 1/5*l**p. Factor u(i).
-2*(i - 1)*(i + 1)**2/5
Let j(q) be the second derivative of 5*q**7/42 + 13*q**6/6 - 5*q**5/4 - 2485*q**4/12 - 980*q**3/3 + 13720*q**2 + 587*q. Factor j(p).
5*(p - 4)**2*(p + 7)**3
Let o(z) = -32*z**2 + 823*z - 803. Let q(b) = -105*b**2 + 2475*b - 2410. Let k(d) = 10*o(d) - 3*q(d). Factor k(v).
-5*(v - 160)*(v - 1)
Let c(u) = u**2 + 1. Let q(z) = -6*z**2 + 2*z. Suppose 7*t = 165 + 129. Let d = t - 43. Let s(b) = d*q(b) - 4*c(b). Factor s(h).
2*(h - 2)*(h + 1)
Let m(k) be the second derivative of 3 - k + 1/50*k**5 + 8/15*k**3 + 0*k**2 + 3/10*k**4. Find r, given that m(r) = 0.
-8, -1, 0
Let j = -2462/5 + 494. Suppose 55 = 22*t - 11*t. Suppose 4/5*d**2 - j*d**3 + 6/5*d + 0*d**4 + 2/5*d**t - 4/5 = 0. Calculate d.
-2, -1, 1
Suppose -2*y + 4*k - 4 = 0, -y = 2*y + 3*k - 21. Suppose -17 = 2*r - 9, 0 = y*t + 4*r + 8. Suppose -1/9*a**3 - 1/9 + 1/9*a + 1/9*a**t = 0. Calculate a.
-1, 1
Let v(l) be the first derivative of -5*l**4/12 + 80*l**3/9 + 10*l**2/3 - 320*l/3 + 1791. Solve v(f) = 0.
-2, 2, 16
Let g = 207 - 208. Let b be 5 - g/(-8)*(24 + -16). Find m, given that 2/13*m**2 - 4/13*m + 4/13*m**3 - 2/13*m**b + 0 = 0.
-1, 0, 1, 2
Factor 2*x**5 + 130*x**5 - 1655*x**2 - 79*x**4 - 317*x**4 - 168*x**3 + 1639*x**2 + 110*x**5.
2*x**2*(x - 2)*(11*x + 2)**2
Find d such that 717/2*d - 3/2*d**2 + 360 = 0.
-1, 240
Factor 193*w - 299*w - 3*w**4 + 3*w**3 - 209*w + 123*w**2.
-3*w*(w - 5)*(w - 3)*(w + 7)
Let b = 21820 - 21818. Let y(r) be the first derivative of 39 + 4/3*r**3 + 1/5*r**4 + 12/5*r + 14/5*r**b. Suppose y(i) = 0. Calculate i.
-3, -1
Let r(z) be the second derivative of -z**7/42 - 33*z**6/5 - 49*z**5/5 + 33*z**4/2 + 197*z**3/6 + 8643*z. Suppose r(y) = 0. What is y?
-197, -1, 0, 1
Let h(d) be the third derivative of d**6/600 + 96*d**5/25 + 767*d**4/40 + 115*d**3/3 - 840*d**2. Suppose h(c) = 0. What is c?
-1150, -1
Determine j, given that -6084/7 + 2/7*j**5 + 796/7*j**3 - 3832/7*j**2 + 8034/7*j - 68/7*j**4 = 0.
2, 3, 13
Suppose -187*u + 775 = -347. Determine v, given that 3/2 + u*v**3 - 15/4*v - 9/4*v**2 + 3*v**4 = 0.
-2, -1, 1/2
Factor -13*p - 34*p + 76525*p**3 - 76521*p**3 - 384 - 81*p + 8*p**2.
4*(p - 6)*(p + 4)**2
Let y(n) be the third derivative of -n**7/525 + 53*n**6/300 - 17*n**5/25 + 3235*n**2. Solve y(i) = 0.
0, 2, 51
Let w = 967/5610 - 26/187. Let h(g) be the first derivative of -16 + 1/20*g**4 + 0*g - 1/25*g**5 - w*g**6 + 1/15*g**3 + 0*g**2. Let h(p) = 0. What is p?
-1, 0, 1
Let y(k) be the first derivative of k**4/30 - 61*k**3/15 + 12*k**2 - 30*k + 29. Let h(v) be the first derivative of y(v). Factor h(f).
2*(f - 60)*(f - 1)/5
Suppose -141*z**2 + 232*z - 23*z**2 - 38*z**2 - 4*z**3 - 4*z**4 - 38*z**2 - 76 + 92*z**3 = 0. What is z?
