 625*v + 5. Let t(i) = 0. Calculate i.
-5, -11/4, -2
Suppose 2*a - 2*t = 12, -11*t + 8*t = -a + 12. Factor -117*k**2 - 4*k**a + 2*k**3 + 107*k**2.
-2*k**2*(k + 5)
Suppose -2368 = -32*g - 7424. Let k be g/(-126) - (-1)/(-7). Find u such that 0 + 8/9*u + k*u**3 - 16/9*u**2 - 2/9*u**4 = 0.
0, 1, 2
Let i(g) be the second derivative of -g**7/840 - g**6/240 + 19*g**4/12 + g**3/2 + 6*g. Let t(f) be the third derivative of i(f). Let t(s) = 0. Calculate s.
-1, 0
Let l = -173 + 96. Let h = -73 - l. Factor -20*g**3 + 14*g**2 + 5*g**h + 80*g - 90*g + 11*g**2.
5*g*(g - 2)*(g - 1)**2
Suppose 16*p - 199 = -359*p + 551. Determine o, given that -8/7 + 1/7*o**p - 18/7*o - 3/7*o**5 + 3*o**3 + o**4 = 0.
-1, -2/3, 1, 4
Let k(s) = -65*s**3 + 471*s**2 - 2611*s - 3120. Let r(q) = 115*q**3 - 824*q**2 + 4569*q + 5460. Let w(m) = -16*k(m) - 9*r(m). Find i such that w(i) = 0.
-1, 12, 13
Let a = -567/16 + 589/16. Let p(l) be the third derivative of -4/21*l**7 + 0 + 8*l**2 + 35/12*l**4 - 5/3*l**3 - 7/6*l**6 + 0*l - a*l**5. Factor p(w).
-5*(w + 2)**2*(4*w - 1)**2/2
Let p be (-410)/(-34) + 15/2805*-11. Let i(n) be the first derivative of 20*n + p*n**2 - 12 + 4/3*n**3. Solve i(x) = 0 for x.
-5, -1
Let y = -441 - -443. Suppose 5*t - 2*p - 28 = -6*p, 8 = 3*t - y*p. Suppose 7/3*h**2 - 1/3*h**5 + 5/3*h**t - 3*h**3 - 2/3*h + 0 = 0. What is h?
0, 1, 2
Let s be 10/8*(-10758)/(-99) - (850/20)/17. Factor -s - 41/3*w**2 - 440/3*w - 1/3*w**3.
-(w + 1)*(w + 20)**2/3
Let 24*z**2 + 100*z**2 - 287*z**3 + 283*z**3 = 0. What is z?
0, 31
Let l(m) be the first derivative of 0*m**3 + 1/17*m**2 - 57 - 1/34*m**4 + 0*m. Let l(p) = 0. What is p?
-1, 0, 1
Suppose -166*s + 177*s**3 - 107*s**2 + 25*s**5 - 3*s**4 + 136 - 26*s**5 - 10*s**3 + 0*s**3 - 26*s**4 = 0. Calculate s.
-34, -1, 1, 4
Let s(j) be the first derivative of 0*j - 10 - 2/7*j**3 + 13/14*j**2. Factor s(i).
-i*(6*i - 13)/7
Let q(i) be the first derivative of -32*i**5/45 - 100*i**4/9 + 206*i**3/27 - 13*i**2/9 + 1245. Solve q(f) = 0 for f.
-13, 0, 1/4
Let o(m) be the first derivative of -m**6/1800 - m**5/60 + 11*m**4/120 - 14*m**3/3 + m**2/2 - 60. Let a(r) be the third derivative of o(r). Factor a(u).
-(u - 1)*(u + 11)/5
Let f(x) be the second derivative of -3*x**5/110 + 5*x**4/22 + 6*x**3/11 + 1926*x. Factor f(i).
-6*i*(i - 6)*(i + 1)/11
Let n(i) be the third derivative of -i**5/90 - i**4/3 + 12*i**3 + 8*i**2 - 13. Factor n(a).
-2*(a - 6)*(a + 18)/3
Let y(v) be the third derivative of 1/120*v**6 + 0 - 111*v + 1/1008*v**8 + 1/45*v**5 + 0*v**3 - 1/18*v**4 - 2/315*v**7 + 2*v**2. Let y(n) = 0. Calculate n.
-1, 0, 1, 2
Let v(k) be the first derivative of -3*k**6/40 + 21*k**5/40 - 73*k**4/48 + 7*k**3/3 - 2*k**2 + 63*k + 59. Let l(i) be the first derivative of v(i). Factor l(g).
-(g - 1)**2*(3*g - 4)**2/4
Let 1/3*p**4 - 2060/3*p**3 - 546363500/3*p + 530450*p**2 + 70344300625/3 = 0. What is p?
