+ 24/(-252). Factor -p*z + z**2 + 0 - 1/2*z**3.
-z*(z - 1)**2/2
Let z be (-1)/4 - (-6)/8. Let n(i) = i**2 - 169*i + 4792. Let a be n(133). Factor a*g**2 + 0 + 5/2*g**3 + z*g**4 + 2*g.
g*(g + 1)*(g + 2)**2/2
Find w such that 217/3*w**2 + 137/3*w**3 - 136/3*w - 41/3*w**4 - 1/3*w**5 - 176/3 = 0.
-44, -1, 1, 4
Let 0*m**4 - 152*m**3 + 11*m**4 + 1217*m - 2*m**4 + 481*m**2 + 225 - 1787*m + 7*m**4 = 0. Calculate m.
1, 15/4
Let f = -36/343 - -3583/30870. Let s(t) be the second derivative of 1/150*t**5 + 8*t + 0*t**2 + 0*t**3 - 1/315*t**7 + 1/225*t**6 - f*t**4 + 0. Factor s(q).
-2*q**2*(q - 1)**2*(q + 1)/15
Let r(y) = -y - 2. Let p be r(7). Let f(s) = -33*s + 15. Let l be f(p). Suppose -3*k**4 + 312*k**2 - l*k**2 - 12*k + 9*k**3 = 0. What is k?
-1, 0, 2
Let p be (4 - (-8 + 3)) + 3. Suppose 0*n - 10 = -2*n. Factor c**5 - c**4 + p*c - c**3 + n*c**2 - 14*c - 2*c**3.
c*(c - 1)**3*(c + 2)
Factor -2*g**5 - 342*g**3 - 64*g**3 - 348562*g**4 + 348154*g**4.
-2*g**3*(g + 1)*(g + 203)
Let m(b) = -6*b**3 - 85*b**2 - 127*b + 614. Let w(r) = -2*r**3 - 28*r**2 - 42*r + 204. Let i(v) = -2*m(v) + 7*w(v). Factor i(a).
-2*(a - 2)*(a + 5)*(a + 10)
Let v be ((-4)/10)/((-2)/10). Let p = -296953 - -296958. Solve 0 + 0*n + 2/15*n**p - 2/15*n**3 + 2/15*n**v - 2/15*n**4 = 0.
-1, 0, 1
Let f(y) be the first derivative of -y**5/10 - 253*y**4/24 + 214*y**3/9 - 43*y**2/3 + 810. Find x, given that f(x) = 0.
-86, 0, 2/3, 1
Let k(h) be the first derivative of -2/3*h**3 - 1/3*h**4 + 12*h**2 - 20*h - 23. Let o(t) be the first derivative of k(t). Factor o(z).
-4*(z - 2)*(z + 3)
Suppose 37*w**4 - 38*w + 160*w + 198*w**3 + 157*w + 1006 - 925 + 8*w**4 + 3*w**5 + 354*w**2 = 0. What is w?
-9, -3, -1
Let f = 2589848/7 - 369978. Factor 32/7 - 12/7*j - f*j**2.
-2*(j - 2)*(j + 8)/7
Suppose -8*a**4 - 3*a**5 + 0*a**5 + 0*a**4 + 3692*a**2 + 2*a**5 - 5*a**3 - 24*a - 3654*a**2 = 0. Calculate a.
-6, -4, 0, 1
Suppose 16*f + 46*f - 10*f - 104 = 0. Let y = 98/15 + -26/5. Factor -4/3*w**f + y*w + 8/3.
-4*(w - 2)*(w + 1)/3
Let z be 2/(-7) - (13754/(-161))/26. Let n be -6*(z/(-12) + (-2 - -2)). Find m such that 0 + m**3 + 2*m**2 - n*m + 1/2*m**5 - 2*m**4 = 0.
-1, 0, 1, 3
Let n(z) be the third derivative of -z**7/12600 - z**6/1200 + z**5/150 + 4*z**4 + 6*z**2. Let h(p) be the second derivative of n(p). What is q in h(q) = 0?
-4, 1
Factor 4/3*q**4 + 0*q + 2/3*q**2 + 0 + 5/3*q**3 + 1/3*q**5.
q**2*(q + 1)**2*(q + 2)/3
Let m be (14/8 + -2)*(-7665)/3066*4/5. Factor -2*q**3 + 0 - m*q**4 - 5/2*q**2 - q.
-q*(q + 1)**2*(q + 2)/2
Let t = 123506 - 864530/7. Factor 2/7*z**3 + 16/7*z**2 + t + 26/7*z.
2*(z + 1)**2*(z + 6)/7
Let a be (4648/42)/((-4)/18 - 0). Let v be ((-166)/a)/(2/(-18)*-1). Let -2/11*t**v - 50/11 + 18/11*t**2 - 30/11*t = 0. Calculate t.
