-2*(w + 325)**4
Let l(s) be the first derivative of 7*s**4/20 + 31*s**3/15 + 4*s**2 + 12*s/5 - 1055. Find g such that l(g) = 0.
-2, -3/7
Let a(g) = g**2 + g + 1. Let s = 132 + -144. Let b(i) = i**2 + 8*i + 8. Let r(y) = s*a(y) + 3*b(y). Factor r(q).
-3*(q - 2)*(3*q + 2)
Let v = 1205 + -682. Let i = v - 1567/3. Factor -4/3*j + 2/3*j**4 - i*j**2 + 4/3*j**3 + 0.
2*j*(j - 1)*(j + 1)*(j + 2)/3
Let i be ((-5700)/(-24))/(-25) - 1/2. Let h be i/((-10)/4*1). Find d, given that 0*d - 4/9*d**3 + 0*d**2 + 2/9*d**5 + 2/9*d**h + 0 = 0.
-2, 0, 1
Suppose 4*u + 4*g - 12 = 0, 5*u + 0*g - 15 = -3*g. Factor 47 + 5*i**u + 3 + 105*i + 52*i**2 + 8*i**2.
5*(i + 1)**2*(i + 10)
Let x(u) be the second derivative of -2*u**7/105 + 2*u**6/5 - 22*u**5/25 - 18*u**4/5 + 46*u**3/15 + 78*u**2/5 - 3261*u. Let x(p) = 0. What is p?
-1, 1, 3, 13
Let c(g) be the first derivative of -g**5/15 + 2*g**4 - g**2 + 46*g + 41. Let z(f) be the second derivative of c(f). Factor z(u).
-4*u*(u - 12)
Let n = -1021571 + 1021573. Determine o, given that 0 - 6/11*o + 6/11*o**3 + 1/11*o**4 - 1/11*o**n = 0.
-6, -1, 0, 1
Let s(l) be the first derivative of l**6/6 - 5*l**4/12 + 17*l + 50. Let p(m) be the first derivative of s(m). Find j such that p(j) = 0.
-1, 0, 1
Suppose 2 + 8 = 2*m. Suppose -7*o = 4*r - 3*o - 24, -5*r = -m*o - 20. Factor 6 + 4 - n - n**3 - 4*n**2 - r + 1.
-(n - 1)*(n + 2)*(n + 3)
Suppose -28*j - 9681 + 9681 = 0. Solve 345/4*s**4 - 225/2*s**5 - 55/4*s**2 + 5/2*s**3 + j + 5/2*s = 0.
-2/5, 0, 1/3, 1/2
Let o = -136091/20 + 6805. Let j(l) be the second derivative of -3/2*l**3 + 0 + o*l**5 - 29*l + 1/5*l**6 - 1/4*l**4 - 3/2*l**2. Factor j(c).
3*(c - 1)*(c + 1)**2*(2*c + 1)
Let b(y) be the first derivative of -y**5/10 + 7*y**4/3 - 13*y**3/3 + 103*y - 107. Let j(u) be the first derivative of b(u). Factor j(f).
-2*f*(f - 13)*(f - 1)
Suppose 13*i + 20982 = -22191. Let o = -22665/7 - i. Solve o*u**2 - 520/7*u - 200/7 + 2*u**4 - 164/7*u**3 = 0 for u.
-2/7, 2, 5
Suppose 5*q + 0*q - 5*z + 140 = 0, 0 = 4*z + 8. Let c = q + 51. Factor -5*m + m + c + 4*m**2 - 6*m**2 - 15.
-2*(m - 1)*(m + 3)
Let a(q) be the second derivative of -101/4*q**5 + 0 - 40*q**3 - 90*q**2 + 715/12*q**4 + 57*q - 5/14*q**7 + 29/6*q**6. Find u such that a(u) = 0.
-1/3, 2, 3
Let p(k) = -5*k**2 + 439*k - 362. Let a(x) = 60*x**2 - 5245*x + 4345. Let l(m) = -3*a(m) - 35*p(m). Solve l(z) = 0.
1, 73
Let t = 106697/74634 + -11/10662. Factor t*g**3 + 54/7*g**2 + 16/7 + 60/7*g.
2*(g + 1)*(g + 4)*(5*g + 2)/7
Let l(r) = r**2 + 1. Let i be l(1). Suppose -14*y + 13*y + i = 0. Factor k**3 - 2*k + 4*k**2 - 2*k**2 + k**2 - 2*k**y.
k*(k - 1)*(k + 2)
Suppose 2315/4*g + 579/2 + 289*g**2 - 1/4*g**3 = 0. What is g?