515
Let d(t) be the second derivative of 1/4*t**5 + 19 + 46305/2*t**2 - t + 105/4*t**4 + 2205/2*t**3. Suppose d(v) = 0. Calculate v.
-21
Suppose 139*h - 4*r = 135*h + 672, 168 = h + 5*r. Let y be h/108*-3 + 6. Find w such that 4/3*w - w**3 - y + 5/3*w**2 = 0.
-1, 2/3, 2
Suppose m - 13*m + 48 = 0. Suppose -14 - 14 + 6*d**m - 2*d**5 + 28 = 0. What is d?
0, 3
Let y(p) be the second derivative of -p**7/84 - 81*p**6/20 - 14639*p**5/40 + 15127*p**4/24 + 1220*p**3 - 3721*p**2 - 498*p. Suppose y(s) = 0. Calculate s.
-122, -1, 1
Find r, given that 27241*r**3 - 13580*r**3 + 3272*r**2 - 13617*r**3 + 19884 + 61420*r + 2020 = 0.
-37, -4/11
Let f be (2/4 - 2)*-2. Suppose 2*k = 2*r + 16, -5*k + 7*r - 3*r = -40. Determine m, given that 2*m**4 + 0*m + k*m**2 + 6*m + 10*m**f + 3*m**2 + 3*m**2 = 0.
-3, -1, 0
Let u(k) be the second derivative of 1/6*k**3 + 0*k**2 + 1/60*k**6 + 5/24*k**4 + 1 + 47*k + 1/10*k**5. Factor u(r).
r*(r + 1)**2*(r + 2)/2
Let i(w) be the third derivative of -25/2*w**4 + 1250*w**3 + 0 + 1/20*w**5 + 4*w**2 + 2*w. Solve i(c) = 0.
50
Let n(y) = 2*y**2 - y - 1. Let s(f) = -6*f**2 - 4*f + 4. Let o(z) = -z**2 - 2*z + 64. Let c be o(-9). Let x(i) = c*s(i) + 4*n(i). Suppose x(b) = 0. Calculate b.
0, 4
Let n(r) be the second derivative of -r**4/3 + 1084*r**3/3 - 146882*r**2 - 41*r - 2. Find b, given that n(b) = 0.
271
Let q(k) = -k**3 - 2*k**2 - 2. Let u(a) = -863*a**3 + 899*a**2 + 1740*a + 8. Let n(p) = -10*q(p) - u(p). Factor n(o).
3*(o - 2)*(o + 1)*(291*o - 2)
Let o(r) be the first derivative of -3*r**2 - 255 - 4*r - 7/2*r**4 + 8*r**3. Find x such that o(x) = 0.
-2/7, 1
Let j be (-16 - (-7 + -7)) + (-7156)/18. Let a = 400 + j. Factor 2/9*l - a + 2/9*l**2.
2*(l - 1)*(l + 2)/9
Factor z**3 - 52*z**2 - 143992 + 143942 + 129*z - 28*z.
(z - 50)*(z - 1)**2
Let j(w) be the third derivative of -1/588*w**8 - 4/21*w**5 - 3/35*w**6 + 0 - 4/21*w**4 + 0*w**3 + 0*w + 152*w**2 - 2/105*w**7. Factor j(i).
-4*i*(i + 1)*(i + 2)**3/7
Suppose 0 = -9*j - 25 + 97. Factor -33*r**4 - 2*r - 6*r + 22*r**4 + 13*r**4 - 2*r**2 + j*r**3.
2*r*(r - 1)*(r + 1)*(r + 4)
Let v(s) be the second derivative of -s**9/30240 + s**8/2688 - 121*s**4/12 - 17*s. Let d(f) be the third derivative of v(f). Factor d(t).
-t**3*(t - 5)/2
Let 621/4*d**3 + 3/4*d**4 - 621/4*d + 1227/4*d**2 - 615/2 = 0. What is d?
-205, -2, -1, 1
Let f(u) be the second derivative of 5*u**7/42 + 4*u**6/3 + 23*u**5/4 + 35*u**4/3 + 10*u**3 - 1651*u. Determine w so that f(w) = 0.
-3, -2, -1, 0
Let b(f) be the second derivative of f**6/30 - 21*f**5/20 + 13*f**4/4 - 19*f**3/6 - 910*f - 2. Let b(q) = 0. Calculate q.
0, 1, 19
Suppose 3*k + 3 = -3*z, -2*k - 17 = -3*z - 0*k. Suppose -45 = -5*h - 5*v, 26 = 2*h + z*v + v. What is o in -12*o**4 + o**h + 11*o**4 - o**5 - o**5 = 0?