1, 19
Let q be 384/12 + (-2)/((-4)/(-2)). Factor -23*c**2 - 132*c - 3 + 57*c**2 - q*c**2 + 3.
3*c*(c - 44)
Let c(m) = -m**2 - 1514*m - 1517. Let o(q) = 15*q**2 + 21195*q + 21235. Let z(r) = -55*c(r) - 4*o(r). Factor z(b).
-5*(b + 1)*(b + 301)
Let z(w) be the second derivative of -w**7/315 + 107*w**6/225 + w**5/75 - 107*w**4/45 - w**3/45 + 107*w**2/15 - 108*w - 15. Find g such that z(g) = 0.
-1, 1, 107
Let a = 12086 + -12056. Let b(o) be the first derivative of -a - 2*o**2 - 1/3*o**3 - 4*o. Factor b(w).
-(w + 2)**2
Let m(n) = -n**3 - 4*n**2 + 26*n + 106. Let f be m(-4). Let b(v) be the first derivative of 3 + f*v**2 + 8*v + 1/6*v**3. Suppose b(u) = 0. Calculate u.
-4
Let o = 81887/3 + -27579. Let c = o - -284. What is h in 0 + c*h**3 - 4/3*h + 2/3*h**2 = 0?
-2, 0, 1
What is k in 4/3*k**2 + 388/3 + 778/3*k = 0?
-194, -1/2
Suppose 0 - 47*y**2 - 1/2*y**3 - 273/2*y = 0. What is y?
-91, -3, 0
Suppose -m + 69 = 67. Determine o, given that 3*o - 5*o**2 - 8*o**m + 8*o**2 - 78*o = 0.
-15, 0
Solve 1/4*p**5 + 21609/2 + 10803/2*p**3 - 220*p**2 + 147/2*p**4 - 64239/4*p = 0 for p.
-147, -2, 1
Let j = 2802 + -2799. Let w(c) be the second derivative of 0*c**2 + 0 + 5/6*c**j + 5/24*c**4 + 17*c. Solve w(y) = 0.
-2, 0
Let h = 646 - 636. Suppose 0 = -i - 0*y + 3*y + h, i + y - 2 = 0. Find p, given that -i - 2*p - 1/4*p**2 = 0.
-4
Find y, given that -3/2*y**2 - 21/2*y - 18 = 0.
-4, -3
Let s(y) be the second derivative of -y**6/900 + 3*y**5/100 - 2*y**4/15 + 13*y**3/6 - 3*y**2 - 98*y. Let m(l) be the second derivative of s(l). Factor m(u).
-2*(u - 8)*(u - 1)/5
Solve 0 + 262/9*y**2 + 2/9*y**3 + 1016/9*y = 0 for y.
-127, -4, 0
Let a be 30/(-3) + -76 + (60 - -26). Find v, given that 1/4*v + a - 1/4*v**2 = 0.
0, 1
Factor -1/3*u**3 + 68*u - 8/3*u**2 - 240.
-(u - 6)**2*(u + 20)/3
Let z(h) be the third derivative of h**6/60 - 35*h**5/6 - 89*h**4/6 + 352*h**3/3 + 4*h**2 + 573. Solve z(q) = 0.
-2, 1, 176
Let b(s) be the third derivative of -s**5/60 + 35*s**4/24 - 25*s**3 + 2*s**2 + 2086. Determine z, given that b(z) = 0.
5, 30
Let l(c) be the second derivative of -512/5*c**5 - 26 - 32*c**4 - 1/4*c**2 - 4*c**3 - c. Solve l(p) = 0 for p.
-1/16
Factor -103718*d**2 - 5*d**3 - 1964 - 1486 + 103118*d**2 - 4454*d + 1549*d.
-5*(d + 2)*(d + 3)*(d + 115)
Suppose 2*p + 30 = 2*h, 993*p - 4*h = 998*p - 78. Solve 0 - 52/7*u + 8*u**p - 4/7*u**3 = 0.
0, 1, 13
Let l(t) = 5*t**3 + 700*t**2 - 1375*t + 694. Let z(i) = -9*i**3 - 1396*i**2 + 2749*i - 1386. Let w(u) = 21*l(u) + 12*z(u). Factor w(r).
-3*(r - 1)**2*(r + 686)
Let v = -120 + 122. Factor -23*m**2 + 33*m - 19*m**2 + 6*m**v + 3*m**3.
3*m*(m - 11)*(m - 1)
Let b(u) be the second derivative of -u**5/70 - 4*u**4/21 - u**3/3 + 8422*u. Let b(n) = 0. What is n?
