**2*(n + 5)
Let r be (5 - (-116)/(-49))/((-6)/(-21)). Let q = 82/7 - r. Let 5 - 5/2*t**2 + q*t = 0. What is t?
-1, 2
Solve -2/7*g**2 - 2 - 16/7*g = 0.
-7, -1
Let u(h) be the third derivative of -13*h**2 + 0*h**3 + 3*h - 1/120*h**6 + 1/336*h**8 + 0*h**4 - 1/210*h**7 + 0 + 1/60*h**5. Let u(r) = 0. What is r?
-1, 0, 1
Let g(u) be the third derivative of u**8/30240 - u**7/2835 + 31*u**4/12 - u**3/3 + 65*u**2. Let z(c) be the second derivative of g(c). Factor z(l).
2*l**2*(l - 4)/9
Let r(b) = -2*b**2 + 9*b + 12. Let t be r(10). Let u = t + 100. Factor 72*i**u - 45*i**2 - 5*i**3 - 47*i**2 - 16*i + 41*i.
-5*i*(i - 1)*(i + 5)
Suppose 1230 = -20*k - 810. Let h be (-7 - 629/k)/(2/(-16)). Factor h - r**2 - 28/3*r.
-(r + 10)*(3*r - 2)/3
Let r(y) = -y**3 - y**2. Let z(f) = 2*f + 4. Let h be z(-5). Let l(g) = -9*g**3 + g - 12*g + 2*g - 16*g + 41*g**2 + 5. Let n(o) = h*r(o) - l(o). Factor n(i).
5*(i - 1)**2*(3*i - 1)
Let p(d) be the first derivative of -d**3/4 - 81*d**2/8 - 39*d/2 - 1051. Let p(u) = 0. What is u?
-26, -1
Let v be -22 + (-3154)/228 + 36. Factor -1/3*x**2 + v*x**3 + 0 - 1/2*x.
x*(x - 3)*(x + 1)/6
Let s(i) be the third derivative of i**5/30 + i**4/24 - i**3/6 - 3*i**2 + 25*i. Let x be s(1). Factor -28*z**3 + 14*z + 33/2*z**x + 2 + 8*z**4.
(z - 2)**2*(4*z + 1)**2/2
Factor -1873*z**4 + 3*z**5 + 1864*z**4 - 95*z + 59*z + 69*z**2 - 27*z**3.
3*z*(z - 4)*(z - 1)**2*(z + 3)
Let v(j) be the first derivative of -j**6/165 + j**5/110 + j**4/66 - j**3/33 - 22*j + 174. Let n(p) be the first derivative of v(p). Factor n(t).
-2*t*(t - 1)**2*(t + 1)/11
Find x such that -654/5 - 1971/5*x**2 - 393*x - 663/5*x**3 - 3/5*x**4 = 0.
-218, -1
Let -2*f**2 + 8/9*f**4 + 0 - 11/9*f**3 + 0*f + 1/9*f**5 = 0. Calculate f.
-9, -1, 0, 2
Suppose 18*y - 156 = 15*y. Suppose -6*q = 7*q - y. Factor 0 - 8/15*j + 2/5*j**3 - 2/15*j**q + 0*j**2.
-2*j*(j - 2)**2*(j + 1)/15
Let v = -21/105814 + 26464/52907. Factor 0 + v*o**2 + 9/2*o.
o*(o + 9)/2
Let s = 20569/6 + -19137/2. Let h = 6342 + s. Factor 110/3*u + h + 5/3*u**2.
5*(u + 11)**2/3
Let o(u) be the first derivative of 5*u**4/4 - 10*u**3/3 - 175*u**2/2 + 2063. Determine y, given that o(y) = 0.
-5, 0, 7
Suppose -96*x = -103*x + 112. Solve -10*m**4 - 26*m**2 + 20*m**3 + 6*m**4 - 6*m**2 + 0*m**4 + x*m = 0 for m.
0, 1, 2
Let d(i) be the first derivative of 82 + 11/20*i**4 + 0*i - 2/5*i**2 - 7/15*i**3. Suppose d(p) = 0. Calculate p.
-4/11, 0, 1
Let y(p) = -12*p**2 + 171*p + 780. Let w(m) = 3*m**2 - 10*m. Let l(f) = 3*w(f) + y(f). Suppose l(t) = 0. Calculate t.
-5, 52
Let c = 12 + -9. Suppose c*q - 4*q = 2*x - 182, 5*x - 5*q = 455. Determine i so that x + 6*i**2 + 3*i**4 + 9*i**3 - 91 = 0.
-2, -1, 0
Let w(x) be the third derivative of x**5/12 + 235*x**4/12 + 5*x**2 + 350*x. What is m in w(m) = 0?