-1, 1158
Let m(u) be the third derivative of u**8/147 - 4*u**7/105 - 263*u**6/840 + 781*u**5/420 - 169*u**4/84 + 20*u**3/21 + 832*u**2. Let m(l) = 0. Calculate l.
-4, 1/4, 2, 5
Let 76/5*g**4 - 152/5*g**2 + 76/5 - 4/5*g**3 + 2/5*g + 2/5*g**5 = 0. Calculate g.
-38, -1, 1
Let s(d) be the second derivative of 1/20*d**6 + 0*d**3 - 1/12*d**4 + 61*d + 0 + 0*d**2 + 1/40*d**5. Factor s(y).
y**2*(y + 1)*(3*y - 2)/2
Let d(s) be the third derivative of s**5/60 + 73*s**4/24 + 656*s**3/3 + 12*s**2 - 24*s - 1. Factor d(u).
(u + 32)*(u + 41)
Suppose 0 = -5*w + 3*p + 703 + 317, -3*w + 5*p + 628 = 0. Suppose -9*r + w = 156. Factor 0 + 4/3*k**2 - 2*k**3 + 2/3*k**r + 0*k + 0*k**4.
2*k**2*(k - 1)**2*(k + 2)/3
Let q(t) = -t**2 - 13*t + 8. Suppose -h - 165 = 10*h. Let f be h/(3/(-1)) - (-1)/1. Let a(k) = k**2 + k - 1. Let j(x) = f*a(x) + q(x). Solve j(r) = 0 for r.
2/5, 1
Let m(n) be the third derivative of n**5/450 + 11*n**4/36 - 58*n**3/15 - 1329*n**2 + 1. Factor m(q).
2*(q - 3)*(q + 58)/15
Let c(j) be the first derivative of 3*j**6/2 - 591*j**5/20 + 579*j**4/8 + 277*j**3/4 + 63*j**2/4 + 14368. Suppose c(d) = 0. Calculate d.
-1/3, -1/4, 0, 3, 14
Let x(q) = 10*q**2 + 85*q + 230. Let a(m) be the first derivative of 5*m**3 + 63*m**2 + 344*m - 88. Let p(r) = 5*a(r) - 8*x(r). Factor p(v).
-5*(v + 4)*(v + 6)
Let v be ((-7515)/150 - -53) + (-3)/(-5). Factor 0 + 1/4*k**2 - v*k.
k*(k - 14)/4
Let j = -109 - -113. Suppose j*l + 0*k - 82 = k, -2*l + 4*k + 48 = 0. Find s, given that -8*s**2 + 16*s - 16 - 51*s**3 + l*s**2 + 18*s**4 + 56*s - 7*s**3 = 0.
-1, 2/9, 2
Let n = -10149 + 91217/9. Let s = n - -886/63. Solve 6/7*u + s*u**2 + 4/7 = 0 for u.
-2, -1
Let y(u) be the second derivative of -u**5/20 - 77*u**4/2 - 11858*u**3 - 1826132*u**2 - 792*u. Factor y(v).
-(v + 154)**3
Let i = 17986 - 17984. Let v(g) be the second derivative of 9/4*g**i + 0 + 1/8*g**4 - 5/4*g**3 + 17*g + 3/40*g**5. Suppose v(k) = 0. Calculate k.
-3, 1
Let o(j) = j**4 - 2*j**3 - j**2 + j - 1. Let k(u) = 2*u**4 - 709*u**3 - 40370*u**2 + 41072*u - 5. Let w(p) = k(p) - 5*o(p). Factor w(r).
-3*r*(r - 1)*(r + 117)**2
Let f(n) = 5*n**4 - 150*n**3 + 465*n**2 + 1430*n + 810. Let j(o) = 3*o**4 - 76*o**3 + 232*o**2 + 716*o + 405. Let h(d) = 2*f(d) - 5*j(d). Factor h(y).
-5*(y - 9)**2*(y + 1)**2
Suppose -6*y - 79 = -115. Let -11*v**2 - 105*v**3 + 92*v**3 + y*v + 8*v - v**4 - 50*v - 37*v**2 = 0. Calculate v.
-6, -1, 0
Let p be 48/(1440/(-1110)) + 40. Suppose -15/8*y**4 + 0 + 1/4*y**p - 1/4*y + 15/8*y**2 = 0. Calculate y.
-1, 0, 2/15, 1
Let x(l) be the second derivative of -l**4/6 + 835*l**3/3 + 1674*l**2 - 12042*l. Find g such that x(g) = 0.
-2, 837
Let l(q) be the second derivative of -7/150*q**5 - 36*q + 0*q**3 + 1/45*q**4 - 1/25*q**6 + 0 + 0*q**2. Factor l(d).