-7, -1, 0
Let x = -165 - -313. Determine m, given that x*m - 144*m**2 + 900 - 28*m + 148*m**2 = 0.
-15
Solve 78*n**2 + 2/3*n**4 - 350/3*n - 14*n**3 + 52 = 0 for n.
1, 6, 13
Let q be (2 + -2)/(-69 - -70). Let n(t) be the first derivative of 0*t**3 + 2/27*t**6 + 1/18*t**4 - 2/15*t**5 - 38 + 0*t**2 + q*t. Suppose n(i) = 0. What is i?
0, 1/2, 1
Let x(v) = 3*v - 19. Let t be x(8). Suppose t*u - 2*j - 17 = 6, 0 = 4*u + 4*j + 4. Determine w, given that 44*w**3 - 24*w**u - 16*w**3 + 4*w**2 = 0.
-1, 0
Let i(z) be the third derivative of 0 - 5/16*z**4 + 0*z - 1/40*z**5 - 80*z**2 - z**3. Factor i(p).
-3*(p + 1)*(p + 4)/2
Factor 23/4*h**3 + 0 + 65/2*h**2 + 0*h + 1/4*h**4.
h**2*(h + 10)*(h + 13)/4
Let c = -211 - -214. Let 8 + 13*h + 2*h**3 + 7*h**2 + 3*h - h**c - 2*h = 0. What is h?
-4, -2, -1
Let n(p) be the first derivative of -p**3/5 + 183*p**2/10 + 2515. Factor n(r).
-3*r*(r - 61)/5
Let n(f) be the third derivative of -2/105*f**7 - 1/15*f**6 + 0*f**4 - 1/15*f**5 + 0*f + 0*f**3 + 3 - 17*f**2. Find g, given that n(g) = 0.
-1, 0
Factor 8750*x**2 + 4 - 142*x - 8752*x**2 - 280.
-2*(x + 2)*(x + 69)
Let j(z) be the first derivative of -z**3/3 - 26*z**2 - 1646. Factor j(a).
-a*(a + 52)
Let l(f) be the first derivative of 39*f**4/7 + 22*f**3/3 - f**2/7 - 290. Suppose l(x) = 0. What is x?
-1, 0, 1/78
Let r(x) be the second derivative of -x**5/5 - 17*x**4/3 - 104*x**3/3 - 92*x. Factor r(d).
-4*d*(d + 4)*(d + 13)
Let g(q) be the third derivative of -q**8/2016 - 47*q**7/1260 - 7*q**6/15 - 121*q**5/45 - 79*q**4/9 - 52*q**3/3 - 571*q**2. Factor g(y).
-(y + 2)**4*(y + 39)/6
Let f(w) = -w**3 - 84*w**2 - 536*w + 233. Let k be f(-77). Factor 0 - 2/5*i**5 - 36/5*i**3 - k*i + 32/5*i**2 + 16/5*i**4.
-2*i*(i - 5)*(i - 1)**3/5
Let u(z) = 4*z**2 - 587*z + 87028. Let g(r) = 7*r**2 - 1175*r + 174055. Let i(j) = -3*g(j) + 5*u(j). Factor i(y).
-(y - 295)**2
Let x(c) be the first derivative of 256/3*c**3 - 64*c + 100 + 132/5*c**5 + 76*c**4 + 0*c**2 + 10/3*c**6. Factor x(s).
4*(s + 1)*(s + 2)**3*(5*s - 2)
Let k be (-3)/(-21) + (-21 - 4588/(-217)). Suppose -20/7*r**2 + 0 + k*r**4 + 0*r + 6/7*r**3 = 0. What is r?
-5, 0, 2
Let d(w) = -6*w**2 + 156*w - 1170. Let u(l) = -2*l + 1. Let g(k) = -d(k) + 6*u(k). Let x(n) = -2*n**2 + 56*n - 392. Let t(v) = -5*g(v) - 14*x(v). Factor t(i).
-2*(i - 14)**2
Let d(b) be the first derivative of -b**6/600 + 9*b**5/200 - b**4/5 + 51*b**3 - 123. Let h(l) be the third derivative of d(l). Factor h(x).
-3*(x - 8)*(x - 1)/5
Let j(c) be the third derivative of 0*c**4 + 0*c + 18*c**2 - 13/6*c**3 + 1/40*c**5 + 0 + 1/120*c**6. Let w(m) be the first derivative of j(m). Factor w(r).
3*r*(r + 1)
Factor 1/2*h**2 - 213 - 211/2*h.
(h - 213)*(h + 2)/2
Let o(i) be the first derivative of -i**7/280 + 19*i**6/180 - 73*i**5/360 + i**4/6 + 40*i**3 - 7. Let q(f) be the 