h**q + 2 - 3/2*h = 0. What is h?
-4, 1
Suppose -13*w = -17*w + 16. Suppose -8 = -4*x, 7*x + 12 = w*t + 3*x. Factor -15*r**3 + r + 30*r**4 + 0*r**t + 20*r**2 + 19*r + 5*r**5 - 40*r**4.
5*r*(r - 2)**2*(r + 1)**2
Let c(h) be the first derivative of 27/4*h**4 + 0*h - 8*h**3 + 50 - 3/5*h**5 + 0*h**2. Suppose c(x) = 0. Calculate x.
0, 1, 8
Let h(t) be the second derivative of -1/21*t**4 - 4/21*t**3 + 64*t - 2/7*t**2 + 0. Let h(o) = 0. Calculate o.
-1
Suppose 314*o = 315*o - 3. Let k(a) be the first derivative of -8*a**o - 6*a + 21/2*a**2 + 9/4*a**4 + 10. Factor k(n).
3*(n - 1)**2*(3*n - 2)
Let i(t) be the first derivative of 1/24*t**3 - 2*t**2 + 157 + 0*t. Factor i(c).
c*(c - 32)/8
Factor 2320 - 938*h + 484/5*h**2 - 2/5*h**3.
-2*(h - 232)*(h - 5)**2/5
Suppose -5*x + 4*m + 580 = 151, x + 4*m = 105. Factor 30*i + 88 - x*i + 5*i**2 + 23*i - 3*i**2 - 6*i**2.
-4*(i - 2)*(i + 11)
Let l = 30181 + -30178. Let s(b) be the third derivative of 0*b**4 + 3*b**2 + 0*b**l + 0 - 2/15*b**5 - 1/105*b**7 + b + 1/15*b**6. Suppose s(c) = 0. What is c?
0, 2
Let h(r) be the second derivative of r**6/30 + 63*r**5/20 + 61*r**4/12 - 21*r**3/2 - 31*r**2 - 965*r - 3. Factor h(m).
(m - 1)*(m + 1)**2*(m + 62)
Let k be (-4)/30 + ((-1388)/(-60) - 4). Factor -4*g**2 - 35*g - k + g**2 - 11 - 2*g**2.
-5*(g + 1)*(g + 6)
Let w(o) be the third derivative of -o**5/100 + 1251*o**4/20 - 1565001*o**3/10 - 22*o**2 - 2*o - 2. Solve w(v) = 0 for v.
1251
Suppose 4607*r - 4604*r + 53 = -2*u, -2*u - r = 15. Factor 152/5 + 2*x**u + 384/5*x.
2*(x + 38)*(5*x + 2)/5
Let s = -17479/8 + 192285/88. Determine p, given that -6/11 - 4/11*p + s*p**2 = 0.
-1, 3
Let k = -3229 - -3241. Let v(g) be the third derivative of -1/60*g**5 - 8/3*g**3 + 1/3*g**4 + k*g**2 + 0*g + 0. Find r such that v(r) = 0.
4
Suppose 11*v - 3*v = 160. Suppose -2*t = -7*t + v. Factor -2*n**3 - 10*n**2 - 5*n**5 + 15*n**2 + 7*n**3 - 5*n**t.
-5*n**2*(n - 1)*(n + 1)**2
Let u = -159 + 2545/16. Let i(b) be the first derivative of u*b**4 + 5/12*b**3 - 13/8*b**2 + 7/4*b + 25. Factor i(v).
(v - 1)**2*(v + 7)/4
Let m = 112413 + -112408. Factor 1/3*a**m + 4/3*a**4 + 2/3*a**2 + 5/3*a**3 + 0 + 0*a.
a**2*(a + 1)**2*(a + 2)/3
Let x(w) = -5*w**2 + 48*w - 22. Let a be x(9). Suppose -52 = 4*h - l - 62, a*h + 2*l - 19 = 0. Suppose -8 - 6*t + 0*t**2 + 1/2*t**h = 0. Calculate t.
-2, 4
Let p be (1 + -2)/((-1)/63). Factor p - 296*s + 97*s - 3*s**2 + 139*s.
-3*(s - 1)*(s + 21)
Factor 20*k**2 + 6575*k**3 + 96*k**2 - 6600*k**3 + 0 + 0 - k**4.
-k**2*(k - 4)*(k + 29)
Let i be 59/1180 - (-146366)/880. Find l, given that -1/8*l**4 - i + 847/4*l + 17/4*l**3 - 99/2*l**2 = 0.
1, 11
Factor 207*j - 1404 - 533 - 1633 - 31*j**2 + 10*j**2 + 18*j**2.
-3*(j - 35)*(j - 34)
Let w(y) be the first derivative of y**6/12 - 3*y**5/5 - 3*y**4/2 + 35*y**3/3 + 75*y**2/4 - 1585. Determine r, given that w(r) = 0.
