e -59 + 3*y**2 + 32*y - 29 + 8*y + 34 + 11*y = 0 for y.
-18, 1
Factor 94*x + 32 + 39*x + 92*x - 79*x + 46*x + 46*x**2.
2*(x + 4)*(23*x + 4)
Let x be 0/((-12)/(-6)*-1) + 5/165. Let f(u) be the second derivative of x*u**4 + 0*u**6 + 0 + 1/231*u**7 + u + 0*u**3 + 0*u**2 - 3/110*u**5. Factor f(l).
2*l**2*(l - 1)**2*(l + 2)/11
Let c = -3/3275 + 32759/9825. Let n(z) be the second derivative of 0 + 22*z + c*z**3 - 25*z**2 - 1/6*z**4. What is b in n(b) = 0?
5
Let x = 7157/17880 + -1/3576. Let g(c) be the second derivative of 1/50*c**5 + 1/10*c**4 - 1/75*c**6 - x*c**2 - 13*c + 0 - 1/15*c**3. Let g(v) = 0. What is v?
-1, 1, 2
Suppose -3*p = c - 1534, -5*p - 5*c = -6*c - 2562. What is o in 512*o**2 + 22*o - 21*o - p*o**2 - o**3 = 0?
-1, 0, 1
Let x(p) = 3*p + 79. Let u be x(0). Suppose -4 + u = 3*b. Factor b*h**3 - 23*h**3 + 9*h**2 + h**2 + 8*h.
2*h*(h + 1)*(h + 4)
Let c(t) be the third derivative of 1 + 0*t**3 - 1/945*t**7 + 1/135*t**6 + 0*t + 2/135*t**5 - 4/27*t**4 + t**2. What is x in c(x) = 0?
-2, 0, 2, 4
Let h = -198 - -122. Let f = 78 + h. Factor -6*w + 12*w**f - 9*w**2 - 9*w + 9 + 9.
3*(w - 3)*(w - 2)
Suppose -34*g - 52*g + 161 = -97. Find c such that -27/5*c**g + 19/5*c**2 + 8/5*c**4 + 4/5*c**5 - 4/5*c + 0 = 0.
-4, 0, 1/2, 1
Let s(q) be the first derivative of -q**4/10 + 26*q**3/15 - 36*q**2/5 - 1328. Find m, given that s(m) = 0.
0, 4, 9
Suppose -48 = -177*j - 48. Let i(o) be the third derivative of 0*o**4 + 0*o**3 - 1/45*o**6 + j*o - 2/315*o**7 + 12*o**2 - 1/45*o**5 + 0. Factor i(u).
-4*u**2*(u + 1)**2/3
Suppose -5*v - w = 665, 3*w - 404 - 241 = 5*v. Let a be (-99)/v*(-2)/12*-2. Factor 0*r + 0 - a*r**3 + 1/4*r**2.
-r**2*(r - 1)/4
Let h(o) be the first derivative of -1/26*o**4 + 2/13*o**3 + 0*o - 29 - 2/13*o**2. Factor h(w).
-2*w*(w - 2)*(w - 1)/13
Let n(g) = 8*g**3 - 111*g**2 + 1534*g - 4262. Let r(v) = -39*v**3 + 558*v**2 - 7671*v + 21324. Let s(u) = 24*n(u) + 5*r(u). Solve s(z) = 0.
4, 19
Let i(z) be the third derivative of -1/30*z**5 + 3*z**3 - 2/3*z**4 + 0 + 39*z**2 + 0*z. Factor i(w).
-2*(w - 1)*(w + 9)
Let a = 142 + -139. Factor -3 - 23*x**2 + 26*x**2 + 42*x + a.
3*x*(x + 14)
Let q(h) be the third derivative of h**8/3360 - h**7/210 + h**6/40 - h**5/15 - 55*h**4/12 - 107*h**2. Let k(r) be the second derivative of q(r). Factor k(t).
2*(t - 4)*(t - 1)**2
Suppose -4*s + 624 = q, -2*s = 5*q - s - 3215. Suppose -8*i + 12*i - q = 0. Suppose -5*x**4 + 6*x**2 + 2*x**4 + i*x**3 - 158*x**3 = 0. What is x?
-1, 0, 2
Suppose 1209*v - 1200*v = 0. Let c(r) be the third derivative of v*r**4 + 0*r + 13*r**2 + 0 + 1/120*r**5 + 0*r**3. Factor c(f).
f**2/2
Let b(g) be the second derivative of -g**4/48 + 7*g**3/8 + 11*g**2/4 - 760*g. Factor b(k).
