppose 59*a**3 + a - 18*a**3 + 40*a**4 + 8*a**5 + 46*a**2 - 2 + 31*a**3 - a**5 - 4 = 0. Calculate a.
-3, -1, 2/7
Let i = 718 + -703. Let f be (-4)/(-56) - i/(-70). Factor 0 - 12/7*r - f*r**2 + 2/7*r**3.
2*r*(r - 3)*(r + 2)/7
Let k(c) = 2*c - 46. Let w be k(20). Let s be w/18 - (-21)/9. Let 0*j**2 - 36*j - 15*j**s + 21*j**2 + 102*j**2 + 3 = 0. Calculate j.
1/6
Let v be (-144)/312*338/(-91). Factor -v - 3/7*z**2 + 12/7*z.
-3*(z - 2)**2/7
Suppose n + 20 = u + 7, -4*n + 12 = 0. Factor 7*v**2 - 12*v**2 + 3*v**2 + 5 + 5*v**2 - u*v.
(v - 5)*(3*v - 1)
Let l(d) be the second derivative of -d**7/252 + 7*d**6/180 + 17*d**5/40 + 101*d**4/72 + 41*d**3/18 + 2*d**2 - 6*d + 129. Factor l(u).
-(u - 12)*(u + 1)**3*(u + 2)/6
Let q(p) be the second derivative of 0 + 24*p**2 - 81*p - 26/3*p**3 + 1/3*p**4. Factor q(z).
4*(z - 12)*(z - 1)
Let n(p) = -3*p**2 - 48*p + 4. Let u be n(-16). Let c be (-6)/u + (-7 - 369/(-42)). Determine j so that 4/7*j**5 - 2/7*j**4 + 0 + 2/7*j + c*j**2 - 6/7*j**3 = 0.
-1, -1/2, 0, 1
Let o(v) be the second derivative of 5*v**7/147 + 8*v**6/105 - 2*v**5/35 + 1735*v. Factor o(g).
2*g**3*(g + 2)*(5*g - 2)/7
Let g(w) = -15*w**2 - 620*w + 423. Let i be g(-42). Factor -1/11*p**2 + 1/11*p**4 + 0 - 1/11*p + 1/11*p**i.
p*(p - 1)*(p + 1)**2/11
Let j(m) be the third derivative of 0*m + 0*m**4 - 4/135*m**6 + 0*m**3 + 2/945*m**7 + 7*m**2 + 0 - 1/15*m**5. Factor j(z).
4*z**2*(z - 9)*(z + 1)/9
Find s such that -1/2*s**5 - 98*s**2 + 128 + 77*s**3 - 60*s - 27/2*s**4 = 0.
-32, -1, 2
Let z(l) be the third derivative of -2*l**7/105 + 7*l**6/6 + 2*l**2 + 4*l - 1. Find n, given that z(n) = 0.
0, 35
Let v(s) be the second derivative of 0*s**2 + 19 + 23/30*s**6 + 0*s**3 + 9*s - 2*s**5 + 5/42*s**7 + s**4. What is m in v(m) = 0?
-6, 0, 2/5, 1
Factor -912/7 - 736/7*n - 4/7*n**3 + 172/7*n**2.
-4*(n - 38)*(n - 6)*(n + 1)/7
Let n be (1788/3129)/((-18)/(-154)). Let p(u) be the second derivative of -7*u - 1/3*u**4 + 32/3*u**2 + 0 - n*u**3. Suppose p(h) = 0. What is h?
-8, 2/3
Let g(x) be the third derivative of 1/525*x**7 - 1/50*x**5 - 4*x**2 - 16 + 1/300*x**6 - 2/15*x**3 + 0*x - 1/12*x**4. Factor g(z).
2*(z - 2)*(z + 1)**3/5
Let m(n) be the third derivative of -n**5/15 - 345*n**4/2 - 3503*n**2. Solve m(a) = 0 for a.
-1035, 0
Suppose -4*i - 3*k = -167, -2*i - 97 = -4*i + 3*k. Suppose 9*s + i = 62. Solve -56*h + 196/3*h**s + 12 = 0 for h.
3/7
Factor -1/8*m**2 - 539/2*m - 290521/2.
-(m + 1078)**2/8
Solve -189*p**3 + 40*p**2 - 4*p - 300*p**2 - 5*p**5 - 85*p**4 + 4*p - 91*p**3 = 0 for p.
-13, -2, 0
Factor 117/2 - 1/4*k**3 + 8*k**2 + 267/4*k.
-(k - 39)*(k + 1)*(k + 6)/4
Let x(w) be the first derivative of -w**3/15 + 131*w**2/2 - 654*w/5 - 8427. Factor x(n).
-(n - 654)*(n - 1)/5
Let z(r) be the first derivative of -11*r**5/5 - 79*r**4/4 - 124*r**3/3 - 10*r**2 - 2058. Solve z(i) = 0.
-5, -2, -2/11, 0
Let l(c) = -13*c**4 + 151*c**3 - 47*c**2 - 151*c + 63. Let v(f) = -64*f**4 + 756*f**3 - 236*f**2 - 756*f + 314. Let d(q) = -28*l(q) + 6*v(q). Solve d(u) = 0.