-3, -1, 0, 5
Let s(m) be the second derivative of -13*m**6/10 + 6*m**5/5 + 7*m**4/16 - 5*m**3/8 - 15*m + 140. Determine h so that s(h) = 0.
-5/13, 0, 1/2
Let l(g) be the first derivative of g**3/9 + 2357*g**2/6 - 786*g + 3844. Suppose l(b) = 0. What is b?
-2358, 1
Let k(y) = y**3 - 2*y**2 - 4*y - 6. Let j be k(4). Suppose -i = 5*b - 29, -15 - j = -b - 5*i. Factor -5 - 20 + b + 5*t**2.
5*(t - 2)*(t + 2)
Factor -34810*l**2 - 317*l**3 - 144950*l**2 - 352800*l - 4*l**4 - 1371*l**3.
-4*l*(l + 2)*(l + 210)**2
Let f(n) = -49*n + 69. Let k be f(-3). Solve -v**3 - 2*v**2 - 5*v**2 - 336 - 38*v**2 + k*v + 4*v**3 + 0*v**3 = 0 for v.
4, 7
Let d = 189 - 186. Factor 3*h**d - 691*h**2 + 706*h**2 + 2*h**3 - 20*h.
5*h*(h - 1)*(h + 4)
Let j(o) be the second derivative of o**4/4 + 22*o**3 - 810*o**2 - 39*o - 48. Factor j(n).
3*(n - 10)*(n + 54)
Let f(m) be the third derivative of -m**8/1344 - m**7/35 - 3*m**6/32 - 11*m**5/120 + 1463*m**2. Solve f(u) = 0.
-22, -1, 0
Let g(y) = 10*y**2 + 1936*y - 8793. Let h(z) = 5*z**2 + 952*z - 4396. Let d(n) = 4*g(n) - 7*h(n). Factor d(o).
5*(o - 4)*(o + 220)
Let z(j) be the first derivative of -1/25*j**5 - 107 + 4*j**2 + 80*j - 133/5*j**3 - 2*j**4. Solve z(q) = 0.
-20, -1, 1
Let -1/5*q**2 + 378/5 + 57/5*q = 0. Calculate q.
-6, 63
Let o = -262045 - -262045. Suppose o - 7/2*p - 1/2*p**2 = 0. What is p?
-7, 0
Factor -140*z**4 - 588*z**3 - 4*z**5 + 33*z - 33*z + 13587*z**2 - 1239*z**2.
-4*z**2*(z - 7)*(z + 21)**2
Let j = -539 + 543. Suppose -18*u**2 + 10*u**2 - u**j + 12*u - u**4 + 8*u**3 + 30*u**2 = 0. Calculate u.
-1, 0, 6
Let j(v) = 146*v**4 - 1633*v**3 + 4020*v**2 + 59*v + 8. Let g(l) = -582*l**4 + 6534*l**3 - 16080*l**2 - 234*l - 33. Let t(n) = 8*g(n) + 33*j(n). Factor t(r).
3*r*(r - 5)**2*(54*r + 1)
Let h be (-20)/(-24) + 4*410/(-2400). Let w(a) be the third derivative of 3/2*a**3 - 1/40*a**6 + 0 - h*a**5 - 2*a**2 + 0*a + 1/8*a**4. Factor w(i).
-3*(i - 1)*(i + 1)*(i + 3)
Suppose 5*j + 3 = 2*b + 63, 3*j + 5*b - 5 = 0. Suppose -5*t - 7*t**2 - 25*t + j*t**2 = 0. What is t?
0, 10
Let m = 28015 + -224117/8. Factor -3/4 + m*p**3 - 9/8*p + 0*p**2.
3*(p - 2)*(p + 1)**2/8
Determine v, given that -148*v**2 + 250 + 173*v**2 - 30*v**2 + 25*v = 0.
-5, 10
Let l = -4513757/793 - -5692. Let f = l + 20627/7137. Factor -8 - f*n**2 + 2/9*n**3 + 32/3*n.
2*(n - 6)**2*(n - 1)/9
Let h(w) = 2*w**4 + w**3 - w**2 + w + 2. Let b(i) = 22*i**4 + 26*i**3 - 12*i**2 - 6*i + 20. Let k(q) = -2*b(q) + 20*h(q). Determine a so that k(a) = 0.
-8, -1, 0, 1
Solve -4*s**3 - 12*s + 32*s + 2*s**3 - 596*s**2 + 614*s**2 = 0.
-1, 0, 10
Let i = -3/36472 - 46410617/36472. Let s = i - -1274. Factor s*y**3 - 3/2*y - 3/2 + 3/2*y**2.