-1, 5
Let y be (-9*(-10)/1080)/(15/18). Let m(u) be the first derivative of 24 - 4/5*u - 8/15*u**3 + u**2 + y*u**4. Factor m(l).
2*(l - 2)*(l - 1)**2/5
Suppose 13 + 41 = 5*q - 4*x, -26 = q - 10*x. Determine v so that q*v**2 + 0 + 6*v - 35/2*v**4 - 59/2*v**3 = 0.
-2, -2/7, 0, 3/5
Suppose -6*w + 19 + 11 = 0. Factor 48*z**3 + 7*z + 5*z + 2*z**2 + 38*z**2 + 25*z**4 - z**4 + 4*z**w.
4*z*(z + 1)**3*(z + 3)
Let t(n) = 20*n - 257. Let f be t(12). Let k be (3145/140)/f - 14/(-8). Factor 0 - k*m + 1/7*m**2.
m*(m - 3)/7
Let y(i) be the first derivative of -i**5/60 - 3*i**4/4 - 89*i**3/12 - 167*i**2/6 - 45*i - 1584. Find a, given that y(a) = 0.
-27, -5, -2
Let x(b) be the third derivative of -2/35*b**5 - 1/420*b**6 - 67*b**2 - 3/7*b**4 + 0 + 0*b + 0*b**3. Find a, given that x(a) = 0.
-6, 0
Let z(d) be the second derivative of 50/3*d**4 - 11/6*d**6 + 0 + 40*d**3 + 0*d**5 + 37*d - 5/14*d**7 + 40*d**2. Let z(c) = 0. Calculate c.
-2, -1, -2/3, 2
Let i(z) be the second derivative of -z**4/36 + 23*z**3/18 + 18*z**2 - 1301*z. Factor i(q).
-(q - 27)*(q + 4)/3
Let l(i) be the first derivative of i**4/9 + 28*i**3/27 + 4*i**2/3 + 869. Determine q, given that l(q) = 0.
-6, -1, 0
What is d in -146689/4 - 1/4*d**2 + 383/2*d = 0?
383
Let o(g) be the third derivative of -g**7/70 - 57*g**6/40 - 11*g**5/2 + 4688*g**2. Determine k so that o(k) = 0.
-55, -2, 0
Let v(r) be the third derivative of r**6/60 - r**5/2 + 7*r**4/6 - 2585*r**2. Factor v(x).
2*x*(x - 14)*(x - 1)
Let x be (-12)/(-70)*(-35630)/(-2036) + 62/(-34). Factor x*u - 2/17*u**2 - 32/17.
-2*(u - 8)*(u - 2)/17
Suppose -f - 5987 = -3*y, -5*y - 10001 = -10*y - 4*f. Find i, given that y*i**2 - 1995*i**2 + 18 - 14*i - 6*i = 0.
1, 9
Let p(j) be the third derivative of 0*j + 1/180*j**5 + 2738/9*j**3 + 0 - 30*j**2 + 37/18*j**4. Let p(u) = 0. Calculate u.
-74
Suppose 5*a - 85 = -5*l, 2*l - 20 = 285*a - 280*a. Determine p so that 0 + 1/3*p**a + 0*p - 19/2*p**3 = 0.
0, 2/57
Let d = -5993/186770 + 1/1966. Let v = 301/95 - d. Factor 64/5*c - v - 28/5*c**2.
-4*(c - 2)*(7*c - 2)/5
Let u = 219 - 303. Let w be (-168)/144*9/u. Solve -1/8 + 1/4*v**2 - 1/8*v**4 - 1/8*v**5 + 1/4*v**3 - w*v = 0 for v.
-1, 1
Let v(r) be the third derivative of -r**6/320 - 21*r**5/160 - 17*r**4/16 - 14471*r**2. Suppose v(n) = 0. Calculate n.
-17, -4, 0
Let q = -4648/3 + 1550. Let b(h) be the first derivative of -q*h**3 - 20 + 6*h**2 - 18*h. Factor b(s).
-2*(s - 3)**2
Determine s so that -2/3*s**2 - 1312/3 + 220*s = 0.
2, 328
Suppose 0 = -3*x - 4*q + 76, -54*x = -59*x + 61*q + 465. Solve x + 65/2*h + 1/2*h**2 = 0.
-64, -1
Suppose -136/7*y + 226/7*y**4 + 388/7*y**2 - 454/7*y**3 - 40/7*y**5 + 16/7 = 0. What is y?
1/4, 2/5, 1, 2
Let i(w) be the third derivative of -1/180*w**5 + 5/12*w**4 - 259*w**2 + 0*w + 0 + 0*w**3. Factor i(y).
