 + 2)*(v + 3)/2
Let w = 4049/80 - 61/16. Let h(v) be the first derivative of -12*v - 4 - w*v**2 + 147/25*v**5 - 353/5*v**3 - 126/5*v**4. Let h(o) = 0. Calculate o.
-1, -2/7, 5
Let p = 440 - 438. Determine o, given that 56*o - 199*o**2 - 215*o**p + 20393 - 20385 = 0.
-2/23, 2/9
Suppose -2*s - 52 = -5*b, 5*s + 16 = -b + 4*b. Find p, given that 5*p**4 - 27*p**3 - 9*p**4 + 4*p**5 + 7*p**3 - b*p**2 = 0.
-1, 0, 3
Let g = 6383/55030 + -88/5503. Factor 4/5*d**2 - 1/2*d - 7/5 - g*d**3.
-(d - 7)*(d - 2)*(d + 1)/10
Suppose -5*g = -8016 - 11184. Suppose 2*h = 38 + 44. Factor -41*r**4 - h*r**4 - 3072 - 3*r**5 - 480*r**3 - 1920*r**2 + 22*r**4 - g*r.
-3*(r + 4)**5
Let x = -2115 - -2063. Let a be (-472)/x + -4 + 12/(-156). Find g, given that 2*g**a + 104/9*g**2 + 8/3*g + 0 + 158/9*g**3 + 32/3*g**4 = 0.
-3, -1, -2/3, 0
Suppose -7*w - 3*j - 12 = -10*w, -j - 12 = -5*w. Factor -2*y**3 + 104*y**2 - 23 - 41 - 112*y**w + 56*y.
-2*(y - 2)**2*(y + 8)
Let s(a) be the second derivative of a**5/12 - 23*a**4/24 - 5*a**3/3 + 7*a**2/2 - 2*a + 3. Let h(m) be the first derivative of s(m). Factor h(z).
(z - 5)*(5*z + 2)
Let m(v) be the first derivative of 2*v**3/33 - 69*v**2/11 + 136*v/11 + 187. Solve m(i) = 0 for i.
1, 68
Let q = 158335 + -1108321/7. Find s, given that -4/7*s**2 - q*s + 4 = 0.
-7, 1
Determine m so that 24*m**2 - 18850192*m**3 - 3*m**5 - 50*m - 35*m**4 - 83*m**2 - 86*m**2 + 18850065*m**3 = 0.
-5, -1, -2/3, 0
Let y(u) = 3*u - 1. Let h be y(1). Suppose 24*i - 101 = -29. Find f, given that h*f**3 - 5*f**3 - 2*f**i - 2*f**2 + 4*f**3 = 0.
-2, 0
Let z(n) be the third derivative of n**8/336 + 823*n**7/105 + 904201*n**6/120 + 8318503*n**5/3 + 41254262*n**4/3 + 82283296*n**3/3 - 2104*n**2. Factor z(j).
(j + 1)**2*(j + 548)**3
Let r(s) be the second derivative of -s**6/255 + 4*s**5/85 - s**4/102 - 26*s**3/17 + 72*s**2/17 - 3*s + 195. Determine j so that r(j) = 0.
-3, 1, 4, 6
Determine h so that -154*h**2 + 224*h - 181*h**2 - 49*h**2 - 10758*h**4 + 200*h**3 + 10724*h**4 + 32 = 0.
-2/17, 2
Let w = 92223 + -92220. Determine k so that -140/3*k**2 + 0 + 44/3*k**w + 100/3*k - 4/3*k**4 = 0.
0, 1, 5
Let g(y) be the third derivative of y**5/15 + 7*y**4/2 + 76*y**3/3 - 306*y**2. Factor g(l).
4*(l + 2)*(l + 19)
Let s(q) be the first derivative of -q**4/18 + 88*q**3/27 + 64*q**2/3 - 2547. Let s(m) = 0. Calculate m.
-4, 0, 48
Let o(p) be the second derivative of p**4/150 - 1868*p**3/75 - 1733*p. Factor o(f).
2*f*(f - 1868)/25
Factor 489*f**3 - 8*f**2 - 15*f**2 - 390*f**3 - 63*f**4 + 6*f**4 + 9*f**5 - 4*f**2.
3*f**2*(f - 3)**2*(3*f - 1)
Suppose 0 = -4*s - 3*m + 45, -16*s + 18*s + 4*m - 20 = 0. Suppose -s = -4*f, -23*f + 22*f = -3*r + 3. Factor -10/11*n + 4/11 - 14/11*n**r.
-2*(n + 1)*(7*n - 2)/11
Let z = 345956 - 1037833/3. Factor 0 - z*q**3 + 25*q**2 - 15*q + 5/3*q**4.