-(k - 22)*(k + 1)/4
Let w be (-14 - (555/60 + -24))*4/24*32. Find i such that 16/5 + 88/5*i**5 - 12*i**w + 356/5*i**2 - 144/5*i - 256/5*i**3 = 0.
-2, 2/11, 1/2, 1
Let i be (5/5)/((-11)/(-44)). What is s in 0*s - 4*s + 3*s**3 + 3863*s**4 - s**5 - 4*s**2 - 3861*s**i = 0?
-1, 0, 2
Let t(d) be the second derivative of d**6/6 - 25*d**5/4 + 1085*d**4/12 - 1245*d**3/2 + 2025*d**2 + 269*d. Suppose t(a) = 0. Calculate a.
2, 5, 9
Suppose 3*m = -190 + 205. Let a be (-56)/(-8) + -9 + -1 + m. Determine v, given that v**2 + a + 27/5*v = 0.
-5, -2/5
Let v(h) = -h**2 - 63*h + 271. Let f be v(4). Let w(t) be the second derivative of 2/3*t**f + 0 + 0*t**2 + 1/3*t**4 - 21*t. Factor w(i).
4*i*(i + 1)
Solve -1089/8 + 3/8*c**2 + 177/4*c = 0.
-121, 3
Let y be 0/(2/(-2)*-2 + -1). Let b(s) be the second derivative of -12*s**2 + 0*s**4 + y + 14/3*s**3 - 1/5*s**5 + 7*s. Factor b(p).
-4*(p - 2)*(p - 1)*(p + 3)
Let c be 3*(-7)/(-21) + 142 + 1. Let m = 147 - c. Solve -8/3*r**2 - 2/3*r**5 - 10/3*r**4 + 0 + 0*r - 16/3*r**m = 0 for r.
-2, -1, 0
Let c(t) be the first derivative of -14*t**3/15 + 278*t**2/5 + 32*t + 995. Factor c(v).
-2*(v - 40)*(7*v + 2)/5
Factor -738*r - 175 + 1622*r - 746*r - 113 + 0*r**3 + 3*r**3 + 147*r**2.
3*(r - 1)*(r + 2)*(r + 48)
Let j(p) be the third derivative of -p**8/1008 - p**7/315 + 11*p**6/90 + 13*p**5/10 + 45*p**4/8 + 12*p**3 - 3194*p**2. Determine a, given that j(a) = 0.
-3, -1, 8
Let w(f) be the third derivative of f**7/525 + 601*f**6/900 - 403*f**5/450 - 67*f**4/60 - 46*f**2. Let w(t) = 0. Calculate t.
-201, -1/3, 0, 1
Let v(t) be the second derivative of t**6/150 - 2*t**5/5 + 18*t**4/5 - 208*t**3/15 + 136*t**2/5 - 641*t. Let v(d) = 0. Calculate d.
2, 34
Let l(j) be the first derivative of 8*j**4 - 1872*j**3 - 1407*j**2 - 352*j - 1619. What is f in l(f) = 0?
-1/4, 176
Let v(c) be the first derivative of -c**5/4 + 65*c**4/12 - 40*c**3 + 90*c**2 - 55*c + 12. Let r(w) be the first derivative of v(w). Factor r(f).
-5*(f - 6)**2*(f - 1)
Suppose -25*f + 113*f = 0. Let l(s) be the third derivative of -1/75*s**6 - 1/30*s**5 - 1/60*s**4 + f*s + 0 + 0*s**3 + 15*s**2. Let l(p) = 0. Calculate p.
-1, -1/4, 0
Suppose -3/5*j**4 - 159057/5*j**2 - 51520536/5 + 7638219/5*j + 237*j**3 = 0. Calculate j.
8, 129
Let l(c) be the second derivative of c**4/3 - 112*c**3/3 - 1024*c**2 + 2295*c - 1. Factor l(q).
4*(q - 64)*(q + 8)
Let h be 486/(-1701)*((-117)/6 + 2). Factor -8/9*z**2 + 0 - 2/3*z**3 + 8/9*z + 4/9*z**4 + 2/9*z**h.
2*z*(z - 1)**2*(z + 2)**2/9
Let d be (588/210)/(4/10) - -2. Let v(u) be the second derivative of 1/48*u**4 - d*u + 2*u**2 + 0 - 1/3*u**3. Find a such that v(a) = 0.
4
Let y(c) = c**2 - 92*c + 273. Let z(k) = k**2 - 182*k + 548. Suppose -3*m = 15, -l - l + 8 = -4*m. Let r(d) = l*z(d) + 11*y(d). Factor r(f).