-94, 0
Let k(i) be the first derivative of -i**4/12 + 5*i**3/9 + 13*i**2/6 + 7*i/3 + 3363. What is h in k(h) = 0?
-1, 7
Let v be (2/(-6) - (-92)/184)/(2/40). Factor 0 + 2/3*u**4 - v*u**3 + 0*u + 4*u**2.
2*u**2*(u - 3)*(u - 2)/3
Let w(d) be the second derivative of -d**5/90 - d**4/9 + 37*d**3/27 - 10*d**2/3 + 84*d + 3. Factor w(p).
-2*(p - 3)*(p - 1)*(p + 10)/9
Let a(y) be the first derivative of -y**5/15 + 2*y**4/3 + 10*y**3/3 + y**2 + 5*y - 10. Let q(v) be the second derivative of a(v). Determine l so that q(l) = 0.
-1, 5
Let l be (-5 - 105/(-20))*(-5 - (-42)/(-7) - -13). Let r = -5/4 + 7/4. Factor -l*k - r + 1/2*k**3 + 1/2*k**2.
(k - 1)*(k + 1)**2/2
Let t be (6/378)/(84/(-48)*14/(-441)). Factor -t*x**2 + 64/7 + 4*x.
-2*(x - 16)*(x + 2)/7
Let y(k) = 2*k - 10. Let i be y(6). Suppose -l = i + 2, 3*h + l = 2. Factor -3*z + 3*z + 7*z**2 + 2*z - 6*z**h.
z*(z + 2)
Let r = -4136/9 - -1025/9. Let f = -345 - r. Factor 4/3*u**2 + 5/3*u + 1/3*u**3 + f.
(u + 1)**2*(u + 2)/3
Solve -108 + 493*d - 14*d**4 + 66*d**3 - 39*d**2 + 51*d**4 - 673*d + 2*d**4 + 6*d**5 = 0 for d.
-3, -2, -1, 3/2
Let i(d) = 10*d**3 + 24*d**2 + 26*d + 6. Let v(a) = -a**3 + a - 1. Suppose 4 = 4*l - 0. Let c(s) = l*i(s) + 6*v(s). Factor c(j).
4*j*(j + 2)*(j + 4)
Factor 198*t - 9791052*t**3 - 248*t**2 + 54*t + 9791048*t**3.
-4*t*(t - 1)*(t + 63)
Suppose 20 = 4*u, -y - u - 3*u + 106 = 0. Let w be 48/22 + (y/11 - 8). Let -2/3*l + 8/9 - 2/9*l**w = 0. Calculate l.
-4, 1
Let u(g) be the second derivative of -g**5/70 - 24*g**4/7 - 284*g**3/21 + 7*g - 65. Factor u(z).
-2*z*(z + 2)*(z + 142)/7
Find w, given that 461*w - 49*w**2 - 39*w**2 - 56*w - 60*w + 93*w**2 = 0.
-69, 0
Let g(v) be the third derivative of v**7/525 - 763*v**6/300 + 48641*v**5/50 - 48387*v**4/20 + 5*v**2 - 605. Factor g(m).
2*m*(m - 381)**2*(m - 1)/5
Suppose -4*a - 118 = 3*t, -2*t + t = -5*a - 138. Let i = a - -35. Factor 10 + 0*m**2 + 2*m**2 - i*m**2 - 5*m.
-5*(m - 1)*(m + 2)
Suppose 32*d + 6 = 29*d. Let z be (-156)/224*d + (-60)/48. Suppose 5/7*k**2 - 3/7*k + 3/7*k**3 - z*k**4 - 4/7 = 0. Calculate k.
-1, 1, 4
Suppose 48*g + 19 = 2*y + 45*g, 0 = -5*g - 15. Let z(h) be the first derivative of 5/3*h**3 - 15 - y*h**2 + 0*h + 5/4*h**4. Solve z(i) = 0 for i.
-2, 0, 1
Let z(k) be the first derivative of 2*k**3/3 + 16*k**2 - 34*k + 1472. Factor z(i).
2*(i - 1)*(i + 17)
Suppose 3 = -5*m - 5*i - 7, i = -2. Let j be -1 + (3 - (1 + m) - -3). Factor 48*b**3 + 25*b**4 + 25*b**2 + 5*b - 13*b**3 - 10*b**j.
5*b*(b + 1)**2*(3*b + 1)
Determine g, given that -6*g**2 + 41/7*g**3 + 2/7*g**4 + 0*g - 1/7*g**5 + 0 = 0.
-6, 0, 1, 7
Let s(i) be the first derivative of 79 + 0*i + 1/16*i**4 - 3/2*i**2 - 11/12*i**3. Solve s(d) = 0.
-1, 0, 12
Suppose 0*y - 7*y + 77 = 0. Factor -12*s**2 + 6*s + y*s**2 - 2 - 6 + 3.