5*q*(q - 3)**2*(q - 1)/3
Let f(l) be the first derivative of l**3/6 + 21*l**2/2 + 160*l + 1154. Factor f(z).
(z + 10)*(z + 32)/2
Let m(v) be the third derivative of v**8/112 - v**7/2 + 6*v**6 - 34*v**5 + 110*v**4 - 216*v**3 - v**2 - 16*v + 108. Let m(j) = 0. Calculate j.
2, 27
Let w(x) be the third derivative of 1/105*x**7 + 1/5*x**6 - 22/15*x**5 + 0 + 1600/3*x**3 - 40*x**4 + 0*x - 59*x**2. Factor w(f).
2*(f - 4)**2*(f + 10)**2
Suppose 0 = -5*l - 1433 + 1313. Let a be (-4)/l*6*(-6)/(-24). Factor -1/2 + 1/4*o**2 - a*o.
(o - 2)*(o + 1)/4
Let c(n) be the second derivative of -1 + 35/6*n**3 + 25*n**2 - 1/120*n**6 - 13/8*n**4 - 19/80*n**5 + 55*n. Factor c(s).
-(s - 2)*(s + 1)*(s + 10)**2/4
Factor -m**4 + 1104*m - 4463*m**2 - 98*m**3 - 178*m**3 - 9173*m**2 + 13045 - 5404*m**2 + 63131.
-(m - 2)*(m + 2)*(m + 138)**2
Solve -11/5*p - 1/5*p**2 - 24/5 = 0.
-8, -3
Let q(h) be the third derivative of -h**5/450 - h**4/18 + 11*h**3/45 - 14*h**2 + 5. Factor q(s).
-2*(s - 1)*(s + 11)/15
Factor 3619*v**4 + 97*v**3 + 40*v**2 - 19*v**3 + 36*v**3 - 3599*v**4 - 6*v**3.
4*v**2*(v + 5)*(5*v + 2)
Let h(c) be the second derivative of c**6/10 + 57*c**5/10 + 58*c**4 + 237*c**3 + 837*c**2/2 + 7884*c. Solve h(j) = 0.
-31, -3, -1
Let k(s) = 11*s**2 - 19*s + 20. Suppose -16*h - 169 = -3*h. Let n(f) = 23*f**2 - 37*f + 40. Let w(q) = h*k(q) + 6*n(q). Factor w(b).
-5*(b - 4)*(b - 1)
Let i(u) be the second derivative of 10*u**7/21 + 29*u**6/6 - 33*u**5/4 - 185*u**4/6 - 40*u**3/3 - 2021*u. Suppose i(b) = 0. Calculate b.
-8, -1, -1/4, 0, 2
Let x = -62 - -102. Let i = x - 33. Find o, given that -5*o**3 - 4*o**4 - i*o**4 + 5*o**5 + 6*o**4 + 5*o**2 = 0.
-1, 0, 1
Let p(c) be the third derivative of -c**5/240 - 27*c**4/8 - 161*c**3/6 + 765*c**2. Determine f, given that p(f) = 0.
-322, -2
Factor 32/9*o - 8/9 + 10/9*o**3 + 38/9*o**2.
2*(o + 2)**2*(5*o - 1)/9
Let -2*l**5 + 5850 - 303*l**3 - 4626 - 83*l**4 + 107*l**4 - 2004*l + 3*l**5 + 1198*l**2 = 0. Calculate l.
-34, 2, 3
Let l(q) = -q**2 + 9*q - 14. Let y be l(7). Suppose -4*x - 6*x = y. Factor 2*m - 4*m**2 + m - 7*m + x*m**2 + 8.
-4*(m - 1)*(m + 2)
Solve -1/2*o**2 - 2 - 3/4*o**3 + 3*o + 1/4*o**4 = 0.
-2, 1, 2
Let p(v) = 2*v**4 - 12*v**3 + 2*v**2 + 10*v. Let n(h) = -20*h**4 + 120*h**3 - 22*h**2 - 99*h. Let k(j) = 4*n(j) + 42*p(j). Factor k(t).
4*t*(t - 6)*(t - 1)*(t + 1)
Let q be ((-1886)/598)/((-2)/(-4)). Let f = -76/13 - q. Let -2/13 - f*g**5 - 6/13*g + 12/13*g**3 + 4/13*g**2 - 2/13*g**4 = 0. Calculate g.
-1, -1/3, 1
Let q(s) = 12*s**2 + 39*s - 14. Let i(c) = 50*c + 48. Let u be i(-1). Let p(j) = -3*j - 1. Let a(g) = u*p(g) + q(g). Suppose a(l) = 0. What is l?