3*(y - 1)*(y + 1)**2/2
Let f(u) = u**3 - 8*u**2 + 12*u - 60. Let i(b) = -3*b**3 + 21*b**2 - 36*b + 182. Let h(l) = -17*f(l) - 6*i(l). Factor h(q).
(q - 2)*(q + 6)**2
Let x(o) be the third derivative of 35*o**2 + 2/5*o**5 + 0 + 3/40*o**6 + 1/2*o**4 + 0*o + 0*o**3 - 1/35*o**7 - 1/112*o**8. Find z such that x(z) = 0.
-2, -1, 0, 2
Let p(j) = j**3 - 2*j**2. Let w(t) = 215 - 120*t**3 - 16*t**2 + 1 + 19*t - 127*t + 132*t**3. Let o(a) = -8*p(a) + w(a). Let o(h) = 0. Calculate h.
-6, 3
Let 0 - 180*v - 45/2*v**4 + 365*v**3 + 730*v**2 = 0. Calculate v.
-2, 0, 2/9, 18
Let t(n) = n**2 - 8*n - 1. Let c be t(7). Let m = c - -46. Determine p so that 2*p**2 + 34*p - 76*p + m*p = 0.
0, 2
Let k(r) be the first derivative of -r**4 - 428*r**3/3 - 832*r**2 - 1648*r - 636. Factor k(s).
-4*(s + 2)**2*(s + 103)
Let f be (-73)/(-2) + (-5252)/202. Let x(v) be the first derivative of f*v**2 + v**3 - 21 + 18*v. Factor x(a).
3*(a + 1)*(a + 6)
Let c(o) be the first derivative of 2*o**5/25 - 46*o**4/5 + 4582*o**3/15 - 8008*o**2/5 + 11616*o/5 + 3618. Let c(w) = 0. Calculate w.
1, 3, 44
Let w(a) = -20*a**2 - 62*a - 98. Let z(j) = j**2 + 9. Let r(q) = w(q) + 18*z(q). Determine k so that r(k) = 0.
-32, 1
Let p be ((-7)/21)/(1/(-3))*(282 + -282). Solve 3/5*c - 3/5*c**2 + p - 3/5*c**3 + 3/5*c**4 = 0.
-1, 0, 1
Suppose 24 - 2802*x**3 + 2818*x**3 - 64*x - 6*x**2 + 0*x**2 = 0. Calculate x.
-2, 3/8, 2
Let h(i) be the third derivative of 4*i**5/15 + 73*i**4/12 + 38*i**3 - 5*i**2 + 2*i + 46. Solve h(q) = 0 for q.
-57/8, -2
Let i = 392 - 132. Solve 340*w - 310*w**2 - 22*w**3 + 76 - 15*w**4 + 137*w**3 - i + 64 = 0.
2/3, 2, 3
Let r(l) = l**3 - l**2 - 3*l. Let g(c) = -5*c**3 + 1097*c**2 - 150141*c + 149058. Let s(d) = 2*g(d) + 6*r(d). Factor s(a).
-4*(a - 273)**2*(a - 1)
Suppose 33*l = 36*l - 120. Suppose -3*u + 23 = -2*u + 4*m, 5*u - 5*m - l = 0. Factor -2*x - u - 11 + 46 - 16 - 8*x**2 + 2*x**3.
2*(x - 4)*(x - 1)*(x + 1)
Let v(s) = -13*s**3 + 47*s**2 + 34*s - 17. Let f(g) = 27*g**3 - 95*g**2 - 68*g + 33. Let h = -138 - -141. Let w(b) = h*f(b) + 7*v(b). Let w(i) = 0. What is i?
-1, 2/5, 5
Let s(t) be the third derivative of -t**7/35 + 21*t**6/80 - 29*t**5/40 + 3*t**4/8 + 2*t**2 + 36. Suppose s(n) = 0. What is n?
0, 1/4, 2, 3
Let d(i) = 4*i**2 - 625*i - 112908. Let s(t) = -3*t**2 + 391*t + 75272. Let j(g) = 5*d(g) + 7*s(g). Factor j(w).
-(w + 194)**2
Let m(r) be the second derivative of -r**4/6 - 39*r**3 - 230*r**2 - 5*r + 50. Factor m(f).
-2*(f + 2)*(f + 115)
Suppose -4*q - 405 = 5*w, -6*w + 397 = -4*q - 3*w. Let n be ((-3)/(-4))/((-25)/q). Let 0 + 0*m + 0*m**2 - 4/15*m**n - 2/15*m**4 = 0. Calculate m.
-2, 0
Let n(j) be the third derivative of j**8/336 + 2*j**7/105 - j**6/40 - 7*j**5/30 - j**4/3 - 5221*j**2. Factor n(w).
w*(