-y*(y - 30)/3
Let v(n) be the second derivative of -25/2*n**2 + 0 + 5/6*n**4 - 5/42*n**7 + 5/2*n**5 - 120*n + 1/2*n**6 - 15/2*n**3. Factor v(m).
-5*(m - 5)*(m - 1)*(m + 1)**3
Let 69*z + 4*z**2 - 2 - 14 - 14*z - 67*z = 0. Calculate z.
-1, 4
Let f = 16 - 14. Suppose f*o - 4 = -0, 4*o = -5*y + 133. Determine g so that 6*g + 10*g - 4*g**4 + 20*g**3 + y*g**2 - 57*g**2 = 0.
0, 1, 2
Let f(z) be the second derivative of -1/16*z**4 + 87/4*z**3 - 293*z + 0 - 22707/8*z**2. Factor f(o).
-3*(o - 87)**2/4
Suppose -12*w + 14*w - 206 = -3*p, -2*w + 62 = p. Suppose p*c - 252 = 9*c. Factor -27/4*n**2 - 15/4*n**c + 3/2 - 39/4*n**3 + 3/4*n.
-3*(n + 1)**3*(5*n - 2)/4
Let y(a) be the second derivative of 0*a**2 + 0*a**4 - 1/357*a**7 - 1/85*a**6 + 4*a + 2/85*a**5 + 0*a**3 + 8. Find b, given that y(b) = 0.
-4, 0, 1
Solve 272 + 36*g + 3*g**2 + 496 + 84*g = 0.
-32, -8
Let k(t) = -1806*t + 1048 + 2036*t + 5224 - t**2. Let y(g) = -228*g - 6272. Let u(n) = 2*k(n) + 3*y(n). Factor u(c).
-2*(c + 56)**2
Let y(j) be the first derivative of -1/5*j**2 + 0*j - 148 - 2/15*j**3. Solve y(t) = 0 for t.
-1, 0
Suppose 61*w - 40 = 69*w. Let m be 0 + 6*w/(-5 - 5). Factor -3/5*h**m + 3/5*h - 2/5 + 1/5*h**4 + 1/5*h**2.
(h - 2)*(h - 1)**2*(h + 1)/5
Let w(t) be the second derivative of -t**7/42 + 7*t**6/60 - 7*t**5/40 + t**4/12 + 1957*t. Suppose w(r) = 0. Calculate r.
0, 1/2, 1, 2
Let c(x) = 54*x - 3. Let i be c(2). Let m = 108 - i. Factor -5*o**4 + m*o**5 - 3*o**4 + 17*o**4.
3*o**4*(o + 3)
Suppose -4*s + 15 + 57 = 0. Suppose h - 3*w = -3, -2*h - 6*w + 3*w + 12 = 0. Determine j so that 24 + 65*j - 101*j + 0*j**h + s*j**2 - 3*j**3 = 0.
2
Let n be 60/25 + 90/(-225). Let w(z) be the first derivative of -1/5*z**n - 4/5*z + 9 + 2/15*z**3. Solve w(c) = 0 for c.
-1, 2
Let d be -24*(-3)/350 - (-2)/(-7). Let g = 183/100 + d. Factor -g*k**2 - 2*k - 1/4*k**3 + 4.
-(k - 1)*(k + 4)**2/4
Let f(m) be the third derivative of m**6/40 + m**5/10 - 41*m**4/8 - 21*m**3 + 211*m**2. Let f(h) = 0. Calculate h.
-7, -1, 6
Let w be (-2 - -9)/((-7)/21). Let t = w - -31. Factor -11*z - 20 - t*z + 3*z - 5*z**2 - 2*z.
-5*(z + 2)**2
Let w(g) be the second derivative of -g**5/30 + 85*g**4/18 - 158*g**3/9 - 664*g**2/3 - 948*g. Solve w(a) = 0.
-2, 4, 83
Let c(v) = -34 + 5 - 3*v - 22 + 14 + v. Let x be c(-20). Factor 0 - 22/5*d**2 + 6*d**x + 4/5*d.
2*d*(3*d - 1)*(5*d - 2)/5
Let d(a) be the first derivative of -a**5/35 + a**4/7 + 20*a**3/21 - 100*a + 87. Let k(j) be the first derivative of d(j). Solve k(l) = 0 for l.
-2, 0, 5
Factor 1/12*q**5 + 5/6*q**2 + q**4 + 0 + 0*q + 7/4*q**3.
q**2*(q + 1)**2*(q + 10)/12
Let w be (12/14)/(12/21) - 3196/2632. Factor w*v**2 + 4/7*v + 2/7.
2*(v + 1)**2/7
Let b(k) = -3*k**3 - 469*k**2 - 2715*k - 4003. Let q(