-4, 1/4
Let g(s) = -2*s - 29. Let q be g(-16). Suppose 3*b + 2*n = 2, 2*b - 8*n + 5 = -q*n. Suppose b + 0*j + 2/25*j**4 + 4/25*j**2 - 6/25*j**3 = 0. What is j?
0, 1, 2
Let u be (-1)/2*(-1 - 0). Let h(v) = -353*v - 15882. Let b be h(-45). Factor 1/4*j + 0 + u*j**2 + 1/4*j**b.
j*(j + 1)**2/4
Let c = 179 + -171. Suppose -c*n + 34 = -14. Determine o, given that -18*o**4 + 9/2*o**5 + n*o**3 + 59/3*o**2 + 49/6*o + 1 = 0.
-1/3, 2, 3
Let 0 + 3/2*q + q**2 + 1/2*q**5 - 2*q**3 - q**4 = 0. Calculate q.
-1, 0, 1, 3
Let u be 1*(4 - 1)*1. Let d = 22 + -19. Factor 4*b + 12*b**d - 4*b**4 - 4*b**2 - 7*b**2 - u*b**2 + 2*b**2.
-4*b*(b - 1)**3
Let d(a) be the first derivative of 1/30*a**4 + 136 + 16/5*a**2 - 88/15*a - 2/3*a**3. Let d(u) = 0. What is u?
2, 11
Factor 236*v - 110*v**2 - 67*v - 121*v**3 - 60*v**2 + 124*v**3 + 40*v**2 - 42.
(v - 42)*(v - 1)*(3*v - 1)
Let w(p) be the second derivative of 545/72*p**4 - 41*p - 605/12*p**2 + 2915/36*p**3 + 3 + 5/24*p**5. Let w(v) = 0. Calculate v.
-11, 1/5
Let d(p) = -299*p**2 + 5*p + 19*p - 25 + 300*p**2. Let i be d(-25). Factor i + 2/3*t + 0*t**2 - 2/3*t**3.
-2*t*(t - 1)*(t + 1)/3
Let b be (-72)/252*42/(-4). Determine j, given that -468*j**2 - 520*j - 512*j**2 + 5*j**b + 865*j**2 - 540 = 0.
-2, 27
Let u(s) = 76*s + 461. Let c be u(-6). Suppose -g - 3*n + 15 = 0, c*g - 7 = -308*n + 310*n. Find r such that 0 + 0*r**g + 1/2*r**4 + r - 3/2*r**2 = 0.
-2, 0, 1
Let t = -283 - -853/3. Let s be 0 + 1 + (5 - (-64)/(-12)). Determine r, given that s*r**2 + 14/9*r - t = 0.
-3, 2/3
Let l be (-5 + 324/60)/(2004/(-390)*-1 - 5). Solve -44/9 + l*u - 2/9*u**2 = 0 for u.
2, 11
Let z(k) be the first derivative of -32*k**2 + 94 - 2/3*k**3 - 512*k. Find n such that z(n) = 0.
-16
Let p be (-28)/6*(10 - 13). Determine o so that -38*o**3 - p*o**3 + 5*o**4 + 4*o**5 - 45*o**4 + 51*o**2 + 37*o**2 = 0.
-2, 0, 1, 11
Let p(i) be the first derivative of 110 - 2/45*i**3 - 26/15*i**2 - 338/15*i. Solve p(x) = 0.
-13
Factor -747 - 729 - 12643*k**3 - 966*k + 12645*k**3 - 152*k**2.
2*(k - 82)*(k + 3)**2
Let t(g) be the first derivative of 1/8*g**2 + 0*g - 151 - 1/12*g**3. Factor t(p).
-p*(p - 1)/4
Let q be 132964/56 - 42/28. Let o = q + -2369. Solve 0 + 39/7*b**4 - o*b**3 - 3/7*b**2 - 15/7*b**5 + 6/7*b = 0 for b.
-2/5, 0, 1
Let o be 1*-2 - 56/(-26). Let j be 16/(-26)*(-82 + 10725/132). Suppose j + 4/13*g - o*g**2 = 0. What is g?
-1, 3
Suppose 2*l = -2*z - 20, -5*l - 4347 = -3*z - 4393. Find u such that -6/5 - 22/5*u + 2/5*u**5 - 28/5*u**l + 2/5*u**4 - 12/5*u**3 = 0.
-1, 3
Let 2/5*r**3 + 396/5*r**2 + 26136/5*r + 574992/5 = 0. Calculate r.
-66
Let o be (-1 + 0)/(45/(-225)). Let h(a) be the first derivative of -7/24*a**4 - 1/9*a**3 + 0*a**2 + 34 + 0*a - 1/10*a**o. Factor h(s).
-s**2*(s + 2)*(3*s + 1)/6
Let g = 153053 + -153049. Factor -9/4*t**g + 13/2*t**3 - 27/4*t + 