-(s - 5)*(s - 1)
Let g(i) be the first derivative of -16*i**3 + 0*i + 6*i**4 + 32 + 16*i**2 - 4/5*i**5. Solve g(w) = 0.
0, 2
Let n = -22453 - -22458. Let o(s) be the third derivative of 0*s + 0 + 0*s**3 + 22*s**2 + 1/15*s**n + 0*s**4 - 1/30*s**6. Let o(h) = 0. What is h?
0, 1
Let z(y) = -48*y**4 - 541*y**3 - 1557*y**2 + 183*y. Let a(q) = -95*q**4 - 1080*q**3 - 3115*q**2 + 365*q. Let n(k) = 3*a(k) - 5*z(k). What is c in n(c) = 0?
-6, 0, 1/9
Let a(q) be the first derivative of q**5/5 - 51*q**4/4 + 2977*q**3/12 - 2397*q**2/2 + 2209*q + 6235. Solve a(h) = 0.
2, 47/2
Let l = 2120 + -10396/5. Let r = l + -1418/35. Factor 6/7*h**2 - r*h**3 - 6/7*h + 2/7.
-2*(h - 1)**3/7
Let b(n) be the third derivative of n**7/1155 + 13*n**6/660 - 7*n**5/22 + 57*n**4/44 + 1445*n**2. Factor b(z).
2*z*(z - 3)**2*(z + 19)/11
Let g(y) = -y**3 - 1104*y**2 + 4468*y - 4456. Let v(u) = 5*u**3 + 4415*u**2 - 17870*u + 17830. Let n(b) = -15*g(b) - 4*v(b). Factor n(k).
-5*(k - 2)**2*(k + 224)
Let d(k) = -k**2 - 10*k - 20. Let m be (675/(-10))/15*(-8)/(-6). Let b be d(m). Factor 7 + 0 + 2*a**b - 3 - 2*a - 3*a**2 + 2*a**3 - 3*a**2.
2*(a - 1)**2*(a + 1)*(a + 2)
Suppose -b + 1 = -16*c + 12*c, 4*b - 2*c = -10. Let g be b - 74*1/(-14). Let -g*t + 30/7*t**2 + 2/7 = 0. What is t?
1/5, 1/3
Let v(l) be the second derivative of l**5/4 - 485*l**4/6 - 980*l**3/3 - 2456*l. Factor v(a).
5*a*(a - 196)*(a + 2)
Let a(m) = -11*m**3 - 12*m**2 + 9*m - 7. Let c(f) = 16*f**3 + 18*f**2 - 14*f + 10. Let k(d) = 10*a(d) + 7*c(d). Factor k(i).
2*i*(i - 1)*(i + 4)
Suppose 33*h = 36*h. Let s be h/(-3) + 1 + -1 + 2. Factor -4*l**3 - 17*l**s + 17*l**2 + 8 + 8*l + 4*l.
-4*(l - 2)*(l + 1)**2
Let c(q) be the third derivative of -q**8/84 + q**7/21 - q**6/30 - 2*q**5/15 + q**4/3 - q**3/3 - 1702*q**2. Solve c(l) = 0.
-1, 1/2, 1
Let j(v) be the third derivative of 0*v - 11/3*v**3 + 1/12*v**4 - 1/60*v**6 + 0 - 177*v**2 + 11/30*v**5. Factor j(h).
-2*(h - 11)*(h - 1)*(h + 1)
Suppose -h = -5*x - 420, -4*x + 3*h + 93 = 440. Let y be 0/(-2)*(82 + x). Find l, given that 2/3*l**2 + 2*l + y = 0.
-3, 0
Let v be (-1078)/(-42)*126/147. Let j(i) be the first derivative of 0*i**2 - 2*i + 2/3*i**3 - v. Factor j(w).
2*(w - 1)*(w + 1)
Let g(m) = -m**4 + m**3 + m - 1. Let d be -1*-20*(-5)/(-5). Let a(x) = 5*x**4 + 7*x**3 + 27*x**2 + 21*x + 12. Let b(l) = d*g(l) + 5*a(l). Factor b(s).
5*(s + 1)**3*(s + 8)
Let k(x) be the second derivative of 2/35*x**5 + 13/28*x**4 + 125*x + 17/42*x**3 + 1/7*x**2 + 0 - 8/105*x**6. Let k(c) = 0. What is c?
-1, -1/4, 2
Let h(y) = y**4 - 11*y**3 - y**2. Let p(m) = -2*m**4 + 50*m**3 - 38*m**2 - 24*m. Let i(u) = -6*h(u) - p(u). Suppose i(r) = 0. Calculate r.
-1, 0, 6
Let l be (-1)/(18/15)*(-42)/350. Let z(a) be 