-1, 2/5, 1, 15
Let z(j) be the first derivative of j**4/16 - 41*j**3/6 + 1233*j**2/8 - 1296*j - 11124. Let z(a) = 0. Calculate a.
9, 64
Let p(u) be the first derivative of u**4/9 + 2*u**3/9 - 147*u + 163. Let l(s) be the first derivative of p(s). Factor l(w).
4*w*(w + 1)/3
Let h be (4/3)/((-224)/(-4536)). Solve 8*n**2 - 84*n + h*n**3 + 450 + 61*n**3 - 494 + 36*n**4 - 4*n**5 = 0 for n.
-1, 1, 11
Let d = -254 - -286. Find o, given that -34*o**3 - 80*o - 9 + d + 66*o**2 - 36*o + 25 + 24*o**3 = 0.
3/5, 2, 4
Let k be 40/(-4) + 4 + 4. Let p be (9 + -3)*k/(-4). Factor 0*b**3 - p*b**3 + 4*b**2 - b**4 + 309*b - 309*b.
-b**2*(b - 1)*(b + 4)
Solve 313*m**5 - 6 - 9*m**2 + 6 - 35*m**2 - 309*m**5 + 44*m**4 - 72*m + 68*m**3 = 0 for m.
-9, -2, -1, 0, 1
Let g(q) be the first derivative of 26/5*q + 32 - 2/15*q**3 + 12/5*q**2. Find x such that g(x) = 0.
-1, 13
Let x(l) be the third derivative of -l**6/160 - 153*l**5/80 + 233*l**4/16 - 39*l**3 + 4074*l**2. Factor x(g).
-3*(g - 2)*(g - 1)*(g + 156)/4
Determine q, given that 2294/9*q**2 + 2/9*q**4 + 0 + 1922/3*q + 130/9*q**3 = 0.
-31, -3, 0
Let u be ((-40)/25)/(6/(-15)) - 2. Factor -26*g**u + 9*g - 9*g**2 + g**4 + 54*g**2 + 11*g**3.
g*(g + 1)**2*(g + 9)
Factor 136/5*h**2 + 278/5*h - 2/5*h**3 + 28.
-2*(h - 70)*(h + 1)**2/5
Let q = 113/276 + -1559/3864. Let z(y) be the second derivative of -29*y + 1/80*y**5 + 0*y**3 + 0*y**6 - q*y**7 - 2 + 0*y**2 + 0*y**4. Factor z(c).
-c**3*(c - 1)*(c + 1)/4
Factor 87*l - 5*l**2 + 5*l**2 + 47*l - 5*l**2 + l.
-5*l*(l - 27)
Let -2/7*v**3 - 10880/7*v - 76800/7 + 44*v**2 = 0. Calculate v.
-6, 80
Suppose 3*z + 1 = 7. Let h = -768775 + 768778. Solve 4*l**4 + 0*l - 8/3*l**h - 4/3*l**z + 0 = 0.
-1/3, 0, 1
Let l(w) be the first derivative of -3*w**5/5 - 19*w**4/4 - 16*w**3/3 + 10*w**2 + 4822. Factor l(c).
-c*(c + 2)*(c + 5)*(3*c - 2)
Suppose -18*m = -19*m - 5*l - 17, -2*m - 10 = 4*l. Let o(j) be the third derivative of 0*j + 0 + 50*j**2 + 3/2*j**m - 5/12*j**4 + 1/60*j**5. Factor o(y).
(y - 9)*(y - 1)
Let k(p) be the third derivative of p**5/240 + 977*p**4/48 + 954529*p**3/24 - 4*p**2 - 98. Solve k(v) = 0.
-977
Let t be (-15)/100 + (-390)/(-975). Factor -t*a**3 - 1/4*a + 0 - 1/2*a**2.
-a*(a + 1)**2/4
Let o(m) = m**5 + m**4 - 57*m**3 + 3*m**2 + 56*m - 6. Let l(g) = 2*g**2 - 3. Let y(h) = 2*l(h) - o(h). Let y(t) = 0. Calculate t.
-8, -1, 0, 1, 7
Factor 227/4*t + 77/4 + 31/2*t**3 + 109/2*t**2 - 1/4*t**5 - 7/4*t**4.
-(t - 7)*(t + 1)**3*(t + 11)/4
Let f = -319 + 346. Factor 0 - f*o**2 - 40*o**3 + 24*o + 0 + 0 + 43*o**3.
3*o*(o - 8)*(o - 1)
Factor -3/7*w**3 - 6/7 + 6/7*w**2 + 3/7*w.
-3*(w - 2)*(w - 1)*(w + 1)/7
Let w be (-2)/14 - (256/(-28) + 9). Factor -5*r**2 - r**3 + 12*r**4 - 4*r**4 - 3*r + w*r - 7*r**4.
r*(r - 3)*(r + 1)**2
Factor 610*a**2 - 239*a**2 - 220*a - 222 - 369*a**2.
2*(a - 111)*(a + 1)
Let d(m) = m**3 + 36*m**2 + 34*m + 15. Let x be d(-35). Let u = 52 - x. Solve -2/5 + 18*f**3 - 2/5*f + 42/5*f**u = 0.
-1/3, 1/5
Let a(l) be the second derivative of -3*l**5/80 + 1663*l**4/48 + 1111