-2*d**2*(d + 1)*(9*d - 2)/15
Suppose 12*o + 0 - 24 = 0. Suppose 2*g + o*g + 2*s - 8 = 0, -5*s - 10 = 0. Let -10/11*r + 8/11*r**4 + 8/11*r**g + 2/11*r**5 - 4/11 - 4/11*r**2 = 0. Calculate r.
-2, -1, 1
Let a(g) = -2*g**3 - g**2 + 5*g - 3. Let u(s) = 11*s**3 + 6455*s**2 + 13867475*s + 9938375015. Let r(n) = -5*a(n) - u(n). Factor r(q).
-(q + 2150)**3
Let o be 14/49*(-336)/(-32). Let l(k) be the second derivative of 0 + 0*k**2 + 5/24*k**o - 21*k + 5/16*k**4. Factor l(a).
5*a*(3*a + 1)/4
Factor 25*x**3 - 3*x**4 - 63*x**2 - 77*x**3 - 14 + 23*x**3 - 51*x.
-(x + 1)**2*(x + 7)*(3*x + 2)
Let v = -162058 - -162060. Solve -2*u + 0 - v*u**3 - 20/3*u**2 = 0.
-3, -1/3, 0
Let h(k) be the first derivative of k**4/12 + k**3 + 4*k**2 + 55*k - 17. Let m(b) be the first derivative of h(b). Factor m(x).
(x + 2)*(x + 4)
Let d(w) be the second derivative of -w**4/28 + 261*w**3/7 - 204363*w**2/14 + 60*w. Determine u, given that d(u) = 0.
261
Suppose -5*i = -4*r - 677, -3*r = 5*i - 285 - 406. Let l = 201 - i. Let -200*w - 73*w**2 - 61 - l - 7*w**2 = 0. Calculate w.
-5/4
Let y(o) be the first derivative of o**3/6 - 25*o**2/8 + 57*o/4 + 560. Solve y(j) = 0.
3, 19/2
Let p(d) = -d**3 - 19*d**2 + 47*d + 109. Let x be p(-21). Let 194*r**4 - 195*r**x - r**3 - 1 + 3 + 5*r + 3*r**2 = 0. What is r?
-1, 2
Factor -89032*q + 178201*q + 146 + 16 - 89090*q - q**2.
-(q - 81)*(q + 2)
Let i(p) be the third derivative of -p**5/570 - 311*p**4/228 - 310*p**3/57 + 1215*p**2. Factor i(j).
-2*(j + 1)*(j + 310)/19
Suppose 0 = 4*r - u - 281, -4*u = -13*r + 17*r - 276. Solve -r*z**4 + 42*z - 10*z + 149*z**4 + 22*z**3 - 77*z**4 + 52*z**2 = 0 for z.
-8, -2, -1, 0
Let u(h) be the third derivative of h**6/720 + 649*h**5/180 + 421201*h**4/144 + 1582*h**2. Determine q, given that u(q) = 0.
-649, 0
Let m be (-22)/((-2)/(-4)*0 + -1). Let s = -19 + m. Let -9119 - 2*g**2 - g**s + 9119 - g = 0. Calculate g.
-1, 0
Let g(p) be the second derivative of p**5/10 + 5*p**4/6 + p**3 - 9*p**2 + 640*p. Factor g(s).
2*(s - 1)*(s + 3)**2
Let q(p) be the third derivative of -7/130*p**5 + 1/65*p**7 - 1/780*p**6 + 0*p**3 + 5/156*p**4 + 0*p + 0 - 1/546*p**8 - 147*p**2. Solve q(j) = 0.
-1, 0, 1/4, 1, 5
Let f(k) be the first derivative of k**4/84 + 6*k**3/7 + 5*k**2/2 + 74*k + 97. Let i(y) be the first derivative of f(y). Determine p so that i(p) = 0.
-35, -1
Let n(j) be the second derivative of 9*j**5/100 - 7*j**4/6 + 64*j**3/15 + 16*j**2/5 - 2450*j. Factor n(f).
(f - 4)**2*(9*f + 2)/5
Let x(a) be the second derivative of 7/255*a**6 + 11/17*a**4 + 2*a + 8/17*a**2 + 37/170*a**5 + 22 + 44/51*a**3. Solve x(v) = 0 for v.
-2, -1, -2/7
Let f(k) be the third derivative of -34*k**2 + 2/9*k**4 + 5/18*k**3 + 0 + 1/60*k**5 - 2*k. Factor f(h).
(h + 5)*(3*h + 1)/3
Let r(k) be the second derivative of 3*k**5/40 - 11*k**4/24 - 19*k**3/6 - 6*k**2