-1, 0
Let f(o) = o**3 - 18*o**2 + 33*o - 6. Let k be f(16). Suppose -16 = -2*q - k. Let -2*m**5 + q*m + 6*m**4 + 2*m**5 + 14*m**2 - 20*m**2 - 3*m**5 = 0. Calculate m.
-1, 0, 1
Let 2/5*y**2 + 232/15 + 352/15*y = 0. Calculate y.
-58, -2/3
Let j(z) = -42*z**2 + 1820*z - 414030. Let t(n) = 116*n**2 - 5460*n + 1242095. Let o(c) = -11*j(c) - 4*t(c). Factor o(s).
-2*(s - 455)**2
Let i be (-47)/(-9) - (-2)/(-9). Let w be i*1/((-15)/(-18)). Factor -8*p + 6*p**3 + 0 - w*p**2 - 3 + 9*p**4 + 3*p**5 + 4*p - 5*p.
3*(p - 1)*(p + 1)**4
Let g(z) = -252*z**2 + 13*z + 14. Let i be g(7). Let n be (-4770)/i - ((-4)/22 - 0). Factor -6/7 + 2/7*r**2 - n*r.
2*(r - 3)*(r + 1)/7
Let f(c) = -2*c + 13. Suppose 0 = 35*g - 32*g - 12. Let u be f(g). Factor -1/4*n**u + 0 + 1/2*n**3 - 1/4*n + 0*n**2 + 0*n**4.
-n*(n - 1)**2*(n + 1)**2/4
Suppose 15*o + 288 = 19*o. Let l = o + -43. Factor -5 + 34*d**3 + 2*d - l*d**3 + 5*d**2 - 7*d.
5*(d - 1)*(d + 1)**2
Suppose o + 14 = 4*l - 11, -4*o = -4*l + 40. Suppose 5*a - 20 = z + 4, -2*a + l*z + 28 = 0. Factor -6 + 15 + 7 + 5*k**2 + a - 20*k.
5*(k - 2)**2
Let g(q) = 16*q**2 + 255*q - 13. Let t be (171/36)/19 - 65/4. Let k be g(t). Find j, given that 1/8*j**k + 3*j + 2 + 9/8*j**2 = 0.
-4, -1
Suppose 0 = -5*h + 25. Let b = 87 - 72. Determine r so that 0*r - b*r - 5*r + h*r**2 + 20 = 0.
2
Let b = -194/23 - 620/161. Let d = -281/28 - b. Suppose 3/4*k**5 + 3/4*k**2 + 9/4*k**3 + d*k**4 + 0*k + 0 = 0. Calculate k.
-1, 0
Let p(k) = 23*k**2 - 530*k + 30000. Let b(a) = 21*a**2 - 537*a + 30000. Let q(i) = 10*b(i) - 9*p(i). Determine w so that q(w) = 0.
100
Let d be ((-4)/(-10))/((-2678)/(-130) - (17 - -3)). What is l in -46/9*l**3 - 8/9*l**5 + 0 + 10/9*l**2 + 38/9*l**4 + d*l = 0?
-1/4, 0, 1, 3
Let z(v) = 4096 + v - 4096. Let w(x) = 9*x**2 - 242*x + 78. Let n(m) = w(m) + 5*z(m). Factor n(f).
3*(f - 26)*(3*f - 1)
Let q(h) be the second derivative of 1/15*h**3 - 1/60*h**4 + 0 + 68*h + 0*h**2. Factor q(a).
-a*(a - 2)/5
Let s be 4 + (-132692)/(-14014) + 12/(-22). Let x be (-2)/(-6) + (-40)/(-24). Factor 488/13*k**x - 448/13*k + 128/13 - s*k**3 + 18/13*k**4.
2*(k - 4)**2*(3*k - 2)**2/13
Let k(y) be the third derivative of -y**5/180 - 13*y**4/24 + 7*y**3 - 5*y**2 - y - 414. Factor k(z).
-(z - 3)*(z + 42)/3
Find m, given that -43*m**5 - 28*m**3 + m**4 + 156*m**5 + 288*m**2 - 117*m**5 + 576*m - 33*m**4 = 0.
-4, -3, 0, 3
Let p(z) = -29*z**2 - 31320*z + 27248096. Let d(y) = 3*y**2 + 3480*y - 3027568. Let b(o) = -19*d(o) - 2*p(o). Factor b(m).
(m - 1740)**2
Let v(w) = 4*w**2 - 9*w + 1. Let j = -87 - -91. Let h(r) = r**2 - 3*r. Let q(s) = j*v(s) - 14*h(s). Factor q(n).
2*(n + 1)*(n + 2)
Le