5*(f - 3)*(f + 19)
Let f be (1/4)/(0 - 4/(-6416)). Let t = 403 - f. Determine q so that -t*q**3 + 6/7*q + 6/7*q**2 + 6/7*q**4 - 4/7 = 0.
-2/3, 1
Let b(z) = -7*z**2 - 228*z + 154. Let w(n) = n**2 + 26*n - 1. Let a(c) = -b(c) - 6*w(c). Factor a(g).
(g - 2)*(g + 74)
Let z(n) be the third derivative of 1/12*n**4 + 4/7*n**3 + 1/210*n**5 + 0 - 14*n**2 + 6*n. Find g, given that z(g) = 0.
-4, -3
Let m be (171/5)/((-43281)/(-20610)). Factor -m*l**2 + 114/7 + 6/7*l**3 - 6/7*l.
6*(l - 19)*(l - 1)*(l + 1)/7
Let r(m) be the first derivative of -2/3*m**2 + 20*m + 4/9*m**3 + 15 - 1/9*m**4. Let j(q) be the first derivative of r(q). Factor j(l).
-4*(l - 1)**2/3
Factor -4125 - 350*u - 135*u**2 - 3*u**3 + 337*u + 3*u**3 + 3*u**3 - 1562*u.
3*(u - 55)*(u + 5)**2
Let v = -10555 + 10557. Let y(i) be the third derivative of 1/6*i**4 + 0*i - 33*i**v + 1/60*i**6 + 0 + 0*i**3 + 9/50*i**5. Find j, given that y(j) = 0.
-5, -2/5, 0
Let h = -89756 - -89761. Factor -1/3*y**4 + 2/3*y + 0 + 1/3*y**h + 1/3*y**2 - y**3.
y*(y - 2)*(y - 1)*(y + 1)**2/3
Let v(t) be the second derivative of -4*t - 17/48*t**4 - 1/160*t**5 - 20 - 289/48*t**3 + 0*t**2. Factor v(w).
-w*(w + 17)**2/8
Let w(h) be the first derivative of h**4/12 + 2*h**3/9 - 765*h**2/2 + 13608*h + 6126. Factor w(n).
(n - 27)**2*(n + 56)/3
Let x be 0/1 - (651/(-63))/(-31)*(-132)/143. Factor -x*y**3 + 18/13*y**5 - 24/13*y**4 + 8/13*y**2 + 0 + 2/13*y.
2*y*(y - 1)**2*(3*y + 1)**2/13
Suppose -5*l - 141 + 151 = 0. Determine z so that -2*z - 2 + 2*z**l - 2*z + 0*z - 2*z + 6*z**3 = 0.
-1, -1/3, 1
Factor -47432*a - 2/3*a**3 - 7304528/3 - 308*a**2.
-2*(a + 154)**3/3
Suppose -241 = -4*q + 35. Let u = -46 + q. Factor -9 - 2*x - 9*x - 2*x**2 + u*x - 9.
-2*(x - 3)**2
Let g = 217 + 366. Let b = 588 - g. Let 24/7*x**4 + 0*x + 4/7*x**2 + 18/7*x**3 + 0 + 10/7*x**b = 0. What is x?
-1, -2/5, 0
Let h(z) be the first derivative of -4*z**3/3 - 258*z**2 + 520*z - 250. Suppose h(n) = 0. Calculate n.
-130, 1
Let v(l) be the third derivative of l**5/3 + 5*l**4/3 + 25*l**3/6 - 55*l**2. Let i(t) = -17*t**2 - 39*t - 26. Let u(c) = 5*i(c) + 4*v(c). Factor u(o).
-5*(o + 1)*(o + 6)
Suppose 3*z + 12 = -3*b, -28*z - 5*b = -25*z + 10. Let w be (3/z)/(9/(-75)) - 1. Find t such that 88/5*t - 24/5 + 18/5*t**w - 94/5*t**2 + 12/5*t**3 = 0.
-3, 2/3, 1
Let d(u) be the first derivative of 25*u**8/168 - 2*u**7/3 + 11*u**6/15 - 4*u**5/15 + 59*u**2/2 - 64. Let n(m) be the second derivative of d(m). Factor n(z).
2*z**2*(z - 2)*(5*z - 2)**2
Let p(l) be the third derivative of l**5/10 + 23*l**4/8 + 65*l**3/2 + 2*l**2 + 33*l. Factor p(k).
3*(k + 5)*(2*k + 13)
Suppose 12 = m + 4*b, -4*m - 4*b + 3 = -9. Let t(o) be the second derivative of -1/40*o**5 - 1/12*o**4 + 0*o**2 - 1/12*o**3 + m + o. What is h in t(h) = 0?
-1, 0
Suppose a + 6*a = 5*a. Let